%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG064+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 : n004.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 12:53:20 PM UTC 2026
% Result : Theorem 4.05s 1.28s
% Output : CNFRefutation 4.05s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f34ERROR: Could not build tree for root c_3670ERROR: 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(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f35,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(f36,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(f37,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(f38,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(f39,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(f41,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(f42,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(f43,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(f44,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(f45,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(f47,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(f48,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(f49,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(f50,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(f51,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(f53,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(f54,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(f55,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(f56,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(f57,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(f60,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(f61,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(f72,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(f75,plain,
( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f98,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(f114,plain,
( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f115,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(f116,plain,
( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f122,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(f129,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(f145,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f146,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f147,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f148,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f179,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f182,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f186,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f190,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f192,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f214,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f216,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f217,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f218,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f219,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f228,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f230,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f233,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f236,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f244,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f245,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f251,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f252,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f253,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f254,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f255,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f257,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f258,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f261,plain,
( ~ sP23
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f264,plain,
( ~ sP22
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f267,plain,
( ~ sP21
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f270,plain,
( ~ sP20
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f273,plain,
( ~ sP19
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f278,plain,
( ~ sP17
| e1 = op(op(e1,e2),e2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f282,plain,
( ~ sP16
| op(e1,e3) != op(e3,e1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f285,plain,
( ~ sP15
| op(e1,e4) != op(e4,e1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f288,plain,
( ~ sP14
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f291,plain,
( ~ sP13
| op(e1,e2) != op(e2,e1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f297,plain,
( ~ sP11
| op(e2,e3) != op(e3,e2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f300,plain,
( ~ sP10
| op(e2,e4) != op(e4,e2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f303,plain,
( ~ sP9
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f306,plain,
( ~ sP8
| op(e1,e3) != op(e3,e1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f309,plain,
( ~ sP7
| op(e2,e3) != op(e3,e2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f315,plain,
( ~ sP5
| op(e3,e4) != op(e4,e3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f318,plain,
( ~ sP4
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f321,plain,
( ~ sP3
| op(e1,e4) != op(e4,e1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f323,plain,
( ~ sP2
| e4 = op(op(e4,e2),e2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f327,plain,
( ~ sP1
| op(e3,e4) != op(e4,e3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f331,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,[],[f34]) ).
fof(f337,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f338,plain,
( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_57,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(cnf_transformation,[],[f75]) ).
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,[],[f72]) ).
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,[],[f61]) ).
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,[],[f60]) ).
tcf(c_75,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],[f93]) ).
tcf(c_76,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f92]) ).
tcf(c_77,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f91]) ).
tcf(c_78,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],[f90]) ).
tcf(c_79,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],[f89]) ).
tcf(c_80,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f88]) ).
tcf(c_81,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f87]) ).
tcf(c_82,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[],[f86]) ).
tcf(c_83,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],[f85]) ).
tcf(c_84,plain,
( ( e4 = unit )
| ( e3 = unit )
| ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit ) ),
inference(cnf_transformation,[],[f84]) ).
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,[],[f129]) ).
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,[],[f122]) ).
tcf(c_113,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(cnf_transformation,[],[f116]) ).
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,[],[f115]) ).
tcf(c_115,plain,
( ( op(e3,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f114]) ).
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,[],[f98]) ).
tcf(c_132,plain,
( ( op(e4,e4) = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_135,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f244]) ).
tcf(c_143,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f236]) ).
tcf(c_146,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f233]) ).
tcf(c_149,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f230]) ).
tcf(c_151,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f228]) ).
tcf(c_160,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f219]) ).
tcf(c_161,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f218]) ).
tcf(c_162,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f217]) ).
tcf(c_163,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f216]) ).
tcf(c_165,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f214]) ).
tcf(c_168,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f211]) ).
tcf(c_176,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_187,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f192]) ).
tcf(c_189,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f190]) ).
tcf(c_193,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f186]) ).
tcf(c_197,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f182]) ).
tcf(c_199,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f180]) ).
tcf(c_200,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f179]) ).
tcf(c_202,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f177]) ).
tcf(c_205,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f174]) ).
tcf(c_209,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f170]) ).
tcf(c_213,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f166]) ).
tcf(c_218,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f161]) ).
tcf(c_226,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f153]) ).
tcf(c_227,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f152]) ).
tcf(c_231,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f148]) ).
tcf(c_232,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f147]) ).
tcf(c_233,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f146]) ).
tcf(c_234,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f145]) ).
tcf(c_235,plain,
e0 != e1,
inference(cnf_transformation,[],[f254]) ).
tcf(c_236,plain,
e0 != e2,
inference(cnf_transformation,[],[f253]) ).
tcf(c_237,plain,
e0 != e3,
inference(cnf_transformation,[],[f252]) ).
tcf(c_238,plain,
e0 != e4,
inference(cnf_transformation,[],[f251]) ).
tcf(c_239,plain,
e1 != e2,
inference(cnf_transformation,[],[f250]) ).
tcf(c_240,plain,
e1 != e3,
inference(cnf_transformation,[],[f249]) ).
tcf(c_241,plain,
e1 != e4,
inference(cnf_transformation,[],[f248]) ).
tcf(c_242,plain,
e2 != e3,
inference(cnf_transformation,[],[f247]) ).
tcf(c_243,plain,
e2 != e4,
inference(cnf_transformation,[],[f246]) ).
tcf(c_244,plain,
e3 != e4,
inference(cnf_transformation,[],[f245]) ).
tcf(c_245,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = e0,
inference(cnf_transformation,[],[f258]) ).
tcf(c_246,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(cnf_transformation,[],[f257]) ).
tcf(c_247,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = e3,
inference(cnf_transformation,[],[f256]) ).
tcf(c_248,plain,
op(e1,e1) = e4,
inference(cnf_transformation,[],[f255]) ).
tcf(c_249,plain,
( ~ sP23
| ( op(e0,e1) != op(e1,e0) ) ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_252,plain,
( ~ sP22
| ( op(e0,e2) != op(e2,e0) ) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_255,plain,
( ~ sP21
| ( op(e0,e3) != op(e3,e0) ) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_258,plain,
( ~ sP20
| ( op(e0,e4) != op(e4,e0) ) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_261,plain,
( ~ sP19
| ( op(e0,e1) != op(e1,e0) ) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_264,plain,
~ sP18,
inference(cnf_transformation,[],[f339]) ).
tcf(c_268,plain,
( ( op(op(e1,e2),e2) = e1 )
| ~ sP17 ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_270,plain,
( ~ sP16
| ( op(e1,e3) != op(e3,e1) ) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_273,plain,
( ~ sP15
| ( op(e1,e4) != op(e4,e1) ) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_276,plain,
( ~ sP14
| ( op(e0,e2) != op(e2,e0) ) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_279,plain,
( ~ sP13
| ( op(e1,e2) != op(e2,e1) ) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_282,plain,
~ sP12,
inference(cnf_transformation,[],[f340]) ).
tcf(c_285,plain,
( ~ sP11
| ( op(e2,e3) != op(e3,e2) ) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_288,plain,
( ~ sP10
| ( op(e2,e4) != op(e4,e2) ) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_291,plain,
( ~ sP9
| ( op(e0,e3) != op(e3,e0) ) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_294,plain,
( ~ sP8
| ( op(e1,e3) != op(e3,e1) ) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_297,plain,
( ~ sP7
| ( op(e2,e3) != op(e3,e2) ) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_300,plain,
~ sP6,
inference(cnf_transformation,[],[f341]) ).
tcf(c_303,plain,
( ~ sP5
| ( op(e3,e4) != op(e4,e3) ) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_306,plain,
( ~ sP4
| ( op(e0,e4) != op(e4,e0) ) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_309,plain,
( ~ sP3
| ( op(e1,e4) != op(e4,e1) ) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_313,plain,
( ( op(op(e4,e2),e2) = e4 )
| ~ sP2 ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_315,plain,
( ~ sP1
| ( op(e3,e4) != op(e4,e3) ) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_318,plain,
~ sP0,
inference(cnf_transformation,[],[f342]) ).
tcf(c_321,negated_conjecture,
( ( op(e4,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_322,negated_conjecture,
( ( op(e4,e4) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_326,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,[],[f343]) ).
tcf(c_328,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,[],[f331]) ).
tcf(c_345,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_326,c_318,c_300,c_282,c_264,c_326]) ).
tcf(c_346,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_345]) ).
tcf(c_357,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_328,c_346]) ).
tcf(c_358,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_357]) ).
tcf(c_3670,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_358,c_322,c_321,c_315,c_313,c_309,c_306,c_303,c_297,c_294,c_291,c_288,c_285,c_279,c_276,c_273,c_270,c_268,c_261,c_258,c_255,c_252,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_227,c_226,c_218,c_213,c_209,c_205,c_202,c_200,c_199,c_197,c_193,c_189,c_187,c_176,c_168,c_165,c_163,c_162,c_161,c_160,c_151,c_149,c_146,c_143,c_135,c_132,c_131,c_115,c_114,c_113,c_107,c_100,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_72,c_71,c_60,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG064+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 04:40:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 4.05/1.28 % SZS status Started for theBenchmark.p
% 4.05/1.28 % SZS status Theorem for theBenchmark.p
% 4.05/1.28
% 4.05/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.05/1.28
% 4.05/1.28 % ------ iProver source info
% 4.05/1.28
% 4.05/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.05/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.05/1.28 % git: non_committed_changes: false
% 4.05/1.28
% 4.05/1.28 % ------ Parsing...
% 4.05/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.05/1.28
% 4.05/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 4.05/1.28
% 4.05/1.28 % ------ Preprocessing...%
% 4.05/1.28
% 4.05/1.28 % SZS status Theorem for theBenchmark.p
% 4.05/1.28
% 4.05/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.05/1.28
% 4.05/1.28
%------------------------------------------------------------------------------