%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG065+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 : n001.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 3.43s 1.27s
% Output : CNFRefutation 3.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f20ERROR: Could not build tree for root c_8368ERROR: 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(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(f21,plain,
( ~ sP9
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f22,plain,
( ~ sP8
| ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f31,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(f33,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(f37,plain,
( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f40,plain,
( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f41,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(f43,plain,
( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f45,plain,
( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f53,plain,
( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f76,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(f85,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f92,plain,
( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f95,plain,
( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f96,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(f107,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(f109,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f118,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f123,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f134,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f135,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f136,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f138,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f144,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f145,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f165,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f168,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f179,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f183,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f193,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f207,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f209,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f212,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f217,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f219,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f227,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f228,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f229,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f230,plain,
( ~ sP9
| e3 = op(e0,op(e3,e0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f231,plain,
( ~ sP9
| e0 != op(e3,op(e3,e0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f233,plain,
( ~ sP8
| e0 != op(e4,op(e4,e0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f285,plain,
( sP8
| sP9
| e0 != op(e2,op(e2,e0))
| e0 != op(e1,op(e1,e0))
| e0 = op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f289,plain,
( sP8
| sP9
| e0 != op(e2,op(e2,e0))
| e0 != op(e1,op(e1,e0))
| e0 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f292,plain,
( e4 = op(e4,e2)
| e2 != op(e4,e4) ),
inference(cnf_transformation,[],[f20]) ).
fof(f294,plain,
( e4 = op(e4,e0)
| e0 != op(e4,e4) ),
inference(cnf_transformation,[],[f20]) ).
fof(f295,plain,
( e3 = op(e3,e4)
| e4 != op(e3,e3) ),
inference(cnf_transformation,[],[f20]) ).
fof(f297,plain,
( e3 = op(e3,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f20]) ).
fof(f298,plain,
( e3 = op(e3,e1)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f20]) ).
fof(f300,plain,
( e2 = op(e2,e4)
| e4 != op(e2,e2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f304,plain,
( e2 = op(e2,e0)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f309,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f310,plain,
( e0 = op(e0,e4)
| op(e0,e0) != e4 ),
inference(cnf_transformation,[],[f20]) ).
fof(f311,plain,
( e0 = op(e0,e3)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_51,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_59,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_61,plain,
( ( op(e2,e2) = e4 )
| ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(cnf_transformation,[],[f43]) ).
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,[],[f41]) ).
tcf(c_64,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_67,plain,
( ( op(e3,e3) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(cnf_transformation,[],[f37]) ).
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,[],[f33]) ).
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,[],[f31]) ).
tcf(c_92,plain,
( ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f109]) ).
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,[],[f107]) ).
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,[],[f96]) ).
tcf(c_106,plain,
( ( op(e4,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_109,plain,
( ( op(e2,e4) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_116,plain,
( ( op(e4,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f85]) ).
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,[],[f76]) ).
tcf(c_139,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f212]) ).
tcf(c_140,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f211]) ).
tcf(c_142,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f209]) ).
tcf(c_143,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f208]) ).
tcf(c_144,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f207]) ).
tcf(c_149,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f202]) ).
tcf(c_151,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f200]) ).
tcf(c_156,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f195]) ).
tcf(c_158,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f193]) ).
tcf(c_163,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f188]) ).
tcf(c_166,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f185]) ).
tcf(c_168,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f183]) ).
tcf(c_172,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f179]) ).
tcf(c_173,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f178]) ).
tcf(c_174,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f177]) ).
tcf(c_176,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f175]) ).
tcf(c_182,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f169]) ).
tcf(c_183,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f168]) ).
tcf(c_186,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f165]) ).
tcf(c_192,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f159]) ).
tcf(c_193,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f158]) ).
tcf(c_199,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f152]) ).
tcf(c_200,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f151]) ).
tcf(c_206,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f145]) ).
tcf(c_207,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f144]) ).
tcf(c_208,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f143]) ).
tcf(c_213,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f138]) ).
tcf(c_215,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f136]) ).
tcf(c_216,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f135]) ).
tcf(c_217,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f134]) ).
tcf(c_228,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f123]) ).
tcf(c_233,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f118]) ).
tcf(c_234,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f117]) ).
tcf(c_235,plain,
e0 != e1,
inference(cnf_transformation,[],[f226]) ).
tcf(c_236,plain,
e0 != e2,
inference(cnf_transformation,[],[f225]) ).
tcf(c_237,plain,
e0 != e3,
inference(cnf_transformation,[],[f224]) ).
tcf(c_238,plain,
e0 != e4,
inference(cnf_transformation,[],[f223]) ).
tcf(c_240,plain,
e1 != e3,
inference(cnf_transformation,[],[f221]) ).
tcf(c_241,plain,
e1 != e4,
inference(cnf_transformation,[],[f220]) ).
tcf(c_242,plain,
e2 != e3,
inference(cnf_transformation,[],[f219]) ).
tcf(c_244,plain,
e3 != e4,
inference(cnf_transformation,[],[f217]) ).
tcf(c_245,plain,
op(op(e4,e2),op(e4,e2)) = e0,
inference(cnf_transformation,[],[f229]) ).
tcf(c_246,plain,
op(e4,e2) = e1,
inference(cnf_transformation,[],[f228]) ).
tcf(c_247,plain,
op(e2,e4) = e3,
inference(cnf_transformation,[],[f227]) ).
tcf(c_248,plain,
( ~ sP9
| ( op(e3,op(e3,e0)) != e0 ) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_249,plain,
( ( op(e0,op(e3,e0)) = e3 )
| ~ sP9 ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_250,plain,
( ~ sP8
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_270,negated_conjecture,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) != e3 ) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_271,negated_conjecture,
( ( op(e0,e4) = e0 )
| ( op(e0,e0) != e4 ) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_272,negated_conjecture,
( ( op(e1,e0) = e1 )
| ( op(e1,e1) != e0 ) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_276,negated_conjecture,
( ( op(e2,e0) = e2 )
| ( op(e2,e2) != e0 ) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_279,negated_conjecture,
( ( op(e2,e4) = e2 )
| ( op(e2,e2) != e4 ) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_281,negated_conjecture,
( ( op(e3,e1) = e3 )
| ( op(e3,e3) != e1 ) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_282,negated_conjecture,
( ( op(e3,e2) = e3 )
| ( op(e3,e3) != e2 ) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_283,negated_conjecture,
( ( op(e3,e4) = e3 )
| ( op(e3,e3) != e4 ) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_284,negated_conjecture,
( ( op(e4,e0) = e4 )
| ( op(e4,e4) != e0 ) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_286,negated_conjecture,
( ( op(e4,e2) = e4 )
| ( op(e4,e4) != e2 ) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_288,negated_conjecture,
( sP8
| sP9
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) != e0 ) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_292,negated_conjecture,
( sP8
| sP9
| ( op(e0,op(e0,e0)) = e0 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_400,plain,
( sP8
| sP9
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e2,op(e2,e0)) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_292,c_292,c_288]) ).
tcf(c_401,negated_conjecture,
( sP8
| sP9
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(renaming,[status(thm)],[c_400]) ).
tcf(c_414,negated_conjecture,
( sP8
| sP9
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e1,op(e1,e0)) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_288,c_401]) ).
tcf(c_424,plain,
op(e4,e2) = e1,
inference(global_subsumption_just,[status(thm)],[c_71,c_246]) ).
tcf(c_426,plain,
op(e2,e4) = e3,
inference(global_subsumption_just,[status(thm)],[c_63,c_247]) ).
tcf(c_1746,plain,
op(e4,e4) != e1,
inference(light_normalisation,[status(thm)],[c_233,c_424]) ).
tcf(c_1751,plain,
op(e2,e2) != e3,
inference(light_normalisation,[status(thm)],[c_213,c_426]) ).
tcf(c_1753,plain,
op(e2,e0) != e3,
inference(light_normalisation,[status(thm)],[c_208,c_426]) ).
tcf(c_1754,plain,
op(e4,e4) != e3,
inference(light_normalisation,[status(thm)],[c_183,c_426]) ).
tcf(c_1755,plain,
op(e3,e4) != e3,
inference(light_normalisation,[status(thm)],[c_182,c_426]) ).
tcf(c_1757,plain,
op(e0,e4) != e3,
inference(light_normalisation,[status(thm)],[c_176,c_426]) ).
tcf(c_1759,plain,
op(e2,e2) != e1,
inference(light_normalisation,[status(thm)],[c_163,c_424]) ).
tcf(c_1761,plain,
op(e0,e2) != e1,
inference(light_normalisation,[status(thm)],[c_158,c_424]) ).
tcf(c_1795,plain,
op(e1,e1) = e0,
inference(light_normalisation,[status(thm)],[c_245,c_424]) ).
tcf(c_1797,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm)],[c_149,c_1795]) ).
tcf(c_1799,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm)],[c_151,c_1795]) ).
tcf(c_1801,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm)],[c_199,c_1795]) ).
tcf(c_1802,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm)],[c_200,c_1795]) ).
tcf(c_1839,plain,
( ( e1 = e4 )
| ( op(e4,e4) != e2 ) ),
inference(light_normalisation,[status(thm)],[c_286,c_424]) ).
tcf(c_1840,plain,
op(e4,e4) != e2,
inference(forward_subsumption_resolution,[status(thm)],[c_1839,c_241]) ).
tcf(c_1845,plain,
op(e3,e3) != e4,
inference(forward_subsumption_resolution,[status(thm)],[c_283,c_1755]) ).
tcf(c_1858,plain,
( ( e2 = e3 )
| ( op(e2,e2) != e4 ) ),
inference(light_normalisation,[status(thm)],[c_279,c_426]) ).
tcf(c_1859,plain,
op(e2,e2) != e4,
inference(forward_subsumption_resolution,[status(thm)],[c_1858,c_242]) ).
tcf(c_1867,plain,
( ( op(e1,e0) = e1 )
| ( e0 != e0 ) ),
inference(demodulation,[status(thm)],[c_272,c_1795]) ).
tcf(c_1868,plain,
op(e1,e0) = e1,
inference(equality_resolution_simp,[status(thm)],[c_1867]) ).
tcf(c_1871,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm)],[c_139,c_1868]) ).
tcf(c_1872,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm)],[c_140,c_1868]) ).
tcf(c_1974,plain,
( sP8
| sP9
| ( e0 != e0 )
| ( op(e2,op(e2,e0)) != e0 ) ),
inference(light_normalisation,[status(thm)],[c_414,c_1795,c_1868]) ).
tcf(c_1975,plain,
( sP8
| sP9
| ( op(e2,op(e2,e0)) != e0 ) ),
inference(equality_resolution_simp,[status(thm)],[c_1974]) ).
tcf(c_2259,plain,
( ( e0 = e1 )
| ( op(e4,e4) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_125,c_424]) ).
tcf(c_2260,plain,
( ( op(e4,e4) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2259,c_235,c_1799]) ).
tcf(c_2362,plain,
( ( op(e4,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116,c_1802]) ).
tcf(c_2435,plain,
( ( e2 = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(light_normalisation,[status(thm)],[c_109,c_426]) ).
tcf(c_2436,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2435,c_242]) ).
tcf(c_2457,plain,
( ( e0 = e1 )
| ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_106,c_424]) ).
tcf(c_2458,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2457,c_235,c_1801]) ).
tcf(c_2468,plain,
( ( e0 = e3 )
| ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_105,c_426]) ).
tcf(c_2469,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2468,c_237,c_1797]) ).
tcf(c_2559,plain,
( ( e1 = e4 )
| ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(light_normalisation,[status(thm)],[c_94,c_1868]) ).
tcf(c_2560,plain,
( ( op(e4,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e0,e0) = e4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2559,c_241]) ).
tcf(c_2583,plain,
( ( e1 = e3 )
| ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(light_normalisation,[status(thm)],[c_92,c_1868]) ).
tcf(c_2584,plain,
( ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2583,c_240,c_1753]) ).
tcf(c_2668,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e4) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73,c_1754,c_1840,c_1746]) ).
tcf(c_2724,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67,c_1845]) ).
tcf(c_2763,plain,
( ( op(e3,e0) = e4 )
| ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64,c_1872]) ).
tcf(c_2789,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61,c_1859,c_1751,c_1759]) ).
tcf(c_2806,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59,c_1753,c_1871]) ).
tcf(c_2866,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51,c_1761]) ).
tcf(c_4100,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_2436,c_276,c_2789]) ).
tcf(c_4101,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(renaming,[status(thm)],[c_4100]) ).
tcf(c_7037,definition,
iPr_def_10 = op(e0,e0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_7040,definition,
iPr_def_13 = op(e2,e0),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_7041,definition,
iPr_def_14 = op(e2,e2),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_7042,definition,
iPr_def_15 = op(e3,e0),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_7043,definition,
iPr_def_16 = op(e3,e3),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_7044,definition,
iPr_def_17 = op(e4,e4),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_7045,definition,
iPr_def_18 = op(e4,e0),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_7047,definition,
iPr_def_20 = op(e0,e3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_7048,definition,
iPr_def_21 = op(e0,e4),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_7053,definition,
iPr_def_26 = op(e3,e2),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_7054,definition,
iPr_def_27 = op(e3,e1),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_7062,definition,
iPr_def_35 = op(e2,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_35])],[]) ).
tcf(c_7082,plain,
( ( iPr_def_13 = e4 )
| ( iPr_def_13 = e2 )
| ( iPr_def_13 = e0 ) ),
inference(demodulation,[status(thm)],[c_2806,c_7040]) ).
tcf(c_7083,plain,
( ( iPr_def_14 = e2 )
| ( iPr_def_14 = e0 ) ),
inference(demodulation,[status(thm)],[c_2789,c_7041]) ).
tcf(c_7084,plain,
( ( iPr_def_15 = e4 )
| ( iPr_def_15 = e3 )
| ( iPr_def_15 = e2 )
| ( iPr_def_15 = e0 ) ),
inference(demodulation,[status(thm)],[c_2763,c_7042]) ).
tcf(c_7085,plain,
( ( iPr_def_16 = e3 )
| ( iPr_def_16 = e2 )
| ( iPr_def_16 = e1 )
| ( iPr_def_16 = e0 ) ),
inference(demodulation,[status(thm)],[c_2724,c_7043]) ).
tcf(c_7086,plain,
( ( iPr_def_17 = e4 )
| ( iPr_def_17 = e0 ) ),
inference(demodulation,[status(thm)],[c_2668,c_7044]) ).
tcf(c_7090,plain,
( ( iPr_def_18 = e3 )
| ( iPr_def_15 = e3 )
| ( iPr_def_10 = e3 ) ),
inference(demodulation,[status(thm)],[c_2584]) ).
tcf(c_7091,plain,
( ( iPr_def_18 = e4 )
| ( iPr_def_15 = e4 )
| ( iPr_def_13 = e4 )
| ( iPr_def_10 = e4 ) ),
inference(demodulation,[status(thm)],[c_2560]) ).
tcf(c_7113,plain,
( sP8
| sP9
| ( iPr_def_35 != e0 ) ),
inference(demodulation,[status(thm)],[c_1975,c_7062]) ).
tcf(c_7140,negated_conjecture,
( ( iPr_def_18 = e4 )
| ( iPr_def_17 != e0 ) ),
inference(demodulation,[status(thm)],[c_284]) ).
tcf(c_7141,negated_conjecture,
( ( iPr_def_26 = e3 )
| ( iPr_def_16 != e2 ) ),
inference(demodulation,[status(thm)],[c_282]) ).
tcf(c_7142,negated_conjecture,
( ( iPr_def_27 = e3 )
| ( iPr_def_16 != e1 ) ),
inference(demodulation,[status(thm)],[c_281]) ).
tcf(c_7145,negated_conjecture,
( ( iPr_def_21 = e0 )
| ( iPr_def_10 != e4 ) ),
inference(demodulation,[status(thm)],[c_271]) ).
tcf(c_7146,negated_conjecture,
( ( iPr_def_20 = e0 )
| ( iPr_def_10 != e3 ) ),
inference(demodulation,[status(thm)],[c_270]) ).
tcf(c_8368,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_7146,c_7145,c_7142,c_7141,c_7140,c_7113,c_7091,c_7090,c_7086,c_7085,c_7084,c_7083,c_7082,c_7062,c_7054,c_7053,c_7048,c_7047,c_7045,c_7044,c_7043,c_7042,c_7041,c_7040,c_7037,c_4101,c_2866,c_2469,c_2458,c_2362,c_2260,c_1757,c_250,c_249,c_248,c_244,c_238,c_237,c_236,c_234,c_228,c_217,c_216,c_215,c_207,c_206,c_193,c_192,c_186,c_174,c_173,c_172,c_168,c_166,c_156,c_144,c_143,c_142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG065+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n001.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri Sep 25 04:46:09 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.43/1.27 % SZS status Started for theBenchmark.p
% 3.43/1.27 % SZS status Theorem for theBenchmark.p
% 3.43/1.27
% 3.43/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.43/1.27
% 3.43/1.27 % ------ iProver source info
% 3.43/1.27
% 3.43/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.43/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.43/1.27 % git: non_committed_changes: false
% 3.43/1.27
% 3.43/1.27 % ------ Parsing...
% 3.43/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.43/1.27
% 3.43/1.27 % ------ Preprocessing... sup_sim: 128 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.43/1.27
% 3.43/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.43/1.27
% 3.43/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.43/1.27 % ------ Proving...
% 3.43/1.27 % ------ Problem Properties
% 3.43/1.27
% 3.43/1.27 %
% 3.43/1.27 % clauses 280
% 3.43/1.27 % conjectures 24
% 3.43/1.27 % EPR 80
% 3.43/1.27 % Horn 192
% 3.43/1.27 % unary 166
% 3.43/1.27 % binary 32
% 3.43/1.27 % lits 539
% 3.43/1.27 % lits eq 487
% 3.43/1.27 % fd_pure 0
% 3.43/1.27 % fd_pseudo 0
% 3.43/1.27 % fd_cond 0
% 3.43/1.27 % fd_pseudo_cond 0
% 3.43/1.27 % AC symbols 0
% 3.43/1.27
% 3.43/1.27 % ------ Schedule dynamic 5 is on
% 3.43/1.27
% 3.43/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.43/1.27
% 3.43/1.27
% 3.43/1.27 % ------
% 3.43/1.27 % Current options:
% 3.43/1.27 % ------
% 3.43/1.27
% 3.43/1.27
% 3.43/1.27 %
% 3.43/1.27
% 3.43/1.27 % ------ Proving...
% 3.43/1.27 %
% 3.43/1.27
% 3.43/1.27 % SZS status Theorem for theBenchmark.p
% 3.43/1.27
% 3.43/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.43/1.28
% 3.43/1.28
%------------------------------------------------------------------------------