%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG060+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 : n019.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 12:53:19 PM UTC 2026
% Result : Theorem 2.71s 1.18s
% Output : CNFRefutation 2.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f58ERROR: Could not build tree for root c_5329ERROR: 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,
( e3 = op(e4,op(e4,e4))
& e2 = op(op(e4,op(e4,e4)),e4)
& e1 = op(e4,e4)
& e0 = op(op(e4,e4),e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f59,plain,
( ~ sP47
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f60,plain,
( ~ sP46
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f61,plain,
( ~ sP45
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f62,plain,
( ~ sP44
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f63,plain,
( ~ sP43
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f64,plain,
( ~ sP42
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f65,plain,
( ~ sP41
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f66,plain,
( ~ sP40
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f67,plain,
( ~ sP39
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f68,plain,
( ~ sP38
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f69,plain,
( ~ sP37
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f70,plain,
( ~ sP36
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f71,plain,
( ~ sP35
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f72,plain,
( ~ sP34
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f73,plain,
( ~ sP33
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f74,plain,
( ~ sP32
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f75,plain,
( ~ sP31
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f76,plain,
( ~ sP30
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f77,plain,
( ~ sP29
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f78,plain,
( ~ sP28
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f79,plain,
( ~ sP27
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f80,plain,
( ~ sP26
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f81,plain,
( ~ sP25
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f82,plain,
( ~ sP24
| ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f83,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(f84,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(f85,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(f86,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(f87,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(f89,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(f90,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(f91,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(f92,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(f93,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(f95,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(f96,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(f97,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(f98,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(f99,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(f101,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(f102,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(f103,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(f104,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(f105,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(f109,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(f111,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(f117,plain,
( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f118,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(f120,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(f127,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(f132,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f138,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f139,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f142,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f148,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f152,plain,
( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f163,plain,
( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f172,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f174,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f176,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f177,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(f178,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f181,plain,
( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f183,plain,
( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f184,plain,
( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f189,plain,
( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f190,plain,
( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f194,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f201,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f206,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f215,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f217,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f218,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f219,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f220,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f222,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f226,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f231,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f234,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f238,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f239,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f244,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f245,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f247,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f248,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f249,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f250,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f251,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f252,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f258,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f261,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f262,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f264,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f267,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f268,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f269,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f272,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f274,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f275,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f276,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f279,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f281,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f282,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f284,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f286,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f287,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f290,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f291,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f293,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f294,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f295,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f296,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f297,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f298,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f299,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f300,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f301,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f302,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f303,plain,
e3 = op(e4,op(e4,e4)),
inference(cnf_transformation,[],[f6]) ).
fof(f304,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(cnf_transformation,[],[f6]) ).
fof(f305,plain,
e1 = op(e4,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f306,plain,
e0 = op(op(e4,e4),e4),
inference(cnf_transformation,[],[f6]) ).
fof(f308,plain,
( ~ sP47
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f310,plain,
( ~ sP46
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f312,plain,
( ~ sP46
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f315,plain,
( ~ sP45
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f61]) ).
fof(f317,plain,
( ~ sP44
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f62]) ).
fof(f321,plain,
( ~ sP43
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f322,plain,
( ~ sP42
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f323,plain,
( ~ sP42
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f325,plain,
( ~ sP41
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f326,plain,
( ~ sP41
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f330,plain,
( ~ sP40
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f333,plain,
( ~ sP39
| e4 = op(e1,e1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f334,plain,
( ~ sP38
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f336,plain,
( ~ sP38
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f339,plain,
( ~ sP37
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f340,plain,
( ~ sP36
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f341,plain,
( ~ sP36
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f344,plain,
( ~ sP35
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f71]) ).
fof(f347,plain,
( ~ sP34
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f349,plain,
( ~ sP33
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f350,plain,
( ~ sP33
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f73]) ).
fof(f353,plain,
( ~ sP32
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f357,plain,
( ~ sP31
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f75]) ).
fof(f358,plain,
( ~ sP30
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f359,plain,
( ~ sP30
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f362,plain,
( ~ sP29
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f77]) ).
fof(f366,plain,
( ~ sP28
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f78]) ).
fof(f368,plain,
( ~ sP27
| e4 = op(e1,e1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f372,plain,
( ~ sP26
| e2 = op(e4,e4) ),
inference(cnf_transformation,[],[f80]) ).
fof(f375,plain,
( ~ sP25
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f81]) ).
fof(f376,plain,
( ~ sP24
| e4 != op(e4,e4) ),
inference(cnf_transformation,[],[f82]) ).
fof(f377,plain,
( ~ sP24
| e4 = op(e4,e4) ),
inference(cnf_transformation,[],[f82]) ).
fof(f380,plain,
( ~ sP23
| e0 = op(op(e0,e1),e1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f381,plain,
( ~ sP23
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f384,plain,
( ~ sP22
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f387,plain,
( ~ sP21
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f389,plain,
( ~ sP20
| e0 = op(op(e0,e4),e4) ),
inference(cnf_transformation,[],[f86]) ).
fof(f390,plain,
( ~ sP20
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f391,plain,
( ~ sP19
| e0 != op(op(e1,e0),e1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f393,plain,
( ~ sP19
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f398,plain,
( ~ sP17
| e1 = op(op(e1,e2),e2) ),
inference(cnf_transformation,[],[f89]) ).
fof(f399,plain,
( ~ sP17
| op(e1,e2) != op(e2,e1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f400,plain,
( ~ sP16
| e3 != op(op(e1,e3),e1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f401,plain,
( ~ sP16
| e1 = op(op(e1,e3),e3) ),
inference(cnf_transformation,[],[f90]) ).
fof(f404,plain,
( ~ sP15
| e1 = op(op(e1,e4),e4) ),
inference(cnf_transformation,[],[f91]) ).
fof(f408,plain,
( ~ sP14
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f410,plain,
( ~ sP13
| e2 = op(op(e2,e1),e1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f411,plain,
( ~ sP13
| op(e1,e2) != op(e2,e1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f416,plain,
( ~ sP11
| e2 = op(op(e2,e3),e3) ),
inference(cnf_transformation,[],[f95]) ).
fof(f417,plain,
( ~ sP11
| op(e2,e3) != op(e3,e2) ),
inference(cnf_transformation,[],[f95]) ).
fof(f418,plain,
( ~ sP10
| e4 != op(op(e2,e4),e2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f420,plain,
( ~ sP10
| op(e2,e4) != op(e4,e2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f423,plain,
( ~ sP9
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f425,plain,
( ~ sP8
| e3 = op(op(e3,e1),e1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f427,plain,
( ~ sP7
| e2 != op(op(e3,e2),e3) ),
inference(cnf_transformation,[],[f99]) ).
fof(f429,plain,
( ~ sP7
| op(e2,e3) != op(e3,e2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f434,plain,
( ~ sP5
| e3 = op(op(e3,e4),e4) ),
inference(cnf_transformation,[],[f101]) ).
fof(f435,plain,
( ~ sP5
| op(e3,e4) != op(e4,e3) ),
inference(cnf_transformation,[],[f101]) ).
fof(f437,plain,
( ~ sP4
| e4 = op(op(e4,e0),e0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f438,plain,
( ~ sP4
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f440,plain,
( ~ sP3
| e4 = op(op(e4,e1),e1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f443,plain,
( ~ sP2
| e4 = op(op(e4,e2),e2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f444,plain,
( ~ sP2
| op(e2,e4) != op(e4,e2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f445,plain,
( ~ sP1
| e3 != op(op(e4,e3),e4) ),
inference(cnf_transformation,[],[f105]) ).
fof(f447,plain,
( ~ sP1
| op(e3,e4) != op(e4,e3) ),
inference(cnf_transformation,[],[f105]) ).
fof(f451,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,[],[f58]) ).
fof(f454,plain,
( sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| sP45
| sP46
| sP47
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f455,plain,
( sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| sP45
| sP46
| sP47
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f58]) ).
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,[],[f127]) ).
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,[],[f120]) ).
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,[],[f118]) ).
tcf(c_63,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e0 ) ),
inference(cnf_transformation,[],[f117]) ).
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,[],[f111]) ).
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,[],[f109]) ).
tcf(c_74,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[],[f142]) ).
tcf(c_75,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],[f141]) ).
tcf(c_76,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f140]) ).
tcf(c_77,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f139]) ).
tcf(c_78,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],[f138]) ).
tcf(c_79,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],[f137]) ).
tcf(c_80,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f136]) ).
tcf(c_81,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f135]) ).
tcf(c_82,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[],[f134]) ).
tcf(c_83,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],[f133]) ).
tcf(c_84,plain,
( ( e4 = unit )
| ( e3 = unit )
| ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit ) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_87,plain,
( ( op(e0,e4) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_88,plain,
( ( op(e4,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_93,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e3) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e1) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_94,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_96,plain,
( ( op(e4,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_99,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(cnf_transformation,[],[f178]) ).
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,[],[f177]) ).
tcf(c_101,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_103,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e1,e0) = e4 ) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_105,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_114,plain,
( ( op(e4,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e0,e2) = e4 ) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_125,plain,
( ( op(e4,e4) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_129,plain,
( ( op(e4,e4) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_136,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f291]) ).
tcf(c_137,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f290]) ).
tcf(c_140,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f287]) ).
tcf(c_141,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f286]) ).
tcf(c_143,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f284]) ).
tcf(c_145,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f282]) ).
tcf(c_146,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f281]) ).
tcf(c_148,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f279]) ).
tcf(c_151,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f276]) ).
tcf(c_152,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f275]) ).
tcf(c_153,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f274]) ).
tcf(c_155,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f272]) ).
tcf(c_158,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f269]) ).
tcf(c_159,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f268]) ).
tcf(c_160,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f267]) ).
tcf(c_163,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f264]) ).
tcf(c_165,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f262]) ).
tcf(c_166,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f261]) ).
tcf(c_169,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f258]) ).
tcf(c_175,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f252]) ).
tcf(c_176,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f251]) ).
tcf(c_177,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f250]) ).
tcf(c_178,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f249]) ).
tcf(c_179,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f248]) ).
tcf(c_180,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f247]) ).
tcf(c_182,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f245]) ).
tcf(c_183,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f244]) ).
tcf(c_188,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f239]) ).
tcf(c_189,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f238]) ).
tcf(c_193,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f234]) ).
tcf(c_196,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f231]) ).
tcf(c_201,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f226]) ).
tcf(c_205,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f222]) ).
tcf(c_207,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f220]) ).
tcf(c_208,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f219]) ).
tcf(c_209,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f218]) ).
tcf(c_210,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f217]) ).
tcf(c_212,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f215]) ).
tcf(c_221,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f206]) ).
tcf(c_224,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_225,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f202]) ).
tcf(c_226,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f201]) ).
tcf(c_228,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f199]) ).
tcf(c_229,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f198]) ).
tcf(c_233,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f194]) ).
tcf(c_235,plain,
e0 != e1,
inference(cnf_transformation,[],[f302]) ).
tcf(c_236,plain,
e0 != e2,
inference(cnf_transformation,[],[f301]) ).
tcf(c_237,plain,
e0 != e3,
inference(cnf_transformation,[],[f300]) ).
tcf(c_238,plain,
e0 != e4,
inference(cnf_transformation,[],[f299]) ).
tcf(c_239,plain,
e1 != e2,
inference(cnf_transformation,[],[f298]) ).
tcf(c_240,plain,
e1 != e3,
inference(cnf_transformation,[],[f297]) ).
tcf(c_241,plain,
e1 != e4,
inference(cnf_transformation,[],[f296]) ).
tcf(c_242,plain,
e2 != e3,
inference(cnf_transformation,[],[f295]) ).
tcf(c_243,plain,
e2 != e4,
inference(cnf_transformation,[],[f294]) ).
tcf(c_244,plain,
e3 != e4,
inference(cnf_transformation,[],[f293]) ).
tcf(c_245,plain,
op(op(e4,e4),e4) = e0,
inference(cnf_transformation,[],[f306]) ).
tcf(c_246,plain,
op(e4,e4) = e1,
inference(cnf_transformation,[],[f305]) ).
tcf(c_247,plain,
op(op(e4,op(e4,e4)),e4) = e2,
inference(cnf_transformation,[],[f304]) ).
tcf(c_248,plain,
op(e4,op(e4,e4)) = e3,
inference(cnf_transformation,[],[f303]) ).
tcf(c_250,plain,
( ( op(e1,e1) = e0 )
| ~ sP47 ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_252,plain,
( ( op(e0,e0) = e2 )
| ~ sP46 ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_254,plain,
( ~ sP46
| ( op(e0,e2) != e0 ) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_255,plain,
( ( op(e0,e0) = e3 )
| ~ sP45 ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_259,plain,
( ( op(e4,e4) = e0 )
| ~ sP44 ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_261,plain,
( ( op(e1,e1) = e0 )
| ~ sP43 ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_265,plain,
( ( op(e1,e1) = e1 )
| ~ sP42 ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_266,plain,
( ~ sP42
| ( op(e1,e1) != e1 ) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_268,plain,
( ( op(e2,e2) = e1 )
| ~ sP41 ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_269,plain,
( ~ sP41
| ( op(e1,e2) != e1 ) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_270,plain,
( ( op(e1,e1) = e3 )
| ~ sP40 ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_273,plain,
( ( op(e1,e1) = e4 )
| ~ sP39 ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_276,plain,
( ( op(e2,e2) = e0 )
| ~ sP38 ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_278,plain,
( ~ sP38
| ( op(e2,e0) != e2 ) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_279,plain,
( ( op(e2,e2) = e1 )
| ~ sP37 ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_283,plain,
( ( op(e2,e2) = e2 )
| ~ sP36 ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_284,plain,
( ~ sP36
| ( op(e2,e2) != e2 ) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_286,plain,
( ( op(e3,e3) = e2 )
| ~ sP35 ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_289,plain,
( ( op(e4,e4) = e2 )
| ~ sP34 ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_292,plain,
( ( op(e0,e0) = e3 )
| ~ sP33 ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_293,plain,
( ~ sP33
| ( op(e3,e0) != e3 ) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_295,plain,
( ( op(e1,e1) = e3 )
| ~ sP32 ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_297,plain,
( ( op(e3,e3) = e2 )
| ~ sP31 ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_301,plain,
( ( op(e3,e3) = e3 )
| ~ sP30 ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_302,plain,
( ~ sP30
| ( op(e3,e3) != e3 ) ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_304,plain,
( ( op(e4,e4) = e3 )
| ~ sP29 ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_306,plain,
( ( op(e4,e4) = e0 )
| ~ sP28 ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_310,plain,
( ( op(e1,e1) = e4 )
| ~ sP27 ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_312,plain,
( ( op(e4,e4) = e2 )
| ~ sP26 ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_315,plain,
( ( op(e4,e4) = e3 )
| ~ sP25 ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_319,plain,
( ( op(e4,e4) = e4 )
| ~ sP24 ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_320,plain,
( ~ sP24
| ( op(e4,e4) != e4 ) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_321,plain,
( ~ sP23
| ( op(e0,e1) != op(e1,e0) ) ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_322,plain,
( ( op(op(e0,e1),e1) = e0 )
| ~ sP23 ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_324,plain,
( ~ sP22
| ( op(e0,e2) != op(e2,e0) ) ),
inference(cnf_transformation,[],[f384]) ).
tcf(c_327,plain,
( ~ sP21
| ( op(e0,e3) != op(e3,e0) ) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_330,plain,
( ~ sP20
| ( op(e0,e4) != op(e4,e0) ) ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_331,plain,
( ( op(op(e0,e4),e4) = e0 )
| ~ sP20 ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_333,plain,
( ~ sP19
| ( op(e0,e1) != op(e1,e0) ) ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_335,plain,
( ~ sP19
| ( op(op(e1,e0),e1) != e0 ) ),
inference(cnf_transformation,[],[f391]) ).
tcf(c_336,plain,
~ sP18,
inference(cnf_transformation,[],[f457]) ).
tcf(c_339,plain,
( ~ sP17
| ( op(e1,e2) != op(e2,e1) ) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_340,plain,
( ( op(op(e1,e2),e2) = e1 )
| ~ sP17 ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_343,plain,
( ( op(op(e1,e3),e3) = e1 )
| ~ sP16 ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_344,plain,
( ~ sP16
| ( op(op(e1,e3),e1) != e3 ) ),
inference(cnf_transformation,[],[f400]) ).
tcf(c_346,plain,
( ( op(op(e1,e4),e4) = e1 )
| ~ sP15 ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_348,plain,
( ~ sP14
| ( op(e0,e2) != op(e2,e0) ) ),
inference(cnf_transformation,[],[f408]) ).
tcf(c_351,plain,
( ~ sP13
| ( op(e1,e2) != op(e2,e1) ) ),
inference(cnf_transformation,[],[f411]) ).
tcf(c_352,plain,
( ( op(op(e2,e1),e1) = e2 )
| ~ sP13 ),
inference(cnf_transformation,[],[f410]) ).
tcf(c_354,plain,
~ sP12,
inference(cnf_transformation,[],[f458]) ).
tcf(c_357,plain,
( ~ sP11
| ( op(e2,e3) != op(e3,e2) ) ),
inference(cnf_transformation,[],[f417]) ).
tcf(c_358,plain,
( ( op(op(e2,e3),e3) = e2 )
| ~ sP11 ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_360,plain,
( ~ sP10
| ( op(e2,e4) != op(e4,e2) ) ),
inference(cnf_transformation,[],[f420]) ).
tcf(c_362,plain,
( ~ sP10
| ( op(op(e2,e4),e2) != e4 ) ),
inference(cnf_transformation,[],[f418]) ).
tcf(c_363,plain,
( ~ sP9
| ( op(e0,e3) != op(e3,e0) ) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_367,plain,
( ( op(op(e3,e1),e1) = e3 )
| ~ sP8 ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_369,plain,
( ~ sP7
| ( op(e2,e3) != op(e3,e2) ) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_371,plain,
( ~ sP7
| ( op(op(e3,e2),e3) != e2 ) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_372,plain,
~ sP6,
inference(cnf_transformation,[],[f459]) ).
tcf(c_375,plain,
( ~ sP5
| ( op(e3,e4) != op(e4,e3) ) ),
inference(cnf_transformation,[],[f435]) ).
tcf(c_376,plain,
( ( op(op(e3,e4),e4) = e3 )
| ~ sP5 ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_378,plain,
( ~ sP4
| ( op(e0,e4) != op(e4,e0) ) ),
inference(cnf_transformation,[],[f438]) ).
tcf(c_379,plain,
( ( op(op(e4,e0),e0) = e4 )
| ~ sP4 ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_382,plain,
( ( op(op(e4,e1),e1) = e4 )
| ~ sP3 ),
inference(cnf_transformation,[],[f440]) ).
tcf(c_384,plain,
( ~ sP2
| ( op(e2,e4) != op(e4,e2) ) ),
inference(cnf_transformation,[],[f444]) ).
tcf(c_385,plain,
( ( op(op(e4,e2),e2) = e4 )
| ~ sP2 ),
inference(cnf_transformation,[],[f443]) ).
tcf(c_387,plain,
( ~ sP1
| ( op(e3,e4) != op(e4,e3) ) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_389,plain,
( ~ sP1
| ( op(op(e4,e3),e4) != e3 ) ),
inference(cnf_transformation,[],[f445]) ).
tcf(c_390,plain,
~ sP0,
inference(cnf_transformation,[],[f460]) ).
tcf(c_394,negated_conjecture,
( sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| sP45
| sP46
| sP47
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_395,negated_conjecture,
( sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| sP45
| sP46
| sP47
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_396,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,[],[f461]) ).
tcf(c_398,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,[],[f451]) ).
tcf(c_399,plain,
~ sP24,
inference(global_subsumption_just,[status(thm)],[c_319,c_319,c_320]) ).
tcf(c_405,plain,
~ sP30,
inference(global_subsumption_just,[status(thm)],[c_301,c_301,c_302]) ).
tcf(c_409,plain,
~ sP36,
inference(global_subsumption_just,[status(thm)],[c_283,c_283,c_284]) ).
tcf(c_415,plain,
~ sP42,
inference(global_subsumption_just,[status(thm)],[c_265,c_265,c_266]) ).
tcf(c_443,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_396,c_390,c_372,c_354,c_336,c_396]) ).
tcf(c_444,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_443]) ).
tcf(c_445,plain,
( sP31
| sP32
| sP33
| sP34
| sP35
| sP43
| sP44
| sP45
| sP46
| sP47
| sP41
| sP40
| sP39
| sP38
| sP37
| sP29
| sP28
| sP27
| sP26
| sP25 ),
inference(global_subsumption_just,[status(thm)],[c_394,c_394,c_395,c_399,c_405,c_409,c_415]) ).
tcf(c_446,negated_conjecture,
( sP25
| sP26
| sP27
| sP28
| sP29
| sP31
| sP32
| sP33
| sP34
| sP35
| sP37
| sP38
| sP39
| sP40
| sP41
| sP43
| sP44
| sP45
| sP46
| sP47 ),
inference(renaming,[status(thm)],[c_445]) ).
tcf(c_455,plain,
( sP31
| sP32
| sP33
| sP34
| sP35
| sP43
| sP44
| sP45
| sP46
| sP47
| sP41
| sP40
| sP39
| sP38
| sP37
| sP29
| sP28
| sP27
| sP26
| sP25 ),
inference(global_subsumption_just,[status(thm)],[c_395,c_446]) ).
tcf(c_456,negated_conjecture,
( sP25
| sP26
| sP27
| sP28
| sP29
| sP31
| sP32
| sP33
| sP34
| sP35
| sP37
| sP38
| sP39
| sP40
| sP41
| sP43
| sP44
| sP45
| sP46
| sP47 ),
inference(renaming,[status(thm)],[c_455]) ).
tcf(c_459,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_398,c_444]) ).
tcf(c_460,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_459]) ).
tcf(c_5329,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_456,c_460,c_389,c_387,c_385,c_384,c_382,c_379,c_378,c_376,c_375,c_371,c_369,c_367,c_363,c_362,c_360,c_358,c_357,c_352,c_351,c_348,c_346,c_344,c_343,c_340,c_339,c_335,c_333,c_331,c_330,c_327,c_324,c_322,c_321,c_315,c_312,c_310,c_306,c_304,c_297,c_295,c_293,c_292,c_289,c_286,c_279,c_278,c_276,c_273,c_270,c_269,c_268,c_261,c_259,c_255,c_254,c_252,c_250,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_233,c_229,c_228,c_226,c_225,c_224,c_221,c_212,c_210,c_209,c_208,c_207,c_205,c_201,c_196,c_193,c_189,c_188,c_183,c_182,c_180,c_179,c_178,c_177,c_176,c_175,c_169,c_166,c_165,c_163,c_160,c_159,c_158,c_155,c_153,c_152,c_151,c_148,c_146,c_145,c_143,c_141,c_140,c_137,c_136,c_129,c_125,c_114,c_105,c_103,c_101,c_100,c_99,c_96,c_94,c_93,c_88,c_87,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_71,c_69,c_63,c_62,c_60,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG060+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 04:39:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 2.71/1.18 % SZS status Started for theBenchmark.p
% 2.71/1.18 % SZS status Theorem for theBenchmark.p
% 2.71/1.18
% 2.71/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.71/1.18
% 2.71/1.18 % ------ iProver source info
% 2.71/1.18
% 2.71/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.71/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.71/1.18 % git: non_committed_changes: false
% 2.71/1.18
% 2.71/1.18 % ------ Parsing...
% 2.71/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.71/1.18
% 2.71/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e %
% 2.71/1.18
% 2.71/1.18 % ------ Preprocessing...%
% 2.71/1.18
% 2.71/1.18 % SZS status Theorem for theBenchmark.p
% 2.71/1.18
% 2.71/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.71/1.20
%------------------------------------------------------------------------------