%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO502+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 : Thu Sep 24 08:40:25 AM UTC 2026
% Result : Theorem 31.77s 42.05s
% Output : Proof 31.77s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(aA1,axiom,
! [X,Y] : s_e(X,Y,Y,X),
file('GEO011+0.ax',aA1) ).
fof(aA2,axiom,
! [X,Y,Z,V,Z2,V2] :
( s_e(Z,V,Z2,V2)
| ~ s_e(X,Y,Z2,V2)
| ~ s_e(X,Y,Z,V) ),
file('GEO011+0.ax',aA2) ).
fof(aA3,axiom,
! [X,Y,Z] :
( X = Y
| ~ s_e(X,Y,Z,Z) ),
file('GEO011+0.ax',aA3) ).
fof(aA4,axiom,
! [X,Y,W,V] :
( s_e(Y,ext(X,Y,W,V),W,V)
& s_t(X,Y,ext(X,Y,W,V)) ),
file('GEO011+0.ax',aA4) ).
fof(aA5,axiom,
! [X,Y,X1,Y1,Z,Z1,V,V1] :
( s_e(Z,V,Z1,V1)
| X = Y
| ~ s_t(X1,Y1,Z1)
| ~ s_t(X,Y,Z)
| ~ s_e(Y,V,Y1,V1)
| ~ s_e(X,V,X1,V1)
| ~ s_e(Y,Z,Y1,Z1)
| ~ s_e(X,Y,X1,Y1) ),
file('GEO011+0.ax',aA5) ).
fof(aA6,axiom,
! [X,Y] :
( X = Y
| ~ s_t(X,Y,X) ),
file('GEO011+0.ax',aA6) ).
fof(aA7,axiom,
! [Xa,Xp,Xc,Xb,Xq] :
( ( s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa)
| ~ s_t(Xb,Xq,Xc)
| ~ s_t(Xa,Xp,Xc) )
& ( s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb)
| ~ s_t(Xb,Xq,Xc)
| ~ s_t(Xa,Xp,Xc) ) ),
file('GEO011+0.ax',aA7) ).
fof(aA8,axiom,
( ~ s_t(gamma,alpha,beta)
& ~ s_t(beta,gamma,alpha)
& ~ s_t(alpha,beta,gamma) ),
file('GEO011+0.ax',aA8) ).
fof(aSatz2_1,axiom,
! [Xa,Xb] : s_e(Xa,Xb,Xa,Xb),
file('theBenchmark.p',aSatz2_1) ).
fof(aSatz2_2,axiom,
! [Xa,Xb,Xc,Xd] :
( s_e(Xc,Xd,Xa,Xb)
| ~ s_e(Xa,Xb,Xc,Xd) ),
file('theBenchmark.p',aSatz2_2) ).
fof(aSatz2_3,axiom,
! [Xa,Xb,Xc,Xd,Xe,Xf] :
( s_e(Xa,Xb,Xe,Xf)
| ~ s_e(Xc,Xd,Xe,Xf)
| ~ s_e(Xa,Xb,Xc,Xd) ),
file('theBenchmark.p',aSatz2_3) ).
fof(aSatz2_4,axiom,
! [Xa,Xb,Xc,Xd] :
( s_e(Xb,Xa,Xc,Xd)
| ~ s_e(Xa,Xb,Xc,Xd) ),
file('theBenchmark.p',aSatz2_4) ).
fof(aSatz2_5,axiom,
! [Xa,Xb,Xc,Xd] :
( s_e(Xa,Xb,Xd,Xc)
| ~ s_e(Xa,Xb,Xc,Xd) ),
file('theBenchmark.p',aSatz2_5) ).
fof(aSatz2_8,axiom,
! [Xa,Xb] : s_e(Xa,Xa,Xb,Xb),
file('theBenchmark.p',aSatz2_8) ).
fof(aSatz2_11,axiom,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_e(Xa,Xc,Xa1,Xc1)
| ~ s_e(Xb,Xc,Xb1,Xc1)
| ~ s_e(Xa,Xb,Xa1,Xb1)
| ~ s_t(Xa1,Xb1,Xc1)
| ~ s_t(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz2_11) ).
fof(aSatz2_12,axiom,
! [Xq,Xa,Xd,Xb,Xc] :
( Xd = ext(Xq,Xa,Xb,Xc)
| ~ s_e(Xa,Xd,Xb,Xc)
| ~ s_t(Xq,Xa,Xd)
| Xq = Xa ),
file('theBenchmark.p',aSatz2_12) ).
fof(aSatz2_13,axiom,
! [Xb,Xc,Xa] :
( Xb = Xc
| ~ s_e(Xb,Xc,Xa,Xa) ),
file('theBenchmark.p',aSatz2_13) ).
fof(aSatz2_14,axiom,
! [Xa,Xb,Xc,Xd] :
( s_e(Xb,Xa,Xd,Xc)
| ~ s_e(Xa,Xb,Xc,Xd) ),
file('theBenchmark.p',aSatz2_14) ).
fof(aSatz2_15,axiom,
! [Xa,Xb,Xc,XA,XB,XC] :
( s_e(Xa,Xc,XA,XC)
| ~ s_e(Xb,Xc,XA,XB)
| ~ s_e(Xa,Xb,XB,XC)
| ~ s_t(XA,XB,XC)
| ~ s_t(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz2_15) ).
fof(aSatz3_1,axiom,
! [Xa,Xb] : s_t(Xa,Xb,Xb),
file('theBenchmark.p',aSatz3_1) ).
fof(aSatz3_2,axiom,
! [Xa,Xb,Xc] :
( s_t(Xc,Xb,Xa)
| ~ s_t(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz3_2) ).
fof(aSatz3_3,axiom,
! [Xa1,Xb1] : s_t(Xa1,Xa1,Xb1),
file('theBenchmark.p',aSatz3_3) ).
fof(aSatz3_4,axiom,
! [Xa,Xb,Xc] :
( Xa = Xb
| ~ s_t(Xb,Xa,Xc)
| ~ s_t(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz3_4) ).
fof(aSatz3_5a,axiom,
! [Xa,Xb,Xd,Xc] :
( s_t(Xa,Xb,Xc)
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xd) ),
file('theBenchmark.p',aSatz3_5a) ).
fof(aSatz3_6a,axiom,
! [Xa,Xb,Xc,Xd] :
( s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz3_6a) ).
fof(aSatz3_7a,axiom,
! [Xa,Xb,Xc,Xd] :
( s_t(Xa,Xc,Xd)
| Xb = Xc
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz3_7a) ).
fof(aSatz3_5b,axiom,
! [Xa,Xb,Xd,Xc] :
( s_t(Xa,Xc,Xd)
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xd) ),
file('theBenchmark.p',aSatz3_5b) ).
fof(aSatz3_6b,axiom,
! [Xa,Xb,Xc,Xd] :
( s_t(Xa,Xb,Xd)
| ~ s_t(Xa,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz3_6b) ).
fof(aSatz3_7b,axiom,
! [Xa,Xb,Xc,Xd] :
( s_t(Xa,Xb,Xd)
| Xb = Xc
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz3_7b) ).
fof(aSatz3_13a,axiom,
alpha != beta,
file('theBenchmark.p',aSatz3_13a) ).
fof(aSatz3_13b,axiom,
beta != gamma,
file('theBenchmark.p',aSatz3_13b) ).
fof(aSatz3_13c,axiom,
alpha != gamma,
file('theBenchmark.p',aSatz3_13c) ).
fof(aSatz3_14a,axiom,
! [Xa,Xb] : s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma)),
file('theBenchmark.p',aSatz3_14a) ).
fof(aSatz3_14b,axiom,
! [Xb,Xa] : Xb != ext(Xa,Xb,alpha,gamma),
file('theBenchmark.p',aSatz3_14b) ).
fof(aSatz3_17,axiom,
! [Xa,Xb,Xc,Xa1,Xb1,Xp] :
( ( s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1)
| ~ s_t(Xa,Xp,Xa1)
| ~ s_t(Xa1,Xb1,Xc)
| ~ s_t(Xa,Xb,Xc) )
& ( s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc)
| ~ s_t(Xa,Xp,Xa1)
| ~ s_t(Xa1,Xb1,Xc)
| ~ s_t(Xa,Xb,Xc) ) ),
file('theBenchmark.p',aSatz3_17) ).
fof(aSatz4_2,axiom,
! [Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1] :
( s_e(Xb,Xd,Xb1,Xd1)
| ~ s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) ),
file('theBenchmark.p',aSatz4_2) ).
fof(aSatz4_3,axiom,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_e(Xa,Xb,Xa1,Xb1)
| ~ s_e(Xb,Xc,Xb1,Xc1)
| ~ s_e(Xa,Xc,Xa1,Xc1)
| ~ s_t(Xa1,Xb1,Xc1)
| ~ s_t(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz4_3) ).
fof(aSatz4_5,axiom,
! [Xa,Xb,Xc,Xa1,Xc1] :
( ( s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1)
| ~ s_e(Xa,Xc,Xa1,Xc1)
| ~ s_t(Xa,Xb,Xc) )
& ( s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1)
| ~ s_e(Xa,Xc,Xa1,Xc1)
| ~ s_t(Xa,Xb,Xc) ) ),
file('theBenchmark.p',aSatz4_5) ).
fof(aSatz4_6,axiom,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_t(Xa1,Xb1,Xc1)
| ~ s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_t(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz4_6) ).
fof(aSatz4_11a,axiom,
! [Xa,Xb,Xc] :
( s_col(Xb,Xc,Xa)
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz4_11a) ).
fof(aSatz4_11b,axiom,
! [Xa,Xb,Xc] :
( s_col(Xc,Xa,Xb)
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz4_11b) ).
fof(aSatz4_11c,axiom,
! [Xa,Xb,Xc] :
( s_col(Xc,Xb,Xa)
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz4_11c) ).
fof(aSatz4_11d,axiom,
! [Xa,Xb,Xc] :
( s_col(Xb,Xa,Xc)
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz4_11d) ).
fof(aSatz4_11e,axiom,
! [Xa,Xb,Xc] :
( s_col(Xa,Xc,Xb)
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz4_11e) ).
fof(aSatz4_12,axiom,
! [Xa,Xb] : s_col(Xa,Xa,Xb),
file('theBenchmark.p',aSatz4_12) ).
fof(aSatz4_12b,axiom,
! [Xa,Xb] : s_col(Xa,Xb,Xa),
file('theBenchmark.p',aSatz4_12b) ).
fof(aSatz4_13,axiom,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_col(Xa1,Xb1,Xc1)
| ~ s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz4_13) ).
fof(aSatz4_14,axiom,
! [Xa,Xb,Xc,Xa1,Xb1] :
( s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1))
| ~ s_e(Xa,Xb,Xa1,Xb1)
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz4_14) ).
fof(aSatz4_16,axiom,
! [Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1] :
( s_e(Xc,Xd,Xc1,Xd1)
| Xa = Xb
| ~ s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) ),
file('theBenchmark.p',aSatz4_16) ).
fof(aSatz4_17,axiom,
! [Xa,Xb,Xc,Xp,Xq] :
( s_e(Xc,Xp,Xc,Xq)
| ~ s_e(Xb,Xp,Xb,Xq)
| ~ s_e(Xa,Xp,Xa,Xq)
| ~ s_col(Xa,Xb,Xc)
| Xa = Xb ),
file('theBenchmark.p',aSatz4_17) ).
fof(aSatz4_18,axiom,
! [Xa,Xb,Xc,Xc1] :
( Xc = Xc1
| ~ s_e(Xb,Xc,Xb,Xc1)
| ~ s_e(Xa,Xc,Xa,Xc1)
| ~ s_col(Xa,Xb,Xc)
| Xa = Xb ),
file('theBenchmark.p',aSatz4_18) ).
fof(aSatz4_19,axiom,
! [Xa,Xc,Xb,Xc1] :
( Xc = Xc1
| ~ s_e(Xb,Xc,Xb,Xc1)
| ~ s_e(Xa,Xc,Xa,Xc1)
| ~ s_t(Xa,Xc,Xb) ),
file('theBenchmark.p',aSatz4_19) ).
fof(aSatz5_1,axiom,
! [Xa,Xb,Xc,Xd] :
( s_t(Xa,Xd,Xc)
| s_t(Xa,Xc,Xd)
| ~ s_t(Xa,Xb,Xd)
| ~ s_t(Xa,Xb,Xc)
| Xa = Xb ),
file('theBenchmark.p',aSatz5_1) ).
fof(aSatz5_2,axiom,
! [Xa,Xb,Xc,Xd] :
( s_t(Xb,Xd,Xc)
| s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xd)
| ~ s_t(Xa,Xb,Xc)
| Xa = Xb ),
file('theBenchmark.p',aSatz5_2) ).
fof(aSatz5_3,axiom,
! [Xa,Xb,Xd,Xc] :
( s_t(Xa,Xc,Xb)
| s_t(Xa,Xb,Xc)
| ~ s_t(Xa,Xc,Xd)
| ~ s_t(Xa,Xb,Xd) ),
file('theBenchmark.p',aSatz5_3) ).
fof(aSatz5_5a,axiom,
! [Xa,Xb,Xc,Xd] :
( ( ins(Xc,Xd,Xa,Xb) = ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd)
| ~ le(Xa,Xb,Xc,Xd) )
& ( s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd)
| ~ le(Xa,Xb,Xc,Xd) )
& ( s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb))
| ~ le(Xa,Xb,Xc,Xd) ) ),
file('theBenchmark.p',aSatz5_5a) ).
fof(aSatz5_5b,axiom,
! [Xa,Xb,Xc,Xd,Xe] :
( ~ s_e(Xa,Xe,Xc,Xd)
| ~ s_t(Xa,Xb,Xe)
| le(Xa,Xb,Xc,Xd) ),
file('theBenchmark.p',aSatz5_5b) ).
fof(aSatz5_6,axiom,
! [Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1] :
( le(Xa1,Xb1,Xc1,Xd1)
| ~ s_e(Xc,Xd,Xc1,Xd1)
| ~ s_e(Xa,Xb,Xa1,Xb1)
| ~ le(Xa,Xb,Xc,Xd) ),
file('theBenchmark.p',aSatz5_6) ).
fof(aSatz5_7,axiom,
! [Xa,Xb] : le(Xa,Xb,Xa,Xb),
file('theBenchmark.p',aSatz5_7) ).
fof(aSatz5_8,axiom,
! [Xa,Xb,Xc,Xd,Xe,Xf] :
( le(Xa,Xb,Xe,Xf)
| ~ le(Xc,Xd,Xe,Xf)
| ~ le(Xa,Xb,Xc,Xd) ),
file('theBenchmark.p',aSatz5_8) ).
fof(aSatz5_9,axiom,
! [Xa,Xb,Xc,Xd] :
( s_e(Xa,Xb,Xc,Xd)
| ~ le(Xc,Xd,Xa,Xb)
| ~ le(Xa,Xb,Xc,Xd) ),
file('theBenchmark.p',aSatz5_9) ).
fof(aSatz5_10,axiom,
! [Xa,Xb,Xc,Xd] :
( le(Xc,Xd,Xa,Xb)
| le(Xa,Xb,Xc,Xd) ),
file('theBenchmark.p',aSatz5_10) ).
fof(aSatz5_11,axiom,
! [Xa,Xc,Xd] : le(Xa,Xa,Xc,Xd),
file('theBenchmark.p',aSatz5_11) ).
fof(aSatz5_12a1,axiom,
! [Xa,Xb,Xc] :
( le(Xa,Xb,Xa,Xc)
| ~ s_t(Xa,Xb,Xc)
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz5_12a1) ).
fof(aSatz5_12a2,axiom,
! [Xa,Xb,Xc] :
( le(Xb,Xc,Xa,Xc)
| ~ s_t(Xa,Xb,Xc)
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz5_12a2) ).
fof(aNarbouxLemma1,axiom,
! [Xa,Xb,Xc] :
( Xc = Xb
| ~ s_e(Xa,Xc,Xa,Xb)
| ~ s_t(Xa,Xb,Xc) ),
file('theBenchmark.p',aNarbouxLemma1) ).
fof(aSatz5_12b,axiom,
! [Xa,Xb,Xc] :
( ~ le(Xb,Xc,Xa,Xc)
| ~ le(Xa,Xb,Xa,Xc)
| s_t(Xa,Xb,Xc)
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz5_12b) ).
fof(aSatz6_2a,axiom,
! [Xa,Xp,Xb,Xc] :
( sameside(Xa,Xp,Xb)
| ~ s_t(Xb,Xp,Xc)
| ~ s_t(Xa,Xp,Xc)
| Xc = Xp
| Xb = Xp
| Xa = Xp ),
file('theBenchmark.p',aSatz6_2a) ).
fof(aSatz6_2b,axiom,
! [Xa,Xp,Xb,Xc] :
( ~ sameside(Xa,Xp,Xb)
| s_t(Xb,Xp,Xc)
| ~ s_t(Xa,Xp,Xc)
| Xc = Xp
| Xb = Xp
| Xa = Xp ),
file('theBenchmark.p',aSatz6_2b) ).
fof(aSatz6_3a,axiom,
! [Xa,Xp,Xb] :
( ( s_t(Xb,Xp,c63(Xa,Xp,Xb))
| ~ sameside(Xa,Xp,Xb) )
& ( s_t(Xa,Xp,c63(Xa,Xp,Xb))
| ~ sameside(Xa,Xp,Xb) )
& ( c63(Xa,Xp,Xb) != Xp
| ~ sameside(Xa,Xp,Xb) )
& ( Xb != Xp
| ~ sameside(Xa,Xp,Xb) )
& ( Xa != Xp
| ~ sameside(Xa,Xp,Xb) ) ),
file('theBenchmark.p',aSatz6_3a) ).
fof(aSatz6_3b,axiom,
! [Xa,Xp,Xb,Xc] :
( ~ s_t(Xb,Xp,Xc)
| ~ s_t(Xa,Xp,Xc)
| Xc = Xp
| Xb = Xp
| Xa = Xp
| sameside(Xa,Xp,Xb) ),
file('theBenchmark.p',aSatz6_3b) ).
fof(aSatz6_4a,axiom,
! [Xa,Xp,Xb] :
( ( ~ s_t(Xa,Xp,Xb)
| ~ sameside(Xa,Xp,Xb) )
& ( s_col(Xa,Xp,Xb)
| ~ sameside(Xa,Xp,Xb) ) ),
file('theBenchmark.p',aSatz6_4a) ).
fof(aSatz6_4b,axiom,
! [Xa,Xp,Xb] :
( s_t(Xa,Xp,Xb)
| ~ s_col(Xa,Xp,Xb)
| sameside(Xa,Xp,Xb) ),
file('theBenchmark.p',aSatz6_4b) ).
fof(aSatz6_5,axiom,
! [Xa,Xp] :
( sameside(Xa,Xp,Xa)
| Xa = Xp ),
file('theBenchmark.p',aSatz6_5) ).
fof(aSatz6_6,axiom,
! [Xa,Xp,Xb] :
( sameside(Xb,Xp,Xa)
| ~ sameside(Xa,Xp,Xb) ),
file('theBenchmark.p',aSatz6_6) ).
fof(aSatz6_7,axiom,
! [Xa,Xp,Xb,Xc] :
( sameside(Xa,Xp,Xc)
| ~ sameside(Xb,Xp,Xc)
| ~ sameside(Xa,Xp,Xb) ),
file('theBenchmark.p',aSatz6_7) ).
fof(aSatz6_11a,axiom,
! [Xr,Xa,Xb,Xc] :
( ( s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc)
| Xb = Xc
| Xr = Xa )
& ( sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr)
| Xb = Xc
| Xr = Xa ) ),
file('theBenchmark.p',aSatz6_11a) ).
fof(aSatz6_11b,axiom,
! [Xr,Xa,Xb,Xc,Xp,Xq] :
( Xp = Xq
| ~ s_e(Xa,Xq,Xb,Xc)
| ~ sameside(Xq,Xa,Xr)
| ~ s_e(Xa,Xp,Xb,Xc)
| ~ sameside(Xp,Xa,Xr)
| Xb = Xc
| Xr = Xa ),
file('theBenchmark.p',aSatz6_11b) ).
fof(aSatz6_13a,axiom,
! [Xa,Xp,Xb] :
( s_t(Xp,Xa,Xb)
| ~ le(Xp,Xa,Xp,Xb)
| ~ sameside(Xa,Xp,Xb) ),
file('theBenchmark.p',aSatz6_13a) ).
fof(aSatz6_13b,axiom,
! [Xa,Xp,Xb] :
( ~ s_t(Xp,Xa,Xb)
| le(Xp,Xa,Xp,Xb)
| ~ sameside(Xa,Xp,Xb) ),
file('theBenchmark.p',aSatz6_13b) ).
fof(aSatz6_15a,axiom,
! [Xp,Xq,Xr,Xa] :
( sameside(Xa,Xp,Xr)
| sameside(Xa,Xp,Xq)
| Xa = Xp
| ~ s_col(Xa,Xp,Xq)
| ~ s_t(Xq,Xp,Xr)
| Xp = Xr
| Xp = Xq ),
file('theBenchmark.p',aSatz6_15a) ).
fof(aSatz6_15b,axiom,
! [Xp,Xq,Xr,Xa] :
( s_col(Xa,Xp,Xq)
| ~ sameside(Xa,Xp,Xq)
| ~ s_t(Xq,Xp,Xr)
| Xp = Xr
| Xp = Xq ),
file('theBenchmark.p',aSatz6_15b) ).
fof(aSatz6_15c,axiom,
! [Xp,Xq,Xr,Xa] :
( s_col(Xa,Xp,Xq)
| ~ sameside(Xa,Xp,Xr)
| ~ s_t(Xq,Xp,Xr)
| Xp = Xr
| Xp = Xq ),
file('theBenchmark.p',aSatz6_15c) ).
fof(aSatz6_15d,axiom,
! [Xp,Xq,Xr,Xa] :
( s_col(Xa,Xp,Xq)
| Xa != Xp
| ~ s_t(Xq,Xp,Xr)
| Xp = Xr
| Xp = Xq ),
file('theBenchmark.p',aSatz6_15d) ).
fof(aSatz6_16a,axiom,
! [Xa,Xb,Xc,Xd] :
( s_t(Xc,Xd,Xb)
| s_t(Xd,Xc,Xb)
| ~ s_t(Xd,Xa,Xb)
| ~ s_t(Xc,Xa,Xb)
| Xa = Xb ),
file('theBenchmark.p',aSatz6_16a) ).
fof(aSatz6_16b,axiom,
! [Xp,Xq,Xcs,Xr] :
( s_col(Xp,Xcs,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xcs = Xp
| Xp = Xq ),
file('theBenchmark.p',aSatz6_16b) ).
fof(aSatz6_17a,axiom,
! [Xp,Xq] :
( s_col(Xp,Xq,Xp)
| Xp = Xq ),
file('theBenchmark.p',aSatz6_17a) ).
fof(aSatz6_17b,axiom,
! [Xp,Xq,Xr] :
( s_col(Xq,Xp,Xr)
| ~ s_col(Xp,Xq,Xr)
| Xp = Xq ),
file('theBenchmark.p',aSatz6_17b) ).
fof(aSatz6_18,axiom,
! [Xa,Xb,Xp,Xq,Xr] :
( s_col(Xa,Xb,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xb)
| ~ s_col(Xp,Xq,Xa)
| Xp = Xq
| Xa = Xb ),
file('theBenchmark.p',aSatz6_18) ).
fof(aSatz6_21,axiom,
! [Xa,Xb,Xp,Xq,Xc,Xd,Xe] :
( s_col(Xp,Xq,Xe)
| ~ s_col(Xa,Xb,Xe)
| Xc = Xd
| ~ s_col(Xp,Xq,Xd)
| ~ s_col(Xa,Xb,Xd)
| ~ s_col(Xp,Xq,Xc)
| ~ s_col(Xa,Xb,Xc)
| Xp = Xq
| Xa = Xb ),
file('theBenchmark.p',aSatz6_21) ).
fof(aSatz6_25,axiom,
! [Xa,Xb] :
( ~ s_col(Xa,Xb,pointOffLine(Xa,Xb))
| Xa = Xb ),
file('theBenchmark.p',aSatz6_25) ).
fof(aSatz6_28,axiom,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_e(Xa,Xc,Xa1,Xc1)
| ~ s_e(Xb,Xc,Xb1,Xc1)
| ~ s_e(Xb,Xa,Xb1,Xa1)
| ~ sameside(Xa1,Xb1,Xc1)
| ~ sameside(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz6_28) ).
fof(aSatz7_2,axiom,
! [Xa,Xm,Xb] :
( s_m(Xb,Xm,Xa)
| ~ s_m(Xa,Xm,Xb) ),
file('theBenchmark.p',aSatz7_2) ).
fof(aSatz7_3a,axiom,
! [Xa,Xm] :
( Xm = Xa
| ~ s_m(Xa,Xm,Xa) ),
file('theBenchmark.p',aSatz7_3a) ).
fof(aSatz7_3b,axiom,
! [Xa,Xm] :
( Xm != Xa
| s_m(Xa,Xm,Xa) ),
file('theBenchmark.p',aSatz7_3b) ).
fof(aSatz7_4a,axiom,
! [Xp,Xa] : s_m(Xp,Xa,s(Xa,Xp)),
file('theBenchmark.p',aSatz7_4a) ).
fof(aSatz7_4b,axiom,
! [Xp,Xa,Xr,Xq] :
( Xr = Xq
| ~ s_m(Xp,Xa,Xq)
| ~ s_m(Xp,Xa,Xr) ),
file('theBenchmark.p',aSatz7_4b) ).
fof(aSatz7_6,axiom,
! [Xp,Xa,Xq] :
( Xq = s(Xa,Xp)
| ~ s_m(Xp,Xa,Xq) ),
file('theBenchmark.p',aSatz7_6) ).
fof(aSatz7_7,axiom,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
file('theBenchmark.p',aSatz7_7) ).
fof(aSatz7_8,axiom,
! [Xa,Xp,Xr,Xq] :
( Xp = Xq
| s(Xa,Xq) != Xr
| s(Xa,Xp) != Xr ),
file('theBenchmark.p',aSatz7_8) ).
fof(aSatz7_9,axiom,
! [Xa,Xp,Xq] :
( Xp = Xq
| s(Xa,Xp) != s(Xa,Xq) ),
file('theBenchmark.p',aSatz7_9) ).
fof(aSatz7_10a,axiom,
! [Xa,Xp] :
( Xp = Xa
| s(Xa,Xp) != Xp ),
file('theBenchmark.p',aSatz7_10a) ).
fof(aSatz7_10b,axiom,
! [Xa,Xp] :
( Xp != Xa
| s(Xa,Xp) = Xp ),
file('theBenchmark.p',aSatz7_10b) ).
fof(aSatz7_13,axiom,
! [Xp,Xq,Xa] : s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq)),
file('theBenchmark.p',aSatz7_13) ).
fof(aSatz7_15a,axiom,
! [Xp,Xq,Xr,Xa] :
( s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))
| ~ s_t(Xp,Xq,Xr) ),
file('theBenchmark.p',aSatz7_15a) ).
fof(aSatz7_15b,axiom,
! [Xp,Xq,Xr,Xa] :
( ~ s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))
| s_t(Xp,Xq,Xr) ),
file('theBenchmark.p',aSatz7_15b) ).
fof(aSatz7_16a,axiom,
! [Xp,Xq,Xr,Xcs,Xa] :
( s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs))
| ~ s_e(Xp,Xq,Xr,Xcs) ),
file('theBenchmark.p',aSatz7_16a) ).
fof(aSatz7_16b,axiom,
! [Xp,Xq,Xr,Xcs,Xa] :
( ~ s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs))
| s_e(Xp,Xq,Xr,Xcs) ),
file('theBenchmark.p',aSatz7_16b) ).
fof(aSatz7_17,axiom,
! [Xp,Xa,Xq,Xb] :
( Xa = Xb
| ~ s_m(Xp,Xb,Xq)
| ~ s_m(Xp,Xa,Xq) ),
file('theBenchmark.p',aSatz7_17) ).
fof(aSatz7_18,axiom,
! [Xa,Xp,Xb] :
( Xa = Xb
| s(Xa,Xp) != s(Xb,Xp) ),
file('theBenchmark.p',aSatz7_18) ).
fof(aSatz7_19,axiom,
! [Xa,Xb,Xp] :
( Xa = Xb
| s(Xa,s(Xb,Xp)) != s(Xb,s(Xa,Xp)) ),
file('theBenchmark.p',aSatz7_19) ).
fof(aSatz7_20,axiom,
! [Xa,Xm,Xb] :
( s_m(Xa,Xm,Xb)
| Xa = Xb
| ~ s_e(Xm,Xa,Xm,Xb)
| ~ s_col(Xa,Xm,Xb) ),
file('theBenchmark.p',aSatz7_20) ).
fof(aSatz7_21,axiom,
! [Xa,Xb,Xc,Xd,Xp] :
( s_m(Xa,Xp,Xc)
| ~ s_col(Xb,Xp,Xd)
| ~ s_col(Xa,Xp,Xc)
| ~ s_e(Xb,Xc,Xd,Xa)
| ~ s_e(Xa,Xb,Xc,Xd)
| Xb = Xd
| s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz7_21) ).
fof(aSatz7_22a,axiom,
! [Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2] :
( ~ le(Xc,Xa1,Xc,Xa2)
| s_t(Xm1,Xc,Xm2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) ),
file('theBenchmark.p',aSatz7_22a) ).
fof(aSatz7_22b,axiom,
! [Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2] :
( s_t(Xm1,Xc,Xm2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) ),
file('theBenchmark.p',aSatz7_22b) ).
fof(aSatz7_22,conjecture,
! [Xa1,Xc,Xa2,Xb1,Xb2,Xm1,Xm2] :
( s_t(Xm1,Xc,Xm2)
| ~ s_m(Xa2,Xm2,Xb2)
| ~ s_m(Xa1,Xm1,Xb1)
| ~ s_e(Xc,Xa2,Xc,Xb2)
| ~ s_e(Xc,Xa1,Xc,Xb1)
| ~ s_t(Xb1,Xc,Xb2)
| ~ s_t(Xa1,Xc,Xa2) ),
file('theBenchmark.p',aSatz7_22) ).
fof(d_insert,axiom,
! [Xa,Xb,Xa1,Xc1] : insert(Xa,Xb,Xa1,Xc1) = ext(ext(Xc1,Xa1,alpha,gamma),Xa1,Xa,Xb),
file('theBenchmark.p',d_insert) ).
fof(d_Defn2_10,axiom,
! [Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd] :
( ( s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)
| ~ s_e(Xb,Xd,Zb,Zd)
| ~ s_e(Xa,Xd,Za,Zd)
| ~ s_e(Xb,Xc,Zb,Zc)
| ~ s_e(Xa,Xb,Za,Zb)
| ~ s_t(Za,Zb,Zc)
| ~ s_t(Xa,Xb,Xc) )
& ( s_e(Xb,Xd,Zb,Zd)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xa,Xd,Za,Zd)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xb,Xc,Zb,Zc)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xa,Xb,Za,Zb)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_t(Za,Zb,Zc)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_t(Xa,Xb,Xc)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) ) ),
file('theBenchmark.p',d_Defn2_10) ).
fof(d_Defn4_1,axiom,
! [Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd] :
( ( s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)
| ~ s_e(Xc,Xd,Zc,Zd)
| ~ s_e(Xa,Xd,Za,Zd)
| ~ s_e(Xb,Xc,Zb,Zc)
| ~ s_e(Xa,Xc,Za,Zc)
| ~ s_t(Za,Zb,Zc)
| ~ s_t(Xa,Xb,Xc) )
& ( s_e(Xc,Xd,Zc,Zd)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xa,Xd,Za,Zd)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xb,Xc,Zb,Zc)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xa,Xc,Za,Zc)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_t(Za,Zb,Zc)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_t(Xa,Xb,Xc)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) ) ),
file('theBenchmark.p',d_Defn4_1) ).
fof(d_Defn4_4,axiom,
! [Xa1,Xa2,Xa3,Xb1,Xb2,Xb3] :
( ( s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)
| ~ s_e(Xa2,Xa3,Xb2,Xb3)
| ~ s_e(Xa1,Xa3,Xb1,Xb3)
| ~ s_e(Xa1,Xa2,Xb1,Xb2) )
& ( s_e(Xa2,Xa3,Xb2,Xb3)
| ~ s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) )
& ( s_e(Xa1,Xa3,Xb1,Xb3)
| ~ s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) )
& ( s_e(Xa1,Xa2,Xb1,Xb2)
| ~ s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) ) ),
file('theBenchmark.p',d_Defn4_4) ).
fof(d_Defn4_10,axiom,
! [Xa,Xb,Xc] :
( ( ~ s_t(Xc,Xa,Xb)
| s_col(Xa,Xb,Xc) )
& ( ~ s_t(Xb,Xc,Xa)
| s_col(Xa,Xb,Xc) )
& ( ~ s_t(Xa,Xb,Xc)
| s_col(Xa,Xb,Xc) )
& ( s_t(Xc,Xa,Xb)
| s_t(Xb,Xc,Xa)
| s_t(Xa,Xb,Xc)
| ~ s_col(Xa,Xb,Xc) ) ),
file('theBenchmark.p',d_Defn4_10) ).
fof(d_Defn4_15,axiom,
! [Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1] :
( ( s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)
| ~ s_e(Xb,Xd,Xb1,Xd1)
| ~ s_e(Xa,Xd,Xa1,Xd1)
| ~ s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_col(Xa,Xb,Xc) )
& ( s_e(Xb,Xd,Xb1,Xd1)
| ~ s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) )
& ( s_e(Xa,Xd,Xa1,Xd1)
| ~ s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) )
& ( s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) )
& ( s_col(Xa,Xb,Xc)
| ~ s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) ) ),
file('theBenchmark.p',d_Defn4_15) ).
fof(d_Defn5_4,axiom,
! [Xa,Xb,Xc,Xd,Y] :
( ( le(Xa,Xb,Xc,Xd)
| ~ s_e(Xa,Xb,Xc,Y)
| ~ s_t(Xc,Y,Xd) )
& ( s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd))
| ~ le(Xa,Xb,Xc,Xd) )
& ( s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd)
| ~ le(Xa,Xb,Xc,Xd) ) ),
file('theBenchmark.p',d_Defn5_4) ).
fof(d_Defn6_1,axiom,
! [Xa,Xp,Xb] :
( ( sameside(Xa,Xp,Xb)
| Xb = Xp
| Xa = Xp
| ~ s_t(Xp,Xb,Xa) )
& ( sameside(Xa,Xp,Xb)
| xb = Xp
| Xa = Xp
| ~ s_t(Xp,Xa,Xb) )
& ( s_t(Xp,Xb,Xa)
| s_t(Xp,Xa,Xb)
| ~ sameside(Xa,Xp,Xb) )
& ( Xb != Xp
| ~ sameside(Xa,Xp,Xb) )
& ( Xa != Xp
| ~ sameside(Xa,Xp,Xb) ) ),
file('theBenchmark.p',d_Defn6_1) ).
fof(d_Defn7_1,axiom,
! [Xa,Xm,Xb] :
( ( s_m(Xa,Xm,Xb)
| ~ s_e(Xm,Xa,Xm,Xb)
| ~ s_t(Xa,Xm,Xb) )
& ( s_e(Xm,Xa,Xm,Xb)
| ~ s_m(Xa,Xm,Xb) )
& ( s_t(Xa,Xm,Xb)
| ~ s_m(Xa,Xm,Xb) ) ),
file('theBenchmark.p',d_Defn7_1) ).
fof(d_Defn7_23,axiom,
! [Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2] :
( ( s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)
| ~ s_m(Xa2,Xm2,Xb2)
| ~ s_m(Xa1,Xm1,Xb1)
| ~ s_e(Xc,Xa2,Xc,Xb2)
| ~ s_e(Xc,Xa1,Xc,Xb1)
| ~ s_t(Xb1,Xc,Xb2)
| ~ s_t(Xa1,Xc,Xa2) )
& ( s_m(Xa2,Xm2,Xb2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) )
& ( s_m(Xa1,Xm1,Xb1)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) )
& ( s_e(Xc,Xa2,Xc,Xb2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) )
& ( s_e(Xc,Xa1,Xc,Xb1)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) )
& ( s_t(Xb1,Xc,Xb2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) )
& ( s_t(Xa1,Xc,Xa2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) ) ),
file('theBenchmark.p',d_Defn7_23) ).
fof(f_1_1,plain,
! [X,Y] : s_e(X,Y,Y,X),
inference(fof_nnf,[status(thm)],[aA1]) ).
fof(f_1_2,plain,
! [U_1,U_0] : s_e(U_1,U_0,U_0,U_1),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_0,U_1] : s_e(U_1,U_0,U_0,U_1),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
s_e(U_1,U_0,U_0,U_1),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [X,Y,Z,V,Z2,V2] :
( s_e(Z,V,Z2,V2)
| ~ s_e(X,Y,Z2,V2)
| ~ s_e(X,Y,Z,V) ),
inference(fof_nnf,[status(thm)],[aA2]) ).
fof(f_2_2,plain,
! [U_7,U_6,U_5,U_4,U_3,U_2] :
( s_e(U_5,U_4,U_3,U_2)
| ~ s_e(U_7,U_6,U_3,U_2)
| ~ s_e(U_7,U_6,U_5,U_4) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_7,U_6,U_5,U_4] :
( ! [U_3,U_2] :
( s_e(U_5,U_4,U_3,U_2)
| ~ s_e(U_7,U_6,U_3,U_2) )
| ~ s_e(U_7,U_6,U_5,U_4) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
! [U_7,U_6,U_2,U_3,U_4,U_5] :
( s_e(U_5,U_4,U_3,U_2)
| ~ s_e(U_7,U_6,U_3,U_2)
| ~ s_e(U_7,U_6,U_5,U_4) ),
inference(definitional_conversion,[status(esa)],[f_2_3]) ).
cnf(f_2_5,plain,
( s_e(U_5,U_4,U_3,U_2)
| ~ s_e(U_7,U_6,U_3,U_2)
| ~ s_e(U_7,U_6,U_5,U_4) ),
inference(clausify,[status(thm)],[f_2_4]) ).
fof(f_3_1,plain,
! [X,Y,Z] :
( X = Y
| ~ s_e(X,Y,Z,Z) ),
inference(fof_nnf,[status(thm)],[aA3]) ).
fof(f_3_2,plain,
! [U_10,U_9,U_8] :
( U_10 = U_9
| ~ s_e(U_10,U_9,U_8,U_8) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_10,U_9] :
( ! [U_8] : ~ s_e(U_10,U_9,U_8,U_8)
| U_10 = U_9 ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
! [U_10,U_8,U_9] :
( ~ s_e(U_10,U_9,U_8,U_8)
| U_10 = U_9 ),
inference(definitional_conversion,[status(esa)],[f_3_3]) ).
cnf(f_3_5,plain,
( ~ s_e(U_10,U_9,U_8,U_8)
| U_10 = U_9 ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
! [X,Y,W,V] :
( s_e(Y,ext(X,Y,W,V),W,V)
& s_t(X,Y,ext(X,Y,W,V)) ),
inference(fof_nnf,[status(thm)],[aA4]) ).
fof(f_4_2,plain,
! [U_14,U_13,U_12,U_11] :
( s_e(U_13,ext(U_14,U_13,U_12,U_11),U_12,U_11)
& s_t(U_14,U_13,ext(U_14,U_13,U_12,U_11)) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_22,U_20,U_18,U_16] : s_e(U_20,ext(U_22,U_20,U_18,U_16),U_18,U_16)
& ! [U_21,U_19,U_17,U_15] : s_t(U_21,U_19,ext(U_21,U_19,U_17,U_15)) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_22,U_16,U_18,U_20] : s_e(U_20,ext(U_22,U_20,U_18,U_16),U_18,U_16)
& ! [U_15,U_21,U_19,U_17] : s_t(U_21,U_19,ext(U_21,U_19,U_17,U_15)) ),
inference(definitional_conversion,[status(esa)],[f_4_3]) ).
cnf(f_4_5,plain,
s_t(U_21,U_19,ext(U_21,U_19,U_17,U_15)),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_6,plain,
s_e(U_20,ext(U_22,U_20,U_18,U_16),U_18,U_16),
inference(clausify,[status(thm)],[f_4_4]) ).
fof(f_5_1,plain,
! [X,Y,X1,Y1,Z,Z1,V,V1] :
( s_e(Z,V,Z1,V1)
| X = Y
| ~ s_t(X1,Y1,Z1)
| ~ s_t(X,Y,Z)
| ~ s_e(Y,V,Y1,V1)
| ~ s_e(X,V,X1,V1)
| ~ s_e(Y,Z,Y1,Z1)
| ~ s_e(X,Y,X1,Y1) ),
inference(fof_nnf,[status(thm)],[aA5]) ).
fof(f_5_2,plain,
! [U_30,U_29,U_28,U_27,U_26,U_25,U_24,U_23] :
( s_e(U_26,U_24,U_25,U_23)
| U_30 = U_29
| ~ s_t(U_28,U_27,U_25)
| ~ s_t(U_30,U_29,U_26)
| ~ s_e(U_29,U_24,U_27,U_23)
| ~ s_e(U_30,U_24,U_28,U_23)
| ~ s_e(U_29,U_26,U_27,U_25)
| ~ s_e(U_30,U_29,U_28,U_27) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_30,U_29] :
( ! [U_28,U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24,U_23] :
( s_e(U_26,U_24,U_25,U_23)
| ~ s_e(U_29,U_24,U_27,U_23)
| ~ s_e(U_30,U_24,U_28,U_23) )
| ~ s_t(U_28,U_27,U_25)
| ~ s_e(U_29,U_26,U_27,U_25) )
| ~ s_t(U_30,U_29,U_26) )
| ~ s_e(U_30,U_29,U_28,U_27) )
| U_30 = U_29 ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
! [U_30,U_23,U_24,U_27,U_28,U_25,U_26,U_29] :
( s_e(U_26,U_24,U_25,U_23)
| ~ s_e(U_29,U_24,U_27,U_23)
| ~ s_e(U_30,U_24,U_28,U_23)
| ~ s_t(U_28,U_27,U_25)
| ~ s_e(U_29,U_26,U_27,U_25)
| ~ s_t(U_30,U_29,U_26)
| ~ s_e(U_30,U_29,U_28,U_27)
| U_30 = U_29 ),
inference(definitional_conversion,[status(esa)],[f_5_3]) ).
cnf(f_5_5,plain,
( s_e(U_26,U_24,U_25,U_23)
| ~ s_e(U_29,U_24,U_27,U_23)
| ~ s_e(U_30,U_24,U_28,U_23)
| ~ s_t(U_28,U_27,U_25)
| ~ s_e(U_29,U_26,U_27,U_25)
| ~ s_t(U_30,U_29,U_26)
| ~ s_e(U_30,U_29,U_28,U_27)
| U_30 = U_29 ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_6_1,plain,
! [X,Y] :
( X = Y
| ~ s_t(X,Y,X) ),
inference(fof_nnf,[status(thm)],[aA6]) ).
fof(f_6_2,plain,
! [U_32,U_31] :
( U_32 = U_31
| ~ s_t(U_32,U_31,U_32) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_31,U_32] :
( U_32 = U_31
| ~ s_t(U_32,U_31,U_32) ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( U_32 = U_31
| ~ s_t(U_32,U_31,U_32) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [Xa,Xp,Xc,Xb,Xq] :
( ( s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa)
| ~ s_t(Xb,Xq,Xc)
| ~ s_t(Xa,Xp,Xc) )
& ( s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb)
| ~ s_t(Xb,Xq,Xc)
| ~ s_t(Xa,Xp,Xc) ) ),
inference(fof_nnf,[status(thm)],[aA7]) ).
fof(f_7_2,plain,
! [U_37,U_36,U_35,U_34,U_33] :
( ( s_t(U_33,ip(U_37,U_36,U_35,U_34,U_33),U_37)
| ~ s_t(U_34,U_33,U_35)
| ~ s_t(U_37,U_36,U_35) )
& ( s_t(U_36,ip(U_37,U_36,U_35,U_34,U_33),U_34)
| ~ s_t(U_34,U_33,U_35)
| ~ s_t(U_37,U_36,U_35) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_47,U_45,U_43] :
( ! [U_41,U_39] :
( s_t(U_39,ip(U_47,U_45,U_43,U_41,U_39),U_47)
| ~ s_t(U_41,U_39,U_43) )
| ~ s_t(U_47,U_45,U_43) )
& ! [U_46,U_44,U_42] :
( ! [U_40,U_38] :
( s_t(U_44,ip(U_46,U_44,U_42,U_40,U_38),U_40)
| ~ s_t(U_40,U_38,U_42) )
| ~ s_t(U_46,U_44,U_42) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
( ! [U_39,U_47,U_43,U_45,U_41] :
( s_t(U_39,ip(U_47,U_45,U_43,U_41,U_39),U_47)
| ~ s_t(U_41,U_39,U_43)
| ~ s_t(U_47,U_45,U_43) )
& ! [U_42,U_38,U_44,U_46,U_40] :
( s_t(U_44,ip(U_46,U_44,U_42,U_40,U_38),U_40)
| ~ s_t(U_40,U_38,U_42)
| ~ s_t(U_46,U_44,U_42) ) ),
inference(definitional_conversion,[status(esa)],[f_7_3]) ).
cnf(f_7_5,plain,
( s_t(U_44,ip(U_46,U_44,U_42,U_40,U_38),U_40)
| ~ s_t(U_40,U_38,U_42)
| ~ s_t(U_46,U_44,U_42) ),
inference(clausify,[status(thm)],[f_7_4]) ).
cnf(f_7_6,plain,
( s_t(U_39,ip(U_47,U_45,U_43,U_41,U_39),U_47)
| ~ s_t(U_41,U_39,U_43)
| ~ s_t(U_47,U_45,U_43) ),
inference(clausify,[status(thm)],[f_7_4]) ).
fof(f_8_1,plain,
( ~ s_t(gamma,alpha,beta)
& ~ s_t(beta,gamma,alpha)
& ~ s_t(alpha,beta,gamma) ),
inference(fof_nnf,[status(thm)],[aA8]) ).
fof(f_8_2,plain,
( ~ s_t(gamma,alpha,beta)
& ~ s_t(beta,gamma,alpha)
& ~ s_t(alpha,beta,gamma) ),
inference(definitional_conversion,[status(esa)],[f_8_1]) ).
cnf(f_8_3,plain,
~ s_t(alpha,beta,gamma),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
~ s_t(beta,gamma,alpha),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_5,plain,
~ s_t(gamma,alpha,beta),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [Xa,Xb] : s_e(Xa,Xb,Xa,Xb),
inference(fof_nnf,[status(thm)],[aSatz2_1]) ).
fof(f_9_2,plain,
! [U_49,U_48] : s_e(U_49,U_48,U_49,U_48),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_48,U_49] : s_e(U_49,U_48,U_49,U_48),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
s_e(U_49,U_48,U_49,U_48),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_e(Xc,Xd,Xa,Xb)
| ~ s_e(Xa,Xb,Xc,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz2_2]) ).
fof(f_10_2,plain,
! [U_53,U_52,U_51,U_50] :
( s_e(U_51,U_50,U_53,U_52)
| ~ s_e(U_53,U_52,U_51,U_50) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_51,U_52,U_50,U_53] :
( s_e(U_51,U_50,U_53,U_52)
| ~ s_e(U_53,U_52,U_51,U_50) ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( s_e(U_51,U_50,U_53,U_52)
| ~ s_e(U_53,U_52,U_51,U_50) ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [Xa,Xb,Xc,Xd,Xe,Xf] :
( s_e(Xa,Xb,Xe,Xf)
| ~ s_e(Xc,Xd,Xe,Xf)
| ~ s_e(Xa,Xb,Xc,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz2_3]) ).
fof(f_11_2,plain,
! [U_59,U_58,U_57,U_56,U_55,U_54] :
( s_e(U_59,U_58,U_55,U_54)
| ~ s_e(U_57,U_56,U_55,U_54)
| ~ s_e(U_59,U_58,U_57,U_56) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_59,U_58,U_57,U_56] :
( ! [U_55,U_54] :
( s_e(U_59,U_58,U_55,U_54)
| ~ s_e(U_57,U_56,U_55,U_54) )
| ~ s_e(U_59,U_58,U_57,U_56) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
! [U_57,U_56,U_55,U_54,U_58,U_59] :
( s_e(U_59,U_58,U_55,U_54)
| ~ s_e(U_57,U_56,U_55,U_54)
| ~ s_e(U_59,U_58,U_57,U_56) ),
inference(definitional_conversion,[status(esa)],[f_11_3]) ).
cnf(f_11_5,plain,
( s_e(U_59,U_58,U_55,U_54)
| ~ s_e(U_57,U_56,U_55,U_54)
| ~ s_e(U_59,U_58,U_57,U_56) ),
inference(clausify,[status(thm)],[f_11_4]) ).
fof(f_12_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_e(Xb,Xa,Xc,Xd)
| ~ s_e(Xa,Xb,Xc,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz2_4]) ).
fof(f_12_2,plain,
! [U_63,U_62,U_61,U_60] :
( s_e(U_62,U_63,U_61,U_60)
| ~ s_e(U_63,U_62,U_61,U_60) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_61,U_60,U_63,U_62] :
( s_e(U_62,U_63,U_61,U_60)
| ~ s_e(U_63,U_62,U_61,U_60) ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( s_e(U_62,U_63,U_61,U_60)
| ~ s_e(U_63,U_62,U_61,U_60) ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_e(Xa,Xb,Xd,Xc)
| ~ s_e(Xa,Xb,Xc,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz2_5]) ).
fof(f_13_2,plain,
! [U_67,U_66,U_65,U_64] :
( s_e(U_67,U_66,U_64,U_65)
| ~ s_e(U_67,U_66,U_65,U_64) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_66,U_67,U_64,U_65] :
( s_e(U_67,U_66,U_64,U_65)
| ~ s_e(U_67,U_66,U_65,U_64) ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( s_e(U_67,U_66,U_64,U_65)
| ~ s_e(U_67,U_66,U_65,U_64) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [Xa,Xb] : s_e(Xa,Xa,Xb,Xb),
inference(fof_nnf,[status(thm)],[aSatz2_8]) ).
fof(f_14_2,plain,
! [U_69,U_68] : s_e(U_69,U_69,U_68,U_68),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_69,U_68] : s_e(U_69,U_69,U_68,U_68),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
s_e(U_69,U_69,U_68,U_68),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_e(Xa,Xc,Xa1,Xc1)
| ~ s_e(Xb,Xc,Xb1,Xc1)
| ~ s_e(Xa,Xb,Xa1,Xb1)
| ~ s_t(Xa1,Xb1,Xc1)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz2_11]) ).
fof(f_15_2,plain,
! [U_75,U_74,U_73,U_72,U_71,U_70] :
( s_e(U_75,U_73,U_72,U_70)
| ~ s_e(U_74,U_73,U_71,U_70)
| ~ s_e(U_75,U_74,U_72,U_71)
| ~ s_t(U_72,U_71,U_70)
| ~ s_t(U_75,U_74,U_73) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_75,U_74,U_73] :
( ! [U_72,U_71] :
( ! [U_70] :
( s_e(U_75,U_73,U_72,U_70)
| ~ s_e(U_74,U_73,U_71,U_70)
| ~ s_t(U_72,U_71,U_70) )
| ~ s_e(U_75,U_74,U_72,U_71) )
| ~ s_t(U_75,U_74,U_73) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
! [U_70,U_71,U_72,U_73,U_74,U_75] :
( s_e(U_75,U_73,U_72,U_70)
| ~ s_e(U_74,U_73,U_71,U_70)
| ~ s_t(U_72,U_71,U_70)
| ~ s_e(U_75,U_74,U_72,U_71)
| ~ s_t(U_75,U_74,U_73) ),
inference(definitional_conversion,[status(esa)],[f_15_3]) ).
cnf(f_15_5,plain,
( s_e(U_75,U_73,U_72,U_70)
| ~ s_e(U_74,U_73,U_71,U_70)
| ~ s_t(U_72,U_71,U_70)
| ~ s_e(U_75,U_74,U_72,U_71)
| ~ s_t(U_75,U_74,U_73) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_16_1,plain,
! [Xq,Xa,Xd,Xb,Xc] :
( Xd = ext(Xq,Xa,Xb,Xc)
| ~ s_e(Xa,Xd,Xb,Xc)
| ~ s_t(Xq,Xa,Xd)
| Xq = Xa ),
inference(fof_nnf,[status(thm)],[aSatz2_12]) ).
fof(f_16_2,plain,
! [U_80,U_79,U_78,U_77,U_76] :
( U_78 = ext(U_80,U_79,U_77,U_76)
| ~ s_e(U_79,U_78,U_77,U_76)
| ~ s_t(U_80,U_79,U_78)
| U_80 = U_79 ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_80,U_79] :
( ! [U_78] :
( ! [U_77,U_76] :
( U_78 = ext(U_80,U_79,U_77,U_76)
| ~ s_e(U_79,U_78,U_77,U_76) )
| ~ s_t(U_80,U_79,U_78) )
| U_80 = U_79 ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
! [U_79,U_80,U_78,U_76,U_77] :
( U_78 = ext(U_80,U_79,U_77,U_76)
| ~ s_e(U_79,U_78,U_77,U_76)
| ~ s_t(U_80,U_79,U_78)
| U_80 = U_79 ),
inference(definitional_conversion,[status(esa)],[f_16_3]) ).
cnf(f_16_5,plain,
( U_78 = ext(U_80,U_79,U_77,U_76)
| ~ s_e(U_79,U_78,U_77,U_76)
| ~ s_t(U_80,U_79,U_78)
| U_80 = U_79 ),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_17_1,plain,
! [Xb,Xc,Xa] :
( Xb = Xc
| ~ s_e(Xb,Xc,Xa,Xa) ),
inference(fof_nnf,[status(thm)],[aSatz2_13]) ).
fof(f_17_2,plain,
! [U_83,U_82,U_81] :
( U_83 = U_82
| ~ s_e(U_83,U_82,U_81,U_81) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_83,U_82] :
( ! [U_81] : ~ s_e(U_83,U_82,U_81,U_81)
| U_83 = U_82 ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
! [U_82,U_81,U_83] :
( ~ s_e(U_83,U_82,U_81,U_81)
| U_83 = U_82 ),
inference(definitional_conversion,[status(esa)],[f_17_3]) ).
cnf(f_17_5,plain,
( ~ s_e(U_83,U_82,U_81,U_81)
| U_83 = U_82 ),
inference(clausify,[status(thm)],[f_17_4]) ).
fof(f_18_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_e(Xb,Xa,Xd,Xc)
| ~ s_e(Xa,Xb,Xc,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz2_14]) ).
fof(f_18_2,plain,
! [U_87,U_86,U_85,U_84] :
( s_e(U_86,U_87,U_84,U_85)
| ~ s_e(U_87,U_86,U_85,U_84) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_84,U_85,U_86,U_87] :
( s_e(U_86,U_87,U_84,U_85)
| ~ s_e(U_87,U_86,U_85,U_84) ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( s_e(U_86,U_87,U_84,U_85)
| ~ s_e(U_87,U_86,U_85,U_84) ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [Xa,Xb,Xc,XA,XB,XC] :
( s_e(Xa,Xc,XA,XC)
| ~ s_e(Xb,Xc,XA,XB)
| ~ s_e(Xa,Xb,XB,XC)
| ~ s_t(XA,XB,XC)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz2_15]) ).
fof(f_19_2,plain,
! [U_93,U_92,U_91,U_90,U_89,U_88] :
( s_e(U_93,U_91,U_90,U_88)
| ~ s_e(U_92,U_91,U_90,U_89)
| ~ s_e(U_93,U_92,U_89,U_88)
| ~ s_t(U_90,U_89,U_88)
| ~ s_t(U_93,U_92,U_91) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_93,U_92,U_91] :
( ! [U_90,U_89] :
( ! [U_88] :
( s_e(U_93,U_91,U_90,U_88)
| ~ s_e(U_93,U_92,U_89,U_88)
| ~ s_t(U_90,U_89,U_88) )
| ~ s_e(U_92,U_91,U_90,U_89) )
| ~ s_t(U_93,U_92,U_91) ),
inference(miniscope,[status(thm)],[f_19_2]) ).
fof(f_19_4,plain,
! [U_92,U_93,U_91,U_90,U_88,U_89] :
( s_e(U_93,U_91,U_90,U_88)
| ~ s_e(U_93,U_92,U_89,U_88)
| ~ s_t(U_90,U_89,U_88)
| ~ s_e(U_92,U_91,U_90,U_89)
| ~ s_t(U_93,U_92,U_91) ),
inference(definitional_conversion,[status(esa)],[f_19_3]) ).
cnf(f_19_5,plain,
( s_e(U_93,U_91,U_90,U_88)
| ~ s_e(U_93,U_92,U_89,U_88)
| ~ s_t(U_90,U_89,U_88)
| ~ s_e(U_92,U_91,U_90,U_89)
| ~ s_t(U_93,U_92,U_91) ),
inference(clausify,[status(thm)],[f_19_4]) ).
fof(f_20_1,plain,
! [Xa,Xb] : s_t(Xa,Xb,Xb),
inference(fof_nnf,[status(thm)],[aSatz3_1]) ).
fof(f_20_2,plain,
! [U_95,U_94] : s_t(U_95,U_94,U_94),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_95,U_94] : s_t(U_95,U_94,U_94),
inference(definitional_conversion,[status(esa)],[f_20_2]) ).
cnf(f_20_4,plain,
s_t(U_95,U_94,U_94),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_1,plain,
! [Xa,Xb,Xc] :
( s_t(Xc,Xb,Xa)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz3_2]) ).
fof(f_21_2,plain,
! [U_98,U_97,U_96] :
( s_t(U_96,U_97,U_98)
| ~ s_t(U_98,U_97,U_96) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_96,U_97,U_98] :
( s_t(U_96,U_97,U_98)
| ~ s_t(U_98,U_97,U_96) ),
inference(definitional_conversion,[status(esa)],[f_21_2]) ).
cnf(f_21_4,plain,
( s_t(U_96,U_97,U_98)
| ~ s_t(U_98,U_97,U_96) ),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
! [Xa1,Xb1] : s_t(Xa1,Xa1,Xb1),
inference(fof_nnf,[status(thm)],[aSatz3_3]) ).
fof(f_22_2,plain,
! [U_100,U_99] : s_t(U_100,U_100,U_99),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
! [U_99,U_100] : s_t(U_100,U_100,U_99),
inference(definitional_conversion,[status(esa)],[f_22_2]) ).
cnf(f_22_4,plain,
s_t(U_100,U_100,U_99),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,plain,
! [Xa,Xb,Xc] :
( Xa = Xb
| ~ s_t(Xb,Xa,Xc)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz3_4]) ).
fof(f_23_2,plain,
! [U_103,U_102,U_101] :
( U_103 = U_102
| ~ s_t(U_102,U_103,U_101)
| ~ s_t(U_103,U_102,U_101) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_103,U_102] :
( ! [U_101] :
( ~ s_t(U_102,U_103,U_101)
| ~ s_t(U_103,U_102,U_101) )
| U_103 = U_102 ),
inference(miniscope,[status(thm)],[f_23_2]) ).
fof(f_23_4,plain,
! [U_102,U_101,U_103] :
( ~ s_t(U_102,U_103,U_101)
| ~ s_t(U_103,U_102,U_101)
| U_103 = U_102 ),
inference(definitional_conversion,[status(esa)],[f_23_3]) ).
cnf(f_23_5,plain,
( ~ s_t(U_102,U_103,U_101)
| ~ s_t(U_103,U_102,U_101)
| U_103 = U_102 ),
inference(clausify,[status(thm)],[f_23_4]) ).
fof(f_24_1,plain,
! [Xa,Xb,Xd,Xc] :
( s_t(Xa,Xb,Xc)
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz3_5a]) ).
fof(f_24_2,plain,
! [U_107,U_106,U_105,U_104] :
( s_t(U_107,U_106,U_104)
| ~ s_t(U_106,U_104,U_105)
| ~ s_t(U_107,U_106,U_105) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
! [U_107,U_106,U_105] :
( ! [U_104] :
( s_t(U_107,U_106,U_104)
| ~ s_t(U_106,U_104,U_105) )
| ~ s_t(U_107,U_106,U_105) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
fof(f_24_4,plain,
! [U_106,U_105,U_104,U_107] :
( s_t(U_107,U_106,U_104)
| ~ s_t(U_106,U_104,U_105)
| ~ s_t(U_107,U_106,U_105) ),
inference(definitional_conversion,[status(esa)],[f_24_3]) ).
cnf(f_24_5,plain,
( s_t(U_107,U_106,U_104)
| ~ s_t(U_106,U_104,U_105)
| ~ s_t(U_107,U_106,U_105) ),
inference(clausify,[status(thm)],[f_24_4]) ).
fof(f_25_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz3_6a]) ).
fof(f_25_2,plain,
! [U_111,U_110,U_109,U_108] :
( s_t(U_110,U_109,U_108)
| ~ s_t(U_111,U_109,U_108)
| ~ s_t(U_111,U_110,U_109) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
! [U_111,U_110,U_109] :
( ! [U_108] :
( s_t(U_110,U_109,U_108)
| ~ s_t(U_111,U_109,U_108) )
| ~ s_t(U_111,U_110,U_109) ),
inference(miniscope,[status(thm)],[f_25_2]) ).
fof(f_25_4,plain,
! [U_110,U_109,U_108,U_111] :
( s_t(U_110,U_109,U_108)
| ~ s_t(U_111,U_109,U_108)
| ~ s_t(U_111,U_110,U_109) ),
inference(definitional_conversion,[status(esa)],[f_25_3]) ).
cnf(f_25_5,plain,
( s_t(U_110,U_109,U_108)
| ~ s_t(U_111,U_109,U_108)
| ~ s_t(U_111,U_110,U_109) ),
inference(clausify,[status(thm)],[f_25_4]) ).
fof(f_26_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_t(Xa,Xc,Xd)
| Xb = Xc
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz3_7a]) ).
fof(f_26_2,plain,
! [U_115,U_114,U_113,U_112] :
( s_t(U_115,U_113,U_112)
| U_114 = U_113
| ~ s_t(U_114,U_113,U_112)
| ~ s_t(U_115,U_114,U_113) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
! [U_115,U_114,U_113] :
( ! [U_112] :
( s_t(U_115,U_113,U_112)
| ~ s_t(U_114,U_113,U_112) )
| U_114 = U_113
| ~ s_t(U_115,U_114,U_113) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
fof(f_26_4,plain,
! [U_114,U_113,U_112,U_115] :
( s_t(U_115,U_113,U_112)
| ~ s_t(U_114,U_113,U_112)
| U_114 = U_113
| ~ s_t(U_115,U_114,U_113) ),
inference(definitional_conversion,[status(esa)],[f_26_3]) ).
cnf(f_26_5,plain,
( s_t(U_115,U_113,U_112)
| ~ s_t(U_114,U_113,U_112)
| U_114 = U_113
| ~ s_t(U_115,U_114,U_113) ),
inference(clausify,[status(thm)],[f_26_4]) ).
fof(f_27_1,plain,
! [Xa,Xb,Xd,Xc] :
( s_t(Xa,Xc,Xd)
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz3_5b]) ).
fof(f_27_2,plain,
! [U_119,U_118,U_117,U_116] :
( s_t(U_119,U_116,U_117)
| ~ s_t(U_118,U_116,U_117)
| ~ s_t(U_119,U_118,U_117) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
! [U_119,U_118,U_117] :
( ! [U_116] :
( s_t(U_119,U_116,U_117)
| ~ s_t(U_118,U_116,U_117) )
| ~ s_t(U_119,U_118,U_117) ),
inference(miniscope,[status(thm)],[f_27_2]) ).
fof(f_27_4,plain,
! [U_119,U_118,U_117,U_116] :
( s_t(U_119,U_116,U_117)
| ~ s_t(U_118,U_116,U_117)
| ~ s_t(U_119,U_118,U_117) ),
inference(definitional_conversion,[status(esa)],[f_27_3]) ).
cnf(f_27_5,plain,
( s_t(U_119,U_116,U_117)
| ~ s_t(U_118,U_116,U_117)
| ~ s_t(U_119,U_118,U_117) ),
inference(clausify,[status(thm)],[f_27_4]) ).
fof(f_28_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_t(Xa,Xb,Xd)
| ~ s_t(Xa,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz3_6b]) ).
fof(f_28_2,plain,
! [U_123,U_122,U_121,U_120] :
( s_t(U_123,U_122,U_120)
| ~ s_t(U_123,U_121,U_120)
| ~ s_t(U_123,U_122,U_121) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
! [U_123,U_122,U_121] :
( ! [U_120] :
( s_t(U_123,U_122,U_120)
| ~ s_t(U_123,U_121,U_120) )
| ~ s_t(U_123,U_122,U_121) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
fof(f_28_4,plain,
! [U_122,U_121,U_120,U_123] :
( s_t(U_123,U_122,U_120)
| ~ s_t(U_123,U_121,U_120)
| ~ s_t(U_123,U_122,U_121) ),
inference(definitional_conversion,[status(esa)],[f_28_3]) ).
cnf(f_28_5,plain,
( s_t(U_123,U_122,U_120)
| ~ s_t(U_123,U_121,U_120)
| ~ s_t(U_123,U_122,U_121) ),
inference(clausify,[status(thm)],[f_28_4]) ).
fof(f_29_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_t(Xa,Xb,Xd)
| Xb = Xc
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz3_7b]) ).
fof(f_29_2,plain,
! [U_127,U_126,U_125,U_124] :
( s_t(U_127,U_126,U_124)
| U_126 = U_125
| ~ s_t(U_126,U_125,U_124)
| ~ s_t(U_127,U_126,U_125) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
! [U_127,U_126,U_125] :
( ! [U_124] :
( s_t(U_127,U_126,U_124)
| ~ s_t(U_126,U_125,U_124) )
| U_126 = U_125
| ~ s_t(U_127,U_126,U_125) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
! [U_125,U_126,U_127,U_124] :
( s_t(U_127,U_126,U_124)
| ~ s_t(U_126,U_125,U_124)
| U_126 = U_125
| ~ s_t(U_127,U_126,U_125) ),
inference(definitional_conversion,[status(esa)],[f_29_3]) ).
cnf(f_29_5,plain,
( s_t(U_127,U_126,U_124)
| ~ s_t(U_126,U_125,U_124)
| U_126 = U_125
| ~ s_t(U_127,U_126,U_125) ),
inference(clausify,[status(thm)],[f_29_4]) ).
fof(f_30_1,plain,
alpha != beta,
inference(fof_nnf,[status(thm)],[aSatz3_13a]) ).
fof(f_30_2,plain,
alpha != beta,
inference(definitional_conversion,[status(esa)],[f_30_1]) ).
cnf(f_30_3,plain,
alpha != beta,
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
beta != gamma,
inference(fof_nnf,[status(thm)],[aSatz3_13b]) ).
fof(f_31_2,plain,
beta != gamma,
inference(definitional_conversion,[status(esa)],[f_31_1]) ).
cnf(f_31_3,plain,
beta != gamma,
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
alpha != gamma,
inference(fof_nnf,[status(thm)],[aSatz3_13c]) ).
fof(f_32_2,plain,
alpha != gamma,
inference(definitional_conversion,[status(esa)],[f_32_1]) ).
cnf(f_32_3,plain,
alpha != gamma,
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
! [Xa,Xb] : s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma)),
inference(fof_nnf,[status(thm)],[aSatz3_14a]) ).
fof(f_33_2,plain,
! [U_129,U_128] : s_t(U_129,U_128,ext(U_129,U_128,alpha,gamma)),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
! [U_128,U_129] : s_t(U_129,U_128,ext(U_129,U_128,alpha,gamma)),
inference(definitional_conversion,[status(esa)],[f_33_2]) ).
cnf(f_33_4,plain,
s_t(U_129,U_128,ext(U_129,U_128,alpha,gamma)),
inference(clausify,[status(thm)],[f_33_3]) ).
fof(f_34_1,plain,
! [Xb,Xa] : Xb != ext(Xa,Xb,alpha,gamma),
inference(fof_nnf,[status(thm)],[aSatz3_14b]) ).
fof(f_34_2,plain,
! [U_131,U_130] : U_131 != ext(U_130,U_131,alpha,gamma),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
! [U_131,U_130] : U_131 != ext(U_130,U_131,alpha,gamma),
inference(definitional_conversion,[status(esa)],[f_34_2]) ).
cnf(f_34_4,plain,
U_131 != ext(U_130,U_131,alpha,gamma),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_35_1,plain,
! [Xa,Xb,Xc,Xa1,Xb1,Xp] :
( ( s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1)
| ~ s_t(Xa,Xp,Xa1)
| ~ s_t(Xa1,Xb1,Xc)
| ~ s_t(Xa,Xb,Xc) )
& ( s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc)
| ~ s_t(Xa,Xp,Xa1)
| ~ s_t(Xa1,Xb1,Xc)
| ~ s_t(Xa,Xb,Xc) ) ),
inference(fof_nnf,[status(thm)],[aSatz3_17]) ).
fof(f_35_2,plain,
! [U_137,U_136,U_135,U_134,U_133,U_132] :
( ( s_t(U_136,crossbar(U_137,U_136,U_135,U_134,U_133,U_132),U_133)
| ~ s_t(U_137,U_132,U_134)
| ~ s_t(U_134,U_133,U_135)
| ~ s_t(U_137,U_136,U_135) )
& ( s_t(U_132,crossbar(U_137,U_136,U_135,U_134,U_133,U_132),U_135)
| ~ s_t(U_137,U_132,U_134)
| ~ s_t(U_134,U_133,U_135)
| ~ s_t(U_137,U_136,U_135) ) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
( ! [U_149,U_147,U_145] :
( ! [U_143,U_141] :
( ! [U_139] :
( s_t(U_147,crossbar(U_149,U_147,U_145,U_143,U_141,U_139),U_141)
| ~ s_t(U_149,U_139,U_143) )
| ~ s_t(U_143,U_141,U_145) )
| ~ s_t(U_149,U_147,U_145) )
& ! [U_148,U_146,U_144] :
( ! [U_142,U_140] :
( ! [U_138] :
( s_t(U_138,crossbar(U_148,U_146,U_144,U_142,U_140,U_138),U_144)
| ~ s_t(U_148,U_138,U_142) )
| ~ s_t(U_142,U_140,U_144) )
| ~ s_t(U_148,U_146,U_144) ) ),
inference(miniscope,[status(thm)],[f_35_2]) ).
fof(f_35_4,plain,
( ! [U_139,U_145,U_141,U_149,U_147,U_143] :
( s_t(U_147,crossbar(U_149,U_147,U_145,U_143,U_141,U_139),U_141)
| ~ s_t(U_149,U_139,U_143)
| ~ s_t(U_143,U_141,U_145)
| ~ s_t(U_149,U_147,U_145) )
& ! [U_146,U_144,U_138,U_142,U_140,U_148] :
( s_t(U_138,crossbar(U_148,U_146,U_144,U_142,U_140,U_138),U_144)
| ~ s_t(U_148,U_138,U_142)
| ~ s_t(U_142,U_140,U_144)
| ~ s_t(U_148,U_146,U_144) ) ),
inference(definitional_conversion,[status(esa)],[f_35_3]) ).
cnf(f_35_5,plain,
( s_t(U_138,crossbar(U_148,U_146,U_144,U_142,U_140,U_138),U_144)
| ~ s_t(U_148,U_138,U_142)
| ~ s_t(U_142,U_140,U_144)
| ~ s_t(U_148,U_146,U_144) ),
inference(clausify,[status(thm)],[f_35_4]) ).
cnf(f_35_6,plain,
( s_t(U_147,crossbar(U_149,U_147,U_145,U_143,U_141,U_139),U_141)
| ~ s_t(U_149,U_139,U_143)
| ~ s_t(U_143,U_141,U_145)
| ~ s_t(U_149,U_147,U_145) ),
inference(clausify,[status(thm)],[f_35_4]) ).
fof(f_36_1,plain,
! [Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1] :
( s_e(Xb,Xd,Xb1,Xd1)
| ~ s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) ),
inference(fof_nnf,[status(thm)],[aSatz4_2]) ).
fof(f_36_2,plain,
! [U_157,U_156,U_155,U_154,U_153,U_152,U_151,U_150] :
( s_e(U_156,U_154,U_152,U_150)
| ~ s_ifs(U_157,U_156,U_155,U_154,U_153,U_152,U_151,U_150) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
! [U_157,U_151,U_150,U_156,U_152,U_153,U_155,U_154] :
( s_e(U_156,U_154,U_152,U_150)
| ~ s_ifs(U_157,U_156,U_155,U_154,U_153,U_152,U_151,U_150) ),
inference(definitional_conversion,[status(esa)],[f_36_2]) ).
cnf(f_36_4,plain,
( s_e(U_156,U_154,U_152,U_150)
| ~ s_ifs(U_157,U_156,U_155,U_154,U_153,U_152,U_151,U_150) ),
inference(clausify,[status(thm)],[f_36_3]) ).
fof(f_37_1,plain,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_e(Xa,Xb,Xa1,Xb1)
| ~ s_e(Xb,Xc,Xb1,Xc1)
| ~ s_e(Xa,Xc,Xa1,Xc1)
| ~ s_t(Xa1,Xb1,Xc1)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_3]) ).
fof(f_37_2,plain,
! [U_163,U_162,U_161,U_160,U_159,U_158] :
( s_e(U_163,U_162,U_160,U_159)
| ~ s_e(U_162,U_161,U_159,U_158)
| ~ s_e(U_163,U_161,U_160,U_158)
| ~ s_t(U_160,U_159,U_158)
| ~ s_t(U_163,U_162,U_161) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
! [U_163,U_162,U_161] :
( ! [U_160,U_159] :
( ! [U_158] :
( ~ s_e(U_162,U_161,U_159,U_158)
| ~ s_e(U_163,U_161,U_160,U_158)
| ~ s_t(U_160,U_159,U_158) )
| s_e(U_163,U_162,U_160,U_159) )
| ~ s_t(U_163,U_162,U_161) ),
inference(miniscope,[status(thm)],[f_37_2]) ).
fof(f_37_4,plain,
! [U_160,U_159,U_158,U_161,U_162,U_163] :
( ~ s_e(U_162,U_161,U_159,U_158)
| ~ s_e(U_163,U_161,U_160,U_158)
| ~ s_t(U_160,U_159,U_158)
| s_e(U_163,U_162,U_160,U_159)
| ~ s_t(U_163,U_162,U_161) ),
inference(definitional_conversion,[status(esa)],[f_37_3]) ).
cnf(f_37_5,plain,
( ~ s_e(U_162,U_161,U_159,U_158)
| ~ s_e(U_163,U_161,U_160,U_158)
| ~ s_t(U_160,U_159,U_158)
| s_e(U_163,U_162,U_160,U_159)
| ~ s_t(U_163,U_162,U_161) ),
inference(clausify,[status(thm)],[f_37_4]) ).
fof(f_38_1,plain,
! [Xa,Xb,Xc,Xa1,Xc1] :
( ( s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1)
| ~ s_e(Xa,Xc,Xa1,Xc1)
| ~ s_t(Xa,Xb,Xc) )
& ( s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1)
| ~ s_e(Xa,Xc,Xa1,Xc1)
| ~ s_t(Xa,Xb,Xc) ) ),
inference(fof_nnf,[status(thm)],[aSatz4_5]) ).
fof(f_38_2,plain,
! [U_168,U_167,U_166,U_165,U_164] :
( ( s_e3(U_168,U_167,U_166,U_165,insert(U_168,U_167,U_165,U_164),U_164)
| ~ s_e(U_168,U_166,U_165,U_164)
| ~ s_t(U_168,U_167,U_166) )
& ( s_t(U_165,insert(U_168,U_167,U_165,U_164),U_164)
| ~ s_e(U_168,U_166,U_165,U_164)
| ~ s_t(U_168,U_167,U_166) ) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
( ! [U_178,U_176,U_174] :
( ! [U_172,U_170] :
( s_e3(U_178,U_176,U_174,U_172,insert(U_178,U_176,U_172,U_170),U_170)
| ~ s_e(U_178,U_174,U_172,U_170) )
| ~ s_t(U_178,U_176,U_174) )
& ! [U_177,U_175,U_173] :
( ! [U_171,U_169] :
( s_t(U_171,insert(U_177,U_175,U_171,U_169),U_169)
| ~ s_e(U_177,U_173,U_171,U_169) )
| ~ s_t(U_177,U_175,U_173) ) ),
inference(miniscope,[status(thm)],[f_38_2]) ).
fof(f_38_4,plain,
( ! [U_178,U_170,U_172,U_174,U_176] :
( s_e3(U_178,U_176,U_174,U_172,insert(U_178,U_176,U_172,U_170),U_170)
| ~ s_e(U_178,U_174,U_172,U_170)
| ~ s_t(U_178,U_176,U_174) )
& ! [U_169,U_175,U_173,U_171,U_177] :
( s_t(U_171,insert(U_177,U_175,U_171,U_169),U_169)
| ~ s_e(U_177,U_173,U_171,U_169)
| ~ s_t(U_177,U_175,U_173) ) ),
inference(definitional_conversion,[status(esa)],[f_38_3]) ).
cnf(f_38_5,plain,
( s_t(U_171,insert(U_177,U_175,U_171,U_169),U_169)
| ~ s_e(U_177,U_173,U_171,U_169)
| ~ s_t(U_177,U_175,U_173) ),
inference(clausify,[status(thm)],[f_38_4]) ).
cnf(f_38_6,plain,
( s_e3(U_178,U_176,U_174,U_172,insert(U_178,U_176,U_172,U_170),U_170)
| ~ s_e(U_178,U_174,U_172,U_170)
| ~ s_t(U_178,U_176,U_174) ),
inference(clausify,[status(thm)],[f_38_4]) ).
fof(f_39_1,plain,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_t(Xa1,Xb1,Xc1)
| ~ s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_6]) ).
fof(f_39_2,plain,
! [U_184,U_183,U_182,U_181,U_180,U_179] :
( s_t(U_181,U_180,U_179)
| ~ s_e3(U_184,U_183,U_182,U_181,U_180,U_179)
| ~ s_t(U_184,U_183,U_182) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
! [U_184,U_183,U_182] :
( ! [U_181,U_180,U_179] :
( s_t(U_181,U_180,U_179)
| ~ s_e3(U_184,U_183,U_182,U_181,U_180,U_179) )
| ~ s_t(U_184,U_183,U_182) ),
inference(miniscope,[status(thm)],[f_39_2]) ).
fof(f_39_4,plain,
! [U_180,U_183,U_182,U_181,U_184,U_179] :
( s_t(U_181,U_180,U_179)
| ~ s_e3(U_184,U_183,U_182,U_181,U_180,U_179)
| ~ s_t(U_184,U_183,U_182) ),
inference(definitional_conversion,[status(esa)],[f_39_3]) ).
cnf(f_39_5,plain,
( s_t(U_181,U_180,U_179)
| ~ s_e3(U_184,U_183,U_182,U_181,U_180,U_179)
| ~ s_t(U_184,U_183,U_182) ),
inference(clausify,[status(thm)],[f_39_4]) ).
fof(f_40_1,plain,
! [Xa,Xb,Xc] :
( s_col(Xb,Xc,Xa)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_11a]) ).
fof(f_40_2,plain,
! [U_187,U_186,U_185] :
( s_col(U_186,U_185,U_187)
| ~ s_col(U_187,U_186,U_185) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
! [U_185,U_187,U_186] :
( s_col(U_186,U_185,U_187)
| ~ s_col(U_187,U_186,U_185) ),
inference(definitional_conversion,[status(esa)],[f_40_2]) ).
cnf(f_40_4,plain,
( s_col(U_186,U_185,U_187)
| ~ s_col(U_187,U_186,U_185) ),
inference(clausify,[status(thm)],[f_40_3]) ).
fof(f_41_1,plain,
! [Xa,Xb,Xc] :
( s_col(Xc,Xa,Xb)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_11b]) ).
fof(f_41_2,plain,
! [U_190,U_189,U_188] :
( s_col(U_188,U_190,U_189)
| ~ s_col(U_190,U_189,U_188) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
! [U_188,U_189,U_190] :
( s_col(U_188,U_190,U_189)
| ~ s_col(U_190,U_189,U_188) ),
inference(definitional_conversion,[status(esa)],[f_41_2]) ).
cnf(f_41_4,plain,
( s_col(U_188,U_190,U_189)
| ~ s_col(U_190,U_189,U_188) ),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_42_1,plain,
! [Xa,Xb,Xc] :
( s_col(Xc,Xb,Xa)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_11c]) ).
fof(f_42_2,plain,
! [U_193,U_192,U_191] :
( s_col(U_191,U_192,U_193)
| ~ s_col(U_193,U_192,U_191) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
! [U_191,U_192,U_193] :
( s_col(U_191,U_192,U_193)
| ~ s_col(U_193,U_192,U_191) ),
inference(definitional_conversion,[status(esa)],[f_42_2]) ).
cnf(f_42_4,plain,
( s_col(U_191,U_192,U_193)
| ~ s_col(U_193,U_192,U_191) ),
inference(clausify,[status(thm)],[f_42_3]) ).
fof(f_43_1,plain,
! [Xa,Xb,Xc] :
( s_col(Xb,Xa,Xc)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_11d]) ).
fof(f_43_2,plain,
! [U_196,U_195,U_194] :
( s_col(U_195,U_196,U_194)
| ~ s_col(U_196,U_195,U_194) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
! [U_194,U_195,U_196] :
( s_col(U_195,U_196,U_194)
| ~ s_col(U_196,U_195,U_194) ),
inference(definitional_conversion,[status(esa)],[f_43_2]) ).
cnf(f_43_4,plain,
( s_col(U_195,U_196,U_194)
| ~ s_col(U_196,U_195,U_194) ),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_44_1,plain,
! [Xa,Xb,Xc] :
( s_col(Xa,Xc,Xb)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_11e]) ).
fof(f_44_2,plain,
! [U_199,U_198,U_197] :
( s_col(U_199,U_197,U_198)
| ~ s_col(U_199,U_198,U_197) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
! [U_197,U_198,U_199] :
( s_col(U_199,U_197,U_198)
| ~ s_col(U_199,U_198,U_197) ),
inference(definitional_conversion,[status(esa)],[f_44_2]) ).
cnf(f_44_4,plain,
( s_col(U_199,U_197,U_198)
| ~ s_col(U_199,U_198,U_197) ),
inference(clausify,[status(thm)],[f_44_3]) ).
fof(f_45_1,plain,
! [Xa,Xb] : s_col(Xa,Xa,Xb),
inference(fof_nnf,[status(thm)],[aSatz4_12]) ).
fof(f_45_2,plain,
! [U_201,U_200] : s_col(U_201,U_201,U_200),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
! [U_200,U_201] : s_col(U_201,U_201,U_200),
inference(definitional_conversion,[status(esa)],[f_45_2]) ).
cnf(f_45_4,plain,
s_col(U_201,U_201,U_200),
inference(clausify,[status(thm)],[f_45_3]) ).
fof(f_46_1,plain,
! [Xa,Xb] : s_col(Xa,Xb,Xa),
inference(fof_nnf,[status(thm)],[aSatz4_12b]) ).
fof(f_46_2,plain,
! [U_203,U_202] : s_col(U_203,U_202,U_203),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
! [U_202,U_203] : s_col(U_203,U_202,U_203),
inference(definitional_conversion,[status(esa)],[f_46_2]) ).
cnf(f_46_4,plain,
s_col(U_203,U_202,U_203),
inference(clausify,[status(thm)],[f_46_3]) ).
fof(f_47_1,plain,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_col(Xa1,Xb1,Xc1)
| ~ s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_13]) ).
fof(f_47_2,plain,
! [U_209,U_208,U_207,U_206,U_205,U_204] :
( s_col(U_206,U_205,U_204)
| ~ s_e3(U_209,U_208,U_207,U_206,U_205,U_204)
| ~ s_col(U_209,U_208,U_207) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
! [U_209,U_208,U_207] :
( ! [U_206,U_205,U_204] :
( s_col(U_206,U_205,U_204)
| ~ s_e3(U_209,U_208,U_207,U_206,U_205,U_204) )
| ~ s_col(U_209,U_208,U_207) ),
inference(miniscope,[status(thm)],[f_47_2]) ).
fof(f_47_4,plain,
! [U_205,U_204,U_206,U_207,U_208,U_209] :
( s_col(U_206,U_205,U_204)
| ~ s_e3(U_209,U_208,U_207,U_206,U_205,U_204)
| ~ s_col(U_209,U_208,U_207) ),
inference(definitional_conversion,[status(esa)],[f_47_3]) ).
cnf(f_47_5,plain,
( s_col(U_206,U_205,U_204)
| ~ s_e3(U_209,U_208,U_207,U_206,U_205,U_204)
| ~ s_col(U_209,U_208,U_207) ),
inference(clausify,[status(thm)],[f_47_4]) ).
fof(f_48_1,plain,
! [Xa,Xb,Xc,Xa1,Xb1] :
( s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1))
| ~ s_e(Xa,Xb,Xa1,Xb1)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_14]) ).
fof(f_48_2,plain,
! [U_214,U_213,U_212,U_211,U_210] :
( s_e3(U_214,U_213,U_212,U_211,U_210,insert5(U_214,U_213,U_212,U_211,U_210))
| ~ s_e(U_214,U_213,U_211,U_210)
| ~ s_col(U_214,U_213,U_212) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
! [U_214,U_213,U_212] :
( ! [U_211,U_210] :
( s_e3(U_214,U_213,U_212,U_211,U_210,insert5(U_214,U_213,U_212,U_211,U_210))
| ~ s_e(U_214,U_213,U_211,U_210) )
| ~ s_col(U_214,U_213,U_212) ),
inference(miniscope,[status(thm)],[f_48_2]) ).
fof(f_48_4,plain,
! [U_210,U_212,U_211,U_213,U_214] :
( s_e3(U_214,U_213,U_212,U_211,U_210,insert5(U_214,U_213,U_212,U_211,U_210))
| ~ s_e(U_214,U_213,U_211,U_210)
| ~ s_col(U_214,U_213,U_212) ),
inference(definitional_conversion,[status(esa)],[f_48_3]) ).
cnf(f_48_5,plain,
( s_e3(U_214,U_213,U_212,U_211,U_210,insert5(U_214,U_213,U_212,U_211,U_210))
| ~ s_e(U_214,U_213,U_211,U_210)
| ~ s_col(U_214,U_213,U_212) ),
inference(clausify,[status(thm)],[f_48_4]) ).
fof(f_49_1,plain,
! [Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1] :
( s_e(Xc,Xd,Xc1,Xd1)
| Xa = Xb
| ~ s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) ),
inference(fof_nnf,[status(thm)],[aSatz4_16]) ).
fof(f_49_2,plain,
! [U_222,U_221,U_220,U_219,U_218,U_217,U_216,U_215] :
( s_e(U_220,U_219,U_216,U_215)
| U_222 = U_221
| ~ s_fs(U_222,U_221,U_220,U_219,U_218,U_217,U_216,U_215) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
! [U_222,U_221] :
( ! [U_220,U_219,U_218,U_217,U_216,U_215] :
( s_e(U_220,U_219,U_216,U_215)
| ~ s_fs(U_222,U_221,U_220,U_219,U_218,U_217,U_216,U_215) )
| U_222 = U_221 ),
inference(miniscope,[status(thm)],[f_49_2]) ).
fof(f_49_4,plain,
! [U_219,U_218,U_221,U_222,U_216,U_220,U_217,U_215] :
( s_e(U_220,U_219,U_216,U_215)
| ~ s_fs(U_222,U_221,U_220,U_219,U_218,U_217,U_216,U_215)
| U_222 = U_221 ),
inference(definitional_conversion,[status(esa)],[f_49_3]) ).
cnf(f_49_5,plain,
( s_e(U_220,U_219,U_216,U_215)
| ~ s_fs(U_222,U_221,U_220,U_219,U_218,U_217,U_216,U_215)
| U_222 = U_221 ),
inference(clausify,[status(thm)],[f_49_4]) ).
fof(f_50_1,plain,
! [Xa,Xb,Xc,Xp,Xq] :
( s_e(Xc,Xp,Xc,Xq)
| ~ s_e(Xb,Xp,Xb,Xq)
| ~ s_e(Xa,Xp,Xa,Xq)
| ~ s_col(Xa,Xb,Xc)
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz4_17]) ).
fof(f_50_2,plain,
! [U_227,U_226,U_225,U_224,U_223] :
( s_e(U_225,U_224,U_225,U_223)
| ~ s_e(U_226,U_224,U_226,U_223)
| ~ s_e(U_227,U_224,U_227,U_223)
| ~ s_col(U_227,U_226,U_225)
| U_227 = U_226 ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
! [U_227,U_226] :
( ! [U_225] :
( ! [U_224,U_223] :
( s_e(U_225,U_224,U_225,U_223)
| ~ s_e(U_226,U_224,U_226,U_223)
| ~ s_e(U_227,U_224,U_227,U_223) )
| ~ s_col(U_227,U_226,U_225) )
| U_227 = U_226 ),
inference(miniscope,[status(thm)],[f_50_2]) ).
fof(f_50_4,plain,
! [U_227,U_226,U_225,U_224,U_223] :
( s_e(U_225,U_224,U_225,U_223)
| ~ s_e(U_226,U_224,U_226,U_223)
| ~ s_e(U_227,U_224,U_227,U_223)
| ~ s_col(U_227,U_226,U_225)
| U_227 = U_226 ),
inference(definitional_conversion,[status(esa)],[f_50_3]) ).
cnf(f_50_5,plain,
( s_e(U_225,U_224,U_225,U_223)
| ~ s_e(U_226,U_224,U_226,U_223)
| ~ s_e(U_227,U_224,U_227,U_223)
| ~ s_col(U_227,U_226,U_225)
| U_227 = U_226 ),
inference(clausify,[status(thm)],[f_50_4]) ).
fof(f_51_1,plain,
! [Xa,Xb,Xc,Xc1] :
( Xc = Xc1
| ~ s_e(Xb,Xc,Xb,Xc1)
| ~ s_e(Xa,Xc,Xa,Xc1)
| ~ s_col(Xa,Xb,Xc)
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz4_18]) ).
fof(f_51_2,plain,
! [U_231,U_230,U_229,U_228] :
( U_229 = U_228
| ~ s_e(U_230,U_229,U_230,U_228)
| ~ s_e(U_231,U_229,U_231,U_228)
| ~ s_col(U_231,U_230,U_229)
| U_231 = U_230 ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
fof(f_51_3,plain,
! [U_231,U_230] :
( ! [U_229] :
( ! [U_228] :
( U_229 = U_228
| ~ s_e(U_230,U_229,U_230,U_228)
| ~ s_e(U_231,U_229,U_231,U_228) )
| ~ s_col(U_231,U_230,U_229) )
| U_231 = U_230 ),
inference(miniscope,[status(thm)],[f_51_2]) ).
fof(f_51_4,plain,
! [U_230,U_231,U_229,U_228] :
( U_229 = U_228
| ~ s_e(U_230,U_229,U_230,U_228)
| ~ s_e(U_231,U_229,U_231,U_228)
| ~ s_col(U_231,U_230,U_229)
| U_231 = U_230 ),
inference(definitional_conversion,[status(esa)],[f_51_3]) ).
cnf(f_51_5,plain,
( U_229 = U_228
| ~ s_e(U_230,U_229,U_230,U_228)
| ~ s_e(U_231,U_229,U_231,U_228)
| ~ s_col(U_231,U_230,U_229)
| U_231 = U_230 ),
inference(clausify,[status(thm)],[f_51_4]) ).
fof(f_52_1,plain,
! [Xa,Xc,Xb,Xc1] :
( Xc = Xc1
| ~ s_e(Xb,Xc,Xb,Xc1)
| ~ s_e(Xa,Xc,Xa,Xc1)
| ~ s_t(Xa,Xc,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz4_19]) ).
fof(f_52_2,plain,
! [U_235,U_234,U_233,U_232] :
( U_234 = U_232
| ~ s_e(U_233,U_234,U_233,U_232)
| ~ s_e(U_235,U_234,U_235,U_232)
| ~ s_t(U_235,U_234,U_233) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
fof(f_52_3,plain,
! [U_235,U_234,U_233] :
( ! [U_232] :
( U_234 = U_232
| ~ s_e(U_233,U_234,U_233,U_232)
| ~ s_e(U_235,U_234,U_235,U_232) )
| ~ s_t(U_235,U_234,U_233) ),
inference(miniscope,[status(thm)],[f_52_2]) ).
fof(f_52_4,plain,
! [U_235,U_234,U_232,U_233] :
( U_234 = U_232
| ~ s_e(U_233,U_234,U_233,U_232)
| ~ s_e(U_235,U_234,U_235,U_232)
| ~ s_t(U_235,U_234,U_233) ),
inference(definitional_conversion,[status(esa)],[f_52_3]) ).
cnf(f_52_5,plain,
( U_234 = U_232
| ~ s_e(U_233,U_234,U_233,U_232)
| ~ s_e(U_235,U_234,U_235,U_232)
| ~ s_t(U_235,U_234,U_233) ),
inference(clausify,[status(thm)],[f_52_4]) ).
fof(f_53_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_t(Xa,Xd,Xc)
| s_t(Xa,Xc,Xd)
| ~ s_t(Xa,Xb,Xd)
| ~ s_t(Xa,Xb,Xc)
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz5_1]) ).
fof(f_53_2,plain,
! [U_239,U_238,U_237,U_236] :
( s_t(U_239,U_236,U_237)
| s_t(U_239,U_237,U_236)
| ~ s_t(U_239,U_238,U_236)
| ~ s_t(U_239,U_238,U_237)
| U_239 = U_238 ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
fof(f_53_3,plain,
! [U_239,U_238] :
( ! [U_237] :
( ! [U_236] :
( s_t(U_239,U_236,U_237)
| s_t(U_239,U_237,U_236)
| ~ s_t(U_239,U_238,U_236) )
| ~ s_t(U_239,U_238,U_237) )
| U_239 = U_238 ),
inference(miniscope,[status(thm)],[f_53_2]) ).
fof(f_53_4,plain,
! [U_239,U_238,U_236,U_237] :
( s_t(U_239,U_236,U_237)
| s_t(U_239,U_237,U_236)
| ~ s_t(U_239,U_238,U_236)
| ~ s_t(U_239,U_238,U_237)
| U_239 = U_238 ),
inference(definitional_conversion,[status(esa)],[f_53_3]) ).
cnf(f_53_5,plain,
( s_t(U_239,U_236,U_237)
| s_t(U_239,U_237,U_236)
| ~ s_t(U_239,U_238,U_236)
| ~ s_t(U_239,U_238,U_237)
| U_239 = U_238 ),
inference(clausify,[status(thm)],[f_53_4]) ).
fof(f_54_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_t(Xb,Xd,Xc)
| s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xd)
| ~ s_t(Xa,Xb,Xc)
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz5_2]) ).
fof(f_54_2,plain,
! [U_243,U_242,U_241,U_240] :
( s_t(U_242,U_240,U_241)
| s_t(U_242,U_241,U_240)
| ~ s_t(U_243,U_242,U_240)
| ~ s_t(U_243,U_242,U_241)
| U_243 = U_242 ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
fof(f_54_3,plain,
! [U_243,U_242] :
( ! [U_241] :
( ! [U_240] :
( s_t(U_242,U_240,U_241)
| s_t(U_242,U_241,U_240)
| ~ s_t(U_243,U_242,U_240) )
| ~ s_t(U_243,U_242,U_241) )
| U_243 = U_242 ),
inference(miniscope,[status(thm)],[f_54_2]) ).
fof(f_54_4,plain,
! [U_242,U_243,U_240,U_241] :
( s_t(U_242,U_240,U_241)
| s_t(U_242,U_241,U_240)
| ~ s_t(U_243,U_242,U_240)
| ~ s_t(U_243,U_242,U_241)
| U_243 = U_242 ),
inference(definitional_conversion,[status(esa)],[f_54_3]) ).
cnf(f_54_5,plain,
( s_t(U_242,U_240,U_241)
| s_t(U_242,U_241,U_240)
| ~ s_t(U_243,U_242,U_240)
| ~ s_t(U_243,U_242,U_241)
| U_243 = U_242 ),
inference(clausify,[status(thm)],[f_54_4]) ).
fof(f_55_1,plain,
! [Xa,Xb,Xd,Xc] :
( s_t(Xa,Xc,Xb)
| s_t(Xa,Xb,Xc)
| ~ s_t(Xa,Xc,Xd)
| ~ s_t(Xa,Xb,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz5_3]) ).
fof(f_55_2,plain,
! [U_247,U_246,U_245,U_244] :
( s_t(U_247,U_244,U_246)
| s_t(U_247,U_246,U_244)
| ~ s_t(U_247,U_244,U_245)
| ~ s_t(U_247,U_246,U_245) ),
inference(variable_rename,[status(thm)],[f_55_1]) ).
fof(f_55_3,plain,
! [U_247,U_246,U_245] :
( ! [U_244] :
( s_t(U_247,U_244,U_246)
| s_t(U_247,U_246,U_244)
| ~ s_t(U_247,U_244,U_245) )
| ~ s_t(U_247,U_246,U_245) ),
inference(miniscope,[status(thm)],[f_55_2]) ).
fof(f_55_4,plain,
! [U_245,U_246,U_244,U_247] :
( s_t(U_247,U_244,U_246)
| s_t(U_247,U_246,U_244)
| ~ s_t(U_247,U_244,U_245)
| ~ s_t(U_247,U_246,U_245) ),
inference(definitional_conversion,[status(esa)],[f_55_3]) ).
cnf(f_55_5,plain,
( s_t(U_247,U_244,U_246)
| s_t(U_247,U_246,U_244)
| ~ s_t(U_247,U_244,U_245)
| ~ s_t(U_247,U_246,U_245) ),
inference(clausify,[status(thm)],[f_55_4]) ).
fof(f_56_1,plain,
! [Xa,Xb,Xc,Xd] :
( ( ins(Xc,Xd,Xa,Xb) = ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd)
| ~ le(Xa,Xb,Xc,Xd) )
& ( s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd)
| ~ le(Xa,Xb,Xc,Xd) )
& ( s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb))
| ~ le(Xa,Xb,Xc,Xd) ) ),
inference(fof_nnf,[status(thm)],[aSatz5_5a]) ).
fof(f_56_2,plain,
! [U_251,U_250,U_249,U_248] :
( ( ins(U_249,U_248,U_251,U_250) = ext(U_251,U_250,insert(U_251,U_250,U_249,U_248),U_248)
| ~ le(U_251,U_250,U_249,U_248) )
& ( s_e(U_251,ins(U_249,U_248,U_251,U_250),U_249,U_248)
| ~ le(U_251,U_250,U_249,U_248) )
& ( s_t(U_251,U_250,ins(U_249,U_248,U_251,U_250))
| ~ le(U_251,U_250,U_249,U_248) ) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
fof(f_56_3,plain,
( ! [U_263,U_260,U_257,U_254] :
( ins(U_257,U_254,U_263,U_260) = ext(U_263,U_260,insert(U_263,U_260,U_257,U_254),U_254)
| ~ le(U_263,U_260,U_257,U_254) )
& ! [U_262,U_259,U_256,U_253] :
( s_e(U_262,ins(U_256,U_253,U_262,U_259),U_256,U_253)
| ~ le(U_262,U_259,U_256,U_253) )
& ! [U_261,U_258,U_255,U_252] :
( s_t(U_261,U_258,ins(U_255,U_252,U_261,U_258))
| ~ le(U_261,U_258,U_255,U_252) ) ),
inference(miniscope,[status(thm)],[f_56_2]) ).
fof(f_56_4,plain,
( ! [U_254,U_257,U_260,U_263] :
( ins(U_257,U_254,U_263,U_260) = ext(U_263,U_260,insert(U_263,U_260,U_257,U_254),U_254)
| ~ le(U_263,U_260,U_257,U_254) )
& ! [U_262,U_256,U_259,U_253] :
( s_e(U_262,ins(U_256,U_253,U_262,U_259),U_256,U_253)
| ~ le(U_262,U_259,U_256,U_253) )
& ! [U_255,U_252,U_258,U_261] :
( s_t(U_261,U_258,ins(U_255,U_252,U_261,U_258))
| ~ le(U_261,U_258,U_255,U_252) ) ),
inference(definitional_conversion,[status(esa)],[f_56_3]) ).
cnf(f_56_5,plain,
( s_t(U_261,U_258,ins(U_255,U_252,U_261,U_258))
| ~ le(U_261,U_258,U_255,U_252) ),
inference(clausify,[status(thm)],[f_56_4]) ).
cnf(f_56_6,plain,
( s_e(U_262,ins(U_256,U_253,U_262,U_259),U_256,U_253)
| ~ le(U_262,U_259,U_256,U_253) ),
inference(clausify,[status(thm)],[f_56_4]) ).
cnf(f_56_7,plain,
( ins(U_257,U_254,U_263,U_260) = ext(U_263,U_260,insert(U_263,U_260,U_257,U_254),U_254)
| ~ le(U_263,U_260,U_257,U_254) ),
inference(clausify,[status(thm)],[f_56_4]) ).
fof(f_57_1,plain,
! [Xa,Xb,Xc,Xd,Xe] :
( ~ s_e(Xa,Xe,Xc,Xd)
| ~ s_t(Xa,Xb,Xe)
| le(Xa,Xb,Xc,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz5_5b]) ).
fof(f_57_2,plain,
! [U_268,U_267,U_266,U_265,U_264] :
( ~ s_e(U_268,U_264,U_266,U_265)
| ~ s_t(U_268,U_267,U_264)
| le(U_268,U_267,U_266,U_265) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
fof(f_57_3,plain,
! [U_268,U_267,U_266,U_265] :
( ! [U_264] :
( ~ s_e(U_268,U_264,U_266,U_265)
| ~ s_t(U_268,U_267,U_264) )
| le(U_268,U_267,U_266,U_265) ),
inference(miniscope,[status(thm)],[f_57_2]) ).
fof(f_57_4,plain,
! [U_265,U_264,U_268,U_267,U_266] :
( ~ s_e(U_268,U_264,U_266,U_265)
| ~ s_t(U_268,U_267,U_264)
| le(U_268,U_267,U_266,U_265) ),
inference(definitional_conversion,[status(esa)],[f_57_3]) ).
cnf(f_57_5,plain,
( ~ s_e(U_268,U_264,U_266,U_265)
| ~ s_t(U_268,U_267,U_264)
| le(U_268,U_267,U_266,U_265) ),
inference(clausify,[status(thm)],[f_57_4]) ).
fof(f_58_1,plain,
! [Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1] :
( le(Xa1,Xb1,Xc1,Xd1)
| ~ s_e(Xc,Xd,Xc1,Xd1)
| ~ s_e(Xa,Xb,Xa1,Xb1)
| ~ le(Xa,Xb,Xc,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz5_6]) ).
fof(f_58_2,plain,
! [U_276,U_275,U_274,U_273,U_272,U_271,U_270,U_269] :
( le(U_272,U_271,U_270,U_269)
| ~ s_e(U_274,U_273,U_270,U_269)
| ~ s_e(U_276,U_275,U_272,U_271)
| ~ le(U_276,U_275,U_274,U_273) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
! [U_276,U_275,U_274,U_273] :
( ! [U_272,U_271] :
( ! [U_270,U_269] :
( le(U_272,U_271,U_270,U_269)
| ~ s_e(U_274,U_273,U_270,U_269) )
| ~ s_e(U_276,U_275,U_272,U_271) )
| ~ le(U_276,U_275,U_274,U_273) ),
inference(miniscope,[status(thm)],[f_58_2]) ).
fof(f_58_4,plain,
! [U_269,U_270,U_274,U_275,U_276,U_271,U_272,U_273] :
( le(U_272,U_271,U_270,U_269)
| ~ s_e(U_274,U_273,U_270,U_269)
| ~ s_e(U_276,U_275,U_272,U_271)
| ~ le(U_276,U_275,U_274,U_273) ),
inference(definitional_conversion,[status(esa)],[f_58_3]) ).
cnf(f_58_5,plain,
( le(U_272,U_271,U_270,U_269)
| ~ s_e(U_274,U_273,U_270,U_269)
| ~ s_e(U_276,U_275,U_272,U_271)
| ~ le(U_276,U_275,U_274,U_273) ),
inference(clausify,[status(thm)],[f_58_4]) ).
fof(f_59_1,plain,
! [Xa,Xb] : le(Xa,Xb,Xa,Xb),
inference(fof_nnf,[status(thm)],[aSatz5_7]) ).
fof(f_59_2,plain,
! [U_278,U_277] : le(U_278,U_277,U_278,U_277),
inference(variable_rename,[status(thm)],[f_59_1]) ).
fof(f_59_3,plain,
! [U_277,U_278] : le(U_278,U_277,U_278,U_277),
inference(definitional_conversion,[status(esa)],[f_59_2]) ).
cnf(f_59_4,plain,
le(U_278,U_277,U_278,U_277),
inference(clausify,[status(thm)],[f_59_3]) ).
fof(f_60_1,plain,
! [Xa,Xb,Xc,Xd,Xe,Xf] :
( le(Xa,Xb,Xe,Xf)
| ~ le(Xc,Xd,Xe,Xf)
| ~ le(Xa,Xb,Xc,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz5_8]) ).
fof(f_60_2,plain,
! [U_284,U_283,U_282,U_281,U_280,U_279] :
( le(U_284,U_283,U_280,U_279)
| ~ le(U_282,U_281,U_280,U_279)
| ~ le(U_284,U_283,U_282,U_281) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
fof(f_60_3,plain,
! [U_284,U_283,U_282,U_281] :
( ! [U_280,U_279] :
( le(U_284,U_283,U_280,U_279)
| ~ le(U_282,U_281,U_280,U_279) )
| ~ le(U_284,U_283,U_282,U_281) ),
inference(miniscope,[status(thm)],[f_60_2]) ).
fof(f_60_4,plain,
! [U_282,U_284,U_279,U_280,U_281,U_283] :
( le(U_284,U_283,U_280,U_279)
| ~ le(U_282,U_281,U_280,U_279)
| ~ le(U_284,U_283,U_282,U_281) ),
inference(definitional_conversion,[status(esa)],[f_60_3]) ).
cnf(f_60_5,plain,
( le(U_284,U_283,U_280,U_279)
| ~ le(U_282,U_281,U_280,U_279)
| ~ le(U_284,U_283,U_282,U_281) ),
inference(clausify,[status(thm)],[f_60_4]) ).
fof(f_61_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_e(Xa,Xb,Xc,Xd)
| ~ le(Xc,Xd,Xa,Xb)
| ~ le(Xa,Xb,Xc,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz5_9]) ).
fof(f_61_2,plain,
! [U_288,U_287,U_286,U_285] :
( s_e(U_288,U_287,U_286,U_285)
| ~ le(U_286,U_285,U_288,U_287)
| ~ le(U_288,U_287,U_286,U_285) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
fof(f_61_3,plain,
! [U_288,U_285,U_287,U_286] :
( s_e(U_288,U_287,U_286,U_285)
| ~ le(U_286,U_285,U_288,U_287)
| ~ le(U_288,U_287,U_286,U_285) ),
inference(definitional_conversion,[status(esa)],[f_61_2]) ).
cnf(f_61_4,plain,
( s_e(U_288,U_287,U_286,U_285)
| ~ le(U_286,U_285,U_288,U_287)
| ~ le(U_288,U_287,U_286,U_285) ),
inference(clausify,[status(thm)],[f_61_3]) ).
fof(f_62_1,plain,
! [Xa,Xb,Xc,Xd] :
( le(Xc,Xd,Xa,Xb)
| le(Xa,Xb,Xc,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz5_10]) ).
fof(f_62_2,plain,
! [U_292,U_291,U_290,U_289] :
( le(U_290,U_289,U_292,U_291)
| le(U_292,U_291,U_290,U_289) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
! [U_291,U_289,U_292,U_290] :
( le(U_290,U_289,U_292,U_291)
| le(U_292,U_291,U_290,U_289) ),
inference(definitional_conversion,[status(esa)],[f_62_2]) ).
cnf(f_62_4,plain,
( le(U_290,U_289,U_292,U_291)
| le(U_292,U_291,U_290,U_289) ),
inference(clausify,[status(thm)],[f_62_3]) ).
fof(f_63_1,plain,
! [Xa,Xc,Xd] : le(Xa,Xa,Xc,Xd),
inference(fof_nnf,[status(thm)],[aSatz5_11]) ).
fof(f_63_2,plain,
! [U_295,U_294,U_293] : le(U_295,U_295,U_294,U_293),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
! [U_294,U_293,U_295] : le(U_295,U_295,U_294,U_293),
inference(definitional_conversion,[status(esa)],[f_63_2]) ).
cnf(f_63_4,plain,
le(U_295,U_295,U_294,U_293),
inference(clausify,[status(thm)],[f_63_3]) ).
fof(f_64_1,plain,
! [Xa,Xb,Xc] :
( le(Xa,Xb,Xa,Xc)
| ~ s_t(Xa,Xb,Xc)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz5_12a1]) ).
fof(f_64_2,plain,
! [U_298,U_297,U_296] :
( le(U_298,U_297,U_298,U_296)
| ~ s_t(U_298,U_297,U_296)
| ~ s_col(U_298,U_297,U_296) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
! [U_298,U_296,U_297] :
( le(U_298,U_297,U_298,U_296)
| ~ s_t(U_298,U_297,U_296)
| ~ s_col(U_298,U_297,U_296) ),
inference(definitional_conversion,[status(esa)],[f_64_2]) ).
cnf(f_64_4,plain,
( le(U_298,U_297,U_298,U_296)
| ~ s_t(U_298,U_297,U_296)
| ~ s_col(U_298,U_297,U_296) ),
inference(clausify,[status(thm)],[f_64_3]) ).
fof(f_65_1,plain,
! [Xa,Xb,Xc] :
( le(Xb,Xc,Xa,Xc)
| ~ s_t(Xa,Xb,Xc)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz5_12a2]) ).
fof(f_65_2,plain,
! [U_301,U_300,U_299] :
( le(U_300,U_299,U_301,U_299)
| ~ s_t(U_301,U_300,U_299)
| ~ s_col(U_301,U_300,U_299) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
! [U_301,U_299,U_300] :
( le(U_300,U_299,U_301,U_299)
| ~ s_t(U_301,U_300,U_299)
| ~ s_col(U_301,U_300,U_299) ),
inference(definitional_conversion,[status(esa)],[f_65_2]) ).
cnf(f_65_4,plain,
( le(U_300,U_299,U_301,U_299)
| ~ s_t(U_301,U_300,U_299)
| ~ s_col(U_301,U_300,U_299) ),
inference(clausify,[status(thm)],[f_65_3]) ).
fof(f_66_1,plain,
! [Xa,Xb,Xc] :
( Xc = Xb
| ~ s_e(Xa,Xc,Xa,Xb)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aNarbouxLemma1]) ).
fof(f_66_2,plain,
! [U_304,U_303,U_302] :
( U_302 = U_303
| ~ s_e(U_304,U_302,U_304,U_303)
| ~ s_t(U_304,U_303,U_302) ),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
! [U_304,U_303,U_302] :
( U_302 = U_303
| ~ s_e(U_304,U_302,U_304,U_303)
| ~ s_t(U_304,U_303,U_302) ),
inference(definitional_conversion,[status(esa)],[f_66_2]) ).
cnf(f_66_4,plain,
( U_302 = U_303
| ~ s_e(U_304,U_302,U_304,U_303)
| ~ s_t(U_304,U_303,U_302) ),
inference(clausify,[status(thm)],[f_66_3]) ).
fof(f_67_1,plain,
! [Xa,Xb,Xc] :
( ~ le(Xb,Xc,Xa,Xc)
| ~ le(Xa,Xb,Xa,Xc)
| s_t(Xa,Xb,Xc)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz5_12b]) ).
fof(f_67_2,plain,
! [U_307,U_306,U_305] :
( ~ le(U_306,U_305,U_307,U_305)
| ~ le(U_307,U_306,U_307,U_305)
| s_t(U_307,U_306,U_305)
| ~ s_col(U_307,U_306,U_305) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
! [U_306,U_305,U_307] :
( ~ le(U_306,U_305,U_307,U_305)
| ~ le(U_307,U_306,U_307,U_305)
| s_t(U_307,U_306,U_305)
| ~ s_col(U_307,U_306,U_305) ),
inference(definitional_conversion,[status(esa)],[f_67_2]) ).
cnf(f_67_4,plain,
( ~ le(U_306,U_305,U_307,U_305)
| ~ le(U_307,U_306,U_307,U_305)
| s_t(U_307,U_306,U_305)
| ~ s_col(U_307,U_306,U_305) ),
inference(clausify,[status(thm)],[f_67_3]) ).
fof(f_68_1,plain,
! [Xa,Xp,Xb,Xc] :
( sameside(Xa,Xp,Xb)
| ~ s_t(Xb,Xp,Xc)
| ~ s_t(Xa,Xp,Xc)
| Xc = Xp
| Xb = Xp
| Xa = Xp ),
inference(fof_nnf,[status(thm)],[aSatz6_2a]) ).
fof(f_68_2,plain,
! [U_311,U_310,U_309,U_308] :
( sameside(U_311,U_310,U_309)
| ~ s_t(U_309,U_310,U_308)
| ~ s_t(U_311,U_310,U_308)
| U_308 = U_310
| U_309 = U_310
| U_311 = U_310 ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
fof(f_68_3,plain,
! [U_311,U_310] :
( ! [U_309] :
( ! [U_308] :
( ~ s_t(U_309,U_310,U_308)
| ~ s_t(U_311,U_310,U_308)
| U_308 = U_310 )
| sameside(U_311,U_310,U_309)
| U_309 = U_310 )
| U_311 = U_310 ),
inference(miniscope,[status(thm)],[f_68_2]) ).
fof(f_68_4,plain,
! [U_311,U_309,U_308,U_310] :
( ~ s_t(U_309,U_310,U_308)
| ~ s_t(U_311,U_310,U_308)
| U_308 = U_310
| sameside(U_311,U_310,U_309)
| U_309 = U_310
| U_311 = U_310 ),
inference(definitional_conversion,[status(esa)],[f_68_3]) ).
cnf(f_68_5,plain,
( ~ s_t(U_309,U_310,U_308)
| ~ s_t(U_311,U_310,U_308)
| U_308 = U_310
| sameside(U_311,U_310,U_309)
| U_309 = U_310
| U_311 = U_310 ),
inference(clausify,[status(thm)],[f_68_4]) ).
fof(f_69_1,plain,
! [Xa,Xp,Xb,Xc] :
( ~ sameside(Xa,Xp,Xb)
| s_t(Xb,Xp,Xc)
| ~ s_t(Xa,Xp,Xc)
| Xc = Xp
| Xb = Xp
| Xa = Xp ),
inference(fof_nnf,[status(thm)],[aSatz6_2b]) ).
fof(f_69_2,plain,
! [U_315,U_314,U_313,U_312] :
( ~ sameside(U_315,U_314,U_313)
| s_t(U_313,U_314,U_312)
| ~ s_t(U_315,U_314,U_312)
| U_312 = U_314
| U_313 = U_314
| U_315 = U_314 ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
! [U_315,U_314] :
( ! [U_313] :
( ! [U_312] :
( s_t(U_313,U_314,U_312)
| ~ s_t(U_315,U_314,U_312)
| U_312 = U_314 )
| ~ sameside(U_315,U_314,U_313)
| U_313 = U_314 )
| U_315 = U_314 ),
inference(miniscope,[status(thm)],[f_69_2]) ).
fof(f_69_4,plain,
! [U_314,U_315,U_312,U_313] :
( s_t(U_313,U_314,U_312)
| ~ s_t(U_315,U_314,U_312)
| U_312 = U_314
| ~ sameside(U_315,U_314,U_313)
| U_313 = U_314
| U_315 = U_314 ),
inference(definitional_conversion,[status(esa)],[f_69_3]) ).
cnf(f_69_5,plain,
( s_t(U_313,U_314,U_312)
| ~ s_t(U_315,U_314,U_312)
| U_312 = U_314
| ~ sameside(U_315,U_314,U_313)
| U_313 = U_314
| U_315 = U_314 ),
inference(clausify,[status(thm)],[f_69_4]) ).
fof(f_70_1,plain,
! [Xa,Xp,Xb] :
( ( s_t(Xb,Xp,c63(Xa,Xp,Xb))
| ~ sameside(Xa,Xp,Xb) )
& ( s_t(Xa,Xp,c63(Xa,Xp,Xb))
| ~ sameside(Xa,Xp,Xb) )
& ( c63(Xa,Xp,Xb) != Xp
| ~ sameside(Xa,Xp,Xb) )
& ( Xb != Xp
| ~ sameside(Xa,Xp,Xb) )
& ( Xa != Xp
| ~ sameside(Xa,Xp,Xb) ) ),
inference(fof_nnf,[status(thm)],[aSatz6_3a]) ).
fof(f_70_2,plain,
! [U_318,U_317,U_316] :
( ( s_t(U_316,U_317,c63(U_318,U_317,U_316))
| ~ sameside(U_318,U_317,U_316) )
& ( s_t(U_318,U_317,c63(U_318,U_317,U_316))
| ~ sameside(U_318,U_317,U_316) )
& ( c63(U_318,U_317,U_316) != U_317
| ~ sameside(U_318,U_317,U_316) )
& ( U_316 != U_317
| ~ sameside(U_318,U_317,U_316) )
& ( U_318 != U_317
| ~ sameside(U_318,U_317,U_316) ) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
( ! [U_333,U_328,U_323] :
( s_t(U_323,U_328,c63(U_333,U_328,U_323))
| ~ sameside(U_333,U_328,U_323) )
& ! [U_332,U_327,U_322] :
( s_t(U_332,U_327,c63(U_332,U_327,U_322))
| ~ sameside(U_332,U_327,U_322) )
& ! [U_331,U_326,U_321] :
( c63(U_331,U_326,U_321) != U_326
| ~ sameside(U_331,U_326,U_321) )
& ! [U_330,U_325,U_320] :
( U_320 != U_325
| ~ sameside(U_330,U_325,U_320) )
& ! [U_329,U_324] :
( ! [U_319] : ~ sameside(U_329,U_324,U_319)
| U_329 != U_324 ) ),
inference(miniscope,[status(thm)],[f_70_2]) ).
fof(f_70_4,plain,
( ! [U_323,U_328,U_333] :
( s_t(U_323,U_328,c63(U_333,U_328,U_323))
| ~ sameside(U_333,U_328,U_323) )
& ! [U_332,U_327,U_322] :
( s_t(U_332,U_327,c63(U_332,U_327,U_322))
| ~ sameside(U_332,U_327,U_322) )
& ! [U_331,U_321,U_326] :
( c63(U_331,U_326,U_321) != U_326
| ~ sameside(U_331,U_326,U_321) )
& ! [U_320,U_330,U_325] :
( U_320 != U_325
| ~ sameside(U_330,U_325,U_320) )
& ! [U_319,U_324,U_329] :
( ~ sameside(U_329,U_324,U_319)
| U_329 != U_324 ) ),
inference(definitional_conversion,[status(esa)],[f_70_3]) ).
cnf(f_70_5,plain,
( ~ sameside(U_329,U_324,U_319)
| U_329 != U_324 ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_6,plain,
( U_320 != U_325
| ~ sameside(U_330,U_325,U_320) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_7,plain,
( c63(U_331,U_326,U_321) != U_326
| ~ sameside(U_331,U_326,U_321) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_8,plain,
( s_t(U_332,U_327,c63(U_332,U_327,U_322))
| ~ sameside(U_332,U_327,U_322) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_9,plain,
( s_t(U_323,U_328,c63(U_333,U_328,U_323))
| ~ sameside(U_333,U_328,U_323) ),
inference(clausify,[status(thm)],[f_70_4]) ).
fof(f_71_1,plain,
! [Xa,Xp,Xb,Xc] :
( ~ s_t(Xb,Xp,Xc)
| ~ s_t(Xa,Xp,Xc)
| Xc = Xp
| Xb = Xp
| Xa = Xp
| sameside(Xa,Xp,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz6_3b]) ).
fof(f_71_2,plain,
! [U_337,U_336,U_335,U_334] :
( ~ s_t(U_335,U_336,U_334)
| ~ s_t(U_337,U_336,U_334)
| U_334 = U_336
| U_335 = U_336
| U_337 = U_336
| sameside(U_337,U_336,U_335) ),
inference(variable_rename,[status(thm)],[f_71_1]) ).
fof(f_71_3,plain,
! [U_337,U_336] :
( ! [U_335] :
( ! [U_334] :
( ~ s_t(U_335,U_336,U_334)
| ~ s_t(U_337,U_336,U_334)
| U_334 = U_336 )
| U_335 = U_336
| sameside(U_337,U_336,U_335) )
| U_337 = U_336 ),
inference(miniscope,[status(thm)],[f_71_2]) ).
fof(f_71_4,plain,
! [U_335,U_334,U_337,U_336] :
( ~ s_t(U_335,U_336,U_334)
| ~ s_t(U_337,U_336,U_334)
| U_334 = U_336
| U_335 = U_336
| sameside(U_337,U_336,U_335)
| U_337 = U_336 ),
inference(definitional_conversion,[status(esa)],[f_71_3]) ).
cnf(f_71_5,plain,
( ~ s_t(U_335,U_336,U_334)
| ~ s_t(U_337,U_336,U_334)
| U_334 = U_336
| U_335 = U_336
| sameside(U_337,U_336,U_335)
| U_337 = U_336 ),
inference(clausify,[status(thm)],[f_71_4]) ).
fof(f_72_1,plain,
! [Xa,Xp,Xb] :
( ( ~ s_t(Xa,Xp,Xb)
| ~ sameside(Xa,Xp,Xb) )
& ( s_col(Xa,Xp,Xb)
| ~ sameside(Xa,Xp,Xb) ) ),
inference(fof_nnf,[status(thm)],[aSatz6_4a]) ).
fof(f_72_2,plain,
! [U_340,U_339,U_338] :
( ( ~ s_t(U_340,U_339,U_338)
| ~ sameside(U_340,U_339,U_338) )
& ( s_col(U_340,U_339,U_338)
| ~ sameside(U_340,U_339,U_338) ) ),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
( ! [U_346,U_344,U_342] :
( ~ s_t(U_346,U_344,U_342)
| ~ sameside(U_346,U_344,U_342) )
& ! [U_345,U_343,U_341] :
( s_col(U_345,U_343,U_341)
| ~ sameside(U_345,U_343,U_341) ) ),
inference(miniscope,[status(thm)],[f_72_2]) ).
fof(f_72_4,plain,
( ! [U_346,U_344,U_342] :
( ~ s_t(U_346,U_344,U_342)
| ~ sameside(U_346,U_344,U_342) )
& ! [U_343,U_345,U_341] :
( s_col(U_345,U_343,U_341)
| ~ sameside(U_345,U_343,U_341) ) ),
inference(definitional_conversion,[status(esa)],[f_72_3]) ).
cnf(f_72_5,plain,
( s_col(U_345,U_343,U_341)
| ~ sameside(U_345,U_343,U_341) ),
inference(clausify,[status(thm)],[f_72_4]) ).
cnf(f_72_6,plain,
( ~ s_t(U_346,U_344,U_342)
| ~ sameside(U_346,U_344,U_342) ),
inference(clausify,[status(thm)],[f_72_4]) ).
fof(f_73_1,plain,
! [Xa,Xp,Xb] :
( s_t(Xa,Xp,Xb)
| ~ s_col(Xa,Xp,Xb)
| sameside(Xa,Xp,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz6_4b]) ).
fof(f_73_2,plain,
! [U_349,U_348,U_347] :
( s_t(U_349,U_348,U_347)
| ~ s_col(U_349,U_348,U_347)
| sameside(U_349,U_348,U_347) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
! [U_347,U_349,U_348] :
( s_t(U_349,U_348,U_347)
| ~ s_col(U_349,U_348,U_347)
| sameside(U_349,U_348,U_347) ),
inference(definitional_conversion,[status(esa)],[f_73_2]) ).
cnf(f_73_4,plain,
( s_t(U_349,U_348,U_347)
| ~ s_col(U_349,U_348,U_347)
| sameside(U_349,U_348,U_347) ),
inference(clausify,[status(thm)],[f_73_3]) ).
fof(f_74_1,plain,
! [Xa,Xp] :
( sameside(Xa,Xp,Xa)
| Xa = Xp ),
inference(fof_nnf,[status(thm)],[aSatz6_5]) ).
fof(f_74_2,plain,
! [U_351,U_350] :
( sameside(U_351,U_350,U_351)
| U_351 = U_350 ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
! [U_351,U_350] :
( sameside(U_351,U_350,U_351)
| U_351 = U_350 ),
inference(definitional_conversion,[status(esa)],[f_74_2]) ).
cnf(f_74_4,plain,
( sameside(U_351,U_350,U_351)
| U_351 = U_350 ),
inference(clausify,[status(thm)],[f_74_3]) ).
fof(f_75_1,plain,
! [Xa,Xp,Xb] :
( sameside(Xb,Xp,Xa)
| ~ sameside(Xa,Xp,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz6_6]) ).
fof(f_75_2,plain,
! [U_354,U_353,U_352] :
( sameside(U_352,U_353,U_354)
| ~ sameside(U_354,U_353,U_352) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
! [U_352,U_353,U_354] :
( sameside(U_352,U_353,U_354)
| ~ sameside(U_354,U_353,U_352) ),
inference(definitional_conversion,[status(esa)],[f_75_2]) ).
cnf(f_75_4,plain,
( sameside(U_352,U_353,U_354)
| ~ sameside(U_354,U_353,U_352) ),
inference(clausify,[status(thm)],[f_75_3]) ).
fof(f_76_1,plain,
! [Xa,Xp,Xb,Xc] :
( sameside(Xa,Xp,Xc)
| ~ sameside(Xb,Xp,Xc)
| ~ sameside(Xa,Xp,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz6_7]) ).
fof(f_76_2,plain,
! [U_358,U_357,U_356,U_355] :
( sameside(U_358,U_357,U_355)
| ~ sameside(U_356,U_357,U_355)
| ~ sameside(U_358,U_357,U_356) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
fof(f_76_3,plain,
! [U_358,U_357,U_356] :
( ! [U_355] :
( sameside(U_358,U_357,U_355)
| ~ sameside(U_356,U_357,U_355) )
| ~ sameside(U_358,U_357,U_356) ),
inference(miniscope,[status(thm)],[f_76_2]) ).
fof(f_76_4,plain,
! [U_355,U_356,U_357,U_358] :
( sameside(U_358,U_357,U_355)
| ~ sameside(U_356,U_357,U_355)
| ~ sameside(U_358,U_357,U_356) ),
inference(definitional_conversion,[status(esa)],[f_76_3]) ).
cnf(f_76_5,plain,
( sameside(U_358,U_357,U_355)
| ~ sameside(U_356,U_357,U_355)
| ~ sameside(U_358,U_357,U_356) ),
inference(clausify,[status(thm)],[f_76_4]) ).
fof(f_77_1,plain,
! [Xr,Xa,Xb,Xc] :
( ( s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc)
| Xb = Xc
| Xr = Xa )
& ( sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr)
| Xb = Xc
| Xr = Xa ) ),
inference(fof_nnf,[status(thm)],[aSatz6_11a]) ).
fof(f_77_2,plain,
! [U_362,U_361,U_360,U_359] :
( ( s_e(U_361,insert(U_360,U_359,U_361,U_362),U_360,U_359)
| U_360 = U_359
| U_362 = U_361 )
& ( sameside(insert(U_360,U_359,U_361,U_362),U_361,U_362)
| U_360 = U_359
| U_362 = U_361 ) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
( ! [U_370,U_368] :
( ! [U_366,U_364] :
( s_e(U_368,insert(U_366,U_364,U_368,U_370),U_366,U_364)
| U_366 = U_364 )
| U_370 = U_368 )
& ! [U_369,U_367] :
( ! [U_365,U_363] :
( sameside(insert(U_365,U_363,U_367,U_369),U_367,U_369)
| U_365 = U_363 )
| U_369 = U_367 ) ),
inference(miniscope,[status(thm)],[f_77_2]) ).
fof(f_77_4,plain,
( ! [U_370,U_368,U_364,U_366] :
( s_e(U_368,insert(U_366,U_364,U_368,U_370),U_366,U_364)
| U_366 = U_364
| U_370 = U_368 )
& ! [U_363,U_369,U_365,U_367] :
( sameside(insert(U_365,U_363,U_367,U_369),U_367,U_369)
| U_365 = U_363
| U_369 = U_367 ) ),
inference(definitional_conversion,[status(esa)],[f_77_3]) ).
cnf(f_77_5,plain,
( sameside(insert(U_365,U_363,U_367,U_369),U_367,U_369)
| U_365 = U_363
| U_369 = U_367 ),
inference(clausify,[status(thm)],[f_77_4]) ).
cnf(f_77_6,plain,
( s_e(U_368,insert(U_366,U_364,U_368,U_370),U_366,U_364)
| U_366 = U_364
| U_370 = U_368 ),
inference(clausify,[status(thm)],[f_77_4]) ).
fof(f_78_1,plain,
! [Xr,Xa,Xb,Xc,Xp,Xq] :
( Xp = Xq
| ~ s_e(Xa,Xq,Xb,Xc)
| ~ sameside(Xq,Xa,Xr)
| ~ s_e(Xa,Xp,Xb,Xc)
| ~ sameside(Xp,Xa,Xr)
| Xb = Xc
| Xr = Xa ),
inference(fof_nnf,[status(thm)],[aSatz6_11b]) ).
fof(f_78_2,plain,
! [U_376,U_375,U_374,U_373,U_372,U_371] :
( U_372 = U_371
| ~ s_e(U_375,U_371,U_374,U_373)
| ~ sameside(U_371,U_375,U_376)
| ~ s_e(U_375,U_372,U_374,U_373)
| ~ sameside(U_372,U_375,U_376)
| U_374 = U_373
| U_376 = U_375 ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
fof(f_78_3,plain,
! [U_376,U_375] :
( ! [U_374,U_373] :
( ! [U_372] :
( ! [U_371] :
( U_372 = U_371
| ~ s_e(U_375,U_371,U_374,U_373)
| ~ sameside(U_371,U_375,U_376) )
| ~ s_e(U_375,U_372,U_374,U_373)
| ~ sameside(U_372,U_375,U_376) )
| U_374 = U_373 )
| U_376 = U_375 ),
inference(miniscope,[status(thm)],[f_78_2]) ).
fof(f_78_4,plain,
! [U_372,U_373,U_376,U_374,U_375,U_371] :
( U_372 = U_371
| ~ s_e(U_375,U_371,U_374,U_373)
| ~ sameside(U_371,U_375,U_376)
| ~ s_e(U_375,U_372,U_374,U_373)
| ~ sameside(U_372,U_375,U_376)
| U_374 = U_373
| U_376 = U_375 ),
inference(definitional_conversion,[status(esa)],[f_78_3]) ).
cnf(f_78_5,plain,
( U_372 = U_371
| ~ s_e(U_375,U_371,U_374,U_373)
| ~ sameside(U_371,U_375,U_376)
| ~ s_e(U_375,U_372,U_374,U_373)
| ~ sameside(U_372,U_375,U_376)
| U_374 = U_373
| U_376 = U_375 ),
inference(clausify,[status(thm)],[f_78_4]) ).
fof(f_79_1,plain,
! [Xa,Xp,Xb] :
( s_t(Xp,Xa,Xb)
| ~ le(Xp,Xa,Xp,Xb)
| ~ sameside(Xa,Xp,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz6_13a]) ).
fof(f_79_2,plain,
! [U_379,U_378,U_377] :
( s_t(U_378,U_379,U_377)
| ~ le(U_378,U_379,U_378,U_377)
| ~ sameside(U_379,U_378,U_377) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
fof(f_79_3,plain,
! [U_377,U_379,U_378] :
( s_t(U_378,U_379,U_377)
| ~ le(U_378,U_379,U_378,U_377)
| ~ sameside(U_379,U_378,U_377) ),
inference(definitional_conversion,[status(esa)],[f_79_2]) ).
cnf(f_79_4,plain,
( s_t(U_378,U_379,U_377)
| ~ le(U_378,U_379,U_378,U_377)
| ~ sameside(U_379,U_378,U_377) ),
inference(clausify,[status(thm)],[f_79_3]) ).
fof(f_80_1,plain,
! [Xa,Xp,Xb] :
( ~ s_t(Xp,Xa,Xb)
| le(Xp,Xa,Xp,Xb)
| ~ sameside(Xa,Xp,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz6_13b]) ).
fof(f_80_2,plain,
! [U_382,U_381,U_380] :
( ~ s_t(U_381,U_382,U_380)
| le(U_381,U_382,U_381,U_380)
| ~ sameside(U_382,U_381,U_380) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
fof(f_80_3,plain,
! [U_382,U_380,U_381] :
( ~ s_t(U_381,U_382,U_380)
| le(U_381,U_382,U_381,U_380)
| ~ sameside(U_382,U_381,U_380) ),
inference(definitional_conversion,[status(esa)],[f_80_2]) ).
cnf(f_80_4,plain,
( ~ s_t(U_381,U_382,U_380)
| le(U_381,U_382,U_381,U_380)
| ~ sameside(U_382,U_381,U_380) ),
inference(clausify,[status(thm)],[f_80_3]) ).
fof(f_81_1,plain,
! [Xp,Xq,Xr,Xa] :
( sameside(Xa,Xp,Xr)
| sameside(Xa,Xp,Xq)
| Xa = Xp
| ~ s_col(Xa,Xp,Xq)
| ~ s_t(Xq,Xp,Xr)
| Xp = Xr
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aSatz6_15a]) ).
fof(f_81_2,plain,
! [U_386,U_385,U_384,U_383] :
( sameside(U_383,U_386,U_384)
| sameside(U_383,U_386,U_385)
| U_383 = U_386
| ~ s_col(U_383,U_386,U_385)
| ~ s_t(U_385,U_386,U_384)
| U_386 = U_384
| U_386 = U_385 ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
fof(f_81_3,plain,
! [U_386,U_385] :
( ! [U_384] :
( ! [U_383] :
( sameside(U_383,U_386,U_384)
| sameside(U_383,U_386,U_385)
| U_383 = U_386
| ~ s_col(U_383,U_386,U_385) )
| ~ s_t(U_385,U_386,U_384)
| U_386 = U_384 )
| U_386 = U_385 ),
inference(miniscope,[status(thm)],[f_81_2]) ).
fof(f_81_4,plain,
! [U_385,U_384,U_383,U_386] :
( sameside(U_383,U_386,U_384)
| sameside(U_383,U_386,U_385)
| U_383 = U_386
| ~ s_col(U_383,U_386,U_385)
| ~ s_t(U_385,U_386,U_384)
| U_386 = U_384
| U_386 = U_385 ),
inference(definitional_conversion,[status(esa)],[f_81_3]) ).
cnf(f_81_5,plain,
( sameside(U_383,U_386,U_384)
| sameside(U_383,U_386,U_385)
| U_383 = U_386
| ~ s_col(U_383,U_386,U_385)
| ~ s_t(U_385,U_386,U_384)
| U_386 = U_384
| U_386 = U_385 ),
inference(clausify,[status(thm)],[f_81_4]) ).
fof(f_82_1,plain,
! [Xp,Xq,Xr,Xa] :
( s_col(Xa,Xp,Xq)
| ~ sameside(Xa,Xp,Xq)
| ~ s_t(Xq,Xp,Xr)
| Xp = Xr
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aSatz6_15b]) ).
fof(f_82_2,plain,
! [U_390,U_389,U_388,U_387] :
( s_col(U_387,U_390,U_389)
| ~ sameside(U_387,U_390,U_389)
| ~ s_t(U_389,U_390,U_388)
| U_390 = U_388
| U_390 = U_389 ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
fof(f_82_3,plain,
! [U_390,U_389] :
( ! [U_388] :
( ~ s_t(U_389,U_390,U_388)
| U_390 = U_388 )
| ! [U_387] :
( s_col(U_387,U_390,U_389)
| ~ sameside(U_387,U_390,U_389) )
| U_390 = U_389 ),
inference(miniscope,[status(thm)],[f_82_2]) ).
fof(f_82_4,plain,
! [U_387,U_389,U_388,U_390] :
( ~ s_t(U_389,U_390,U_388)
| U_390 = U_388
| s_col(U_387,U_390,U_389)
| ~ sameside(U_387,U_390,U_389)
| U_390 = U_389 ),
inference(definitional_conversion,[status(esa)],[f_82_3]) ).
cnf(f_82_5,plain,
( ~ s_t(U_389,U_390,U_388)
| U_390 = U_388
| s_col(U_387,U_390,U_389)
| ~ sameside(U_387,U_390,U_389)
| U_390 = U_389 ),
inference(clausify,[status(thm)],[f_82_4]) ).
fof(f_83_1,plain,
! [Xp,Xq,Xr,Xa] :
( s_col(Xa,Xp,Xq)
| ~ sameside(Xa,Xp,Xr)
| ~ s_t(Xq,Xp,Xr)
| Xp = Xr
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aSatz6_15c]) ).
fof(f_83_2,plain,
! [U_394,U_393,U_392,U_391] :
( s_col(U_391,U_394,U_393)
| ~ sameside(U_391,U_394,U_392)
| ~ s_t(U_393,U_394,U_392)
| U_394 = U_392
| U_394 = U_393 ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
fof(f_83_3,plain,
! [U_394,U_393] :
( ! [U_392] :
( ! [U_391] :
( s_col(U_391,U_394,U_393)
| ~ sameside(U_391,U_394,U_392) )
| ~ s_t(U_393,U_394,U_392)
| U_394 = U_392 )
| U_394 = U_393 ),
inference(miniscope,[status(thm)],[f_83_2]) ).
fof(f_83_4,plain,
! [U_394,U_393,U_392,U_391] :
( s_col(U_391,U_394,U_393)
| ~ sameside(U_391,U_394,U_392)
| ~ s_t(U_393,U_394,U_392)
| U_394 = U_392
| U_394 = U_393 ),
inference(definitional_conversion,[status(esa)],[f_83_3]) ).
cnf(f_83_5,plain,
( s_col(U_391,U_394,U_393)
| ~ sameside(U_391,U_394,U_392)
| ~ s_t(U_393,U_394,U_392)
| U_394 = U_392
| U_394 = U_393 ),
inference(clausify,[status(thm)],[f_83_4]) ).
fof(f_84_1,plain,
! [Xp,Xq,Xr,Xa] :
( s_col(Xa,Xp,Xq)
| Xa != Xp
| ~ s_t(Xq,Xp,Xr)
| Xp = Xr
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aSatz6_15d]) ).
fof(f_84_2,plain,
! [U_398,U_397,U_396,U_395] :
( s_col(U_395,U_398,U_397)
| U_395 != U_398
| ~ s_t(U_397,U_398,U_396)
| U_398 = U_396
| U_398 = U_397 ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
fof(f_84_3,plain,
! [U_398,U_397] :
( ! [U_396] :
( ~ s_t(U_397,U_398,U_396)
| U_398 = U_396 )
| ! [U_395] :
( s_col(U_395,U_398,U_397)
| U_395 != U_398 )
| U_398 = U_397 ),
inference(miniscope,[status(thm)],[f_84_2]) ).
fof(f_84_4,plain,
! [U_398,U_396,U_397,U_395] :
( ~ s_t(U_397,U_398,U_396)
| U_398 = U_396
| s_col(U_395,U_398,U_397)
| U_395 != U_398
| U_398 = U_397 ),
inference(definitional_conversion,[status(esa)],[f_84_3]) ).
cnf(f_84_5,plain,
( ~ s_t(U_397,U_398,U_396)
| U_398 = U_396
| s_col(U_395,U_398,U_397)
| U_395 != U_398
| U_398 = U_397 ),
inference(clausify,[status(thm)],[f_84_4]) ).
fof(f_85_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_t(Xc,Xd,Xb)
| s_t(Xd,Xc,Xb)
| ~ s_t(Xd,Xa,Xb)
| ~ s_t(Xc,Xa,Xb)
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz6_16a]) ).
fof(f_85_2,plain,
! [U_402,U_401,U_400,U_399] :
( s_t(U_400,U_399,U_401)
| s_t(U_399,U_400,U_401)
| ~ s_t(U_399,U_402,U_401)
| ~ s_t(U_400,U_402,U_401)
| U_402 = U_401 ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
fof(f_85_3,plain,
! [U_402,U_401] :
( ! [U_400] :
( ! [U_399] :
( s_t(U_400,U_399,U_401)
| s_t(U_399,U_400,U_401)
| ~ s_t(U_399,U_402,U_401) )
| ~ s_t(U_400,U_402,U_401) )
| U_402 = U_401 ),
inference(miniscope,[status(thm)],[f_85_2]) ).
fof(f_85_4,plain,
! [U_402,U_399,U_400,U_401] :
( s_t(U_400,U_399,U_401)
| s_t(U_399,U_400,U_401)
| ~ s_t(U_399,U_402,U_401)
| ~ s_t(U_400,U_402,U_401)
| U_402 = U_401 ),
inference(definitional_conversion,[status(esa)],[f_85_3]) ).
cnf(f_85_5,plain,
( s_t(U_400,U_399,U_401)
| s_t(U_399,U_400,U_401)
| ~ s_t(U_399,U_402,U_401)
| ~ s_t(U_400,U_402,U_401)
| U_402 = U_401 ),
inference(clausify,[status(thm)],[f_85_4]) ).
fof(f_86_1,plain,
! [Xp,Xq,Xcs,Xr] :
( s_col(Xp,Xcs,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xcs = Xp
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aSatz6_16b]) ).
fof(f_86_2,plain,
! [U_406,U_405,U_404,U_403] :
( s_col(U_406,U_404,U_403)
| ~ s_col(U_406,U_405,U_403)
| ~ s_col(U_406,U_405,U_404)
| U_404 = U_406
| U_406 = U_405 ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
fof(f_86_3,plain,
! [U_406,U_405] :
( ! [U_404] :
( ! [U_403] :
( s_col(U_406,U_404,U_403)
| ~ s_col(U_406,U_405,U_403) )
| ~ s_col(U_406,U_405,U_404)
| U_404 = U_406 )
| U_406 = U_405 ),
inference(miniscope,[status(thm)],[f_86_2]) ).
fof(f_86_4,plain,
! [U_403,U_406,U_405,U_404] :
( s_col(U_406,U_404,U_403)
| ~ s_col(U_406,U_405,U_403)
| ~ s_col(U_406,U_405,U_404)
| U_404 = U_406
| U_406 = U_405 ),
inference(definitional_conversion,[status(esa)],[f_86_3]) ).
cnf(f_86_5,plain,
( s_col(U_406,U_404,U_403)
| ~ s_col(U_406,U_405,U_403)
| ~ s_col(U_406,U_405,U_404)
| U_404 = U_406
| U_406 = U_405 ),
inference(clausify,[status(thm)],[f_86_4]) ).
fof(f_87_1,plain,
! [Xp,Xq] :
( s_col(Xp,Xq,Xp)
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aSatz6_17a]) ).
fof(f_87_2,plain,
! [U_408,U_407] :
( s_col(U_408,U_407,U_408)
| U_408 = U_407 ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
! [U_407,U_408] :
( s_col(U_408,U_407,U_408)
| U_408 = U_407 ),
inference(definitional_conversion,[status(esa)],[f_87_2]) ).
cnf(f_87_4,plain,
( s_col(U_408,U_407,U_408)
| U_408 = U_407 ),
inference(clausify,[status(thm)],[f_87_3]) ).
fof(f_88_1,plain,
! [Xp,Xq,Xr] :
( s_col(Xq,Xp,Xr)
| ~ s_col(Xp,Xq,Xr)
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aSatz6_17b]) ).
fof(f_88_2,plain,
! [U_411,U_410,U_409] :
( s_col(U_410,U_411,U_409)
| ~ s_col(U_411,U_410,U_409)
| U_411 = U_410 ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
! [U_411,U_410] :
( ! [U_409] :
( s_col(U_410,U_411,U_409)
| ~ s_col(U_411,U_410,U_409) )
| U_411 = U_410 ),
inference(miniscope,[status(thm)],[f_88_2]) ).
fof(f_88_4,plain,
! [U_411,U_410,U_409] :
( s_col(U_410,U_411,U_409)
| ~ s_col(U_411,U_410,U_409)
| U_411 = U_410 ),
inference(definitional_conversion,[status(esa)],[f_88_3]) ).
cnf(f_88_5,plain,
( s_col(U_410,U_411,U_409)
| ~ s_col(U_411,U_410,U_409)
| U_411 = U_410 ),
inference(clausify,[status(thm)],[f_88_4]) ).
fof(f_89_1,plain,
! [Xa,Xb,Xp,Xq,Xr] :
( s_col(Xa,Xb,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xb)
| ~ s_col(Xp,Xq,Xa)
| Xp = Xq
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz6_18]) ).
fof(f_89_2,plain,
! [U_416,U_415,U_414,U_413,U_412] :
( s_col(U_416,U_415,U_412)
| ~ s_col(U_414,U_413,U_412)
| ~ s_col(U_414,U_413,U_415)
| ~ s_col(U_414,U_413,U_416)
| U_414 = U_413
| U_416 = U_415 ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
fof(f_89_3,plain,
! [U_416,U_415] :
( ! [U_414,U_413] :
( ! [U_412] :
( s_col(U_416,U_415,U_412)
| ~ s_col(U_414,U_413,U_412) )
| ~ s_col(U_414,U_413,U_415)
| ~ s_col(U_414,U_413,U_416)
| U_414 = U_413 )
| U_416 = U_415 ),
inference(miniscope,[status(thm)],[f_89_2]) ).
fof(f_89_4,plain,
! [U_413,U_412,U_414,U_415,U_416] :
( s_col(U_416,U_415,U_412)
| ~ s_col(U_414,U_413,U_412)
| ~ s_col(U_414,U_413,U_415)
| ~ s_col(U_414,U_413,U_416)
| U_414 = U_413
| U_416 = U_415 ),
inference(definitional_conversion,[status(esa)],[f_89_3]) ).
cnf(f_89_5,plain,
( s_col(U_416,U_415,U_412)
| ~ s_col(U_414,U_413,U_412)
| ~ s_col(U_414,U_413,U_415)
| ~ s_col(U_414,U_413,U_416)
| U_414 = U_413
| U_416 = U_415 ),
inference(clausify,[status(thm)],[f_89_4]) ).
fof(f_90_1,plain,
! [Xa,Xb,Xp,Xq,Xc,Xd,Xe] :
( s_col(Xp,Xq,Xe)
| ~ s_col(Xa,Xb,Xe)
| Xc = Xd
| ~ s_col(Xp,Xq,Xd)
| ~ s_col(Xa,Xb,Xd)
| ~ s_col(Xp,Xq,Xc)
| ~ s_col(Xa,Xb,Xc)
| Xp = Xq
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz6_21]) ).
fof(f_90_2,plain,
! [U_423,U_422,U_421,U_420,U_419,U_418,U_417] :
( s_col(U_421,U_420,U_417)
| ~ s_col(U_423,U_422,U_417)
| U_419 = U_418
| ~ s_col(U_421,U_420,U_418)
| ~ s_col(U_423,U_422,U_418)
| ~ s_col(U_421,U_420,U_419)
| ~ s_col(U_423,U_422,U_419)
| U_421 = U_420
| U_423 = U_422 ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
! [U_423,U_422] :
( ! [U_421,U_420] :
( ! [U_419] :
( ! [U_418] :
( U_419 = U_418
| ~ s_col(U_421,U_420,U_418)
| ~ s_col(U_423,U_422,U_418) )
| ~ s_col(U_421,U_420,U_419)
| ~ s_col(U_423,U_422,U_419) )
| ! [U_417] :
( s_col(U_421,U_420,U_417)
| ~ s_col(U_423,U_422,U_417) )
| U_421 = U_420 )
| U_423 = U_422 ),
inference(miniscope,[status(thm)],[f_90_2]) ).
fof(f_90_4,plain,
! [U_422,U_423,U_417,U_419,U_420,U_418,U_421] :
( U_419 = U_418
| ~ s_col(U_421,U_420,U_418)
| ~ s_col(U_423,U_422,U_418)
| ~ s_col(U_421,U_420,U_419)
| ~ s_col(U_423,U_422,U_419)
| s_col(U_421,U_420,U_417)
| ~ s_col(U_423,U_422,U_417)
| U_421 = U_420
| U_423 = U_422 ),
inference(definitional_conversion,[status(esa)],[f_90_3]) ).
cnf(f_90_5,plain,
( U_419 = U_418
| ~ s_col(U_421,U_420,U_418)
| ~ s_col(U_423,U_422,U_418)
| ~ s_col(U_421,U_420,U_419)
| ~ s_col(U_423,U_422,U_419)
| s_col(U_421,U_420,U_417)
| ~ s_col(U_423,U_422,U_417)
| U_421 = U_420
| U_423 = U_422 ),
inference(clausify,[status(thm)],[f_90_4]) ).
fof(f_91_1,plain,
! [Xa,Xb] :
( ~ s_col(Xa,Xb,pointOffLine(Xa,Xb))
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz6_25]) ).
fof(f_91_2,plain,
! [U_425,U_424] :
( ~ s_col(U_425,U_424,pointOffLine(U_425,U_424))
| U_425 = U_424 ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
! [U_425,U_424] :
( ~ s_col(U_425,U_424,pointOffLine(U_425,U_424))
| U_425 = U_424 ),
inference(definitional_conversion,[status(esa)],[f_91_2]) ).
cnf(f_91_4,plain,
( ~ s_col(U_425,U_424,pointOffLine(U_425,U_424))
| U_425 = U_424 ),
inference(clausify,[status(thm)],[f_91_3]) ).
fof(f_92_1,plain,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_e(Xa,Xc,Xa1,Xc1)
| ~ s_e(Xb,Xc,Xb1,Xc1)
| ~ s_e(Xb,Xa,Xb1,Xa1)
| ~ sameside(Xa1,Xb1,Xc1)
| ~ sameside(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz6_28]) ).
fof(f_92_2,plain,
! [U_431,U_430,U_429,U_428,U_427,U_426] :
( s_e(U_431,U_429,U_428,U_426)
| ~ s_e(U_430,U_429,U_427,U_426)
| ~ s_e(U_430,U_431,U_427,U_428)
| ~ sameside(U_428,U_427,U_426)
| ~ sameside(U_431,U_430,U_429) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
! [U_431,U_430,U_429] :
( ! [U_428,U_427] :
( ! [U_426] :
( s_e(U_431,U_429,U_428,U_426)
| ~ s_e(U_430,U_429,U_427,U_426)
| ~ sameside(U_428,U_427,U_426) )
| ~ s_e(U_430,U_431,U_427,U_428) )
| ~ sameside(U_431,U_430,U_429) ),
inference(miniscope,[status(thm)],[f_92_2]) ).
fof(f_92_4,plain,
! [U_429,U_426,U_428,U_427,U_431,U_430] :
( s_e(U_431,U_429,U_428,U_426)
| ~ s_e(U_430,U_429,U_427,U_426)
| ~ sameside(U_428,U_427,U_426)
| ~ s_e(U_430,U_431,U_427,U_428)
| ~ sameside(U_431,U_430,U_429) ),
inference(definitional_conversion,[status(esa)],[f_92_3]) ).
cnf(f_92_5,plain,
( s_e(U_431,U_429,U_428,U_426)
| ~ s_e(U_430,U_429,U_427,U_426)
| ~ sameside(U_428,U_427,U_426)
| ~ s_e(U_430,U_431,U_427,U_428)
| ~ sameside(U_431,U_430,U_429) ),
inference(clausify,[status(thm)],[f_92_4]) ).
fof(f_93_1,plain,
! [Xa,Xm,Xb] :
( s_m(Xb,Xm,Xa)
| ~ s_m(Xa,Xm,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz7_2]) ).
fof(f_93_2,plain,
! [U_434,U_433,U_432] :
( s_m(U_432,U_433,U_434)
| ~ s_m(U_434,U_433,U_432) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
! [U_434,U_432,U_433] :
( s_m(U_432,U_433,U_434)
| ~ s_m(U_434,U_433,U_432) ),
inference(definitional_conversion,[status(esa)],[f_93_2]) ).
cnf(f_93_4,plain,
( s_m(U_432,U_433,U_434)
| ~ s_m(U_434,U_433,U_432) ),
inference(clausify,[status(thm)],[f_93_3]) ).
fof(f_94_1,plain,
! [Xa,Xm] :
( Xm = Xa
| ~ s_m(Xa,Xm,Xa) ),
inference(fof_nnf,[status(thm)],[aSatz7_3a]) ).
fof(f_94_2,plain,
! [U_436,U_435] :
( U_435 = U_436
| ~ s_m(U_436,U_435,U_436) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
! [U_435,U_436] :
( U_435 = U_436
| ~ s_m(U_436,U_435,U_436) ),
inference(definitional_conversion,[status(esa)],[f_94_2]) ).
cnf(f_94_4,plain,
( U_435 = U_436
| ~ s_m(U_436,U_435,U_436) ),
inference(clausify,[status(thm)],[f_94_3]) ).
fof(f_95_1,plain,
! [Xa,Xm] :
( Xm != Xa
| s_m(Xa,Xm,Xa) ),
inference(fof_nnf,[status(thm)],[aSatz7_3b]) ).
fof(f_95_2,plain,
! [U_438,U_437] :
( U_437 != U_438
| s_m(U_438,U_437,U_438) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
! [U_437,U_438] :
( U_437 != U_438
| s_m(U_438,U_437,U_438) ),
inference(definitional_conversion,[status(esa)],[f_95_2]) ).
cnf(f_95_4,plain,
( U_437 != U_438
| s_m(U_438,U_437,U_438) ),
inference(clausify,[status(thm)],[f_95_3]) ).
fof(f_96_1,plain,
! [Xp,Xa] : s_m(Xp,Xa,s(Xa,Xp)),
inference(fof_nnf,[status(thm)],[aSatz7_4a]) ).
fof(f_96_2,plain,
! [U_440,U_439] : s_m(U_440,U_439,s(U_439,U_440)),
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
! [U_440,U_439] : s_m(U_440,U_439,s(U_439,U_440)),
inference(definitional_conversion,[status(esa)],[f_96_2]) ).
cnf(f_96_4,plain,
s_m(U_440,U_439,s(U_439,U_440)),
inference(clausify,[status(thm)],[f_96_3]) ).
fof(f_97_1,plain,
! [Xp,Xa,Xr,Xq] :
( Xr = Xq
| ~ s_m(Xp,Xa,Xq)
| ~ s_m(Xp,Xa,Xr) ),
inference(fof_nnf,[status(thm)],[aSatz7_4b]) ).
fof(f_97_2,plain,
! [U_444,U_443,U_442,U_441] :
( U_442 = U_441
| ~ s_m(U_444,U_443,U_441)
| ~ s_m(U_444,U_443,U_442) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
! [U_444,U_443,U_442] :
( ! [U_441] :
( U_442 = U_441
| ~ s_m(U_444,U_443,U_441) )
| ~ s_m(U_444,U_443,U_442) ),
inference(miniscope,[status(thm)],[f_97_2]) ).
fof(f_97_4,plain,
! [U_442,U_441,U_443,U_444] :
( U_442 = U_441
| ~ s_m(U_444,U_443,U_441)
| ~ s_m(U_444,U_443,U_442) ),
inference(definitional_conversion,[status(esa)],[f_97_3]) ).
cnf(f_97_5,plain,
( U_442 = U_441
| ~ s_m(U_444,U_443,U_441)
| ~ s_m(U_444,U_443,U_442) ),
inference(clausify,[status(thm)],[f_97_4]) ).
fof(f_98_1,plain,
! [Xp,Xa,Xq] :
( Xq = s(Xa,Xp)
| ~ s_m(Xp,Xa,Xq) ),
inference(fof_nnf,[status(thm)],[aSatz7_6]) ).
fof(f_98_2,plain,
! [U_447,U_446,U_445] :
( U_445 = s(U_446,U_447)
| ~ s_m(U_447,U_446,U_445) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
fof(f_98_3,plain,
! [U_447,U_446,U_445] :
( U_445 = s(U_446,U_447)
| ~ s_m(U_447,U_446,U_445) ),
inference(definitional_conversion,[status(esa)],[f_98_2]) ).
cnf(f_98_4,plain,
( U_445 = s(U_446,U_447)
| ~ s_m(U_447,U_446,U_445) ),
inference(clausify,[status(thm)],[f_98_3]) ).
fof(f_99_1,plain,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
inference(fof_nnf,[status(thm)],[aSatz7_7]) ).
fof(f_99_2,plain,
! [U_449,U_448] : s(U_449,s(U_449,U_448)) = U_448,
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
! [U_448,U_449] : s(U_449,s(U_449,U_448)) = U_448,
inference(definitional_conversion,[status(esa)],[f_99_2]) ).
cnf(f_99_4,plain,
s(U_449,s(U_449,U_448)) = U_448,
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_1,plain,
! [Xa,Xp,Xr,Xq] :
( Xp = Xq
| s(Xa,Xq) != Xr
| s(Xa,Xp) != Xr ),
inference(fof_nnf,[status(thm)],[aSatz7_8]) ).
fof(f_100_2,plain,
! [U_453,U_452,U_451,U_450] :
( U_452 = U_450
| s(U_453,U_450) != U_451
| s(U_453,U_452) != U_451 ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
! [U_453,U_452,U_451] :
( ! [U_450] :
( U_452 = U_450
| s(U_453,U_450) != U_451 )
| s(U_453,U_452) != U_451 ),
inference(miniscope,[status(thm)],[f_100_2]) ).
fof(f_100_4,plain,
! [U_450,U_451,U_452,U_453] :
( U_452 = U_450
| s(U_453,U_450) != U_451
| s(U_453,U_452) != U_451 ),
inference(definitional_conversion,[status(esa)],[f_100_3]) ).
cnf(f_100_5,plain,
( U_452 = U_450
| s(U_453,U_450) != U_451
| s(U_453,U_452) != U_451 ),
inference(clausify,[status(thm)],[f_100_4]) ).
fof(f_101_1,plain,
! [Xa,Xp,Xq] :
( Xp = Xq
| s(Xa,Xp) != s(Xa,Xq) ),
inference(fof_nnf,[status(thm)],[aSatz7_9]) ).
fof(f_101_2,plain,
! [U_456,U_455,U_454] :
( U_455 = U_454
| s(U_456,U_455) != s(U_456,U_454) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
! [U_455,U_454,U_456] :
( U_455 = U_454
| s(U_456,U_455) != s(U_456,U_454) ),
inference(definitional_conversion,[status(esa)],[f_101_2]) ).
cnf(f_101_4,plain,
( U_455 = U_454
| s(U_456,U_455) != s(U_456,U_454) ),
inference(clausify,[status(thm)],[f_101_3]) ).
fof(f_102_1,plain,
! [Xa,Xp] :
( Xp = Xa
| s(Xa,Xp) != Xp ),
inference(fof_nnf,[status(thm)],[aSatz7_10a]) ).
fof(f_102_2,plain,
! [U_458,U_457] :
( U_457 = U_458
| s(U_458,U_457) != U_457 ),
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
! [U_457,U_458] :
( U_457 = U_458
| s(U_458,U_457) != U_457 ),
inference(definitional_conversion,[status(esa)],[f_102_2]) ).
cnf(f_102_4,plain,
( U_457 = U_458
| s(U_458,U_457) != U_457 ),
inference(clausify,[status(thm)],[f_102_3]) ).
fof(f_103_1,plain,
! [Xa,Xp] :
( Xp != Xa
| s(Xa,Xp) = Xp ),
inference(fof_nnf,[status(thm)],[aSatz7_10b]) ).
fof(f_103_2,plain,
! [U_460,U_459] :
( U_459 != U_460
| s(U_460,U_459) = U_459 ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
fof(f_103_3,plain,
! [U_459,U_460] :
( U_459 != U_460
| s(U_460,U_459) = U_459 ),
inference(definitional_conversion,[status(esa)],[f_103_2]) ).
cnf(f_103_4,plain,
( U_459 != U_460
| s(U_460,U_459) = U_459 ),
inference(clausify,[status(thm)],[f_103_3]) ).
fof(f_104_1,plain,
! [Xp,Xq,Xa] : s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq)),
inference(fof_nnf,[status(thm)],[aSatz7_13]) ).
fof(f_104_2,plain,
! [U_463,U_462,U_461] : s_e(U_463,U_462,s(U_461,U_463),s(U_461,U_462)),
inference(variable_rename,[status(thm)],[f_104_1]) ).
fof(f_104_3,plain,
! [U_461,U_462,U_463] : s_e(U_463,U_462,s(U_461,U_463),s(U_461,U_462)),
inference(definitional_conversion,[status(esa)],[f_104_2]) ).
cnf(f_104_4,plain,
s_e(U_463,U_462,s(U_461,U_463),s(U_461,U_462)),
inference(clausify,[status(thm)],[f_104_3]) ).
fof(f_105_1,plain,
! [Xp,Xq,Xr,Xa] :
( s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))
| ~ s_t(Xp,Xq,Xr) ),
inference(fof_nnf,[status(thm)],[aSatz7_15a]) ).
fof(f_105_2,plain,
! [U_467,U_466,U_465,U_464] :
( s_t(s(U_464,U_467),s(U_464,U_466),s(U_464,U_465))
| ~ s_t(U_467,U_466,U_465) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
! [U_467,U_466,U_465] :
( ! [U_464] : s_t(s(U_464,U_467),s(U_464,U_466),s(U_464,U_465))
| ~ s_t(U_467,U_466,U_465) ),
inference(miniscope,[status(thm)],[f_105_2]) ).
fof(f_105_4,plain,
! [U_464,U_465,U_466,U_467] :
( s_t(s(U_464,U_467),s(U_464,U_466),s(U_464,U_465))
| ~ s_t(U_467,U_466,U_465) ),
inference(definitional_conversion,[status(esa)],[f_105_3]) ).
cnf(f_105_5,plain,
( s_t(s(U_464,U_467),s(U_464,U_466),s(U_464,U_465))
| ~ s_t(U_467,U_466,U_465) ),
inference(clausify,[status(thm)],[f_105_4]) ).
fof(f_106_1,plain,
! [Xp,Xq,Xr,Xa] :
( ~ s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))
| s_t(Xp,Xq,Xr) ),
inference(fof_nnf,[status(thm)],[aSatz7_15b]) ).
fof(f_106_2,plain,
! [U_471,U_470,U_469,U_468] :
( ~ s_t(s(U_468,U_471),s(U_468,U_470),s(U_468,U_469))
| s_t(U_471,U_470,U_469) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
! [U_471,U_470,U_469] :
( ! [U_468] : ~ s_t(s(U_468,U_471),s(U_468,U_470),s(U_468,U_469))
| s_t(U_471,U_470,U_469) ),
inference(miniscope,[status(thm)],[f_106_2]) ).
fof(f_106_4,plain,
! [U_468,U_469,U_470,U_471] :
( ~ s_t(s(U_468,U_471),s(U_468,U_470),s(U_468,U_469))
| s_t(U_471,U_470,U_469) ),
inference(definitional_conversion,[status(esa)],[f_106_3]) ).
cnf(f_106_5,plain,
( ~ s_t(s(U_468,U_471),s(U_468,U_470),s(U_468,U_469))
| s_t(U_471,U_470,U_469) ),
inference(clausify,[status(thm)],[f_106_4]) ).
fof(f_107_1,plain,
! [Xp,Xq,Xr,Xcs,Xa] :
( s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs))
| ~ s_e(Xp,Xq,Xr,Xcs) ),
inference(fof_nnf,[status(thm)],[aSatz7_16a]) ).
fof(f_107_2,plain,
! [U_476,U_475,U_474,U_473,U_472] :
( s_e(s(U_472,U_476),s(U_472,U_475),s(U_472,U_474),s(U_472,U_473))
| ~ s_e(U_476,U_475,U_474,U_473) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
fof(f_107_3,plain,
! [U_476,U_475,U_474,U_473] :
( ! [U_472] : s_e(s(U_472,U_476),s(U_472,U_475),s(U_472,U_474),s(U_472,U_473))
| ~ s_e(U_476,U_475,U_474,U_473) ),
inference(miniscope,[status(thm)],[f_107_2]) ).
fof(f_107_4,plain,
! [U_473,U_472,U_474,U_475,U_476] :
( s_e(s(U_472,U_476),s(U_472,U_475),s(U_472,U_474),s(U_472,U_473))
| ~ s_e(U_476,U_475,U_474,U_473) ),
inference(definitional_conversion,[status(esa)],[f_107_3]) ).
cnf(f_107_5,plain,
( s_e(s(U_472,U_476),s(U_472,U_475),s(U_472,U_474),s(U_472,U_473))
| ~ s_e(U_476,U_475,U_474,U_473) ),
inference(clausify,[status(thm)],[f_107_4]) ).
fof(f_108_1,plain,
! [Xp,Xq,Xr,Xcs,Xa] :
( ~ s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs))
| s_e(Xp,Xq,Xr,Xcs) ),
inference(fof_nnf,[status(thm)],[aSatz7_16b]) ).
fof(f_108_2,plain,
! [U_481,U_480,U_479,U_478,U_477] :
( ~ s_e(s(U_477,U_481),s(U_477,U_480),s(U_477,U_479),s(U_477,U_478))
| s_e(U_481,U_480,U_479,U_478) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
fof(f_108_3,plain,
! [U_481,U_480,U_479,U_478] :
( ! [U_477] : ~ s_e(s(U_477,U_481),s(U_477,U_480),s(U_477,U_479),s(U_477,U_478))
| s_e(U_481,U_480,U_479,U_478) ),
inference(miniscope,[status(thm)],[f_108_2]) ).
fof(f_108_4,plain,
! [U_479,U_480,U_481,U_478,U_477] :
( ~ s_e(s(U_477,U_481),s(U_477,U_480),s(U_477,U_479),s(U_477,U_478))
| s_e(U_481,U_480,U_479,U_478) ),
inference(definitional_conversion,[status(esa)],[f_108_3]) ).
cnf(f_108_5,plain,
( ~ s_e(s(U_477,U_481),s(U_477,U_480),s(U_477,U_479),s(U_477,U_478))
| s_e(U_481,U_480,U_479,U_478) ),
inference(clausify,[status(thm)],[f_108_4]) ).
fof(f_109_1,plain,
! [Xp,Xa,Xq,Xb] :
( Xa = Xb
| ~ s_m(Xp,Xb,Xq)
| ~ s_m(Xp,Xa,Xq) ),
inference(fof_nnf,[status(thm)],[aSatz7_17]) ).
fof(f_109_2,plain,
! [U_485,U_484,U_483,U_482] :
( U_484 = U_482
| ~ s_m(U_485,U_482,U_483)
| ~ s_m(U_485,U_484,U_483) ),
inference(variable_rename,[status(thm)],[f_109_1]) ).
fof(f_109_3,plain,
! [U_485,U_484,U_483] :
( ! [U_482] :
( U_484 = U_482
| ~ s_m(U_485,U_482,U_483) )
| ~ s_m(U_485,U_484,U_483) ),
inference(miniscope,[status(thm)],[f_109_2]) ).
fof(f_109_4,plain,
! [U_484,U_485,U_482,U_483] :
( U_484 = U_482
| ~ s_m(U_485,U_482,U_483)
| ~ s_m(U_485,U_484,U_483) ),
inference(definitional_conversion,[status(esa)],[f_109_3]) ).
cnf(f_109_5,plain,
( U_484 = U_482
| ~ s_m(U_485,U_482,U_483)
| ~ s_m(U_485,U_484,U_483) ),
inference(clausify,[status(thm)],[f_109_4]) ).
fof(f_110_1,plain,
! [Xa,Xp,Xb] :
( Xa = Xb
| s(Xa,Xp) != s(Xb,Xp) ),
inference(fof_nnf,[status(thm)],[aSatz7_18]) ).
fof(f_110_2,plain,
! [U_488,U_487,U_486] :
( U_488 = U_486
| s(U_488,U_487) != s(U_486,U_487) ),
inference(variable_rename,[status(thm)],[f_110_1]) ).
fof(f_110_3,plain,
! [U_487,U_486,U_488] :
( U_488 = U_486
| s(U_488,U_487) != s(U_486,U_487) ),
inference(definitional_conversion,[status(esa)],[f_110_2]) ).
cnf(f_110_4,plain,
( U_488 = U_486
| s(U_488,U_487) != s(U_486,U_487) ),
inference(clausify,[status(thm)],[f_110_3]) ).
fof(f_111_1,plain,
! [Xa,Xb,Xp] :
( Xa = Xb
| s(Xa,s(Xb,Xp)) != s(Xb,s(Xa,Xp)) ),
inference(fof_nnf,[status(thm)],[aSatz7_19]) ).
fof(f_111_2,plain,
! [U_491,U_490,U_489] :
( U_491 = U_490
| s(U_491,s(U_490,U_489)) != s(U_490,s(U_491,U_489)) ),
inference(variable_rename,[status(thm)],[f_111_1]) ).
fof(f_111_3,plain,
! [U_491,U_490] :
( ! [U_489] : s(U_491,s(U_490,U_489)) != s(U_490,s(U_491,U_489))
| U_491 = U_490 ),
inference(miniscope,[status(thm)],[f_111_2]) ).
fof(f_111_4,plain,
! [U_489,U_490,U_491] :
( s(U_491,s(U_490,U_489)) != s(U_490,s(U_491,U_489))
| U_491 = U_490 ),
inference(definitional_conversion,[status(esa)],[f_111_3]) ).
cnf(f_111_5,plain,
( s(U_491,s(U_490,U_489)) != s(U_490,s(U_491,U_489))
| U_491 = U_490 ),
inference(clausify,[status(thm)],[f_111_4]) ).
fof(f_112_1,plain,
! [Xa,Xm,Xb] :
( s_m(Xa,Xm,Xb)
| Xa = Xb
| ~ s_e(Xm,Xa,Xm,Xb)
| ~ s_col(Xa,Xm,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz7_20]) ).
fof(f_112_2,plain,
! [U_494,U_493,U_492] :
( s_m(U_494,U_493,U_492)
| U_494 = U_492
| ~ s_e(U_493,U_494,U_493,U_492)
| ~ s_col(U_494,U_493,U_492) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
! [U_492,U_493,U_494] :
( s_m(U_494,U_493,U_492)
| U_494 = U_492
| ~ s_e(U_493,U_494,U_493,U_492)
| ~ s_col(U_494,U_493,U_492) ),
inference(definitional_conversion,[status(esa)],[f_112_2]) ).
cnf(f_112_4,plain,
( s_m(U_494,U_493,U_492)
| U_494 = U_492
| ~ s_e(U_493,U_494,U_493,U_492)
| ~ s_col(U_494,U_493,U_492) ),
inference(clausify,[status(thm)],[f_112_3]) ).
fof(f_113_1,plain,
! [Xa,Xb,Xc,Xd,Xp] :
( s_m(Xa,Xp,Xc)
| ~ s_col(Xb,Xp,Xd)
| ~ s_col(Xa,Xp,Xc)
| ~ s_e(Xb,Xc,Xd,Xa)
| ~ s_e(Xa,Xb,Xc,Xd)
| Xb = Xd
| s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz7_21]) ).
fof(f_113_2,plain,
! [U_499,U_498,U_497,U_496,U_495] :
( s_m(U_499,U_495,U_497)
| ~ s_col(U_498,U_495,U_496)
| ~ s_col(U_499,U_495,U_497)
| ~ s_e(U_498,U_497,U_496,U_499)
| ~ s_e(U_499,U_498,U_497,U_496)
| U_498 = U_496
| s_col(U_499,U_498,U_497) ),
inference(variable_rename,[status(thm)],[f_113_1]) ).
fof(f_113_3,plain,
! [U_499,U_498,U_497] :
( ! [U_496] :
( ! [U_495] :
( s_m(U_499,U_495,U_497)
| ~ s_col(U_498,U_495,U_496)
| ~ s_col(U_499,U_495,U_497) )
| ~ s_e(U_498,U_497,U_496,U_499)
| ~ s_e(U_499,U_498,U_497,U_496)
| U_498 = U_496 )
| s_col(U_499,U_498,U_497) ),
inference(miniscope,[status(thm)],[f_113_2]) ).
fof(f_113_4,plain,
! [U_499,U_498,U_497,U_495,U_496] :
( s_m(U_499,U_495,U_497)
| ~ s_col(U_498,U_495,U_496)
| ~ s_col(U_499,U_495,U_497)
| ~ s_e(U_498,U_497,U_496,U_499)
| ~ s_e(U_499,U_498,U_497,U_496)
| U_498 = U_496
| s_col(U_499,U_498,U_497) ),
inference(definitional_conversion,[status(esa)],[f_113_3]) ).
cnf(f_113_5,plain,
( s_m(U_499,U_495,U_497)
| ~ s_col(U_498,U_495,U_496)
| ~ s_col(U_499,U_495,U_497)
| ~ s_e(U_498,U_497,U_496,U_499)
| ~ s_e(U_499,U_498,U_497,U_496)
| U_498 = U_496
| s_col(U_499,U_498,U_497) ),
inference(clausify,[status(thm)],[f_113_4]) ).
fof(f_114_1,plain,
! [Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2] :
( ~ le(Xc,Xa1,Xc,Xa2)
| s_t(Xm1,Xc,Xm2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) ),
inference(fof_nnf,[status(thm)],[aSatz7_22a]) ).
fof(f_114_2,plain,
! [U_506,U_505,U_504,U_503,U_502,U_501,U_500] :
( ~ le(U_503,U_506,U_503,U_500)
| s_t(U_505,U_503,U_501)
| ~ s_kf(U_506,U_505,U_504,U_503,U_502,U_501,U_500) ),
inference(variable_rename,[status(thm)],[f_114_1]) ).
fof(f_114_3,plain,
! [U_506,U_505,U_504,U_503,U_502,U_501] :
( ! [U_500] :
( ~ le(U_503,U_506,U_503,U_500)
| ~ s_kf(U_506,U_505,U_504,U_503,U_502,U_501,U_500) )
| s_t(U_505,U_503,U_501) ),
inference(miniscope,[status(thm)],[f_114_2]) ).
fof(f_114_4,plain,
! [U_501,U_504,U_506,U_502,U_500,U_505,U_503] :
( ~ le(U_503,U_506,U_503,U_500)
| ~ s_kf(U_506,U_505,U_504,U_503,U_502,U_501,U_500)
| s_t(U_505,U_503,U_501) ),
inference(definitional_conversion,[status(esa)],[f_114_3]) ).
cnf(f_114_5,plain,
( ~ le(U_503,U_506,U_503,U_500)
| ~ s_kf(U_506,U_505,U_504,U_503,U_502,U_501,U_500)
| s_t(U_505,U_503,U_501) ),
inference(clausify,[status(thm)],[f_114_4]) ).
fof(f_115_1,plain,
! [Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2] :
( s_t(Xm1,Xc,Xm2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) ),
inference(fof_nnf,[status(thm)],[aSatz7_22b]) ).
fof(f_115_2,plain,
! [U_513,U_512,U_511,U_510,U_509,U_508,U_507] :
( s_t(U_512,U_510,U_508)
| ~ s_kf(U_513,U_512,U_511,U_510,U_509,U_508,U_507) ),
inference(variable_rename,[status(thm)],[f_115_1]) ).
fof(f_115_3,plain,
! [U_513,U_512,U_511,U_510,U_509,U_508] :
( ! [U_507] : ~ s_kf(U_513,U_512,U_511,U_510,U_509,U_508,U_507)
| s_t(U_512,U_510,U_508) ),
inference(miniscope,[status(thm)],[f_115_2]) ).
fof(f_115_4,plain,
! [U_508,U_509,U_511,U_507,U_513,U_510,U_512] :
( ~ s_kf(U_513,U_512,U_511,U_510,U_509,U_508,U_507)
| s_t(U_512,U_510,U_508) ),
inference(definitional_conversion,[status(esa)],[f_115_3]) ).
cnf(f_115_5,plain,
( ~ s_kf(U_513,U_512,U_511,U_510,U_509,U_508,U_507)
| s_t(U_512,U_510,U_508) ),
inference(clausify,[status(thm)],[f_115_4]) ).
fof(f_116_1,negated_conjecture,
~ ! [Xa1,Xc,Xa2,Xb1,Xb2,Xm1,Xm2] :
( s_t(Xm1,Xc,Xm2)
| ~ s_m(Xa2,Xm2,Xb2)
| ~ s_m(Xa1,Xm1,Xb1)
| ~ s_e(Xc,Xa2,Xc,Xb2)
| ~ s_e(Xc,Xa1,Xc,Xb1)
| ~ s_t(Xb1,Xc,Xb2)
| ~ s_t(Xa1,Xc,Xa2) ),
inference(negate,[status(cth)],[aSatz7_22]) ).
fof(f_116_2,negated_conjecture,
? [Xa1,Xc,Xa2,Xb1,Xb2,Xm1,Xm2] :
( ~ s_t(Xm1,Xc,Xm2)
& s_m(Xa2,Xm2,Xb2)
& s_m(Xa1,Xm1,Xb1)
& s_e(Xc,Xa2,Xc,Xb2)
& s_e(Xc,Xa1,Xc,Xb1)
& s_t(Xb1,Xc,Xb2)
& s_t(Xa1,Xc,Xa2) ),
inference(fof_nnf,[status(thm)],[f_116_1]) ).
fof(f_116_3,negated_conjecture,
? [U_520,U_519,U_518,U_517,U_516,U_515,U_514] :
( ~ s_t(U_515,U_519,U_514)
& s_m(U_518,U_514,U_516)
& s_m(U_520,U_515,U_517)
& s_e(U_519,U_518,U_519,U_516)
& s_e(U_519,U_520,U_519,U_517)
& s_t(U_517,U_519,U_516)
& s_t(U_520,U_519,U_518) ),
inference(variable_rename,[status(thm)],[f_116_2]) ).
fof(f_116_4,negated_conjecture,
? [U_520,U_519,U_518] :
( ? [U_517] :
( ? [U_516] :
( ? [U_515] :
( ? [U_514] :
( ~ s_t(U_515,U_519,U_514)
& s_m(U_518,U_514,U_516) )
& s_m(U_520,U_515,U_517) )
& s_e(U_519,U_518,U_519,U_516)
& s_t(U_517,U_519,U_516) )
& s_e(U_519,U_520,U_519,U_517) )
& s_t(U_520,U_519,U_518) ),
inference(miniscope,[status(thm)],[f_116_3]) ).
fof(f_116_5,negated_conjecture,
? [U_519,U_518] :
( ? [U_517] :
( ? [U_516] :
( ? [U_515] :
( ? [U_514] :
( ~ s_t(U_515,U_519,U_514)
& s_m(U_518,U_514,U_516) )
& s_m(sK1,U_515,U_517) )
& s_e(U_519,U_518,U_519,U_516)
& s_t(U_517,U_519,U_516) )
& s_e(U_519,sK1,U_519,U_517) )
& s_t(sK1,U_519,U_518) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_520,sK1)],[f_116_4]) ).
fof(f_116_6,negated_conjecture,
? [U_518] :
( ? [U_517] :
( ? [U_516] :
( ? [U_515] :
( ? [U_514] :
( ~ s_t(U_515,sK2,U_514)
& s_m(U_518,U_514,U_516) )
& s_m(sK1,U_515,U_517) )
& s_e(sK2,U_518,sK2,U_516)
& s_t(U_517,sK2,U_516) )
& s_e(sK2,sK1,sK2,U_517) )
& s_t(sK1,sK2,U_518) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_519,sK2)],[f_116_5]) ).
fof(f_116_7,negated_conjecture,
( ? [U_517] :
( ? [U_516] :
( ? [U_515] :
( ? [U_514] :
( ~ s_t(U_515,sK2,U_514)
& s_m(sK3,U_514,U_516) )
& s_m(sK1,U_515,U_517) )
& s_e(sK2,sK3,sK2,U_516)
& s_t(U_517,sK2,U_516) )
& s_e(sK2,sK1,sK2,U_517) )
& s_t(sK1,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_518,sK3)],[f_116_6]) ).
fof(f_116_8,negated_conjecture,
( ? [U_516] :
( ? [U_515] :
( ? [U_514] :
( ~ s_t(U_515,sK2,U_514)
& s_m(sK3,U_514,U_516) )
& s_m(sK1,U_515,sK4) )
& s_e(sK2,sK3,sK2,U_516)
& s_t(sK4,sK2,U_516) )
& s_e(sK2,sK1,sK2,sK4)
& s_t(sK1,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_517,sK4)],[f_116_7]) ).
fof(f_116_9,negated_conjecture,
( ? [U_515] :
( ? [U_514] :
( ~ s_t(U_515,sK2,U_514)
& s_m(sK3,U_514,sK5) )
& s_m(sK1,U_515,sK4) )
& s_e(sK2,sK3,sK2,sK5)
& s_t(sK4,sK2,sK5)
& s_e(sK2,sK1,sK2,sK4)
& s_t(sK1,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_516,sK5)],[f_116_8]) ).
fof(f_116_10,negated_conjecture,
( ? [U_514] :
( ~ s_t(sK6,sK2,U_514)
& s_m(sK3,U_514,sK5) )
& s_m(sK1,sK6,sK4)
& s_e(sK2,sK3,sK2,sK5)
& s_t(sK4,sK2,sK5)
& s_e(sK2,sK1,sK2,sK4)
& s_t(sK1,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_515,sK6)],[f_116_9]) ).
fof(f_116_11,negated_conjecture,
( ~ s_t(sK6,sK2,sK7)
& s_m(sK3,sK7,sK5)
& s_m(sK1,sK6,sK4)
& s_e(sK2,sK3,sK2,sK5)
& s_t(sK4,sK2,sK5)
& s_e(sK2,sK1,sK2,sK4)
& s_t(sK1,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_514,sK7)],[f_116_10]) ).
fof(f_116_12,negated_conjecture,
( ~ s_t(sK6,sK2,sK7)
& s_m(sK3,sK7,sK5)
& s_m(sK1,sK6,sK4)
& s_e(sK2,sK3,sK2,sK5)
& s_t(sK4,sK2,sK5)
& s_e(sK2,sK1,sK2,sK4)
& s_t(sK1,sK2,sK3) ),
inference(definitional_conversion,[status(esa)],[f_116_11]) ).
cnf(f_116_13,negated_conjecture,
s_t(sK1,sK2,sK3),
inference(clausify,[status(thm)],[f_116_12]) ).
cnf(f_116_14,negated_conjecture,
s_e(sK2,sK1,sK2,sK4),
inference(clausify,[status(thm)],[f_116_12]) ).
cnf(f_116_15,negated_conjecture,
s_t(sK4,sK2,sK5),
inference(clausify,[status(thm)],[f_116_12]) ).
cnf(f_116_16,negated_conjecture,
s_e(sK2,sK3,sK2,sK5),
inference(clausify,[status(thm)],[f_116_12]) ).
cnf(f_116_17,negated_conjecture,
s_m(sK1,sK6,sK4),
inference(clausify,[status(thm)],[f_116_12]) ).
cnf(f_116_18,negated_conjecture,
s_m(sK3,sK7,sK5),
inference(clausify,[status(thm)],[f_116_12]) ).
cnf(f_116_19,negated_conjecture,
~ s_t(sK6,sK2,sK7),
inference(clausify,[status(thm)],[f_116_12]) ).
fof(f_117_1,plain,
! [Xa,Xb,Xa1,Xc1] : insert(Xa,Xb,Xa1,Xc1) = ext(ext(Xc1,Xa1,alpha,gamma),Xa1,Xa,Xb),
inference(fof_nnf,[status(thm)],[d_insert]) ).
fof(f_117_2,plain,
! [U_524,U_523,U_522,U_521] : insert(U_524,U_523,U_522,U_521) = ext(ext(U_521,U_522,alpha,gamma),U_522,U_524,U_523),
inference(variable_rename,[status(thm)],[f_117_1]) ).
fof(f_117_3,plain,
! [U_523,U_524,U_521,U_522] : insert(U_524,U_523,U_522,U_521) = ext(ext(U_521,U_522,alpha,gamma),U_522,U_524,U_523),
inference(definitional_conversion,[status(esa)],[f_117_2]) ).
cnf(f_117_4,plain,
insert(U_524,U_523,U_522,U_521) = ext(ext(U_521,U_522,alpha,gamma),U_522,U_524,U_523),
inference(clausify,[status(thm)],[f_117_3]) ).
fof(f_118_1,plain,
! [Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd] :
( ( s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)
| ~ s_e(Xb,Xd,Zb,Zd)
| ~ s_e(Xa,Xd,Za,Zd)
| ~ s_e(Xb,Xc,Zb,Zc)
| ~ s_e(Xa,Xb,Za,Zb)
| ~ s_t(Za,Zb,Zc)
| ~ s_t(Xa,Xb,Xc) )
& ( s_e(Xb,Xd,Zb,Zd)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xa,Xd,Za,Zd)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xb,Xc,Zb,Zc)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xa,Xb,Za,Zb)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_t(Za,Zb,Zc)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_t(Xa,Xb,Xc)
| ~ s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) ) ),
inference(fof_nnf,[status(thm)],[d_Defn2_10]) ).
fof(f_118_2,plain,
! [U_532,U_531,U_530,U_529,U_528,U_527,U_526,U_525] :
( ( s_afs(U_532,U_531,U_530,U_529,U_528,U_527,U_526,U_525)
| ~ s_e(U_531,U_529,U_527,U_525)
| ~ s_e(U_532,U_529,U_528,U_525)
| ~ s_e(U_531,U_530,U_527,U_526)
| ~ s_e(U_532,U_531,U_528,U_527)
| ~ s_t(U_528,U_527,U_526)
| ~ s_t(U_532,U_531,U_530) )
& ( s_e(U_531,U_529,U_527,U_525)
| ~ s_afs(U_532,U_531,U_530,U_529,U_528,U_527,U_526,U_525) )
& ( s_e(U_532,U_529,U_528,U_525)
| ~ s_afs(U_532,U_531,U_530,U_529,U_528,U_527,U_526,U_525) )
& ( s_e(U_531,U_530,U_527,U_526)
| ~ s_afs(U_532,U_531,U_530,U_529,U_528,U_527,U_526,U_525) )
& ( s_e(U_532,U_531,U_528,U_527)
| ~ s_afs(U_532,U_531,U_530,U_529,U_528,U_527,U_526,U_525) )
& ( s_t(U_528,U_527,U_526)
| ~ s_afs(U_532,U_531,U_530,U_529,U_528,U_527,U_526,U_525) )
& ( s_t(U_532,U_531,U_530)
| ~ s_afs(U_532,U_531,U_530,U_529,U_528,U_527,U_526,U_525) ) ),
inference(variable_rename,[status(thm)],[f_118_1]) ).
fof(f_118_3,plain,
( ! [U_588,U_581,U_574] :
( ! [U_567,U_560,U_553] :
( ! [U_546] :
( ! [U_539] :
( s_afs(U_588,U_581,U_574,U_567,U_560,U_553,U_546,U_539)
| ~ s_e(U_581,U_567,U_553,U_539)
| ~ s_e(U_588,U_567,U_560,U_539) )
| ~ s_e(U_581,U_574,U_553,U_546)
| ~ s_t(U_560,U_553,U_546) )
| ~ s_e(U_588,U_581,U_560,U_553) )
| ~ s_t(U_588,U_581,U_574) )
& ! [U_587,U_580,U_573,U_566,U_559,U_552,U_545,U_538] :
( s_e(U_580,U_566,U_552,U_538)
| ~ s_afs(U_587,U_580,U_573,U_566,U_559,U_552,U_545,U_538) )
& ! [U_586,U_579,U_572,U_565,U_558,U_551,U_544,U_537] :
( s_e(U_586,U_565,U_558,U_537)
| ~ s_afs(U_586,U_579,U_572,U_565,U_558,U_551,U_544,U_537) )
& ! [U_585,U_578,U_571,U_564,U_557,U_550,U_543] :
( ! [U_536] : ~ s_afs(U_585,U_578,U_571,U_564,U_557,U_550,U_543,U_536)
| s_e(U_578,U_571,U_550,U_543) )
& ! [U_584,U_577,U_570,U_563,U_556,U_549] :
( ! [U_542,U_535] : ~ s_afs(U_584,U_577,U_570,U_563,U_556,U_549,U_542,U_535)
| s_e(U_584,U_577,U_556,U_549) )
& ! [U_583,U_576,U_569,U_562,U_555,U_548,U_541] :
( ! [U_534] : ~ s_afs(U_583,U_576,U_569,U_562,U_555,U_548,U_541,U_534)
| s_t(U_555,U_548,U_541) )
& ! [U_582,U_575,U_568] :
( ! [U_561,U_554,U_547,U_540,U_533] : ~ s_afs(U_582,U_575,U_568,U_561,U_554,U_547,U_540,U_533)
| s_t(U_582,U_575,U_568) ) ),
inference(miniscope,[status(thm)],[f_118_2]) ).
fof(f_118_4,plain,
( ! [U_567,U_574,U_588,U_560,U_553,U_539,U_581,U_546] :
( s_afs(U_588,U_581,U_574,U_567,U_560,U_553,U_546,U_539)
| ~ s_e(U_581,U_567,U_553,U_539)
| ~ s_e(U_588,U_567,U_560,U_539)
| ~ s_e(U_581,U_574,U_553,U_546)
| ~ s_t(U_560,U_553,U_546)
| ~ s_e(U_588,U_581,U_560,U_553)
| ~ s_t(U_588,U_581,U_574) )
& ! [U_573,U_552,U_538,U_587,U_545,U_559,U_566,U_580] :
( s_e(U_580,U_566,U_552,U_538)
| ~ s_afs(U_587,U_580,U_573,U_566,U_559,U_552,U_545,U_538) )
& ! [U_558,U_579,U_565,U_537,U_544,U_572,U_551,U_586] :
( s_e(U_586,U_565,U_558,U_537)
| ~ s_afs(U_586,U_579,U_572,U_565,U_558,U_551,U_544,U_537) )
& ! [U_578,U_550,U_543,U_536,U_557,U_564,U_571,U_585] :
( ~ s_afs(U_585,U_578,U_571,U_564,U_557,U_550,U_543,U_536)
| s_e(U_578,U_571,U_550,U_543) )
& ! [U_563,U_549,U_542,U_584,U_535,U_577,U_556,U_570] :
( ~ s_afs(U_584,U_577,U_570,U_563,U_556,U_549,U_542,U_535)
| s_e(U_584,U_577,U_556,U_549) )
& ! [U_569,U_534,U_583,U_541,U_576,U_562,U_548,U_555] :
( ~ s_afs(U_583,U_576,U_569,U_562,U_555,U_548,U_541,U_534)
| s_t(U_555,U_548,U_541) )
& ! [U_575,U_547,U_568,U_533,U_540,U_582,U_561,U_554] :
( ~ s_afs(U_582,U_575,U_568,U_561,U_554,U_547,U_540,U_533)
| s_t(U_582,U_575,U_568) ) ),
inference(definitional_conversion,[status(esa)],[f_118_3]) ).
cnf(f_118_5,plain,
( ~ s_afs(U_582,U_575,U_568,U_561,U_554,U_547,U_540,U_533)
| s_t(U_582,U_575,U_568) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_6,plain,
( ~ s_afs(U_583,U_576,U_569,U_562,U_555,U_548,U_541,U_534)
| s_t(U_555,U_548,U_541) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_7,plain,
( ~ s_afs(U_584,U_577,U_570,U_563,U_556,U_549,U_542,U_535)
| s_e(U_584,U_577,U_556,U_549) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_8,plain,
( ~ s_afs(U_585,U_578,U_571,U_564,U_557,U_550,U_543,U_536)
| s_e(U_578,U_571,U_550,U_543) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_9,plain,
( s_e(U_586,U_565,U_558,U_537)
| ~ s_afs(U_586,U_579,U_572,U_565,U_558,U_551,U_544,U_537) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_10,plain,
( s_e(U_580,U_566,U_552,U_538)
| ~ s_afs(U_587,U_580,U_573,U_566,U_559,U_552,U_545,U_538) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_11,plain,
( s_afs(U_588,U_581,U_574,U_567,U_560,U_553,U_546,U_539)
| ~ s_e(U_581,U_567,U_553,U_539)
| ~ s_e(U_588,U_567,U_560,U_539)
| ~ s_e(U_581,U_574,U_553,U_546)
| ~ s_t(U_560,U_553,U_546)
| ~ s_e(U_588,U_581,U_560,U_553)
| ~ s_t(U_588,U_581,U_574) ),
inference(clausify,[status(thm)],[f_118_4]) ).
fof(f_119_1,plain,
! [Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd] :
( ( s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)
| ~ s_e(Xc,Xd,Zc,Zd)
| ~ s_e(Xa,Xd,Za,Zd)
| ~ s_e(Xb,Xc,Zb,Zc)
| ~ s_e(Xa,Xc,Za,Zc)
| ~ s_t(Za,Zb,Zc)
| ~ s_t(Xa,Xb,Xc) )
& ( s_e(Xc,Xd,Zc,Zd)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xa,Xd,Za,Zd)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xb,Xc,Zb,Zc)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_e(Xa,Xc,Za,Zc)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_t(Za,Zb,Zc)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) )
& ( s_t(Xa,Xb,Xc)
| ~ s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) ) ),
inference(fof_nnf,[status(thm)],[d_Defn4_1]) ).
fof(f_119_2,plain,
! [U_596,U_595,U_594,U_593,U_592,U_591,U_590,U_589] :
( ( s_ifs(U_596,U_595,U_594,U_593,U_592,U_591,U_590,U_589)
| ~ s_e(U_594,U_593,U_590,U_589)
| ~ s_e(U_596,U_593,U_592,U_589)
| ~ s_e(U_595,U_594,U_591,U_590)
| ~ s_e(U_596,U_594,U_592,U_590)
| ~ s_t(U_592,U_591,U_590)
| ~ s_t(U_596,U_595,U_594) )
& ( s_e(U_594,U_593,U_590,U_589)
| ~ s_ifs(U_596,U_595,U_594,U_593,U_592,U_591,U_590,U_589) )
& ( s_e(U_596,U_593,U_592,U_589)
| ~ s_ifs(U_596,U_595,U_594,U_593,U_592,U_591,U_590,U_589) )
& ( s_e(U_595,U_594,U_591,U_590)
| ~ s_ifs(U_596,U_595,U_594,U_593,U_592,U_591,U_590,U_589) )
& ( s_e(U_596,U_594,U_592,U_590)
| ~ s_ifs(U_596,U_595,U_594,U_593,U_592,U_591,U_590,U_589) )
& ( s_t(U_592,U_591,U_590)
| ~ s_ifs(U_596,U_595,U_594,U_593,U_592,U_591,U_590,U_589) )
& ( s_t(U_596,U_595,U_594)
| ~ s_ifs(U_596,U_595,U_594,U_593,U_592,U_591,U_590,U_589) ) ),
inference(variable_rename,[status(thm)],[f_119_1]) ).
fof(f_119_3,plain,
( ! [U_652,U_645,U_638] :
( ! [U_631,U_624,U_617,U_610] :
( ! [U_603] :
( s_ifs(U_652,U_645,U_638,U_631,U_624,U_617,U_610,U_603)
| ~ s_e(U_638,U_631,U_610,U_603)
| ~ s_e(U_652,U_631,U_624,U_603) )
| ~ s_e(U_645,U_638,U_617,U_610)
| ~ s_e(U_652,U_638,U_624,U_610)
| ~ s_t(U_624,U_617,U_610) )
| ~ s_t(U_652,U_645,U_638) )
& ! [U_651,U_644,U_637,U_630,U_623,U_616,U_609,U_602] :
( s_e(U_637,U_630,U_609,U_602)
| ~ s_ifs(U_651,U_644,U_637,U_630,U_623,U_616,U_609,U_602) )
& ! [U_650,U_643,U_636,U_629,U_622,U_615,U_608,U_601] :
( s_e(U_650,U_629,U_622,U_601)
| ~ s_ifs(U_650,U_643,U_636,U_629,U_622,U_615,U_608,U_601) )
& ! [U_649,U_642,U_635,U_628,U_621,U_614,U_607] :
( ! [U_600] : ~ s_ifs(U_649,U_642,U_635,U_628,U_621,U_614,U_607,U_600)
| s_e(U_642,U_635,U_614,U_607) )
& ! [U_648,U_641,U_634,U_627,U_620,U_613,U_606] :
( ! [U_599] : ~ s_ifs(U_648,U_641,U_634,U_627,U_620,U_613,U_606,U_599)
| s_e(U_648,U_634,U_620,U_606) )
& ! [U_647,U_640,U_633,U_626,U_619,U_612,U_605] :
( ! [U_598] : ~ s_ifs(U_647,U_640,U_633,U_626,U_619,U_612,U_605,U_598)
| s_t(U_619,U_612,U_605) )
& ! [U_646,U_639,U_632] :
( ! [U_625,U_618,U_611,U_604,U_597] : ~ s_ifs(U_646,U_639,U_632,U_625,U_618,U_611,U_604,U_597)
| s_t(U_646,U_639,U_632) ) ),
inference(miniscope,[status(thm)],[f_119_2]) ).
fof(f_119_4,plain,
( ! [U_624,U_638,U_645,U_652,U_610,U_603,U_631,U_617] :
( s_ifs(U_652,U_645,U_638,U_631,U_624,U_617,U_610,U_603)
| ~ s_e(U_638,U_631,U_610,U_603)
| ~ s_e(U_652,U_631,U_624,U_603)
| ~ s_e(U_645,U_638,U_617,U_610)
| ~ s_e(U_652,U_638,U_624,U_610)
| ~ s_t(U_624,U_617,U_610)
| ~ s_t(U_652,U_645,U_638) )
& ! [U_623,U_651,U_609,U_644,U_616,U_637,U_602,U_630] :
( s_e(U_637,U_630,U_609,U_602)
| ~ s_ifs(U_651,U_644,U_637,U_630,U_623,U_616,U_609,U_602) )
& ! [U_650,U_622,U_643,U_615,U_608,U_629,U_601,U_636] :
( s_e(U_650,U_629,U_622,U_601)
| ~ s_ifs(U_650,U_643,U_636,U_629,U_622,U_615,U_608,U_601) )
& ! [U_614,U_628,U_600,U_621,U_649,U_635,U_642,U_607] :
( ~ s_ifs(U_649,U_642,U_635,U_628,U_621,U_614,U_607,U_600)
| s_e(U_642,U_635,U_614,U_607) )
& ! [U_613,U_599,U_606,U_627,U_648,U_634,U_620,U_641] :
( ~ s_ifs(U_648,U_641,U_634,U_627,U_620,U_613,U_606,U_599)
| s_e(U_648,U_634,U_620,U_606) )
& ! [U_626,U_598,U_619,U_605,U_647,U_640,U_612,U_633] :
( ~ s_ifs(U_647,U_640,U_633,U_626,U_619,U_612,U_605,U_598)
| s_t(U_619,U_612,U_605) )
& ! [U_611,U_639,U_632,U_604,U_597,U_618,U_625,U_646] :
( ~ s_ifs(U_646,U_639,U_632,U_625,U_618,U_611,U_604,U_597)
| s_t(U_646,U_639,U_632) ) ),
inference(definitional_conversion,[status(esa)],[f_119_3]) ).
cnf(f_119_5,plain,
( ~ s_ifs(U_646,U_639,U_632,U_625,U_618,U_611,U_604,U_597)
| s_t(U_646,U_639,U_632) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_6,plain,
( ~ s_ifs(U_647,U_640,U_633,U_626,U_619,U_612,U_605,U_598)
| s_t(U_619,U_612,U_605) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_7,plain,
( ~ s_ifs(U_648,U_641,U_634,U_627,U_620,U_613,U_606,U_599)
| s_e(U_648,U_634,U_620,U_606) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_8,plain,
( ~ s_ifs(U_649,U_642,U_635,U_628,U_621,U_614,U_607,U_600)
| s_e(U_642,U_635,U_614,U_607) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_9,plain,
( s_e(U_650,U_629,U_622,U_601)
| ~ s_ifs(U_650,U_643,U_636,U_629,U_622,U_615,U_608,U_601) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_10,plain,
( s_e(U_637,U_630,U_609,U_602)
| ~ s_ifs(U_651,U_644,U_637,U_630,U_623,U_616,U_609,U_602) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_11,plain,
( s_ifs(U_652,U_645,U_638,U_631,U_624,U_617,U_610,U_603)
| ~ s_e(U_638,U_631,U_610,U_603)
| ~ s_e(U_652,U_631,U_624,U_603)
| ~ s_e(U_645,U_638,U_617,U_610)
| ~ s_e(U_652,U_638,U_624,U_610)
| ~ s_t(U_624,U_617,U_610)
| ~ s_t(U_652,U_645,U_638) ),
inference(clausify,[status(thm)],[f_119_4]) ).
fof(f_120_1,plain,
! [Xa1,Xa2,Xa3,Xb1,Xb2,Xb3] :
( ( s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)
| ~ s_e(Xa2,Xa3,Xb2,Xb3)
| ~ s_e(Xa1,Xa3,Xb1,Xb3)
| ~ s_e(Xa1,Xa2,Xb1,Xb2) )
& ( s_e(Xa2,Xa3,Xb2,Xb3)
| ~ s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) )
& ( s_e(Xa1,Xa3,Xb1,Xb3)
| ~ s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) )
& ( s_e(Xa1,Xa2,Xb1,Xb2)
| ~ s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) ) ),
inference(fof_nnf,[status(thm)],[d_Defn4_4]) ).
fof(f_120_2,plain,
! [U_658,U_657,U_656,U_655,U_654,U_653] :
( ( s_e3(U_658,U_657,U_656,U_655,U_654,U_653)
| ~ s_e(U_657,U_656,U_654,U_653)
| ~ s_e(U_658,U_656,U_655,U_653)
| ~ s_e(U_658,U_657,U_655,U_654) )
& ( s_e(U_657,U_656,U_654,U_653)
| ~ s_e3(U_658,U_657,U_656,U_655,U_654,U_653) )
& ( s_e(U_658,U_656,U_655,U_653)
| ~ s_e3(U_658,U_657,U_656,U_655,U_654,U_653) )
& ( s_e(U_658,U_657,U_655,U_654)
| ~ s_e3(U_658,U_657,U_656,U_655,U_654,U_653) ) ),
inference(variable_rename,[status(thm)],[f_120_1]) ).
fof(f_120_3,plain,
( ! [U_682,U_678,U_674,U_670,U_666] :
( ! [U_662] :
( s_e3(U_682,U_678,U_674,U_670,U_666,U_662)
| ~ s_e(U_678,U_674,U_666,U_662)
| ~ s_e(U_682,U_674,U_670,U_662) )
| ~ s_e(U_682,U_678,U_670,U_666) )
& ! [U_681,U_677,U_673,U_669,U_665,U_661] :
( s_e(U_677,U_673,U_665,U_661)
| ~ s_e3(U_681,U_677,U_673,U_669,U_665,U_661) )
& ! [U_680,U_676,U_672,U_668,U_664,U_660] :
( s_e(U_680,U_672,U_668,U_660)
| ~ s_e3(U_680,U_676,U_672,U_668,U_664,U_660) )
& ! [U_679,U_675,U_671,U_667,U_663] :
( ! [U_659] : ~ s_e3(U_679,U_675,U_671,U_667,U_663,U_659)
| s_e(U_679,U_675,U_667,U_663) ) ),
inference(miniscope,[status(thm)],[f_120_2]) ).
fof(f_120_4,plain,
( ! [U_666,U_678,U_662,U_674,U_670,U_682] :
( s_e3(U_682,U_678,U_674,U_670,U_666,U_662)
| ~ s_e(U_678,U_674,U_666,U_662)
| ~ s_e(U_682,U_674,U_670,U_662)
| ~ s_e(U_682,U_678,U_670,U_666) )
& ! [U_673,U_681,U_661,U_677,U_665,U_669] :
( s_e(U_677,U_673,U_665,U_661)
| ~ s_e3(U_681,U_677,U_673,U_669,U_665,U_661) )
& ! [U_672,U_664,U_660,U_676,U_668,U_680] :
( s_e(U_680,U_672,U_668,U_660)
| ~ s_e3(U_680,U_676,U_672,U_668,U_664,U_660) )
& ! [U_659,U_663,U_675,U_667,U_679,U_671] :
( ~ s_e3(U_679,U_675,U_671,U_667,U_663,U_659)
| s_e(U_679,U_675,U_667,U_663) ) ),
inference(definitional_conversion,[status(esa)],[f_120_3]) ).
cnf(f_120_5,plain,
( ~ s_e3(U_679,U_675,U_671,U_667,U_663,U_659)
| s_e(U_679,U_675,U_667,U_663) ),
inference(clausify,[status(thm)],[f_120_4]) ).
cnf(f_120_6,plain,
( s_e(U_680,U_672,U_668,U_660)
| ~ s_e3(U_680,U_676,U_672,U_668,U_664,U_660) ),
inference(clausify,[status(thm)],[f_120_4]) ).
cnf(f_120_7,plain,
( s_e(U_677,U_673,U_665,U_661)
| ~ s_e3(U_681,U_677,U_673,U_669,U_665,U_661) ),
inference(clausify,[status(thm)],[f_120_4]) ).
cnf(f_120_8,plain,
( s_e3(U_682,U_678,U_674,U_670,U_666,U_662)
| ~ s_e(U_678,U_674,U_666,U_662)
| ~ s_e(U_682,U_674,U_670,U_662)
| ~ s_e(U_682,U_678,U_670,U_666) ),
inference(clausify,[status(thm)],[f_120_4]) ).
fof(f_121_1,plain,
! [Xa,Xb,Xc] :
( ( ~ s_t(Xc,Xa,Xb)
| s_col(Xa,Xb,Xc) )
& ( ~ s_t(Xb,Xc,Xa)
| s_col(Xa,Xb,Xc) )
& ( ~ s_t(Xa,Xb,Xc)
| s_col(Xa,Xb,Xc) )
& ( s_t(Xc,Xa,Xb)
| s_t(Xb,Xc,Xa)
| s_t(Xa,Xb,Xc)
| ~ s_col(Xa,Xb,Xc) ) ),
inference(fof_nnf,[status(thm)],[d_Defn4_10]) ).
fof(f_121_2,plain,
! [U_685,U_684,U_683] :
( ( ~ s_t(U_683,U_685,U_684)
| s_col(U_685,U_684,U_683) )
& ( ~ s_t(U_684,U_683,U_685)
| s_col(U_685,U_684,U_683) )
& ( ~ s_t(U_685,U_684,U_683)
| s_col(U_685,U_684,U_683) )
& ( s_t(U_683,U_685,U_684)
| s_t(U_684,U_683,U_685)
| s_t(U_685,U_684,U_683)
| ~ s_col(U_685,U_684,U_683) ) ),
inference(variable_rename,[status(thm)],[f_121_1]) ).
fof(f_121_3,plain,
( ! [U_697,U_693,U_689] :
( ~ s_t(U_689,U_697,U_693)
| s_col(U_697,U_693,U_689) )
& ! [U_696,U_692,U_688] :
( ~ s_t(U_692,U_688,U_696)
| s_col(U_696,U_692,U_688) )
& ! [U_695,U_691,U_687] :
( ~ s_t(U_695,U_691,U_687)
| s_col(U_695,U_691,U_687) )
& ! [U_694,U_690,U_686] :
( s_t(U_686,U_694,U_690)
| s_t(U_690,U_686,U_694)
| s_t(U_694,U_690,U_686)
| ~ s_col(U_694,U_690,U_686) ) ),
inference(miniscope,[status(thm)],[f_121_2]) ).
fof(f_121_4,plain,
( ! [U_689,U_693,U_697] :
( ~ s_t(U_689,U_697,U_693)
| s_col(U_697,U_693,U_689) )
& ! [U_692,U_696,U_688] :
( ~ s_t(U_692,U_688,U_696)
| s_col(U_696,U_692,U_688) )
& ! [U_687,U_695,U_691] :
( ~ s_t(U_695,U_691,U_687)
| s_col(U_695,U_691,U_687) )
& ! [U_686,U_690,U_694] :
( s_t(U_686,U_694,U_690)
| s_t(U_690,U_686,U_694)
| s_t(U_694,U_690,U_686)
| ~ s_col(U_694,U_690,U_686) ) ),
inference(definitional_conversion,[status(esa)],[f_121_3]) ).
cnf(f_121_5,plain,
( s_t(U_686,U_694,U_690)
| s_t(U_690,U_686,U_694)
| s_t(U_694,U_690,U_686)
| ~ s_col(U_694,U_690,U_686) ),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_6,plain,
( ~ s_t(U_695,U_691,U_687)
| s_col(U_695,U_691,U_687) ),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_7,plain,
( ~ s_t(U_692,U_688,U_696)
| s_col(U_696,U_692,U_688) ),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_8,plain,
( ~ s_t(U_689,U_697,U_693)
| s_col(U_697,U_693,U_689) ),
inference(clausify,[status(thm)],[f_121_4]) ).
fof(f_122_1,plain,
! [Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1] :
( ( s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)
| ~ s_e(Xb,Xd,Xb1,Xd1)
| ~ s_e(Xa,Xd,Xa1,Xd1)
| ~ s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_col(Xa,Xb,Xc) )
& ( s_e(Xb,Xd,Xb1,Xd1)
| ~ s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) )
& ( s_e(Xa,Xd,Xa1,Xd1)
| ~ s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) )
& ( s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) )
& ( s_col(Xa,Xb,Xc)
| ~ s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) ) ),
inference(fof_nnf,[status(thm)],[d_Defn4_15]) ).
fof(f_122_2,plain,
! [U_705,U_704,U_703,U_702,U_701,U_700,U_699,U_698] :
( ( s_fs(U_705,U_704,U_703,U_702,U_701,U_700,U_699,U_698)
| ~ s_e(U_704,U_702,U_700,U_698)
| ~ s_e(U_705,U_702,U_701,U_698)
| ~ s_e3(U_705,U_704,U_703,U_701,U_700,U_699)
| ~ s_col(U_705,U_704,U_703) )
& ( s_e(U_704,U_702,U_700,U_698)
| ~ s_fs(U_705,U_704,U_703,U_702,U_701,U_700,U_699,U_698) )
& ( s_e(U_705,U_702,U_701,U_698)
| ~ s_fs(U_705,U_704,U_703,U_702,U_701,U_700,U_699,U_698) )
& ( s_e3(U_705,U_704,U_703,U_701,U_700,U_699)
| ~ s_fs(U_705,U_704,U_703,U_702,U_701,U_700,U_699,U_698) )
& ( s_col(U_705,U_704,U_703)
| ~ s_fs(U_705,U_704,U_703,U_702,U_701,U_700,U_699,U_698) ) ),
inference(variable_rename,[status(thm)],[f_122_1]) ).
fof(f_122_3,plain,
( ! [U_745,U_740,U_735] :
( ! [U_730,U_725,U_720,U_715] :
( ! [U_710] :
( s_fs(U_745,U_740,U_735,U_730,U_725,U_720,U_715,U_710)
| ~ s_e(U_740,U_730,U_720,U_710)
| ~ s_e(U_745,U_730,U_725,U_710) )
| ~ s_e3(U_745,U_740,U_735,U_725,U_720,U_715) )
| ~ s_col(U_745,U_740,U_735) )
& ! [U_744,U_739,U_734,U_729,U_724,U_719,U_714,U_709] :
( s_e(U_739,U_729,U_719,U_709)
| ~ s_fs(U_744,U_739,U_734,U_729,U_724,U_719,U_714,U_709) )
& ! [U_743,U_738,U_733,U_728,U_723,U_718,U_713,U_708] :
( s_e(U_743,U_728,U_723,U_708)
| ~ s_fs(U_743,U_738,U_733,U_728,U_723,U_718,U_713,U_708) )
& ! [U_742,U_737,U_732,U_727,U_722,U_717,U_712] :
( ! [U_707] : ~ s_fs(U_742,U_737,U_732,U_727,U_722,U_717,U_712,U_707)
| s_e3(U_742,U_737,U_732,U_722,U_717,U_712) )
& ! [U_741,U_736,U_731] :
( ! [U_726,U_721,U_716,U_711,U_706] : ~ s_fs(U_741,U_736,U_731,U_726,U_721,U_716,U_711,U_706)
| s_col(U_741,U_736,U_731) ) ),
inference(miniscope,[status(thm)],[f_122_2]) ).
fof(f_122_4,plain,
( ! [U_720,U_735,U_710,U_725,U_715,U_730,U_740,U_745] :
( s_fs(U_745,U_740,U_735,U_730,U_725,U_720,U_715,U_710)
| ~ s_e(U_740,U_730,U_720,U_710)
| ~ s_e(U_745,U_730,U_725,U_710)
| ~ s_e3(U_745,U_740,U_735,U_725,U_720,U_715)
| ~ s_col(U_745,U_740,U_735) )
& ! [U_739,U_734,U_729,U_719,U_724,U_709,U_714,U_744] :
( s_e(U_739,U_729,U_719,U_709)
| ~ s_fs(U_744,U_739,U_734,U_729,U_724,U_719,U_714,U_709) )
& ! [U_718,U_708,U_713,U_723,U_728,U_738,U_743,U_733] :
( s_e(U_743,U_728,U_723,U_708)
| ~ s_fs(U_743,U_738,U_733,U_728,U_723,U_718,U_713,U_708) )
& ! [U_712,U_737,U_722,U_727,U_707,U_717,U_742,U_732] :
( ~ s_fs(U_742,U_737,U_732,U_727,U_722,U_717,U_712,U_707)
| s_e3(U_742,U_737,U_732,U_722,U_717,U_712) )
& ! [U_706,U_741,U_711,U_736,U_716,U_721,U_731,U_726] :
( ~ s_fs(U_741,U_736,U_731,U_726,U_721,U_716,U_711,U_706)
| s_col(U_741,U_736,U_731) ) ),
inference(definitional_conversion,[status(esa)],[f_122_3]) ).
cnf(f_122_5,plain,
( ~ s_fs(U_741,U_736,U_731,U_726,U_721,U_716,U_711,U_706)
| s_col(U_741,U_736,U_731) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_6,plain,
( ~ s_fs(U_742,U_737,U_732,U_727,U_722,U_717,U_712,U_707)
| s_e3(U_742,U_737,U_732,U_722,U_717,U_712) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_7,plain,
( s_e(U_743,U_728,U_723,U_708)
| ~ s_fs(U_743,U_738,U_733,U_728,U_723,U_718,U_713,U_708) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_8,plain,
( s_e(U_739,U_729,U_719,U_709)
| ~ s_fs(U_744,U_739,U_734,U_729,U_724,U_719,U_714,U_709) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_9,plain,
( s_fs(U_745,U_740,U_735,U_730,U_725,U_720,U_715,U_710)
| ~ s_e(U_740,U_730,U_720,U_710)
| ~ s_e(U_745,U_730,U_725,U_710)
| ~ s_e3(U_745,U_740,U_735,U_725,U_720,U_715)
| ~ s_col(U_745,U_740,U_735) ),
inference(clausify,[status(thm)],[f_122_4]) ).
fof(f_123_1,plain,
! [Xa,Xb,Xc,Xd,Y] :
( ( le(Xa,Xb,Xc,Xd)
| ~ s_e(Xa,Xb,Xc,Y)
| ~ s_t(Xc,Y,Xd) )
& ( s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd))
| ~ le(Xa,Xb,Xc,Xd) )
& ( s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd)
| ~ le(Xa,Xb,Xc,Xd) ) ),
inference(fof_nnf,[status(thm)],[d_Defn5_4]) ).
fof(f_123_2,plain,
! [U_750,U_749,U_748,U_747,U_746] :
( ( le(U_750,U_749,U_748,U_747)
| ~ s_e(U_750,U_749,U_748,U_746)
| ~ s_t(U_748,U_746,U_747) )
& ( s_e(U_750,U_749,U_748,insert(U_750,U_749,U_748,U_747))
| ~ le(U_750,U_749,U_748,U_747) )
& ( s_t(U_748,insert(U_750,U_749,U_748,U_747),U_747)
| ~ le(U_750,U_749,U_748,U_747) ) ),
inference(variable_rename,[status(thm)],[f_123_1]) ).
fof(f_123_3,plain,
( ! [U_762,U_759,U_756,U_753] :
( ! [U_746] :
( ~ s_e(U_762,U_759,U_756,U_746)
| ~ s_t(U_756,U_746,U_753) )
| le(U_762,U_759,U_756,U_753) )
& ! [U_761,U_758,U_755,U_752] :
( s_e(U_761,U_758,U_755,insert(U_761,U_758,U_755,U_752))
| ~ le(U_761,U_758,U_755,U_752) )
& ! [U_760,U_757,U_754,U_751] :
( s_t(U_754,insert(U_760,U_757,U_754,U_751),U_751)
| ~ le(U_760,U_757,U_754,U_751) ) ),
inference(miniscope,[status(thm)],[f_123_2]) ).
fof(f_123_4,plain,
( ! [U_756,U_759,U_762,U_746,U_753] :
( ~ s_e(U_762,U_759,U_756,U_746)
| ~ s_t(U_756,U_746,U_753)
| le(U_762,U_759,U_756,U_753) )
& ! [U_758,U_752,U_755,U_761] :
( s_e(U_761,U_758,U_755,insert(U_761,U_758,U_755,U_752))
| ~ le(U_761,U_758,U_755,U_752) )
& ! [U_754,U_751,U_757,U_760] :
( s_t(U_754,insert(U_760,U_757,U_754,U_751),U_751)
| ~ le(U_760,U_757,U_754,U_751) ) ),
inference(definitional_conversion,[status(esa)],[f_123_3]) ).
cnf(f_123_5,plain,
( s_t(U_754,insert(U_760,U_757,U_754,U_751),U_751)
| ~ le(U_760,U_757,U_754,U_751) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_6,plain,
( s_e(U_761,U_758,U_755,insert(U_761,U_758,U_755,U_752))
| ~ le(U_761,U_758,U_755,U_752) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_7,plain,
( ~ s_e(U_762,U_759,U_756,U_746)
| ~ s_t(U_756,U_746,U_753)
| le(U_762,U_759,U_756,U_753) ),
inference(clausify,[status(thm)],[f_123_4]) ).
fof(f_124_1,plain,
! [Xa,Xp,Xb] :
( ( sameside(Xa,Xp,Xb)
| Xb = Xp
| Xa = Xp
| ~ s_t(Xp,Xb,Xa) )
& ( sameside(Xa,Xp,Xb)
| xb = Xp
| Xa = Xp
| ~ s_t(Xp,Xa,Xb) )
& ( s_t(Xp,Xb,Xa)
| s_t(Xp,Xa,Xb)
| ~ sameside(Xa,Xp,Xb) )
& ( Xb != Xp
| ~ sameside(Xa,Xp,Xb) )
& ( Xa != Xp
| ~ sameside(Xa,Xp,Xb) ) ),
inference(fof_nnf,[status(thm)],[d_Defn6_1]) ).
fof(f_124_2,plain,
! [U_765,U_764,U_763] :
( ( sameside(U_765,U_764,U_763)
| U_763 = U_764
| U_765 = U_764
| ~ s_t(U_764,U_763,U_765) )
& ( sameside(U_765,U_764,U_763)
| xb = U_764
| U_765 = U_764
| ~ s_t(U_764,U_765,U_763) )
& ( s_t(U_764,U_763,U_765)
| s_t(U_764,U_765,U_763)
| ~ sameside(U_765,U_764,U_763) )
& ( U_763 != U_764
| ~ sameside(U_765,U_764,U_763) )
& ( U_765 != U_764
| ~ sameside(U_765,U_764,U_763) ) ),
inference(variable_rename,[status(thm)],[f_124_1]) ).
fof(f_124_3,plain,
( ! [U_780,U_775] :
( ! [U_770] :
( sameside(U_780,U_775,U_770)
| U_770 = U_775
| ~ s_t(U_775,U_770,U_780) )
| U_780 = U_775 )
& ! [U_779,U_774] :
( ! [U_769] :
( sameside(U_779,U_774,U_769)
| ~ s_t(U_774,U_779,U_769) )
| xb = U_774
| U_779 = U_774 )
& ! [U_778,U_773,U_768] :
( s_t(U_773,U_768,U_778)
| s_t(U_773,U_778,U_768)
| ~ sameside(U_778,U_773,U_768) )
& ! [U_777,U_772,U_767] :
( U_767 != U_772
| ~ sameside(U_777,U_772,U_767) )
& ! [U_776,U_771] :
( ! [U_766] : ~ sameside(U_776,U_771,U_766)
| U_776 != U_771 ) ),
inference(miniscope,[status(thm)],[f_124_2]) ).
fof(f_124_4,plain,
( ! [U_780,U_775,U_770] :
( sameside(U_780,U_775,U_770)
| U_770 = U_775
| ~ s_t(U_775,U_770,U_780)
| U_780 = U_775 )
& ! [U_779,U_774,U_769] :
( sameside(U_779,U_774,U_769)
| ~ s_t(U_774,U_779,U_769)
| xb = U_774
| U_779 = U_774 )
& ! [U_768,U_778,U_773] :
( s_t(U_773,U_768,U_778)
| s_t(U_773,U_778,U_768)
| ~ sameside(U_778,U_773,U_768) )
& ! [U_767,U_777,U_772] :
( U_767 != U_772
| ~ sameside(U_777,U_772,U_767) )
& ! [U_766,U_776,U_771] :
( ~ sameside(U_776,U_771,U_766)
| U_776 != U_771 ) ),
inference(definitional_conversion,[status(esa)],[f_124_3]) ).
cnf(f_124_5,plain,
( ~ sameside(U_776,U_771,U_766)
| U_776 != U_771 ),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_6,plain,
( U_767 != U_772
| ~ sameside(U_777,U_772,U_767) ),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_7,plain,
( s_t(U_773,U_768,U_778)
| s_t(U_773,U_778,U_768)
| ~ sameside(U_778,U_773,U_768) ),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_8,plain,
( sameside(U_779,U_774,U_769)
| ~ s_t(U_774,U_779,U_769)
| xb = U_774
| U_779 = U_774 ),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_9,plain,
( sameside(U_780,U_775,U_770)
| U_770 = U_775
| ~ s_t(U_775,U_770,U_780)
| U_780 = U_775 ),
inference(clausify,[status(thm)],[f_124_4]) ).
fof(f_125_1,plain,
! [Xa,Xm,Xb] :
( ( s_m(Xa,Xm,Xb)
| ~ s_e(Xm,Xa,Xm,Xb)
| ~ s_t(Xa,Xm,Xb) )
& ( s_e(Xm,Xa,Xm,Xb)
| ~ s_m(Xa,Xm,Xb) )
& ( s_t(Xa,Xm,Xb)
| ~ s_m(Xa,Xm,Xb) ) ),
inference(fof_nnf,[status(thm)],[d_Defn7_1]) ).
fof(f_125_2,plain,
! [U_783,U_782,U_781] :
( ( s_m(U_783,U_782,U_781)
| ~ s_e(U_782,U_783,U_782,U_781)
| ~ s_t(U_783,U_782,U_781) )
& ( s_e(U_782,U_783,U_782,U_781)
| ~ s_m(U_783,U_782,U_781) )
& ( s_t(U_783,U_782,U_781)
| ~ s_m(U_783,U_782,U_781) ) ),
inference(variable_rename,[status(thm)],[f_125_1]) ).
fof(f_125_3,plain,
( ! [U_792,U_789,U_786] :
( s_m(U_792,U_789,U_786)
| ~ s_e(U_789,U_792,U_789,U_786)
| ~ s_t(U_792,U_789,U_786) )
& ! [U_791,U_788,U_785] :
( s_e(U_788,U_791,U_788,U_785)
| ~ s_m(U_791,U_788,U_785) )
& ! [U_790,U_787,U_784] :
( s_t(U_790,U_787,U_784)
| ~ s_m(U_790,U_787,U_784) ) ),
inference(miniscope,[status(thm)],[f_125_2]) ).
fof(f_125_4,plain,
( ! [U_789,U_792,U_786] :
( s_m(U_792,U_789,U_786)
| ~ s_e(U_789,U_792,U_789,U_786)
| ~ s_t(U_792,U_789,U_786) )
& ! [U_785,U_788,U_791] :
( s_e(U_788,U_791,U_788,U_785)
| ~ s_m(U_791,U_788,U_785) )
& ! [U_790,U_787,U_784] :
( s_t(U_790,U_787,U_784)
| ~ s_m(U_790,U_787,U_784) ) ),
inference(definitional_conversion,[status(esa)],[f_125_3]) ).
cnf(f_125_5,plain,
( s_t(U_790,U_787,U_784)
| ~ s_m(U_790,U_787,U_784) ),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_6,plain,
( s_e(U_788,U_791,U_788,U_785)
| ~ s_m(U_791,U_788,U_785) ),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_7,plain,
( s_m(U_792,U_789,U_786)
| ~ s_e(U_789,U_792,U_789,U_786)
| ~ s_t(U_792,U_789,U_786) ),
inference(clausify,[status(thm)],[f_125_4]) ).
fof(f_126_1,plain,
! [Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2] :
( ( s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)
| ~ s_m(Xa2,Xm2,Xb2)
| ~ s_m(Xa1,Xm1,Xb1)
| ~ s_e(Xc,Xa2,Xc,Xb2)
| ~ s_e(Xc,Xa1,Xc,Xb1)
| ~ s_t(Xb1,Xc,Xb2)
| ~ s_t(Xa1,Xc,Xa2) )
& ( s_m(Xa2,Xm2,Xb2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) )
& ( s_m(Xa1,Xm1,Xb1)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) )
& ( s_e(Xc,Xa2,Xc,Xb2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) )
& ( s_e(Xc,Xa1,Xc,Xb1)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) )
& ( s_t(Xb1,Xc,Xb2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) )
& ( s_t(Xa1,Xc,Xa2)
| ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) ) ),
inference(fof_nnf,[status(thm)],[d_Defn7_23]) ).
fof(f_126_2,plain,
! [U_799,U_798,U_797,U_796,U_795,U_794,U_793] :
( ( s_kf(U_799,U_798,U_797,U_796,U_795,U_794,U_793)
| ~ s_m(U_793,U_794,U_795)
| ~ s_m(U_799,U_798,U_797)
| ~ s_e(U_796,U_793,U_796,U_795)
| ~ s_e(U_796,U_799,U_796,U_797)
| ~ s_t(U_797,U_796,U_795)
| ~ s_t(U_799,U_796,U_793) )
& ( s_m(U_793,U_794,U_795)
| ~ s_kf(U_799,U_798,U_797,U_796,U_795,U_794,U_793) )
& ( s_m(U_799,U_798,U_797)
| ~ s_kf(U_799,U_798,U_797,U_796,U_795,U_794,U_793) )
& ( s_e(U_796,U_793,U_796,U_795)
| ~ s_kf(U_799,U_798,U_797,U_796,U_795,U_794,U_793) )
& ( s_e(U_796,U_799,U_796,U_797)
| ~ s_kf(U_799,U_798,U_797,U_796,U_795,U_794,U_793) )
& ( s_t(U_797,U_796,U_795)
| ~ s_kf(U_799,U_798,U_797,U_796,U_795,U_794,U_793) )
& ( s_t(U_799,U_796,U_793)
| ~ s_kf(U_799,U_798,U_797,U_796,U_795,U_794,U_793) ) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
fof(f_126_3,plain,
( ! [U_848,U_841,U_834] :
( ! [U_827] :
( ! [U_820] :
( ! [U_813,U_806] :
( s_kf(U_848,U_841,U_834,U_827,U_820,U_813,U_806)
| ~ s_m(U_806,U_813,U_820)
| ~ s_e(U_827,U_806,U_827,U_820)
| ~ s_t(U_848,U_827,U_806) )
| ~ s_t(U_834,U_827,U_820) )
| ~ s_e(U_827,U_848,U_827,U_834) )
| ~ s_m(U_848,U_841,U_834) )
& ! [U_847,U_840,U_833,U_826,U_819,U_812,U_805] :
( s_m(U_805,U_812,U_819)
| ~ s_kf(U_847,U_840,U_833,U_826,U_819,U_812,U_805) )
& ! [U_846,U_839,U_832] :
( ! [U_825,U_818,U_811,U_804] : ~ s_kf(U_846,U_839,U_832,U_825,U_818,U_811,U_804)
| s_m(U_846,U_839,U_832) )
& ! [U_845,U_838,U_831,U_824,U_817,U_810,U_803] :
( s_e(U_824,U_803,U_824,U_817)
| ~ s_kf(U_845,U_838,U_831,U_824,U_817,U_810,U_803) )
& ! [U_844,U_837,U_830,U_823] :
( ! [U_816,U_809,U_802] : ~ s_kf(U_844,U_837,U_830,U_823,U_816,U_809,U_802)
| s_e(U_823,U_844,U_823,U_830) )
& ! [U_843,U_836,U_829,U_822,U_815] :
( ! [U_808,U_801] : ~ s_kf(U_843,U_836,U_829,U_822,U_815,U_808,U_801)
| s_t(U_829,U_822,U_815) )
& ! [U_842,U_835,U_828,U_821,U_814,U_807,U_800] :
( s_t(U_842,U_821,U_800)
| ~ s_kf(U_842,U_835,U_828,U_821,U_814,U_807,U_800) ) ),
inference(miniscope,[status(thm)],[f_126_2]) ).
fof(f_126_4,plain,
( ! [U_827,U_820,U_848,U_813,U_806,U_834,U_841] :
( s_kf(U_848,U_841,U_834,U_827,U_820,U_813,U_806)
| ~ s_m(U_806,U_813,U_820)
| ~ s_e(U_827,U_806,U_827,U_820)
| ~ s_t(U_848,U_827,U_806)
| ~ s_t(U_834,U_827,U_820)
| ~ s_e(U_827,U_848,U_827,U_834)
| ~ s_m(U_848,U_841,U_834) )
& ! [U_826,U_819,U_805,U_840,U_833,U_847,U_812] :
( s_m(U_805,U_812,U_819)
| ~ s_kf(U_847,U_840,U_833,U_826,U_819,U_812,U_805) )
& ! [U_804,U_846,U_839,U_811,U_818,U_825,U_832] :
( ~ s_kf(U_846,U_839,U_832,U_825,U_818,U_811,U_804)
| s_m(U_846,U_839,U_832) )
& ! [U_803,U_831,U_810,U_845,U_817,U_824,U_838] :
( s_e(U_824,U_803,U_824,U_817)
| ~ s_kf(U_845,U_838,U_831,U_824,U_817,U_810,U_803) )
& ! [U_830,U_844,U_809,U_802,U_823,U_816,U_837] :
( ~ s_kf(U_844,U_837,U_830,U_823,U_816,U_809,U_802)
| s_e(U_823,U_844,U_823,U_830) )
& ! [U_836,U_808,U_801,U_822,U_815,U_829,U_843] :
( ~ s_kf(U_843,U_836,U_829,U_822,U_815,U_808,U_801)
| s_t(U_829,U_822,U_815) )
& ! [U_828,U_842,U_800,U_814,U_835,U_807,U_821] :
( s_t(U_842,U_821,U_800)
| ~ s_kf(U_842,U_835,U_828,U_821,U_814,U_807,U_800) ) ),
inference(definitional_conversion,[status(esa)],[f_126_3]) ).
cnf(f_126_5,plain,
( s_t(U_842,U_821,U_800)
| ~ s_kf(U_842,U_835,U_828,U_821,U_814,U_807,U_800) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_6,plain,
( ~ s_kf(U_843,U_836,U_829,U_822,U_815,U_808,U_801)
| s_t(U_829,U_822,U_815) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_7,plain,
( ~ s_kf(U_844,U_837,U_830,U_823,U_816,U_809,U_802)
| s_e(U_823,U_844,U_823,U_830) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_8,plain,
( s_e(U_824,U_803,U_824,U_817)
| ~ s_kf(U_845,U_838,U_831,U_824,U_817,U_810,U_803) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_9,plain,
( ~ s_kf(U_846,U_839,U_832,U_825,U_818,U_811,U_804)
| s_m(U_846,U_839,U_832) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_10,plain,
( s_m(U_805,U_812,U_819)
| ~ s_kf(U_847,U_840,U_833,U_826,U_819,U_812,U_805) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_11,plain,
( s_kf(U_848,U_841,U_834,U_827,U_820,U_813,U_806)
| ~ s_m(U_806,U_813,U_820)
| ~ s_e(U_827,U_806,U_827,U_820)
| ~ s_t(U_848,U_827,U_806)
| ~ s_t(U_834,U_827,U_820)
| ~ s_e(U_827,U_848,U_827,U_834)
| ~ s_m(U_848,U_841,U_834) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( ext(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = ext(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( ip(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = ip(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( crossbar(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = crossbar(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( insert(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = insert(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( insert5(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = insert5(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( ins(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = ins(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( c63(Eq_x_0,Eq_x_1,Eq_x_2) = c63(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( pointOffLine(Eq_x_0,Eq_x_1) = pointOffLine(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( s(Eq_x_0,Eq_x_1) = s(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( s_e(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ s_e(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( s_t(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ s_t(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( s_ifs(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ s_ifs(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( s_e3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ s_e3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( s_col(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ s_col(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( s_fs(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ s_fs(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,axiom,
( le(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ le(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_20,axiom,
( sameside(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sameside(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_21,axiom,
( s_m(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ s_m(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( s_kf(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ s_kf(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( s_afs(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ s_afs(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO502+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.38 % Computer : n004.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Sat Sep 19 08:00:15 UTC 2026
% 0.11/10.39 % CPUTime :
% 31.77/42.05 % SZS status Theorem for theBenchmark
% 31.77/42.05 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------