%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG115+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:53:29 PM UTC 2026
% Result : Theorem 7.39s 1.99s
% Output : CNFRefutation 8.46s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f167ERROR: Could not build tree for root c_7265ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f12,axiom,
( e12 = op1(op1(e13,e13),e13)
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,e13),op1(op1(e13,e13),e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(op2(e23,e23),e23)
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,e23),op2(op2(e23,e23),e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e12) = op2(op2(e20,e20),e20)
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(op2(e20,e20),op2(op2(e20,e20),e20))
& h1(e13) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e12) = op2(op2(e21,e21),e21)
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(op2(e21,e21),op2(op2(e21,e21),e21))
& h2(e13) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,e22),e22)
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(op2(e22,e22),op2(op2(e22,e22),e22))
& h3(e13) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f303,plain,
( ~ sP140
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) ) ),
inference(nnf_transformation,[],[f163]) ).
fof(f304,plain,
( ~ sP139
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) ) ),
inference(nnf_transformation,[],[f162]) ).
fof(f305,plain,
( ~ sP138
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) ) ),
inference(nnf_transformation,[],[f161]) ).
fof(f312,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f328,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f329,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f331,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f334,plain,
( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f335,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f337,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f340,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f341,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f346,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f349,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f360,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f376,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f377,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f379,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f382,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f383,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f385,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f388,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f389,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f394,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f397,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f421,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f422,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f429,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f438,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f439,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f440,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f445,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f446,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f453,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f469,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f470,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f477,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f486,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f487,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f488,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f493,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f494,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f501,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f504,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f505,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f506,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f507,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f508,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f509,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f510,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f511,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f512,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f513,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f514,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f515,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f804,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e12)
| e13 = op1(e11,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f87]) ).
fof(f805,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e12)
| e12 = op1(e11,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f87]) ).
fof(f807,plain,
( e10 = op1(e13,e13)
| e10 = op1(e12,e12)
| e10 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f87]) ).
fof(f1080,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e22)
| e23 = op2(e21,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f154]) ).
fof(f1081,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e22)
| e22 = op2(e21,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f154]) ).
fof(f1083,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1084,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f1085,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f1086,plain,
e10 = op1(op1(e13,e13),op1(op1(e13,e13),e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f1087,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f1088,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f1089,plain,
e20 = op2(op2(e23,e23),op2(op2(e23,e23),e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f1091,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f1094,plain,
op2(op2(e21,e21),e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f1095,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f1096,plain,
h2(e10) = op2(op2(e21,e21),op2(op2(e21,e21),e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f1097,plain,
e21 = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f1099,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f1118,plain,
( ~ sP140
| e21 != h2(e13) ),
inference(cnf_transformation,[],[f303]) ).
fof(f1125,plain,
( ~ sP139
| e22 != h2(e10) ),
inference(cnf_transformation,[],[f304]) ).
fof(f1128,plain,
( ~ sP138
| e23 != h2(e11) ),
inference(cnf_transformation,[],[f305]) ).
fof(f1163,plain,
( sP138
| sP139
| sP140
| e20 != h2(e12)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_64,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12 )
| ( op1(e13,e13) = e11 )
| ( op1(e13,e13) = e10 ) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_75,plain,
( ( op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e10) = e11 ) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_78,plain,
( ( op1(e13,e11) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e10,e11) = e12 ) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_83,plain,
( ( op1(e12,e13) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e10) = e11 ) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_84,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_87,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_89,plain,
( ( op1(e13,e13) = e10 )
| ( op1(e13,e12) = e10 )
| ( op1(e13,e11) = e10 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_90,plain,
( ( op1(e13,e13) = e10 )
| ( op1(e12,e13) = e10 )
| ( op1(e11,e13) = e10 )
| ( op1(e10,e13) = e10 ) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_93,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_95,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_96,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_112,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e20 ) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_123,plain,
( ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_126,plain,
( ( op2(e23,e21) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e20,e21) = e22 ) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_131,plain,
( ( op2(e22,e23) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e20) = e21 ) ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_132,plain,
( ( op2(e23,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_135,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(cnf_transformation,[],[f385]) ).
tcf(c_137,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e23,e20) = e20 ) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_138,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_141,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_143,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e20) = e23 ) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_144,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_147,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f453]) ).
tcf(c_154,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f446]) ).
tcf(c_155,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f445]) ).
tcf(c_160,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f440]) ).
tcf(c_161,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f439]) ).
tcf(c_162,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f438]) ).
tcf(c_171,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f429]) ).
tcf(c_178,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f422]) ).
tcf(c_179,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f421]) ).
tcf(c_195,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f501]) ).
tcf(c_202,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f494]) ).
tcf(c_203,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f493]) ).
tcf(c_208,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f488]) ).
tcf(c_209,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f487]) ).
tcf(c_210,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f486]) ).
tcf(c_219,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f477]) ).
tcf(c_226,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f470]) ).
tcf(c_227,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f469]) ).
tcf(c_241,plain,
e10 != e11,
inference(cnf_transformation,[],[f509]) ).
tcf(c_242,plain,
e10 != e12,
inference(cnf_transformation,[],[f508]) ).
tcf(c_243,plain,
e10 != e13,
inference(cnf_transformation,[],[f507]) ).
tcf(c_244,plain,
e11 != e12,
inference(cnf_transformation,[],[f506]) ).
tcf(c_245,plain,
e11 != e13,
inference(cnf_transformation,[],[f505]) ).
tcf(c_246,plain,
e12 != e13,
inference(cnf_transformation,[],[f504]) ).
tcf(c_247,plain,
e20 != e21,
inference(cnf_transformation,[],[f515]) ).
tcf(c_248,plain,
e20 != e22,
inference(cnf_transformation,[],[f514]) ).
tcf(c_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f513]) ).
tcf(c_250,plain,
e21 != e22,
inference(cnf_transformation,[],[f512]) ).
tcf(c_251,plain,
e21 != e23,
inference(cnf_transformation,[],[f511]) ).
tcf(c_252,plain,
e22 != e23,
inference(cnf_transformation,[],[f510]) ).
tcf(c_533,plain,
( ( op1(e13,e13) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f807]) ).
tcf(c_535,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnf_transformation,[],[f805]) ).
tcf(c_536,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(cnf_transformation,[],[f804]) ).
tcf(c_809,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f1083]) ).
tcf(c_811,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnf_transformation,[],[f1081]) ).
tcf(c_812,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e20,e20) = e23 ) ),
inference(cnf_transformation,[],[f1080]) ).
tcf(c_821,plain,
op1(op1(e13,e13),op1(op1(e13,e13),e13)) = e10,
inference(cnf_transformation,[],[f1086]) ).
tcf(c_822,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[],[f1085]) ).
tcf(c_823,plain,
op1(op1(e13,e13),e13) = e12,
inference(cnf_transformation,[],[f1084]) ).
tcf(c_824,plain,
op2(op2(e23,e23),op2(op2(e23,e23),e23)) = e20,
inference(cnf_transformation,[],[f1089]) ).
tcf(c_825,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[],[f1088]) ).
tcf(c_826,plain,
op2(op2(e23,e23),e23) = e22,
inference(cnf_transformation,[],[f1087]) ).
tcf(c_829,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f1091]) ).
tcf(c_831,plain,
h2(e13) = e21,
inference(cnf_transformation,[],[f1097]) ).
tcf(c_832,plain,
op2(op2(e21,e21),op2(op2(e21,e21),e21)) = h2(e10),
inference(cnf_transformation,[],[f1096]) ).
tcf(c_833,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f1095]) ).
tcf(c_834,plain,
op2(op2(e21,e21),e21) = h2(e12),
inference(cnf_transformation,[],[f1094]) ).
tcf(c_837,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f1099]) ).
tcf(c_858,plain,
( ~ sP140
| ( h2(e13) != e21 ) ),
inference(cnf_transformation,[],[f1118]) ).
tcf(c_859,plain,
( ~ sP139
| ( h2(e10) != e22 ) ),
inference(cnf_transformation,[],[f1125]) ).
tcf(c_864,plain,
( ~ sP138
| ( h2(e11) != e23 ) ),
inference(cnf_transformation,[],[f1128]) ).
tcf(c_897,negated_conjecture,
( sP138
| sP139
| sP140
| ( h2(e12) != e20 )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f1163]) ).
tcf(c_939,plain,
op2(e23,e23) = e21,
inference(global_subsumption_just,[status(thm)],[c_112,c_825]) ).
tcf(c_945,plain,
op1(e13,e13) = e11,
inference(global_subsumption_just,[status(thm)],[c_64,c_822]) ).
tcf(c_981,plain,
( sP138
| sP139
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( h2(e12) != e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_897,c_831,c_858,c_897]) ).
tcf(c_982,negated_conjecture,
( sP138
| sP139
| ( h2(e12) != e20 )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_981]) ).
tcf(c_4950,plain,
op2(e21,e23) = e22,
inference(light_normalisation,[status(thm)],[c_826,c_939]) ).
tcf(c_4951,plain,
op1(e11,e13) = e12,
inference(light_normalisation,[status(thm)],[c_823,c_945]) ).
tcf(c_6473,plain,
op2(h2(e11),e21) = h2(e12),
inference(light_normalisation,[status(thm)],[c_834,c_833]) ).
tcf(c_6489,plain,
h2(e11) != e22,
inference(light_normalisation,[status(thm)],[c_227,c_833,c_4950]) ).
tcf(c_6490,plain,
op2(e21,e22) != h2(e11),
inference(light_normalisation,[status(thm)],[c_226,c_833]) ).
tcf(c_6493,plain,
op2(e20,e23) != h1(e11),
inference(light_normalisation,[status(thm)],[c_219,c_829]) ).
tcf(c_6507,plain,
op2(e23,e22) != h3(e11),
inference(light_normalisation,[status(thm)],[c_210,c_837]) ).
tcf(c_6508,plain,
op2(e21,e22) != h3(e11),
inference(light_normalisation,[status(thm)],[c_208,c_837]) ).
tcf(c_6510,plain,
op2(e23,e21) != h2(e11),
inference(light_normalisation,[status(thm)],[c_203,c_833]) ).
tcf(c_6511,plain,
op2(e22,e21) != h2(e11),
inference(light_normalisation,[status(thm)],[c_202,c_833]) ).
tcf(c_6513,plain,
op2(e23,e20) != h1(e11),
inference(light_normalisation,[status(thm)],[c_195,c_829]) ).
tcf(c_6527,plain,
op1(e11,e11) != e12,
inference(light_normalisation,[status(thm)],[c_179,c_4951]) ).
tcf(c_6654,plain,
op2(e21,e22) = e20,
inference(light_normalisation,[status(thm)],[c_824,c_939,c_4950]) ).
tcf(c_6658,plain,
h3(e11) != e20,
inference(demodulation,[status(thm)],[c_6508,c_6654]) ).
tcf(c_6659,plain,
op2(e23,e22) != e20,
inference(demodulation,[status(thm)],[c_209,c_6654]) ).
tcf(c_6661,plain,
h2(e11) != e20,
inference(demodulation,[status(thm)],[c_6490,c_6654]) ).
tcf(c_6683,plain,
op1(e11,e12) = e10,
inference(light_normalisation,[status(thm)],[c_821,c_945,c_4951]) ).
tcf(c_6687,plain,
op1(e12,e12) != e10,
inference(demodulation,[status(thm)],[c_160,c_6683]) ).
tcf(c_6688,plain,
op1(e13,e12) != e10,
inference(demodulation,[status(thm)],[c_161,c_6683]) ).
tcf(c_6690,plain,
op1(e11,e11) != e10,
inference(demodulation,[status(thm)],[c_178,c_6683]) ).
tcf(c_6783,plain,
op2(h2(e11),h2(e12)) = h2(e10),
inference(light_normalisation,[status(thm)],[c_832,c_833,c_6473]) ).
tcf(c_6785,plain,
( ( e21 = e23 )
| ( h3(e11) = e23 )
| ( h2(e11) = e23 )
| ( h1(e11) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_812,c_939,c_829,c_833,c_837]) ).
tcf(c_6786,plain,
( ( h3(e11) = e23 )
| ( h2(e11) = e23 )
| ( h1(e11) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6785,c_251]) ).
tcf(c_6796,plain,
( ( e21 = e22 )
| ( h3(e11) = e22 )
| ( h2(e11) = e22 )
| ( h1(e11) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_811,c_939,c_829,c_833,c_837]) ).
tcf(c_6797,plain,
( ( h3(e11) = e22 )
| ( h1(e11) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6796,c_250,c_6489]) ).
tcf(c_6804,plain,
( ( e20 = e21 )
| ( h3(e11) = e20 )
| ( h2(e11) = e20 )
| ( h1(e11) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_809,c_939,c_829,c_833,c_837]) ).
tcf(c_6805,plain,
h1(e11) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_6804,c_247,c_6658,c_6661]) ).
tcf(c_6806,plain,
( ( e20 = e22 )
| ( h3(e11) = e22 ) ),
inference(demodulation,[status(thm)],[c_6797,c_6805]) ).
tcf(c_6807,plain,
( ( e20 = e23 )
| ( h3(e11) = e23 )
| ( h2(e11) = e23 ) ),
inference(demodulation,[status(thm)],[c_6786,c_6805]) ).
tcf(c_6812,plain,
op2(e23,e20) != e20,
inference(demodulation,[status(thm)],[c_6513,c_6805]) ).
tcf(c_6815,plain,
op2(e20,e23) != e20,
inference(demodulation,[status(thm)],[c_6493,c_6805]) ).
tcf(c_6824,plain,
op2(e20,e20) = e20,
inference(demodulation,[status(thm)],[c_829,c_6805]) ).
tcf(c_6850,plain,
( ( h3(e11) = e23 )
| ( h2(e11) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6807,c_249]) ).
tcf(c_6857,plain,
h3(e11) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_6806,c_248]) ).
tcf(c_6858,plain,
( ( e22 = e23 )
| ( h2(e11) = e23 ) ),
inference(demodulation,[status(thm)],[c_6850,c_6857]) ).
tcf(c_6863,plain,
op2(e23,e22) != e22,
inference(demodulation,[status(thm)],[c_6507,c_6857]) ).
tcf(c_6873,plain,
op2(e22,e22) = e22,
inference(demodulation,[status(thm)],[c_837,c_6857]) ).
tcf(c_6890,plain,
h2(e11) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_6858,c_252]) ).
tcf(c_6891,plain,
op2(e23,h2(e12)) = h2(e10),
inference(demodulation,[status(thm)],[c_6783,c_6890]) ).
tcf(c_6895,plain,
op2(e22,e21) != e23,
inference(demodulation,[status(thm)],[c_6511,c_6890]) ).
tcf(c_6896,plain,
op2(e23,e21) != e23,
inference(demodulation,[status(thm)],[c_6510,c_6890]) ).
tcf(c_6899,plain,
op2(e23,e21) = h2(e12),
inference(demodulation,[status(thm)],[c_6473,c_6890]) ).
tcf(c_6902,plain,
( ~ sP138
| ( e23 != e23 ) ),
inference(demodulation,[status(thm)],[c_864,c_6890]) ).
tcf(c_6903,plain,
op2(e21,e21) = e23,
inference(demodulation,[status(thm)],[c_833,c_6890]) ).
tcf(c_6904,plain,
~ sP138,
inference(equality_resolution_simp,[status(thm)],[c_6902]) ).
tcf(c_6922,plain,
h2(e12) != e23,
inference(light_normalisation,[status(thm)],[c_6896,c_6899]) ).
tcf(c_6929,plain,
( ( e11 = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_536,c_945]) ).
tcf(c_6930,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6929,c_245]) ).
tcf(c_6940,plain,
( ( e11 = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_535,c_945]) ).
tcf(c_6941,plain,
( ( op1(e12,e12) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6940,c_244,c_6527]) ).
tcf(c_6948,plain,
( ( e10 = e11 )
| ( op1(e12,e12) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_533,c_945]) ).
tcf(c_6949,plain,
op1(e10,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_6948,c_241,c_6687,c_6690]) ).
tcf(c_6950,plain,
( ( e10 = e12 )
| ( op1(e12,e12) = e12 ) ),
inference(demodulation,[status(thm)],[c_6941,c_6949]) ).
tcf(c_6951,plain,
( ( e10 = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e11) = e13 ) ),
inference(demodulation,[status(thm)],[c_6930,c_6949]) ).
tcf(c_6955,plain,
op1(e13,e10) != e10,
inference(demodulation,[status(thm)],[c_147,c_6949]) ).
tcf(c_6958,plain,
op1(e10,e13) != e10,
inference(demodulation,[status(thm)],[c_171,c_6949]) ).
tcf(c_6980,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e11,e11) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6951,c_243]) ).
tcf(c_6987,plain,
op1(e12,e12) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_6950,c_242]) ).
tcf(c_6988,plain,
( ( e12 = e13 )
| ( op1(e11,e11) = e13 ) ),
inference(demodulation,[status(thm)],[c_6980,c_6987]) ).
tcf(c_6992,plain,
op1(e13,e12) != e12,
inference(demodulation,[status(thm)],[c_162,c_6987]) ).
tcf(c_7009,plain,
op1(e11,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_6988,c_246]) ).
tcf(c_7013,plain,
op1(e12,e11) != e13,
inference(demodulation,[status(thm)],[c_154,c_7009]) ).
tcf(c_7014,plain,
op1(e13,e11) != e13,
inference(demodulation,[status(thm)],[c_155,c_7009]) ).
tcf(c_7022,plain,
( ( e22 = e23 )
| ( e21 = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_144,c_939,c_4950]) ).
tcf(c_7023,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7022,c_252,c_251]) ).
tcf(c_7030,plain,
( ( e21 = e23 )
| ( h2(e12) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e20) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_143,c_939,c_6899]) ).
tcf(c_7031,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e23,e20) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7030,c_251,c_6922]) ).
tcf(c_7038,plain,
( ( e21 = e22 )
| ( h2(e12) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_141,c_939,c_6899]) ).
tcf(c_7039,plain,
( ( h2(e12) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7038,c_250,c_6863]) ).
tcf(c_7046,plain,
( ( e20 = e22 )
| ( e20 = e21 )
| ( op2(e22,e23) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_138,c_939,c_4950]) ).
tcf(c_7047,plain,
op2(e22,e23) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_7046,c_248,c_247,c_6815]) ).
tcf(c_7048,plain,
( ( e20 = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(demodulation,[status(thm)],[c_7023,c_7047]) ).
tcf(c_7056,plain,
op2(e20,e23) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_7048,c_249]) ).
tcf(c_7063,plain,
( ( e20 = e21 )
| ( h2(e12) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e23,e20) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_137,c_939,c_6899]) ).
tcf(c_7064,plain,
h2(e12) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_7063,c_247,c_6659,c_6812]) ).
tcf(c_7065,plain,
( ( e20 = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(demodulation,[status(thm)],[c_7039,c_7064]) ).
tcf(c_7066,plain,
op2(e23,e20) = h2(e10),
inference(demodulation,[status(thm)],[c_6891,c_7064]) ).
tcf(c_7073,plain,
op2(e23,e21) = e20,
inference(demodulation,[status(thm)],[c_6899,c_7064]) ).
tcf(c_7075,plain,
( ( h2(e10) = e23 )
| ( op2(e23,e22) = e23 ) ),
inference(demodulation,[status(thm)],[c_7031,c_7066]) ).
tcf(c_7095,plain,
( ( e20 = e22 )
| ( h2(e10) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_7065,c_7066]) ).
tcf(c_7096,plain,
h2(e10) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_7095,c_248]) ).
tcf(c_7097,plain,
( ( e22 = e23 )
| ( op2(e23,e22) = e23 ) ),
inference(demodulation,[status(thm)],[c_7075,c_7096]) ).
tcf(c_7105,plain,
op2(e23,e20) = e22,
inference(demodulation,[status(thm)],[c_7066,c_7096]) ).
tcf(c_7106,plain,
( ~ sP139
| ( e22 != e22 ) ),
inference(demodulation,[status(thm)],[c_859,c_7096]) ).
tcf(c_7107,plain,
~ sP139,
inference(equality_resolution_simp,[status(thm)],[c_7106]) ).
tcf(c_7109,plain,
op2(e23,e22) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_7097,c_252]) ).
tcf(c_7116,plain,
( ( e22 = e23 )
| ( e20 = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_135,c_6873,c_7047]) ).
tcf(c_7117,plain,
op2(e22,e20) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_7116,c_252,c_249,c_6895]) ).
tcf(c_7122,plain,
( ( e21 = e23 )
| ( e21 = e22 )
| ( e20 = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_132,c_6654,c_6873,c_7109]) ).
tcf(c_7123,plain,
op2(e20,e22) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_7122,c_251,c_250,c_247]) ).
tcf(c_7129,plain,
( ( e21 = e23 )
| ( e21 = e22 )
| ( e20 = e21 )
| ( op2(e22,e21) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_131,c_6873,c_7047,c_7117]) ).
tcf(c_7130,plain,
op2(e22,e21) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_7129,c_251,c_250,c_247]) ).
tcf(c_7135,plain,
( ( e22 = e23 )
| ( e21 = e22 )
| ( e20 = e22 )
| ( op2(e20,e21) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_126,c_6903,c_7073,c_7130]) ).
tcf(c_7136,plain,
op2(e20,e21) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_7135,c_252,c_250,c_248]) ).
tcf(c_7140,plain,
( ( e21 = e23 )
| ( e21 = e22 )
| ( e20 = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_123,c_4950,c_6654,c_6903]) ).
tcf(c_7141,plain,
op2(e21,e20) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_7140,c_251,c_250,c_247]) ).
tcf(c_7147,plain,
( ( e12 = e13 )
| ( e11 = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_96,c_945,c_4951]) ).
tcf(c_7148,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7147,c_246,c_245]) ).
tcf(c_7155,plain,
( ( e11 = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_95,c_945]) ).
tcf(c_7156,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7155,c_245,c_7014]) ).
tcf(c_7163,plain,
( ( e11 = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_93,c_945]) ).
tcf(c_7164,plain,
( ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7163,c_244,c_6992]) ).
tcf(c_7171,plain,
( ( e10 = e12 )
| ( e10 = e11 )
| ( op1(e12,e13) = e10 )
| ( op1(e10,e13) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_90,c_945,c_4951]) ).
tcf(c_7172,plain,
op1(e12,e13) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_7171,c_242,c_241,c_6958]) ).
tcf(c_7173,plain,
( ( e10 = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(demodulation,[status(thm)],[c_7148,c_7172]) ).
tcf(c_7181,plain,
op1(e10,e13) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_7173,c_243]) ).
tcf(c_7188,plain,
( ( e10 = e11 )
| ( op1(e13,e12) = e10 )
| ( op1(e13,e11) = e10 )
| ( op1(e13,e10) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_89,c_945]) ).
tcf(c_7189,plain,
op1(e13,e11) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_7188,c_241,c_6688,c_6955]) ).
tcf(c_7190,plain,
( ( e10 = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(demodulation,[status(thm)],[c_7164,c_7189]) ).
tcf(c_7198,plain,
op1(e13,e10) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_7190,c_242]) ).
tcf(c_7199,plain,
( ( e12 = e13 )
| ( op1(e13,e12) = e13 ) ),
inference(demodulation,[status(thm)],[c_7156,c_7198]) ).
tcf(c_7208,plain,
op1(e13,e12) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_7199,c_246]) ).
tcf(c_7215,plain,
( ( e12 = e13 )
| ( e10 = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_87,c_6987,c_7172]) ).
tcf(c_7216,plain,
op1(e12,e10) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_7215,c_246,c_243,c_7013]) ).
tcf(c_7221,plain,
( ( e11 = e13 )
| ( e11 = e12 )
| ( e10 = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_84,c_6683,c_6987,c_7208]) ).
tcf(c_7222,plain,
op1(e10,e12) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_7221,c_245,c_244,c_241]) ).
tcf(c_7228,plain,
( ( e11 = e13 )
| ( e11 = e12 )
| ( e10 = e11 )
| ( op1(e12,e11) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_83,c_6987,c_7172,c_7216]) ).
tcf(c_7229,plain,
op1(e12,e11) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_7228,c_245,c_244,c_241]) ).
tcf(c_7234,plain,
( ( e12 = e13 )
| ( e11 = e12 )
| ( e10 = e12 )
| ( op1(e10,e11) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_78,c_7009,c_7189,c_7229]) ).
tcf(c_7235,plain,
op1(e10,e11) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_7234,c_246,c_244,c_242]) ).
tcf(c_7239,plain,
( ( e11 = e13 )
| ( e11 = e12 )
| ( e10 = e11 )
| ( op1(e11,e10) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_75,c_4951,c_6683,c_7009]) ).
tcf(c_7240,plain,
op1(e11,e10) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_7239,c_245,c_244,c_241]) ).
tcf(c_7261,plain,
( sP138
| sP139
| ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( h2(e12) != e20 ) ),
inference(light_normalisation,[status(thm)],[c_982,c_945,c_939,c_831,c_4950,c_4951,c_6654,c_6683,c_6824,c_6873,c_6890,c_6903,c_6949,c_6987,c_7009,c_7047,c_7056,c_7064,c_7073,c_7096,c_7105,c_7109,c_7117,c_7123,c_7130,c_7136,c_7141,c_7172,c_7181,c_7189,c_7198,c_7208,c_7216,c_7222,c_7229,c_7235,c_7240]) ).
tcf(c_7262,plain,
( sP138
| sP139
| ( h2(e12) != e20 ) ),
inference(equality_resolution_simp,[status(thm)],[c_7261]) ).
tcf(c_7263,plain,
( sP138
| sP139
| ( e20 != e20 ) ),
inference(demodulation,[status(thm)],[c_7262,c_7064]) ).
tcf(c_7264,plain,
( sP138
| sP139 ),
inference(equality_resolution_simp,[status(thm)],[c_7263]) ).
tcf(c_7265,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7264,c_6904,c_7107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG115+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n011.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 04:48:43 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.51
% 0.23/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.51
% 0.23/0.51 % Detected problem language: tptp
% 0.23/0.52 % Proving...
% 7.39/1.99 % SZS status Started for theBenchmark.p
% 7.39/1.99 % SZS status Theorem for theBenchmark.p
% 7.39/1.99
% 7.39/1.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.39/1.99
% 7.39/1.99 % ------ iProver source info
% 7.39/1.99
% 7.39/1.99 % git: date: 2026-07-19 20:42:38 +0200
% 7.39/1.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.39/1.99 % git: non_committed_changes: false
% 7.39/1.99
% 7.39/1.99 % ------ Parsing...
% 7.39/1.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.39/1.99
% 7.39/1.99 % ------ Preprocessing...%
% 7.39/1.99
% 7.39/1.99 % SZS status Theorem for theBenchmark.p
% 7.39/1.99
% 7.39/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.46/2.00
% 8.46/2.00
%------------------------------------------------------------------------------