TSTP Solution File: ALG113+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG113+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 : n026.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 10:31:24 EDT 2023
% Result : Theorem 146.00s 127.63s
% Output : CNFRefutation 146.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 44
% Syntax : Number of formulae : 246 ( 118 unt; 22 typ; 0 def)
% Number of atoms : 1497 (1496 equ)
% Maximal formula atoms : 384 ( 6 avg)
% Number of connectives : 1816 ( 543 ~; 838 |; 435 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 16 ( 14 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op2 > op1 > #nlpp > h9 > h8 > h7 > h6 > h5 > h4 > h3 > h2 > h12 > h11 > h10 > h1 > e23 > e22 > e21 > e20 > e13 > e12 > e11 > e10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e21,type,
e21: $i ).
tff(h4,type,
h4: $i > $i ).
tff(e20,type,
e20: $i ).
tff(h7,type,
h7: $i > $i ).
tff(h3,type,
h3: $i > $i ).
tff(h2,type,
h2: $i > $i ).
tff(e13,type,
e13: $i ).
tff(h8,type,
h8: $i > $i ).
tff(e22,type,
e22: $i ).
tff(op2,type,
op2: ( $i * $i ) > $i ).
tff(h6,type,
h6: $i > $i ).
tff(op1,type,
op1: ( $i * $i ) > $i ).
tff(h1,type,
h1: $i > $i ).
tff(h9,type,
h9: $i > $i ).
tff(h5,type,
h5: $i > $i ).
tff(e10,type,
e10: $i ).
tff(h12,type,
h12: $i > $i ).
tff(h10,type,
h10: $i > $i ).
tff(e23,type,
e23: $i ).
tff(e12,type,
e12: $i ).
tff(e11,type,
e11: $i ).
tff(h11,type,
h11: $i > $i ).
tff(f_1204,axiom,
( ( h4(e12) = e21 )
& ( h4(e13) = e20 )
& ( h4(e10) = op2(e21,e20) )
& ( h4(e11) = op2(op2(e21,e20),e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
tff(f_1170,axiom,
( ( op2(e20,e20) = e20 )
& ( op2(e21,e21) = e21 )
& ( op2(e22,e22) = e22 )
& ( op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
tff(f_1075,axiom,
( ( op2(e20,e20) != op2(e21,e20) )
& ( op2(e20,e20) != op2(e22,e20) )
& ( op2(e20,e20) != op2(e23,e20) )
& ( op2(e21,e20) != op2(e22,e20) )
& ( op2(e21,e20) != op2(e23,e20) )
& ( op2(e22,e20) != op2(e23,e20) )
& ( op2(e20,e21) != op2(e21,e21) )
& ( op2(e20,e21) != op2(e22,e21) )
& ( op2(e20,e21) != op2(e23,e21) )
& ( op2(e21,e21) != op2(e22,e21) )
& ( op2(e21,e21) != op2(e23,e21) )
& ( op2(e22,e21) != op2(e23,e21) )
& ( op2(e20,e22) != op2(e21,e22) )
& ( op2(e20,e22) != op2(e22,e22) )
& ( op2(e20,e22) != op2(e23,e22) )
& ( op2(e21,e22) != op2(e22,e22) )
& ( op2(e21,e22) != op2(e23,e22) )
& ( op2(e22,e22) != op2(e23,e22) )
& ( op2(e20,e23) != op2(e21,e23) )
& ( op2(e20,e23) != op2(e22,e23) )
& ( op2(e20,e23) != op2(e23,e23) )
& ( op2(e21,e23) != op2(e22,e23) )
& ( op2(e21,e23) != op2(e23,e23) )
& ( op2(e22,e23) != op2(e23,e23) )
& ( op2(e20,e20) != op2(e20,e21) )
& ( op2(e20,e20) != op2(e20,e22) )
& ( op2(e20,e20) != op2(e20,e23) )
& ( op2(e20,e21) != op2(e20,e22) )
& ( op2(e20,e21) != op2(e20,e23) )
& ( op2(e20,e22) != op2(e20,e23) )
& ( op2(e21,e20) != op2(e21,e21) )
& ( op2(e21,e20) != op2(e21,e22) )
& ( op2(e21,e20) != op2(e21,e23) )
& ( op2(e21,e21) != op2(e21,e22) )
& ( op2(e21,e21) != op2(e21,e23) )
& ( op2(e21,e22) != op2(e21,e23) )
& ( op2(e22,e20) != op2(e22,e21) )
& ( op2(e22,e20) != op2(e22,e22) )
& ( op2(e22,e20) != op2(e22,e23) )
& ( op2(e22,e21) != op2(e22,e22) )
& ( op2(e22,e21) != op2(e22,e23) )
& ( op2(e22,e22) != op2(e22,e23) )
& ( op2(e23,e20) != op2(e23,e21) )
& ( op2(e23,e20) != op2(e23,e22) )
& ( op2(e23,e20) != op2(e23,e23) )
& ( op2(e23,e21) != op2(e23,e22) )
& ( op2(e23,e21) != op2(e23,e23) )
& ( op2(e23,e22) != op2(e23,e23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(f_1109,axiom,
( ( e20 != e21 )
& ( e20 != e22 )
& ( e20 != e23 )
& ( e21 != e22 )
& ( e21 != e23 )
& ( e22 != e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
tff(f_1176,axiom,
( ( e20 = op2(e22,e23) )
& ( e21 = op2(op2(e22,e23),e23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
tff(f_1197,axiom,
( ( h3(e12) = e20 )
& ( h3(e13) = e23 )
& ( h3(e10) = op2(e20,e23) )
& ( h3(e11) = op2(op2(e20,e23),e23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
tff(f_1211,axiom,
( ( h5(e12) = e21 )
& ( h5(e13) = e22 )
& ( h5(e10) = op2(e21,e22) )
& ( h5(e11) = op2(op2(e21,e22),e22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
tff(f_789,axiom,
( ( ( op2(e20,e20) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e23) = e20 ) )
& ( ( op2(e20,e20) = e20 )
| ( op2(e21,e20) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e23,e20) = e20 ) )
& ( ( op2(e20,e20) = e21 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e23) = e21 ) )
& ( ( op2(e20,e20) = e21 )
| ( op2(e21,e20) = e21 )
| ( op2(e22,e20) = e21 )
| ( op2(e23,e20) = e21 ) )
& ( ( op2(e20,e20) = e22 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e23) = e22 ) )
& ( ( op2(e20,e20) = e22 )
| ( op2(e21,e20) = e22 )
| ( op2(e22,e20) = e22 )
| ( op2(e23,e20) = e22 ) )
& ( ( op2(e20,e20) = e23 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e23) = e23 ) )
& ( ( op2(e20,e20) = e23 )
| ( op2(e21,e20) = e23 )
| ( op2(e22,e20) = e23 )
| ( op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e21,e23) = e20 ) )
& ( ( op2(e20,e21) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e23,e21) = e20 ) )
& ( ( op2(e21,e20) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e23) = e21 ) )
& ( ( op2(e20,e21) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e23,e21) = e21 ) )
& ( ( op2(e21,e20) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e23) = e22 ) )
& ( ( op2(e20,e21) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e23,e21) = e22 ) )
& ( ( op2(e21,e20) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e23) = e23 ) )
& ( ( op2(e20,e21) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e22,e23) = e20 ) )
& ( ( op2(e20,e22) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e23,e22) = e20 ) )
& ( ( op2(e22,e20) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e23) = e21 ) )
& ( ( op2(e20,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e23,e22) = e21 ) )
& ( ( op2(e22,e20) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e23) = e22 ) )
& ( ( op2(e20,e22) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e23,e22) = e22 ) )
& ( ( op2(e22,e20) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e23) = e23 ) )
& ( ( op2(e20,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e23,e23) = e20 ) )
& ( ( op2(e20,e23) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e23,e23) = e20 ) )
& ( ( op2(e23,e20) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e23) = e21 ) )
& ( ( op2(e20,e23) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e23,e23) = e21 ) )
& ( ( op2(e23,e20) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e23,e23) = e22 ) )
& ( ( op2(e23,e20) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e23) = e23 ) )
& ( ( op2(e20,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e23,e23) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f_1190,axiom,
( ( h2(e12) = e20 )
& ( h2(e13) = e22 )
& ( h2(e10) = op2(e20,e22) )
& ( h2(e11) = op2(op2(e20,e22),e22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
tff(f_1183,axiom,
( ( h1(e12) = e20 )
& ( h1(e13) = e21 )
& ( h1(e10) = op2(e20,e21) )
& ( h1(e11) = op2(op2(e20,e21),e21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
tff(f_1260,axiom,
( ( h12(e12) = e23 )
& ( h12(e13) = e22 )
& ( h12(e10) = op2(e23,e22) )
& ( h12(e11) = op2(op2(e23,e22),e22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
tff(f_1092,axiom,
( ( e10 != e11 )
& ( e10 != e12 )
& ( e10 != e13 )
& ( e11 != e12 )
& ( e11 != e13 )
& ( e12 != e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
tff(f_1163,axiom,
( ( op1(e10,e10) = e10 )
& ( op1(e11,e11) = e11 )
& ( op1(e12,e12) = e12 )
& ( op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
tff(f_932,axiom,
( ( op1(e10,e10) != op1(e11,e10) )
& ( op1(e10,e10) != op1(e12,e10) )
& ( op1(e10,e10) != op1(e13,e10) )
& ( op1(e11,e10) != op1(e12,e10) )
& ( op1(e11,e10) != op1(e13,e10) )
& ( op1(e12,e10) != op1(e13,e10) )
& ( op1(e10,e11) != op1(e11,e11) )
& ( op1(e10,e11) != op1(e12,e11) )
& ( op1(e10,e11) != op1(e13,e11) )
& ( op1(e11,e11) != op1(e12,e11) )
& ( op1(e11,e11) != op1(e13,e11) )
& ( op1(e12,e11) != op1(e13,e11) )
& ( op1(e10,e12) != op1(e11,e12) )
& ( op1(e10,e12) != op1(e12,e12) )
& ( op1(e10,e12) != op1(e13,e12) )
& ( op1(e11,e12) != op1(e12,e12) )
& ( op1(e11,e12) != op1(e13,e12) )
& ( op1(e12,e12) != op1(e13,e12) )
& ( op1(e10,e13) != op1(e11,e13) )
& ( op1(e10,e13) != op1(e12,e13) )
& ( op1(e10,e13) != op1(e13,e13) )
& ( op1(e11,e13) != op1(e12,e13) )
& ( op1(e11,e13) != op1(e13,e13) )
& ( op1(e12,e13) != op1(e13,e13) )
& ( op1(e10,e10) != op1(e10,e11) )
& ( op1(e10,e10) != op1(e10,e12) )
& ( op1(e10,e10) != op1(e10,e13) )
& ( op1(e10,e11) != op1(e10,e12) )
& ( op1(e10,e11) != op1(e10,e13) )
& ( op1(e10,e12) != op1(e10,e13) )
& ( op1(e11,e10) != op1(e11,e11) )
& ( op1(e11,e10) != op1(e11,e12) )
& ( op1(e11,e10) != op1(e11,e13) )
& ( op1(e11,e11) != op1(e11,e12) )
& ( op1(e11,e11) != op1(e11,e13) )
& ( op1(e11,e12) != op1(e11,e13) )
& ( op1(e12,e10) != op1(e12,e11) )
& ( op1(e12,e10) != op1(e12,e12) )
& ( op1(e12,e10) != op1(e12,e13) )
& ( op1(e12,e11) != op1(e12,e12) )
& ( op1(e12,e11) != op1(e12,e13) )
& ( op1(e12,e12) != op1(e12,e13) )
& ( op1(e13,e10) != op1(e13,e11) )
& ( op1(e13,e10) != op1(e13,e12) )
& ( op1(e13,e10) != op1(e13,e13) )
& ( op1(e13,e11) != op1(e13,e12) )
& ( op1(e13,e11) != op1(e13,e13) )
& ( op1(e13,e12) != op1(e13,e13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f_1173,axiom,
( ( e10 = op1(e12,e13) )
& ( e11 = op1(op1(e12,e13),e13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
tff(f_407,axiom,
( ( ( op1(e10,e10) = e10 )
| ( op1(e10,e11) = e10 )
| ( op1(e10,e12) = e10 )
| ( op1(e10,e13) = e10 ) )
& ( ( op1(e10,e10) = e10 )
| ( op1(e11,e10) = e10 )
| ( op1(e12,e10) = e10 )
| ( op1(e13,e10) = e10 ) )
& ( ( op1(e10,e10) = e11 )
| ( op1(e10,e11) = e11 )
| ( op1(e10,e12) = e11 )
| ( op1(e10,e13) = e11 ) )
& ( ( op1(e10,e10) = e11 )
| ( op1(e11,e10) = e11 )
| ( op1(e12,e10) = e11 )
| ( op1(e13,e10) = e11 ) )
& ( ( op1(e10,e10) = e12 )
| ( op1(e10,e11) = e12 )
| ( op1(e10,e12) = e12 )
| ( op1(e10,e13) = e12 ) )
& ( ( op1(e10,e10) = e12 )
| ( op1(e11,e10) = e12 )
| ( op1(e12,e10) = e12 )
| ( op1(e13,e10) = e12 ) )
& ( ( op1(e10,e10) = e13 )
| ( op1(e10,e11) = e13 )
| ( op1(e10,e12) = e13 )
| ( op1(e10,e13) = e13 ) )
& ( ( op1(e10,e10) = e13 )
| ( op1(e11,e10) = e13 )
| ( op1(e12,e10) = e13 )
| ( op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e11,e13) = e10 ) )
& ( ( op1(e10,e11) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e13,e11) = e10 ) )
& ( ( op1(e11,e10) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e13) = e11 ) )
& ( ( op1(e10,e11) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e13,e11) = e11 ) )
& ( ( op1(e11,e10) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e13) = e12 ) )
& ( ( op1(e10,e11) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e13,e11) = e12 ) )
& ( ( op1(e11,e10) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e11,e13) = e13 ) )
& ( ( op1(e10,e11) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e12,e13) = e10 ) )
& ( ( op1(e10,e12) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e13,e12) = e10 ) )
& ( ( op1(e12,e10) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e13) = e11 ) )
& ( ( op1(e10,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e13,e12) = e11 ) )
& ( ( op1(e12,e10) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e13) = e12 ) )
& ( ( op1(e10,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e13,e12) = e12 ) )
& ( ( op1(e12,e10) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e13) = e13 ) )
& ( ( op1(e10,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) = e10 )
| ( op1(e13,e11) = e10 )
| ( op1(e13,e12) = e10 )
| ( op1(e13,e13) = e10 ) )
& ( ( op1(e10,e13) = e10 )
| ( op1(e11,e13) = e10 )
| ( op1(e12,e13) = e10 )
| ( op1(e13,e13) = e10 ) )
& ( ( op1(e13,e10) = e11 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e13) = e11 ) )
& ( ( op1(e10,e13) = e11 )
| ( op1(e11,e13) = e11 )
| ( op1(e12,e13) = e11 )
| ( op1(e13,e13) = e11 ) )
& ( ( op1(e13,e10) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) = e12 )
| ( op1(e11,e13) = e12 )
| ( op1(e12,e13) = e12 )
| ( op1(e13,e13) = e12 ) )
& ( ( op1(e13,e10) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e13,e13) = e13 ) )
& ( ( op1(e10,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e13,e13) = e13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f_1232,axiom,
( ( h8(e12) = e22 )
& ( h8(e13) = e21 )
& ( h8(e10) = op2(e22,e21) )
& ( h8(e11) = op2(op2(e22,e21),e21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
tff(f_1253,axiom,
( ( h11(e12) = e23 )
& ( h11(e13) = e21 )
& ( h11(e10) = op2(e23,e21) )
& ( h11(e11) = op2(op2(e23,e21),e21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
tff(f_1225,axiom,
( ( h7(e12) = e22 )
& ( h7(e13) = e20 )
& ( h7(e10) = op2(e22,e20) )
& ( h7(e11) = op2(op2(e22,e20),e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
tff(f_1246,axiom,
( ( h10(e12) = e23 )
& ( h10(e13) = e20 )
& ( h10(e10) = op2(e23,e20) )
& ( h10(e11) = op2(op2(e23,e20),e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
tff(f_1239,axiom,
( ( h9(e12) = e22 )
& ( h9(e13) = e23 )
& ( h9(e10) = op2(e22,e23) )
& ( h9(e11) = op2(op2(e22,e23),e23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
tff(f_2028,negated_conjecture,
~ ( ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) )
& ( h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) )
& ( h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) )
& ( h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) )
& ( h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) )
& ( h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) )
& ( h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) )
& ( h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) )
& ( h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) )
& ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) )
& ( h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) )
& ( h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) )
& ( h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) )
& ( h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) )
& ( h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) )
& ( h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) )
& ( ( h1(e10) = e20 )
| ( h1(e11) = e20 )
| ( h1(e12) = e20 )
| ( h1(e13) = e20 ) )
& ( ( h1(e10) = e21 )
| ( h1(e11) = e21 )
| ( h1(e12) = e21 )
| ( h1(e13) = e21 ) )
& ( ( h1(e10) = e22 )
| ( h1(e11) = e22 )
| ( h1(e12) = e22 )
| ( h1(e13) = e22 ) )
& ( ( h1(e10) = e23 )
| ( h1(e11) = e23 )
| ( h1(e12) = e23 )
| ( h1(e13) = e23 ) ) )
| ( ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
& ( h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) )
& ( h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) )
& ( h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) )
& ( h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) )
& ( h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) )
& ( h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) )
& ( h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) )
& ( h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) )
& ( h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) )
& ( h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) )
& ( h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) )
& ( h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) )
& ( h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) )
& ( h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) )
& ( h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) )
& ( ( h2(e10) = e20 )
| ( h2(e11) = e20 )
| ( h2(e12) = e20 )
| ( h2(e13) = e20 ) )
& ( ( h2(e10) = e21 )
| ( h2(e11) = e21 )
| ( h2(e12) = e21 )
| ( h2(e13) = e21 ) )
& ( ( h2(e10) = e22 )
| ( h2(e11) = e22 )
| ( h2(e12) = e22 )
| ( h2(e13) = e22 ) )
& ( ( h2(e10) = e23 )
| ( h2(e11) = e23 )
| ( h2(e12) = e23 )
| ( h2(e13) = e23 ) ) )
| ( ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
& ( h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) )
& ( h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) )
& ( h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) )
& ( h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) )
& ( h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) )
& ( h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) )
& ( h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) )
& ( h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) )
& ( h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) )
& ( h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) )
& ( h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) )
& ( h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) )
& ( h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) )
& ( h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) )
& ( h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
& ( ( h3(e10) = e20 )
| ( h3(e11) = e20 )
| ( h3(e12) = e20 )
| ( h3(e13) = e20 ) )
& ( ( h3(e10) = e21 )
| ( h3(e11) = e21 )
| ( h3(e12) = e21 )
| ( h3(e13) = e21 ) )
& ( ( h3(e10) = e22 )
| ( h3(e11) = e22 )
| ( h3(e12) = e22 )
| ( h3(e13) = e22 ) )
& ( ( h3(e10) = e23 )
| ( h3(e11) = e23 )
| ( h3(e12) = e23 )
| ( h3(e13) = e23 ) ) )
| ( ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
& ( h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
& ( h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
& ( h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
& ( h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) )
& ( h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
& ( h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) )
& ( h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
& ( h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
& ( h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) )
& ( h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) )
& ( h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
& ( h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) )
& ( h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) )
& ( h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) )
& ( h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) )
& ( ( h4(e10) = e20 )
| ( h4(e11) = e20 )
| ( h4(e12) = e20 )
| ( h4(e13) = e20 ) )
& ( ( h4(e10) = e21 )
| ( h4(e11) = e21 )
| ( h4(e12) = e21 )
| ( h4(e13) = e21 ) )
& ( ( h4(e10) = e22 )
| ( h4(e11) = e22 )
| ( h4(e12) = e22 )
| ( h4(e13) = e22 ) )
& ( ( h4(e10) = e23 )
| ( h4(e11) = e23 )
| ( h4(e12) = e23 )
| ( h4(e13) = e23 ) ) )
| ( ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
& ( h5(op1(e10,e11)) = op2(h5(e10),h5(e11)) )
& ( h5(op1(e10,e12)) = op2(h5(e10),h5(e12)) )
& ( h5(op1(e10,e13)) = op2(h5(e10),h5(e13)) )
& ( h5(op1(e11,e10)) = op2(h5(e11),h5(e10)) )
& ( h5(op1(e11,e11)) = op2(h5(e11),h5(e11)) )
& ( h5(op1(e11,e12)) = op2(h5(e11),h5(e12)) )
& ( h5(op1(e11,e13)) = op2(h5(e11),h5(e13)) )
& ( h5(op1(e12,e10)) = op2(h5(e12),h5(e10)) )
& ( h5(op1(e12,e11)) = op2(h5(e12),h5(e11)) )
& ( h5(op1(e12,e12)) = op2(h5(e12),h5(e12)) )
& ( h5(op1(e12,e13)) = op2(h5(e12),h5(e13)) )
& ( h5(op1(e13,e10)) = op2(h5(e13),h5(e10)) )
& ( h5(op1(e13,e11)) = op2(h5(e13),h5(e11)) )
& ( h5(op1(e13,e12)) = op2(h5(e13),h5(e12)) )
& ( h5(op1(e13,e13)) = op2(h5(e13),h5(e13)) )
& ( ( h5(e10) = e20 )
| ( h5(e11) = e20 )
| ( h5(e12) = e20 )
| ( h5(e13) = e20 ) )
& ( ( h5(e10) = e21 )
| ( h5(e11) = e21 )
| ( h5(e12) = e21 )
| ( h5(e13) = e21 ) )
& ( ( h5(e10) = e22 )
| ( h5(e11) = e22 )
| ( h5(e12) = e22 )
| ( h5(e13) = e22 ) )
& ( ( h5(e10) = e23 )
| ( h5(e11) = e23 )
| ( h5(e12) = e23 )
| ( h5(e13) = e23 ) ) )
| ( ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10)) )
& ( h6(op1(e10,e11)) = op2(h6(e10),h6(e11)) )
& ( h6(op1(e10,e12)) = op2(h6(e10),h6(e12)) )
& ( h6(op1(e10,e13)) = op2(h6(e10),h6(e13)) )
& ( h6(op1(e11,e10)) = op2(h6(e11),h6(e10)) )
& ( h6(op1(e11,e11)) = op2(h6(e11),h6(e11)) )
& ( h6(op1(e11,e12)) = op2(h6(e11),h6(e12)) )
& ( h6(op1(e11,e13)) = op2(h6(e11),h6(e13)) )
& ( h6(op1(e12,e10)) = op2(h6(e12),h6(e10)) )
& ( h6(op1(e12,e11)) = op2(h6(e12),h6(e11)) )
& ( h6(op1(e12,e12)) = op2(h6(e12),h6(e12)) )
& ( h6(op1(e12,e13)) = op2(h6(e12),h6(e13)) )
& ( h6(op1(e13,e10)) = op2(h6(e13),h6(e10)) )
& ( h6(op1(e13,e11)) = op2(h6(e13),h6(e11)) )
& ( h6(op1(e13,e12)) = op2(h6(e13),h6(e12)) )
& ( h6(op1(e13,e13)) = op2(h6(e13),h6(e13)) )
& ( ( h6(e10) = e20 )
| ( h6(e11) = e20 )
| ( h6(e12) = e20 )
| ( h6(e13) = e20 ) )
& ( ( h6(e10) = e21 )
| ( h6(e11) = e21 )
| ( h6(e12) = e21 )
| ( h6(e13) = e21 ) )
& ( ( h6(e10) = e22 )
| ( h6(e11) = e22 )
| ( h6(e12) = e22 )
| ( h6(e13) = e22 ) )
& ( ( h6(e10) = e23 )
| ( h6(e11) = e23 )
| ( h6(e12) = e23 )
| ( h6(e13) = e23 ) ) )
| ( ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10)) )
& ( h7(op1(e10,e11)) = op2(h7(e10),h7(e11)) )
& ( h7(op1(e10,e12)) = op2(h7(e10),h7(e12)) )
& ( h7(op1(e10,e13)) = op2(h7(e10),h7(e13)) )
& ( h7(op1(e11,e10)) = op2(h7(e11),h7(e10)) )
& ( h7(op1(e11,e11)) = op2(h7(e11),h7(e11)) )
& ( h7(op1(e11,e12)) = op2(h7(e11),h7(e12)) )
& ( h7(op1(e11,e13)) = op2(h7(e11),h7(e13)) )
& ( h7(op1(e12,e10)) = op2(h7(e12),h7(e10)) )
& ( h7(op1(e12,e11)) = op2(h7(e12),h7(e11)) )
& ( h7(op1(e12,e12)) = op2(h7(e12),h7(e12)) )
& ( h7(op1(e12,e13)) = op2(h7(e12),h7(e13)) )
& ( h7(op1(e13,e10)) = op2(h7(e13),h7(e10)) )
& ( h7(op1(e13,e11)) = op2(h7(e13),h7(e11)) )
& ( h7(op1(e13,e12)) = op2(h7(e13),h7(e12)) )
& ( h7(op1(e13,e13)) = op2(h7(e13),h7(e13)) )
& ( ( h7(e10) = e20 )
| ( h7(e11) = e20 )
| ( h7(e12) = e20 )
| ( h7(e13) = e20 ) )
& ( ( h7(e10) = e21 )
| ( h7(e11) = e21 )
| ( h7(e12) = e21 )
| ( h7(e13) = e21 ) )
& ( ( h7(e10) = e22 )
| ( h7(e11) = e22 )
| ( h7(e12) = e22 )
| ( h7(e13) = e22 ) )
& ( ( h7(e10) = e23 )
| ( h7(e11) = e23 )
| ( h7(e12) = e23 )
| ( h7(e13) = e23 ) ) )
| ( ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) )
& ( h8(op1(e10,e11)) = op2(h8(e10),h8(e11)) )
& ( h8(op1(e10,e12)) = op2(h8(e10),h8(e12)) )
& ( h8(op1(e10,e13)) = op2(h8(e10),h8(e13)) )
& ( h8(op1(e11,e10)) = op2(h8(e11),h8(e10)) )
& ( h8(op1(e11,e11)) = op2(h8(e11),h8(e11)) )
& ( h8(op1(e11,e12)) = op2(h8(e11),h8(e12)) )
& ( h8(op1(e11,e13)) = op2(h8(e11),h8(e13)) )
& ( h8(op1(e12,e10)) = op2(h8(e12),h8(e10)) )
& ( h8(op1(e12,e11)) = op2(h8(e12),h8(e11)) )
& ( h8(op1(e12,e12)) = op2(h8(e12),h8(e12)) )
& ( h8(op1(e12,e13)) = op2(h8(e12),h8(e13)) )
& ( h8(op1(e13,e10)) = op2(h8(e13),h8(e10)) )
& ( h8(op1(e13,e11)) = op2(h8(e13),h8(e11)) )
& ( h8(op1(e13,e12)) = op2(h8(e13),h8(e12)) )
& ( h8(op1(e13,e13)) = op2(h8(e13),h8(e13)) )
& ( ( h8(e10) = e20 )
| ( h8(e11) = e20 )
| ( h8(e12) = e20 )
| ( h8(e13) = e20 ) )
& ( ( h8(e10) = e21 )
| ( h8(e11) = e21 )
| ( h8(e12) = e21 )
| ( h8(e13) = e21 ) )
& ( ( h8(e10) = e22 )
| ( h8(e11) = e22 )
| ( h8(e12) = e22 )
| ( h8(e13) = e22 ) )
& ( ( h8(e10) = e23 )
| ( h8(e11) = e23 )
| ( h8(e12) = e23 )
| ( h8(e13) = e23 ) ) )
| ( ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) )
& ( h9(op1(e10,e11)) = op2(h9(e10),h9(e11)) )
& ( h9(op1(e10,e12)) = op2(h9(e10),h9(e12)) )
& ( h9(op1(e10,e13)) = op2(h9(e10),h9(e13)) )
& ( h9(op1(e11,e10)) = op2(h9(e11),h9(e10)) )
& ( h9(op1(e11,e11)) = op2(h9(e11),h9(e11)) )
& ( h9(op1(e11,e12)) = op2(h9(e11),h9(e12)) )
& ( h9(op1(e11,e13)) = op2(h9(e11),h9(e13)) )
& ( h9(op1(e12,e10)) = op2(h9(e12),h9(e10)) )
& ( h9(op1(e12,e11)) = op2(h9(e12),h9(e11)) )
& ( h9(op1(e12,e12)) = op2(h9(e12),h9(e12)) )
& ( h9(op1(e12,e13)) = op2(h9(e12),h9(e13)) )
& ( h9(op1(e13,e10)) = op2(h9(e13),h9(e10)) )
& ( h9(op1(e13,e11)) = op2(h9(e13),h9(e11)) )
& ( h9(op1(e13,e12)) = op2(h9(e13),h9(e12)) )
& ( h9(op1(e13,e13)) = op2(h9(e13),h9(e13)) )
& ( ( h9(e10) = e20 )
| ( h9(e11) = e20 )
| ( h9(e12) = e20 )
| ( h9(e13) = e20 ) )
& ( ( h9(e10) = e21 )
| ( h9(e11) = e21 )
| ( h9(e12) = e21 )
| ( h9(e13) = e21 ) )
& ( ( h9(e10) = e22 )
| ( h9(e11) = e22 )
| ( h9(e12) = e22 )
| ( h9(e13) = e22 ) )
& ( ( h9(e10) = e23 )
| ( h9(e11) = e23 )
| ( h9(e12) = e23 )
| ( h9(e13) = e23 ) ) )
| ( ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10)) )
& ( h10(op1(e10,e11)) = op2(h10(e10),h10(e11)) )
& ( h10(op1(e10,e12)) = op2(h10(e10),h10(e12)) )
& ( h10(op1(e10,e13)) = op2(h10(e10),h10(e13)) )
& ( h10(op1(e11,e10)) = op2(h10(e11),h10(e10)) )
& ( h10(op1(e11,e11)) = op2(h10(e11),h10(e11)) )
& ( h10(op1(e11,e12)) = op2(h10(e11),h10(e12)) )
& ( h10(op1(e11,e13)) = op2(h10(e11),h10(e13)) )
& ( h10(op1(e12,e10)) = op2(h10(e12),h10(e10)) )
& ( h10(op1(e12,e11)) = op2(h10(e12),h10(e11)) )
& ( h10(op1(e12,e12)) = op2(h10(e12),h10(e12)) )
& ( h10(op1(e12,e13)) = op2(h10(e12),h10(e13)) )
& ( h10(op1(e13,e10)) = op2(h10(e13),h10(e10)) )
& ( h10(op1(e13,e11)) = op2(h10(e13),h10(e11)) )
& ( h10(op1(e13,e12)) = op2(h10(e13),h10(e12)) )
& ( h10(op1(e13,e13)) = op2(h10(e13),h10(e13)) )
& ( ( h10(e10) = e20 )
| ( h10(e11) = e20 )
| ( h10(e12) = e20 )
| ( h10(e13) = e20 ) )
& ( ( h10(e10) = e21 )
| ( h10(e11) = e21 )
| ( h10(e12) = e21 )
| ( h10(e13) = e21 ) )
& ( ( h10(e10) = e22 )
| ( h10(e11) = e22 )
| ( h10(e12) = e22 )
| ( h10(e13) = e22 ) )
& ( ( h10(e10) = e23 )
| ( h10(e11) = e23 )
| ( h10(e12) = e23 )
| ( h10(e13) = e23 ) ) )
| ( ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10)) )
& ( h11(op1(e10,e11)) = op2(h11(e10),h11(e11)) )
& ( h11(op1(e10,e12)) = op2(h11(e10),h11(e12)) )
& ( h11(op1(e10,e13)) = op2(h11(e10),h11(e13)) )
& ( h11(op1(e11,e10)) = op2(h11(e11),h11(e10)) )
& ( h11(op1(e11,e11)) = op2(h11(e11),h11(e11)) )
& ( h11(op1(e11,e12)) = op2(h11(e11),h11(e12)) )
& ( h11(op1(e11,e13)) = op2(h11(e11),h11(e13)) )
& ( h11(op1(e12,e10)) = op2(h11(e12),h11(e10)) )
& ( h11(op1(e12,e11)) = op2(h11(e12),h11(e11)) )
& ( h11(op1(e12,e12)) = op2(h11(e12),h11(e12)) )
& ( h11(op1(e12,e13)) = op2(h11(e12),h11(e13)) )
& ( h11(op1(e13,e10)) = op2(h11(e13),h11(e10)) )
& ( h11(op1(e13,e11)) = op2(h11(e13),h11(e11)) )
& ( h11(op1(e13,e12)) = op2(h11(e13),h11(e12)) )
& ( h11(op1(e13,e13)) = op2(h11(e13),h11(e13)) )
& ( ( h11(e10) = e20 )
| ( h11(e11) = e20 )
| ( h11(e12) = e20 )
| ( h11(e13) = e20 ) )
& ( ( h11(e10) = e21 )
| ( h11(e11) = e21 )
| ( h11(e12) = e21 )
| ( h11(e13) = e21 ) )
& ( ( h11(e10) = e22 )
| ( h11(e11) = e22 )
| ( h11(e12) = e22 )
| ( h11(e13) = e22 ) )
& ( ( h11(e10) = e23 )
| ( h11(e11) = e23 )
| ( h11(e12) = e23 )
| ( h11(e13) = e23 ) ) )
| ( ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
& ( h12(op1(e10,e11)) = op2(h12(e10),h12(e11)) )
& ( h12(op1(e10,e12)) = op2(h12(e10),h12(e12)) )
& ( h12(op1(e10,e13)) = op2(h12(e10),h12(e13)) )
& ( h12(op1(e11,e10)) = op2(h12(e11),h12(e10)) )
& ( h12(op1(e11,e11)) = op2(h12(e11),h12(e11)) )
& ( h12(op1(e11,e12)) = op2(h12(e11),h12(e12)) )
& ( h12(op1(e11,e13)) = op2(h12(e11),h12(e13)) )
& ( h12(op1(e12,e10)) = op2(h12(e12),h12(e10)) )
& ( h12(op1(e12,e11)) = op2(h12(e12),h12(e11)) )
& ( h12(op1(e12,e12)) = op2(h12(e12),h12(e12)) )
& ( h12(op1(e12,e13)) = op2(h12(e12),h12(e13)) )
& ( h12(op1(e13,e10)) = op2(h12(e13),h12(e10)) )
& ( h12(op1(e13,e11)) = op2(h12(e13),h12(e11)) )
& ( h12(op1(e13,e12)) = op2(h12(e13),h12(e12)) )
& ( h12(op1(e13,e13)) = op2(h12(e13),h12(e13)) )
& ( ( h12(e10) = e20 )
| ( h12(e11) = e20 )
| ( h12(e12) = e20 )
| ( h12(e13) = e20 ) )
& ( ( h12(e10) = e21 )
| ( h12(e11) = e21 )
| ( h12(e12) = e21 )
| ( h12(e13) = e21 ) )
& ( ( h12(e10) = e22 )
| ( h12(e11) = e22 )
| ( h12(e12) = e22 )
| ( h12(e13) = e22 ) )
& ( ( h12(e10) = e23 )
| ( h12(e11) = e23 )
| ( h12(e12) = e23 )
| ( h12(e13) = e23 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(c_492,plain,
op2(e21,e20) = h4(e10),
inference(cnfTransformation,[status(thm)],[f_1204]) ).
tff(c_456,plain,
op2(e20,e20) = e20,
inference(cnfTransformation,[status(thm)],[f_1170]) ).
tff(c_384,plain,
op2(e21,e20) != op2(e20,e20),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_14922,plain,
h4(e10) != e20,
inference(demodulation,[status(thm),theory(equality)],[c_492,c_456,c_384]) ).
tff(c_408,plain,
e21 != e20,
inference(cnfTransformation,[status(thm)],[f_1109]) ).
tff(c_464,plain,
op2(e22,e23) = e20,
inference(cnfTransformation,[status(thm)],[f_1176]) ).
tff(c_484,plain,
op2(e20,e23) = h3(e10),
inference(cnfTransformation,[status(thm)],[f_1197]) ).
tff(c_462,plain,
op2(op2(e22,e23),e23) = e21,
inference(cnfTransformation,[status(thm)],[f_1176]) ).
tff(c_12452,plain,
h3(e10) = e21,
inference(demodulation,[status(thm),theory(equality)],[c_484,c_464,c_462]) ).
tff(c_482,plain,
op2(op2(e20,e23),e23) = h3(e11),
inference(cnfTransformation,[status(thm)],[f_1197]) ).
tff(c_11338,plain,
op2(h3(e10),e23) = h3(e11),
inference(demodulation,[status(thm),theory(equality)],[c_484,c_482]) ).
tff(c_12454,plain,
op2(e21,e23) = h3(e11),
inference(demodulation,[status(thm),theory(equality)],[c_12452,c_11338]) ).
tff(c_342,plain,
op2(e22,e23) != op2(e21,e23),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_14943,plain,
h3(e11) != e20,
inference(demodulation,[status(thm),theory(equality)],[c_464,c_12454,c_342]) ).
tff(c_454,plain,
op2(e21,e21) = e21,
inference(cnfTransformation,[status(thm)],[f_1170]) ).
tff(c_500,plain,
op2(e21,e22) = h5(e10),
inference(cnfTransformation,[status(thm)],[f_1211]) ).
tff(c_176,plain,
( ( op2(e21,e23) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e21,e20) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_789]) ).
tff(c_15082,plain,
( ( h3(e11) = e20 )
| ( h5(e10) = e20 )
| ( e21 = e20 )
| ( h4(e10) = e20 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_492,c_454,c_500,c_12454,c_176]) ).
tff(c_15083,plain,
h5(e10) = e20,
inference(negUnitSimplification,[status(thm)],[c_14922,c_408,c_14943,c_15082]) ).
tff(c_15088,plain,
op2(e21,e22) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_15083,c_500]) ).
tff(c_400,plain,
e23 != e21,
inference(cnfTransformation,[status(thm)],[f_1109]) ).
tff(c_402,plain,
e22 != e21,
inference(cnfTransformation,[status(thm)],[f_1109]) ).
tff(c_404,plain,
e23 != e20,
inference(cnfTransformation,[status(thm)],[f_1109]) ).
tff(c_398,plain,
e23 != e22,
inference(cnfTransformation,[status(thm)],[f_1109]) ).
tff(c_406,plain,
e22 != e20,
inference(cnfTransformation,[status(thm)],[f_1109]) ).
tff(c_452,plain,
op2(e22,e22) = e22,
inference(cnfTransformation,[status(thm)],[f_1170]) ).
tff(c_476,plain,
op2(e20,e22) = h2(e10),
inference(cnfTransformation,[status(thm)],[f_1190]) ).
tff(c_358,plain,
op2(e22,e22) != op2(e20,e22),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_14935,plain,
h2(e10) != e22,
inference(demodulation,[status(thm),theory(equality)],[c_452,c_476,c_358]) ).
tff(c_468,plain,
op2(e20,e21) = h1(e10),
inference(cnfTransformation,[status(thm)],[f_1183]) ).
tff(c_12455,plain,
op2(e20,e23) = e21,
inference(demodulation,[status(thm),theory(equality)],[c_12452,c_484]) ).
tff(c_184,plain,
( ( op2(e20,e23) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnfTransformation,[status(thm)],[f_789]) ).
tff(c_15009,plain,
( ( e22 = e21 )
| ( h2(e10) = e22 )
| ( h1(e10) = e22 )
| ( e22 = e20 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_456,c_468,c_476,c_12455,c_184]) ).
tff(c_15010,plain,
h1(e10) = e22,
inference(negUnitSimplification,[status(thm)],[c_406,c_14935,c_402,c_15009]) ).
tff(c_15018,plain,
op2(e20,e21) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_15010,c_468]) ).
tff(c_180,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e20) = e23 ) ),
inference(cnfTransformation,[status(thm)],[f_789]) ).
tff(c_15055,plain,
( ( e23 = e21 )
| ( h2(e10) = e23 )
| ( e23 = e22 )
| ( e23 = e20 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_456,c_15018,c_476,c_12455,c_180]) ).
tff(c_15056,plain,
h2(e10) = e23,
inference(negUnitSimplification,[status(thm)],[c_404,c_398,c_400,c_15055]) ).
tff(c_15061,plain,
op2(e20,e22) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_15056,c_476]) ).
tff(c_556,plain,
op2(e23,e22) = h12(e10),
inference(cnfTransformation,[status(thm)],[f_1260]) ).
tff(c_154,plain,
( ( op2(e23,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(cnfTransformation,[status(thm)],[f_789]) ).
tff(c_15284,plain,
( ( h12(e10) = e21 )
| ( e22 = e21 )
| ( e21 = e20 )
| ( e23 = e21 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15061,c_15088,c_452,c_556,c_154]) ).
tff(c_15285,plain,
h12(e10) = e21,
inference(negUnitSimplification,[status(thm)],[c_400,c_408,c_402,c_15284]) ).
tff(c_554,plain,
op2(op2(e23,e22),e22) = h12(e11),
inference(cnfTransformation,[status(thm)],[f_1260]) ).
tff(c_7121,plain,
op2(h12(e10),e22) = h12(e11),
inference(demodulation,[status(thm),theory(equality)],[c_556,c_554]) ).
tff(c_15289,plain,
op2(e21,e22) = h12(e11),
inference(demodulation,[status(thm),theory(equality)],[c_15285,c_7121]) ).
tff(c_15307,plain,
h12(e11) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_15088,c_15289]) ).
tff(c_388,plain,
e13 != e11,
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_396,plain,
e11 != e10,
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_390,plain,
e12 != e11,
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_392,plain,
e13 != e10,
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_386,plain,
e13 != e12,
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_448,plain,
op1(e10,e10) = e10,
inference(cnfTransformation,[status(thm)],[f_1163]) ).
tff(c_394,plain,
e12 != e10,
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_444,plain,
op1(e12,e12) = e12,
inference(cnfTransformation,[status(thm)],[f_1163]) ).
tff(c_262,plain,
op1(e12,e12) != op1(e10,e12),
inference(cnfTransformation,[status(thm)],[f_932]) ).
tff(c_14976,plain,
op1(e10,e12) != e12,
inference(demodulation,[status(thm),theory(equality)],[c_444,c_262]) ).
tff(c_460,plain,
op1(e12,e13) = e10,
inference(cnfTransformation,[status(thm)],[f_1173]) ).
tff(c_458,plain,
op1(op1(e12,e13),e13) = e11,
inference(cnfTransformation,[status(thm)],[f_1173]) ).
tff(c_12906,plain,
op1(e10,e13) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_460,c_458]) ).
tff(c_88,plain,
( ( op1(e10,e13) = e12 )
| ( op1(e10,e12) = e12 )
| ( op1(e10,e11) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_15378,plain,
( ( e12 = e11 )
| ( op1(e10,e12) = e12 )
| ( op1(e10,e11) = e12 )
| ( e12 = e10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_448,c_12906,c_88]) ).
tff(c_15379,plain,
op1(e10,e11) = e12,
inference(negUnitSimplification,[status(thm)],[c_394,c_14976,c_390,c_15378]) ).
tff(c_84,plain,
( ( op1(e10,e13) = e13 )
| ( op1(e10,e12) = e13 )
| ( op1(e10,e11) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_15423,plain,
( ( e13 = e11 )
| ( op1(e10,e12) = e13 )
| ( e13 = e12 )
| ( e13 = e10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_448,c_15379,c_12906,c_84]) ).
tff(c_15424,plain,
op1(e10,e12) = e13,
inference(negUnitSimplification,[status(thm)],[c_392,c_386,c_388,c_15423]) ).
tff(c_288,plain,
op1(e11,e10) != op1(e10,e10),
inference(cnfTransformation,[status(thm)],[f_932]) ).
tff(c_14970,plain,
op1(e11,e10) != e10,
inference(demodulation,[status(thm),theory(equality)],[c_448,c_288]) ).
tff(c_246,plain,
op1(e12,e13) != op1(e11,e13),
inference(cnfTransformation,[status(thm)],[f_932]) ).
tff(c_14982,plain,
op1(e11,e13) != e10,
inference(demodulation,[status(thm),theory(equality)],[c_460,c_246]) ).
tff(c_446,plain,
op1(e11,e11) = e11,
inference(cnfTransformation,[status(thm)],[f_1163]) ).
tff(c_80,plain,
( ( op1(e11,e13) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_15468,plain,
( ( op1(e11,e13) = e10 )
| ( op1(e11,e12) = e10 )
| ( e11 = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_446,c_80]) ).
tff(c_15469,plain,
op1(e11,e12) = e10,
inference(negUnitSimplification,[status(thm)],[c_14970,c_396,c_14982,c_15468]) ).
tff(c_58,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_15708,plain,
( ( op1(e13,e12) = e11 )
| ( e12 = e11 )
| ( e11 = e10 )
| ( e13 = e11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15424,c_15469,c_444,c_58]) ).
tff(c_15709,plain,
op1(e13,e12) = e11,
inference(negUnitSimplification,[status(thm)],[c_388,c_396,c_390,c_15708]) ).
tff(c_558,plain,
h12(e13) = e22,
inference(cnfTransformation,[status(thm)],[f_1260]) ).
tff(c_208,plain,
op1(e12,e13) != op1(e12,e11),
inference(cnfTransformation,[status(thm)],[f_932]) ).
tff(c_14996,plain,
op1(e12,e11) != e10,
inference(demodulation,[status(thm),theory(equality)],[c_460,c_208]) ).
tff(c_78,plain,
( ( op1(e13,e11) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e11) = e10 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_15512,plain,
( ( op1(e13,e11) = e10 )
| ( op1(e12,e11) = e10 )
| ( e11 = e10 )
| ( e12 = e10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15379,c_446,c_78]) ).
tff(c_15513,plain,
op1(e13,e11) = e10,
inference(negUnitSimplification,[status(thm)],[c_394,c_396,c_14996,c_15512]) ).
tff(c_66,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_15661,plain,
( ( e13 = e10 )
| ( op1(e12,e11) = e13 )
| ( e13 = e11 )
| ( e13 = e12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15379,c_446,c_15513,c_66]) ).
tff(c_15662,plain,
op1(e12,e11) = e13,
inference(negUnitSimplification,[status(thm)],[c_386,c_388,c_392,c_15661]) ).
tff(c_560,plain,
h12(e12) = e23,
inference(cnfTransformation,[status(thm)],[f_1260]) ).
tff(c_442,plain,
op1(e13,e13) = e13,
inference(cnfTransformation,[status(thm)],[f_1163]) ).
tff(c_244,plain,
op1(e13,e13) != op1(e11,e13),
inference(cnfTransformation,[status(thm)],[f_932]) ).
tff(c_14983,plain,
op1(e11,e13) != e13,
inference(demodulation,[status(thm),theory(equality)],[c_442,c_244]) ).
tff(c_68,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e11,e10) = e13 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_15564,plain,
( ( op1(e11,e13) = e13 )
| ( e13 = e10 )
| ( e13 = e11 )
| ( op1(e11,e10) = e13 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_446,c_15469,c_68]) ).
tff(c_15565,plain,
op1(e11,e10) = e13,
inference(negUnitSimplification,[status(thm)],[c_388,c_392,c_14983,c_15564]) ).
tff(c_214,plain,
op1(e12,e12) != op1(e12,e10),
inference(cnfTransformation,[status(thm)],[f_932]) ).
tff(c_14993,plain,
op1(e12,e10) != e12,
inference(demodulation,[status(thm),theory(equality)],[c_444,c_214]) ).
tff(c_86,plain,
( ( op1(e13,e10) = e12 )
| ( op1(e12,e10) = e12 )
| ( op1(e11,e10) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_15421,plain,
( ( op1(e13,e10) = e12 )
| ( op1(e12,e10) = e12 )
| ( op1(e11,e10) = e12 )
| ( e12 = e10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_448,c_86]) ).
tff(c_15422,plain,
( ( op1(e13,e10) = e12 )
| ( op1(e11,e10) = e12 ) ),
inference(negUnitSimplification,[status(thm)],[c_394,c_14993,c_15421]) ).
tff(c_15571,plain,
( ( op1(e13,e10) = e12 )
| ( e13 = e12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15565,c_15422]) ).
tff(c_15586,plain,
op1(e13,e10) = e12,
inference(negUnitSimplification,[status(thm)],[c_386,c_15571]) ).
tff(c_228,plain,
op1(e11,e11) != op1(e11,e10),
inference(cnfTransformation,[status(thm)],[f_932]) ).
tff(c_14990,plain,
op1(e11,e10) != e11,
inference(demodulation,[status(thm),theory(equality)],[c_446,c_228]) ).
tff(c_90,plain,
( ( op1(e13,e10) = e11 )
| ( op1(e12,e10) = e11 )
| ( op1(e11,e10) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_15376,plain,
( ( op1(e13,e10) = e11 )
| ( op1(e12,e10) = e11 )
| ( op1(e11,e10) = e11 )
| ( e11 = e10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_448,c_90]) ).
tff(c_15377,plain,
( ( op1(e13,e10) = e11 )
| ( op1(e12,e10) = e11 ) ),
inference(negUnitSimplification,[status(thm)],[c_396,c_14990,c_15376]) ).
tff(c_15591,plain,
( ( e12 = e11 )
| ( op1(e12,e10) = e11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15586,c_15377]) ).
tff(c_15632,plain,
op1(e12,e10) = e11,
inference(negUnitSimplification,[status(thm)],[c_390,c_15591]) ).
tff(c_72,plain,
( ( op1(e11,e13) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e10) = e12 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_15560,plain,
( ( op1(e11,e13) = e12 )
| ( e12 = e10 )
| ( e12 = e11 )
| ( op1(e11,e10) = e12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_446,c_15469,c_72]) ).
tff(c_15561,plain,
( ( op1(e11,e13) = e12 )
| ( op1(e11,e10) = e12 ) ),
inference(negUnitSimplification,[status(thm)],[c_390,c_394,c_15560]) ).
tff(c_15585,plain,
( ( op1(e11,e13) = e12 )
| ( e13 = e12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15565,c_15561]) ).
tff(c_15616,plain,
op1(e11,e13) = e12,
inference(negUnitSimplification,[status(thm)],[c_386,c_15585]) ).
tff(c_450,plain,
op2(e23,e23) = e23,
inference(cnfTransformation,[status(thm)],[f_1170]) ).
tff(c_340,plain,
op2(e23,e23) != op2(e21,e23),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_14944,plain,
h3(e11) != e23,
inference(demodulation,[status(thm),theory(equality)],[c_12454,c_450,c_340]) ).
tff(c_164,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e20) = e23 ) ),
inference(cnfTransformation,[status(thm)],[f_789]) ).
tff(c_15135,plain,
( ( h3(e11) = e23 )
| ( e23 = e20 )
| ( e23 = e21 )
| ( h4(e10) = e23 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_492,c_454,c_15088,c_12454,c_164]) ).
tff(c_15136,plain,
h4(e10) = e23,
inference(negUnitSimplification,[status(thm)],[c_400,c_404,c_14944,c_15135]) ).
tff(c_15141,plain,
op2(e21,e20) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_15136,c_492]) ).
tff(c_168,plain,
( ( op2(e21,e23) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e20) = e22 ) ),
inference(cnfTransformation,[status(thm)],[f_789]) ).
tff(c_15131,plain,
( ( h3(e11) = e22 )
| ( e22 = e20 )
| ( e22 = e21 )
| ( h4(e10) = e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_492,c_454,c_15088,c_12454,c_168]) ).
tff(c_15132,plain,
( ( h3(e11) = e22 )
| ( h4(e10) = e22 ) ),
inference(negUnitSimplification,[status(thm)],[c_402,c_406,c_15131]) ).
tff(c_15157,plain,
( ( h3(e11) = e22 )
| ( e23 = e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15136,c_15132]) ).
tff(c_15186,plain,
h3(e11) = e22,
inference(negUnitSimplification,[status(thm)],[c_398,c_15157]) ).
tff(c_15191,plain,
op2(e21,e23) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_15186,c_12454]) ).
tff(c_466,plain,
op2(op2(e20,e21),e21) = h1(e11),
inference(cnfTransformation,[status(thm)],[f_1183]) ).
tff(c_12364,plain,
op2(h1(e10),e21) = h1(e11),
inference(demodulation,[status(thm),theory(equality)],[c_468,c_466]) ).
tff(c_15014,plain,
op2(e22,e21) = h1(e11),
inference(demodulation,[status(thm),theory(equality)],[c_15010,c_12364]) ).
tff(c_524,plain,
op2(e22,e21) = h8(e10),
inference(cnfTransformation,[status(thm)],[f_1232]) ).
tff(c_15030,plain,
h8(e10) = h1(e11),
inference(demodulation,[status(thm),theory(equality)],[c_15014,c_524]) ).
tff(c_304,plain,
op2(e22,e23) != op2(e22,e21),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_14962,plain,
h8(e10) != e20,
inference(demodulation,[status(thm),theory(equality)],[c_524,c_464,c_304]) ).
tff(c_15044,plain,
h1(e11) != e20,
inference(demodulation,[status(thm),theory(equality)],[c_15030,c_14962]) ).
tff(c_548,plain,
op2(e23,e21) = h11(e10),
inference(cnfTransformation,[status(thm)],[f_1253]) ).
tff(c_174,plain,
( ( op2(e23,e21) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_789]) ).
tff(c_15104,plain,
( ( h11(e10) = e20 )
| ( h1(e11) = e20 )
| ( e21 = e20 )
| ( e22 = e20 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15018,c_454,c_15014,c_548,c_174]) ).
tff(c_15105,plain,
h11(e10) = e20,
inference(negUnitSimplification,[status(thm)],[c_406,c_408,c_15044,c_15104]) ).
tff(c_15111,plain,
op2(e23,e21) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_15105,c_548]) ).
tff(c_516,plain,
op2(e22,e20) = h7(e10),
inference(cnfTransformation,[status(thm)],[f_1225]) ).
tff(c_310,plain,
op2(e22,e22) != op2(e22,e20),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_14959,plain,
h7(e10) != e22,
inference(demodulation,[status(thm),theory(equality)],[c_516,c_452,c_310]) ).
tff(c_540,plain,
op2(e23,e20) = h10(e10),
inference(cnfTransformation,[status(thm)],[f_1246]) ).
tff(c_182,plain,
( ( op2(e23,e20) = e22 )
| ( op2(e22,e20) = e22 )
| ( op2(e21,e20) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnfTransformation,[status(thm)],[f_789]) ).
tff(c_15053,plain,
( ( h10(e10) = e22 )
| ( h7(e10) = e22 )
| ( h4(e10) = e22 )
| ( e22 = e20 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_456,c_492,c_516,c_540,c_182]) ).
tff(c_15054,plain,
( ( h10(e10) = e22 )
| ( h4(e10) = e22 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_14959,c_15053]) ).
tff(c_15139,plain,
( ( h10(e10) = e22 )
| ( e23 = e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15136,c_15054]) ).
tff(c_15158,plain,
h10(e10) = e22,
inference(negUnitSimplification,[status(thm)],[c_398,c_15139]) ).
tff(c_15162,plain,
op2(e23,e20) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_15158,c_540]) ).
tff(c_162,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(cnfTransformation,[status(thm)],[f_789]) ).
tff(c_15250,plain,
( ( e23 = e20 )
| ( h1(e11) = e23 )
| ( e23 = e21 )
| ( e23 = e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15018,c_454,c_15014,c_15111,c_162]) ).
tff(c_15251,plain,
h1(e11) = e23,
inference(negUnitSimplification,[status(thm)],[c_398,c_400,c_404,c_15250]) ).
tff(c_15255,plain,
op2(e22,e21) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_15251,c_15014]) ).
tff(c_324,plain,
op2(e21,e21) != op2(e21,e20),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_14952,plain,
h4(e10) != e21,
inference(demodulation,[status(thm),theory(equality)],[c_492,c_454,c_324]) ).
tff(c_186,plain,
( ( op2(e23,e20) = e21 )
| ( op2(e22,e20) = e21 )
| ( op2(e21,e20) = e21 )
| ( op2(e20,e20) = e21 ) ),
inference(cnfTransformation,[status(thm)],[f_789]) ).
tff(c_15007,plain,
( ( h10(e10) = e21 )
| ( h7(e10) = e21 )
| ( h4(e10) = e21 )
| ( e21 = e20 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_456,c_492,c_516,c_540,c_186]) ).
tff(c_15008,plain,
( ( h10(e10) = e21 )
| ( h7(e10) = e21 ) ),
inference(negUnitSimplification,[status(thm)],[c_408,c_14952,c_15007]) ).
tff(c_15171,plain,
( ( e22 = e21 )
| ( h7(e10) = e21 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15158,c_15008]) ).
tff(c_15212,plain,
h7(e10) = e21,
inference(negUnitSimplification,[status(thm)],[c_402,c_15171]) ).
tff(c_538,plain,
op2(op2(e23,e20),e20) = h10(e11),
inference(cnfTransformation,[status(thm)],[f_1246]) ).
tff(c_7987,plain,
op2(h10(e10),e20) = h10(e11),
inference(demodulation,[status(thm),theory(equality)],[c_540,c_538]) ).
tff(c_15161,plain,
op2(e22,e20) = h10(e11),
inference(demodulation,[status(thm),theory(equality)],[c_15158,c_7987]) ).
tff(c_15202,plain,
h7(e10) = h10(e11),
inference(demodulation,[status(thm),theory(equality)],[c_15161,c_516]) ).
tff(c_15233,plain,
h10(e11) = e21,
inference(demodulation,[status(thm),theory(equality)],[c_15212,c_15202]) ).
tff(c_15234,plain,
op2(e22,e20) = e21,
inference(demodulation,[status(thm),theory(equality)],[c_15233,c_15161]) ).
tff(c_532,plain,
op2(e22,e23) = h9(e10),
inference(cnfTransformation,[status(thm)],[f_1239]) ).
tff(c_12381,plain,
h9(e10) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_464,c_532]) ).
tff(c_718,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(e13) != e22 )
| ( h12(e12) != e23 )
| ( op2(h12(e13),h12(e13)) != h12(op1(e13,e13)) )
| ( op2(h12(e13),h12(e12)) != h12(op1(e13,e12)) )
| ( op2(h12(e13),h12(e11)) != h12(op1(e13,e11)) )
| ( op2(h12(e13),h12(e10)) != h12(op1(e13,e10)) )
| ( op2(h12(e12),h12(e13)) != h12(op1(e12,e13)) )
| ( op2(h12(e12),h12(e12)) != h12(op1(e12,e12)) )
| ( op2(h12(e12),h12(e11)) != h12(op1(e12,e11)) )
| ( op2(h12(e12),h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),h12(e13)) != h12(op1(e11,e13)) )
| ( op2(h12(e11),h12(e12)) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),h12(e13)) != h12(op1(e10,e13)) )
| ( op2(h12(e10),h12(e12)) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(op1(e10,e10)) ) ),
inference(cnfTransformation,[status(thm)],[f_2028]) ).
tff(c_6932,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(e13) != e22 )
| ( op2(h12(e13),h12(e13)) != h12(op1(e13,e13)) )
| ( op2(h12(e13),e23) != h12(op1(e13,e12)) )
| ( op2(h12(e13),h12(e11)) != h12(op1(e13,e11)) )
| ( op2(h12(e13),h12(e10)) != h12(op1(e13,e10)) )
| ( op2(e23,h12(e13)) != h12(op1(e12,e13)) )
| ( h12(op1(e12,e12)) != op2(e23,e23) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),h12(e13)) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),h12(e13)) != h12(op1(e10,e13)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(op1(e10,e10)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_560,c_560,c_560,c_560,c_560,c_560,c_560,c_560,c_560,c_718]) ).
tff(c_7081,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != op2(e22,e22) )
| ( h12(op1(e13,e12)) != op2(e22,e23) )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(op1(e12,e13)) != op2(e23,e22) )
| ( h12(op1(e12,e12)) != op2(e23,e23) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),e22) != h12(op1(e10,e13)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(op1(e10,e10)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_558,c_558,c_558,c_558,c_558,c_558,c_558,c_558,c_6932]) ).
tff(c_7119,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != op2(e22,e22) )
| ( h12(op1(e13,e12)) != op2(e22,e23) )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(op1(e12,e13)) != h12(e10) )
| ( h12(op1(e12,e12)) != op2(e23,e23) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),e22) != h12(op1(e10,e13)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(op1(e10,e10)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_556,c_7081]) ).
tff(c_7136,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != op2(e22,e22) )
| ( h12(op1(e13,e12)) != op2(e22,e23) )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(op1(e12,e13)) != h12(e10) )
| ( h12(op1(e12,e12)) != op2(e23,e23) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( h12(op1(e10,e13)) != h12(e11) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(op1(e10,e10)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7121,c_7119]) ).
tff(c_8482,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != op2(e22,e22) )
| ( h12(op1(e13,e12)) != h9(e10) )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(op1(e12,e13)) != h12(e10) )
| ( h12(op1(e12,e12)) != op2(e23,e23) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( h12(op1(e10,e13)) != h12(e11) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(op1(e10,e10)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_532,c_7136]) ).
tff(c_12403,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != op2(e22,e22) )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(op1(e12,e13)) != h12(e10) )
| ( h12(op1(e12,e12)) != op2(e23,e23) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( h12(op1(e10,e13)) != h12(e11) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(op1(e10,e10)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12381,c_8482]) ).
tff(c_12740,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != op2(e22,e22) )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(op1(e12,e12)) != op2(e23,e23) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( h12(op1(e10,e13)) != h12(e11) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(op1(e10,e10)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_460,c_12403]) ).
tff(c_13097,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != op2(e22,e22) )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(op1(e12,e12)) != op2(e23,e23) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(op1(e10,e10)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12906,c_12740]) ).
tff(c_13487,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != e22 )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(op1(e12,e12)) != op2(e23,e23) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(op1(e10,e10)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_452,c_13097]) ).
tff(c_13564,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != e22 )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(op1(e12,e12)) != e23 )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(op1(e10,e10)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_13487]) ).
tff(c_13729,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != e22 )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(op1(e12,e12)) != e23 )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(op1(e11,e11)) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(e10) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_448,c_13564]) ).
tff(c_13920,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != e22 )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(op1(e12,e12)) != e23 )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(e11) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(e10) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_446,c_13729]) ).
tff(c_14087,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != e22 )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( h12(e12) != e23 )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(e11) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(e10) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_444,c_13920]) ).
tff(c_14408,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e13)) != e22 )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(e11) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(e10) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_560,c_14087]) ).
tff(c_14582,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(e13) != e22 )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(e11) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(e10) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_442,c_14408]) ).
tff(c_14903,plain,
( ( h12(e11) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( op2(e22,h12(e10)) != h12(op1(e13,e10)) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( op2(e23,h12(e10)) != h12(op1(e12,e10)) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(e11) )
| ( op2(h12(e11),h12(e10)) != h12(op1(e11,e10)) )
| ( op2(h12(e10),e23) != h12(op1(e10,e12)) )
| ( op2(h12(e10),h12(e11)) != h12(op1(e10,e11)) )
| ( op2(h12(e10),h12(e10)) != h12(e10) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_14582]) ).
tff(c_15292,plain,
( ( h12(e11) != e20 )
| ( h12(op1(e13,e12)) != e20 )
| ( op2(e22,h12(e11)) != h12(op1(e13,e11)) )
| ( h12(op1(e13,e10)) != op2(e22,e21) )
| ( op2(e23,h12(e11)) != h12(op1(e12,e11)) )
| ( h12(op1(e12,e10)) != op2(e23,e21) )
| ( op2(h12(e11),e22) != h12(op1(e11,e13)) )
| ( op2(h12(e11),e23) != h12(op1(e11,e12)) )
| ( op2(h12(e11),h12(e11)) != h12(e11) )
| ( op2(h12(e11),e21) != h12(op1(e11,e10)) )
| ( h12(op1(e10,e12)) != op2(e21,e23) )
| ( op2(e21,h12(e11)) != h12(op1(e10,e11)) )
| ( op2(e21,e21) != e21 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15285,c_15285,c_15285,c_15285,c_15285,c_15285,c_15285,c_15285,c_15285,c_14903]) ).
tff(c_15309,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e13,e11)) != e21 )
| ( h12(op1(e13,e10)) != e23 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(op1(e11,e13)) != e23 )
| ( h12(op1(e11,e12)) != e21 )
| ( h12(op1(e11,e10)) != e22 )
| ( h12(op1(e10,e12)) != e22 )
| ( h12(op1(e10,e11)) != e23 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_454,c_15141,c_15307,c_15191,c_15018,c_15307,c_15307,c_456,c_15307,c_15307,c_12455,c_15307,c_15061,c_15307,c_15111,c_15162,c_15307,c_15255,c_15234,c_15307,c_15307,c_15292]) ).
tff(c_15385,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e13,e11)) != e21 )
| ( h12(op1(e13,e10)) != e23 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(op1(e11,e13)) != e23 )
| ( h12(op1(e11,e12)) != e21 )
| ( h12(op1(e11,e10)) != e22 )
| ( h12(op1(e10,e12)) != e22 )
| ( h12(e12) != e23 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15379,c_15309]) ).
tff(c_15398,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e13,e11)) != e21 )
| ( h12(op1(e13,e10)) != e23 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(op1(e11,e13)) != e23 )
| ( h12(op1(e11,e12)) != e21 )
| ( h12(op1(e11,e10)) != e22 )
| ( h12(op1(e10,e12)) != e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_560,c_15385]) ).
tff(c_15430,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e13,e11)) != e21 )
| ( h12(op1(e13,e10)) != e23 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(op1(e11,e13)) != e23 )
| ( h12(op1(e11,e12)) != e21 )
| ( h12(op1(e11,e10)) != e22 )
| ( h12(e13) != e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15424,c_15398]) ).
tff(c_15443,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e13,e11)) != e21 )
| ( h12(op1(e13,e10)) != e23 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(op1(e11,e13)) != e23 )
| ( h12(op1(e11,e12)) != e21 )
| ( h12(op1(e11,e10)) != e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_15430]) ).
tff(c_15476,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e13,e11)) != e21 )
| ( h12(op1(e13,e10)) != e23 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(op1(e11,e13)) != e23 )
| ( h12(e10) != e21 )
| ( h12(op1(e11,e10)) != e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15469,c_15443]) ).
tff(c_15489,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e13,e11)) != e21 )
| ( h12(op1(e13,e10)) != e23 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(op1(e11,e13)) != e23 )
| ( h12(op1(e11,e10)) != e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15285,c_15476]) ).
tff(c_15520,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(e10) != e21 )
| ( h12(op1(e13,e10)) != e23 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(op1(e11,e13)) != e23 )
| ( h12(op1(e11,e10)) != e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15513,c_15489]) ).
tff(c_15533,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e13,e10)) != e23 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(op1(e11,e13)) != e23 )
| ( h12(op1(e11,e10)) != e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15285,c_15520]) ).
tff(c_15573,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e13,e10)) != e23 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(op1(e11,e13)) != e23 )
| ( h12(e13) != e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15565,c_15533]) ).
tff(c_15593,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(op1(e11,e13)) != e23 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_560,c_15586,c_15573]) ).
tff(c_15620,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e12,e11)) != e22 )
| ( h12(op1(e12,e10)) != e20 )
| ( h12(e12) != e23 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15616,c_15593]) ).
tff(c_15638,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(op1(e12,e11)) != e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_560,c_15307,c_15632,c_15620]) ).
tff(c_15666,plain,
( ( h12(op1(e13,e12)) != e20 )
| ( h12(e13) != e22 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15662,c_15638]) ).
tff(c_15679,plain,
h12(op1(e13,e12)) != e20,
inference(demodulation,[status(thm),theory(equality)],[c_558,c_15666]) ).
tff(c_15713,plain,
h12(e11) != e20,
inference(demodulation,[status(thm),theory(equality)],[c_15709,c_15679]) ).
tff(c_15726,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15307,c_15713]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG113+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.10 % 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
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu Aug 3 20:32:46 EDT 2023
% 0.09/0.31 % CPUTime :
% 146.00/127.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 146.32/127.66
% 146.32/127.66 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 146.49/127.72
% 146.49/127.72 Inference rules
% 146.49/127.72 ----------------------
% 146.49/127.72 #Ref : 0
% 146.49/127.72 #Sup : 0
% 146.49/127.72 #Fact : 0
% 146.49/127.72 #Define : 0
% 146.49/127.72 #Split : 0
% 146.49/127.72 #Chain : 0
% 146.49/127.72 #Close : 0
% 146.49/127.72
% 146.49/127.72 Ordering : KBO
% 146.49/127.72
% 146.49/127.72 Simplification rules
% 146.49/127.72 ----------------------
% 146.49/127.72 #Subsume : 3303
% 146.49/127.72 #Demod : 39184
% 146.49/127.72 #Tautology : 48
% 146.49/127.72 #SimpNegUnit : 74
% 146.49/127.72 #BackRed : 0
% 146.49/127.72
% 146.49/127.72 #Partial instantiations: 0
% 146.49/127.72 #Strategies tried : 1
% 146.49/127.72
% 146.49/127.72 Timing (in seconds)
% 146.49/127.72 ----------------------
% 146.49/127.72 Preprocessing : 2.62
% 146.49/127.72 Parsing : 0.75
% 146.49/127.72 CNF conversion : 0.13
% 146.49/127.72 Main loop : 123.88
% 146.49/127.72 Inferencing : 0.00
% 146.49/127.72 Reduction : 104.64
% 146.49/127.72 Demodulation : 101.17
% 146.49/127.72 BG Simplification : 0.85
% 146.49/127.72 Subsumption : 16.21
% 146.49/127.73 Abstraction : 0.80
% 146.49/127.73 MUC search : 0.00
% 146.49/127.73 Cooper : 0.00
% 146.49/127.73 Total : 126.62
% 146.49/127.73 Index Insertion : 0.00
% 146.49/127.73 Index Deletion : 0.00
% 146.49/127.73 Index Matching : 0.00
% 146.49/127.73 BG Taut test : 0.00
%------------------------------------------------------------------------------