TSTP Solution File: ALG065+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG065+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %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 : 300s
% DateTime : Tue Aug 22 10:31:03 EDT 2023
% Result : Theorem 13.73s 4.57s
% Output : CNFRefutation 14.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 269 ( 200 unt; 7 typ; 0 def)
% Number of atoms : 986 ( 950 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 964 ( 240 ~; 477 |; 247 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% 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 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op > #nlpp > unit > e4 > e3 > e2 > e1 > e0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e1,type,
e1: $i ).
tff(e0,type,
e0: $i ).
tff(e2,type,
e2: $i ).
tff(op,type,
op: ( $i * $i ) > $i ).
tff(unit,type,
unit: $i ).
tff(e4,type,
e4: $i ).
tff(e3,type,
e3: $i ).
tff(f_1130,axiom,
( ( e0 != e1 )
& ( e0 != e2 )
& ( e0 != e3 )
& ( e0 != e4 )
& ( e1 != e2 )
& ( e1 != e3 )
& ( e1 != e4 )
& ( e2 != e3 )
& ( e2 != e4 )
& ( e3 != e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f_1135,axiom,
( ( e0 = op(op(e4,e2),op(e4,e2)) )
& ( e1 = op(e4,e2) )
& ( e3 = op(e2,e4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(f_1386,negated_conjecture,
~ ~ ( ( ( op(e0,e0) != e0 )
| ( op(e0,e0) = e0 ) )
& ( ( op(e0,e0) != e1 )
| ( op(e0,e1) = e0 ) )
& ( ( op(e0,e0) != e2 )
| ( op(e0,e2) = e0 ) )
& ( ( op(e0,e0) != e3 )
| ( op(e0,e3) = e0 ) )
& ( ( op(e0,e0) != e4 )
| ( op(e0,e4) = e0 ) )
& ( ( op(e1,e1) != e0 )
| ( op(e1,e0) = e1 ) )
& ( ( op(e1,e1) != e1 )
| ( op(e1,e1) = e1 ) )
& ( ( op(e1,e1) != e2 )
| ( op(e1,e2) = e1 ) )
& ( ( op(e1,e1) != e3 )
| ( op(e1,e3) = e1 ) )
& ( ( op(e1,e1) != e4 )
| ( op(e1,e4) = e1 ) )
& ( ( op(e2,e2) != e0 )
| ( op(e2,e0) = e2 ) )
& ( ( op(e2,e2) != e1 )
| ( op(e2,e1) = e2 ) )
& ( ( op(e2,e2) != e2 )
| ( op(e2,e2) = e2 ) )
& ( ( op(e2,e2) != e3 )
| ( op(e2,e3) = e2 ) )
& ( ( op(e2,e2) != e4 )
| ( op(e2,e4) = e2 ) )
& ( ( op(e3,e3) != e0 )
| ( op(e3,e0) = e3 ) )
& ( ( op(e3,e3) != e1 )
| ( op(e3,e1) = e3 ) )
& ( ( op(e3,e3) != e2 )
| ( op(e3,e2) = e3 ) )
& ( ( op(e3,e3) != e3 )
| ( op(e3,e3) = e3 ) )
& ( ( op(e3,e3) != e4 )
| ( op(e3,e4) = e3 ) )
& ( ( op(e4,e4) != e0 )
| ( op(e4,e0) = e4 ) )
& ( ( op(e4,e4) != e1 )
| ( op(e4,e1) = e4 ) )
& ( ( op(e4,e4) != e2 )
| ( op(e4,e2) = e4 ) )
& ( ( op(e4,e4) != e3 )
| ( op(e4,e3) = e4 ) )
& ( ( op(e4,e4) != e4 )
| ( op(e4,e4) = e4 ) )
& ( ( ( op(e0,op(e0,e0)) != e0 )
& ( op(e0,op(e0,e0)) = e0 ) )
| ( ( op(e1,op(e1,e0)) != e0 )
& ( op(e0,op(e1,e0)) = e1 ) )
| ( ( op(e2,op(e2,e0)) != e0 )
& ( op(e0,op(e2,e0)) = e2 ) )
| ( ( op(e3,op(e3,e0)) != e0 )
& ( op(e0,op(e3,e0)) = e3 ) )
| ( ( op(e4,op(e4,e0)) != e0 )
& ( op(e0,op(e4,e0)) = e4 ) ) )
& ( ( ( op(e0,op(e0,e1)) != e1 )
& ( op(e1,op(e0,e1)) = e0 ) )
| ( ( op(e1,op(e1,e1)) != e1 )
& ( op(e1,op(e1,e1)) = e1 ) )
| ( ( op(e2,op(e2,e1)) != e1 )
& ( op(e1,op(e2,e1)) = e2 ) )
| ( ( op(e3,op(e3,e1)) != e1 )
& ( op(e1,op(e3,e1)) = e3 ) )
| ( ( op(e4,op(e4,e1)) != e1 )
& ( op(e1,op(e4,e1)) = e4 ) ) )
& ( ( ( op(e0,op(e0,e2)) != e2 )
& ( op(e2,op(e0,e2)) = e0 ) )
| ( ( op(e1,op(e1,e2)) != e2 )
& ( op(e2,op(e1,e2)) = e1 ) )
| ( ( op(e2,op(e2,e2)) != e2 )
& ( op(e2,op(e2,e2)) = e2 ) )
| ( ( op(e3,op(e3,e2)) != e2 )
& ( op(e2,op(e3,e2)) = e3 ) )
| ( ( op(e4,op(e4,e2)) != e2 )
& ( op(e2,op(e4,e2)) = e4 ) ) )
& ( ( ( op(e0,op(e0,e3)) != e3 )
& ( op(e3,op(e0,e3)) = e0 ) )
| ( ( op(e1,op(e1,e3)) != e3 )
& ( op(e3,op(e1,e3)) = e1 ) )
| ( ( op(e2,op(e2,e3)) != e3 )
& ( op(e3,op(e2,e3)) = e2 ) )
| ( ( op(e3,op(e3,e3)) != e3 )
& ( op(e3,op(e3,e3)) = e3 ) )
| ( ( op(e4,op(e4,e3)) != e3 )
& ( op(e3,op(e4,e3)) = e4 ) ) )
& ( ( ( op(e0,op(e0,e4)) != e4 )
& ( op(e4,op(e0,e4)) = e0 ) )
| ( ( op(e1,op(e1,e4)) != e4 )
& ( op(e4,op(e1,e4)) = e1 ) )
| ( ( op(e2,op(e2,e4)) != e4 )
& ( op(e4,op(e2,e4)) = e2 ) )
| ( ( op(e3,op(e3,e4)) != e4 )
& ( op(e4,op(e3,e4)) = e3 ) )
| ( ( op(e4,op(e4,e4)) != e4 )
& ( op(e4,op(e4,e4)) = e4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_1101,axiom,
( ( op(e0,e0) != op(e1,e0) )
& ( op(e0,e0) != op(e2,e0) )
& ( op(e0,e0) != op(e3,e0) )
& ( op(e0,e0) != op(e4,e0) )
& ( op(e1,e0) != op(e2,e0) )
& ( op(e1,e0) != op(e3,e0) )
& ( op(e1,e0) != op(e4,e0) )
& ( op(e2,e0) != op(e3,e0) )
& ( op(e2,e0) != op(e4,e0) )
& ( op(e3,e0) != op(e4,e0) )
& ( op(e0,e1) != op(e1,e1) )
& ( op(e0,e1) != op(e2,e1) )
& ( op(e0,e1) != op(e3,e1) )
& ( op(e0,e1) != op(e4,e1) )
& ( op(e1,e1) != op(e2,e1) )
& ( op(e1,e1) != op(e3,e1) )
& ( op(e1,e1) != op(e4,e1) )
& ( op(e2,e1) != op(e3,e1) )
& ( op(e2,e1) != op(e4,e1) )
& ( op(e3,e1) != op(e4,e1) )
& ( op(e0,e2) != op(e1,e2) )
& ( op(e0,e2) != op(e2,e2) )
& ( op(e0,e2) != op(e3,e2) )
& ( op(e0,e2) != op(e4,e2) )
& ( op(e1,e2) != op(e2,e2) )
& ( op(e1,e2) != op(e3,e2) )
& ( op(e1,e2) != op(e4,e2) )
& ( op(e2,e2) != op(e3,e2) )
& ( op(e2,e2) != op(e4,e2) )
& ( op(e3,e2) != op(e4,e2) )
& ( op(e0,e3) != op(e1,e3) )
& ( op(e0,e3) != op(e2,e3) )
& ( op(e0,e3) != op(e3,e3) )
& ( op(e0,e3) != op(e4,e3) )
& ( op(e1,e3) != op(e2,e3) )
& ( op(e1,e3) != op(e3,e3) )
& ( op(e1,e3) != op(e4,e3) )
& ( op(e2,e3) != op(e3,e3) )
& ( op(e2,e3) != op(e4,e3) )
& ( op(e3,e3) != op(e4,e3) )
& ( op(e0,e4) != op(e1,e4) )
& ( op(e0,e4) != op(e2,e4) )
& ( op(e0,e4) != op(e3,e4) )
& ( op(e0,e4) != op(e4,e4) )
& ( op(e1,e4) != op(e2,e4) )
& ( op(e1,e4) != op(e3,e4) )
& ( op(e1,e4) != op(e4,e4) )
& ( op(e2,e4) != op(e3,e4) )
& ( op(e2,e4) != op(e4,e4) )
& ( op(e3,e4) != op(e4,e4) )
& ( op(e0,e0) != op(e0,e1) )
& ( op(e0,e0) != op(e0,e2) )
& ( op(e0,e0) != op(e0,e3) )
& ( op(e0,e0) != op(e0,e4) )
& ( op(e0,e1) != op(e0,e2) )
& ( op(e0,e1) != op(e0,e3) )
& ( op(e0,e1) != op(e0,e4) )
& ( op(e0,e2) != op(e0,e3) )
& ( op(e0,e2) != op(e0,e4) )
& ( op(e0,e3) != op(e0,e4) )
& ( op(e1,e0) != op(e1,e1) )
& ( op(e1,e0) != op(e1,e2) )
& ( op(e1,e0) != op(e1,e3) )
& ( op(e1,e0) != op(e1,e4) )
& ( op(e1,e1) != op(e1,e2) )
& ( op(e1,e1) != op(e1,e3) )
& ( op(e1,e1) != op(e1,e4) )
& ( op(e1,e2) != op(e1,e3) )
& ( op(e1,e2) != op(e1,e4) )
& ( op(e1,e3) != op(e1,e4) )
& ( op(e2,e0) != op(e2,e1) )
& ( op(e2,e0) != op(e2,e2) )
& ( op(e2,e0) != op(e2,e3) )
& ( op(e2,e0) != op(e2,e4) )
& ( op(e2,e1) != op(e2,e2) )
& ( op(e2,e1) != op(e2,e3) )
& ( op(e2,e1) != op(e2,e4) )
& ( op(e2,e2) != op(e2,e3) )
& ( op(e2,e2) != op(e2,e4) )
& ( op(e2,e3) != op(e2,e4) )
& ( op(e3,e0) != op(e3,e1) )
& ( op(e3,e0) != op(e3,e2) )
& ( op(e3,e0) != op(e3,e3) )
& ( op(e3,e0) != op(e3,e4) )
& ( op(e3,e1) != op(e3,e2) )
& ( op(e3,e1) != op(e3,e3) )
& ( op(e3,e1) != op(e3,e4) )
& ( op(e3,e2) != op(e3,e3) )
& ( op(e3,e2) != op(e3,e4) )
& ( op(e3,e3) != op(e3,e4) )
& ( op(e4,e0) != op(e4,e1) )
& ( op(e4,e0) != op(e4,e2) )
& ( op(e4,e0) != op(e4,e3) )
& ( op(e4,e0) != op(e4,e4) )
& ( op(e4,e1) != op(e4,e2) )
& ( op(e4,e1) != op(e4,e3) )
& ( op(e4,e1) != op(e4,e4) )
& ( op(e4,e2) != op(e4,e3) )
& ( op(e4,e2) != op(e4,e4) )
& ( op(e4,e3) != op(e4,e4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f_274,axiom,
( ( ( op(e0,e0) = e0 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 )
| ( op(e0,e0) = e4 ) )
& ( ( op(e0,e1) = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e4 ) )
& ( ( op(e0,e2) = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e4 ) )
& ( ( op(e0,e3) = e0 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 )
| ( op(e0,e3) = e4 ) )
& ( ( op(e0,e4) = e0 )
| ( op(e0,e4) = e1 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e3 )
| ( op(e0,e4) = e4 ) )
& ( ( op(e1,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e4 ) )
& ( ( op(e1,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e4 ) )
& ( ( op(e1,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e4 ) )
& ( ( op(e1,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e1,e3) = e4 ) )
& ( ( op(e1,e4) = e0 )
| ( op(e1,e4) = e1 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e3 )
| ( op(e1,e4) = e4 ) )
& ( ( op(e2,e0) = e0 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e4 ) )
& ( ( op(e2,e1) = e0 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e4 ) )
& ( ( op(e2,e2) = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 )
| ( op(e2,e2) = e4 ) )
& ( ( op(e2,e3) = e0 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 )
| ( op(e2,e3) = e4 ) )
& ( ( op(e2,e4) = e0 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e2 )
| ( op(e2,e4) = e3 )
| ( op(e2,e4) = e4 ) )
& ( ( op(e3,e0) = e0 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 )
| ( op(e3,e0) = e4 ) )
& ( ( op(e3,e1) = e0 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e3,e1) = e4 ) )
& ( ( op(e3,e2) = e0 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 )
| ( op(e3,e2) = e4 ) )
& ( ( op(e3,e3) = e0 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e3,e3) = e4 ) )
& ( ( op(e3,e4) = e0 )
| ( op(e3,e4) = e1 )
| ( op(e3,e4) = e2 )
| ( op(e3,e4) = e3 )
| ( op(e3,e4) = e4 ) )
& ( ( op(e4,e0) = e0 )
| ( op(e4,e0) = e1 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e3 )
| ( op(e4,e0) = e4 ) )
& ( ( op(e4,e1) = e0 )
| ( op(e4,e1) = e1 )
| ( op(e4,e1) = e2 )
| ( op(e4,e1) = e3 )
| ( op(e4,e1) = e4 ) )
& ( ( op(e4,e2) = e0 )
| ( op(e4,e2) = e1 )
| ( op(e4,e2) = e2 )
| ( op(e4,e2) = e3 )
| ( op(e4,e2) = e4 ) )
& ( ( op(e4,e3) = e0 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e2 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e4 ) )
& ( ( op(e4,e4) = e0 )
| ( op(e4,e4) = e1 )
| ( op(e4,e4) = e2 )
| ( op(e4,e4) = e3 )
| ( op(e4,e4) = e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f_303,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 )
& ( ( unit = e0 )
| ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f_802,axiom,
( ( ( op(e0,e0) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e0,e4) = e0 ) )
& ( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e4,e0) = e0 ) )
& ( ( op(e0,e0) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e0,e4) = e1 ) )
& ( ( op(e0,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e4,e0) = e1 ) )
& ( ( op(e0,e0) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e0,e4) = e2 ) )
& ( ( op(e0,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e4,e0) = e2 ) )
& ( ( op(e0,e0) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e4) = e3 ) )
& ( ( op(e0,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e4,e0) = e3 ) )
& ( ( op(e0,e0) = e4 )
| ( op(e0,e1) = e4 )
| ( op(e0,e2) = e4 )
| ( op(e0,e3) = e4 )
| ( op(e0,e4) = e4 ) )
& ( ( op(e0,e0) = e4 )
| ( op(e1,e0) = e4 )
| ( op(e2,e0) = e4 )
| ( op(e3,e0) = e4 )
| ( op(e4,e0) = e4 ) )
& ( ( op(e1,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e1,e4) = e0 ) )
& ( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e4,e1) = e0 ) )
& ( ( op(e1,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e1,e4) = e1 ) )
& ( ( op(e0,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e4,e1) = e1 ) )
& ( ( op(e1,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e4) = e2 ) )
& ( ( op(e0,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e4,e1) = e2 ) )
& ( ( op(e1,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e4) = e3 ) )
& ( ( op(e0,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e4,e1) = e3 ) )
& ( ( op(e1,e0) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e1,e4) = e4 ) )
& ( ( op(e0,e1) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e4,e1) = e4 ) )
& ( ( op(e2,e0) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e4) = e0 ) )
& ( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e4,e2) = e0 ) )
& ( ( op(e2,e0) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e4) = e1 ) )
& ( ( op(e0,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e4,e2) = e1 ) )
& ( ( op(e2,e0) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e2,e4) = e2 ) )
& ( ( op(e0,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e4,e2) = e2 ) )
& ( ( op(e2,e0) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e2,e4) = e3 ) )
& ( ( op(e0,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e4,e2) = e3 ) )
& ( ( op(e2,e0) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e2,e4) = e4 ) )
& ( ( op(e0,e2) = e4 )
| ( op(e1,e2) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e4,e2) = e4 ) )
& ( ( op(e3,e0) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e3,e4) = e0 ) )
& ( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e4,e3) = e0 ) )
& ( ( op(e3,e0) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e3,e4) = e1 ) )
& ( ( op(e0,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e4,e3) = e1 ) )
& ( ( op(e3,e0) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e3,e4) = e2 ) )
& ( ( op(e0,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e4,e3) = e2 ) )
& ( ( op(e3,e0) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e3,e4) = e3 ) )
& ( ( op(e0,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e4,e3) = e3 ) )
& ( ( op(e3,e0) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e3,e4) = e4 ) )
& ( ( op(e0,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e4,e3) = e4 ) )
& ( ( op(e4,e0) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e4) = e0 ) )
& ( ( op(e0,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e4,e4) = e0 ) )
& ( ( op(e4,e0) = e1 )
| ( op(e4,e1) = e1 )
| ( op(e4,e2) = e1 )
| ( op(e4,e3) = e1 )
| ( op(e4,e4) = e1 ) )
& ( ( op(e0,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e3,e4) = e1 )
| ( op(e4,e4) = e1 ) )
& ( ( op(e4,e0) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e4) = e2 ) )
& ( ( op(e0,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e3,e4) = e2 )
| ( op(e4,e4) = e2 ) )
& ( ( op(e4,e0) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e4) = e3 ) )
& ( ( op(e0,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e3,e4) = e3 )
| ( op(e4,e4) = e3 ) )
& ( ( op(e4,e0) = e4 )
| ( op(e4,e1) = e4 )
| ( op(e4,e2) = e4 )
| ( op(e4,e3) = e4 )
| ( op(e4,e4) = e4 ) )
& ( ( op(e0,e4) = e4 )
| ( op(e1,e4) = e4 )
| ( op(e2,e4) = e4 )
| ( op(e3,e4) = e4 )
| ( op(e4,e4) = e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(c_380,plain,
e4 != e1,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_396,plain,
op(e4,e2) = e1,
inference(cnfTransformation,[status(thm)],[f_1135]) ).
tff(c_408,plain,
( ( op(e4,e0) = e4 )
| ( op(e4,e4) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1386]) ).
tff(c_1128,plain,
op(e4,e4) != e0,
inference(splitLeft,[status(thm)],[c_408]) ).
tff(c_176,plain,
op(e4,e4) != op(e4,e2),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1018,plain,
op(e4,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_176]) ).
tff(c_404,plain,
( ( op(e4,e2) = e4 )
| ( op(e4,e4) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_1386]) ).
tff(c_784,plain,
( ( e4 = e1 )
| ( op(e4,e4) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_404]) ).
tff(c_985,plain,
op(e4,e4) != e2,
inference(negUnitSimplification,[status(thm)],[c_380,c_784]) ).
tff(c_394,plain,
op(e2,e4) = e3,
inference(cnfTransformation,[status(thm)],[f_1135]) ).
tff(c_276,plain,
op(e4,e4) != op(e2,e4),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1003,plain,
op(e4,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_276]) ).
tff(c_2,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e4) = e3 )
| ( op(e4,e4) = e2 )
| ( op(e4,e4) = e1 )
| ( op(e4,e4) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_1127,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_1018,c_985,c_1003,c_2]) ).
tff(c_1199,plain,
op(e4,e4) = e4,
inference(negUnitSimplification,[status(thm)],[c_1128,c_1127]) ).
tff(c_174,plain,
op(e4,e4) != op(e4,e3),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1204,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_1199,c_174]) ).
tff(c_398,plain,
op(op(e4,e2),op(e4,e2)) = e0,
inference(cnfTransformation,[status(thm)],[f_1135]) ).
tff(c_785,plain,
op(e1,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_396,c_398]) ).
tff(c_352,plain,
op(e1,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_991,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_785,c_352]) ).
tff(c_278,plain,
op(e3,e4) != op(e2,e4),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1001,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_278]) ).
tff(c_186,plain,
op(e4,e4) != op(e4,e0),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1203,plain,
op(e4,e0) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_1199,c_186]) ).
tff(c_52,plain,
( ( unit = e4 )
| ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 )
| ( unit = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_1278,plain,
unit = e0,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_54,plain,
op(e4,unit) = e4,
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_1280,plain,
op(e4,e0) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1278,c_54]) ).
tff(c_1290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1203,c_1280]) ).
tff(c_1291,plain,
( ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_1293,plain,
unit = e4,
inference(splitLeft,[status(thm)],[c_1291]) ).
tff(c_58,plain,
op(e3,unit) = e3,
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_1298,plain,
op(e3,e4) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_1293,c_58]) ).
tff(c_1308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1001,c_1298]) ).
tff(c_1309,plain,
( ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 ) ),
inference(splitRight,[status(thm)],[c_1291]) ).
tff(c_1311,plain,
unit = e1,
inference(splitLeft,[status(thm)],[c_1309]) ).
tff(c_70,plain,
op(e0,unit) = e0,
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_1314,plain,
op(e0,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1311,c_70]) ).
tff(c_1325,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_991,c_1314]) ).
tff(c_1326,plain,
( ( unit = e2 )
| ( unit = e3 ) ),
inference(splitRight,[status(thm)],[c_1309]) ).
tff(c_1328,plain,
unit = e3,
inference(splitLeft,[status(thm)],[c_1326]) ).
tff(c_1333,plain,
op(e4,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1328,c_54]) ).
tff(c_1343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1204,c_1333]) ).
tff(c_1344,plain,
unit = e2,
inference(splitRight,[status(thm)],[c_1326]) ).
tff(c_1350,plain,
op(e4,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1344,c_54]) ).
tff(c_1359,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_1350]) ).
tff(c_1361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380,c_1359]) ).
tff(c_1362,plain,
op(e4,e0) = e4,
inference(splitRight,[status(thm)],[c_408]) ).
tff(c_188,plain,
op(e4,e3) != op(e4,e0),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1442,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_188]) ).
tff(c_1363,plain,
op(e4,e4) = e0,
inference(splitRight,[status(thm)],[c_408]) ).
tff(c_286,plain,
op(e4,e4) != op(e0,e4),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1450,plain,
op(e0,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1363,c_286]) ).
tff(c_428,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e2) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1386]) ).
tff(c_1385,plain,
op(e2,e2) != e0,
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_316,plain,
op(e4,e2) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_997,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_316]) ).
tff(c_216,plain,
op(e2,e4) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1013,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_216]) ).
tff(c_378,plain,
e3 != e2,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_420,plain,
( ( op(e2,e4) = e2 )
| ( op(e2,e2) != e4 ) ),
inference(cnfTransformation,[status(thm)],[f_1386]) ).
tff(c_952,plain,
( ( e3 = e2 )
| ( op(e2,e2) != e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_420]) ).
tff(c_986,plain,
op(e2,e2) != e4,
inference(negUnitSimplification,[status(thm)],[c_378,c_952]) ).
tff(c_26,plain,
( ( op(e2,e2) = e4 )
| ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_1113,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_997,c_1013,c_986,c_26]) ).
tff(c_1471,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_1385,c_1113]) ).
tff(c_230,plain,
op(e2,e2) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1473,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1471,c_230]) ).
tff(c_1639,plain,
unit = e0,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_62,plain,
op(e2,unit) = e2,
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_1645,plain,
op(e2,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_1639,c_62]) ).
tff(c_1652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1473,c_1645]) ).
tff(c_1653,plain,
( ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_1655,plain,
unit = e4,
inference(splitLeft,[status(thm)],[c_1653]) ).
tff(c_1657,plain,
op(e0,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1655,c_70]) ).
tff(c_1668,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1450,c_1657]) ).
tff(c_1669,plain,
( ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 ) ),
inference(splitRight,[status(thm)],[c_1653]) ).
tff(c_1671,plain,
unit = e1,
inference(splitLeft,[status(thm)],[c_1669]) ).
tff(c_1674,plain,
op(e0,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1671,c_70]) ).
tff(c_1685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_991,c_1674]) ).
tff(c_1686,plain,
( ( unit = e2 )
| ( unit = e3 ) ),
inference(splitRight,[status(thm)],[c_1669]) ).
tff(c_1690,plain,
unit = e3,
inference(splitLeft,[status(thm)],[c_1686]) ).
tff(c_1695,plain,
op(e4,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1690,c_54]) ).
tff(c_1705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1442,c_1695]) ).
tff(c_1706,plain,
unit = e2,
inference(splitRight,[status(thm)],[c_1686]) ).
tff(c_1713,plain,
op(e4,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1706,c_54]) ).
tff(c_1722,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_1713]) ).
tff(c_1724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380,c_1722]) ).
tff(c_1726,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_330,plain,
op(e2,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_2597,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1726,c_330]) ).
tff(c_1801,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1726,c_330]) ).
tff(c_1799,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_188]) ).
tff(c_386,plain,
e4 != e0,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_438,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e1) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1386]) ).
tff(c_807,plain,
op(e1,e0) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_785,c_438]) ).
tff(c_246,plain,
op(e1,e4) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1007,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_807,c_246]) ).
tff(c_382,plain,
e3 != e1,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_86,plain,
( ( op(e4,e4) = e1 )
| ( op(e3,e4) = e1 )
| ( op(e2,e4) = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_1086,plain,
( ( op(e4,e4) = e1 )
| ( op(e3,e4) = e1 )
| ( e3 = e1 )
| ( op(e1,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_86]) ).
tff(c_1087,plain,
( ( op(e3,e4) = e1 )
| ( op(e0,e4) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_1007,c_382,c_1018,c_1086]) ).
tff(c_2089,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_1087]) ).
tff(c_2115,plain,
unit = e0,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_56,plain,
op(unit,e4) = e4,
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_2117,plain,
op(e0,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_2115,c_56]) ).
tff(c_2126,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_2089,c_2117]) ).
tff(c_2128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380,c_2126]) ).
tff(c_2129,plain,
( ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_2131,plain,
unit = e4,
inference(splitLeft,[status(thm)],[c_2129]) ).
tff(c_2134,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_2131,c_56]) ).
tff(c_2143,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1363,c_2134]) ).
tff(c_2145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_386,c_2143]) ).
tff(c_2146,plain,
( ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 ) ),
inference(splitRight,[status(thm)],[c_2129]) ).
tff(c_2148,plain,
unit = e1,
inference(splitLeft,[status(thm)],[c_2146]) ).
tff(c_2151,plain,
op(e0,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_2148,c_70]) ).
tff(c_2162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_991,c_2151]) ).
tff(c_2163,plain,
( ( unit = e2 )
| ( unit = e3 ) ),
inference(splitRight,[status(thm)],[c_2146]) ).
tff(c_2168,plain,
unit = e3,
inference(splitLeft,[status(thm)],[c_2163]) ).
tff(c_2174,plain,
op(e4,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_2168,c_54]) ).
tff(c_2183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1799,c_2174]) ).
tff(c_2184,plain,
unit = e2,
inference(splitRight,[status(thm)],[c_2163]) ).
tff(c_2190,plain,
op(e0,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_2184,c_70]) ).
tff(c_2201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1801,c_2190]) ).
tff(c_2202,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_1087]) ).
tff(c_1812,plain,
op(e0,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1363,c_286]) ).
tff(c_388,plain,
e3 != e0,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_392,plain,
e1 != e0,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_418,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e3) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1386]) ).
tff(c_1786,plain,
op(e3,e3) != e0,
inference(splitLeft,[status(thm)],[c_418]) ).
tff(c_390,plain,
e2 != e0,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_2228,plain,
unit = e0,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_60,plain,
op(unit,e3) = e3,
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_2233,plain,
op(e0,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_2228,c_60]) ).
tff(c_1850,plain,
op(e0,e4) = e1,
inference(splitLeft,[status(thm)],[c_1087]) ).
tff(c_1875,plain,
unit = e0,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_1878,plain,
op(e0,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1875,c_56]) ).
tff(c_1887,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_1850,c_1878]) ).
tff(c_1889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380,c_1887]) ).
tff(c_1890,plain,
( ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_1892,plain,
unit = e4,
inference(splitLeft,[status(thm)],[c_1890]) ).
tff(c_1895,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1892,c_56]) ).
tff(c_1904,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1363,c_1895]) ).
tff(c_1906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_386,c_1904]) ).
tff(c_1907,plain,
( ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 ) ),
inference(splitRight,[status(thm)],[c_1890]) ).
tff(c_1909,plain,
unit = e1,
inference(splitLeft,[status(thm)],[c_1907]) ).
tff(c_1912,plain,
op(e0,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1909,c_70]) ).
tff(c_1923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_991,c_1912]) ).
tff(c_1924,plain,
( ( unit = e2 )
| ( unit = e3 ) ),
inference(splitRight,[status(thm)],[c_1907]) ).
tff(c_1926,plain,
unit = e3,
inference(splitLeft,[status(thm)],[c_1924]) ).
tff(c_1932,plain,
op(e4,e3) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1926,c_54]) ).
tff(c_1941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1799,c_1932]) ).
tff(c_1942,plain,
unit = e2,
inference(splitRight,[status(thm)],[c_1924]) ).
tff(c_1948,plain,
op(e0,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1942,c_70]) ).
tff(c_1959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1801,c_1948]) ).
tff(c_1960,plain,
op(e3,e4) = e1,
inference(splitRight,[status(thm)],[c_1087]) ).
tff(c_364,plain,
op(e2,e0) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_988,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_807,c_364]) ).
tff(c_128,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_1056,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_128]) ).
tff(c_1057,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_988,c_997,c_382,c_1056]) ).
tff(c_1838,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_1057]) ).
tff(c_350,plain,
op(e2,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1843,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1838,c_350]) ).
tff(c_1985,plain,
unit = e0,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_68,plain,
op(unit,e1) = e1,
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_1995,plain,
op(e0,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_1985,c_68]) ).
tff(c_2000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1843,c_1995]) ).
tff(c_2001,plain,
( ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_2003,plain,
unit = e4,
inference(splitLeft,[status(thm)],[c_2001]) ).
tff(c_2005,plain,
op(e0,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_2003,c_70]) ).
tff(c_2016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1812,c_2005]) ).
tff(c_2017,plain,
( ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 ) ),
inference(splitRight,[status(thm)],[c_2001]) ).
tff(c_2019,plain,
unit = e1,
inference(splitLeft,[status(thm)],[c_2017]) ).
tff(c_2023,plain,
op(e0,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_2019,c_70]) ).
tff(c_2034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_991,c_2023]) ).
tff(c_2035,plain,
( ( unit = e2 )
| ( unit = e3 ) ),
inference(splitRight,[status(thm)],[c_2017]) ).
tff(c_2037,plain,
unit = e3,
inference(splitLeft,[status(thm)],[c_2035]) ).
tff(c_2042,plain,
op(e3,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_2037,c_56]) ).
tff(c_2051,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_1960,c_2042]) ).
tff(c_2053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380,c_2051]) ).
tff(c_2054,plain,
unit = e2,
inference(splitRight,[status(thm)],[c_2035]) ).
tff(c_2060,plain,
op(e0,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_2054,c_70]) ).
tff(c_2071,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1801,c_2060]) ).
tff(c_2072,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_1057]) ).
tff(c_2232,plain,
op(e3,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_2228,c_58]) ).
tff(c_212,plain,
op(e3,e1) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_2271,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2232,c_212]) ).
tff(c_2238,plain,
op(e0,e1) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_2228,c_68]) ).
tff(c_376,plain,
e4 != e2,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_384,plain,
e2 != e1,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_84,plain,
( ( op(e4,e4) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_1088,plain,
( ( op(e4,e4) = e2 )
| ( op(e4,e3) = e2 )
| ( e2 = e1 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_84]) ).
tff(c_1089,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_384,c_985,c_1088]) ).
tff(c_2333,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e1) = e2 )
| ( e4 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_1089]) ).
tff(c_2334,plain,
( ( op(e4,e3) = e2 )
| ( op(e4,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_376,c_2333]) ).
tff(c_2335,plain,
op(e4,e1) = e2,
inference(splitLeft,[status(thm)],[c_2334]) ).
tff(c_220,plain,
op(e2,e4) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1012,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_220]) ).
tff(c_138,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_1046,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_785,c_138]) ).
tff(c_1047,plain,
( ( op(e4,e1) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_388,c_1012,c_1046]) ).
tff(c_2391,plain,
( ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2238,c_2335,c_1047]) ).
tff(c_2392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382,c_2271,c_378,c_2391]) ).
tff(c_2393,plain,
op(e4,e3) = e2,
inference(splitRight,[status(thm)],[c_2334]) ).
tff(c_242,plain,
op(e1,e3) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1009,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_785,c_242]) ).
tff(c_110,plain,
( ( op(e4,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_1073,plain,
( ( op(e4,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_1009,c_110]) ).
tff(c_2486,plain,
( ( e2 = e0 )
| ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2233,c_2072,c_2393,c_1073]) ).
tff(c_2487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_388,c_392,c_1786,c_390,c_2486]) ).
tff(c_2488,plain,
( ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_2490,plain,
unit = e4,
inference(splitLeft,[status(thm)],[c_2488]) ).
tff(c_2492,plain,
op(e0,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_2490,c_70]) ).
tff(c_2503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1812,c_2492]) ).
tff(c_2504,plain,
( ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 ) ),
inference(splitRight,[status(thm)],[c_2488]) ).
tff(c_2507,plain,
unit = e1,
inference(splitLeft,[status(thm)],[c_2504]) ).
tff(c_2510,plain,
op(e0,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_2507,c_70]) ).
tff(c_2521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_991,c_2510]) ).
tff(c_2522,plain,
( ( unit = e2 )
| ( unit = e3 ) ),
inference(splitRight,[status(thm)],[c_2504]) ).
tff(c_2524,plain,
unit = e3,
inference(splitLeft,[status(thm)],[c_2522]) ).
tff(c_2529,plain,
op(e3,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_2524,c_56]) ).
tff(c_2538,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_2202,c_2529]) ).
tff(c_2540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380,c_2538]) ).
tff(c_2541,plain,
unit = e2,
inference(splitRight,[status(thm)],[c_2522]) ).
tff(c_2547,plain,
op(e0,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_2541,c_70]) ).
tff(c_2558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1801,c_2547]) ).
tff(c_2560,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_308,plain,
op(e3,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_2604,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_2560,c_308]) ).
tff(c_2619,plain,
op(e0,e4) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1363,c_286]) ).
tff(c_2559,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_1725,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_3058,plain,
unit = e0,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_3060,plain,
op(e0,e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_3058,c_70]) ).
tff(c_768,plain,
( ( op(e0,op(e0,e0)) != e0 )
| ( op(e1,op(e1,e0)) != e0 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1386]) ).
tff(c_867,plain,
( ( op(e0,op(e0,e0)) != e0 )
| ( op(e1,e1) != e0 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_807,c_768]) ).
tff(c_947,plain,
( ( op(e0,op(e0,e0)) != e0 )
| ( op(e2,op(e2,e0)) != e0 )
| ( op(e3,op(e3,e0)) != e0 )
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_785,c_867]) ).
tff(c_3376,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1363,c_1362,c_2560,c_2559,c_1726,c_1725,c_3060,c_3060,c_947]) ).
tff(c_3377,plain,
( ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_3379,plain,
unit = e4,
inference(splitLeft,[status(thm)],[c_3377]) ).
tff(c_3381,plain,
op(e0,e4) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_3379,c_70]) ).
tff(c_3392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2619,c_3381]) ).
tff(c_3393,plain,
( ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 ) ),
inference(splitRight,[status(thm)],[c_3377]) ).
tff(c_3395,plain,
unit = e1,
inference(splitLeft,[status(thm)],[c_3393]) ).
tff(c_3399,plain,
op(e0,e1) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_3395,c_70]) ).
tff(c_3410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_991,c_3399]) ).
tff(c_3411,plain,
( ( unit = e2 )
| ( unit = e3 ) ),
inference(splitRight,[status(thm)],[c_3393]) ).
tff(c_3413,plain,
unit = e3,
inference(splitLeft,[status(thm)],[c_3411]) ).
tff(c_3417,plain,
op(e0,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_3413,c_70]) ).
tff(c_3428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2604,c_3417]) ).
tff(c_3429,plain,
unit = e2,
inference(splitRight,[status(thm)],[c_3411]) ).
tff(c_3434,plain,
op(e0,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_3429,c_70]) ).
tff(c_3445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2597,c_3434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG065+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 20:32:22 EDT 2023
% 0.15/0.35 % CPUTime :
% 13.73/4.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.73/4.61
% 13.73/4.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.08/4.67
% 14.08/4.67 Inference rules
% 14.08/4.67 ----------------------
% 14.08/4.67 #Ref : 0
% 14.08/4.67 #Sup : 220
% 14.08/4.67 #Fact : 0
% 14.08/4.67 #Define : 0
% 14.08/4.67 #Split : 123
% 14.08/4.67 #Chain : 0
% 14.08/4.67 #Close : 0
% 14.08/4.67
% 14.08/4.67 Ordering : KBO
% 14.08/4.67
% 14.08/4.67 Simplification rules
% 14.08/4.67 ----------------------
% 14.08/4.67 #Subsume : 580
% 14.08/4.67 #Demod : 2216
% 14.08/4.67 #Tautology : 372
% 14.08/4.67 #SimpNegUnit : 249
% 14.08/4.67 #BackRed : 1074
% 14.08/4.67
% 14.08/4.67 #Partial instantiations: 0
% 14.08/4.67 #Strategies tried : 1
% 14.08/4.67
% 14.08/4.67 Timing (in seconds)
% 14.08/4.67 ----------------------
% 14.08/4.67 Preprocessing : 1.28
% 14.08/4.67 Parsing : 0.64
% 14.08/4.67 CNF conversion : 0.07
% 14.08/4.67 Main loop : 2.07
% 14.08/4.67 Inferencing : 0.22
% 14.08/4.67 Reduction : 0.74
% 14.08/4.67 Demodulation : 0.43
% 14.08/4.67 BG Simplification : 0.12
% 14.08/4.67 Subsumption : 0.83
% 14.08/4.67 Abstraction : 0.04
% 14.08/4.67 MUC search : 0.00
% 14.08/4.67 Cooper : 0.00
% 14.08/4.67 Total : 3.48
% 14.08/4.67 Index Insertion : 0.00
% 14.08/4.67 Index Deletion : 0.00
% 14.08/4.67 Index Matching : 0.00
% 14.08/4.67 BG Taut test : 0.00
%------------------------------------------------------------------------------