TSTP Solution File: ALG028+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ALG028+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 : Mon May 20 18:06:47 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 27 unt; 0 def)
% Number of atoms : 515 ( 508 equ)
% Maximal formula atoms : 216 ( 15 avg)
% Number of connectives : 567 ( 86 ~; 84 |; 397 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 216 ( 15 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5)
& ~ ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax11,axiom,
( e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4))
& e1 = op(op(e4,e4),e4)
& e2 = op(op(op(e4,e4),e4),e4)
& e3 = op(e4,e4)
& e5 = op(op(op(op(e4,e4),e4),e4),e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(ax2,axiom,
( op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e0),e4) = op(e0,op(e0,e4))
& op(op(e0,e0),e5) = op(e0,op(e0,e5))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e1),e4) = op(e0,op(e1,e4))
& op(op(e0,e1),e5) = op(e0,op(e1,e5))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e4) = op(e0,op(e2,e4))
& op(op(e0,e2),e5) = op(e0,op(e2,e5))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e3),e4) = op(e0,op(e3,e4))
& op(op(e0,e3),e5) = op(e0,op(e3,e5))
& op(op(e0,e4),e0) = op(e0,op(e4,e0))
& op(op(e0,e4),e1) = op(e0,op(e4,e1))
& op(op(e0,e4),e2) = op(e0,op(e4,e2))
& op(op(e0,e4),e3) = op(e0,op(e4,e3))
& op(op(e0,e4),e4) = op(e0,op(e4,e4))
& op(op(e0,e4),e5) = op(e0,op(e4,e5))
& op(op(e0,e5),e0) = op(e0,op(e5,e0))
& op(op(e0,e5),e1) = op(e0,op(e5,e1))
& op(op(e0,e5),e2) = op(e0,op(e5,e2))
& op(op(e0,e5),e3) = op(e0,op(e5,e3))
& op(op(e0,e5),e4) = op(e0,op(e5,e4))
& op(op(e0,e5),e5) = op(e0,op(e5,e5))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e0),e4) = op(e1,op(e0,e4))
& op(op(e1,e0),e5) = op(e1,op(e0,e5))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e4) = op(e1,op(e1,e4))
& op(op(e1,e1),e5) = op(e1,op(e1,e5))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e2),e4) = op(e1,op(e2,e4))
& op(op(e1,e2),e5) = op(e1,op(e2,e5))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e1,e3),e4) = op(e1,op(e3,e4))
& op(op(e1,e3),e5) = op(e1,op(e3,e5))
& op(op(e1,e4),e0) = op(e1,op(e4,e0))
& op(op(e1,e4),e1) = op(e1,op(e4,e1))
& op(op(e1,e4),e2) = op(e1,op(e4,e2))
& op(op(e1,e4),e3) = op(e1,op(e4,e3))
& op(op(e1,e4),e4) = op(e1,op(e4,e4))
& op(op(e1,e4),e5) = op(e1,op(e4,e5))
& op(op(e1,e5),e0) = op(e1,op(e5,e0))
& op(op(e1,e5),e1) = op(e1,op(e5,e1))
& op(op(e1,e5),e2) = op(e1,op(e5,e2))
& op(op(e1,e5),e3) = op(e1,op(e5,e3))
& op(op(e1,e5),e4) = op(e1,op(e5,e4))
& op(op(e1,e5),e5) = op(e1,op(e5,e5))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e0),e4) = op(e2,op(e0,e4))
& op(op(e2,e0),e5) = op(e2,op(e0,e5))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e1),e4) = op(e2,op(e1,e4))
& op(op(e2,e1),e5) = op(e2,op(e1,e5))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e2),e4) = op(e2,op(e2,e4))
& op(op(e2,e2),e5) = op(e2,op(e2,e5))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e4) = op(e2,op(e3,e4))
& op(op(e2,e3),e5) = op(e2,op(e3,e5))
& op(op(e2,e4),e0) = op(e2,op(e4,e0))
& op(op(e2,e4),e1) = op(e2,op(e4,e1))
& op(op(e2,e4),e2) = op(e2,op(e4,e2))
& op(op(e2,e4),e3) = op(e2,op(e4,e3))
& op(op(e2,e4),e4) = op(e2,op(e4,e4))
& op(op(e2,e4),e5) = op(e2,op(e4,e5))
& op(op(e2,e5),e0) = op(e2,op(e5,e0))
& op(op(e2,e5),e1) = op(e2,op(e5,e1))
& op(op(e2,e5),e2) = op(e2,op(e5,e2))
& op(op(e2,e5),e3) = op(e2,op(e5,e3))
& op(op(e2,e5),e4) = op(e2,op(e5,e4))
& op(op(e2,e5),e5) = op(e2,op(e5,e5))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e0),e4) = op(e3,op(e0,e4))
& op(op(e3,e0),e5) = op(e3,op(e0,e5))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e1),e4) = op(e3,op(e1,e4))
& op(op(e3,e1),e5) = op(e3,op(e1,e5))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e2),e4) = op(e3,op(e2,e4))
& op(op(e3,e2),e5) = op(e3,op(e2,e5))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e3,e3),e4) = op(e3,op(e3,e4))
& op(op(e3,e3),e5) = op(e3,op(e3,e5))
& op(op(e3,e4),e0) = op(e3,op(e4,e0))
& op(op(e3,e4),e1) = op(e3,op(e4,e1))
& op(op(e3,e4),e2) = op(e3,op(e4,e2))
& op(op(e3,e4),e3) = op(e3,op(e4,e3))
& op(op(e3,e4),e4) = op(e3,op(e4,e4))
& op(op(e3,e4),e5) = op(e3,op(e4,e5))
& op(op(e3,e5),e0) = op(e3,op(e5,e0))
& op(op(e3,e5),e1) = op(e3,op(e5,e1))
& op(op(e3,e5),e2) = op(e3,op(e5,e2))
& op(op(e3,e5),e3) = op(e3,op(e5,e3))
& op(op(e3,e5),e4) = op(e3,op(e5,e4))
& op(op(e3,e5),e5) = op(e3,op(e5,e5))
& op(op(e4,e0),e0) = op(e4,op(e0,e0))
& op(op(e4,e0),e1) = op(e4,op(e0,e1))
& op(op(e4,e0),e2) = op(e4,op(e0,e2))
& op(op(e4,e0),e3) = op(e4,op(e0,e3))
& op(op(e4,e0),e4) = op(e4,op(e0,e4))
& op(op(e4,e0),e5) = op(e4,op(e0,e5))
& op(op(e4,e1),e0) = op(e4,op(e1,e0))
& op(op(e4,e1),e1) = op(e4,op(e1,e1))
& op(op(e4,e1),e2) = op(e4,op(e1,e2))
& op(op(e4,e1),e3) = op(e4,op(e1,e3))
& op(op(e4,e1),e4) = op(e4,op(e1,e4))
& op(op(e4,e1),e5) = op(e4,op(e1,e5))
& op(op(e4,e2),e0) = op(e4,op(e2,e0))
& op(op(e4,e2),e1) = op(e4,op(e2,e1))
& op(op(e4,e2),e2) = op(e4,op(e2,e2))
& op(op(e4,e2),e3) = op(e4,op(e2,e3))
& op(op(e4,e2),e4) = op(e4,op(e2,e4))
& op(op(e4,e2),e5) = op(e4,op(e2,e5))
& op(op(e4,e3),e0) = op(e4,op(e3,e0))
& op(op(e4,e3),e1) = op(e4,op(e3,e1))
& op(op(e4,e3),e2) = op(e4,op(e3,e2))
& op(op(e4,e3),e3) = op(e4,op(e3,e3))
& op(op(e4,e3),e4) = op(e4,op(e3,e4))
& op(op(e4,e3),e5) = op(e4,op(e3,e5))
& op(op(e4,e4),e0) = op(e4,op(e4,e0))
& op(op(e4,e4),e1) = op(e4,op(e4,e1))
& op(op(e4,e4),e2) = op(e4,op(e4,e2))
& op(op(e4,e4),e3) = op(e4,op(e4,e3))
& op(op(e4,e4),e4) = op(e4,op(e4,e4))
& op(op(e4,e4),e5) = op(e4,op(e4,e5))
& op(op(e4,e5),e0) = op(e4,op(e5,e0))
& op(op(e4,e5),e1) = op(e4,op(e5,e1))
& op(op(e4,e5),e2) = op(e4,op(e5,e2))
& op(op(e4,e5),e3) = op(e4,op(e5,e3))
& op(op(e4,e5),e4) = op(e4,op(e5,e4))
& op(op(e4,e5),e5) = op(e4,op(e5,e5))
& op(op(e5,e0),e0) = op(e5,op(e0,e0))
& op(op(e5,e0),e1) = op(e5,op(e0,e1))
& op(op(e5,e0),e2) = op(e5,op(e0,e2))
& op(op(e5,e0),e3) = op(e5,op(e0,e3))
& op(op(e5,e0),e4) = op(e5,op(e0,e4))
& op(op(e5,e0),e5) = op(e5,op(e0,e5))
& op(op(e5,e1),e0) = op(e5,op(e1,e0))
& op(op(e5,e1),e1) = op(e5,op(e1,e1))
& op(op(e5,e1),e2) = op(e5,op(e1,e2))
& op(op(e5,e1),e3) = op(e5,op(e1,e3))
& op(op(e5,e1),e4) = op(e5,op(e1,e4))
& op(op(e5,e1),e5) = op(e5,op(e1,e5))
& op(op(e5,e2),e0) = op(e5,op(e2,e0))
& op(op(e5,e2),e1) = op(e5,op(e2,e1))
& op(op(e5,e2),e2) = op(e5,op(e2,e2))
& op(op(e5,e2),e3) = op(e5,op(e2,e3))
& op(op(e5,e2),e4) = op(e5,op(e2,e4))
& op(op(e5,e2),e5) = op(e5,op(e2,e5))
& op(op(e5,e3),e0) = op(e5,op(e3,e0))
& op(op(e5,e3),e1) = op(e5,op(e3,e1))
& op(op(e5,e3),e2) = op(e5,op(e3,e2))
& op(op(e5,e3),e3) = op(e5,op(e3,e3))
& op(op(e5,e3),e4) = op(e5,op(e3,e4))
& op(op(e5,e3),e5) = op(e5,op(e3,e5))
& op(op(e5,e4),e0) = op(e5,op(e4,e0))
& op(op(e5,e4),e1) = op(e5,op(e4,e1))
& op(op(e5,e4),e2) = op(e5,op(e4,e2))
& op(op(e5,e4),e3) = op(e5,op(e4,e3))
& op(op(e5,e4),e4) = op(e5,op(e4,e4))
& op(op(e5,e4),e5) = op(e5,op(e4,e5))
& op(op(e5,e5),e0) = op(e5,op(e5,e0))
& op(op(e5,e5),e1) = op(e5,op(e5,e1))
& op(op(e5,e5),e2) = op(e5,op(e5,e2))
& op(op(e5,e5),e3) = op(e5,op(e5,e3))
& op(op(e5,e5),e4) = op(e5,op(e5,e4))
& op(op(e5,e5),e5) = op(e5,op(e5,e5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(c_0_3,negated_conjecture,
~ ~ ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5)
& ~ ( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_4,negated_conjecture,
( op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e5) = op(e5,e0)
& op(e1,e0) = op(e0,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e5) = op(e5,e1)
& op(e2,e0) = op(e0,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e3,e0) = op(e0,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e4,e0) = op(e0,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e5) = op(e5,e4)
& op(e5,e0) = op(e0,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e5) = op(e5,e5)
& ( op(e0,e0) != op(e0,e0)
| op(e0,e1) != op(e1,e0)
| op(e0,e2) != op(e2,e0)
| op(e0,e3) != op(e3,e0)
| op(e0,e4) != op(e4,e0)
| op(e0,e5) != op(e5,e0)
| op(e1,e0) != op(e0,e1)
| op(e1,e1) != op(e1,e1)
| op(e1,e2) != op(e2,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e4) != op(e4,e1)
| op(e1,e5) != op(e5,e1)
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2)
| op(e2,e2) != op(e2,e2)
| op(e2,e3) != op(e3,e2)
| op(e2,e4) != op(e4,e2)
| op(e2,e5) != op(e5,e2)
| op(e3,e0) != op(e0,e3)
| op(e3,e1) != op(e1,e3)
| op(e3,e2) != op(e2,e3)
| op(e3,e3) != op(e3,e3)
| op(e3,e4) != op(e4,e3)
| op(e3,e5) != op(e5,e3)
| op(e4,e0) != op(e0,e4)
| op(e4,e1) != op(e1,e4)
| op(e4,e2) != op(e2,e4)
| op(e4,e3) != op(e3,e4)
| op(e4,e4) != op(e4,e4)
| op(e4,e5) != op(e5,e4)
| op(e5,e0) != op(e0,e5)
| op(e5,e1) != op(e1,e5)
| op(e5,e2) != op(e2,e5)
| op(e5,e3) != op(e3,e5)
| op(e5,e4) != op(e4,e5)
| op(e5,e5) != op(e5,e5) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
cnf(c_0_5,plain,
e1 = op(op(e4,e4),e4),
inference(split_conjunct,[status(thm)],[ax11]) ).
cnf(c_0_6,plain,
e3 = op(e4,e4),
inference(split_conjunct,[status(thm)],[ax11]) ).
cnf(c_0_7,negated_conjecture,
op(e4,e3) = op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
e2 = op(op(op(e4,e4),e4),e4),
inference(split_conjunct,[status(thm)],[ax11]) ).
cnf(c_0_9,plain,
op(e4,e3) = e1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_10,negated_conjecture,
op(e4,e1) = op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( $false
| op(e0,e1) != op(e1,e0)
| op(e0,e2) != op(e2,e0)
| op(e0,e3) != op(e3,e0)
| op(e0,e4) != op(e4,e0)
| op(e0,e5) != op(e5,e0)
| op(e1,e0) != op(e0,e1)
| $false
| op(e1,e2) != op(e2,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e4) != op(e4,e1)
| op(e1,e5) != op(e5,e1)
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2)
| $false
| op(e2,e3) != op(e3,e2)
| op(e2,e4) != op(e4,e2)
| op(e2,e5) != op(e5,e2)
| op(e3,e0) != op(e0,e3)
| op(e3,e1) != op(e1,e3)
| op(e3,e2) != op(e2,e3)
| $false
| op(e3,e4) != op(e4,e3)
| op(e3,e5) != op(e5,e3)
| op(e4,e0) != op(e0,e4)
| op(e4,e1) != op(e1,e4)
| op(e4,e2) != op(e2,e4)
| op(e4,e3) != op(e3,e4)
| $false
| op(e4,e5) != op(e5,e4)
| op(e5,e0) != op(e0,e5)
| op(e5,e1) != op(e1,e5)
| op(e5,e2) != op(e2,e5)
| op(e5,e3) != op(e3,e5)
| op(e5,e4) != op(e4,e5)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
op(op(e1,e4),e4) = op(e1,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_13,plain,
op(e4,e1) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_6]),c_0_7]),c_0_9]),c_0_10]) ).
cnf(c_0_14,negated_conjecture,
op(e4,e2) = op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
op(e3,e1) = op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
e5 = op(op(op(op(e4,e4),e4),e4),e4),
inference(split_conjunct,[status(thm)],[ax11]) ).
cnf(c_0_17,plain,
e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax11]) ).
cnf(c_0_18,negated_conjecture,
op(e3,e2) = op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2)
| op(e3,e0) != op(e0,e3)
| op(e3,e1) != op(e1,e3)
| op(e3,e2) != op(e2,e3)
| op(e4,e0) != op(e0,e4)
| op(e4,e1) != op(e1,e4)
| op(e4,e2) != op(e2,e4)
| op(e4,e3) != op(e3,e4)
| op(e5,e0) != op(e0,e5)
| op(e5,e1) != op(e1,e5)
| op(e5,e2) != op(e2,e5)
| op(e5,e3) != op(e3,e5)
| op(e5,e4) != op(e4,e5) ),
inference(cn,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
op(e1,e0) = op(e0,e1),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,negated_conjecture,
op(e2,e0) = op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,negated_conjecture,
op(e2,e1) = op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,negated_conjecture,
op(e3,e0) = op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,plain,
op(e3,e1) = op(e4,e2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10]),c_0_13]),c_0_14]),c_0_6]),c_0_15]) ).
cnf(c_0_25,plain,
op(e4,e2) = e5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_6]),c_0_7]),c_0_9]),c_0_10]),c_0_13]),c_0_14]) ).
cnf(c_0_26,plain,
op(e3,e2) = e0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_6]),c_0_7]),c_0_9]),c_0_10]),c_0_13]),c_0_6]),c_0_18]) ).
cnf(c_0_27,negated_conjecture,
op(e4,e0) = op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_28,negated_conjecture,
op(e5,e0) = op(e0,e5),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,negated_conjecture,
op(e5,e1) = op(e1,e5),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,negated_conjecture,
op(e5,e2) = op(e2,e5),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,negated_conjecture,
op(e5,e3) = op(e3,e5),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_32,negated_conjecture,
op(e5,e4) = op(e4,e5),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_15]),c_0_24]),c_0_25]),c_0_24]),c_0_25]),c_0_18]),c_0_26]),c_0_26]),c_0_27]),c_0_10]),c_0_13]),c_0_13]),c_0_14]),c_0_25]),c_0_25]),c_0_7]),c_0_9]),c_0_9]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : ALG028+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n017.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sat May 18 22:57:22 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.14/0.38 Running first-order model finding
% 0.14/0.38 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 # Version: 3.1.0
% 0.14/0.41 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41 # Starting sh5l with 300s (1) cores
% 0.14/0.41 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 8092 completed with status 0
% 0.14/0.41 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/0.41 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.41 # No SInE strategy applied
% 0.14/0.41 # Search class: FGHPF-FSLM21-MFFFFFNN
% 0.14/0.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.14/0.41 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.41 # Starting new_bool_3 with 136s (1) cores
% 0.14/0.41 # Starting new_bool_1 with 136s (1) cores
% 0.14/0.41 # Starting sh5l with 136s (1) cores
% 0.14/0.41 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 8099 completed with status 0
% 0.14/0.41 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/0.41 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.41 # No SInE strategy applied
% 0.14/0.41 # Search class: FGHPF-FSLM21-MFFFFFNN
% 0.14/0.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.14/0.41 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.41 # Preprocessing time : 0.004 s
% 0.14/0.41 # Presaturation interreduction done
% 0.14/0.41
% 0.14/0.41 # Proof found!
% 0.14/0.41 # SZS status Theorem
% 0.14/0.41 # SZS output start CNFRefutation
% See solution above
% 0.14/0.41 # Parsed axioms : 12
% 0.14/0.41 # Removed by relevancy pruning/SinE : 0
% 0.14/0.41 # Initial clauses : 572
% 0.14/0.41 # Removed in clause preprocessing : 6
% 0.14/0.41 # Initial clauses in saturation : 566
% 0.14/0.41 # Processed clauses : 566
% 0.14/0.41 # ...of these trivial : 60
% 0.14/0.41 # ...subsumed : 49
% 0.14/0.41 # ...remaining for further processing : 456
% 0.14/0.41 # Other redundant clauses eliminated : 0
% 0.14/0.41 # Clauses deleted for lack of memory : 0
% 0.14/0.41 # Backward-subsumed : 0
% 0.14/0.41 # Backward-rewritten : 188
% 0.14/0.41 # Generated clauses : 0
% 0.14/0.41 # ...of the previous two non-redundant : 183
% 0.14/0.41 # ...aggressively subsumed : 0
% 0.14/0.41 # Contextual simplify-reflections : 0
% 0.14/0.41 # Paramodulations : 0
% 0.14/0.41 # Factorizations : 0
% 0.14/0.41 # NegExts : 0
% 0.14/0.41 # Equation resolutions : 0
% 0.14/0.41 # Disequality decompositions : 0
% 0.14/0.41 # Total rewrite steps : 966
% 0.14/0.41 # ...of those cached : 822
% 0.14/0.41 # Propositional unsat checks : 0
% 0.14/0.41 # Propositional check models : 0
% 0.14/0.41 # Propositional check unsatisfiable : 0
% 0.14/0.41 # Propositional clauses : 0
% 0.14/0.41 # Propositional clauses after purity: 0
% 0.14/0.41 # Propositional unsat core size : 0
% 0.14/0.41 # Propositional preprocessing time : 0.000
% 0.14/0.41 # Propositional encoding time : 0.000
% 0.14/0.41 # Propositional solver time : 0.000
% 0.14/0.41 # Success case prop preproc time : 0.000
% 0.14/0.41 # Success case prop encoding time : 0.000
% 0.14/0.41 # Success case prop solver time : 0.000
% 0.14/0.41 # Current number of processed clauses : 268
% 0.14/0.41 # Positive orientable unit clauses : 144
% 0.14/0.41 # Positive unorientable unit clauses: 0
% 0.14/0.41 # Negative unit clauses : 74
% 0.14/0.41 # Non-unit-clauses : 50
% 0.14/0.41 # Current number of unprocessed clauses: 183
% 0.14/0.41 # ...number of literals in the above : 183
% 0.14/0.41 # Current number of archived formulas : 0
% 0.14/0.41 # Current number of archived clauses : 188
% 0.14/0.41 # Clause-clause subsumption calls (NU) : 63
% 0.14/0.41 # Rec. Clause-clause subsumption calls : 40
% 0.14/0.41 # Non-unit clause-clause subsumptions : 10
% 0.14/0.41 # Unit Clause-clause subsumption calls : 45
% 0.14/0.41 # Rewrite failures with RHS unbound : 0
% 0.14/0.41 # BW rewrite match attempts : 38
% 0.14/0.41 # BW rewrite match successes : 38
% 0.14/0.41 # Condensation attempts : 0
% 0.14/0.41 # Condensation successes : 0
% 0.14/0.41 # Termbank termtop insertions : 27658
% 0.14/0.41 # Search garbage collected termcells : 1490
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.019 s
% 0.14/0.41 # System time : 0.003 s
% 0.14/0.41 # Total time : 0.023 s
% 0.14/0.41 # Maximum resident set size: 2448 pages
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.076 s
% 0.14/0.41 # System time : 0.010 s
% 0.14/0.41 # Total time : 0.086 s
% 0.14/0.41 # Maximum resident set size: 1940 pages
% 0.14/0.41 % E---3.1 exiting
%------------------------------------------------------------------------------