TSTP Solution File: ALG063+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG063+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:03:32 EDT 2024
% Result : Theorem 3.19s 1.13s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 29
% Syntax : Number of formulae : 224 ( 57 unt; 0 def)
% Number of atoms : 1261 ( 904 equ)
% Maximal formula atoms : 125 ( 5 avg)
% Number of connectives : 1449 ( 412 ~; 634 |; 403 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 25 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
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,
( 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/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f9,plain,
( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f35,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f36,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f37,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f38,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f39,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f40,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f41,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f42,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f43,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f44,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f45,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f46,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f47,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f48,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f49,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f50,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f51,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f52,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f53,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f54,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f55,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f56,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f57,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f58,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f65,plain,
( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f169,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f245,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f251,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f252,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f253,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f254,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f255,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f257,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f258,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f259,plain,
( e3 = op(e4,e4)
| ~ sP23 ),
inference(cnf_transformation,[],[f35]) ).
fof(f263,plain,
( e4 = op(e2,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f265,plain,
( e1 = op(e4,e4)
| ~ sP21 ),
inference(cnf_transformation,[],[f37]) ).
fof(f268,plain,
( e0 = op(e4,e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f272,plain,
( e3 = op(e4,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f39]) ).
fof(f274,plain,
( e3 = op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f276,plain,
( e3 != op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f277,plain,
( e2 = op(e3,e3)
| ~ sP17 ),
inference(cnf_transformation,[],[f41]) ).
fof(f281,plain,
( e3 = op(e1,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f42]) ).
fof(f283,plain,
( e0 = op(e3,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f284,plain,
( op(e0,e0) = e3
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f286,plain,
( e4 = op(e2,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f290,plain,
( e2 = op(e3,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f45]) ).
fof(f292,plain,
( e2 = op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f294,plain,
( e2 != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f296,plain,
( e2 = op(e1,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f47]) ).
fof(f298,plain,
( e0 = op(e2,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f302,plain,
( e1 = op(e4,e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f304,plain,
( e3 = op(e1,e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f307,plain,
( e2 = op(e1,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f310,plain,
( e1 = op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f52]) ).
fof(f312,plain,
( e1 != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f52]) ).
fof(f313,plain,
( e0 = op(e1,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f53]) ).
fof(f317,plain,
( e0 = op(e4,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f319,plain,
( op(e0,e0) = e3
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f320,plain,
( e0 = op(e3,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f323,plain,
( e0 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f326,plain,
( e0 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f328,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f330,plain,
( e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f331,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]) ).
fof(f332,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(f336,plain,
( e4 = op(e4,e4)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f338,plain,
( e4 != op(e4,e4)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_67,plain,
( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_210,plain,
op(e2,e2) != op(e1,e2),
inference(cnf_transformation,[],[f169]) ).
cnf(c_235,plain,
e4 != e3,
inference(cnf_transformation,[],[f254]) ).
cnf(c_236,plain,
e4 != e2,
inference(cnf_transformation,[],[f253]) ).
cnf(c_237,plain,
e3 != e2,
inference(cnf_transformation,[],[f252]) ).
cnf(c_238,plain,
e4 != e1,
inference(cnf_transformation,[],[f251]) ).
cnf(c_239,plain,
e3 != e1,
inference(cnf_transformation,[],[f250]) ).
cnf(c_240,plain,
e2 != e1,
inference(cnf_transformation,[],[f249]) ).
cnf(c_241,plain,
e4 != e0,
inference(cnf_transformation,[],[f248]) ).
cnf(c_242,plain,
e3 != e0,
inference(cnf_transformation,[],[f247]) ).
cnf(c_243,plain,
e2 != e0,
inference(cnf_transformation,[],[f246]) ).
cnf(c_244,plain,
e1 != e0,
inference(cnf_transformation,[],[f245]) ).
cnf(c_245,plain,
op(e1,e1) = e4,
inference(cnf_transformation,[],[f258]) ).
cnf(c_246,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = e3,
inference(cnf_transformation,[],[f257]) ).
cnf(c_247,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(cnf_transformation,[],[f256]) ).
cnf(c_248,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = e0,
inference(cnf_transformation,[],[f255]) ).
cnf(c_251,plain,
( ~ sP23
| op(e4,e4) = e3 ),
inference(cnf_transformation,[],[f259]) ).
cnf(c_253,plain,
( ~ sP22
| op(e2,e2) = e4 ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_257,plain,
( ~ sP21
| op(e4,e4) = e1 ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_260,plain,
( ~ sP20
| op(e4,e4) = e0 ),
inference(cnf_transformation,[],[f268]) ).
cnf(c_262,plain,
( ~ sP19
| op(e4,e4) = e3 ),
inference(cnf_transformation,[],[f272]) ).
cnf(c_264,plain,
( op(e3,e3) != e3
| ~ sP18 ),
inference(cnf_transformation,[],[f276]) ).
cnf(c_266,plain,
( ~ sP18
| op(e3,e3) = e3 ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_269,plain,
( ~ sP17
| op(e3,e3) = e2 ),
inference(cnf_transformation,[],[f277]) ).
cnf(c_271,plain,
( ~ sP16
| op(e1,e1) = e3 ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_274,plain,
( ~ sP15
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_275,plain,
( ~ sP15
| op(e3,e3) = e0 ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_278,plain,
( ~ sP14
| op(e2,e2) = e4 ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_280,plain,
( ~ sP13
| op(e3,e3) = e2 ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_282,plain,
( op(e2,e2) != e2
| ~ sP12 ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_284,plain,
( ~ sP12
| op(e2,e2) = e2 ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_286,plain,
( ~ sP11
| op(e1,e1) = e2 ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_290,plain,
( ~ sP10
| op(e2,e2) = e0 ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_292,plain,
( ~ sP9
| op(e4,e4) = e1 ),
inference(cnf_transformation,[],[f302]) ).
cnf(c_296,plain,
( ~ sP8
| op(e1,e1) = e3 ),
inference(cnf_transformation,[],[f304]) ).
cnf(c_299,plain,
( ~ sP7
| op(e1,e1) = e2 ),
inference(cnf_transformation,[],[f307]) ).
cnf(c_300,plain,
( op(e1,e1) != e1
| ~ sP6 ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_302,plain,
( ~ sP6
| op(e1,e1) = e1 ),
inference(cnf_transformation,[],[f310]) ).
cnf(c_305,plain,
( ~ sP5
| op(e1,e1) = e0 ),
inference(cnf_transformation,[],[f313]) ).
cnf(c_307,plain,
( ~ sP4
| op(e4,e4) = e0 ),
inference(cnf_transformation,[],[f317]) ).
cnf(c_310,plain,
( ~ sP3
| op(e3,e3) = e0 ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_311,plain,
( ~ sP3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_313,plain,
( ~ sP2
| op(e2,e2) = e0 ),
inference(cnf_transformation,[],[f323]) ).
cnf(c_316,plain,
( ~ sP1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[],[f326]) ).
cnf(c_318,plain,
( op(e0,e0) != e0
| ~ sP0 ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_320,plain,
( ~ sP0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_321,negated_conjecture,
( op(e4,e4) != e4
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f338]) ).
cnf(c_323,negated_conjecture,
( op(e4,e4) = e4
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f336]) ).
cnf(c_327,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,[],[f332]) ).
cnf(c_328,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,[],[f331]) ).
cnf(c_329,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_320,c_320,c_318]) ).
cnf(c_333,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_302,c_302,c_300]) ).
cnf(c_339,plain,
~ sP12,
inference(global_subsumption_just,[status(thm)],[c_284,c_284,c_282]) ).
cnf(c_343,plain,
~ sP18,
inference(global_subsumption_just,[status(thm)],[c_266,c_266,c_264]) ).
cnf(c_359,plain,
( sP1
| sP2
| sP3
| sP4
| sP5
| sP13
| sP14
| sP15
| sP16
| sP17
| sP23
| sP22
| sP21
| sP20
| sP19
| sP11
| sP10
| sP9
| sP8
| sP7 ),
inference(global_subsumption_just,[status(thm)],[c_323,c_323,c_321,c_329,c_333,c_339,c_343]) ).
cnf(c_360,negated_conjecture,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(renaming,[status(thm)],[c_359]) ).
cnf(c_367,plain,
op(e1,e1) = e4,
inference(global_subsumption_just,[status(thm)],[c_67,c_245]) ).
cnf(c_369,plain,
( sP1
| sP2
| sP3
| sP4
| sP5
| sP13
| sP14
| sP15
| sP16
| sP17
| sP23
| sP22
| sP21
| sP20
| sP19
| sP11
| sP10
| sP9
| sP8
| sP7 ),
inference(global_subsumption_just,[status(thm)],[c_321,c_360]) ).
cnf(c_370,negated_conjecture,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(renaming,[status(thm)],[c_369]) ).
cnf(c_1671,plain,
( ~ sP1
| e4 = e0 ),
inference(light_normalisation,[status(thm)],[c_316,c_367]) ).
cnf(c_1672,plain,
~ sP1,
inference(forward_subsumption_resolution,[status(thm)],[c_1671,c_241]) ).
cnf(c_1695,plain,
( ~ sP5
| e4 = e0 ),
inference(light_normalisation,[status(thm)],[c_305,c_367]) ).
cnf(c_1696,plain,
~ sP5,
inference(forward_subsumption_resolution,[status(thm)],[c_1695,c_241]) ).
cnf(c_1697,plain,
( ~ sP7
| e4 = e2 ),
inference(light_normalisation,[status(thm)],[c_299,c_367]) ).
cnf(c_1698,plain,
~ sP7,
inference(forward_subsumption_resolution,[status(thm)],[c_1697,c_236]) ).
cnf(c_1699,plain,
( ~ sP8
| e4 = e3 ),
inference(light_normalisation,[status(thm)],[c_296,c_367]) ).
cnf(c_1700,plain,
~ sP8,
inference(forward_subsumption_resolution,[status(thm)],[c_1699,c_235]) ).
cnf(c_1717,plain,
( ~ sP11
| e4 = e2 ),
inference(light_normalisation,[status(thm)],[c_286,c_367]) ).
cnf(c_1718,plain,
~ sP11,
inference(forward_subsumption_resolution,[status(thm)],[c_1717,c_236]) ).
cnf(c_1747,plain,
( ~ sP16
| e4 = e3 ),
inference(light_normalisation,[status(thm)],[c_271,c_367]) ).
cnf(c_1748,plain,
~ sP16,
inference(forward_subsumption_resolution,[status(thm)],[c_1747,c_235]) ).
cnf(c_1857,plain,
op(e4,e4) = e2,
inference(light_normalisation,[status(thm)],[c_247,c_367]) ).
cnf(c_1866,plain,
( ~ sP23
| e3 = e2 ),
inference(demodulation,[status(thm)],[c_251,c_1857]) ).
cnf(c_1868,plain,
( ~ sP21
| e2 = e1 ),
inference(demodulation,[status(thm)],[c_257,c_1857]) ).
cnf(c_1869,plain,
( ~ sP20
| e2 = e0 ),
inference(demodulation,[status(thm)],[c_260,c_1857]) ).
cnf(c_1870,plain,
( ~ sP19
| e3 = e2 ),
inference(demodulation,[status(thm)],[c_262,c_1857]) ).
cnf(c_1872,plain,
( ~ sP9
| e2 = e1 ),
inference(demodulation,[status(thm)],[c_292,c_1857]) ).
cnf(c_1873,plain,
( ~ sP4
| e2 = e0 ),
inference(demodulation,[status(thm)],[c_307,c_1857]) ).
cnf(c_1874,plain,
~ sP4,
inference(forward_subsumption_resolution,[status(thm)],[c_1873,c_243]) ).
cnf(c_1875,plain,
~ sP9,
inference(forward_subsumption_resolution,[status(thm)],[c_1872,c_240]) ).
cnf(c_1876,plain,
~ sP19,
inference(forward_subsumption_resolution,[status(thm)],[c_1870,c_237]) ).
cnf(c_1877,plain,
~ sP20,
inference(forward_subsumption_resolution,[status(thm)],[c_1869,c_243]) ).
cnf(c_1878,plain,
~ sP21,
inference(forward_subsumption_resolution,[status(thm)],[c_1868,c_240]) ).
cnf(c_1879,plain,
~ sP23,
inference(forward_subsumption_resolution,[status(thm)],[c_1866,c_237]) ).
cnf(c_1880,plain,
op(e1,e2) = e0,
inference(light_normalisation,[status(thm)],[c_248,c_367,c_1857]) ).
cnf(c_1887,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm)],[c_210,c_1880]) ).
cnf(c_1889,plain,
~ sP2,
inference(backward_subsumption_resolution,[status(thm)],[c_313,c_1887]) ).
cnf(c_1890,plain,
~ sP10,
inference(backward_subsumption_resolution,[status(thm)],[c_290,c_1887]) ).
cnf(c_1891,plain,
op(e2,e2) = e3,
inference(light_normalisation,[status(thm)],[c_246,c_367,c_1857]) ).
cnf(c_1900,plain,
( ~ sP22
| e4 = e3 ),
inference(demodulation,[status(thm)],[c_253,c_1891]) ).
cnf(c_1902,plain,
( ~ sP14
| e4 = e3 ),
inference(demodulation,[status(thm)],[c_278,c_1891]) ).
cnf(c_1904,plain,
~ sP14,
inference(forward_subsumption_resolution,[status(thm)],[c_1902,c_235]) ).
cnf(c_1905,plain,
~ sP22,
inference(forward_subsumption_resolution,[status(thm)],[c_1900,c_235]) ).
cnf(c_1906,plain,
( sP17
| sP15
| sP13
| sP3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_370,c_1672,c_1889,c_1874,c_1696,c_1698,c_1700,c_1875,c_1890,c_1718,c_1904,c_1748,c_1876,c_1877,c_1878,c_1905,c_1879]) ).
cnf(c_1925,plain,
( op(e3,e3) = e0
| op(e0,e0) = e0
| e4 = e0
| e3 = e0
| e2 = e0 ),
inference(light_normalisation,[status(thm)],[c_328,c_367,c_1857,c_1891]) ).
cnf(c_1926,plain,
( op(e3,e3) = e0
| op(e0,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1925,c_243,c_242,c_241]) ).
cnf(c_1931,plain,
( op(e3,e3) = e1
| op(e0,e0) = e1
| e4 = e1
| e3 = e1
| e2 = e1 ),
inference(light_normalisation,[status(thm)],[c_327,c_367,c_1857,c_1891]) ).
cnf(c_1932,plain,
( op(e3,e3) = e1
| op(e0,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1931,c_240,c_239,c_238]) ).
cnf(c_2479,plain,
( op(e3,e3) = e2
| sP15
| sP13
| sP3 ),
inference(resolution,[status(thm)],[c_1906,c_269]) ).
cnf(c_2480,plain,
( sP15
| op(e3,e3) = e2
| sP3 ),
inference(global_subsumption_just,[status(thm)],[c_2479,c_280,c_2479]) ).
cnf(c_2481,plain,
( op(e3,e3) = e2
| sP15
| sP3 ),
inference(renaming,[status(thm)],[c_2480]) ).
cnf(c_2494,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| sP3 ),
inference(resolution,[status(thm)],[c_2481,c_275]) ).
cnf(c_2495,plain,
( op(e3,e3) = e0
| op(e3,e3) = e2 ),
inference(global_subsumption_just,[status(thm)],[c_2494,c_310,c_275,c_2481]) ).
cnf(c_2496,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0 ),
inference(renaming,[status(thm)],[c_2495]) ).
cnf(c_2503,plain,
( op(e3,e3) = e2
| op(e0,e0) = e3
| sP3 ),
inference(resolution,[status(thm)],[c_2481,c_274]) ).
cnf(c_2529,plain,
( op(e3,e3) = e2
| op(e0,e0) = e3
| sP15 ),
inference(resolution,[status(thm)],[c_2481,c_311]) ).
cnf(c_2530,plain,
( op(e0,e0) = e3
| op(e3,e3) = e2 ),
inference(global_subsumption_just,[status(thm)],[c_2529,c_311,c_2503]) ).
cnf(c_2531,plain,
( op(e3,e3) = e2
| op(e0,e0) = e3 ),
inference(renaming,[status(thm)],[c_2530]) ).
cnf(c_4535,plain,
( op(e3,e3) = e1
| op(e3,e3) = e0
| e1 = e0 ),
inference(superposition,[status(thm)],[c_1926,c_1932]) ).
cnf(c_4550,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| e3 = e1 ),
inference(superposition,[status(thm)],[c_2531,c_1932]) ).
cnf(c_4555,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1 ),
inference(global_subsumption_just,[status(thm)],[c_4535,c_244,c_4535]) ).
cnf(c_4556,plain,
( op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(renaming,[status(thm)],[c_4555]) ).
cnf(c_4561,plain,
( op(e3,e3) = e1
| op(e3,e3) = e2 ),
inference(global_subsumption_just,[status(thm)],[c_4550,c_239,c_4550]) ).
cnf(c_4562,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1 ),
inference(renaming,[status(thm)],[c_4561]) ).
cnf(c_4569,plain,
( op(e3,e3) = e1
| e2 = e0 ),
inference(superposition,[status(thm)],[c_4562,c_4556]) ).
cnf(c_4573,plain,
op(e3,e3) = e1,
inference(global_subsumption_just,[status(thm)],[c_4569,c_243,c_4569]) ).
cnf(c_4577,plain,
( e2 = e1
| e1 = e0 ),
inference(demodulation,[status(thm)],[c_2496,c_4573]) ).
cnf(c_4585,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4577,c_240,c_244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG063+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 22:39:40 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.19/1.13 % SZS status Started for theBenchmark.p
% 3.19/1.13 % SZS status Theorem for theBenchmark.p
% 3.19/1.13
% 3.19/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.19/1.13
% 3.19/1.13 ------ iProver source info
% 3.19/1.13
% 3.19/1.13 git: date: 2024-05-02 19:28:25 +0000
% 3.19/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.19/1.13 git: non_committed_changes: false
% 3.19/1.13
% 3.19/1.13 ------ Parsing...
% 3.19/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.19/1.13
% 3.19/1.13 ------ Preprocessing... sup_sim: 154 sf_s rm: 20 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.19/1.13
% 3.19/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.19/1.13
% 3.19/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.19/1.13 ------ Proving...
% 3.19/1.13 ------ Problem Properties
% 3.19/1.13
% 3.19/1.13
% 3.19/1.13 clauses 190
% 3.19/1.13 conjectures 0
% 3.19/1.13 EPR 11
% 3.19/1.13 Horn 123
% 3.19/1.13 unary 122
% 3.19/1.13 binary 8
% 3.19/1.13 lits 364
% 3.19/1.13 lits eq 364
% 3.19/1.13 fd_pure 0
% 3.19/1.13 fd_pseudo 0
% 3.19/1.13 fd_cond 0
% 3.19/1.13 fd_pseudo_cond 0
% 3.19/1.13 AC symbols 0
% 3.19/1.13
% 3.19/1.13 ------ Schedule dynamic 5 is on
% 3.19/1.13
% 3.19/1.13 ------ no conjectures: strip conj schedule
% 3.19/1.13
% 3.19/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.19/1.13
% 3.19/1.13
% 3.19/1.13 ------
% 3.19/1.13 Current options:
% 3.19/1.13 ------
% 3.19/1.13
% 3.19/1.13
% 3.19/1.13
% 3.19/1.13
% 3.19/1.13 ------ Proving...
% 3.19/1.13
% 3.19/1.13
% 3.19/1.13 % SZS status Theorem for theBenchmark.p
% 3.19/1.13
% 3.19/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.19/1.13
% 3.19/1.13
%------------------------------------------------------------------------------