%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG068+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 2.70s 1.30s
% Output : CNFRefutation 4.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f34ERROR: Could not build tree for root c_3332ERROR: 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e3 = op(e2,e4)
& e1 = op(e4,e2)
& e0 = op(op(e4,e2),op(e4,e2)) ),
file('/export/starexec/sandbox2/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(f59,plain,
( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
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(f62,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(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(f74,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(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(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(f101,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
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(f117,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(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(f150,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f168,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f179,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f181,plain,
op(e1,e0) != op(e1,e4),
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(f187,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f190,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f196,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f197,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f204,plain,
op(e0,e4) != op(e1,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(f215,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f216,plain,
op(e2,e2) != op(e4,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(f240,plain,
op(e1,e0) != op(e2,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(f253,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f255,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f257,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f258,plain,
( ~ sP23
| e1 != op(op(e0,e1),e0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f263,plain,
( ~ sP22
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f266,plain,
( ~ sP21
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f269,plain,
( ~ sP20
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f270,plain,
( ~ sP19
| e0 != op(op(e1,e0),e1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f277,plain,
( ~ sP17
| e1 = op(op(e1,e2),e2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f279,plain,
( ~ sP16
| e3 != op(op(e1,e3),e1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f282,plain,
( ~ sP15
| e4 != op(op(e1,e4),e1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f287,plain,
( ~ sP14
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f288,plain,
( ~ sP13
| e1 != op(op(e2,e1),e2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f294,plain,
( ~ sP11
| e3 != op(op(e2,e3),e2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f298,plain,
( ~ sP10
| e2 = op(op(e2,e4),e4) ),
inference(cnf_transformation,[],[f48]) ).
fof(f302,plain,
( ~ sP9
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f303,plain,
( ~ sP8
| e1 != op(op(e3,e1),e3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f306,plain,
( ~ sP7
| e2 != op(op(e3,e2),e3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f313,plain,
( ~ sP5
| e3 = op(op(e3,e4),e4) ),
inference(cnf_transformation,[],[f53]) ).
fof(f317,plain,
( ~ sP4
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f318,plain,
( ~ sP3
| e1 != op(op(e4,e1),e4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f321,plain,
( ~ sP2
| e2 != op(op(e4,e2),e4) ),
inference(cnf_transformation,[],[f56]) ).
fof(f324,plain,
( ~ sP1
| e3 != op(op(e4,e3),e4) ),
inference(cnf_transformation,[],[f57]) ).
fof(f330,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(f335,plain,
( e4 = op(e4,e2)
| e2 != op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f337,plain,
( e4 = op(e4,e0)
| e0 != op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f343,plain,
( e2 = op(e2,e4)
| e4 != op(e2,e2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f352,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
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_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,[],[f74]) ).
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_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,[],[f62]) ).
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_73,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e4) = e3 )
| ( op(e4,e4) = e2 )
| ( op(e4,e4) = e1 )
| ( op(e4,e4) = e0 ) ),
inference(cnf_transformation,[],[f59]) ).
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_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,[],[f117]) ).
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_128,plain,
( ( op(e4,e4) = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(cnf_transformation,[],[f101]) ).
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_139,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f240]) ).
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_163,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f216]) ).
tcf(c_164,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f215]) ).
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_175,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f204]) ).
tcf(c_179,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f200]) ).
tcf(c_180,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f199]) ).
tcf(c_182,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f197]) ).
tcf(c_183,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f196]) ).
tcf(c_189,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f190]) ).
tcf(c_192,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f187]) ).
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_198,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f181]) ).
tcf(c_200,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f179]) ).
tcf(c_201,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f178]) ).
tcf(c_204,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f175]) ).
tcf(c_205,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f174]) ).
tcf(c_211,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f168]) ).
tcf(c_213,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f166]) ).
tcf(c_216,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f163]) ).
tcf(c_225,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f154]) ).
tcf(c_227,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f152]) ).
tcf(c_228,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f151]) ).
tcf(c_229,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f150]) ).
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_236,plain,
e0 != e2,
inference(cnf_transformation,[],[f253]) ).
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(op(e4,e2),op(e4,e2)) = e0,
inference(cnf_transformation,[],[f257]) ).
tcf(c_246,plain,
op(e4,e2) = e1,
inference(cnf_transformation,[],[f256]) ).
tcf(c_247,plain,
op(e2,e4) = e3,
inference(cnf_transformation,[],[f255]) ).
tcf(c_250,plain,
( ~ sP23
| ( op(op(e0,e1),e0) != e1 ) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_251,plain,
( ~ sP22
| ( op(e0,e2) != op(e2,e0) ) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_254,plain,
( ~ sP21
| ( op(e0,e3) != op(e3,e0) ) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_257,plain,
( ~ sP20
| ( op(e0,e4) != op(e4,e0) ) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_262,plain,
( ~ sP19
| ( op(op(e1,e0),e1) != e0 ) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_263,plain,
~ sP18,
inference(cnf_transformation,[],[f358]) ).
tcf(c_267,plain,
( ( op(op(e1,e2),e2) = e1 )
| ~ sP17 ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_271,plain,
( ~ sP16
| ( op(op(e1,e3),e1) != e3 ) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_274,plain,
( ~ sP15
| ( op(op(e1,e4),e1) != e4 ) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_275,plain,
( ~ sP14
| ( op(e0,e2) != op(e2,e0) ) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_280,plain,
( ~ sP13
| ( op(op(e2,e1),e2) != e1 ) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_281,plain,
~ sP12,
inference(cnf_transformation,[],[f359]) ).
tcf(c_286,plain,
( ~ sP11
| ( op(op(e2,e3),e2) != e3 ) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_288,plain,
( ( op(op(e2,e4),e4) = e2 )
| ~ sP10 ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_290,plain,
( ~ sP9
| ( op(e0,e3) != op(e3,e0) ) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_295,plain,
( ~ sP8
| ( op(op(e3,e1),e3) != e1 ) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_298,plain,
( ~ sP7
| ( op(op(e3,e2),e3) != e2 ) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_299,plain,
~ sP6,
inference(cnf_transformation,[],[f360]) ).
tcf(c_303,plain,
( ( op(op(e3,e4),e4) = e3 )
| ~ sP5 ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_305,plain,
( ~ sP4
| ( op(e0,e4) != op(e4,e0) ) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_310,plain,
( ~ sP3
| ( op(op(e4,e1),e4) != e1 ) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_313,plain,
( ~ sP2
| ( op(op(e4,e2),e4) != e2 ) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_316,plain,
( ~ sP1
| ( op(op(e4,e3),e4) != e3 ) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_317,plain,
~ sP0,
inference(cnf_transformation,[],[f361]) ).
tcf(c_324,negated_conjecture,
( ( op(e1,e0) = e1 )
| ( op(e1,e1) != e0 ) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_331,negated_conjecture,
( ( op(e2,e4) = e2 )
| ( op(e2,e2) != e4 ) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_336,negated_conjecture,
( ( op(e4,e0) = e4 )
| ( op(e4,e4) != e0 ) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_338,negated_conjecture,
( ( op(e4,e2) = e4 )
| ( op(e4,e4) != e2 ) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_340,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,[],[f362]) ).
tcf(c_342,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,[],[f330]) ).
tcf(c_359,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_340,c_317,c_299,c_281,c_263,c_340]) ).
tcf(c_360,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_359]) ).
tcf(c_375,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_342,c_360]) ).
tcf(c_376,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_375]) ).
tcf(c_3332,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_376,c_338,c_336,c_331,c_324,c_316,c_313,c_310,c_305,c_303,c_298,c_295,c_290,c_288,c_286,c_280,c_275,c_274,c_271,c_267,c_262,c_257,c_254,c_251,c_250,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_236,c_234,c_233,c_232,c_231,c_229,c_228,c_227,c_225,c_216,c_213,c_211,c_205,c_204,c_201,c_200,c_198,c_197,c_193,c_192,c_189,c_183,c_182,c_180,c_179,c_175,c_168,c_165,c_164,c_163,c_151,c_149,c_146,c_139,c_131,c_128,c_114,c_112,c_107,c_100,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_73,c_72,c_70,c_60,c_58,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG068+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n010.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Fri Sep 25 04:41:18 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 2.70/1.30 % SZS status Started for theBenchmark.p
% 2.70/1.30 % SZS status Theorem for theBenchmark.p
% 2.70/1.30
% 2.70/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.70/1.30
% 2.70/1.30 % ------ iProver source info
% 2.70/1.30
% 2.70/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.70/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.70/1.30 % git: non_committed_changes: false
% 2.70/1.30
% 2.70/1.30 % ------ Parsing...
% 2.70/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.70/1.30
% 2.70/1.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 2.70/1.30
% 2.70/1.30 % ------ Preprocessing...%
% 2.70/1.30
% 2.70/1.30 % SZS status Theorem for theBenchmark.p
% 2.70/1.30
% 2.70/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.27/1.30
% 4.27/1.30
%------------------------------------------------------------------------------