TSTP Solution File: ALG025+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : ALG025+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n023.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 : 600s
% DateTime : Thu Jul 14 16:51:13 EDT 2022
% Result : Theorem 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 39 ( 33 unt; 0 def)
% Number of atoms : 318 ( 311 equ)
% Maximal formula atoms : 72 ( 8 avg)
% Number of connectives : 363 ( 84 ~; 91 |; 188 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 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/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax3,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& op(unit,e5) = e5
& op(e5,unit) = e5
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4
| unit = e5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax5,axiom,
unit = e0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
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)],[c_0_3]) ).
cnf(c_0_5,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_6,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_7,plain,
unit = e0,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_8,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_9,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_10,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_11,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_12,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_13,plain,
op(e4,unit) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_14,plain,
op(unit,e4) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_15,plain,
op(e5,unit) = e5,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_16,plain,
op(unit,e5) = e5,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_17,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_5]) ).
cnf(c_0_18,plain,
op(e1,e0) = e1,
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_19,plain,
op(e0,e1) = e1,
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_20,plain,
op(e2,e0) = e2,
inference(rw,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_21,plain,
op(e0,e2) = e2,
inference(rw,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_22,negated_conjecture,
op(e2,e1) = op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,plain,
op(e3,e0) = e3,
inference(rw,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_24,plain,
op(e0,e3) = e3,
inference(rw,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_25,negated_conjecture,
op(e3,e1) = op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
op(e3,e2) = op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,plain,
op(e4,e0) = e4,
inference(rw,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_28,plain,
op(e0,e4) = e4,
inference(rw,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_29,negated_conjecture,
op(e4,e1) = op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,negated_conjecture,
op(e4,e2) = op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,negated_conjecture,
op(e4,e3) = op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_32,plain,
op(e5,e0) = e5,
inference(rw,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_33,plain,
op(e0,e5) = e5,
inference(rw,[status(thm)],[c_0_16,c_0_7]) ).
cnf(c_0_34,negated_conjecture,
op(e5,e1) = op(e1,e5),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_35,negated_conjecture,
op(e5,e2) = op(e2,e5),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_36,negated_conjecture,
op(e5,e3) = op(e3,e5),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_37,negated_conjecture,
op(e5,e4) = op(e4,e5),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_38,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)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG025+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 00:30:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.39 # No SInE strategy applied
% 0.20/0.39 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.39 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.20/0.39 #
% 0.20/0.39 # Presaturation interreduction done
% 0.20/0.39
% 0.20/0.39 # Proof found!
% 0.20/0.39 # SZS status Theorem
% 0.20/0.39 # SZS output start CNFRefutation
% See solution above
% 0.20/0.39 # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------