TSTP Solution File: ALG054+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG054+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n015.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 10:31:02 EDT 2023
% Result : Theorem 8.75s 2.96s
% Output : CNFRefutation 9.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 265 ( 180 unt; 7 typ; 0 def)
% Number of atoms : 995 ( 968 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 956 ( 219 ~; 514 |; 223 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 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/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f_1137,axiom,
( ( e0 = op(e1,op(op(e1,e1),op(e1,e1))) )
& ( e2 = op(op(e1,e1),op(e1,e1)) )
& ( e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) )
& ( e4 = op(e1,e1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
tff(f_1313,negated_conjecture,
~ ~ ( ( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e4,e4) = e0 ) )
& ( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e4,e4) = e1 ) )
& ( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e4,e4) = e2 ) )
& ( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e4,e4) = e3 ) )
& ( ( op(e0,e0) = e4 )
| ( op(e1,e1) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e4,e4) = e4 ) )
& ( ( 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 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax1) ).
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/sandbox2/benchmark/theBenchmark.p',ax3) ).
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/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(c_378,plain,
e3 != e2,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_398,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(cnfTransformation,[status(thm)],[f_1137]) ).
tff(c_396,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = e3,
inference(cnfTransformation,[status(thm)],[f_1137]) ).
tff(c_463,plain,
op(e2,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_398,c_398,c_396]) ).
tff(c_424,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_466,plain,
op(e2,e3) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_463,c_424]) ).
tff(c_388,plain,
e3 != e0,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_386,plain,
e4 != e0,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_392,plain,
e1 != e0,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_380,plain,
e4 != e1,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_448,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e0) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_1266,plain,
op(e0,e0) != e1,
inference(splitLeft,[status(thm)],[c_448]) ).
tff(c_444,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_728,plain,
op(e0,e0) != e3,
inference(splitLeft,[status(thm)],[c_444]) ).
tff(c_442,plain,
( ( op(e0,e4) = e0 )
| ( op(e0,e0) != e4 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_703,plain,
op(e0,e0) != e4,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_400,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = e0,
inference(cnfTransformation,[status(thm)],[f_1137]) ).
tff(c_461,plain,
op(e1,e2) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_398,c_400]) ).
tff(c_332,plain,
op(e1,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_503,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_461,c_332]) ).
tff(c_446,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e0) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_504,plain,
op(e0,e0) != e2,
inference(negUnitSimplification,[status(thm)],[c_503,c_446]) ).
tff(c_50,plain,
( ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_652,plain,
( ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_504,c_50]) ).
tff(c_1324,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_1266,c_728,c_703,c_652]) ).
tff(c_420,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e3) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_686,plain,
op(e3,e3) != e0,
inference(splitLeft,[status(thm)],[c_420]) ).
tff(c_418,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e3) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_763,plain,
op(e3,e3) != e1,
inference(splitLeft,[status(thm)],[c_418]) ).
tff(c_412,plain,
( ( op(e3,e4) = e3 )
| ( op(e3,e3) != e4 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_749,plain,
op(e3,e3) != e4,
inference(splitLeft,[status(thm)],[c_412]) ).
tff(c_318,plain,
op(e3,e2) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_510,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_463,c_318]) ).
tff(c_416,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e3) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_511,plain,
op(e3,e3) != e2,
inference(negUnitSimplification,[status(thm)],[c_510,c_416]) ).
tff(c_374,plain,
e4 != e3,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_382,plain,
e3 != e1,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_394,plain,
op(e1,e1) = e4,
inference(cnfTransformation,[status(thm)],[f_1137]) ).
tff(c_436,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e1) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_462,plain,
( ( e1 = e0 )
| ( op(e1,e1) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_461,c_436]) ).
tff(c_474,plain,
( ( e1 = e0 )
| ( e4 != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_462]) ).
tff(c_492,plain,
e4 != e2,
inference(negUnitSimplification,[status(thm)],[c_392,c_474]) ).
tff(c_390,plain,
e2 != e0,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_304,plain,
op(e2,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_515,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_466,c_304]) ).
tff(c_384,plain,
e2 != e1,
inference(cnfTransformation,[status(thm)],[f_1130]) ).
tff(c_432,plain,
( ( op(e1,e4) = e1 )
| ( op(e1,e1) != e4 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_478,plain,
op(e1,e4) = e1,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_432]) ).
tff(c_144,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_566,plain,
( ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e4 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_461,c_478,c_144]) ).
tff(c_567,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_492,c_390,c_515,c_384,c_566]) ).
tff(c_140,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_581,plain,
( ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( e4 = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_567,c_394,c_461,c_478,c_140]) ).
tff(c_582,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_378,c_374,c_388,c_382,c_581]) ).
tff(c_302,plain,
op(e3,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_584,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_582,c_302]) ).
tff(c_14,plain,
( ( op(e3,e3) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_677,plain,
( ( op(e3,e3) = e4 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_511,c_584,c_14]) ).
tff(c_787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_686,c_763,c_749,c_677]) ).
tff(c_788,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_362,plain,
op(e3,e0) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_571,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_567,c_362]) ).
tff(c_475,plain,
op(e4,e4) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_394,c_398]) ).
tff(c_274,plain,
op(e4,e4) != op(e3,e4),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_524,plain,
op(e3,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_475,c_274]) ).
tff(c_104,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_623,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_571,c_511,c_524,c_104]) ).
tff(c_807,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_788,c_623]) ).
tff(c_808,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_378,c_807]) ).
tff(c_200,plain,
op(e3,e4) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_828,plain,
op(e3,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_788,c_200]) ).
tff(c_284,plain,
op(e2,e4) != op(e1,e4),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_520,plain,
op(e2,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_478,c_284]) ).
tff(c_276,plain,
op(e4,e4) != op(e2,e4),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_523,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_475,c_276]) ).
tff(c_216,plain,
op(e2,e4) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_539,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_463,c_216]) ).
tff(c_22,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e4) = e3 )
| ( op(e2,e4) = e2 )
| ( op(e2,e4) = e1 )
| ( op(e2,e4) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_673,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_520,c_523,c_539,c_22]) ).
tff(c_872,plain,
op(e2,e4) = e0,
inference(splitLeft,[status(thm)],[c_673]) ).
tff(c_789,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_78,plain,
( ( op(e4,e4) = e3 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( op(e1,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_646,plain,
( ( e3 = e2 )
| ( op(e3,e4) = e3 )
| ( op(e2,e4) = e3 )
| ( e3 = e1 )
| ( op(e0,e4) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_478,c_475,c_78]) ).
tff(c_647,plain,
( ( op(e3,e4) = e3 )
| ( op(e0,e4) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_382,c_539,c_378,c_646]) ).
tff(c_945,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_828,c_647]) ).
tff(c_52,plain,
( ( unit = e4 )
| ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 )
| ( unit = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_961,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_973,plain,
op(e0,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_961,c_56]) ).
tff(c_983,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_945,c_973]) ).
tff(c_985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_374,c_983]) ).
tff(c_986,plain,
( ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_988,plain,
unit = e4,
inference(splitLeft,[status(thm)],[c_986]) ).
tff(c_990,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_988,c_56]) ).
tff(c_1000,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_475,c_990]) ).
tff(c_1002,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_492,c_1000]) ).
tff(c_1003,plain,
( ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 ) ),
inference(splitRight,[status(thm)],[c_986]) ).
tff(c_1005,plain,
unit = e1,
inference(splitLeft,[status(thm)],[c_1003]) ).
tff(c_1008,plain,
op(e1,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1005,c_56]) ).
tff(c_1018,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_478,c_1008]) ).
tff(c_1020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380,c_1018]) ).
tff(c_1021,plain,
( ( unit = e2 )
| ( unit = e3 ) ),
inference(splitRight,[status(thm)],[c_1003]) ).
tff(c_1023,plain,
unit = e3,
inference(splitLeft,[status(thm)],[c_1021]) ).
tff(c_58,plain,
op(e3,unit) = e3,
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_1039,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_1023,c_58]) ).
tff(c_1049,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_789,c_1039]) ).
tff(c_1051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382,c_1049]) ).
tff(c_1052,plain,
unit = e2,
inference(splitRight,[status(thm)],[c_1021]) ).
tff(c_1057,plain,
op(e2,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1052,c_56]) ).
tff(c_1067,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_872,c_1057]) ).
tff(c_1069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_386,c_1067]) ).
tff(c_1070,plain,
op(e2,e4) = e4,
inference(splitRight,[status(thm)],[c_673]) ).
tff(c_278,plain,
op(e3,e4) != op(e2,e4),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1075,plain,
op(e3,e4) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_1070,c_278]) ).
tff(c_282,plain,
op(e3,e4) != op(e1,e4),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_521,plain,
op(e3,e4) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_478,c_282]) ).
tff(c_12,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e4) = e3 )
| ( op(e3,e4) = e2 )
| ( op(e3,e4) = e1 )
| ( op(e3,e4) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_678,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e4) = e3 )
| ( op(e3,e4) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_521,c_524,c_12]) ).
tff(c_1196,plain,
op(e3,e4) = e0,
inference(negUnitSimplification,[status(thm)],[c_828,c_1075,c_678]) ).
tff(c_1086,plain,
op(e0,e4) = e3,
inference(negUnitSimplification,[status(thm)],[c_828,c_647]) ).
tff(c_1163,plain,
unit = e0,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_1164,plain,
op(e0,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1163,c_56]) ).
tff(c_1174,plain,
e4 = e3,
inference(demodulation,[status(thm),theory(equality)],[c_1086,c_1164]) ).
tff(c_1176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_374,c_1174]) ).
tff(c_1177,plain,
( ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_1179,plain,
unit = e4,
inference(splitLeft,[status(thm)],[c_1177]) ).
tff(c_1181,plain,
op(e4,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1179,c_56]) ).
tff(c_1191,plain,
e4 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_475,c_1181]) ).
tff(c_1193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_492,c_1191]) ).
tff(c_1194,plain,
( ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 ) ),
inference(splitRight,[status(thm)],[c_1177]) ).
tff(c_1206,plain,
unit = e1,
inference(splitLeft,[status(thm)],[c_1194]) ).
tff(c_1209,plain,
op(e1,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1206,c_56]) ).
tff(c_1219,plain,
e4 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_478,c_1209]) ).
tff(c_1221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_380,c_1219]) ).
tff(c_1222,plain,
( ( unit = e2 )
| ( unit = e3 ) ),
inference(splitRight,[status(thm)],[c_1194]) ).
tff(c_1224,plain,
unit = e3,
inference(splitLeft,[status(thm)],[c_1222]) ).
tff(c_1228,plain,
op(e3,e4) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_1224,c_56]) ).
tff(c_1238,plain,
e4 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_1196,c_1228]) ).
tff(c_1240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_386,c_1238]) ).
tff(c_1241,plain,
unit = e2,
inference(splitRight,[status(thm)],[c_1222]) ).
tff(c_1247,plain,
op(e3,e2) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_1241,c_58]) ).
tff(c_1257,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_808,c_1247]) ).
tff(c_1259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_378,c_1257]) ).
tff(c_1261,plain,
op(e3,e3) = e4,
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_458,plain,
( ( op(e4,e4) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_470,plain,
( ( op(e4,e4) = e1 )
| ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_463,c_458]) ).
tff(c_480,plain,
( ( op(e4,e4) = e1 )
| ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e4 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_470]) ).
tff(c_489,plain,
( ( e2 = e1 )
| ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e4 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_475,c_480]) ).
tff(c_496,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e4 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_384,c_489]) ).
tff(c_497,plain,
( ( op(e3,e3) = e1 )
| ( e4 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_382,c_496]) ).
tff(c_498,plain,
( ( op(e3,e3) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_380,c_497]) ).
tff(c_1430,plain,
( ( e4 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1324,c_1261,c_498]) ).
tff(c_1431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_392,c_380,c_1430]) ).
tff(c_1433,plain,
op(e0,e0) = e1,
inference(splitRight,[status(thm)],[c_448]) ).
tff(c_460,plain,
( ( op(e4,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_473,plain,
( ( op(e4,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_463,c_460]) ).
tff(c_483,plain,
( ( op(e4,e4) = e0 )
| ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e4 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_473]) ).
tff(c_491,plain,
( ( e2 = e0 )
| ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e4 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_475,c_483]) ).
tff(c_493,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e4 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_390,c_491]) ).
tff(c_494,plain,
( ( op(e3,e3) = e0 )
| ( e4 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_388,c_493]) ).
tff(c_495,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_386,c_494]) ).
tff(c_1590,plain,
( ( e4 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1433,c_1261,c_495]) ).
tff(c_1591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_392,c_386,c_1590]) ).
tff(c_1592,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_444]) ).
tff(c_306,plain,
op(e4,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1862,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1592,c_306]) ).
tff(c_1593,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_444]) ).
tff(c_1619,plain,
op(e3,e3) != e1,
inference(splitLeft,[status(thm)],[c_418]) ).
tff(c_1620,plain,
op(e3,e3) != e4,
inference(splitLeft,[status(thm)],[c_412]) ).
tff(c_1668,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_686,c_1619,c_1620,c_677]) ).
tff(c_1670,plain,
op(e3,e3) = e4,
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_1784,plain,
( ( e4 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1593,c_1670,c_495]) ).
tff(c_1785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_388,c_386,c_1784]) ).
tff(c_1787,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_294,plain,
op(e4,e3) != op(e3,e3),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_1888,plain,
op(e4,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1787,c_294]) ).
tff(c_296,plain,
op(e4,e3) != op(e2,e3),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_517,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_466,c_296]) ).
tff(c_300,plain,
op(e4,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_589,plain,
op(e4,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_582,c_300]) ).
tff(c_406,plain,
( ( op(e4,e2) = e4 )
| ( op(e4,e4) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_1313]) ).
tff(c_488,plain,
op(e4,e2) = e4,
inference(demodulation,[status(thm),theory(equality)],[c_475,c_406]) ).
tff(c_178,plain,
op(e4,e3) != op(e4,e2),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_545,plain,
op(e4,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_488,c_178]) ).
tff(c_4,plain,
( ( op(e4,e3) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_683,plain,
( ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_517,c_589,c_545,c_4]) ).
tff(c_1900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1862,c_1888,c_683]) ).
tff(c_1902,plain,
op(e0,e0) = e4,
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_268,plain,
op(e0,e3) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_2087,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_1902,c_268]) ).
tff(c_1950,plain,
op(e3,e3) != e1,
inference(splitLeft,[status(thm)],[c_418]) ).
tff(c_1949,plain,
op(e3,e3) != e4,
inference(splitLeft,[status(thm)],[c_412]) ).
tff(c_2016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_686,c_1950,c_1949,c_677]) ).
tff(c_2018,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_94,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_630,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( e4 = e2 )
| ( e4 = e3 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_582,c_466,c_94]) ).
tff(c_631,plain,
( ( op(e3,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(negUnitSimplification,[status(thm)],[c_374,c_492,c_545,c_630]) ).
tff(c_2117,plain,
( ( e4 = e1 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2018,c_631]) ).
tff(c_2118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2087,c_380,c_2117]) ).
tff(c_2120,plain,
op(e3,e3) = e4,
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_2226,plain,
( ( e4 = e0 )
| ( e4 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1902,c_2120,c_495]) ).
tff(c_2227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_386,c_386,c_2226]) ).
tff(c_2229,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_420]) ).
tff(c_2272,plain,
op(e0,e0) != e1,
inference(splitLeft,[status(thm)],[c_448]) ).
tff(c_2303,plain,
op(e0,e0) != e3,
inference(splitLeft,[status(thm)],[c_444]) ).
tff(c_2297,plain,
op(e0,e0) != e4,
inference(splitLeft,[status(thm)],[c_442]) ).
tff(c_2368,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_2272,c_2303,c_2297,c_652]) ).
tff(c_2506,plain,
( ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2368,c_2229,c_498]) ).
tff(c_2507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_392,c_392,c_2506]) ).
tff(c_2508,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_444]) ).
tff(c_308,plain,
op(e3,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_2553,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2229,c_308]) ).
tff(c_2555,plain,
op(e0,e0) = e4,
inference(splitRight,[status(thm)],[c_442]) ).
tff(c_2673,plain,
op(e0,e3) != e4,
inference(demodulation,[status(thm),theory(equality)],[c_2555,c_268]) ).
tff(c_2677,plain,
( ( e4 = e0 )
| ( op(e0,e3) = e4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2229,c_631]) ).
tff(c_2678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2673,c_386,c_2677]) ).
tff(c_2680,plain,
op(e0,e0) = e1,
inference(splitRight,[status(thm)],[c_448]) ).
tff(c_370,plain,
op(e2,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_2780,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2680,c_370]) ).
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_601,plain,
( ( op(e2,e4) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_463,c_466,c_128]) ).
tff(c_602,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_382,c_384,c_520,c_601]) ).
tff(c_2844,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_2780,c_602]) ).
tff(c_2750,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_2229,c_294]) ).
tff(c_2818,plain,
op(e4,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_2750,c_683]) ).
tff(c_228,plain,
op(e2,e3) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_1101]) ).
tff(c_535,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_466,c_228]) ).
tff(c_3029,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_3030,plain,
op(e2,e0) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_3029,c_62]) ).
tff(c_3041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_535,c_3030]) ).
tff(c_3042,plain,
( ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 )
| ( unit = e4 ) ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_3044,plain,
unit = e4,
inference(splitLeft,[status(thm)],[c_3042]) ).
tff(c_60,plain,
op(unit,e3) = e3,
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_3047,plain,
op(e4,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_3044,c_60]) ).
tff(c_3056,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_2818,c_3047]) ).
tff(c_3058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_382,c_3056]) ).
tff(c_3059,plain,
( ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 ) ),
inference(splitRight,[status(thm)],[c_3042]) ).
tff(c_3061,plain,
unit = e1,
inference(splitLeft,[status(thm)],[c_3059]) ).
tff(c_3075,plain,
op(e2,e1) = e2,
inference(demodulation,[status(thm),theory(equality)],[c_3061,c_62]) ).
tff(c_3085,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_2844,c_3075]) ).
tff(c_3087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384,c_3085]) ).
tff(c_3088,plain,
( ( unit = e2 )
| ( unit = e3 ) ),
inference(splitRight,[status(thm)],[c_3059]) ).
tff(c_3090,plain,
unit = e3,
inference(splitLeft,[status(thm)],[c_3088]) ).
tff(c_3095,plain,
op(e3,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_3090,c_60]) ).
tff(c_3105,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_2229,c_3095]) ).
tff(c_3107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_388,c_3105]) ).
tff(c_3108,plain,
unit = e2,
inference(splitRight,[status(thm)],[c_3088]) ).
tff(c_3114,plain,
op(e2,e3) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_3108,c_60]) ).
tff(c_3123,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_466,c_3114]) ).
tff(c_3125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_378,c_3123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG054+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 20:44:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 8.75/2.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.75/2.99
% 8.75/2.99 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.10/3.05
% 9.10/3.05 Inference rules
% 9.10/3.05 ----------------------
% 9.10/3.05 #Ref : 0
% 9.10/3.05 #Sup : 458
% 9.10/3.05 #Fact : 0
% 9.10/3.05 #Define : 0
% 9.10/3.05 #Split : 71
% 9.10/3.05 #Chain : 0
% 9.10/3.05 #Close : 0
% 9.10/3.05
% 9.10/3.05 Ordering : KBO
% 9.10/3.05
% 9.10/3.05 Simplification rules
% 9.10/3.05 ----------------------
% 9.10/3.05 #Subsume : 738
% 9.10/3.05 #Demod : 1592
% 9.10/3.05 #Tautology : 571
% 9.10/3.05 #SimpNegUnit : 242
% 9.10/3.05 #BackRed : 733
% 9.10/3.05
% 9.10/3.05 #Partial instantiations: 0
% 9.10/3.05 #Strategies tried : 1
% 9.10/3.05
% 9.10/3.05 Timing (in seconds)
% 9.10/3.05 ----------------------
% 9.10/3.05 Preprocessing : 0.74
% 9.10/3.05 Parsing : 0.39
% 9.10/3.05 CNF conversion : 0.04
% 9.10/3.05 Main loop : 1.21
% 9.10/3.05 Inferencing : 0.27
% 9.10/3.05 Reduction : 0.46
% 9.10/3.05 Demodulation : 0.30
% 9.10/3.05 BG Simplification : 0.06
% 9.10/3.05 Subsumption : 0.31
% 9.10/3.05 Abstraction : 0.03
% 9.10/3.05 MUC search : 0.00
% 9.10/3.05 Cooper : 0.00
% 9.10/3.05 Total : 2.04
% 9.10/3.05 Index Insertion : 0.00
% 9.10/3.05 Index Deletion : 0.00
% 9.10/3.05 Index Matching : 0.00
% 9.10/3.05 BG Taut test : 0.00
%------------------------------------------------------------------------------