%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO524+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 08:40:27 AM UTC 2026
% Result : Theorem 150.26s 150.50s
% Output : Proof 150.46s
% 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,axiom,
! [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(aSatz7_25,axiom,
! [Xc,Xa,Xb] :
( s_m(Xa,isomidpoint(Xa,Xb,Xc),Xb)
| ~ s_e(Xc,Xa,Xc,Xb) ),
file('theBenchmark.p',aSatz7_25) ).
fof(aSatz8_2,axiom,
! [Xa,Xb,Xc] :
( s_r(Xc,Xb,Xa)
| ~ s_r(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz8_2) ).
fof(aSatz8_3,axiom,
! [Xa,Xb,Xc,Xa1] :
( s_r(Xa1,Xb,Xc)
| ~ s_col(Xb,Xa,Xa1)
| Xa = Xb
| ~ s_r(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz8_3) ).
fof(aSatz8_4,axiom,
! [Xa,Xb,Xc] :
( s_r(Xa,Xb,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz8_4) ).
fof(aSatz8_5,axiom,
! [Xa,Xb] : s_r(Xa,Xb,Xb),
file('theBenchmark.p',aSatz8_5) ).
fof(aSatz8_6,axiom,
! [Xa,Xb,Xc,Xa1] :
( Xb = Xc
| ~ s_t(Xa,Xc,Xa1)
| ~ s_r(Xa1,Xb,Xc)
| ~ s_r(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz8_6) ).
fof(aSatz8_7,axiom,
! [Xa,Xb,Xc] :
( Xb = Xc
| ~ s_r(Xa,Xc,Xb)
| ~ s_r(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz8_7) ).
fof(aSatz8_8,axiom,
! [Xa,Xb] :
( Xa = Xb
| ~ s_r(Xa,Xb,Xa) ),
file('theBenchmark.p',aSatz8_8) ).
fof(aSatz8_9,axiom,
! [Xa,Xb,Xc] :
( Xc = Xb
| Xa = Xb
| ~ s_col(Xa,Xb,Xc)
| ~ s_r(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz8_9) ).
fof(aSatz8_10,axiom,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_r(Xa1,Xb1,Xc1)
| ~ s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_r(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz8_10) ).
fof(aSatz8_12a,axiom,
! [Xa,Xb,Xc,Xp,Xq] :
( perpAt(Xp,Xq,Xc,Xa,Xb)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) ),
file('theBenchmark.p',aSatz8_12a) ).
fof(aSatz8_12b,axiom,
! [Xa,Xb,Xp,Xq] :
( perp(Xp,Xq,Xa,Xb)
| ~ perp(Xa,Xb,Xp,Xq) ),
file('theBenchmark.p',aSatz8_12b) ).
fof(aSatz8_13a,axiom,
! [Xa,Xb,Xc,Xp,Xq] :
( ( s_r(f813(Xa,Xb,Xp,Xq,Xc),Xc,g813(Xa,Xb,Xp,Xq,Xc))
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( Xc != g813(Xa,Xb,Xp,Xq,Xc)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( Xc != f813(Xa,Xb,Xp,Xq,Xc)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( s_col(Xp,Xq,g813(Xa,Xb,Xp,Xq,Xc))
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( s_col(Xa,Xb,f813(Xa,Xb,Xp,Xq,Xc))
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( s_col(Xa,Xb,Xc)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( s_col(Xp,Xq,Xc)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( Xp != Xq
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( Xa != Xb
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) ) ),
file('theBenchmark.p',aSatz8_13a) ).
fof(aSatz8_13b,axiom,
! [Xa,Xb,Xp,Xq,Xcx,U,V] :
( perpAt(Xa,Xb,Xcx,Xp,Xq)
| ~ s_r(U,Xcx,V)
| Xcx = V
| Xcx = U
| ~ s_col(Xp,Xq,V)
| ~ s_col(Xa,Xb,U)
| ~ s_col(Xa,Xb,Xcx)
| ~ s_col(Xp,Xq,Xcx)
| Xp = Xq
| Xa = Xb ),
file('theBenchmark.p',aSatz8_13b) ).
fof(aSatz8_14a,axiom,
! [Xa,Xb,Xp,Xq] :
( ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp)
| ~ perp(Xa,Xb,Xp,Xq) ),
file('theBenchmark.p',aSatz8_14a) ).
fof(aSatz8_14b,axiom,
! [Xa,Xb,Xp,Xq,Xc] :
( perpAt(Xa,Xb,Xc,Xp,Xq)
| ~ s_col(Xp,Xq,Xc)
| ~ s_col(Xa,Xb,Xc)
| ~ perp(Xa,Xb,Xp,Xq) ),
file('theBenchmark.p',aSatz8_14b) ).
fof(aSatz8_14c,axiom,
! [Xa,Xb,Xc,Xp,Xq] :
( Xc = il(Xa,Xb,Xp,Xq)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) ),
file('theBenchmark.p',aSatz8_14c) ).
fof(aSatz8_15,axiom,
! [Xa,Xb,Xd,Xc] :
( perpAt(Xa,Xb,Xd,Xc,Xd)
| ~ perp(Xa,Xb,Xc,Xd)
| ~ s_col(Xa,Xb,Xd)
| Xa = Xb ),
file('theBenchmark.p',aSatz8_15) ).
fof(aSatz8_16a,axiom,
! [Xa,Xb,Xp,Xq,Xc] :
( ( ~ perp(Xa,Xb,Xc,Xp)
| s_r(Xc,Xp,Xq)
| Xq = Xp
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp)
| Xa = Xb )
& ( ~ perp(Xa,Xb,Xc,Xp)
| ~ s_col(Xa,Xb,Xc)
| Xq = Xp
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp)
| Xa = Xb ) ),
file('theBenchmark.p',aSatz8_16a) ).
fof(aSatz8_16b,axiom,
! [Xa,Xb,Xp,Xq,Xc] :
( ~ s_r(Xc,Xp,Xq)
| s_col(Xa,Xb,Xc)
| perp(Xa,Xb,Xc,Xp)
| Xq = Xp
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp)
| Xa = Xb ),
file('theBenchmark.p',aSatz8_16b) ).
fof(aSatz8_18a,axiom,
! [Xa,Xb,Xc,Xp,Xq] :
( Xp = Xq
| ~ perp(Xa,Xb,Xc,Xq)
| ~ perp(Xa,Xb,Xc,Xp)
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp)
| s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz8_18a) ).
fof(aSatz8_18,axiom,
! [Xa,Xb,Xc] :
( ( perp(Xa,Xb,Xc,foot(Xa,Xb,Xc))
| s_col(Xa,Xb,Xc) )
& ( s_col(Xa,Xb,foot(Xa,Xb,Xc))
| s_col(Xa,Xb,Xc) ) ),
file('theBenchmark.p',aSatz8_18) ).
fof(aSatz8_20a,axiom,
! [Xa,Xb,Xc,Xp] :
( s_r(Xb,Xa,Xp)
| ~ s_m(s(Xa,Xc),Xp,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz8_20a) ).
fof(aSatz8_20b,axiom,
! [Xa,Xb,Xc,Xp] :
( Xa != Xp
| Xb = Xc
| ~ s_m(s(Xa,Xc),Xp,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ),
file('theBenchmark.p',aSatz8_20b) ).
fof(aperp1,axiom,
! [Xa,Xb,Xp,Xq] :
( perp(Xb,Xa,Xp,Xq)
| ~ perp(Xa,Xb,Xp,Xq) ),
file('theBenchmark.p',aperp1) ).
fof(aExtCol2,axiom,
! [Xa,Xb,Xc,Xd,Xp] :
( s_col(Xa,Xb,Xp)
| ~ s_col(Xc,Xd,Xp)
| ~ s_col(Xa,Xb,Xd)
| ~ s_col(Xa,Xb,Xc)
| Xc = Xd
| Xa = Xb ),
file('theBenchmark.p',aExtCol2) ).
fof(aSatz8_21a,axiom,
! [Xa,Xb,Xc] :
( ( s_col(Xa,Xb,Xc)
| s_t(Xc,erectAux21a(Xa,Xb,Xc),erect21a(Xa,Xb,Xc))
| Xa = Xb )
& ( s_col(Xa,Xb,Xc)
| s_col(Xa,Xb,erectAux21a(Xa,Xb,Xc))
| Xa = Xb )
& ( s_col(Xa,Xb,Xc)
| perp(Xa,Xb,erect21a(Xa,Xb,Xc),Xa)
| Xa = Xb ) ),
file('theBenchmark.p',aSatz8_21a) ).
fof(aSatz8_21,axiom,
! [Xa,Xb,Xc] :
( ( s_t(Xc,erectAux(Xa,Xb,Xc),erect(Xa,Xb,Xc))
| Xa = Xb )
& ( s_col(Xa,Xb,erectAux(Xa,Xb,Xc))
| Xa = Xb )
& ( perp(Xa,Xb,erect(Xa,Xb,Xc),Xa)
| Xa = Xb ) ),
file('theBenchmark.p',aSatz8_21) ).
fof(aSatz8_22b,axiom,
! [Xa,Xp,Xb,Xq,Xt] :
( s_m(Xa,midpointAux(Xa,Xb,Xp,Xq,Xt),Xb)
| ~ s_col(Xa,Xb,Xt)
| ~ s_t(Xp,Xt,Xq)
| ~ perp(Xa,Xb,Xb,Xq)
| ~ perp(Xa,Xb,Xa,Xp)
| ~ le(Xa,Xp,Xb,Xq) ),
file('theBenchmark.p',aSatz8_22b) ).
fof(aSatz8_22,axiom,
! [Xa,Xb] : s_m(Xa,midpoint(Xa,Xb),Xb),
file('theBenchmark.p',aSatz8_22) ).
fof(aSatz8_24a,axiom,
! [Xp,Xa,Xb,Xq,Xt,Xr,Xcx] :
( s_m(Xa,Xcx,Xb)
| Xcx != ip(Xp,Xt,Xq,Xb,Xr)
| ~ s_e(Xa,Xp,Xb,Xr)
| ~ s_t(Xb,Xr,Xq)
| ~ s_t(Xp,Xt,Xq)
| ~ s_col(Xa,Xb,Xt)
| ~ perp(Xq,Xb,Xa,Xb)
| ~ perp(Xp,Xa,Xa,Xb) ),
file('theBenchmark.p',aSatz8_24a) ).
fof(aSatz8_24b,axiom,
! [Xp,Xa,Xb,Xq,Xt,Xr,Xcx] :
( s_m(Xp,Xcx,Xr)
| Xcx != ip(Xp,Xt,Xq,Xb,Xr)
| ~ s_e(Xa,Xp,Xb,Xr)
| ~ s_t(Xb,Xr,Xq)
| ~ s_t(Xp,Xt,Xq)
| ~ s_col(Xa,Xb,Xt)
| ~ perp(Xq,Xb,Xa,Xb)
| ~ perp(Xp,Xa,Xa,Xb) ),
file('theBenchmark.p',aSatz8_24b) ).
fof(aSatz8_24,axiom,
! [Xp,Xa,Xb,Xq,Xt,Xr] :
( s_m(Xp,midpoint(Xa,Xb),Xr)
| ~ s_e(Xa,Xp,Xb,Xr)
| ~ s_t(Xb,Xr,Xq)
| ~ s_t(Xp,Xt,Xq)
| ~ s_col(Xa,Xb,Xt)
| ~ perp(Xq,Xb,Xa,Xb)
| ~ perp(Xp,Xa,Xa,Xb) ),
file('theBenchmark.p',aSatz8_24) ).
fof(aext1,axiom,
! [Xa,Xb,Xc,Xd] :
( s_col(Xa,Xc,Xd)
| Xa = Xb
| ~ s_col(Xa,Xb,Xd)
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aext1) ).
fof(aExtPerp,axiom,
! [Xa,Xb,Xp,Xq,Xr,Xc,Xd] :
( perpAt(Xa,Xb,Xr,Xc,Xd)
| ~ perpAt(Xp,Xq,Xr,Xc,Xd)
| Xa = Xb
| Xp = Xq
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp) ),
file('theBenchmark.p',aExtPerp) ).
fof(aExtPerp2,axiom,
! [Xa,Xb,Xp,Xq,Xc,Xd] :
( perp(Xa,Xb,Xc,Xd)
| ~ perp(Xp,Xq,Xc,Xd)
| Xa = Xb
| Xp = Xq
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp) ),
file('theBenchmark.p',aExtPerp2) ).
fof(aExtPerp3,axiom,
! [Xa,Xb,Xc,Xd] :
( perp(Xb,Xa,Xa,Xd)
| ~ s_col(Xa,Xc,Xd)
| ~ perp(Xb,Xa,Xa,Xc)
| Xa = Xd
| Xd = Xc
| Xb = Xc
| Xa = Xc
| Xa = Xb ),
file('theBenchmark.p',aExtPerp3) ).
fof(aExtPerp4,axiom,
! [Xa,Xb,Xp,Xq] :
( perp(Xa,Xb,Xq,Xp)
| ~ perp(Xa,Xb,Xp,Xq) ),
file('theBenchmark.p',aExtPerp4) ).
fof(aExtPerp5,axiom,
! [Xa,Xb,Xp,Xq,Xc,Xd] :
( ~ perp(Xa,Xb,Xc,Xd)
| perp(Xp,Xq,Xc,Xd)
| Xa = Xb
| Xp = Xq
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp) ),
file('theBenchmark.p',aExtPerp5) ).
fof(aExtPerp6,axiom,
( ~ perp(xc,xd,xa,xb)
| perp(xc,xd,xp,xq)
| xa = xb
| xp = xq
| ~ s_col(xa,xb,xq)
| ~ s_col(xa,xb,xp) ),
file('theBenchmark.p',aExtPerp6) ).
fof(aExtSameSide1,axiom,
! [Xa,Xb,Xc,Xp,Xq] :
( samesideline(Xp,Xq,Xa,Xc)
| ~ samesideline(Xp,Xq,Xa,Xb)
| Xa = Xc
| Xa = Xb
| ~ s_col(Xa,Xb,Xc) ),
file('theBenchmark.p',aExtSameSide1) ).
fof(aExtSameSide2,axiom,
! [Xa,Xb,Xp,Xq] :
( samesideline(Xp,Xq,Xb,Xa)
| ~ samesideline(Xp,Xq,Xa,Xb)
| Xa = Xb ),
file('theBenchmark.p',aExtSameSide2) ).
fof(aSatz9_2,axiom,
! [Xa,Xp,Xq,Xb] :
( opposite(Xb,Xp,Xq,Xa)
| ~ opposite(Xa,Xp,Xq,Xb) ),
file('theBenchmark.p',aSatz9_2) ).
fof(aSatz9_3a,axiom,
! [Xa,Xp,Xq,Xc,Xm,Xr,Xb] :
( ~ s_t(Xr,Xb,Xa)
| opposite(Xb,Xp,Xq,Xc)
| ~ sameside(Xa,Xr,Xb)
| ~ s_col(Xp,Xq,Xr)
| ~ s_m(Xa,Xm,Xc)
| ~ s_col(Xp,Xq,Xm)
| ~ opposite(Xa,Xp,Xq,Xc) ),
file('theBenchmark.p',aSatz9_3a) ).
fof(aSatz9_3,axiom,
! [Xa,Xp,Xq,Xc,Xm,Xr,Xb] :
( opposite(Xb,Xp,Xq,Xc)
| ~ sameside(Xa,Xr,Xb)
| ~ s_col(Xp,Xq,Xr)
| ~ s_m(Xa,Xm,Xc)
| ~ s_col(Xp,Xq,Xm)
| ~ opposite(Xa,Xp,Xq,Xc) ),
file('theBenchmark.p',aSatz9_3) ).
fof(aSideReflect,axiom,
! [Xa,Xb,Xc,Xm] :
( sameside(s(Xm,Xa),s(Xm,Xb),s(Xm,Xc))
| ~ sameside(Xa,Xb,Xc) ),
file('theBenchmark.p',aSideReflect) ).
fof(aSatz9_4a,axiom,
! [Xa,Xp,Xq,Xc,Xcs,Xr,Xm,U] :
( sameside(s(Xm,U),Xcs,Xc)
| Xr = Xcs
| ~ le(Xcs,Xc,Xr,Xa)
| ~ sameside(U,Xr,Xa)
| ~ s_m(Xr,Xm,Xcs)
| ~ perp(Xp,Xq,Xc,Xcs)
| ~ perp(Xp,Xq,Xa,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xp = Xq
| ~ opposite(Xa,Xp,Xq,Xc) ),
file('theBenchmark.p',aSatz9_4a) ).
fof(aSatz9_4a2,axiom,
! [Xa,Xp,Xq,Xc,Xcs,Xr,Xm,U] :
( ~ sameside(s(Xm,U),Xcs,Xc)
| Xr = Xcs
| ~ le(Xcs,Xc,Xr,Xa)
| sameside(U,Xr,Xa)
| ~ s_m(Xr,Xm,Xcs)
| ~ perp(Xp,Xq,Xc,Xcs)
| ~ perp(Xp,Xq,Xa,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xp = Xq
| ~ opposite(Xa,Xp,Xq,Xc) ),
file('theBenchmark.p',aSatz9_4a2) ).
fof(aSatz9_4b,axiom,
! [Xa,Xp,Xq,Xc,Xcs,Xr,Xm,U] :
( sameside(s(Xm,U),Xcs,Xc)
| Xr != Xcs
| ~ sameside(U,Xr,Xa)
| ~ s_m(Xr,Xm,Xcs)
| ~ perp(Xp,Xq,Xc,Xcs)
| ~ perp(Xp,Xq,Xa,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xp = Xq
| ~ opposite(Xa,Xp,Xq,Xc) ),
file('theBenchmark.p',aSatz9_4b) ).
fof(aSatz9_4,axiom,
! [Xa,Xp,Xq,Xc,Xcs,Xr,Xm,U] :
( sameside(s(Xm,U),Xcs,Xc)
| ~ sameside(U,Xr,Xa)
| ~ s_m(Xr,Xm,Xcs)
| ~ perp(Xp,Xq,Xc,Xcs)
| ~ perp(Xp,Xq,Xa,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xp = Xq
| ~ opposite(Xa,Xp,Xq,Xc) ),
file('theBenchmark.p',aSatz9_4) ).
fof(aSatz9_4c,axiom,
! [Xa,Xp,Xq,Xc,Xcs,Xr,Xm,U,V] :
( opposite(U,Xp,Xq,V)
| ~ sameside(V,Xcs,Xc)
| ~ sameside(U,Xr,Xa)
| ~ s_m(Xr,Xm,Xcs)
| ~ perp(Xp,Xq,Xc,Xcs)
| ~ perp(Xp,Xq,Xa,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xp = Xq
| ~ opposite(Xa,Xp,Xq,Xc) ),
file('theBenchmark.p',aSatz9_4c) ).
fof(aSatz9_5,axiom,
! [Xa,Xp,Xq,Xc,Xr,Xb] :
( opposite(Xb,Xp,Xq,Xc)
| ~ sameside(Xa,Xr,Xb)
| ~ s_col(Xp,Xq,Xr)
| ~ opposite(Xa,Xp,Xq,Xc) ),
file('theBenchmark.p',aSatz9_5) ).
fof(aSatz9_6,axiom,
! [Xa,Xc,Xp,Xb,Xq] :
( ( s_t(Xp,Xq,op(Xq,Xb,Xp,Xc,Xa))
| ~ s_t(Xb,Xq,Xc)
| ~ s_t(Xa,Xc,Xp) )
& ( s_t(Xa,op(Xq,Xb,Xp,Xc,Xa),Xb)
| ~ s_t(Xb,Xq,Xc)
| ~ s_t(Xa,Xc,Xp) ) ),
file('theBenchmark.p',aSatz9_6) ).
fof(aSatz9_8,axiom,
! [Xa,Xp,Xq,Xc,Xb] :
( ~ samesideline(Xa,Xb,Xp,Xq)
| opposite(Xb,Xp,Xq,Xc)
| ~ opposite(Xa,Xp,Xq,Xc) ),
file('theBenchmark.p',aSatz9_8) ).
fof(aSatz9_9,axiom,
! [Xa,Xp,Xq,Xb] :
( ~ samesideline(Xa,Xb,Xp,Xq)
| ~ opposite(Xa,Xp,Xq,Xb) ),
file('theBenchmark.p',aSatz9_9) ).
fof(aSatz9_13,axiom,
! [Xp,Xq,Xa,Xb,Xc] :
( samesideline(Xa,Xc,Xp,Xq)
| ~ samesideline(Xb,Xc,Xp,Xq)
| ~ samesideline(Xa,Xb,Xp,Xq)
| Xp = Xq ),
file('theBenchmark.p',aSatz9_13) ).
fof(aLemma9_13a,axiom,
! [Xp,Xq,Xa,Xb] :
( samesideline(Xp,Xq,Xb,Xa)
| ~ samesideline(Xp,Xq,Xa,Xb) ),
file('theBenchmark.p',aLemma9_13a) ).
fof(aLemma9_13b,axiom,
! [Xa,Xb,U,V,W] :
( s_col(Xa,Xb,V)
| ~ s_col(Xa,Xb,W)
| ~ s_col(Xa,Xb,U)
| ~ s_m(U,V,W)
| Xa = Xb ),
file('theBenchmark.p',aLemma9_13b) ).
fof(aLemma9_13c,axiom,
! [Xd,Xe,Xd1,Xa,Xb] :
( samesideline(Xa,Xb,Xd,Xe)
| ~ samesideline(Xa,Xb,Xd1,Xe)
| ~ s_t(Xe,Xd,Xd1)
| Xd = Xe ),
file('theBenchmark.p',aLemma9_13c) ).
fof(aLemma9_13d,axiom,
! [Xa,Xb,Xp,Xq] :
( samesideline(Xq,Xp,Xa,Xb)
| ~ samesideline(Xp,Xq,Xa,Xb)
| Xa = Xb ),
file('theBenchmark.p',aLemma9_13d) ).
fof(aLemma9_13e,axiom,
! [Xa,Xp,Xq,Xb,Xc] :
( opposite(Xa,Xp,Xq,Xc)
| ~ samesideline(Xb,Xc,Xp,Xq)
| ~ opposite(Xa,Xp,Xq,Xb) ),
file('theBenchmark.p',aLemma9_13e) ).
fof(aLemma9_13g,axiom,
! [Xp,Xq,Xc,Xa,Xb] :
( s_col(Xc,Xa,Xb)
| Xa = Xc
| ~ perpAt(Xp,Xq,Xc,Xb,Xc)
| ~ perpAt(Xp,Xq,Xc,Xa,Xc)
| Xp = Xq ),
file('theBenchmark.p',aLemma9_13g) ).
fof(aLemma9_13f_case1,axiom,
! [Xp,Xq,Xr,Xcs] :
( Xp != foot(Xp,Xq,Xr)
| opposite(Xr,Xp,Xq,Xcs)
| samesideline(Xr,Xcs,Xp,Xq)
| s_col(Xp,Xq,Xcs)
| s_col(Xp,Xq,Xr)
| Xp = Xq ),
file('theBenchmark.p',aLemma9_13f_case1) ).
fof(aLemma9_13f_case2,axiom,
! [Xp,Xq,Xr,Xcs] :
( Xp = foot(Xp,Xq,Xr)
| opposite(Xr,Xp,Xq,Xcs)
| samesideline(Xr,Xcs,Xp,Xq)
| s_col(Xp,Xq,Xcs)
| s_col(Xp,Xq,Xr)
| Xp = Xq ),
file('theBenchmark.p',aLemma9_13f_case2) ).
fof(aLemma9_13f,axiom,
! [Xp,Xq,Xr,Xcs] :
( opposite(Xr,Xp,Xq,Xcs)
| samesideline(Xr,Xcs,Xp,Xq)
| s_col(Xp,Xq,Xcs)
| s_col(Xp,Xq,Xr)
| Xp = Xq ),
file('theBenchmark.p',aLemma9_13f) ).
fof(aSatz9_16,axiom,
! [Xa,Xb,Xp,Xq,Xr] :
( samesideline(Xr,Xb,Xp,Xq)
| ~ sameside(Xa,Xq,Xr)
| ~ samesideline(Xa,Xb,Xp,Xq) ),
file('theBenchmark.p',aSatz9_16) ).
fof(aSatz9_19b,axiom,
! [Xc,Xd,Xp,Xa,Xb] :
( samesideline(Xa,Xb,Xc,Xd)
| s_col(Xc,Xd,Xa)
| ~ sameside(Xa,Xp,Xb)
| ~ s_col(Xa,Xb,Xp)
| ~ s_col(Xc,Xd,Xp)
| Xc = Xd ),
file('theBenchmark.p',aSatz9_19b) ).
fof(aSatz10_2a,axiom,
! [Xa,Xb,Xp] :
( ( perp(Xa,Xb,Xp,reflect(Xa,Xb,Xp))
| Xp = reflect(Xa,Xb,Xp)
| Xa = Xb )
& ( s_col(Xa,Xb,midpoint(Xp,reflect(Xa,Xb,Xp)))
| Xa = Xb ) ),
file('theBenchmark.p',aSatz10_2a) ).
fof(aSatz10_2b,axiom,
! [Xa,Xb,Xp,Xp1] :
( ( Xp1 = reflect(Xa,Xb,Xp)
| Xp != Xp1
| ~ s_col(Xa,Xb,midpoint(Xp,Xp1))
| Xa = Xb )
& ( Xp1 = reflect(Xa,Xb,Xp)
| ~ perp(Xa,Xb,Xp,Xp1)
| ~ s_col(Xa,Xb,midpoint(Xp,Xp1))
| Xa = Xb ) ),
file('theBenchmark.p',aSatz10_2b) ).
fof(aSatz10_4,axiom,
! [Xa,Xb,Xp,Xp1] :
( reflect(Xa,Xb,Xp1) = Xp
| reflect(Xa,Xb,Xp) != Xp1
| Xa = Xb ),
file('theBenchmark.p',aSatz10_4) ).
fof(aSatz10_5,axiom,
! [Xa,Xb,Xp] :
( reflect(Xa,Xb,reflect(Xa,Xb,Xp)) = Xp
| Xa = Xb ),
file('theBenchmark.p',aSatz10_5) ).
fof(aSatz10_6,axiom,
! [Xa,Xb,Xp,Xp1] :
( Xp = reflect(Xa,Xb,Xp1)
| reflect(Xa,Xb,Xp) != Xp1
| Xa = Xb ),
file('theBenchmark.p',aSatz10_6) ).
fof(aSatz10_7,conjecture,
! [Xa,Xb,Xp,Xq] :
( Xp = Xq
| reflect(Xa,Xb,Xp) != reflect(Xa,Xb,Xq)
| Xa = Xb ),
file('theBenchmark.p',aSatz10_7) ).
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(d_Defn8_1,axiom,
! [Xa,Xb,Xc] :
( ( ~ s_e(Xa,Xc,Xa,s(Xb,Xc))
| s_r(Xa,Xb,Xc) )
& ( s_e(Xa,Xc,Xa,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ) ),
file('theBenchmark.p',d_Defn8_1) ).
fof(d_Defn8_11a,axiom,
! [Y,Z,X,Y1,Z1,U,V] :
( ( ~ s_r(f811(Y,Z,Y1,Z1,X),X,g811(Y,Z,Y1,Z1,X))
| ~ s_col(Y1,Z1,X)
| ~ s_col(Y,Z,X)
| Y1 = Z1
| Y = Z
| perpAt(Y,Z,X,Y1,Z1) )
& ( s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X))
| ~ s_col(Y1,Z1,X)
| ~ s_col(Y,Z,X)
| Y1 = Z1
| Y = Z
| perpAt(Y,Z,X,Y1,Z1) )
& ( s_col(Y,Z,f811(Y,Z,Y1,Z1,X))
| ~ s_col(Y1,Z1,X)
| ~ s_col(Y,Z,X)
| Y1 = Z1
| Y = Z
| perpAt(Y,Z,X,Y1,Z1) )
& ( s_r(U,X,V)
| ~ s_col(Y1,Z1,V)
| ~ s_col(Y,Z,U)
| ~ perpAt(Y,Z,X,Y1,Z1) )
& ( Y1 != Z1
| ~ perpAt(Y,Z,X,Y1,Z1) )
& ( Y != Z
| ~ perpAt(Y,Z,X,Y1,Z1) )
& ( s_col(Y1,Z1,X)
| ~ perpAt(Y,Z,X,Y1,Z1) )
& ( s_col(Y,Z,X)
| ~ perpAt(Y,Z,X,Y1,Z1) ) ),
file('theBenchmark.p',d_Defn8_11a) ).
fof(d_Defn8_11b,axiom,
! [Xp,Xq,Xp1,Xq1,X] :
( ( ~ perpAt(Xp,Xq,X,Xp1,Xq1)
| perp(Xp,Xq,Xp1,Xq1) )
& ( perpAt(Xp,Xq,il(Xp,Xq,Xp1,Xq1),Xp1,Xq1)
| ~ perp(Xp,Xq,Xp1,Xq1) ) ),
file('theBenchmark.p',d_Defn8_11b) ).
fof(d_Defn9_1,axiom,
! [Xp,Xq,Xa,Xb,Xt] :
( ( s_col(Xp,Xq,il(Xa,Xb,Xp,Xq))
| ~ opposite(Xa,Xp,Xq,Xb) )
& ( s_t(Xa,il(Xa,Xb,Xp,Xq),Xb)
| ~ opposite(Xa,Xp,Xq,Xb) )
& ( ~ s_col(Xp,Xq,Xb)
| ~ opposite(Xa,Xp,Xq,Xb) )
& ( ~ s_col(Xp,Xq,Xa)
| ~ opposite(Xa,Xp,Xq,Xb) )
& ( opposite(Xa,Xp,Xq,Xb)
| ~ s_col(Xp,Xq,Xt)
| ~ s_t(Xa,Xt,Xb)
| s_col(Xp,Xq,Xb)
| s_col(Xp,Xq,Xa)
| Xp = Xq ) ),
file('theBenchmark.p',d_Defn9_1) ).
fof(d_Defn9_7,axiom,
! [Xa,Xb,Xp,Xq,Xu,Xc,Xv] :
( ( samesideline(Xa,Xb,Xp,Xq)
| s_col(Xp,Xq,Xb)
| s_col(Xp,Xq,Xa)
| Xb = Xv
| Xa = Xu
| Xc = Xv
| Xc = Xu
| Xp = Xq
| ~ s_col(Xp,Xq,Xv)
| ~ s_col(Xp,Xq,Xu)
| ~ s_t(Xb,Xv,Xc)
| ~ s_t(Xa,Xu,Xc) )
& ( ~ s_col(Xp,Xq,Xb)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( ~ s_col(Xp,Xq,Xa)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( Xp != Xq
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( ss3(Xa,Xb,Xp,Xq) != ss2(Xa,Xb,Xp,Xq)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( ss3(Xa,Xb,Xp,Xq) != ss1(Xa,Xb,Xp,Xq)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( Xb != ss2(Xa,Xb,Xp,Xq)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( Xa != ss1(Xa,Xb,Xp,Xq)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( s_t(Xb,ss2(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq))
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( s_t(Xa,ss1(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq))
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( s_col(Xp,Xq,ss2(Xa,Xb,Xp,Xq))
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( s_col(Xp,Xq,ss1(Xa,Xb,Xp,Xq))
| ~ samesideline(Xa,Xb,Xp,Xq) ) ),
file('theBenchmark.p',d_Defn9_7) ).
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_1,U_0] : 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_6,U_4,U_5,U_2,U_3,U_7] :
( 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_9,U_8] :
( ~ 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_20,U_18,U_16,U_22] : s_e(U_20,ext(U_22,U_20,U_18,U_16),U_18,U_16)
& ! [U_21,U_15,U_17,U_19] : 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_24,U_25,U_27,U_28,U_29,U_26,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(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_40,U_46,U_44,U_42,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(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_53,U_50] :
( 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_64,U_67,U_65,U_66] :
( 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_68,U_69] : 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_72,U_73,U_74,U_75,U_70,U_71] :
( 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_85,U_87,U_86,U_84] :
( 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_89,U_88,U_92,U_93,U_90,U_91] :
( 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_97,U_96,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_116,U_117] :
( 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_124,U_126,U_127,U_125] :
( 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_147,U_139,U_141,U_143,U_149,U_145] :
( 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_144,U_138,U_142,U_140,U_146] :
( 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_155,U_156,U_150,U_153,U_154,U_157,U_151,U_152] :
( 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_159,U_160,U_158,U_161,U_163,U_162] :
( ~ 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_172,U_178,U_170,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_181,U_179,U_183,U_182,U_184] :
( 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_189,U_190,U_188] :
( 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_192,U_193,U_191] :
( 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_212,U_213,U_210,U_214,U_211] :
( 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_218,U_219,U_216,U_222,U_221,U_215,U_217,U_220] :
( 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_223,U_224] :
( 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_237,U_238,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(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_241,U_242,U_243,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(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_246,U_247,U_244,U_245] :
( 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_270,U_272,U_269,U_271,U_273,U_274,U_275,U_276] :
( 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_280,U_281,U_279,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_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(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_292,U_290,U_289] :
( 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_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(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_310,U_311,U_308,U_309] :
( ~ 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_312,U_313,U_314,U_315] :
( 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_328,U_323,U_333] :
( s_t(U_323,U_328,c63(U_333,U_328,U_323))
| ~ sameside(U_333,U_328,U_323) )
& ! [U_327,U_332,U_322] :
( s_t(U_332,U_327,c63(U_332,U_327,U_322))
| ~ sameside(U_332,U_327,U_322) )
& ! [U_326,U_331,U_321] :
( c63(U_331,U_326,U_321) != U_326
| ~ sameside(U_331,U_326,U_321) )
& ! [U_320,U_325,U_330] :
( 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(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_336,U_337,U_334,U_335] :
( ~ 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_342,U_344] :
( ~ s_t(U_346,U_344,U_342)
| ~ sameside(U_346,U_344,U_342) )
& ! [U_345,U_341,U_343] :
( 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_348,U_349,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(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_350,U_351] :
( 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_354,U_352,U_353] :
( 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_364,U_366,U_370,U_368] :
( 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_365,U_367,U_369] :
( 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_376,U_374,U_371,U_372,U_375,U_373] :
( 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_390,U_388] :
( ~ 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_391,U_393,U_394,U_392] :
( 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_397,U_395,U_396] :
( ~ 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_399,U_401,U_402,U_400] :
( 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_405,U_404,U_406] :
( 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_409,U_411,U_410] :
( 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_423,U_422,U_419,U_420,U_417,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_431,U_430,U_426,U_427,U_429,U_428] :
( 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_432,U_433,U_434] :
( 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_439,U_440] : 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_466,U_467,U_464,U_465] :
( 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_474,U_475,U_476,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(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_477,U_478,U_479,U_480,U_481] :
( ~ 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_497,U_498,U_499,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_506,U_505,U_504,U_502,U_503,U_500,U_501] :
( ~ 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_511,U_507,U_508,U_513,U_512,U_509,U_510] :
( ~ 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,plain,
! [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)],[aSatz7_22]) ).
fof(f_116_2,plain,
! [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_1]) ).
fof(f_116_3,plain,
! [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_2]) ).
fof(f_116_4,plain,
! [U_514,U_515,U_516,U_517,U_518,U_519,U_520] :
( 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(definitional_conversion,[status(esa)],[f_116_3]) ).
cnf(f_116_5,plain,
( 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(clausify,[status(thm)],[f_116_4]) ).
fof(f_117_1,plain,
! [Xc,Xa,Xb] :
( s_m(Xa,isomidpoint(Xa,Xb,Xc),Xb)
| ~ s_e(Xc,Xa,Xc,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz7_25]) ).
fof(f_117_2,plain,
! [U_523,U_522,U_521] :
( s_m(U_522,isomidpoint(U_522,U_521,U_523),U_521)
| ~ s_e(U_523,U_522,U_523,U_521) ),
inference(variable_rename,[status(thm)],[f_117_1]) ).
fof(f_117_3,plain,
! [U_522,U_523,U_521] :
( s_m(U_522,isomidpoint(U_522,U_521,U_523),U_521)
| ~ s_e(U_523,U_522,U_523,U_521) ),
inference(definitional_conversion,[status(esa)],[f_117_2]) ).
cnf(f_117_4,plain,
( s_m(U_522,isomidpoint(U_522,U_521,U_523),U_521)
| ~ s_e(U_523,U_522,U_523,U_521) ),
inference(clausify,[status(thm)],[f_117_3]) ).
fof(f_118_1,plain,
! [Xa,Xb,Xc] :
( s_r(Xc,Xb,Xa)
| ~ s_r(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz8_2]) ).
fof(f_118_2,plain,
! [U_526,U_525,U_524] :
( s_r(U_524,U_525,U_526)
| ~ s_r(U_526,U_525,U_524) ),
inference(variable_rename,[status(thm)],[f_118_1]) ).
fof(f_118_3,plain,
! [U_524,U_525,U_526] :
( s_r(U_524,U_525,U_526)
| ~ s_r(U_526,U_525,U_524) ),
inference(definitional_conversion,[status(esa)],[f_118_2]) ).
cnf(f_118_4,plain,
( s_r(U_524,U_525,U_526)
| ~ s_r(U_526,U_525,U_524) ),
inference(clausify,[status(thm)],[f_118_3]) ).
fof(f_119_1,plain,
! [Xa,Xb,Xc,Xa1] :
( s_r(Xa1,Xb,Xc)
| ~ s_col(Xb,Xa,Xa1)
| Xa = Xb
| ~ s_r(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz8_3]) ).
fof(f_119_2,plain,
! [U_530,U_529,U_528,U_527] :
( s_r(U_527,U_529,U_528)
| ~ s_col(U_529,U_530,U_527)
| U_530 = U_529
| ~ s_r(U_530,U_529,U_528) ),
inference(variable_rename,[status(thm)],[f_119_1]) ).
fof(f_119_3,plain,
! [U_530,U_529] :
( ! [U_528] :
( ! [U_527] :
( s_r(U_527,U_529,U_528)
| ~ s_col(U_529,U_530,U_527) )
| ~ s_r(U_530,U_529,U_528) )
| U_530 = U_529 ),
inference(miniscope,[status(thm)],[f_119_2]) ).
fof(f_119_4,plain,
! [U_527,U_528,U_529,U_530] :
( s_r(U_527,U_529,U_528)
| ~ s_col(U_529,U_530,U_527)
| ~ s_r(U_530,U_529,U_528)
| U_530 = U_529 ),
inference(definitional_conversion,[status(esa)],[f_119_3]) ).
cnf(f_119_5,plain,
( s_r(U_527,U_529,U_528)
| ~ s_col(U_529,U_530,U_527)
| ~ s_r(U_530,U_529,U_528)
| U_530 = U_529 ),
inference(clausify,[status(thm)],[f_119_4]) ).
fof(f_120_1,plain,
! [Xa,Xb,Xc] :
( s_r(Xa,Xb,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz8_4]) ).
fof(f_120_2,plain,
! [U_533,U_532,U_531] :
( s_r(U_533,U_532,s(U_532,U_531))
| ~ s_r(U_533,U_532,U_531) ),
inference(variable_rename,[status(thm)],[f_120_1]) ).
fof(f_120_3,plain,
! [U_531,U_532,U_533] :
( s_r(U_533,U_532,s(U_532,U_531))
| ~ s_r(U_533,U_532,U_531) ),
inference(definitional_conversion,[status(esa)],[f_120_2]) ).
cnf(f_120_4,plain,
( s_r(U_533,U_532,s(U_532,U_531))
| ~ s_r(U_533,U_532,U_531) ),
inference(clausify,[status(thm)],[f_120_3]) ).
fof(f_121_1,plain,
! [Xa,Xb] : s_r(Xa,Xb,Xb),
inference(fof_nnf,[status(thm)],[aSatz8_5]) ).
fof(f_121_2,plain,
! [U_535,U_534] : s_r(U_535,U_534,U_534),
inference(variable_rename,[status(thm)],[f_121_1]) ).
fof(f_121_3,plain,
! [U_534,U_535] : s_r(U_535,U_534,U_534),
inference(definitional_conversion,[status(esa)],[f_121_2]) ).
cnf(f_121_4,plain,
s_r(U_535,U_534,U_534),
inference(clausify,[status(thm)],[f_121_3]) ).
fof(f_122_1,plain,
! [Xa,Xb,Xc,Xa1] :
( Xb = Xc
| ~ s_t(Xa,Xc,Xa1)
| ~ s_r(Xa1,Xb,Xc)
| ~ s_r(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz8_6]) ).
fof(f_122_2,plain,
! [U_539,U_538,U_537,U_536] :
( U_538 = U_537
| ~ s_t(U_539,U_537,U_536)
| ~ s_r(U_536,U_538,U_537)
| ~ s_r(U_539,U_538,U_537) ),
inference(variable_rename,[status(thm)],[f_122_1]) ).
fof(f_122_3,plain,
! [U_539,U_538,U_537] :
( ! [U_536] :
( ~ s_t(U_539,U_537,U_536)
| ~ s_r(U_536,U_538,U_537) )
| U_538 = U_537
| ~ s_r(U_539,U_538,U_537) ),
inference(miniscope,[status(thm)],[f_122_2]) ).
fof(f_122_4,plain,
! [U_537,U_536,U_538,U_539] :
( ~ s_t(U_539,U_537,U_536)
| ~ s_r(U_536,U_538,U_537)
| U_538 = U_537
| ~ s_r(U_539,U_538,U_537) ),
inference(definitional_conversion,[status(esa)],[f_122_3]) ).
cnf(f_122_5,plain,
( ~ s_t(U_539,U_537,U_536)
| ~ s_r(U_536,U_538,U_537)
| U_538 = U_537
| ~ s_r(U_539,U_538,U_537) ),
inference(clausify,[status(thm)],[f_122_4]) ).
fof(f_123_1,plain,
! [Xa,Xb,Xc] :
( Xb = Xc
| ~ s_r(Xa,Xc,Xb)
| ~ s_r(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz8_7]) ).
fof(f_123_2,plain,
! [U_542,U_541,U_540] :
( U_541 = U_540
| ~ s_r(U_542,U_540,U_541)
| ~ s_r(U_542,U_541,U_540) ),
inference(variable_rename,[status(thm)],[f_123_1]) ).
fof(f_123_3,plain,
! [U_542,U_541,U_540] :
( U_541 = U_540
| ~ s_r(U_542,U_540,U_541)
| ~ s_r(U_542,U_541,U_540) ),
inference(definitional_conversion,[status(esa)],[f_123_2]) ).
cnf(f_123_4,plain,
( U_541 = U_540
| ~ s_r(U_542,U_540,U_541)
| ~ s_r(U_542,U_541,U_540) ),
inference(clausify,[status(thm)],[f_123_3]) ).
fof(f_124_1,plain,
! [Xa,Xb] :
( Xa = Xb
| ~ s_r(Xa,Xb,Xa) ),
inference(fof_nnf,[status(thm)],[aSatz8_8]) ).
fof(f_124_2,plain,
! [U_544,U_543] :
( U_544 = U_543
| ~ s_r(U_544,U_543,U_544) ),
inference(variable_rename,[status(thm)],[f_124_1]) ).
fof(f_124_3,plain,
! [U_544,U_543] :
( U_544 = U_543
| ~ s_r(U_544,U_543,U_544) ),
inference(definitional_conversion,[status(esa)],[f_124_2]) ).
cnf(f_124_4,plain,
( U_544 = U_543
| ~ s_r(U_544,U_543,U_544) ),
inference(clausify,[status(thm)],[f_124_3]) ).
fof(f_125_1,plain,
! [Xa,Xb,Xc] :
( Xc = Xb
| Xa = Xb
| ~ s_col(Xa,Xb,Xc)
| ~ s_r(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz8_9]) ).
fof(f_125_2,plain,
! [U_547,U_546,U_545] :
( U_545 = U_546
| U_547 = U_546
| ~ s_col(U_547,U_546,U_545)
| ~ s_r(U_547,U_546,U_545) ),
inference(variable_rename,[status(thm)],[f_125_1]) ).
fof(f_125_3,plain,
! [U_547,U_546] :
( ! [U_545] :
( U_545 = U_546
| ~ s_col(U_547,U_546,U_545)
| ~ s_r(U_547,U_546,U_545) )
| U_547 = U_546 ),
inference(miniscope,[status(thm)],[f_125_2]) ).
fof(f_125_4,plain,
! [U_545,U_546,U_547] :
( U_545 = U_546
| ~ s_col(U_547,U_546,U_545)
| ~ s_r(U_547,U_546,U_545)
| U_547 = U_546 ),
inference(definitional_conversion,[status(esa)],[f_125_3]) ).
cnf(f_125_5,plain,
( U_545 = U_546
| ~ s_col(U_547,U_546,U_545)
| ~ s_r(U_547,U_546,U_545)
| U_547 = U_546 ),
inference(clausify,[status(thm)],[f_125_4]) ).
fof(f_126_1,plain,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_r(Xa1,Xb1,Xc1)
| ~ s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_r(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz8_10]) ).
fof(f_126_2,plain,
! [U_553,U_552,U_551,U_550,U_549,U_548] :
( s_r(U_550,U_549,U_548)
| ~ s_e3(U_553,U_552,U_551,U_550,U_549,U_548)
| ~ s_r(U_553,U_552,U_551) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
fof(f_126_3,plain,
! [U_553,U_552,U_551] :
( ! [U_550,U_549,U_548] :
( s_r(U_550,U_549,U_548)
| ~ s_e3(U_553,U_552,U_551,U_550,U_549,U_548) )
| ~ s_r(U_553,U_552,U_551) ),
inference(miniscope,[status(thm)],[f_126_2]) ).
fof(f_126_4,plain,
! [U_549,U_548,U_550,U_551,U_552,U_553] :
( s_r(U_550,U_549,U_548)
| ~ s_e3(U_553,U_552,U_551,U_550,U_549,U_548)
| ~ s_r(U_553,U_552,U_551) ),
inference(definitional_conversion,[status(esa)],[f_126_3]) ).
cnf(f_126_5,plain,
( s_r(U_550,U_549,U_548)
| ~ s_e3(U_553,U_552,U_551,U_550,U_549,U_548)
| ~ s_r(U_553,U_552,U_551) ),
inference(clausify,[status(thm)],[f_126_4]) ).
fof(f_127_1,plain,
! [Xa,Xb,Xc,Xp,Xq] :
( perpAt(Xp,Xq,Xc,Xa,Xb)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) ),
inference(fof_nnf,[status(thm)],[aSatz8_12a]) ).
fof(f_127_2,plain,
! [U_558,U_557,U_556,U_555,U_554] :
( perpAt(U_555,U_554,U_556,U_558,U_557)
| ~ perpAt(U_558,U_557,U_556,U_555,U_554) ),
inference(variable_rename,[status(thm)],[f_127_1]) ).
fof(f_127_3,plain,
! [U_555,U_556,U_554,U_557,U_558] :
( perpAt(U_555,U_554,U_556,U_558,U_557)
| ~ perpAt(U_558,U_557,U_556,U_555,U_554) ),
inference(definitional_conversion,[status(esa)],[f_127_2]) ).
cnf(f_127_4,plain,
( perpAt(U_555,U_554,U_556,U_558,U_557)
| ~ perpAt(U_558,U_557,U_556,U_555,U_554) ),
inference(clausify,[status(thm)],[f_127_3]) ).
fof(f_128_1,plain,
! [Xa,Xb,Xp,Xq] :
( perp(Xp,Xq,Xa,Xb)
| ~ perp(Xa,Xb,Xp,Xq) ),
inference(fof_nnf,[status(thm)],[aSatz8_12b]) ).
fof(f_128_2,plain,
! [U_562,U_561,U_560,U_559] :
( perp(U_560,U_559,U_562,U_561)
| ~ perp(U_562,U_561,U_560,U_559) ),
inference(variable_rename,[status(thm)],[f_128_1]) ).
fof(f_128_3,plain,
! [U_562,U_561,U_559,U_560] :
( perp(U_560,U_559,U_562,U_561)
| ~ perp(U_562,U_561,U_560,U_559) ),
inference(definitional_conversion,[status(esa)],[f_128_2]) ).
cnf(f_128_4,plain,
( perp(U_560,U_559,U_562,U_561)
| ~ perp(U_562,U_561,U_560,U_559) ),
inference(clausify,[status(thm)],[f_128_3]) ).
fof(f_129_1,plain,
! [Xa,Xb,Xc,Xp,Xq] :
( ( s_r(f813(Xa,Xb,Xp,Xq,Xc),Xc,g813(Xa,Xb,Xp,Xq,Xc))
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( Xc != g813(Xa,Xb,Xp,Xq,Xc)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( Xc != f813(Xa,Xb,Xp,Xq,Xc)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( s_col(Xp,Xq,g813(Xa,Xb,Xp,Xq,Xc))
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( s_col(Xa,Xb,f813(Xa,Xb,Xp,Xq,Xc))
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( s_col(Xa,Xb,Xc)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( s_col(Xp,Xq,Xc)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( Xp != Xq
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) )
& ( Xa != Xb
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) ) ),
inference(fof_nnf,[status(thm)],[aSatz8_13a]) ).
fof(f_129_2,plain,
! [U_567,U_566,U_565,U_564,U_563] :
( ( s_r(f813(U_567,U_566,U_564,U_563,U_565),U_565,g813(U_567,U_566,U_564,U_563,U_565))
| ~ perpAt(U_567,U_566,U_565,U_564,U_563) )
& ( U_565 != g813(U_567,U_566,U_564,U_563,U_565)
| ~ perpAt(U_567,U_566,U_565,U_564,U_563) )
& ( U_565 != f813(U_567,U_566,U_564,U_563,U_565)
| ~ perpAt(U_567,U_566,U_565,U_564,U_563) )
& ( s_col(U_564,U_563,g813(U_567,U_566,U_564,U_563,U_565))
| ~ perpAt(U_567,U_566,U_565,U_564,U_563) )
& ( s_col(U_567,U_566,f813(U_567,U_566,U_564,U_563,U_565))
| ~ perpAt(U_567,U_566,U_565,U_564,U_563) )
& ( s_col(U_567,U_566,U_565)
| ~ perpAt(U_567,U_566,U_565,U_564,U_563) )
& ( s_col(U_564,U_563,U_565)
| ~ perpAt(U_567,U_566,U_565,U_564,U_563) )
& ( U_564 != U_563
| ~ perpAt(U_567,U_566,U_565,U_564,U_563) )
& ( U_567 != U_566
| ~ perpAt(U_567,U_566,U_565,U_564,U_563) ) ),
inference(variable_rename,[status(thm)],[f_129_1]) ).
fof(f_129_3,plain,
( ! [U_612,U_603,U_594,U_585,U_576] :
( s_r(f813(U_612,U_603,U_585,U_576,U_594),U_594,g813(U_612,U_603,U_585,U_576,U_594))
| ~ perpAt(U_612,U_603,U_594,U_585,U_576) )
& ! [U_611,U_602,U_593,U_584,U_575] :
( U_593 != g813(U_611,U_602,U_584,U_575,U_593)
| ~ perpAt(U_611,U_602,U_593,U_584,U_575) )
& ! [U_610,U_601,U_592,U_583,U_574] :
( U_592 != f813(U_610,U_601,U_583,U_574,U_592)
| ~ perpAt(U_610,U_601,U_592,U_583,U_574) )
& ! [U_609,U_600,U_591,U_582,U_573] :
( s_col(U_582,U_573,g813(U_609,U_600,U_582,U_573,U_591))
| ~ perpAt(U_609,U_600,U_591,U_582,U_573) )
& ! [U_608,U_599,U_590,U_581,U_572] :
( s_col(U_608,U_599,f813(U_608,U_599,U_581,U_572,U_590))
| ~ perpAt(U_608,U_599,U_590,U_581,U_572) )
& ! [U_607,U_598,U_589] :
( ! [U_580,U_571] : ~ perpAt(U_607,U_598,U_589,U_580,U_571)
| s_col(U_607,U_598,U_589) )
& ! [U_606,U_597,U_588,U_579,U_570] :
( s_col(U_579,U_570,U_588)
| ~ perpAt(U_606,U_597,U_588,U_579,U_570) )
& ! [U_605,U_596,U_587,U_578,U_569] :
( U_578 != U_569
| ~ perpAt(U_605,U_596,U_587,U_578,U_569) )
& ! [U_604,U_595] :
( ! [U_586,U_577,U_568] : ~ perpAt(U_604,U_595,U_586,U_577,U_568)
| U_604 != U_595 ) ),
inference(miniscope,[status(thm)],[f_129_2]) ).
fof(f_129_4,plain,
( ! [U_576,U_603,U_585,U_594,U_612] :
( s_r(f813(U_612,U_603,U_585,U_576,U_594),U_594,g813(U_612,U_603,U_585,U_576,U_594))
| ~ perpAt(U_612,U_603,U_594,U_585,U_576) )
& ! [U_584,U_575,U_602,U_593,U_611] :
( U_593 != g813(U_611,U_602,U_584,U_575,U_593)
| ~ perpAt(U_611,U_602,U_593,U_584,U_575) )
& ! [U_583,U_592,U_574,U_601,U_610] :
( U_592 != f813(U_610,U_601,U_583,U_574,U_592)
| ~ perpAt(U_610,U_601,U_592,U_583,U_574) )
& ! [U_582,U_573,U_600,U_609,U_591] :
( s_col(U_582,U_573,g813(U_609,U_600,U_582,U_573,U_591))
| ~ perpAt(U_609,U_600,U_591,U_582,U_573) )
& ! [U_590,U_581,U_608,U_572,U_599] :
( s_col(U_608,U_599,f813(U_608,U_599,U_581,U_572,U_590))
| ~ perpAt(U_608,U_599,U_590,U_581,U_572) )
& ! [U_580,U_589,U_598,U_607,U_571] :
( ~ perpAt(U_607,U_598,U_589,U_580,U_571)
| s_col(U_607,U_598,U_589) )
& ! [U_579,U_588,U_570,U_606,U_597] :
( s_col(U_579,U_570,U_588)
| ~ perpAt(U_606,U_597,U_588,U_579,U_570) )
& ! [U_605,U_596,U_578,U_587,U_569] :
( U_578 != U_569
| ~ perpAt(U_605,U_596,U_587,U_578,U_569) )
& ! [U_586,U_577,U_568,U_595,U_604] :
( ~ perpAt(U_604,U_595,U_586,U_577,U_568)
| U_604 != U_595 ) ),
inference(definitional_conversion,[status(esa)],[f_129_3]) ).
cnf(f_129_5,plain,
( ~ perpAt(U_604,U_595,U_586,U_577,U_568)
| U_604 != U_595 ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_6,plain,
( U_578 != U_569
| ~ perpAt(U_605,U_596,U_587,U_578,U_569) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_7,plain,
( s_col(U_579,U_570,U_588)
| ~ perpAt(U_606,U_597,U_588,U_579,U_570) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_8,plain,
( ~ perpAt(U_607,U_598,U_589,U_580,U_571)
| s_col(U_607,U_598,U_589) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_9,plain,
( s_col(U_608,U_599,f813(U_608,U_599,U_581,U_572,U_590))
| ~ perpAt(U_608,U_599,U_590,U_581,U_572) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_10,plain,
( s_col(U_582,U_573,g813(U_609,U_600,U_582,U_573,U_591))
| ~ perpAt(U_609,U_600,U_591,U_582,U_573) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_11,plain,
( U_592 != f813(U_610,U_601,U_583,U_574,U_592)
| ~ perpAt(U_610,U_601,U_592,U_583,U_574) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_12,plain,
( U_593 != g813(U_611,U_602,U_584,U_575,U_593)
| ~ perpAt(U_611,U_602,U_593,U_584,U_575) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_13,plain,
( s_r(f813(U_612,U_603,U_585,U_576,U_594),U_594,g813(U_612,U_603,U_585,U_576,U_594))
| ~ perpAt(U_612,U_603,U_594,U_585,U_576) ),
inference(clausify,[status(thm)],[f_129_4]) ).
fof(f_130_1,plain,
! [Xa,Xb,Xp,Xq,Xcx,U,V] :
( perpAt(Xa,Xb,Xcx,Xp,Xq)
| ~ s_r(U,Xcx,V)
| Xcx = V
| Xcx = U
| ~ s_col(Xp,Xq,V)
| ~ s_col(Xa,Xb,U)
| ~ s_col(Xa,Xb,Xcx)
| ~ s_col(Xp,Xq,Xcx)
| Xp = Xq
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz8_13b]) ).
fof(f_130_2,plain,
! [U_619,U_618,U_617,U_616,U_615,U_614,U_613] :
( perpAt(U_619,U_618,U_615,U_617,U_616)
| ~ s_r(U_614,U_615,U_613)
| U_615 = U_613
| U_615 = U_614
| ~ s_col(U_617,U_616,U_613)
| ~ s_col(U_619,U_618,U_614)
| ~ s_col(U_619,U_618,U_615)
| ~ s_col(U_617,U_616,U_615)
| U_617 = U_616
| U_619 = U_618 ),
inference(variable_rename,[status(thm)],[f_130_1]) ).
fof(f_130_3,plain,
! [U_619,U_618] :
( ! [U_617,U_616] :
( ! [U_615] :
( ! [U_614] :
( ! [U_613] :
( ~ s_r(U_614,U_615,U_613)
| U_615 = U_613
| ~ s_col(U_617,U_616,U_613) )
| U_615 = U_614
| ~ s_col(U_619,U_618,U_614) )
| perpAt(U_619,U_618,U_615,U_617,U_616)
| ~ s_col(U_619,U_618,U_615)
| ~ s_col(U_617,U_616,U_615) )
| U_617 = U_616 )
| U_619 = U_618 ),
inference(miniscope,[status(thm)],[f_130_2]) ).
fof(f_130_4,plain,
! [U_614,U_615,U_617,U_616,U_613,U_619,U_618] :
( ~ s_r(U_614,U_615,U_613)
| U_615 = U_613
| ~ s_col(U_617,U_616,U_613)
| U_615 = U_614
| ~ s_col(U_619,U_618,U_614)
| perpAt(U_619,U_618,U_615,U_617,U_616)
| ~ s_col(U_619,U_618,U_615)
| ~ s_col(U_617,U_616,U_615)
| U_617 = U_616
| U_619 = U_618 ),
inference(definitional_conversion,[status(esa)],[f_130_3]) ).
cnf(f_130_5,plain,
( ~ s_r(U_614,U_615,U_613)
| U_615 = U_613
| ~ s_col(U_617,U_616,U_613)
| U_615 = U_614
| ~ s_col(U_619,U_618,U_614)
| perpAt(U_619,U_618,U_615,U_617,U_616)
| ~ s_col(U_619,U_618,U_615)
| ~ s_col(U_617,U_616,U_615)
| U_617 = U_616
| U_619 = U_618 ),
inference(clausify,[status(thm)],[f_130_4]) ).
fof(f_131_1,plain,
! [Xa,Xb,Xp,Xq] :
( ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp)
| ~ perp(Xa,Xb,Xp,Xq) ),
inference(fof_nnf,[status(thm)],[aSatz8_14a]) ).
fof(f_131_2,plain,
! [U_623,U_622,U_621,U_620] :
( ~ s_col(U_623,U_622,U_620)
| ~ s_col(U_623,U_622,U_621)
| ~ perp(U_623,U_622,U_621,U_620) ),
inference(variable_rename,[status(thm)],[f_131_1]) ).
fof(f_131_3,plain,
! [U_623,U_622,U_621] :
( ! [U_620] :
( ~ s_col(U_623,U_622,U_620)
| ~ perp(U_623,U_622,U_621,U_620) )
| ~ s_col(U_623,U_622,U_621) ),
inference(miniscope,[status(thm)],[f_131_2]) ).
fof(f_131_4,plain,
! [U_621,U_622,U_623,U_620] :
( ~ s_col(U_623,U_622,U_620)
| ~ perp(U_623,U_622,U_621,U_620)
| ~ s_col(U_623,U_622,U_621) ),
inference(definitional_conversion,[status(esa)],[f_131_3]) ).
cnf(f_131_5,plain,
( ~ s_col(U_623,U_622,U_620)
| ~ perp(U_623,U_622,U_621,U_620)
| ~ s_col(U_623,U_622,U_621) ),
inference(clausify,[status(thm)],[f_131_4]) ).
fof(f_132_1,plain,
! [Xa,Xb,Xp,Xq,Xc] :
( perpAt(Xa,Xb,Xc,Xp,Xq)
| ~ s_col(Xp,Xq,Xc)
| ~ s_col(Xa,Xb,Xc)
| ~ perp(Xa,Xb,Xp,Xq) ),
inference(fof_nnf,[status(thm)],[aSatz8_14b]) ).
fof(f_132_2,plain,
! [U_628,U_627,U_626,U_625,U_624] :
( perpAt(U_628,U_627,U_624,U_626,U_625)
| ~ s_col(U_626,U_625,U_624)
| ~ s_col(U_628,U_627,U_624)
| ~ perp(U_628,U_627,U_626,U_625) ),
inference(variable_rename,[status(thm)],[f_132_1]) ).
fof(f_132_3,plain,
! [U_628,U_627,U_626,U_625] :
( ! [U_624] :
( perpAt(U_628,U_627,U_624,U_626,U_625)
| ~ s_col(U_626,U_625,U_624)
| ~ s_col(U_628,U_627,U_624) )
| ~ perp(U_628,U_627,U_626,U_625) ),
inference(miniscope,[status(thm)],[f_132_2]) ).
fof(f_132_4,plain,
! [U_624,U_626,U_627,U_625,U_628] :
( perpAt(U_628,U_627,U_624,U_626,U_625)
| ~ s_col(U_626,U_625,U_624)
| ~ s_col(U_628,U_627,U_624)
| ~ perp(U_628,U_627,U_626,U_625) ),
inference(definitional_conversion,[status(esa)],[f_132_3]) ).
cnf(f_132_5,plain,
( perpAt(U_628,U_627,U_624,U_626,U_625)
| ~ s_col(U_626,U_625,U_624)
| ~ s_col(U_628,U_627,U_624)
| ~ perp(U_628,U_627,U_626,U_625) ),
inference(clausify,[status(thm)],[f_132_4]) ).
fof(f_133_1,plain,
! [Xa,Xb,Xc,Xp,Xq] :
( Xc = il(Xa,Xb,Xp,Xq)
| ~ perpAt(Xa,Xb,Xc,Xp,Xq) ),
inference(fof_nnf,[status(thm)],[aSatz8_14c]) ).
fof(f_133_2,plain,
! [U_633,U_632,U_631,U_630,U_629] :
( U_631 = il(U_633,U_632,U_630,U_629)
| ~ perpAt(U_633,U_632,U_631,U_630,U_629) ),
inference(variable_rename,[status(thm)],[f_133_1]) ).
fof(f_133_3,plain,
! [U_630,U_629,U_631,U_632,U_633] :
( U_631 = il(U_633,U_632,U_630,U_629)
| ~ perpAt(U_633,U_632,U_631,U_630,U_629) ),
inference(definitional_conversion,[status(esa)],[f_133_2]) ).
cnf(f_133_4,plain,
( U_631 = il(U_633,U_632,U_630,U_629)
| ~ perpAt(U_633,U_632,U_631,U_630,U_629) ),
inference(clausify,[status(thm)],[f_133_3]) ).
fof(f_134_1,plain,
! [Xa,Xb,Xd,Xc] :
( perpAt(Xa,Xb,Xd,Xc,Xd)
| ~ perp(Xa,Xb,Xc,Xd)
| ~ s_col(Xa,Xb,Xd)
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz8_15]) ).
fof(f_134_2,plain,
! [U_637,U_636,U_635,U_634] :
( perpAt(U_637,U_636,U_635,U_634,U_635)
| ~ perp(U_637,U_636,U_634,U_635)
| ~ s_col(U_637,U_636,U_635)
| U_637 = U_636 ),
inference(variable_rename,[status(thm)],[f_134_1]) ).
fof(f_134_3,plain,
! [U_637,U_636] :
( ! [U_635] :
( ! [U_634] :
( perpAt(U_637,U_636,U_635,U_634,U_635)
| ~ perp(U_637,U_636,U_634,U_635) )
| ~ s_col(U_637,U_636,U_635) )
| U_637 = U_636 ),
inference(miniscope,[status(thm)],[f_134_2]) ).
fof(f_134_4,plain,
! [U_634,U_635,U_636,U_637] :
( perpAt(U_637,U_636,U_635,U_634,U_635)
| ~ perp(U_637,U_636,U_634,U_635)
| ~ s_col(U_637,U_636,U_635)
| U_637 = U_636 ),
inference(definitional_conversion,[status(esa)],[f_134_3]) ).
cnf(f_134_5,plain,
( perpAt(U_637,U_636,U_635,U_634,U_635)
| ~ perp(U_637,U_636,U_634,U_635)
| ~ s_col(U_637,U_636,U_635)
| U_637 = U_636 ),
inference(clausify,[status(thm)],[f_134_4]) ).
fof(f_135_1,plain,
! [Xa,Xb,Xp,Xq,Xc] :
( ( ~ perp(Xa,Xb,Xc,Xp)
| s_r(Xc,Xp,Xq)
| Xq = Xp
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp)
| Xa = Xb )
& ( ~ perp(Xa,Xb,Xc,Xp)
| ~ s_col(Xa,Xb,Xc)
| Xq = Xp
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp)
| Xa = Xb ) ),
inference(fof_nnf,[status(thm)],[aSatz8_16a]) ).
fof(f_135_2,plain,
! [U_642,U_641,U_640,U_639,U_638] :
( ( ~ perp(U_642,U_641,U_638,U_640)
| s_r(U_638,U_640,U_639)
| U_639 = U_640
| ~ s_col(U_642,U_641,U_639)
| ~ s_col(U_642,U_641,U_640)
| U_642 = U_641 )
& ( ~ perp(U_642,U_641,U_638,U_640)
| ~ s_col(U_642,U_641,U_638)
| U_639 = U_640
| ~ s_col(U_642,U_641,U_639)
| ~ s_col(U_642,U_641,U_640)
| U_642 = U_641 ) ),
inference(variable_rename,[status(thm)],[f_135_1]) ).
fof(f_135_3,plain,
( ! [U_652,U_650] :
( ! [U_648] :
( ! [U_646] :
( ! [U_644] :
( ~ perp(U_652,U_650,U_644,U_648)
| s_r(U_644,U_648,U_646) )
| U_646 = U_648
| ~ s_col(U_652,U_650,U_646) )
| ~ s_col(U_652,U_650,U_648) )
| U_652 = U_650 )
& ! [U_651,U_649] :
( ! [U_647] :
( ! [U_645] :
( U_645 = U_647
| ~ s_col(U_651,U_649,U_645) )
| ! [U_643] :
( ~ perp(U_651,U_649,U_643,U_647)
| ~ s_col(U_651,U_649,U_643) )
| ~ s_col(U_651,U_649,U_647) )
| U_651 = U_649 ) ),
inference(miniscope,[status(thm)],[f_135_2]) ).
fof(f_135_4,plain,
( ! [U_646,U_644,U_652,U_648,U_650] :
( ~ perp(U_652,U_650,U_644,U_648)
| s_r(U_644,U_648,U_646)
| U_646 = U_648
| ~ s_col(U_652,U_650,U_646)
| ~ s_col(U_652,U_650,U_648)
| U_652 = U_650 )
& ! [U_643,U_651,U_647,U_645,U_649] :
( U_645 = U_647
| ~ s_col(U_651,U_649,U_645)
| ~ perp(U_651,U_649,U_643,U_647)
| ~ s_col(U_651,U_649,U_643)
| ~ s_col(U_651,U_649,U_647)
| U_651 = U_649 ) ),
inference(definitional_conversion,[status(esa)],[f_135_3]) ).
cnf(f_135_5,plain,
( U_645 = U_647
| ~ s_col(U_651,U_649,U_645)
| ~ perp(U_651,U_649,U_643,U_647)
| ~ s_col(U_651,U_649,U_643)
| ~ s_col(U_651,U_649,U_647)
| U_651 = U_649 ),
inference(clausify,[status(thm)],[f_135_4]) ).
cnf(f_135_6,plain,
( ~ perp(U_652,U_650,U_644,U_648)
| s_r(U_644,U_648,U_646)
| U_646 = U_648
| ~ s_col(U_652,U_650,U_646)
| ~ s_col(U_652,U_650,U_648)
| U_652 = U_650 ),
inference(clausify,[status(thm)],[f_135_4]) ).
fof(f_136_1,plain,
! [Xa,Xb,Xp,Xq,Xc] :
( ~ s_r(Xc,Xp,Xq)
| s_col(Xa,Xb,Xc)
| perp(Xa,Xb,Xc,Xp)
| Xq = Xp
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp)
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz8_16b]) ).
fof(f_136_2,plain,
! [U_657,U_656,U_655,U_654,U_653] :
( ~ s_r(U_653,U_655,U_654)
| s_col(U_657,U_656,U_653)
| perp(U_657,U_656,U_653,U_655)
| U_654 = U_655
| ~ s_col(U_657,U_656,U_654)
| ~ s_col(U_657,U_656,U_655)
| U_657 = U_656 ),
inference(variable_rename,[status(thm)],[f_136_1]) ).
fof(f_136_3,plain,
! [U_657,U_656] :
( ! [U_655] :
( ! [U_654] :
( ! [U_653] :
( ~ s_r(U_653,U_655,U_654)
| s_col(U_657,U_656,U_653)
| perp(U_657,U_656,U_653,U_655) )
| U_654 = U_655
| ~ s_col(U_657,U_656,U_654) )
| ~ s_col(U_657,U_656,U_655) )
| U_657 = U_656 ),
inference(miniscope,[status(thm)],[f_136_2]) ).
fof(f_136_4,plain,
! [U_655,U_656,U_657,U_653,U_654] :
( ~ s_r(U_653,U_655,U_654)
| s_col(U_657,U_656,U_653)
| perp(U_657,U_656,U_653,U_655)
| U_654 = U_655
| ~ s_col(U_657,U_656,U_654)
| ~ s_col(U_657,U_656,U_655)
| U_657 = U_656 ),
inference(definitional_conversion,[status(esa)],[f_136_3]) ).
cnf(f_136_5,plain,
( ~ s_r(U_653,U_655,U_654)
| s_col(U_657,U_656,U_653)
| perp(U_657,U_656,U_653,U_655)
| U_654 = U_655
| ~ s_col(U_657,U_656,U_654)
| ~ s_col(U_657,U_656,U_655)
| U_657 = U_656 ),
inference(clausify,[status(thm)],[f_136_4]) ).
fof(f_137_1,plain,
! [Xa,Xb,Xc,Xp,Xq] :
( Xp = Xq
| ~ perp(Xa,Xb,Xc,Xq)
| ~ perp(Xa,Xb,Xc,Xp)
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp)
| s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz8_18a]) ).
fof(f_137_2,plain,
! [U_662,U_661,U_660,U_659,U_658] :
( U_659 = U_658
| ~ perp(U_662,U_661,U_660,U_658)
| ~ perp(U_662,U_661,U_660,U_659)
| ~ s_col(U_662,U_661,U_658)
| ~ s_col(U_662,U_661,U_659)
| s_col(U_662,U_661,U_660) ),
inference(variable_rename,[status(thm)],[f_137_1]) ).
fof(f_137_3,plain,
! [U_662,U_661,U_660] :
( ! [U_659] :
( ! [U_658] :
( U_659 = U_658
| ~ perp(U_662,U_661,U_660,U_658)
| ~ s_col(U_662,U_661,U_658) )
| ~ perp(U_662,U_661,U_660,U_659)
| ~ s_col(U_662,U_661,U_659) )
| s_col(U_662,U_661,U_660) ),
inference(miniscope,[status(thm)],[f_137_2]) ).
fof(f_137_4,plain,
! [U_662,U_658,U_659,U_661,U_660] :
( U_659 = U_658
| ~ perp(U_662,U_661,U_660,U_658)
| ~ s_col(U_662,U_661,U_658)
| ~ perp(U_662,U_661,U_660,U_659)
| ~ s_col(U_662,U_661,U_659)
| s_col(U_662,U_661,U_660) ),
inference(definitional_conversion,[status(esa)],[f_137_3]) ).
cnf(f_137_5,plain,
( U_659 = U_658
| ~ perp(U_662,U_661,U_660,U_658)
| ~ s_col(U_662,U_661,U_658)
| ~ perp(U_662,U_661,U_660,U_659)
| ~ s_col(U_662,U_661,U_659)
| s_col(U_662,U_661,U_660) ),
inference(clausify,[status(thm)],[f_137_4]) ).
fof(f_138_1,plain,
! [Xa,Xb,Xc] :
( ( perp(Xa,Xb,Xc,foot(Xa,Xb,Xc))
| s_col(Xa,Xb,Xc) )
& ( s_col(Xa,Xb,foot(Xa,Xb,Xc))
| s_col(Xa,Xb,Xc) ) ),
inference(fof_nnf,[status(thm)],[aSatz8_18]) ).
fof(f_138_2,plain,
! [U_665,U_664,U_663] :
( ( perp(U_665,U_664,U_663,foot(U_665,U_664,U_663))
| s_col(U_665,U_664,U_663) )
& ( s_col(U_665,U_664,foot(U_665,U_664,U_663))
| s_col(U_665,U_664,U_663) ) ),
inference(variable_rename,[status(thm)],[f_138_1]) ).
fof(f_138_3,plain,
( ! [U_671,U_669,U_667] :
( perp(U_671,U_669,U_667,foot(U_671,U_669,U_667))
| s_col(U_671,U_669,U_667) )
& ! [U_670,U_668,U_666] :
( s_col(U_670,U_668,foot(U_670,U_668,U_666))
| s_col(U_670,U_668,U_666) ) ),
inference(miniscope,[status(thm)],[f_138_2]) ).
fof(f_138_4,plain,
( ! [U_669,U_667,U_671] :
( perp(U_671,U_669,U_667,foot(U_671,U_669,U_667))
| s_col(U_671,U_669,U_667) )
& ! [U_666,U_668,U_670] :
( s_col(U_670,U_668,foot(U_670,U_668,U_666))
| s_col(U_670,U_668,U_666) ) ),
inference(definitional_conversion,[status(esa)],[f_138_3]) ).
cnf(f_138_5,plain,
( s_col(U_670,U_668,foot(U_670,U_668,U_666))
| s_col(U_670,U_668,U_666) ),
inference(clausify,[status(thm)],[f_138_4]) ).
cnf(f_138_6,plain,
( perp(U_671,U_669,U_667,foot(U_671,U_669,U_667))
| s_col(U_671,U_669,U_667) ),
inference(clausify,[status(thm)],[f_138_4]) ).
fof(f_139_1,plain,
! [Xa,Xb,Xc,Xp] :
( s_r(Xb,Xa,Xp)
| ~ s_m(s(Xa,Xc),Xp,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz8_20a]) ).
fof(f_139_2,plain,
! [U_675,U_674,U_673,U_672] :
( s_r(U_674,U_675,U_672)
| ~ s_m(s(U_675,U_673),U_672,s(U_674,U_673))
| ~ s_r(U_675,U_674,U_673) ),
inference(variable_rename,[status(thm)],[f_139_1]) ).
fof(f_139_3,plain,
! [U_675,U_674,U_673] :
( ! [U_672] :
( s_r(U_674,U_675,U_672)
| ~ s_m(s(U_675,U_673),U_672,s(U_674,U_673)) )
| ~ s_r(U_675,U_674,U_673) ),
inference(miniscope,[status(thm)],[f_139_2]) ).
fof(f_139_4,plain,
! [U_672,U_674,U_673,U_675] :
( s_r(U_674,U_675,U_672)
| ~ s_m(s(U_675,U_673),U_672,s(U_674,U_673))
| ~ s_r(U_675,U_674,U_673) ),
inference(definitional_conversion,[status(esa)],[f_139_3]) ).
cnf(f_139_5,plain,
( s_r(U_674,U_675,U_672)
| ~ s_m(s(U_675,U_673),U_672,s(U_674,U_673))
| ~ s_r(U_675,U_674,U_673) ),
inference(clausify,[status(thm)],[f_139_4]) ).
fof(f_140_1,plain,
! [Xa,Xb,Xc,Xp] :
( Xa != Xp
| Xb = Xc
| ~ s_m(s(Xa,Xc),Xp,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz8_20b]) ).
fof(f_140_2,plain,
! [U_679,U_678,U_677,U_676] :
( U_679 != U_676
| U_678 = U_677
| ~ s_m(s(U_679,U_677),U_676,s(U_678,U_677))
| ~ s_r(U_679,U_678,U_677) ),
inference(variable_rename,[status(thm)],[f_140_1]) ).
fof(f_140_3,plain,
! [U_679,U_678,U_677] :
( ! [U_676] :
( U_679 != U_676
| ~ s_m(s(U_679,U_677),U_676,s(U_678,U_677)) )
| U_678 = U_677
| ~ s_r(U_679,U_678,U_677) ),
inference(miniscope,[status(thm)],[f_140_2]) ).
fof(f_140_4,plain,
! [U_678,U_676,U_677,U_679] :
( U_679 != U_676
| ~ s_m(s(U_679,U_677),U_676,s(U_678,U_677))
| U_678 = U_677
| ~ s_r(U_679,U_678,U_677) ),
inference(definitional_conversion,[status(esa)],[f_140_3]) ).
cnf(f_140_5,plain,
( U_679 != U_676
| ~ s_m(s(U_679,U_677),U_676,s(U_678,U_677))
| U_678 = U_677
| ~ s_r(U_679,U_678,U_677) ),
inference(clausify,[status(thm)],[f_140_4]) ).
fof(f_141_1,plain,
! [Xa,Xb,Xp,Xq] :
( perp(Xb,Xa,Xp,Xq)
| ~ perp(Xa,Xb,Xp,Xq) ),
inference(fof_nnf,[status(thm)],[aperp1]) ).
fof(f_141_2,plain,
! [U_683,U_682,U_681,U_680] :
( perp(U_682,U_683,U_681,U_680)
| ~ perp(U_683,U_682,U_681,U_680) ),
inference(variable_rename,[status(thm)],[f_141_1]) ).
fof(f_141_3,plain,
! [U_683,U_682,U_681,U_680] :
( perp(U_682,U_683,U_681,U_680)
| ~ perp(U_683,U_682,U_681,U_680) ),
inference(definitional_conversion,[status(esa)],[f_141_2]) ).
cnf(f_141_4,plain,
( perp(U_682,U_683,U_681,U_680)
| ~ perp(U_683,U_682,U_681,U_680) ),
inference(clausify,[status(thm)],[f_141_3]) ).
fof(f_142_1,plain,
! [Xa,Xb,Xc,Xd,Xp] :
( s_col(Xa,Xb,Xp)
| ~ s_col(Xc,Xd,Xp)
| ~ s_col(Xa,Xb,Xd)
| ~ s_col(Xa,Xb,Xc)
| Xc = Xd
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aExtCol2]) ).
fof(f_142_2,plain,
! [U_688,U_687,U_686,U_685,U_684] :
( s_col(U_688,U_687,U_684)
| ~ s_col(U_686,U_685,U_684)
| ~ s_col(U_688,U_687,U_685)
| ~ s_col(U_688,U_687,U_686)
| U_686 = U_685
| U_688 = U_687 ),
inference(variable_rename,[status(thm)],[f_142_1]) ).
fof(f_142_3,plain,
! [U_688,U_687] :
( ! [U_686] :
( ! [U_685] :
( ! [U_684] :
( s_col(U_688,U_687,U_684)
| ~ s_col(U_686,U_685,U_684) )
| ~ s_col(U_688,U_687,U_685)
| U_686 = U_685 )
| ~ s_col(U_688,U_687,U_686) )
| U_688 = U_687 ),
inference(miniscope,[status(thm)],[f_142_2]) ).
fof(f_142_4,plain,
! [U_684,U_685,U_688,U_687,U_686] :
( s_col(U_688,U_687,U_684)
| ~ s_col(U_686,U_685,U_684)
| ~ s_col(U_688,U_687,U_685)
| U_686 = U_685
| ~ s_col(U_688,U_687,U_686)
| U_688 = U_687 ),
inference(definitional_conversion,[status(esa)],[f_142_3]) ).
cnf(f_142_5,plain,
( s_col(U_688,U_687,U_684)
| ~ s_col(U_686,U_685,U_684)
| ~ s_col(U_688,U_687,U_685)
| U_686 = U_685
| ~ s_col(U_688,U_687,U_686)
| U_688 = U_687 ),
inference(clausify,[status(thm)],[f_142_4]) ).
fof(f_143_1,plain,
! [Xa,Xb,Xc] :
( ( s_col(Xa,Xb,Xc)
| s_t(Xc,erectAux21a(Xa,Xb,Xc),erect21a(Xa,Xb,Xc))
| Xa = Xb )
& ( s_col(Xa,Xb,Xc)
| s_col(Xa,Xb,erectAux21a(Xa,Xb,Xc))
| Xa = Xb )
& ( s_col(Xa,Xb,Xc)
| perp(Xa,Xb,erect21a(Xa,Xb,Xc),Xa)
| Xa = Xb ) ),
inference(fof_nnf,[status(thm)],[aSatz8_21a]) ).
fof(f_143_2,plain,
! [U_691,U_690,U_689] :
( ( s_col(U_691,U_690,U_689)
| s_t(U_689,erectAux21a(U_691,U_690,U_689),erect21a(U_691,U_690,U_689))
| U_691 = U_690 )
& ( s_col(U_691,U_690,U_689)
| s_col(U_691,U_690,erectAux21a(U_691,U_690,U_689))
| U_691 = U_690 )
& ( s_col(U_691,U_690,U_689)
| perp(U_691,U_690,erect21a(U_691,U_690,U_689),U_691)
| U_691 = U_690 ) ),
inference(variable_rename,[status(thm)],[f_143_1]) ).
fof(f_143_3,plain,
( ! [U_700,U_697] :
( ! [U_694] :
( s_col(U_700,U_697,U_694)
| s_t(U_694,erectAux21a(U_700,U_697,U_694),erect21a(U_700,U_697,U_694)) )
| U_700 = U_697 )
& ! [U_699,U_696] :
( ! [U_693] :
( s_col(U_699,U_696,U_693)
| s_col(U_699,U_696,erectAux21a(U_699,U_696,U_693)) )
| U_699 = U_696 )
& ! [U_698,U_695] :
( ! [U_692] :
( s_col(U_698,U_695,U_692)
| perp(U_698,U_695,erect21a(U_698,U_695,U_692),U_698) )
| U_698 = U_695 ) ),
inference(miniscope,[status(thm)],[f_143_2]) ).
fof(f_143_4,plain,
( ! [U_694,U_700,U_697] :
( s_col(U_700,U_697,U_694)
| s_t(U_694,erectAux21a(U_700,U_697,U_694),erect21a(U_700,U_697,U_694))
| U_700 = U_697 )
& ! [U_693,U_699,U_696] :
( s_col(U_699,U_696,U_693)
| s_col(U_699,U_696,erectAux21a(U_699,U_696,U_693))
| U_699 = U_696 )
& ! [U_695,U_692,U_698] :
( s_col(U_698,U_695,U_692)
| perp(U_698,U_695,erect21a(U_698,U_695,U_692),U_698)
| U_698 = U_695 ) ),
inference(definitional_conversion,[status(esa)],[f_143_3]) ).
cnf(f_143_5,plain,
( s_col(U_698,U_695,U_692)
| perp(U_698,U_695,erect21a(U_698,U_695,U_692),U_698)
| U_698 = U_695 ),
inference(clausify,[status(thm)],[f_143_4]) ).
cnf(f_143_6,plain,
( s_col(U_699,U_696,U_693)
| s_col(U_699,U_696,erectAux21a(U_699,U_696,U_693))
| U_699 = U_696 ),
inference(clausify,[status(thm)],[f_143_4]) ).
cnf(f_143_7,plain,
( s_col(U_700,U_697,U_694)
| s_t(U_694,erectAux21a(U_700,U_697,U_694),erect21a(U_700,U_697,U_694))
| U_700 = U_697 ),
inference(clausify,[status(thm)],[f_143_4]) ).
fof(f_144_1,plain,
! [Xa,Xb,Xc] :
( ( s_t(Xc,erectAux(Xa,Xb,Xc),erect(Xa,Xb,Xc))
| Xa = Xb )
& ( s_col(Xa,Xb,erectAux(Xa,Xb,Xc))
| Xa = Xb )
& ( perp(Xa,Xb,erect(Xa,Xb,Xc),Xa)
| Xa = Xb ) ),
inference(fof_nnf,[status(thm)],[aSatz8_21]) ).
fof(f_144_2,plain,
! [U_703,U_702,U_701] :
( ( s_t(U_701,erectAux(U_703,U_702,U_701),erect(U_703,U_702,U_701))
| U_703 = U_702 )
& ( s_col(U_703,U_702,erectAux(U_703,U_702,U_701))
| U_703 = U_702 )
& ( perp(U_703,U_702,erect(U_703,U_702,U_701),U_703)
| U_703 = U_702 ) ),
inference(variable_rename,[status(thm)],[f_144_1]) ).
fof(f_144_3,plain,
( ! [U_712,U_709] :
( ! [U_706] : s_t(U_706,erectAux(U_712,U_709,U_706),erect(U_712,U_709,U_706))
| U_712 = U_709 )
& ! [U_711,U_708] :
( ! [U_705] : s_col(U_711,U_708,erectAux(U_711,U_708,U_705))
| U_711 = U_708 )
& ! [U_710,U_707] :
( ! [U_704] : perp(U_710,U_707,erect(U_710,U_707,U_704),U_710)
| U_710 = U_707 ) ),
inference(miniscope,[status(thm)],[f_144_2]) ).
fof(f_144_4,plain,
( ! [U_706,U_712,U_709] :
( s_t(U_706,erectAux(U_712,U_709,U_706),erect(U_712,U_709,U_706))
| U_712 = U_709 )
& ! [U_705,U_711,U_708] :
( s_col(U_711,U_708,erectAux(U_711,U_708,U_705))
| U_711 = U_708 )
& ! [U_704,U_710,U_707] :
( perp(U_710,U_707,erect(U_710,U_707,U_704),U_710)
| U_710 = U_707 ) ),
inference(definitional_conversion,[status(esa)],[f_144_3]) ).
cnf(f_144_5,plain,
( perp(U_710,U_707,erect(U_710,U_707,U_704),U_710)
| U_710 = U_707 ),
inference(clausify,[status(thm)],[f_144_4]) ).
cnf(f_144_6,plain,
( s_col(U_711,U_708,erectAux(U_711,U_708,U_705))
| U_711 = U_708 ),
inference(clausify,[status(thm)],[f_144_4]) ).
cnf(f_144_7,plain,
( s_t(U_706,erectAux(U_712,U_709,U_706),erect(U_712,U_709,U_706))
| U_712 = U_709 ),
inference(clausify,[status(thm)],[f_144_4]) ).
fof(f_145_1,plain,
! [Xa,Xp,Xb,Xq,Xt] :
( s_m(Xa,midpointAux(Xa,Xb,Xp,Xq,Xt),Xb)
| ~ s_col(Xa,Xb,Xt)
| ~ s_t(Xp,Xt,Xq)
| ~ perp(Xa,Xb,Xb,Xq)
| ~ perp(Xa,Xb,Xa,Xp)
| ~ le(Xa,Xp,Xb,Xq) ),
inference(fof_nnf,[status(thm)],[aSatz8_22b]) ).
fof(f_145_2,plain,
! [U_717,U_716,U_715,U_714,U_713] :
( s_m(U_717,midpointAux(U_717,U_715,U_716,U_714,U_713),U_715)
| ~ s_col(U_717,U_715,U_713)
| ~ s_t(U_716,U_713,U_714)
| ~ perp(U_717,U_715,U_715,U_714)
| ~ perp(U_717,U_715,U_717,U_716)
| ~ le(U_717,U_716,U_715,U_714) ),
inference(variable_rename,[status(thm)],[f_145_1]) ).
fof(f_145_3,plain,
! [U_717,U_716,U_715] :
( ! [U_714] :
( ! [U_713] :
( s_m(U_717,midpointAux(U_717,U_715,U_716,U_714,U_713),U_715)
| ~ s_col(U_717,U_715,U_713)
| ~ s_t(U_716,U_713,U_714) )
| ~ perp(U_717,U_715,U_715,U_714)
| ~ le(U_717,U_716,U_715,U_714) )
| ~ perp(U_717,U_715,U_717,U_716) ),
inference(miniscope,[status(thm)],[f_145_2]) ).
fof(f_145_4,plain,
! [U_713,U_714,U_715,U_716,U_717] :
( s_m(U_717,midpointAux(U_717,U_715,U_716,U_714,U_713),U_715)
| ~ s_col(U_717,U_715,U_713)
| ~ s_t(U_716,U_713,U_714)
| ~ perp(U_717,U_715,U_715,U_714)
| ~ le(U_717,U_716,U_715,U_714)
| ~ perp(U_717,U_715,U_717,U_716) ),
inference(definitional_conversion,[status(esa)],[f_145_3]) ).
cnf(f_145_5,plain,
( s_m(U_717,midpointAux(U_717,U_715,U_716,U_714,U_713),U_715)
| ~ s_col(U_717,U_715,U_713)
| ~ s_t(U_716,U_713,U_714)
| ~ perp(U_717,U_715,U_715,U_714)
| ~ le(U_717,U_716,U_715,U_714)
| ~ perp(U_717,U_715,U_717,U_716) ),
inference(clausify,[status(thm)],[f_145_4]) ).
fof(f_146_1,plain,
! [Xa,Xb] : s_m(Xa,midpoint(Xa,Xb),Xb),
inference(fof_nnf,[status(thm)],[aSatz8_22]) ).
fof(f_146_2,plain,
! [U_719,U_718] : s_m(U_719,midpoint(U_719,U_718),U_718),
inference(variable_rename,[status(thm)],[f_146_1]) ).
fof(f_146_3,plain,
! [U_719,U_718] : s_m(U_719,midpoint(U_719,U_718),U_718),
inference(definitional_conversion,[status(esa)],[f_146_2]) ).
cnf(f_146_4,plain,
s_m(U_719,midpoint(U_719,U_718),U_718),
inference(clausify,[status(thm)],[f_146_3]) ).
fof(f_147_1,plain,
! [Xp,Xa,Xb,Xq,Xt,Xr,Xcx] :
( s_m(Xa,Xcx,Xb)
| Xcx != ip(Xp,Xt,Xq,Xb,Xr)
| ~ s_e(Xa,Xp,Xb,Xr)
| ~ s_t(Xb,Xr,Xq)
| ~ s_t(Xp,Xt,Xq)
| ~ s_col(Xa,Xb,Xt)
| ~ perp(Xq,Xb,Xa,Xb)
| ~ perp(Xp,Xa,Xa,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz8_24a]) ).
fof(f_147_2,plain,
! [U_726,U_725,U_724,U_723,U_722,U_721,U_720] :
( s_m(U_725,U_720,U_724)
| U_720 != ip(U_726,U_722,U_723,U_724,U_721)
| ~ s_e(U_725,U_726,U_724,U_721)
| ~ s_t(U_724,U_721,U_723)
| ~ s_t(U_726,U_722,U_723)
| ~ s_col(U_725,U_724,U_722)
| ~ perp(U_723,U_724,U_725,U_724)
| ~ perp(U_726,U_725,U_725,U_724) ),
inference(variable_rename,[status(thm)],[f_147_1]) ).
fof(f_147_3,plain,
! [U_726,U_725,U_724] :
( ! [U_723] :
( ! [U_722] :
( ! [U_721] :
( ! [U_720] :
( s_m(U_725,U_720,U_724)
| U_720 != ip(U_726,U_722,U_723,U_724,U_721) )
| ~ s_e(U_725,U_726,U_724,U_721)
| ~ s_t(U_724,U_721,U_723) )
| ~ s_t(U_726,U_722,U_723)
| ~ s_col(U_725,U_724,U_722) )
| ~ perp(U_723,U_724,U_725,U_724) )
| ~ perp(U_726,U_725,U_725,U_724) ),
inference(miniscope,[status(thm)],[f_147_2]) ).
fof(f_147_4,plain,
! [U_720,U_721,U_725,U_726,U_722,U_724,U_723] :
( s_m(U_725,U_720,U_724)
| U_720 != ip(U_726,U_722,U_723,U_724,U_721)
| ~ s_e(U_725,U_726,U_724,U_721)
| ~ s_t(U_724,U_721,U_723)
| ~ s_t(U_726,U_722,U_723)
| ~ s_col(U_725,U_724,U_722)
| ~ perp(U_723,U_724,U_725,U_724)
| ~ perp(U_726,U_725,U_725,U_724) ),
inference(definitional_conversion,[status(esa)],[f_147_3]) ).
cnf(f_147_5,plain,
( s_m(U_725,U_720,U_724)
| U_720 != ip(U_726,U_722,U_723,U_724,U_721)
| ~ s_e(U_725,U_726,U_724,U_721)
| ~ s_t(U_724,U_721,U_723)
| ~ s_t(U_726,U_722,U_723)
| ~ s_col(U_725,U_724,U_722)
| ~ perp(U_723,U_724,U_725,U_724)
| ~ perp(U_726,U_725,U_725,U_724) ),
inference(clausify,[status(thm)],[f_147_4]) ).
fof(f_148_1,plain,
! [Xp,Xa,Xb,Xq,Xt,Xr,Xcx] :
( s_m(Xp,Xcx,Xr)
| Xcx != ip(Xp,Xt,Xq,Xb,Xr)
| ~ s_e(Xa,Xp,Xb,Xr)
| ~ s_t(Xb,Xr,Xq)
| ~ s_t(Xp,Xt,Xq)
| ~ s_col(Xa,Xb,Xt)
| ~ perp(Xq,Xb,Xa,Xb)
| ~ perp(Xp,Xa,Xa,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz8_24b]) ).
fof(f_148_2,plain,
! [U_733,U_732,U_731,U_730,U_729,U_728,U_727] :
( s_m(U_733,U_727,U_728)
| U_727 != ip(U_733,U_729,U_730,U_731,U_728)
| ~ s_e(U_732,U_733,U_731,U_728)
| ~ s_t(U_731,U_728,U_730)
| ~ s_t(U_733,U_729,U_730)
| ~ s_col(U_732,U_731,U_729)
| ~ perp(U_730,U_731,U_732,U_731)
| ~ perp(U_733,U_732,U_732,U_731) ),
inference(variable_rename,[status(thm)],[f_148_1]) ).
fof(f_148_3,plain,
! [U_733,U_732,U_731] :
( ! [U_730] :
( ! [U_729] :
( ! [U_728] :
( ! [U_727] :
( s_m(U_733,U_727,U_728)
| U_727 != ip(U_733,U_729,U_730,U_731,U_728) )
| ~ s_e(U_732,U_733,U_731,U_728)
| ~ s_t(U_731,U_728,U_730) )
| ~ s_t(U_733,U_729,U_730)
| ~ s_col(U_732,U_731,U_729) )
| ~ perp(U_730,U_731,U_732,U_731) )
| ~ perp(U_733,U_732,U_732,U_731) ),
inference(miniscope,[status(thm)],[f_148_2]) ).
fof(f_148_4,plain,
! [U_731,U_732,U_729,U_733,U_730,U_727,U_728] :
( s_m(U_733,U_727,U_728)
| U_727 != ip(U_733,U_729,U_730,U_731,U_728)
| ~ s_e(U_732,U_733,U_731,U_728)
| ~ s_t(U_731,U_728,U_730)
| ~ s_t(U_733,U_729,U_730)
| ~ s_col(U_732,U_731,U_729)
| ~ perp(U_730,U_731,U_732,U_731)
| ~ perp(U_733,U_732,U_732,U_731) ),
inference(definitional_conversion,[status(esa)],[f_148_3]) ).
cnf(f_148_5,plain,
( s_m(U_733,U_727,U_728)
| U_727 != ip(U_733,U_729,U_730,U_731,U_728)
| ~ s_e(U_732,U_733,U_731,U_728)
| ~ s_t(U_731,U_728,U_730)
| ~ s_t(U_733,U_729,U_730)
| ~ s_col(U_732,U_731,U_729)
| ~ perp(U_730,U_731,U_732,U_731)
| ~ perp(U_733,U_732,U_732,U_731) ),
inference(clausify,[status(thm)],[f_148_4]) ).
fof(f_149_1,plain,
! [Xp,Xa,Xb,Xq,Xt,Xr] :
( s_m(Xp,midpoint(Xa,Xb),Xr)
| ~ s_e(Xa,Xp,Xb,Xr)
| ~ s_t(Xb,Xr,Xq)
| ~ s_t(Xp,Xt,Xq)
| ~ s_col(Xa,Xb,Xt)
| ~ perp(Xq,Xb,Xa,Xb)
| ~ perp(Xp,Xa,Xa,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz8_24]) ).
fof(f_149_2,plain,
! [U_739,U_738,U_737,U_736,U_735,U_734] :
( s_m(U_739,midpoint(U_738,U_737),U_734)
| ~ s_e(U_738,U_739,U_737,U_734)
| ~ s_t(U_737,U_734,U_736)
| ~ s_t(U_739,U_735,U_736)
| ~ s_col(U_738,U_737,U_735)
| ~ perp(U_736,U_737,U_738,U_737)
| ~ perp(U_739,U_738,U_738,U_737) ),
inference(variable_rename,[status(thm)],[f_149_1]) ).
fof(f_149_3,plain,
! [U_739,U_738,U_737] :
( ! [U_736] :
( ! [U_735] :
( ~ s_t(U_739,U_735,U_736)
| ~ s_col(U_738,U_737,U_735) )
| ! [U_734] :
( s_m(U_739,midpoint(U_738,U_737),U_734)
| ~ s_e(U_738,U_739,U_737,U_734)
| ~ s_t(U_737,U_734,U_736) )
| ~ perp(U_736,U_737,U_738,U_737) )
| ~ perp(U_739,U_738,U_738,U_737) ),
inference(miniscope,[status(thm)],[f_149_2]) ).
fof(f_149_4,plain,
! [U_736,U_739,U_735,U_734,U_738,U_737] :
( ~ s_t(U_739,U_735,U_736)
| ~ s_col(U_738,U_737,U_735)
| s_m(U_739,midpoint(U_738,U_737),U_734)
| ~ s_e(U_738,U_739,U_737,U_734)
| ~ s_t(U_737,U_734,U_736)
| ~ perp(U_736,U_737,U_738,U_737)
| ~ perp(U_739,U_738,U_738,U_737) ),
inference(definitional_conversion,[status(esa)],[f_149_3]) ).
cnf(f_149_5,plain,
( ~ s_t(U_739,U_735,U_736)
| ~ s_col(U_738,U_737,U_735)
| s_m(U_739,midpoint(U_738,U_737),U_734)
| ~ s_e(U_738,U_739,U_737,U_734)
| ~ s_t(U_737,U_734,U_736)
| ~ perp(U_736,U_737,U_738,U_737)
| ~ perp(U_739,U_738,U_738,U_737) ),
inference(clausify,[status(thm)],[f_149_4]) ).
fof(f_150_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_col(Xa,Xc,Xd)
| Xa = Xb
| ~ s_col(Xa,Xb,Xd)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aext1]) ).
fof(f_150_2,plain,
! [U_743,U_742,U_741,U_740] :
( s_col(U_743,U_741,U_740)
| U_743 = U_742
| ~ s_col(U_743,U_742,U_740)
| ~ s_col(U_743,U_742,U_741) ),
inference(variable_rename,[status(thm)],[f_150_1]) ).
fof(f_150_3,plain,
! [U_743,U_742] :
( ! [U_741] :
( ! [U_740] :
( s_col(U_743,U_741,U_740)
| ~ s_col(U_743,U_742,U_740) )
| ~ s_col(U_743,U_742,U_741) )
| U_743 = U_742 ),
inference(miniscope,[status(thm)],[f_150_2]) ).
fof(f_150_4,plain,
! [U_743,U_742,U_741,U_740] :
( s_col(U_743,U_741,U_740)
| ~ s_col(U_743,U_742,U_740)
| ~ s_col(U_743,U_742,U_741)
| U_743 = U_742 ),
inference(definitional_conversion,[status(esa)],[f_150_3]) ).
cnf(f_150_5,plain,
( s_col(U_743,U_741,U_740)
| ~ s_col(U_743,U_742,U_740)
| ~ s_col(U_743,U_742,U_741)
| U_743 = U_742 ),
inference(clausify,[status(thm)],[f_150_4]) ).
fof(f_151_1,plain,
! [Xa,Xb,Xp,Xq,Xr,Xc,Xd] :
( perpAt(Xa,Xb,Xr,Xc,Xd)
| ~ perpAt(Xp,Xq,Xr,Xc,Xd)
| Xa = Xb
| Xp = Xq
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp) ),
inference(fof_nnf,[status(thm)],[aExtPerp]) ).
fof(f_151_2,plain,
! [U_750,U_749,U_748,U_747,U_746,U_745,U_744] :
( perpAt(U_750,U_749,U_746,U_745,U_744)
| ~ perpAt(U_748,U_747,U_746,U_745,U_744)
| U_750 = U_749
| U_748 = U_747
| ~ s_col(U_750,U_749,U_747)
| ~ s_col(U_750,U_749,U_748) ),
inference(variable_rename,[status(thm)],[f_151_1]) ).
fof(f_151_3,plain,
! [U_750,U_749] :
( ! [U_748] :
( ! [U_747] :
( ! [U_746,U_745,U_744] :
( perpAt(U_750,U_749,U_746,U_745,U_744)
| ~ perpAt(U_748,U_747,U_746,U_745,U_744) )
| U_748 = U_747
| ~ s_col(U_750,U_749,U_747) )
| ~ s_col(U_750,U_749,U_748) )
| U_750 = U_749 ),
inference(miniscope,[status(thm)],[f_151_2]) ).
fof(f_151_4,plain,
! [U_746,U_749,U_748,U_745,U_744,U_747,U_750] :
( perpAt(U_750,U_749,U_746,U_745,U_744)
| ~ perpAt(U_748,U_747,U_746,U_745,U_744)
| U_748 = U_747
| ~ s_col(U_750,U_749,U_747)
| ~ s_col(U_750,U_749,U_748)
| U_750 = U_749 ),
inference(definitional_conversion,[status(esa)],[f_151_3]) ).
cnf(f_151_5,plain,
( perpAt(U_750,U_749,U_746,U_745,U_744)
| ~ perpAt(U_748,U_747,U_746,U_745,U_744)
| U_748 = U_747
| ~ s_col(U_750,U_749,U_747)
| ~ s_col(U_750,U_749,U_748)
| U_750 = U_749 ),
inference(clausify,[status(thm)],[f_151_4]) ).
fof(f_152_1,plain,
! [Xa,Xb,Xp,Xq,Xc,Xd] :
( perp(Xa,Xb,Xc,Xd)
| ~ perp(Xp,Xq,Xc,Xd)
| Xa = Xb
| Xp = Xq
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp) ),
inference(fof_nnf,[status(thm)],[aExtPerp2]) ).
fof(f_152_2,plain,
! [U_756,U_755,U_754,U_753,U_752,U_751] :
( perp(U_756,U_755,U_752,U_751)
| ~ perp(U_754,U_753,U_752,U_751)
| U_756 = U_755
| U_754 = U_753
| ~ s_col(U_756,U_755,U_753)
| ~ s_col(U_756,U_755,U_754) ),
inference(variable_rename,[status(thm)],[f_152_1]) ).
fof(f_152_3,plain,
! [U_756,U_755] :
( ! [U_754] :
( ! [U_753] :
( ! [U_752,U_751] :
( perp(U_756,U_755,U_752,U_751)
| ~ perp(U_754,U_753,U_752,U_751) )
| U_754 = U_753
| ~ s_col(U_756,U_755,U_753) )
| ~ s_col(U_756,U_755,U_754) )
| U_756 = U_755 ),
inference(miniscope,[status(thm)],[f_152_2]) ).
fof(f_152_4,plain,
! [U_755,U_756,U_752,U_751,U_753,U_754] :
( perp(U_756,U_755,U_752,U_751)
| ~ perp(U_754,U_753,U_752,U_751)
| U_754 = U_753
| ~ s_col(U_756,U_755,U_753)
| ~ s_col(U_756,U_755,U_754)
| U_756 = U_755 ),
inference(definitional_conversion,[status(esa)],[f_152_3]) ).
cnf(f_152_5,plain,
( perp(U_756,U_755,U_752,U_751)
| ~ perp(U_754,U_753,U_752,U_751)
| U_754 = U_753
| ~ s_col(U_756,U_755,U_753)
| ~ s_col(U_756,U_755,U_754)
| U_756 = U_755 ),
inference(clausify,[status(thm)],[f_152_4]) ).
fof(f_153_1,plain,
! [Xa,Xb,Xc,Xd] :
( perp(Xb,Xa,Xa,Xd)
| ~ s_col(Xa,Xc,Xd)
| ~ perp(Xb,Xa,Xa,Xc)
| Xa = Xd
| Xd = Xc
| Xb = Xc
| Xa = Xc
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aExtPerp3]) ).
fof(f_153_2,plain,
! [U_760,U_759,U_758,U_757] :
( perp(U_759,U_760,U_760,U_757)
| ~ s_col(U_760,U_758,U_757)
| ~ perp(U_759,U_760,U_760,U_758)
| U_760 = U_757
| U_757 = U_758
| U_759 = U_758
| U_760 = U_758
| U_760 = U_759 ),
inference(variable_rename,[status(thm)],[f_153_1]) ).
fof(f_153_3,plain,
! [U_760,U_759] :
( ! [U_758] :
( ! [U_757] :
( perp(U_759,U_760,U_760,U_757)
| ~ s_col(U_760,U_758,U_757)
| U_760 = U_757
| U_757 = U_758 )
| ~ perp(U_759,U_760,U_760,U_758)
| U_759 = U_758
| U_760 = U_758 )
| U_760 = U_759 ),
inference(miniscope,[status(thm)],[f_153_2]) ).
fof(f_153_4,plain,
! [U_760,U_758,U_759,U_757] :
( perp(U_759,U_760,U_760,U_757)
| ~ s_col(U_760,U_758,U_757)
| U_760 = U_757
| U_757 = U_758
| ~ perp(U_759,U_760,U_760,U_758)
| U_759 = U_758
| U_760 = U_758
| U_760 = U_759 ),
inference(definitional_conversion,[status(esa)],[f_153_3]) ).
cnf(f_153_5,plain,
( perp(U_759,U_760,U_760,U_757)
| ~ s_col(U_760,U_758,U_757)
| U_760 = U_757
| U_757 = U_758
| ~ perp(U_759,U_760,U_760,U_758)
| U_759 = U_758
| U_760 = U_758
| U_760 = U_759 ),
inference(clausify,[status(thm)],[f_153_4]) ).
fof(f_154_1,plain,
! [Xa,Xb,Xp,Xq] :
( perp(Xa,Xb,Xq,Xp)
| ~ perp(Xa,Xb,Xp,Xq) ),
inference(fof_nnf,[status(thm)],[aExtPerp4]) ).
fof(f_154_2,plain,
! [U_764,U_763,U_762,U_761] :
( perp(U_764,U_763,U_761,U_762)
| ~ perp(U_764,U_763,U_762,U_761) ),
inference(variable_rename,[status(thm)],[f_154_1]) ).
fof(f_154_3,plain,
! [U_763,U_764,U_761,U_762] :
( perp(U_764,U_763,U_761,U_762)
| ~ perp(U_764,U_763,U_762,U_761) ),
inference(definitional_conversion,[status(esa)],[f_154_2]) ).
cnf(f_154_4,plain,
( perp(U_764,U_763,U_761,U_762)
| ~ perp(U_764,U_763,U_762,U_761) ),
inference(clausify,[status(thm)],[f_154_3]) ).
fof(f_155_1,plain,
! [Xa,Xb,Xp,Xq,Xc,Xd] :
( ~ perp(Xa,Xb,Xc,Xd)
| perp(Xp,Xq,Xc,Xd)
| Xa = Xb
| Xp = Xq
| ~ s_col(Xa,Xb,Xq)
| ~ s_col(Xa,Xb,Xp) ),
inference(fof_nnf,[status(thm)],[aExtPerp5]) ).
fof(f_155_2,plain,
! [U_770,U_769,U_768,U_767,U_766,U_765] :
( ~ perp(U_770,U_769,U_766,U_765)
| perp(U_768,U_767,U_766,U_765)
| U_770 = U_769
| U_768 = U_767
| ~ s_col(U_770,U_769,U_767)
| ~ s_col(U_770,U_769,U_768) ),
inference(variable_rename,[status(thm)],[f_155_1]) ).
fof(f_155_3,plain,
! [U_770,U_769] :
( ! [U_768] :
( ! [U_767] :
( ! [U_766,U_765] :
( ~ perp(U_770,U_769,U_766,U_765)
| perp(U_768,U_767,U_766,U_765) )
| U_768 = U_767
| ~ s_col(U_770,U_769,U_767) )
| ~ s_col(U_770,U_769,U_768) )
| U_770 = U_769 ),
inference(miniscope,[status(thm)],[f_155_2]) ).
fof(f_155_4,plain,
! [U_768,U_767,U_765,U_766,U_769,U_770] :
( ~ perp(U_770,U_769,U_766,U_765)
| perp(U_768,U_767,U_766,U_765)
| U_768 = U_767
| ~ s_col(U_770,U_769,U_767)
| ~ s_col(U_770,U_769,U_768)
| U_770 = U_769 ),
inference(definitional_conversion,[status(esa)],[f_155_3]) ).
cnf(f_155_5,plain,
( ~ perp(U_770,U_769,U_766,U_765)
| perp(U_768,U_767,U_766,U_765)
| U_768 = U_767
| ~ s_col(U_770,U_769,U_767)
| ~ s_col(U_770,U_769,U_768)
| U_770 = U_769 ),
inference(clausify,[status(thm)],[f_155_4]) ).
fof(f_156_1,plain,
( ~ perp(xc,xd,xa,xb)
| perp(xc,xd,xp,xq)
| xa = xb
| xp = xq
| ~ s_col(xa,xb,xq)
| ~ s_col(xa,xb,xp) ),
inference(fof_nnf,[status(thm)],[aExtPerp6]) ).
fof(f_156_2,plain,
( ~ perp(xc,xd,xa,xb)
| perp(xc,xd,xp,xq)
| xa = xb
| xp = xq
| ~ s_col(xa,xb,xq)
| ~ s_col(xa,xb,xp) ),
inference(definitional_conversion,[status(esa)],[f_156_1]) ).
cnf(f_156_3,plain,
( ~ perp(xc,xd,xa,xb)
| perp(xc,xd,xp,xq)
| xa = xb
| xp = xq
| ~ s_col(xa,xb,xq)
| ~ s_col(xa,xb,xp) ),
inference(clausify,[status(thm)],[f_156_2]) ).
fof(f_157_1,plain,
! [Xa,Xb,Xc,Xp,Xq] :
( samesideline(Xp,Xq,Xa,Xc)
| ~ samesideline(Xp,Xq,Xa,Xb)
| Xa = Xc
| Xa = Xb
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aExtSameSide1]) ).
fof(f_157_2,plain,
! [U_775,U_774,U_773,U_772,U_771] :
( samesideline(U_772,U_771,U_775,U_773)
| ~ samesideline(U_772,U_771,U_775,U_774)
| U_775 = U_773
| U_775 = U_774
| ~ s_col(U_775,U_774,U_773) ),
inference(variable_rename,[status(thm)],[f_157_1]) ).
fof(f_157_3,plain,
! [U_775,U_774] :
( ! [U_773] :
( ! [U_772,U_771] :
( samesideline(U_772,U_771,U_775,U_773)
| ~ samesideline(U_772,U_771,U_775,U_774) )
| U_775 = U_773
| ~ s_col(U_775,U_774,U_773) )
| U_775 = U_774 ),
inference(miniscope,[status(thm)],[f_157_2]) ).
fof(f_157_4,plain,
! [U_774,U_775,U_771,U_773,U_772] :
( samesideline(U_772,U_771,U_775,U_773)
| ~ samesideline(U_772,U_771,U_775,U_774)
| U_775 = U_773
| ~ s_col(U_775,U_774,U_773)
| U_775 = U_774 ),
inference(definitional_conversion,[status(esa)],[f_157_3]) ).
cnf(f_157_5,plain,
( samesideline(U_772,U_771,U_775,U_773)
| ~ samesideline(U_772,U_771,U_775,U_774)
| U_775 = U_773
| ~ s_col(U_775,U_774,U_773)
| U_775 = U_774 ),
inference(clausify,[status(thm)],[f_157_4]) ).
fof(f_158_1,plain,
! [Xa,Xb,Xp,Xq] :
( samesideline(Xp,Xq,Xb,Xa)
| ~ samesideline(Xp,Xq,Xa,Xb)
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aExtSameSide2]) ).
fof(f_158_2,plain,
! [U_779,U_778,U_777,U_776] :
( samesideline(U_777,U_776,U_778,U_779)
| ~ samesideline(U_777,U_776,U_779,U_778)
| U_779 = U_778 ),
inference(variable_rename,[status(thm)],[f_158_1]) ).
fof(f_158_3,plain,
! [U_779,U_778] :
( ! [U_777,U_776] :
( samesideline(U_777,U_776,U_778,U_779)
| ~ samesideline(U_777,U_776,U_779,U_778) )
| U_779 = U_778 ),
inference(miniscope,[status(thm)],[f_158_2]) ).
fof(f_158_4,plain,
! [U_778,U_779,U_776,U_777] :
( samesideline(U_777,U_776,U_778,U_779)
| ~ samesideline(U_777,U_776,U_779,U_778)
| U_779 = U_778 ),
inference(definitional_conversion,[status(esa)],[f_158_3]) ).
cnf(f_158_5,plain,
( samesideline(U_777,U_776,U_778,U_779)
| ~ samesideline(U_777,U_776,U_779,U_778)
| U_779 = U_778 ),
inference(clausify,[status(thm)],[f_158_4]) ).
fof(f_159_1,plain,
! [Xa,Xp,Xq,Xb] :
( opposite(Xb,Xp,Xq,Xa)
| ~ opposite(Xa,Xp,Xq,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz9_2]) ).
fof(f_159_2,plain,
! [U_783,U_782,U_781,U_780] :
( opposite(U_780,U_782,U_781,U_783)
| ~ opposite(U_783,U_782,U_781,U_780) ),
inference(variable_rename,[status(thm)],[f_159_1]) ).
fof(f_159_3,plain,
! [U_781,U_783,U_782,U_780] :
( opposite(U_780,U_782,U_781,U_783)
| ~ opposite(U_783,U_782,U_781,U_780) ),
inference(definitional_conversion,[status(esa)],[f_159_2]) ).
cnf(f_159_4,plain,
( opposite(U_780,U_782,U_781,U_783)
| ~ opposite(U_783,U_782,U_781,U_780) ),
inference(clausify,[status(thm)],[f_159_3]) ).
fof(f_160_1,plain,
! [Xa,Xp,Xq,Xc,Xm,Xr,Xb] :
( ~ s_t(Xr,Xb,Xa)
| opposite(Xb,Xp,Xq,Xc)
| ~ sameside(Xa,Xr,Xb)
| ~ s_col(Xp,Xq,Xr)
| ~ s_m(Xa,Xm,Xc)
| ~ s_col(Xp,Xq,Xm)
| ~ opposite(Xa,Xp,Xq,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz9_3a]) ).
fof(f_160_2,plain,
! [U_790,U_789,U_788,U_787,U_786,U_785,U_784] :
( ~ s_t(U_785,U_784,U_790)
| opposite(U_784,U_789,U_788,U_787)
| ~ sameside(U_790,U_785,U_784)
| ~ s_col(U_789,U_788,U_785)
| ~ s_m(U_790,U_786,U_787)
| ~ s_col(U_789,U_788,U_786)
| ~ opposite(U_790,U_789,U_788,U_787) ),
inference(variable_rename,[status(thm)],[f_160_1]) ).
fof(f_160_3,plain,
! [U_790,U_789,U_788,U_787] :
( ! [U_786] :
( ~ s_m(U_790,U_786,U_787)
| ~ s_col(U_789,U_788,U_786) )
| ! [U_785] :
( ! [U_784] :
( ~ s_t(U_785,U_784,U_790)
| opposite(U_784,U_789,U_788,U_787)
| ~ sameside(U_790,U_785,U_784) )
| ~ s_col(U_789,U_788,U_785) )
| ~ opposite(U_790,U_789,U_788,U_787) ),
inference(miniscope,[status(thm)],[f_160_2]) ).
fof(f_160_4,plain,
! [U_787,U_788,U_785,U_784,U_786,U_789,U_790] :
( ~ s_m(U_790,U_786,U_787)
| ~ s_col(U_789,U_788,U_786)
| ~ s_t(U_785,U_784,U_790)
| opposite(U_784,U_789,U_788,U_787)
| ~ sameside(U_790,U_785,U_784)
| ~ s_col(U_789,U_788,U_785)
| ~ opposite(U_790,U_789,U_788,U_787) ),
inference(definitional_conversion,[status(esa)],[f_160_3]) ).
cnf(f_160_5,plain,
( ~ s_m(U_790,U_786,U_787)
| ~ s_col(U_789,U_788,U_786)
| ~ s_t(U_785,U_784,U_790)
| opposite(U_784,U_789,U_788,U_787)
| ~ sameside(U_790,U_785,U_784)
| ~ s_col(U_789,U_788,U_785)
| ~ opposite(U_790,U_789,U_788,U_787) ),
inference(clausify,[status(thm)],[f_160_4]) ).
fof(f_161_1,plain,
! [Xa,Xp,Xq,Xc,Xm,Xr,Xb] :
( opposite(Xb,Xp,Xq,Xc)
| ~ sameside(Xa,Xr,Xb)
| ~ s_col(Xp,Xq,Xr)
| ~ s_m(Xa,Xm,Xc)
| ~ s_col(Xp,Xq,Xm)
| ~ opposite(Xa,Xp,Xq,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz9_3]) ).
fof(f_161_2,plain,
! [U_797,U_796,U_795,U_794,U_793,U_792,U_791] :
( opposite(U_791,U_796,U_795,U_794)
| ~ sameside(U_797,U_792,U_791)
| ~ s_col(U_796,U_795,U_792)
| ~ s_m(U_797,U_793,U_794)
| ~ s_col(U_796,U_795,U_793)
| ~ opposite(U_797,U_796,U_795,U_794) ),
inference(variable_rename,[status(thm)],[f_161_1]) ).
fof(f_161_3,plain,
! [U_797,U_796,U_795,U_794] :
( ! [U_793] :
( ~ s_m(U_797,U_793,U_794)
| ~ s_col(U_796,U_795,U_793) )
| ! [U_792] :
( ! [U_791] :
( opposite(U_791,U_796,U_795,U_794)
| ~ sameside(U_797,U_792,U_791) )
| ~ s_col(U_796,U_795,U_792) )
| ~ opposite(U_797,U_796,U_795,U_794) ),
inference(miniscope,[status(thm)],[f_161_2]) ).
fof(f_161_4,plain,
! [U_795,U_793,U_791,U_796,U_794,U_792,U_797] :
( ~ s_m(U_797,U_793,U_794)
| ~ s_col(U_796,U_795,U_793)
| opposite(U_791,U_796,U_795,U_794)
| ~ sameside(U_797,U_792,U_791)
| ~ s_col(U_796,U_795,U_792)
| ~ opposite(U_797,U_796,U_795,U_794) ),
inference(definitional_conversion,[status(esa)],[f_161_3]) ).
cnf(f_161_5,plain,
( ~ s_m(U_797,U_793,U_794)
| ~ s_col(U_796,U_795,U_793)
| opposite(U_791,U_796,U_795,U_794)
| ~ sameside(U_797,U_792,U_791)
| ~ s_col(U_796,U_795,U_792)
| ~ opposite(U_797,U_796,U_795,U_794) ),
inference(clausify,[status(thm)],[f_161_4]) ).
fof(f_162_1,plain,
! [Xa,Xb,Xc,Xm] :
( sameside(s(Xm,Xa),s(Xm,Xb),s(Xm,Xc))
| ~ sameside(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSideReflect]) ).
fof(f_162_2,plain,
! [U_801,U_800,U_799,U_798] :
( sameside(s(U_798,U_801),s(U_798,U_800),s(U_798,U_799))
| ~ sameside(U_801,U_800,U_799) ),
inference(variable_rename,[status(thm)],[f_162_1]) ).
fof(f_162_3,plain,
! [U_801,U_800,U_799] :
( ! [U_798] : sameside(s(U_798,U_801),s(U_798,U_800),s(U_798,U_799))
| ~ sameside(U_801,U_800,U_799) ),
inference(miniscope,[status(thm)],[f_162_2]) ).
fof(f_162_4,plain,
! [U_800,U_801,U_798,U_799] :
( sameside(s(U_798,U_801),s(U_798,U_800),s(U_798,U_799))
| ~ sameside(U_801,U_800,U_799) ),
inference(definitional_conversion,[status(esa)],[f_162_3]) ).
cnf(f_162_5,plain,
( sameside(s(U_798,U_801),s(U_798,U_800),s(U_798,U_799))
| ~ sameside(U_801,U_800,U_799) ),
inference(clausify,[status(thm)],[f_162_4]) ).
fof(f_163_1,plain,
! [Xa,Xp,Xq,Xc,Xcs,Xr,Xm,U] :
( sameside(s(Xm,U),Xcs,Xc)
| Xr = Xcs
| ~ le(Xcs,Xc,Xr,Xa)
| ~ sameside(U,Xr,Xa)
| ~ s_m(Xr,Xm,Xcs)
| ~ perp(Xp,Xq,Xc,Xcs)
| ~ perp(Xp,Xq,Xa,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xp = Xq
| ~ opposite(Xa,Xp,Xq,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz9_4a]) ).
fof(f_163_2,plain,
! [U_809,U_808,U_807,U_806,U_805,U_804,U_803,U_802] :
( sameside(s(U_803,U_802),U_805,U_806)
| U_804 = U_805
| ~ le(U_805,U_806,U_804,U_809)
| ~ sameside(U_802,U_804,U_809)
| ~ s_m(U_804,U_803,U_805)
| ~ perp(U_808,U_807,U_806,U_805)
| ~ perp(U_808,U_807,U_809,U_804)
| ~ s_col(U_808,U_807,U_804)
| ~ s_col(U_808,U_807,U_805)
| U_808 = U_807
| ~ opposite(U_809,U_808,U_807,U_806) ),
inference(variable_rename,[status(thm)],[f_163_1]) ).
fof(f_163_3,plain,
! [U_809,U_808,U_807] :
( ! [U_806] :
( ! [U_805] :
( ! [U_804] :
( ! [U_803] :
( ! [U_802] :
( sameside(s(U_803,U_802),U_805,U_806)
| ~ sameside(U_802,U_804,U_809) )
| ~ s_m(U_804,U_803,U_805) )
| U_804 = U_805
| ~ le(U_805,U_806,U_804,U_809)
| ~ perp(U_808,U_807,U_809,U_804)
| ~ s_col(U_808,U_807,U_804) )
| ~ perp(U_808,U_807,U_806,U_805)
| ~ s_col(U_808,U_807,U_805) )
| ~ opposite(U_809,U_808,U_807,U_806) )
| U_808 = U_807 ),
inference(miniscope,[status(thm)],[f_163_2]) ).
fof(f_163_4,plain,
! [U_802,U_803,U_804,U_805,U_806,U_807,U_808,U_809] :
( sameside(s(U_803,U_802),U_805,U_806)
| ~ sameside(U_802,U_804,U_809)
| ~ s_m(U_804,U_803,U_805)
| U_804 = U_805
| ~ le(U_805,U_806,U_804,U_809)
| ~ perp(U_808,U_807,U_809,U_804)
| ~ s_col(U_808,U_807,U_804)
| ~ perp(U_808,U_807,U_806,U_805)
| ~ s_col(U_808,U_807,U_805)
| ~ opposite(U_809,U_808,U_807,U_806)
| U_808 = U_807 ),
inference(definitional_conversion,[status(esa)],[f_163_3]) ).
cnf(f_163_5,plain,
( sameside(s(U_803,U_802),U_805,U_806)
| ~ sameside(U_802,U_804,U_809)
| ~ s_m(U_804,U_803,U_805)
| U_804 = U_805
| ~ le(U_805,U_806,U_804,U_809)
| ~ perp(U_808,U_807,U_809,U_804)
| ~ s_col(U_808,U_807,U_804)
| ~ perp(U_808,U_807,U_806,U_805)
| ~ s_col(U_808,U_807,U_805)
| ~ opposite(U_809,U_808,U_807,U_806)
| U_808 = U_807 ),
inference(clausify,[status(thm)],[f_163_4]) ).
fof(f_164_1,plain,
! [Xa,Xp,Xq,Xc,Xcs,Xr,Xm,U] :
( ~ sameside(s(Xm,U),Xcs,Xc)
| Xr = Xcs
| ~ le(Xcs,Xc,Xr,Xa)
| sameside(U,Xr,Xa)
| ~ s_m(Xr,Xm,Xcs)
| ~ perp(Xp,Xq,Xc,Xcs)
| ~ perp(Xp,Xq,Xa,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xp = Xq
| ~ opposite(Xa,Xp,Xq,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz9_4a2]) ).
fof(f_164_2,plain,
! [U_817,U_816,U_815,U_814,U_813,U_812,U_811,U_810] :
( ~ sameside(s(U_811,U_810),U_813,U_814)
| U_812 = U_813
| ~ le(U_813,U_814,U_812,U_817)
| sameside(U_810,U_812,U_817)
| ~ s_m(U_812,U_811,U_813)
| ~ perp(U_816,U_815,U_814,U_813)
| ~ perp(U_816,U_815,U_817,U_812)
| ~ s_col(U_816,U_815,U_812)
| ~ s_col(U_816,U_815,U_813)
| U_816 = U_815
| ~ opposite(U_817,U_816,U_815,U_814) ),
inference(variable_rename,[status(thm)],[f_164_1]) ).
fof(f_164_3,plain,
! [U_817,U_816,U_815] :
( ! [U_814] :
( ! [U_813] :
( ! [U_812] :
( ! [U_811] :
( ! [U_810] :
( ~ sameside(s(U_811,U_810),U_813,U_814)
| sameside(U_810,U_812,U_817) )
| ~ s_m(U_812,U_811,U_813) )
| U_812 = U_813
| ~ le(U_813,U_814,U_812,U_817)
| ~ perp(U_816,U_815,U_817,U_812)
| ~ s_col(U_816,U_815,U_812) )
| ~ perp(U_816,U_815,U_814,U_813)
| ~ s_col(U_816,U_815,U_813) )
| ~ opposite(U_817,U_816,U_815,U_814) )
| U_816 = U_815 ),
inference(miniscope,[status(thm)],[f_164_2]) ).
fof(f_164_4,plain,
! [U_812,U_815,U_810,U_813,U_817,U_814,U_811,U_816] :
( ~ sameside(s(U_811,U_810),U_813,U_814)
| sameside(U_810,U_812,U_817)
| ~ s_m(U_812,U_811,U_813)
| U_812 = U_813
| ~ le(U_813,U_814,U_812,U_817)
| ~ perp(U_816,U_815,U_817,U_812)
| ~ s_col(U_816,U_815,U_812)
| ~ perp(U_816,U_815,U_814,U_813)
| ~ s_col(U_816,U_815,U_813)
| ~ opposite(U_817,U_816,U_815,U_814)
| U_816 = U_815 ),
inference(definitional_conversion,[status(esa)],[f_164_3]) ).
cnf(f_164_5,plain,
( ~ sameside(s(U_811,U_810),U_813,U_814)
| sameside(U_810,U_812,U_817)
| ~ s_m(U_812,U_811,U_813)
| U_812 = U_813
| ~ le(U_813,U_814,U_812,U_817)
| ~ perp(U_816,U_815,U_817,U_812)
| ~ s_col(U_816,U_815,U_812)
| ~ perp(U_816,U_815,U_814,U_813)
| ~ s_col(U_816,U_815,U_813)
| ~ opposite(U_817,U_816,U_815,U_814)
| U_816 = U_815 ),
inference(clausify,[status(thm)],[f_164_4]) ).
fof(f_165_1,plain,
! [Xa,Xp,Xq,Xc,Xcs,Xr,Xm,U] :
( sameside(s(Xm,U),Xcs,Xc)
| Xr != Xcs
| ~ sameside(U,Xr,Xa)
| ~ s_m(Xr,Xm,Xcs)
| ~ perp(Xp,Xq,Xc,Xcs)
| ~ perp(Xp,Xq,Xa,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xp = Xq
| ~ opposite(Xa,Xp,Xq,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz9_4b]) ).
fof(f_165_2,plain,
! [U_825,U_824,U_823,U_822,U_821,U_820,U_819,U_818] :
( sameside(s(U_819,U_818),U_821,U_822)
| U_820 != U_821
| ~ sameside(U_818,U_820,U_825)
| ~ s_m(U_820,U_819,U_821)
| ~ perp(U_824,U_823,U_822,U_821)
| ~ perp(U_824,U_823,U_825,U_820)
| ~ s_col(U_824,U_823,U_820)
| ~ s_col(U_824,U_823,U_821)
| U_824 = U_823
| ~ opposite(U_825,U_824,U_823,U_822) ),
inference(variable_rename,[status(thm)],[f_165_1]) ).
fof(f_165_3,plain,
! [U_825,U_824,U_823] :
( ! [U_822] :
( ! [U_821] :
( ! [U_820] :
( ! [U_819] :
( ! [U_818] :
( sameside(s(U_819,U_818),U_821,U_822)
| ~ sameside(U_818,U_820,U_825) )
| ~ s_m(U_820,U_819,U_821) )
| U_820 != U_821
| ~ perp(U_824,U_823,U_825,U_820)
| ~ s_col(U_824,U_823,U_820) )
| ~ perp(U_824,U_823,U_822,U_821)
| ~ s_col(U_824,U_823,U_821) )
| ~ opposite(U_825,U_824,U_823,U_822) )
| U_824 = U_823 ),
inference(miniscope,[status(thm)],[f_165_2]) ).
fof(f_165_4,plain,
! [U_819,U_824,U_825,U_818,U_823,U_820,U_822,U_821] :
( sameside(s(U_819,U_818),U_821,U_822)
| ~ sameside(U_818,U_820,U_825)
| ~ s_m(U_820,U_819,U_821)
| U_820 != U_821
| ~ perp(U_824,U_823,U_825,U_820)
| ~ s_col(U_824,U_823,U_820)
| ~ perp(U_824,U_823,U_822,U_821)
| ~ s_col(U_824,U_823,U_821)
| ~ opposite(U_825,U_824,U_823,U_822)
| U_824 = U_823 ),
inference(definitional_conversion,[status(esa)],[f_165_3]) ).
cnf(f_165_5,plain,
( sameside(s(U_819,U_818),U_821,U_822)
| ~ sameside(U_818,U_820,U_825)
| ~ s_m(U_820,U_819,U_821)
| U_820 != U_821
| ~ perp(U_824,U_823,U_825,U_820)
| ~ s_col(U_824,U_823,U_820)
| ~ perp(U_824,U_823,U_822,U_821)
| ~ s_col(U_824,U_823,U_821)
| ~ opposite(U_825,U_824,U_823,U_822)
| U_824 = U_823 ),
inference(clausify,[status(thm)],[f_165_4]) ).
fof(f_166_1,plain,
! [Xa,Xp,Xq,Xc,Xcs,Xr,Xm,U] :
( sameside(s(Xm,U),Xcs,Xc)
| ~ sameside(U,Xr,Xa)
| ~ s_m(Xr,Xm,Xcs)
| ~ perp(Xp,Xq,Xc,Xcs)
| ~ perp(Xp,Xq,Xa,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xp = Xq
| ~ opposite(Xa,Xp,Xq,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz9_4]) ).
fof(f_166_2,plain,
! [U_833,U_832,U_831,U_830,U_829,U_828,U_827,U_826] :
( sameside(s(U_827,U_826),U_829,U_830)
| ~ sameside(U_826,U_828,U_833)
| ~ s_m(U_828,U_827,U_829)
| ~ perp(U_832,U_831,U_830,U_829)
| ~ perp(U_832,U_831,U_833,U_828)
| ~ s_col(U_832,U_831,U_828)
| ~ s_col(U_832,U_831,U_829)
| U_832 = U_831
| ~ opposite(U_833,U_832,U_831,U_830) ),
inference(variable_rename,[status(thm)],[f_166_1]) ).
fof(f_166_3,plain,
! [U_833,U_832,U_831] :
( ! [U_830] :
( ! [U_829] :
( ! [U_828] :
( ! [U_827] :
( ! [U_826] :
( sameside(s(U_827,U_826),U_829,U_830)
| ~ sameside(U_826,U_828,U_833) )
| ~ s_m(U_828,U_827,U_829) )
| ~ perp(U_832,U_831,U_833,U_828)
| ~ s_col(U_832,U_831,U_828) )
| ~ perp(U_832,U_831,U_830,U_829)
| ~ s_col(U_832,U_831,U_829) )
| ~ opposite(U_833,U_832,U_831,U_830) )
| U_832 = U_831 ),
inference(miniscope,[status(thm)],[f_166_2]) ).
fof(f_166_4,plain,
! [U_832,U_828,U_827,U_833,U_826,U_831,U_829,U_830] :
( sameside(s(U_827,U_826),U_829,U_830)
| ~ sameside(U_826,U_828,U_833)
| ~ s_m(U_828,U_827,U_829)
| ~ perp(U_832,U_831,U_833,U_828)
| ~ s_col(U_832,U_831,U_828)
| ~ perp(U_832,U_831,U_830,U_829)
| ~ s_col(U_832,U_831,U_829)
| ~ opposite(U_833,U_832,U_831,U_830)
| U_832 = U_831 ),
inference(definitional_conversion,[status(esa)],[f_166_3]) ).
cnf(f_166_5,plain,
( sameside(s(U_827,U_826),U_829,U_830)
| ~ sameside(U_826,U_828,U_833)
| ~ s_m(U_828,U_827,U_829)
| ~ perp(U_832,U_831,U_833,U_828)
| ~ s_col(U_832,U_831,U_828)
| ~ perp(U_832,U_831,U_830,U_829)
| ~ s_col(U_832,U_831,U_829)
| ~ opposite(U_833,U_832,U_831,U_830)
| U_832 = U_831 ),
inference(clausify,[status(thm)],[f_166_4]) ).
fof(f_167_1,plain,
! [Xa,Xp,Xq,Xc,Xcs,Xr,Xm,U,V] :
( opposite(U,Xp,Xq,V)
| ~ sameside(V,Xcs,Xc)
| ~ sameside(U,Xr,Xa)
| ~ s_m(Xr,Xm,Xcs)
| ~ perp(Xp,Xq,Xc,Xcs)
| ~ perp(Xp,Xq,Xa,Xr)
| ~ s_col(Xp,Xq,Xr)
| ~ s_col(Xp,Xq,Xcs)
| Xp = Xq
| ~ opposite(Xa,Xp,Xq,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz9_4c]) ).
fof(f_167_2,plain,
! [U_842,U_841,U_840,U_839,U_838,U_837,U_836,U_835,U_834] :
( opposite(U_835,U_841,U_840,U_834)
| ~ sameside(U_834,U_838,U_839)
| ~ sameside(U_835,U_837,U_842)
| ~ s_m(U_837,U_836,U_838)
| ~ perp(U_841,U_840,U_839,U_838)
| ~ perp(U_841,U_840,U_842,U_837)
| ~ s_col(U_841,U_840,U_837)
| ~ s_col(U_841,U_840,U_838)
| U_841 = U_840
| ~ opposite(U_842,U_841,U_840,U_839) ),
inference(variable_rename,[status(thm)],[f_167_1]) ).
fof(f_167_3,plain,
! [U_842,U_841,U_840] :
( ! [U_839] :
( ! [U_838] :
( ! [U_837] :
( ! [U_836] : ~ s_m(U_837,U_836,U_838)
| ! [U_835] :
( ! [U_834] :
( opposite(U_835,U_841,U_840,U_834)
| ~ sameside(U_834,U_838,U_839) )
| ~ sameside(U_835,U_837,U_842) )
| ~ perp(U_841,U_840,U_842,U_837)
| ~ s_col(U_841,U_840,U_837) )
| ~ perp(U_841,U_840,U_839,U_838)
| ~ s_col(U_841,U_840,U_838) )
| ~ opposite(U_842,U_841,U_840,U_839) )
| U_841 = U_840 ),
inference(miniscope,[status(thm)],[f_167_2]) ).
fof(f_167_4,plain,
! [U_842,U_840,U_834,U_837,U_835,U_838,U_836,U_841,U_839] :
( ~ s_m(U_837,U_836,U_838)
| opposite(U_835,U_841,U_840,U_834)
| ~ sameside(U_834,U_838,U_839)
| ~ sameside(U_835,U_837,U_842)
| ~ perp(U_841,U_840,U_842,U_837)
| ~ s_col(U_841,U_840,U_837)
| ~ perp(U_841,U_840,U_839,U_838)
| ~ s_col(U_841,U_840,U_838)
| ~ opposite(U_842,U_841,U_840,U_839)
| U_841 = U_840 ),
inference(definitional_conversion,[status(esa)],[f_167_3]) ).
cnf(f_167_5,plain,
( ~ s_m(U_837,U_836,U_838)
| opposite(U_835,U_841,U_840,U_834)
| ~ sameside(U_834,U_838,U_839)
| ~ sameside(U_835,U_837,U_842)
| ~ perp(U_841,U_840,U_842,U_837)
| ~ s_col(U_841,U_840,U_837)
| ~ perp(U_841,U_840,U_839,U_838)
| ~ s_col(U_841,U_840,U_838)
| ~ opposite(U_842,U_841,U_840,U_839)
| U_841 = U_840 ),
inference(clausify,[status(thm)],[f_167_4]) ).
fof(f_168_1,plain,
! [Xa,Xp,Xq,Xc,Xr,Xb] :
( opposite(Xb,Xp,Xq,Xc)
| ~ sameside(Xa,Xr,Xb)
| ~ s_col(Xp,Xq,Xr)
| ~ opposite(Xa,Xp,Xq,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz9_5]) ).
fof(f_168_2,plain,
! [U_848,U_847,U_846,U_845,U_844,U_843] :
( opposite(U_843,U_847,U_846,U_845)
| ~ sameside(U_848,U_844,U_843)
| ~ s_col(U_847,U_846,U_844)
| ~ opposite(U_848,U_847,U_846,U_845) ),
inference(variable_rename,[status(thm)],[f_168_1]) ).
fof(f_168_3,plain,
! [U_848,U_847,U_846,U_845] :
( ! [U_844] :
( ! [U_843] :
( opposite(U_843,U_847,U_846,U_845)
| ~ sameside(U_848,U_844,U_843) )
| ~ s_col(U_847,U_846,U_844) )
| ~ opposite(U_848,U_847,U_846,U_845) ),
inference(miniscope,[status(thm)],[f_168_2]) ).
fof(f_168_4,plain,
! [U_848,U_845,U_846,U_843,U_844,U_847] :
( opposite(U_843,U_847,U_846,U_845)
| ~ sameside(U_848,U_844,U_843)
| ~ s_col(U_847,U_846,U_844)
| ~ opposite(U_848,U_847,U_846,U_845) ),
inference(definitional_conversion,[status(esa)],[f_168_3]) ).
cnf(f_168_5,plain,
( opposite(U_843,U_847,U_846,U_845)
| ~ sameside(U_848,U_844,U_843)
| ~ s_col(U_847,U_846,U_844)
| ~ opposite(U_848,U_847,U_846,U_845) ),
inference(clausify,[status(thm)],[f_168_4]) ).
fof(f_169_1,plain,
! [Xa,Xc,Xp,Xb,Xq] :
( ( s_t(Xp,Xq,op(Xq,Xb,Xp,Xc,Xa))
| ~ s_t(Xb,Xq,Xc)
| ~ s_t(Xa,Xc,Xp) )
& ( s_t(Xa,op(Xq,Xb,Xp,Xc,Xa),Xb)
| ~ s_t(Xb,Xq,Xc)
| ~ s_t(Xa,Xc,Xp) ) ),
inference(fof_nnf,[status(thm)],[aSatz9_6]) ).
fof(f_169_2,plain,
! [U_853,U_852,U_851,U_850,U_849] :
( ( s_t(U_851,U_849,op(U_849,U_850,U_851,U_852,U_853))
| ~ s_t(U_850,U_849,U_852)
| ~ s_t(U_853,U_852,U_851) )
& ( s_t(U_853,op(U_849,U_850,U_851,U_852,U_853),U_850)
| ~ s_t(U_850,U_849,U_852)
| ~ s_t(U_853,U_852,U_851) ) ),
inference(variable_rename,[status(thm)],[f_169_1]) ).
fof(f_169_3,plain,
( ! [U_863,U_861,U_859] :
( ! [U_857,U_855] :
( s_t(U_859,U_855,op(U_855,U_857,U_859,U_861,U_863))
| ~ s_t(U_857,U_855,U_861) )
| ~ s_t(U_863,U_861,U_859) )
& ! [U_862,U_860,U_858] :
( ! [U_856,U_854] :
( s_t(U_862,op(U_854,U_856,U_858,U_860,U_862),U_856)
| ~ s_t(U_856,U_854,U_860) )
| ~ s_t(U_862,U_860,U_858) ) ),
inference(miniscope,[status(thm)],[f_169_2]) ).
fof(f_169_4,plain,
( ! [U_855,U_857,U_859,U_863,U_861] :
( s_t(U_859,U_855,op(U_855,U_857,U_859,U_861,U_863))
| ~ s_t(U_857,U_855,U_861)
| ~ s_t(U_863,U_861,U_859) )
& ! [U_862,U_860,U_854,U_856,U_858] :
( s_t(U_862,op(U_854,U_856,U_858,U_860,U_862),U_856)
| ~ s_t(U_856,U_854,U_860)
| ~ s_t(U_862,U_860,U_858) ) ),
inference(definitional_conversion,[status(esa)],[f_169_3]) ).
cnf(f_169_5,plain,
( s_t(U_862,op(U_854,U_856,U_858,U_860,U_862),U_856)
| ~ s_t(U_856,U_854,U_860)
| ~ s_t(U_862,U_860,U_858) ),
inference(clausify,[status(thm)],[f_169_4]) ).
cnf(f_169_6,plain,
( s_t(U_859,U_855,op(U_855,U_857,U_859,U_861,U_863))
| ~ s_t(U_857,U_855,U_861)
| ~ s_t(U_863,U_861,U_859) ),
inference(clausify,[status(thm)],[f_169_4]) ).
fof(f_170_1,plain,
! [Xa,Xp,Xq,Xc,Xb] :
( ~ samesideline(Xa,Xb,Xp,Xq)
| opposite(Xb,Xp,Xq,Xc)
| ~ opposite(Xa,Xp,Xq,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz9_8]) ).
fof(f_170_2,plain,
! [U_868,U_867,U_866,U_865,U_864] :
( ~ samesideline(U_868,U_864,U_867,U_866)
| opposite(U_864,U_867,U_866,U_865)
| ~ opposite(U_868,U_867,U_866,U_865) ),
inference(variable_rename,[status(thm)],[f_170_1]) ).
fof(f_170_3,plain,
! [U_868,U_867,U_866,U_865] :
( ! [U_864] :
( ~ samesideline(U_868,U_864,U_867,U_866)
| opposite(U_864,U_867,U_866,U_865) )
| ~ opposite(U_868,U_867,U_866,U_865) ),
inference(miniscope,[status(thm)],[f_170_2]) ).
fof(f_170_4,plain,
! [U_868,U_866,U_864,U_865,U_867] :
( ~ samesideline(U_868,U_864,U_867,U_866)
| opposite(U_864,U_867,U_866,U_865)
| ~ opposite(U_868,U_867,U_866,U_865) ),
inference(definitional_conversion,[status(esa)],[f_170_3]) ).
cnf(f_170_5,plain,
( ~ samesideline(U_868,U_864,U_867,U_866)
| opposite(U_864,U_867,U_866,U_865)
| ~ opposite(U_868,U_867,U_866,U_865) ),
inference(clausify,[status(thm)],[f_170_4]) ).
fof(f_171_1,plain,
! [Xa,Xp,Xq,Xb] :
( ~ samesideline(Xa,Xb,Xp,Xq)
| ~ opposite(Xa,Xp,Xq,Xb) ),
inference(fof_nnf,[status(thm)],[aSatz9_9]) ).
fof(f_171_2,plain,
! [U_872,U_871,U_870,U_869] :
( ~ samesideline(U_872,U_869,U_871,U_870)
| ~ opposite(U_872,U_871,U_870,U_869) ),
inference(variable_rename,[status(thm)],[f_171_1]) ).
fof(f_171_3,plain,
! [U_870,U_869,U_872,U_871] :
( ~ samesideline(U_872,U_869,U_871,U_870)
| ~ opposite(U_872,U_871,U_870,U_869) ),
inference(definitional_conversion,[status(esa)],[f_171_2]) ).
cnf(f_171_4,plain,
( ~ samesideline(U_872,U_869,U_871,U_870)
| ~ opposite(U_872,U_871,U_870,U_869) ),
inference(clausify,[status(thm)],[f_171_3]) ).
fof(f_172_1,plain,
! [Xp,Xq,Xa,Xb,Xc] :
( samesideline(Xa,Xc,Xp,Xq)
| ~ samesideline(Xb,Xc,Xp,Xq)
| ~ samesideline(Xa,Xb,Xp,Xq)
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aSatz9_13]) ).
fof(f_172_2,plain,
! [U_877,U_876,U_875,U_874,U_873] :
( samesideline(U_875,U_873,U_877,U_876)
| ~ samesideline(U_874,U_873,U_877,U_876)
| ~ samesideline(U_875,U_874,U_877,U_876)
| U_877 = U_876 ),
inference(variable_rename,[status(thm)],[f_172_1]) ).
fof(f_172_3,plain,
! [U_877,U_876] :
( ! [U_875,U_874] :
( ! [U_873] :
( samesideline(U_875,U_873,U_877,U_876)
| ~ samesideline(U_874,U_873,U_877,U_876) )
| ~ samesideline(U_875,U_874,U_877,U_876) )
| U_877 = U_876 ),
inference(miniscope,[status(thm)],[f_172_2]) ).
fof(f_172_4,plain,
! [U_874,U_873,U_875,U_876,U_877] :
( samesideline(U_875,U_873,U_877,U_876)
| ~ samesideline(U_874,U_873,U_877,U_876)
| ~ samesideline(U_875,U_874,U_877,U_876)
| U_877 = U_876 ),
inference(definitional_conversion,[status(esa)],[f_172_3]) ).
cnf(f_172_5,plain,
( samesideline(U_875,U_873,U_877,U_876)
| ~ samesideline(U_874,U_873,U_877,U_876)
| ~ samesideline(U_875,U_874,U_877,U_876)
| U_877 = U_876 ),
inference(clausify,[status(thm)],[f_172_4]) ).
fof(f_173_1,plain,
! [Xp,Xq,Xa,Xb] :
( samesideline(Xp,Xq,Xb,Xa)
| ~ samesideline(Xp,Xq,Xa,Xb) ),
inference(fof_nnf,[status(thm)],[aLemma9_13a]) ).
fof(f_173_2,plain,
! [U_881,U_880,U_879,U_878] :
( samesideline(U_881,U_880,U_878,U_879)
| ~ samesideline(U_881,U_880,U_879,U_878) ),
inference(variable_rename,[status(thm)],[f_173_1]) ).
fof(f_173_3,plain,
! [U_881,U_879,U_878,U_880] :
( samesideline(U_881,U_880,U_878,U_879)
| ~ samesideline(U_881,U_880,U_879,U_878) ),
inference(definitional_conversion,[status(esa)],[f_173_2]) ).
cnf(f_173_4,plain,
( samesideline(U_881,U_880,U_878,U_879)
| ~ samesideline(U_881,U_880,U_879,U_878) ),
inference(clausify,[status(thm)],[f_173_3]) ).
fof(f_174_1,plain,
! [Xa,Xb,U,V,W] :
( s_col(Xa,Xb,V)
| ~ s_col(Xa,Xb,W)
| ~ s_col(Xa,Xb,U)
| ~ s_m(U,V,W)
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aLemma9_13b]) ).
fof(f_174_2,plain,
! [U_886,U_885,U_884,U_883,U_882] :
( s_col(U_886,U_885,U_883)
| ~ s_col(U_886,U_885,U_882)
| ~ s_col(U_886,U_885,U_884)
| ~ s_m(U_884,U_883,U_882)
| U_886 = U_885 ),
inference(variable_rename,[status(thm)],[f_174_1]) ).
fof(f_174_3,plain,
! [U_886,U_885] :
( ! [U_884] :
( ! [U_883] :
( ! [U_882] :
( ~ s_col(U_886,U_885,U_882)
| ~ s_m(U_884,U_883,U_882) )
| s_col(U_886,U_885,U_883) )
| ~ s_col(U_886,U_885,U_884) )
| U_886 = U_885 ),
inference(miniscope,[status(thm)],[f_174_2]) ).
fof(f_174_4,plain,
! [U_885,U_882,U_883,U_884,U_886] :
( ~ s_col(U_886,U_885,U_882)
| ~ s_m(U_884,U_883,U_882)
| s_col(U_886,U_885,U_883)
| ~ s_col(U_886,U_885,U_884)
| U_886 = U_885 ),
inference(definitional_conversion,[status(esa)],[f_174_3]) ).
cnf(f_174_5,plain,
( ~ s_col(U_886,U_885,U_882)
| ~ s_m(U_884,U_883,U_882)
| s_col(U_886,U_885,U_883)
| ~ s_col(U_886,U_885,U_884)
| U_886 = U_885 ),
inference(clausify,[status(thm)],[f_174_4]) ).
fof(f_175_1,plain,
! [Xd,Xe,Xd1,Xa,Xb] :
( samesideline(Xa,Xb,Xd,Xe)
| ~ samesideline(Xa,Xb,Xd1,Xe)
| ~ s_t(Xe,Xd,Xd1)
| Xd = Xe ),
inference(fof_nnf,[status(thm)],[aLemma9_13c]) ).
fof(f_175_2,plain,
! [U_891,U_890,U_889,U_888,U_887] :
( samesideline(U_888,U_887,U_891,U_890)
| ~ samesideline(U_888,U_887,U_889,U_890)
| ~ s_t(U_890,U_891,U_889)
| U_891 = U_890 ),
inference(variable_rename,[status(thm)],[f_175_1]) ).
fof(f_175_3,plain,
! [U_891,U_890] :
( ! [U_889] :
( ! [U_888,U_887] :
( samesideline(U_888,U_887,U_891,U_890)
| ~ samesideline(U_888,U_887,U_889,U_890) )
| ~ s_t(U_890,U_891,U_889) )
| U_891 = U_890 ),
inference(miniscope,[status(thm)],[f_175_2]) ).
fof(f_175_4,plain,
! [U_887,U_891,U_888,U_889,U_890] :
( samesideline(U_888,U_887,U_891,U_890)
| ~ samesideline(U_888,U_887,U_889,U_890)
| ~ s_t(U_890,U_891,U_889)
| U_891 = U_890 ),
inference(definitional_conversion,[status(esa)],[f_175_3]) ).
cnf(f_175_5,plain,
( samesideline(U_888,U_887,U_891,U_890)
| ~ samesideline(U_888,U_887,U_889,U_890)
| ~ s_t(U_890,U_891,U_889)
| U_891 = U_890 ),
inference(clausify,[status(thm)],[f_175_4]) ).
fof(f_176_1,plain,
! [Xa,Xb,Xp,Xq] :
( samesideline(Xq,Xp,Xa,Xb)
| ~ samesideline(Xp,Xq,Xa,Xb)
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aLemma9_13d]) ).
fof(f_176_2,plain,
! [U_895,U_894,U_893,U_892] :
( samesideline(U_892,U_893,U_895,U_894)
| ~ samesideline(U_893,U_892,U_895,U_894)
| U_895 = U_894 ),
inference(variable_rename,[status(thm)],[f_176_1]) ).
fof(f_176_3,plain,
! [U_895,U_894] :
( ! [U_893,U_892] :
( samesideline(U_892,U_893,U_895,U_894)
| ~ samesideline(U_893,U_892,U_895,U_894) )
| U_895 = U_894 ),
inference(miniscope,[status(thm)],[f_176_2]) ).
fof(f_176_4,plain,
! [U_895,U_893,U_892,U_894] :
( samesideline(U_892,U_893,U_895,U_894)
| ~ samesideline(U_893,U_892,U_895,U_894)
| U_895 = U_894 ),
inference(definitional_conversion,[status(esa)],[f_176_3]) ).
cnf(f_176_5,plain,
( samesideline(U_892,U_893,U_895,U_894)
| ~ samesideline(U_893,U_892,U_895,U_894)
| U_895 = U_894 ),
inference(clausify,[status(thm)],[f_176_4]) ).
fof(f_177_1,plain,
! [Xa,Xp,Xq,Xb,Xc] :
( opposite(Xa,Xp,Xq,Xc)
| ~ samesideline(Xb,Xc,Xp,Xq)
| ~ opposite(Xa,Xp,Xq,Xb) ),
inference(fof_nnf,[status(thm)],[aLemma9_13e]) ).
fof(f_177_2,plain,
! [U_900,U_899,U_898,U_897,U_896] :
( opposite(U_900,U_899,U_898,U_896)
| ~ samesideline(U_897,U_896,U_899,U_898)
| ~ opposite(U_900,U_899,U_898,U_897) ),
inference(variable_rename,[status(thm)],[f_177_1]) ).
fof(f_177_3,plain,
! [U_900,U_899,U_898,U_897] :
( ! [U_896] :
( opposite(U_900,U_899,U_898,U_896)
| ~ samesideline(U_897,U_896,U_899,U_898) )
| ~ opposite(U_900,U_899,U_898,U_897) ),
inference(miniscope,[status(thm)],[f_177_2]) ).
fof(f_177_4,plain,
! [U_899,U_898,U_900,U_896,U_897] :
( opposite(U_900,U_899,U_898,U_896)
| ~ samesideline(U_897,U_896,U_899,U_898)
| ~ opposite(U_900,U_899,U_898,U_897) ),
inference(definitional_conversion,[status(esa)],[f_177_3]) ).
cnf(f_177_5,plain,
( opposite(U_900,U_899,U_898,U_896)
| ~ samesideline(U_897,U_896,U_899,U_898)
| ~ opposite(U_900,U_899,U_898,U_897) ),
inference(clausify,[status(thm)],[f_177_4]) ).
fof(f_178_1,plain,
! [Xp,Xq,Xc,Xa,Xb] :
( s_col(Xc,Xa,Xb)
| Xa = Xc
| ~ perpAt(Xp,Xq,Xc,Xb,Xc)
| ~ perpAt(Xp,Xq,Xc,Xa,Xc)
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aLemma9_13g]) ).
fof(f_178_2,plain,
! [U_905,U_904,U_903,U_902,U_901] :
( s_col(U_903,U_902,U_901)
| U_902 = U_903
| ~ perpAt(U_905,U_904,U_903,U_901,U_903)
| ~ perpAt(U_905,U_904,U_903,U_902,U_903)
| U_905 = U_904 ),
inference(variable_rename,[status(thm)],[f_178_1]) ).
fof(f_178_3,plain,
! [U_905,U_904] :
( ! [U_903,U_902] :
( ! [U_901] :
( s_col(U_903,U_902,U_901)
| ~ perpAt(U_905,U_904,U_903,U_901,U_903) )
| U_902 = U_903
| ~ perpAt(U_905,U_904,U_903,U_902,U_903) )
| U_905 = U_904 ),
inference(miniscope,[status(thm)],[f_178_2]) ).
fof(f_178_4,plain,
! [U_903,U_902,U_905,U_904,U_901] :
( s_col(U_903,U_902,U_901)
| ~ perpAt(U_905,U_904,U_903,U_901,U_903)
| U_902 = U_903
| ~ perpAt(U_905,U_904,U_903,U_902,U_903)
| U_905 = U_904 ),
inference(definitional_conversion,[status(esa)],[f_178_3]) ).
cnf(f_178_5,plain,
( s_col(U_903,U_902,U_901)
| ~ perpAt(U_905,U_904,U_903,U_901,U_903)
| U_902 = U_903
| ~ perpAt(U_905,U_904,U_903,U_902,U_903)
| U_905 = U_904 ),
inference(clausify,[status(thm)],[f_178_4]) ).
fof(f_179_1,plain,
! [Xp,Xq,Xr,Xcs] :
( Xp != foot(Xp,Xq,Xr)
| opposite(Xr,Xp,Xq,Xcs)
| samesideline(Xr,Xcs,Xp,Xq)
| s_col(Xp,Xq,Xcs)
| s_col(Xp,Xq,Xr)
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aLemma9_13f_case1]) ).
fof(f_179_2,plain,
! [U_909,U_908,U_907,U_906] :
( U_909 != foot(U_909,U_908,U_907)
| opposite(U_907,U_909,U_908,U_906)
| samesideline(U_907,U_906,U_909,U_908)
| s_col(U_909,U_908,U_906)
| s_col(U_909,U_908,U_907)
| U_909 = U_908 ),
inference(variable_rename,[status(thm)],[f_179_1]) ).
fof(f_179_3,plain,
! [U_909,U_908] :
( ! [U_907] :
( ! [U_906] :
( opposite(U_907,U_909,U_908,U_906)
| samesideline(U_907,U_906,U_909,U_908)
| s_col(U_909,U_908,U_906) )
| U_909 != foot(U_909,U_908,U_907)
| s_col(U_909,U_908,U_907) )
| U_909 = U_908 ),
inference(miniscope,[status(thm)],[f_179_2]) ).
fof(f_179_4,plain,
! [U_908,U_907,U_909,U_906] :
( opposite(U_907,U_909,U_908,U_906)
| samesideline(U_907,U_906,U_909,U_908)
| s_col(U_909,U_908,U_906)
| U_909 != foot(U_909,U_908,U_907)
| s_col(U_909,U_908,U_907)
| U_909 = U_908 ),
inference(definitional_conversion,[status(esa)],[f_179_3]) ).
cnf(f_179_5,plain,
( opposite(U_907,U_909,U_908,U_906)
| samesideline(U_907,U_906,U_909,U_908)
| s_col(U_909,U_908,U_906)
| U_909 != foot(U_909,U_908,U_907)
| s_col(U_909,U_908,U_907)
| U_909 = U_908 ),
inference(clausify,[status(thm)],[f_179_4]) ).
fof(f_180_1,plain,
! [Xp,Xq,Xr,Xcs] :
( Xp = foot(Xp,Xq,Xr)
| opposite(Xr,Xp,Xq,Xcs)
| samesideline(Xr,Xcs,Xp,Xq)
| s_col(Xp,Xq,Xcs)
| s_col(Xp,Xq,Xr)
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aLemma9_13f_case2]) ).
fof(f_180_2,plain,
! [U_913,U_912,U_911,U_910] :
( U_913 = foot(U_913,U_912,U_911)
| opposite(U_911,U_913,U_912,U_910)
| samesideline(U_911,U_910,U_913,U_912)
| s_col(U_913,U_912,U_910)
| s_col(U_913,U_912,U_911)
| U_913 = U_912 ),
inference(variable_rename,[status(thm)],[f_180_1]) ).
fof(f_180_3,plain,
! [U_913,U_912] :
( ! [U_911] :
( ! [U_910] :
( opposite(U_911,U_913,U_912,U_910)
| samesideline(U_911,U_910,U_913,U_912)
| s_col(U_913,U_912,U_910) )
| U_913 = foot(U_913,U_912,U_911)
| s_col(U_913,U_912,U_911) )
| U_913 = U_912 ),
inference(miniscope,[status(thm)],[f_180_2]) ).
fof(f_180_4,plain,
! [U_913,U_911,U_910,U_912] :
( opposite(U_911,U_913,U_912,U_910)
| samesideline(U_911,U_910,U_913,U_912)
| s_col(U_913,U_912,U_910)
| U_913 = foot(U_913,U_912,U_911)
| s_col(U_913,U_912,U_911)
| U_913 = U_912 ),
inference(definitional_conversion,[status(esa)],[f_180_3]) ).
cnf(f_180_5,plain,
( opposite(U_911,U_913,U_912,U_910)
| samesideline(U_911,U_910,U_913,U_912)
| s_col(U_913,U_912,U_910)
| U_913 = foot(U_913,U_912,U_911)
| s_col(U_913,U_912,U_911)
| U_913 = U_912 ),
inference(clausify,[status(thm)],[f_180_4]) ).
fof(f_181_1,plain,
! [Xp,Xq,Xr,Xcs] :
( opposite(Xr,Xp,Xq,Xcs)
| samesideline(Xr,Xcs,Xp,Xq)
| s_col(Xp,Xq,Xcs)
| s_col(Xp,Xq,Xr)
| Xp = Xq ),
inference(fof_nnf,[status(thm)],[aLemma9_13f]) ).
fof(f_181_2,plain,
! [U_917,U_916,U_915,U_914] :
( opposite(U_915,U_917,U_916,U_914)
| samesideline(U_915,U_914,U_917,U_916)
| s_col(U_917,U_916,U_914)
| s_col(U_917,U_916,U_915)
| U_917 = U_916 ),
inference(variable_rename,[status(thm)],[f_181_1]) ).
fof(f_181_3,plain,
! [U_917,U_916] :
( ! [U_915] :
( ! [U_914] :
( opposite(U_915,U_917,U_916,U_914)
| samesideline(U_915,U_914,U_917,U_916)
| s_col(U_917,U_916,U_914) )
| s_col(U_917,U_916,U_915) )
| U_917 = U_916 ),
inference(miniscope,[status(thm)],[f_181_2]) ).
fof(f_181_4,plain,
! [U_917,U_916,U_915,U_914] :
( opposite(U_915,U_917,U_916,U_914)
| samesideline(U_915,U_914,U_917,U_916)
| s_col(U_917,U_916,U_914)
| s_col(U_917,U_916,U_915)
| U_917 = U_916 ),
inference(definitional_conversion,[status(esa)],[f_181_3]) ).
cnf(f_181_5,plain,
( opposite(U_915,U_917,U_916,U_914)
| samesideline(U_915,U_914,U_917,U_916)
| s_col(U_917,U_916,U_914)
| s_col(U_917,U_916,U_915)
| U_917 = U_916 ),
inference(clausify,[status(thm)],[f_181_4]) ).
fof(f_182_1,plain,
! [Xa,Xb,Xp,Xq,Xr] :
( samesideline(Xr,Xb,Xp,Xq)
| ~ sameside(Xa,Xq,Xr)
| ~ samesideline(Xa,Xb,Xp,Xq) ),
inference(fof_nnf,[status(thm)],[aSatz9_16]) ).
fof(f_182_2,plain,
! [U_922,U_921,U_920,U_919,U_918] :
( samesideline(U_918,U_921,U_920,U_919)
| ~ sameside(U_922,U_919,U_918)
| ~ samesideline(U_922,U_921,U_920,U_919) ),
inference(variable_rename,[status(thm)],[f_182_1]) ).
fof(f_182_3,plain,
! [U_922,U_921,U_920,U_919] :
( ! [U_918] :
( samesideline(U_918,U_921,U_920,U_919)
| ~ sameside(U_922,U_919,U_918) )
| ~ samesideline(U_922,U_921,U_920,U_919) ),
inference(miniscope,[status(thm)],[f_182_2]) ).
fof(f_182_4,plain,
! [U_920,U_921,U_922,U_918,U_919] :
( samesideline(U_918,U_921,U_920,U_919)
| ~ sameside(U_922,U_919,U_918)
| ~ samesideline(U_922,U_921,U_920,U_919) ),
inference(definitional_conversion,[status(esa)],[f_182_3]) ).
cnf(f_182_5,plain,
( samesideline(U_918,U_921,U_920,U_919)
| ~ sameside(U_922,U_919,U_918)
| ~ samesideline(U_922,U_921,U_920,U_919) ),
inference(clausify,[status(thm)],[f_182_4]) ).
fof(f_183_1,plain,
! [Xc,Xd,Xp,Xa,Xb] :
( samesideline(Xa,Xb,Xc,Xd)
| s_col(Xc,Xd,Xa)
| ~ sameside(Xa,Xp,Xb)
| ~ s_col(Xa,Xb,Xp)
| ~ s_col(Xc,Xd,Xp)
| Xc = Xd ),
inference(fof_nnf,[status(thm)],[aSatz9_19b]) ).
fof(f_183_2,plain,
! [U_927,U_926,U_925,U_924,U_923] :
( samesideline(U_924,U_923,U_927,U_926)
| s_col(U_927,U_926,U_924)
| ~ sameside(U_924,U_925,U_923)
| ~ s_col(U_924,U_923,U_925)
| ~ s_col(U_927,U_926,U_925)
| U_927 = U_926 ),
inference(variable_rename,[status(thm)],[f_183_1]) ).
fof(f_183_3,plain,
! [U_927,U_926] :
( ! [U_925] :
( ! [U_924] :
( ! [U_923] :
( samesideline(U_924,U_923,U_927,U_926)
| ~ sameside(U_924,U_925,U_923)
| ~ s_col(U_924,U_923,U_925) )
| s_col(U_927,U_926,U_924) )
| ~ s_col(U_927,U_926,U_925) )
| U_927 = U_926 ),
inference(miniscope,[status(thm)],[f_183_2]) ).
fof(f_183_4,plain,
! [U_926,U_923,U_925,U_927,U_924] :
( samesideline(U_924,U_923,U_927,U_926)
| ~ sameside(U_924,U_925,U_923)
| ~ s_col(U_924,U_923,U_925)
| s_col(U_927,U_926,U_924)
| ~ s_col(U_927,U_926,U_925)
| U_927 = U_926 ),
inference(definitional_conversion,[status(esa)],[f_183_3]) ).
cnf(f_183_5,plain,
( samesideline(U_924,U_923,U_927,U_926)
| ~ sameside(U_924,U_925,U_923)
| ~ s_col(U_924,U_923,U_925)
| s_col(U_927,U_926,U_924)
| ~ s_col(U_927,U_926,U_925)
| U_927 = U_926 ),
inference(clausify,[status(thm)],[f_183_4]) ).
fof(f_184_1,plain,
! [Xa,Xb,Xp] :
( ( perp(Xa,Xb,Xp,reflect(Xa,Xb,Xp))
| Xp = reflect(Xa,Xb,Xp)
| Xa = Xb )
& ( s_col(Xa,Xb,midpoint(Xp,reflect(Xa,Xb,Xp)))
| Xa = Xb ) ),
inference(fof_nnf,[status(thm)],[aSatz10_2a]) ).
fof(f_184_2,plain,
! [U_930,U_929,U_928] :
( ( perp(U_930,U_929,U_928,reflect(U_930,U_929,U_928))
| U_928 = reflect(U_930,U_929,U_928)
| U_930 = U_929 )
& ( s_col(U_930,U_929,midpoint(U_928,reflect(U_930,U_929,U_928)))
| U_930 = U_929 ) ),
inference(variable_rename,[status(thm)],[f_184_1]) ).
fof(f_184_3,plain,
( ! [U_936,U_934] :
( ! [U_932] :
( perp(U_936,U_934,U_932,reflect(U_936,U_934,U_932))
| U_932 = reflect(U_936,U_934,U_932) )
| U_936 = U_934 )
& ! [U_935,U_933] :
( ! [U_931] : s_col(U_935,U_933,midpoint(U_931,reflect(U_935,U_933,U_931)))
| U_935 = U_933 ) ),
inference(miniscope,[status(thm)],[f_184_2]) ).
fof(f_184_4,plain,
( ! [U_932,U_934,U_936] :
( perp(U_936,U_934,U_932,reflect(U_936,U_934,U_932))
| U_932 = reflect(U_936,U_934,U_932)
| U_936 = U_934 )
& ! [U_933,U_931,U_935] :
( s_col(U_935,U_933,midpoint(U_931,reflect(U_935,U_933,U_931)))
| U_935 = U_933 ) ),
inference(definitional_conversion,[status(esa)],[f_184_3]) ).
cnf(f_184_5,plain,
( s_col(U_935,U_933,midpoint(U_931,reflect(U_935,U_933,U_931)))
| U_935 = U_933 ),
inference(clausify,[status(thm)],[f_184_4]) ).
cnf(f_184_6,plain,
( perp(U_936,U_934,U_932,reflect(U_936,U_934,U_932))
| U_932 = reflect(U_936,U_934,U_932)
| U_936 = U_934 ),
inference(clausify,[status(thm)],[f_184_4]) ).
fof(f_185_1,plain,
! [Xa,Xb,Xp,Xp1] :
( ( Xp1 = reflect(Xa,Xb,Xp)
| Xp != Xp1
| ~ s_col(Xa,Xb,midpoint(Xp,Xp1))
| Xa = Xb )
& ( Xp1 = reflect(Xa,Xb,Xp)
| ~ perp(Xa,Xb,Xp,Xp1)
| ~ s_col(Xa,Xb,midpoint(Xp,Xp1))
| Xa = Xb ) ),
inference(fof_nnf,[status(thm)],[aSatz10_2b]) ).
fof(f_185_2,plain,
! [U_940,U_939,U_938,U_937] :
( ( U_937 = reflect(U_940,U_939,U_938)
| U_938 != U_937
| ~ s_col(U_940,U_939,midpoint(U_938,U_937))
| U_940 = U_939 )
& ( U_937 = reflect(U_940,U_939,U_938)
| ~ perp(U_940,U_939,U_938,U_937)
| ~ s_col(U_940,U_939,midpoint(U_938,U_937))
| U_940 = U_939 ) ),
inference(variable_rename,[status(thm)],[f_185_1]) ).
fof(f_185_3,plain,
( ! [U_948,U_946] :
( ! [U_944,U_942] :
( U_942 = reflect(U_948,U_946,U_944)
| U_944 != U_942
| ~ s_col(U_948,U_946,midpoint(U_944,U_942)) )
| U_948 = U_946 )
& ! [U_947,U_945] :
( ! [U_943,U_941] :
( U_941 = reflect(U_947,U_945,U_943)
| ~ perp(U_947,U_945,U_943,U_941)
| ~ s_col(U_947,U_945,midpoint(U_943,U_941)) )
| U_947 = U_945 ) ),
inference(miniscope,[status(thm)],[f_185_2]) ).
fof(f_185_4,plain,
( ! [U_946,U_942,U_944,U_948] :
( U_942 = reflect(U_948,U_946,U_944)
| U_944 != U_942
| ~ s_col(U_948,U_946,midpoint(U_944,U_942))
| U_948 = U_946 )
& ! [U_941,U_945,U_943,U_947] :
( U_941 = reflect(U_947,U_945,U_943)
| ~ perp(U_947,U_945,U_943,U_941)
| ~ s_col(U_947,U_945,midpoint(U_943,U_941))
| U_947 = U_945 ) ),
inference(definitional_conversion,[status(esa)],[f_185_3]) ).
cnf(f_185_5,plain,
( U_941 = reflect(U_947,U_945,U_943)
| ~ perp(U_947,U_945,U_943,U_941)
| ~ s_col(U_947,U_945,midpoint(U_943,U_941))
| U_947 = U_945 ),
inference(clausify,[status(thm)],[f_185_4]) ).
cnf(f_185_6,plain,
( U_942 = reflect(U_948,U_946,U_944)
| U_944 != U_942
| ~ s_col(U_948,U_946,midpoint(U_944,U_942))
| U_948 = U_946 ),
inference(clausify,[status(thm)],[f_185_4]) ).
fof(f_186_1,plain,
! [Xa,Xb,Xp,Xp1] :
( reflect(Xa,Xb,Xp1) = Xp
| reflect(Xa,Xb,Xp) != Xp1
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz10_4]) ).
fof(f_186_2,plain,
! [U_952,U_951,U_950,U_949] :
( reflect(U_952,U_951,U_949) = U_950
| reflect(U_952,U_951,U_950) != U_949
| U_952 = U_951 ),
inference(variable_rename,[status(thm)],[f_186_1]) ).
fof(f_186_3,plain,
! [U_952,U_951] :
( ! [U_950,U_949] :
( reflect(U_952,U_951,U_949) = U_950
| reflect(U_952,U_951,U_950) != U_949 )
| U_952 = U_951 ),
inference(miniscope,[status(thm)],[f_186_2]) ).
fof(f_186_4,plain,
! [U_952,U_951,U_950,U_949] :
( reflect(U_952,U_951,U_949) = U_950
| reflect(U_952,U_951,U_950) != U_949
| U_952 = U_951 ),
inference(definitional_conversion,[status(esa)],[f_186_3]) ).
cnf(f_186_5,plain,
( reflect(U_952,U_951,U_949) = U_950
| reflect(U_952,U_951,U_950) != U_949
| U_952 = U_951 ),
inference(clausify,[status(thm)],[f_186_4]) ).
fof(f_187_1,plain,
! [Xa,Xb,Xp] :
( reflect(Xa,Xb,reflect(Xa,Xb,Xp)) = Xp
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz10_5]) ).
fof(f_187_2,plain,
! [U_955,U_954,U_953] :
( reflect(U_955,U_954,reflect(U_955,U_954,U_953)) = U_953
| U_955 = U_954 ),
inference(variable_rename,[status(thm)],[f_187_1]) ).
fof(f_187_3,plain,
! [U_955,U_954] :
( ! [U_953] : reflect(U_955,U_954,reflect(U_955,U_954,U_953)) = U_953
| U_955 = U_954 ),
inference(miniscope,[status(thm)],[f_187_2]) ).
fof(f_187_4,plain,
! [U_953,U_955,U_954] :
( reflect(U_955,U_954,reflect(U_955,U_954,U_953)) = U_953
| U_955 = U_954 ),
inference(definitional_conversion,[status(esa)],[f_187_3]) ).
cnf(f_187_5,plain,
( reflect(U_955,U_954,reflect(U_955,U_954,U_953)) = U_953
| U_955 = U_954 ),
inference(clausify,[status(thm)],[f_187_4]) ).
fof(f_188_1,plain,
! [Xa,Xb,Xp,Xp1] :
( Xp = reflect(Xa,Xb,Xp1)
| reflect(Xa,Xb,Xp) != Xp1
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz10_6]) ).
fof(f_188_2,plain,
! [U_959,U_958,U_957,U_956] :
( U_957 = reflect(U_959,U_958,U_956)
| reflect(U_959,U_958,U_957) != U_956
| U_959 = U_958 ),
inference(variable_rename,[status(thm)],[f_188_1]) ).
fof(f_188_3,plain,
! [U_959,U_958] :
( ! [U_957,U_956] :
( U_957 = reflect(U_959,U_958,U_956)
| reflect(U_959,U_958,U_957) != U_956 )
| U_959 = U_958 ),
inference(miniscope,[status(thm)],[f_188_2]) ).
fof(f_188_4,plain,
! [U_958,U_959,U_956,U_957] :
( U_957 = reflect(U_959,U_958,U_956)
| reflect(U_959,U_958,U_957) != U_956
| U_959 = U_958 ),
inference(definitional_conversion,[status(esa)],[f_188_3]) ).
cnf(f_188_5,plain,
( U_957 = reflect(U_959,U_958,U_956)
| reflect(U_959,U_958,U_957) != U_956
| U_959 = U_958 ),
inference(clausify,[status(thm)],[f_188_4]) ).
fof(f_189_1,negated_conjecture,
~ ! [Xa,Xb,Xp,Xq] :
( Xp = Xq
| reflect(Xa,Xb,Xp) != reflect(Xa,Xb,Xq)
| Xa = Xb ),
inference(negate,[status(cth)],[aSatz10_7]) ).
fof(f_189_2,negated_conjecture,
? [Xa,Xb,Xp,Xq] :
( Xp != Xq
& reflect(Xa,Xb,Xp) = reflect(Xa,Xb,Xq)
& Xa != Xb ),
inference(fof_nnf,[status(thm)],[f_189_1]) ).
fof(f_189_3,negated_conjecture,
? [U_963,U_962,U_961,U_960] :
( U_961 != U_960
& reflect(U_963,U_962,U_961) = reflect(U_963,U_962,U_960)
& U_963 != U_962 ),
inference(variable_rename,[status(thm)],[f_189_2]) ).
fof(f_189_4,negated_conjecture,
? [U_963,U_962] :
( ? [U_961,U_960] :
( U_961 != U_960
& reflect(U_963,U_962,U_961) = reflect(U_963,U_962,U_960) )
& U_963 != U_962 ),
inference(miniscope,[status(thm)],[f_189_3]) ).
fof(f_189_5,negated_conjecture,
? [U_962] :
( ? [U_961,U_960] :
( U_961 != U_960
& reflect(sK1,U_962,U_961) = reflect(sK1,U_962,U_960) )
& sK1 != U_962 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_963,sK1)],[f_189_4]) ).
fof(f_189_6,negated_conjecture,
( ? [U_961,U_960] :
( U_961 != U_960
& reflect(sK1,sK2,U_961) = reflect(sK1,sK2,U_960) )
& sK1 != sK2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_962,sK2)],[f_189_5]) ).
fof(f_189_7,negated_conjecture,
( ? [U_960] :
( sK3 != U_960
& reflect(sK1,sK2,sK3) = reflect(sK1,sK2,U_960) )
& sK1 != sK2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_961,sK3)],[f_189_6]) ).
fof(f_189_8,negated_conjecture,
( sK3 != sK4
& reflect(sK1,sK2,sK3) = reflect(sK1,sK2,sK4)
& sK1 != sK2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_960,sK4)],[f_189_7]) ).
fof(f_189_9,negated_conjecture,
( sK3 != sK4
& reflect(sK1,sK2,sK3) = reflect(sK1,sK2,sK4)
& sK1 != sK2 ),
inference(definitional_conversion,[status(esa)],[f_189_8]) ).
cnf(f_189_10,negated_conjecture,
sK1 != sK2,
inference(clausify,[status(thm)],[f_189_9]) ).
cnf(f_189_11,negated_conjecture,
reflect(sK1,sK2,sK3) = reflect(sK1,sK2,sK4),
inference(clausify,[status(thm)],[f_189_9]) ).
cnf(f_189_12,negated_conjecture,
sK3 != sK4,
inference(clausify,[status(thm)],[f_189_9]) ).
fof(f_190_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_190_2,plain,
! [U_967,U_966,U_965,U_964] : insert(U_967,U_966,U_965,U_964) = ext(ext(U_964,U_965,alpha,gamma),U_965,U_967,U_966),
inference(variable_rename,[status(thm)],[f_190_1]) ).
fof(f_190_3,plain,
! [U_965,U_966,U_964,U_967] : insert(U_967,U_966,U_965,U_964) = ext(ext(U_964,U_965,alpha,gamma),U_965,U_967,U_966),
inference(definitional_conversion,[status(esa)],[f_190_2]) ).
cnf(f_190_4,plain,
insert(U_967,U_966,U_965,U_964) = ext(ext(U_964,U_965,alpha,gamma),U_965,U_967,U_966),
inference(clausify,[status(thm)],[f_190_3]) ).
fof(f_191_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_191_2,plain,
! [U_975,U_974,U_973,U_972,U_971,U_970,U_969,U_968] :
( ( s_afs(U_975,U_974,U_973,U_972,U_971,U_970,U_969,U_968)
| ~ s_e(U_974,U_972,U_970,U_968)
| ~ s_e(U_975,U_972,U_971,U_968)
| ~ s_e(U_974,U_973,U_970,U_969)
| ~ s_e(U_975,U_974,U_971,U_970)
| ~ s_t(U_971,U_970,U_969)
| ~ s_t(U_975,U_974,U_973) )
& ( s_e(U_974,U_972,U_970,U_968)
| ~ s_afs(U_975,U_974,U_973,U_972,U_971,U_970,U_969,U_968) )
& ( s_e(U_975,U_972,U_971,U_968)
| ~ s_afs(U_975,U_974,U_973,U_972,U_971,U_970,U_969,U_968) )
& ( s_e(U_974,U_973,U_970,U_969)
| ~ s_afs(U_975,U_974,U_973,U_972,U_971,U_970,U_969,U_968) )
& ( s_e(U_975,U_974,U_971,U_970)
| ~ s_afs(U_975,U_974,U_973,U_972,U_971,U_970,U_969,U_968) )
& ( s_t(U_971,U_970,U_969)
| ~ s_afs(U_975,U_974,U_973,U_972,U_971,U_970,U_969,U_968) )
& ( s_t(U_975,U_974,U_973)
| ~ s_afs(U_975,U_974,U_973,U_972,U_971,U_970,U_969,U_968) ) ),
inference(variable_rename,[status(thm)],[f_191_1]) ).
fof(f_191_3,plain,
( ! [U_1031,U_1024,U_1017] :
( ! [U_1010,U_1003,U_996] :
( ! [U_989] :
( ! [U_982] :
( s_afs(U_1031,U_1024,U_1017,U_1010,U_1003,U_996,U_989,U_982)
| ~ s_e(U_1024,U_1010,U_996,U_982)
| ~ s_e(U_1031,U_1010,U_1003,U_982) )
| ~ s_e(U_1024,U_1017,U_996,U_989)
| ~ s_t(U_1003,U_996,U_989) )
| ~ s_e(U_1031,U_1024,U_1003,U_996) )
| ~ s_t(U_1031,U_1024,U_1017) )
& ! [U_1030,U_1023,U_1016,U_1009,U_1002,U_995,U_988,U_981] :
( s_e(U_1023,U_1009,U_995,U_981)
| ~ s_afs(U_1030,U_1023,U_1016,U_1009,U_1002,U_995,U_988,U_981) )
& ! [U_1029,U_1022,U_1015,U_1008,U_1001,U_994,U_987,U_980] :
( s_e(U_1029,U_1008,U_1001,U_980)
| ~ s_afs(U_1029,U_1022,U_1015,U_1008,U_1001,U_994,U_987,U_980) )
& ! [U_1028,U_1021,U_1014,U_1007,U_1000,U_993,U_986] :
( ! [U_979] : ~ s_afs(U_1028,U_1021,U_1014,U_1007,U_1000,U_993,U_986,U_979)
| s_e(U_1021,U_1014,U_993,U_986) )
& ! [U_1027,U_1020,U_1013,U_1006,U_999,U_992] :
( ! [U_985,U_978] : ~ s_afs(U_1027,U_1020,U_1013,U_1006,U_999,U_992,U_985,U_978)
| s_e(U_1027,U_1020,U_999,U_992) )
& ! [U_1026,U_1019,U_1012,U_1005,U_998,U_991,U_984] :
( ! [U_977] : ~ s_afs(U_1026,U_1019,U_1012,U_1005,U_998,U_991,U_984,U_977)
| s_t(U_998,U_991,U_984) )
& ! [U_1025,U_1018,U_1011] :
( ! [U_1004,U_997,U_990,U_983,U_976] : ~ s_afs(U_1025,U_1018,U_1011,U_1004,U_997,U_990,U_983,U_976)
| s_t(U_1025,U_1018,U_1011) ) ),
inference(miniscope,[status(thm)],[f_191_2]) ).
fof(f_191_4,plain,
( ! [U_982,U_989,U_1031,U_1010,U_1024,U_1003,U_996,U_1017] :
( s_afs(U_1031,U_1024,U_1017,U_1010,U_1003,U_996,U_989,U_982)
| ~ s_e(U_1024,U_1010,U_996,U_982)
| ~ s_e(U_1031,U_1010,U_1003,U_982)
| ~ s_e(U_1024,U_1017,U_996,U_989)
| ~ s_t(U_1003,U_996,U_989)
| ~ s_e(U_1031,U_1024,U_1003,U_996)
| ~ s_t(U_1031,U_1024,U_1017) )
& ! [U_995,U_981,U_1023,U_1030,U_988,U_1002,U_1009,U_1016] :
( s_e(U_1023,U_1009,U_995,U_981)
| ~ s_afs(U_1030,U_1023,U_1016,U_1009,U_1002,U_995,U_988,U_981) )
& ! [U_980,U_987,U_1001,U_994,U_1008,U_1022,U_1029,U_1015] :
( s_e(U_1029,U_1008,U_1001,U_980)
| ~ s_afs(U_1029,U_1022,U_1015,U_1008,U_1001,U_994,U_987,U_980) )
& ! [U_979,U_1000,U_993,U_986,U_1007,U_1014,U_1021,U_1028] :
( ~ s_afs(U_1028,U_1021,U_1014,U_1007,U_1000,U_993,U_986,U_979)
| s_e(U_1021,U_1014,U_993,U_986) )
& ! [U_1020,U_985,U_1027,U_978,U_992,U_999,U_1006,U_1013] :
( ~ s_afs(U_1027,U_1020,U_1013,U_1006,U_999,U_992,U_985,U_978)
| s_e(U_1027,U_1020,U_999,U_992) )
& ! [U_1012,U_984,U_1026,U_977,U_991,U_998,U_1019,U_1005] :
( ~ s_afs(U_1026,U_1019,U_1012,U_1005,U_998,U_991,U_984,U_977)
| s_t(U_998,U_991,U_984) )
& ! [U_1004,U_1011,U_990,U_976,U_983,U_1018,U_997,U_1025] :
( ~ s_afs(U_1025,U_1018,U_1011,U_1004,U_997,U_990,U_983,U_976)
| s_t(U_1025,U_1018,U_1011) ) ),
inference(definitional_conversion,[status(esa)],[f_191_3]) ).
cnf(f_191_5,plain,
( ~ s_afs(U_1025,U_1018,U_1011,U_1004,U_997,U_990,U_983,U_976)
| s_t(U_1025,U_1018,U_1011) ),
inference(clausify,[status(thm)],[f_191_4]) ).
cnf(f_191_6,plain,
( ~ s_afs(U_1026,U_1019,U_1012,U_1005,U_998,U_991,U_984,U_977)
| s_t(U_998,U_991,U_984) ),
inference(clausify,[status(thm)],[f_191_4]) ).
cnf(f_191_7,plain,
( ~ s_afs(U_1027,U_1020,U_1013,U_1006,U_999,U_992,U_985,U_978)
| s_e(U_1027,U_1020,U_999,U_992) ),
inference(clausify,[status(thm)],[f_191_4]) ).
cnf(f_191_8,plain,
( ~ s_afs(U_1028,U_1021,U_1014,U_1007,U_1000,U_993,U_986,U_979)
| s_e(U_1021,U_1014,U_993,U_986) ),
inference(clausify,[status(thm)],[f_191_4]) ).
cnf(f_191_9,plain,
( s_e(U_1029,U_1008,U_1001,U_980)
| ~ s_afs(U_1029,U_1022,U_1015,U_1008,U_1001,U_994,U_987,U_980) ),
inference(clausify,[status(thm)],[f_191_4]) ).
cnf(f_191_10,plain,
( s_e(U_1023,U_1009,U_995,U_981)
| ~ s_afs(U_1030,U_1023,U_1016,U_1009,U_1002,U_995,U_988,U_981) ),
inference(clausify,[status(thm)],[f_191_4]) ).
cnf(f_191_11,plain,
( s_afs(U_1031,U_1024,U_1017,U_1010,U_1003,U_996,U_989,U_982)
| ~ s_e(U_1024,U_1010,U_996,U_982)
| ~ s_e(U_1031,U_1010,U_1003,U_982)
| ~ s_e(U_1024,U_1017,U_996,U_989)
| ~ s_t(U_1003,U_996,U_989)
| ~ s_e(U_1031,U_1024,U_1003,U_996)
| ~ s_t(U_1031,U_1024,U_1017) ),
inference(clausify,[status(thm)],[f_191_4]) ).
fof(f_192_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_192_2,plain,
! [U_1039,U_1038,U_1037,U_1036,U_1035,U_1034,U_1033,U_1032] :
( ( s_ifs(U_1039,U_1038,U_1037,U_1036,U_1035,U_1034,U_1033,U_1032)
| ~ s_e(U_1037,U_1036,U_1033,U_1032)
| ~ s_e(U_1039,U_1036,U_1035,U_1032)
| ~ s_e(U_1038,U_1037,U_1034,U_1033)
| ~ s_e(U_1039,U_1037,U_1035,U_1033)
| ~ s_t(U_1035,U_1034,U_1033)
| ~ s_t(U_1039,U_1038,U_1037) )
& ( s_e(U_1037,U_1036,U_1033,U_1032)
| ~ s_ifs(U_1039,U_1038,U_1037,U_1036,U_1035,U_1034,U_1033,U_1032) )
& ( s_e(U_1039,U_1036,U_1035,U_1032)
| ~ s_ifs(U_1039,U_1038,U_1037,U_1036,U_1035,U_1034,U_1033,U_1032) )
& ( s_e(U_1038,U_1037,U_1034,U_1033)
| ~ s_ifs(U_1039,U_1038,U_1037,U_1036,U_1035,U_1034,U_1033,U_1032) )
& ( s_e(U_1039,U_1037,U_1035,U_1033)
| ~ s_ifs(U_1039,U_1038,U_1037,U_1036,U_1035,U_1034,U_1033,U_1032) )
& ( s_t(U_1035,U_1034,U_1033)
| ~ s_ifs(U_1039,U_1038,U_1037,U_1036,U_1035,U_1034,U_1033,U_1032) )
& ( s_t(U_1039,U_1038,U_1037)
| ~ s_ifs(U_1039,U_1038,U_1037,U_1036,U_1035,U_1034,U_1033,U_1032) ) ),
inference(variable_rename,[status(thm)],[f_192_1]) ).
fof(f_192_3,plain,
( ! [U_1095,U_1088,U_1081] :
( ! [U_1074,U_1067,U_1060,U_1053] :
( ! [U_1046] :
( s_ifs(U_1095,U_1088,U_1081,U_1074,U_1067,U_1060,U_1053,U_1046)
| ~ s_e(U_1081,U_1074,U_1053,U_1046)
| ~ s_e(U_1095,U_1074,U_1067,U_1046) )
| ~ s_e(U_1088,U_1081,U_1060,U_1053)
| ~ s_e(U_1095,U_1081,U_1067,U_1053)
| ~ s_t(U_1067,U_1060,U_1053) )
| ~ s_t(U_1095,U_1088,U_1081) )
& ! [U_1094,U_1087,U_1080,U_1073,U_1066,U_1059,U_1052,U_1045] :
( s_e(U_1080,U_1073,U_1052,U_1045)
| ~ s_ifs(U_1094,U_1087,U_1080,U_1073,U_1066,U_1059,U_1052,U_1045) )
& ! [U_1093,U_1086,U_1079,U_1072,U_1065,U_1058,U_1051,U_1044] :
( s_e(U_1093,U_1072,U_1065,U_1044)
| ~ s_ifs(U_1093,U_1086,U_1079,U_1072,U_1065,U_1058,U_1051,U_1044) )
& ! [U_1092,U_1085,U_1078,U_1071,U_1064,U_1057,U_1050] :
( ! [U_1043] : ~ s_ifs(U_1092,U_1085,U_1078,U_1071,U_1064,U_1057,U_1050,U_1043)
| s_e(U_1085,U_1078,U_1057,U_1050) )
& ! [U_1091,U_1084,U_1077,U_1070,U_1063,U_1056,U_1049] :
( ! [U_1042] : ~ s_ifs(U_1091,U_1084,U_1077,U_1070,U_1063,U_1056,U_1049,U_1042)
| s_e(U_1091,U_1077,U_1063,U_1049) )
& ! [U_1090,U_1083,U_1076,U_1069,U_1062,U_1055,U_1048] :
( ! [U_1041] : ~ s_ifs(U_1090,U_1083,U_1076,U_1069,U_1062,U_1055,U_1048,U_1041)
| s_t(U_1062,U_1055,U_1048) )
& ! [U_1089,U_1082,U_1075] :
( ! [U_1068,U_1061,U_1054,U_1047,U_1040] : ~ s_ifs(U_1089,U_1082,U_1075,U_1068,U_1061,U_1054,U_1047,U_1040)
| s_t(U_1089,U_1082,U_1075) ) ),
inference(miniscope,[status(thm)],[f_192_2]) ).
fof(f_192_4,plain,
( ! [U_1081,U_1095,U_1088,U_1053,U_1074,U_1067,U_1046,U_1060] :
( s_ifs(U_1095,U_1088,U_1081,U_1074,U_1067,U_1060,U_1053,U_1046)
| ~ s_e(U_1081,U_1074,U_1053,U_1046)
| ~ s_e(U_1095,U_1074,U_1067,U_1046)
| ~ s_e(U_1088,U_1081,U_1060,U_1053)
| ~ s_e(U_1095,U_1081,U_1067,U_1053)
| ~ s_t(U_1067,U_1060,U_1053)
| ~ s_t(U_1095,U_1088,U_1081) )
& ! [U_1059,U_1080,U_1045,U_1087,U_1052,U_1066,U_1094,U_1073] :
( s_e(U_1080,U_1073,U_1052,U_1045)
| ~ s_ifs(U_1094,U_1087,U_1080,U_1073,U_1066,U_1059,U_1052,U_1045) )
& ! [U_1065,U_1086,U_1058,U_1079,U_1044,U_1072,U_1051,U_1093] :
( s_e(U_1093,U_1072,U_1065,U_1044)
| ~ s_ifs(U_1093,U_1086,U_1079,U_1072,U_1065,U_1058,U_1051,U_1044) )
& ! [U_1064,U_1057,U_1050,U_1078,U_1043,U_1085,U_1071,U_1092] :
( ~ s_ifs(U_1092,U_1085,U_1078,U_1071,U_1064,U_1057,U_1050,U_1043)
| s_e(U_1085,U_1078,U_1057,U_1050) )
& ! [U_1042,U_1063,U_1091,U_1077,U_1084,U_1056,U_1070,U_1049] :
( ~ s_ifs(U_1091,U_1084,U_1077,U_1070,U_1063,U_1056,U_1049,U_1042)
| s_e(U_1091,U_1077,U_1063,U_1049) )
& ! [U_1048,U_1062,U_1090,U_1041,U_1055,U_1069,U_1083,U_1076] :
( ~ s_ifs(U_1090,U_1083,U_1076,U_1069,U_1062,U_1055,U_1048,U_1041)
| s_t(U_1062,U_1055,U_1048) )
& ! [U_1047,U_1040,U_1082,U_1054,U_1061,U_1075,U_1068,U_1089] :
( ~ s_ifs(U_1089,U_1082,U_1075,U_1068,U_1061,U_1054,U_1047,U_1040)
| s_t(U_1089,U_1082,U_1075) ) ),
inference(definitional_conversion,[status(esa)],[f_192_3]) ).
cnf(f_192_5,plain,
( ~ s_ifs(U_1089,U_1082,U_1075,U_1068,U_1061,U_1054,U_1047,U_1040)
| s_t(U_1089,U_1082,U_1075) ),
inference(clausify,[status(thm)],[f_192_4]) ).
cnf(f_192_6,plain,
( ~ s_ifs(U_1090,U_1083,U_1076,U_1069,U_1062,U_1055,U_1048,U_1041)
| s_t(U_1062,U_1055,U_1048) ),
inference(clausify,[status(thm)],[f_192_4]) ).
cnf(f_192_7,plain,
( ~ s_ifs(U_1091,U_1084,U_1077,U_1070,U_1063,U_1056,U_1049,U_1042)
| s_e(U_1091,U_1077,U_1063,U_1049) ),
inference(clausify,[status(thm)],[f_192_4]) ).
cnf(f_192_8,plain,
( ~ s_ifs(U_1092,U_1085,U_1078,U_1071,U_1064,U_1057,U_1050,U_1043)
| s_e(U_1085,U_1078,U_1057,U_1050) ),
inference(clausify,[status(thm)],[f_192_4]) ).
cnf(f_192_9,plain,
( s_e(U_1093,U_1072,U_1065,U_1044)
| ~ s_ifs(U_1093,U_1086,U_1079,U_1072,U_1065,U_1058,U_1051,U_1044) ),
inference(clausify,[status(thm)],[f_192_4]) ).
cnf(f_192_10,plain,
( s_e(U_1080,U_1073,U_1052,U_1045)
| ~ s_ifs(U_1094,U_1087,U_1080,U_1073,U_1066,U_1059,U_1052,U_1045) ),
inference(clausify,[status(thm)],[f_192_4]) ).
cnf(f_192_11,plain,
( s_ifs(U_1095,U_1088,U_1081,U_1074,U_1067,U_1060,U_1053,U_1046)
| ~ s_e(U_1081,U_1074,U_1053,U_1046)
| ~ s_e(U_1095,U_1074,U_1067,U_1046)
| ~ s_e(U_1088,U_1081,U_1060,U_1053)
| ~ s_e(U_1095,U_1081,U_1067,U_1053)
| ~ s_t(U_1067,U_1060,U_1053)
| ~ s_t(U_1095,U_1088,U_1081) ),
inference(clausify,[status(thm)],[f_192_4]) ).
fof(f_193_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_193_2,plain,
! [U_1101,U_1100,U_1099,U_1098,U_1097,U_1096] :
( ( s_e3(U_1101,U_1100,U_1099,U_1098,U_1097,U_1096)
| ~ s_e(U_1100,U_1099,U_1097,U_1096)
| ~ s_e(U_1101,U_1099,U_1098,U_1096)
| ~ s_e(U_1101,U_1100,U_1098,U_1097) )
& ( s_e(U_1100,U_1099,U_1097,U_1096)
| ~ s_e3(U_1101,U_1100,U_1099,U_1098,U_1097,U_1096) )
& ( s_e(U_1101,U_1099,U_1098,U_1096)
| ~ s_e3(U_1101,U_1100,U_1099,U_1098,U_1097,U_1096) )
& ( s_e(U_1101,U_1100,U_1098,U_1097)
| ~ s_e3(U_1101,U_1100,U_1099,U_1098,U_1097,U_1096) ) ),
inference(variable_rename,[status(thm)],[f_193_1]) ).
fof(f_193_3,plain,
( ! [U_1125,U_1121,U_1117,U_1113,U_1109] :
( ! [U_1105] :
( s_e3(U_1125,U_1121,U_1117,U_1113,U_1109,U_1105)
| ~ s_e(U_1121,U_1117,U_1109,U_1105)
| ~ s_e(U_1125,U_1117,U_1113,U_1105) )
| ~ s_e(U_1125,U_1121,U_1113,U_1109) )
& ! [U_1124,U_1120,U_1116,U_1112,U_1108,U_1104] :
( s_e(U_1120,U_1116,U_1108,U_1104)
| ~ s_e3(U_1124,U_1120,U_1116,U_1112,U_1108,U_1104) )
& ! [U_1123,U_1119,U_1115,U_1111,U_1107,U_1103] :
( s_e(U_1123,U_1115,U_1111,U_1103)
| ~ s_e3(U_1123,U_1119,U_1115,U_1111,U_1107,U_1103) )
& ! [U_1122,U_1118,U_1114,U_1110,U_1106] :
( ! [U_1102] : ~ s_e3(U_1122,U_1118,U_1114,U_1110,U_1106,U_1102)
| s_e(U_1122,U_1118,U_1110,U_1106) ) ),
inference(miniscope,[status(thm)],[f_193_2]) ).
fof(f_193_4,plain,
( ! [U_1105,U_1125,U_1121,U_1109,U_1113,U_1117] :
( s_e3(U_1125,U_1121,U_1117,U_1113,U_1109,U_1105)
| ~ s_e(U_1121,U_1117,U_1109,U_1105)
| ~ s_e(U_1125,U_1117,U_1113,U_1105)
| ~ s_e(U_1125,U_1121,U_1113,U_1109) )
& ! [U_1104,U_1108,U_1112,U_1120,U_1124,U_1116] :
( s_e(U_1120,U_1116,U_1108,U_1104)
| ~ s_e3(U_1124,U_1120,U_1116,U_1112,U_1108,U_1104) )
& ! [U_1107,U_1111,U_1123,U_1115,U_1103,U_1119] :
( s_e(U_1123,U_1115,U_1111,U_1103)
| ~ s_e3(U_1123,U_1119,U_1115,U_1111,U_1107,U_1103) )
& ! [U_1106,U_1110,U_1118,U_1102,U_1114,U_1122] :
( ~ s_e3(U_1122,U_1118,U_1114,U_1110,U_1106,U_1102)
| s_e(U_1122,U_1118,U_1110,U_1106) ) ),
inference(definitional_conversion,[status(esa)],[f_193_3]) ).
cnf(f_193_5,plain,
( ~ s_e3(U_1122,U_1118,U_1114,U_1110,U_1106,U_1102)
| s_e(U_1122,U_1118,U_1110,U_1106) ),
inference(clausify,[status(thm)],[f_193_4]) ).
cnf(f_193_6,plain,
( s_e(U_1123,U_1115,U_1111,U_1103)
| ~ s_e3(U_1123,U_1119,U_1115,U_1111,U_1107,U_1103) ),
inference(clausify,[status(thm)],[f_193_4]) ).
cnf(f_193_7,plain,
( s_e(U_1120,U_1116,U_1108,U_1104)
| ~ s_e3(U_1124,U_1120,U_1116,U_1112,U_1108,U_1104) ),
inference(clausify,[status(thm)],[f_193_4]) ).
cnf(f_193_8,plain,
( s_e3(U_1125,U_1121,U_1117,U_1113,U_1109,U_1105)
| ~ s_e(U_1121,U_1117,U_1109,U_1105)
| ~ s_e(U_1125,U_1117,U_1113,U_1105)
| ~ s_e(U_1125,U_1121,U_1113,U_1109) ),
inference(clausify,[status(thm)],[f_193_4]) ).
fof(f_194_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_194_2,plain,
! [U_1128,U_1127,U_1126] :
( ( ~ s_t(U_1126,U_1128,U_1127)
| s_col(U_1128,U_1127,U_1126) )
& ( ~ s_t(U_1127,U_1126,U_1128)
| s_col(U_1128,U_1127,U_1126) )
& ( ~ s_t(U_1128,U_1127,U_1126)
| s_col(U_1128,U_1127,U_1126) )
& ( s_t(U_1126,U_1128,U_1127)
| s_t(U_1127,U_1126,U_1128)
| s_t(U_1128,U_1127,U_1126)
| ~ s_col(U_1128,U_1127,U_1126) ) ),
inference(variable_rename,[status(thm)],[f_194_1]) ).
fof(f_194_3,plain,
( ! [U_1140,U_1136,U_1132] :
( ~ s_t(U_1132,U_1140,U_1136)
| s_col(U_1140,U_1136,U_1132) )
& ! [U_1139,U_1135,U_1131] :
( ~ s_t(U_1135,U_1131,U_1139)
| s_col(U_1139,U_1135,U_1131) )
& ! [U_1138,U_1134,U_1130] :
( ~ s_t(U_1138,U_1134,U_1130)
| s_col(U_1138,U_1134,U_1130) )
& ! [U_1137,U_1133,U_1129] :
( s_t(U_1129,U_1137,U_1133)
| s_t(U_1133,U_1129,U_1137)
| s_t(U_1137,U_1133,U_1129)
| ~ s_col(U_1137,U_1133,U_1129) ) ),
inference(miniscope,[status(thm)],[f_194_2]) ).
fof(f_194_4,plain,
( ! [U_1140,U_1136,U_1132] :
( ~ s_t(U_1132,U_1140,U_1136)
| s_col(U_1140,U_1136,U_1132) )
& ! [U_1135,U_1139,U_1131] :
( ~ s_t(U_1135,U_1131,U_1139)
| s_col(U_1139,U_1135,U_1131) )
& ! [U_1138,U_1130,U_1134] :
( ~ s_t(U_1138,U_1134,U_1130)
| s_col(U_1138,U_1134,U_1130) )
& ! [U_1137,U_1133,U_1129] :
( s_t(U_1129,U_1137,U_1133)
| s_t(U_1133,U_1129,U_1137)
| s_t(U_1137,U_1133,U_1129)
| ~ s_col(U_1137,U_1133,U_1129) ) ),
inference(definitional_conversion,[status(esa)],[f_194_3]) ).
cnf(f_194_5,plain,
( s_t(U_1129,U_1137,U_1133)
| s_t(U_1133,U_1129,U_1137)
| s_t(U_1137,U_1133,U_1129)
| ~ s_col(U_1137,U_1133,U_1129) ),
inference(clausify,[status(thm)],[f_194_4]) ).
cnf(f_194_6,plain,
( ~ s_t(U_1138,U_1134,U_1130)
| s_col(U_1138,U_1134,U_1130) ),
inference(clausify,[status(thm)],[f_194_4]) ).
cnf(f_194_7,plain,
( ~ s_t(U_1135,U_1131,U_1139)
| s_col(U_1139,U_1135,U_1131) ),
inference(clausify,[status(thm)],[f_194_4]) ).
cnf(f_194_8,plain,
( ~ s_t(U_1132,U_1140,U_1136)
| s_col(U_1140,U_1136,U_1132) ),
inference(clausify,[status(thm)],[f_194_4]) ).
fof(f_195_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_195_2,plain,
! [U_1148,U_1147,U_1146,U_1145,U_1144,U_1143,U_1142,U_1141] :
( ( s_fs(U_1148,U_1147,U_1146,U_1145,U_1144,U_1143,U_1142,U_1141)
| ~ s_e(U_1147,U_1145,U_1143,U_1141)
| ~ s_e(U_1148,U_1145,U_1144,U_1141)
| ~ s_e3(U_1148,U_1147,U_1146,U_1144,U_1143,U_1142)
| ~ s_col(U_1148,U_1147,U_1146) )
& ( s_e(U_1147,U_1145,U_1143,U_1141)
| ~ s_fs(U_1148,U_1147,U_1146,U_1145,U_1144,U_1143,U_1142,U_1141) )
& ( s_e(U_1148,U_1145,U_1144,U_1141)
| ~ s_fs(U_1148,U_1147,U_1146,U_1145,U_1144,U_1143,U_1142,U_1141) )
& ( s_e3(U_1148,U_1147,U_1146,U_1144,U_1143,U_1142)
| ~ s_fs(U_1148,U_1147,U_1146,U_1145,U_1144,U_1143,U_1142,U_1141) )
& ( s_col(U_1148,U_1147,U_1146)
| ~ s_fs(U_1148,U_1147,U_1146,U_1145,U_1144,U_1143,U_1142,U_1141) ) ),
inference(variable_rename,[status(thm)],[f_195_1]) ).
fof(f_195_3,plain,
( ! [U_1188,U_1183,U_1178] :
( ! [U_1173,U_1168,U_1163,U_1158] :
( ! [U_1153] :
( s_fs(U_1188,U_1183,U_1178,U_1173,U_1168,U_1163,U_1158,U_1153)
| ~ s_e(U_1183,U_1173,U_1163,U_1153)
| ~ s_e(U_1188,U_1173,U_1168,U_1153) )
| ~ s_e3(U_1188,U_1183,U_1178,U_1168,U_1163,U_1158) )
| ~ s_col(U_1188,U_1183,U_1178) )
& ! [U_1187,U_1182,U_1177,U_1172,U_1167,U_1162,U_1157,U_1152] :
( s_e(U_1182,U_1172,U_1162,U_1152)
| ~ s_fs(U_1187,U_1182,U_1177,U_1172,U_1167,U_1162,U_1157,U_1152) )
& ! [U_1186,U_1181,U_1176,U_1171,U_1166,U_1161,U_1156,U_1151] :
( s_e(U_1186,U_1171,U_1166,U_1151)
| ~ s_fs(U_1186,U_1181,U_1176,U_1171,U_1166,U_1161,U_1156,U_1151) )
& ! [U_1185,U_1180,U_1175,U_1170,U_1165,U_1160,U_1155] :
( ! [U_1150] : ~ s_fs(U_1185,U_1180,U_1175,U_1170,U_1165,U_1160,U_1155,U_1150)
| s_e3(U_1185,U_1180,U_1175,U_1165,U_1160,U_1155) )
& ! [U_1184,U_1179,U_1174] :
( ! [U_1169,U_1164,U_1159,U_1154,U_1149] : ~ s_fs(U_1184,U_1179,U_1174,U_1169,U_1164,U_1159,U_1154,U_1149)
| s_col(U_1184,U_1179,U_1174) ) ),
inference(miniscope,[status(thm)],[f_195_2]) ).
fof(f_195_4,plain,
( ! [U_1173,U_1188,U_1163,U_1153,U_1168,U_1158,U_1178,U_1183] :
( s_fs(U_1188,U_1183,U_1178,U_1173,U_1168,U_1163,U_1158,U_1153)
| ~ s_e(U_1183,U_1173,U_1163,U_1153)
| ~ s_e(U_1188,U_1173,U_1168,U_1153)
| ~ s_e3(U_1188,U_1183,U_1178,U_1168,U_1163,U_1158)
| ~ s_col(U_1188,U_1183,U_1178) )
& ! [U_1167,U_1152,U_1157,U_1172,U_1162,U_1187,U_1177,U_1182] :
( s_e(U_1182,U_1172,U_1162,U_1152)
| ~ s_fs(U_1187,U_1182,U_1177,U_1172,U_1167,U_1162,U_1157,U_1152) )
& ! [U_1161,U_1181,U_1151,U_1166,U_1171,U_1176,U_1186,U_1156] :
( s_e(U_1186,U_1171,U_1166,U_1151)
| ~ s_fs(U_1186,U_1181,U_1176,U_1171,U_1166,U_1161,U_1156,U_1151) )
& ! [U_1155,U_1150,U_1165,U_1185,U_1170,U_1160,U_1175,U_1180] :
( ~ s_fs(U_1185,U_1180,U_1175,U_1170,U_1165,U_1160,U_1155,U_1150)
| s_e3(U_1185,U_1180,U_1175,U_1165,U_1160,U_1155) )
& ! [U_1149,U_1184,U_1154,U_1159,U_1179,U_1164,U_1174,U_1169] :
( ~ s_fs(U_1184,U_1179,U_1174,U_1169,U_1164,U_1159,U_1154,U_1149)
| s_col(U_1184,U_1179,U_1174) ) ),
inference(definitional_conversion,[status(esa)],[f_195_3]) ).
cnf(f_195_5,plain,
( ~ s_fs(U_1184,U_1179,U_1174,U_1169,U_1164,U_1159,U_1154,U_1149)
| s_col(U_1184,U_1179,U_1174) ),
inference(clausify,[status(thm)],[f_195_4]) ).
cnf(f_195_6,plain,
( ~ s_fs(U_1185,U_1180,U_1175,U_1170,U_1165,U_1160,U_1155,U_1150)
| s_e3(U_1185,U_1180,U_1175,U_1165,U_1160,U_1155) ),
inference(clausify,[status(thm)],[f_195_4]) ).
cnf(f_195_7,plain,
( s_e(U_1186,U_1171,U_1166,U_1151)
| ~ s_fs(U_1186,U_1181,U_1176,U_1171,U_1166,U_1161,U_1156,U_1151) ),
inference(clausify,[status(thm)],[f_195_4]) ).
cnf(f_195_8,plain,
( s_e(U_1182,U_1172,U_1162,U_1152)
| ~ s_fs(U_1187,U_1182,U_1177,U_1172,U_1167,U_1162,U_1157,U_1152) ),
inference(clausify,[status(thm)],[f_195_4]) ).
cnf(f_195_9,plain,
( s_fs(U_1188,U_1183,U_1178,U_1173,U_1168,U_1163,U_1158,U_1153)
| ~ s_e(U_1183,U_1173,U_1163,U_1153)
| ~ s_e(U_1188,U_1173,U_1168,U_1153)
| ~ s_e3(U_1188,U_1183,U_1178,U_1168,U_1163,U_1158)
| ~ s_col(U_1188,U_1183,U_1178) ),
inference(clausify,[status(thm)],[f_195_4]) ).
fof(f_196_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_196_2,plain,
! [U_1193,U_1192,U_1191,U_1190,U_1189] :
( ( le(U_1193,U_1192,U_1191,U_1190)
| ~ s_e(U_1193,U_1192,U_1191,U_1189)
| ~ s_t(U_1191,U_1189,U_1190) )
& ( s_e(U_1193,U_1192,U_1191,insert(U_1193,U_1192,U_1191,U_1190))
| ~ le(U_1193,U_1192,U_1191,U_1190) )
& ( s_t(U_1191,insert(U_1193,U_1192,U_1191,U_1190),U_1190)
| ~ le(U_1193,U_1192,U_1191,U_1190) ) ),
inference(variable_rename,[status(thm)],[f_196_1]) ).
fof(f_196_3,plain,
( ! [U_1205,U_1202,U_1199,U_1196] :
( ! [U_1189] :
( ~ s_e(U_1205,U_1202,U_1199,U_1189)
| ~ s_t(U_1199,U_1189,U_1196) )
| le(U_1205,U_1202,U_1199,U_1196) )
& ! [U_1204,U_1201,U_1198,U_1195] :
( s_e(U_1204,U_1201,U_1198,insert(U_1204,U_1201,U_1198,U_1195))
| ~ le(U_1204,U_1201,U_1198,U_1195) )
& ! [U_1203,U_1200,U_1197,U_1194] :
( s_t(U_1197,insert(U_1203,U_1200,U_1197,U_1194),U_1194)
| ~ le(U_1203,U_1200,U_1197,U_1194) ) ),
inference(miniscope,[status(thm)],[f_196_2]) ).
fof(f_196_4,plain,
( ! [U_1196,U_1199,U_1189,U_1205,U_1202] :
( ~ s_e(U_1205,U_1202,U_1199,U_1189)
| ~ s_t(U_1199,U_1189,U_1196)
| le(U_1205,U_1202,U_1199,U_1196) )
& ! [U_1198,U_1201,U_1204,U_1195] :
( s_e(U_1204,U_1201,U_1198,insert(U_1204,U_1201,U_1198,U_1195))
| ~ le(U_1204,U_1201,U_1198,U_1195) )
& ! [U_1203,U_1200,U_1197,U_1194] :
( s_t(U_1197,insert(U_1203,U_1200,U_1197,U_1194),U_1194)
| ~ le(U_1203,U_1200,U_1197,U_1194) ) ),
inference(definitional_conversion,[status(esa)],[f_196_3]) ).
cnf(f_196_5,plain,
( s_t(U_1197,insert(U_1203,U_1200,U_1197,U_1194),U_1194)
| ~ le(U_1203,U_1200,U_1197,U_1194) ),
inference(clausify,[status(thm)],[f_196_4]) ).
cnf(f_196_6,plain,
( s_e(U_1204,U_1201,U_1198,insert(U_1204,U_1201,U_1198,U_1195))
| ~ le(U_1204,U_1201,U_1198,U_1195) ),
inference(clausify,[status(thm)],[f_196_4]) ).
cnf(f_196_7,plain,
( ~ s_e(U_1205,U_1202,U_1199,U_1189)
| ~ s_t(U_1199,U_1189,U_1196)
| le(U_1205,U_1202,U_1199,U_1196) ),
inference(clausify,[status(thm)],[f_196_4]) ).
fof(f_197_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_197_2,plain,
! [U_1208,U_1207,U_1206] :
( ( sameside(U_1208,U_1207,U_1206)
| U_1206 = U_1207
| U_1208 = U_1207
| ~ s_t(U_1207,U_1206,U_1208) )
& ( sameside(U_1208,U_1207,U_1206)
| xb = U_1207
| U_1208 = U_1207
| ~ s_t(U_1207,U_1208,U_1206) )
& ( s_t(U_1207,U_1206,U_1208)
| s_t(U_1207,U_1208,U_1206)
| ~ sameside(U_1208,U_1207,U_1206) )
& ( U_1206 != U_1207
| ~ sameside(U_1208,U_1207,U_1206) )
& ( U_1208 != U_1207
| ~ sameside(U_1208,U_1207,U_1206) ) ),
inference(variable_rename,[status(thm)],[f_197_1]) ).
fof(f_197_3,plain,
( ! [U_1223,U_1218] :
( ! [U_1213] :
( sameside(U_1223,U_1218,U_1213)
| U_1213 = U_1218
| ~ s_t(U_1218,U_1213,U_1223) )
| U_1223 = U_1218 )
& ! [U_1222,U_1217] :
( ! [U_1212] :
( sameside(U_1222,U_1217,U_1212)
| ~ s_t(U_1217,U_1222,U_1212) )
| xb = U_1217
| U_1222 = U_1217 )
& ! [U_1221,U_1216,U_1211] :
( s_t(U_1216,U_1211,U_1221)
| s_t(U_1216,U_1221,U_1211)
| ~ sameside(U_1221,U_1216,U_1211) )
& ! [U_1220,U_1215,U_1210] :
( U_1210 != U_1215
| ~ sameside(U_1220,U_1215,U_1210) )
& ! [U_1219,U_1214] :
( ! [U_1209] : ~ sameside(U_1219,U_1214,U_1209)
| U_1219 != U_1214 ) ),
inference(miniscope,[status(thm)],[f_197_2]) ).
fof(f_197_4,plain,
( ! [U_1213,U_1223,U_1218] :
( sameside(U_1223,U_1218,U_1213)
| U_1213 = U_1218
| ~ s_t(U_1218,U_1213,U_1223)
| U_1223 = U_1218 )
& ! [U_1217,U_1212,U_1222] :
( sameside(U_1222,U_1217,U_1212)
| ~ s_t(U_1217,U_1222,U_1212)
| xb = U_1217
| U_1222 = U_1217 )
& ! [U_1216,U_1221,U_1211] :
( s_t(U_1216,U_1211,U_1221)
| s_t(U_1216,U_1221,U_1211)
| ~ sameside(U_1221,U_1216,U_1211) )
& ! [U_1220,U_1210,U_1215] :
( U_1210 != U_1215
| ~ sameside(U_1220,U_1215,U_1210) )
& ! [U_1209,U_1219,U_1214] :
( ~ sameside(U_1219,U_1214,U_1209)
| U_1219 != U_1214 ) ),
inference(definitional_conversion,[status(esa)],[f_197_3]) ).
cnf(f_197_5,plain,
( ~ sameside(U_1219,U_1214,U_1209)
| U_1219 != U_1214 ),
inference(clausify,[status(thm)],[f_197_4]) ).
cnf(f_197_6,plain,
( U_1210 != U_1215
| ~ sameside(U_1220,U_1215,U_1210) ),
inference(clausify,[status(thm)],[f_197_4]) ).
cnf(f_197_7,plain,
( s_t(U_1216,U_1211,U_1221)
| s_t(U_1216,U_1221,U_1211)
| ~ sameside(U_1221,U_1216,U_1211) ),
inference(clausify,[status(thm)],[f_197_4]) ).
cnf(f_197_8,plain,
( sameside(U_1222,U_1217,U_1212)
| ~ s_t(U_1217,U_1222,U_1212)
| xb = U_1217
| U_1222 = U_1217 ),
inference(clausify,[status(thm)],[f_197_4]) ).
cnf(f_197_9,plain,
( sameside(U_1223,U_1218,U_1213)
| U_1213 = U_1218
| ~ s_t(U_1218,U_1213,U_1223)
| U_1223 = U_1218 ),
inference(clausify,[status(thm)],[f_197_4]) ).
fof(f_198_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_198_2,plain,
! [U_1226,U_1225,U_1224] :
( ( s_m(U_1226,U_1225,U_1224)
| ~ s_e(U_1225,U_1226,U_1225,U_1224)
| ~ s_t(U_1226,U_1225,U_1224) )
& ( s_e(U_1225,U_1226,U_1225,U_1224)
| ~ s_m(U_1226,U_1225,U_1224) )
& ( s_t(U_1226,U_1225,U_1224)
| ~ s_m(U_1226,U_1225,U_1224) ) ),
inference(variable_rename,[status(thm)],[f_198_1]) ).
fof(f_198_3,plain,
( ! [U_1235,U_1232,U_1229] :
( s_m(U_1235,U_1232,U_1229)
| ~ s_e(U_1232,U_1235,U_1232,U_1229)
| ~ s_t(U_1235,U_1232,U_1229) )
& ! [U_1234,U_1231,U_1228] :
( s_e(U_1231,U_1234,U_1231,U_1228)
| ~ s_m(U_1234,U_1231,U_1228) )
& ! [U_1233,U_1230,U_1227] :
( s_t(U_1233,U_1230,U_1227)
| ~ s_m(U_1233,U_1230,U_1227) ) ),
inference(miniscope,[status(thm)],[f_198_2]) ).
fof(f_198_4,plain,
( ! [U_1235,U_1229,U_1232] :
( s_m(U_1235,U_1232,U_1229)
| ~ s_e(U_1232,U_1235,U_1232,U_1229)
| ~ s_t(U_1235,U_1232,U_1229) )
& ! [U_1231,U_1234,U_1228] :
( s_e(U_1231,U_1234,U_1231,U_1228)
| ~ s_m(U_1234,U_1231,U_1228) )
& ! [U_1233,U_1227,U_1230] :
( s_t(U_1233,U_1230,U_1227)
| ~ s_m(U_1233,U_1230,U_1227) ) ),
inference(definitional_conversion,[status(esa)],[f_198_3]) ).
cnf(f_198_5,plain,
( s_t(U_1233,U_1230,U_1227)
| ~ s_m(U_1233,U_1230,U_1227) ),
inference(clausify,[status(thm)],[f_198_4]) ).
cnf(f_198_6,plain,
( s_e(U_1231,U_1234,U_1231,U_1228)
| ~ s_m(U_1234,U_1231,U_1228) ),
inference(clausify,[status(thm)],[f_198_4]) ).
cnf(f_198_7,plain,
( s_m(U_1235,U_1232,U_1229)
| ~ s_e(U_1232,U_1235,U_1232,U_1229)
| ~ s_t(U_1235,U_1232,U_1229) ),
inference(clausify,[status(thm)],[f_198_4]) ).
fof(f_199_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_199_2,plain,
! [U_1242,U_1241,U_1240,U_1239,U_1238,U_1237,U_1236] :
( ( s_kf(U_1242,U_1241,U_1240,U_1239,U_1238,U_1237,U_1236)
| ~ s_m(U_1236,U_1237,U_1238)
| ~ s_m(U_1242,U_1241,U_1240)
| ~ s_e(U_1239,U_1236,U_1239,U_1238)
| ~ s_e(U_1239,U_1242,U_1239,U_1240)
| ~ s_t(U_1240,U_1239,U_1238)
| ~ s_t(U_1242,U_1239,U_1236) )
& ( s_m(U_1236,U_1237,U_1238)
| ~ s_kf(U_1242,U_1241,U_1240,U_1239,U_1238,U_1237,U_1236) )
& ( s_m(U_1242,U_1241,U_1240)
| ~ s_kf(U_1242,U_1241,U_1240,U_1239,U_1238,U_1237,U_1236) )
& ( s_e(U_1239,U_1236,U_1239,U_1238)
| ~ s_kf(U_1242,U_1241,U_1240,U_1239,U_1238,U_1237,U_1236) )
& ( s_e(U_1239,U_1242,U_1239,U_1240)
| ~ s_kf(U_1242,U_1241,U_1240,U_1239,U_1238,U_1237,U_1236) )
& ( s_t(U_1240,U_1239,U_1238)
| ~ s_kf(U_1242,U_1241,U_1240,U_1239,U_1238,U_1237,U_1236) )
& ( s_t(U_1242,U_1239,U_1236)
| ~ s_kf(U_1242,U_1241,U_1240,U_1239,U_1238,U_1237,U_1236) ) ),
inference(variable_rename,[status(thm)],[f_199_1]) ).
fof(f_199_3,plain,
( ! [U_1291,U_1284,U_1277] :
( ! [U_1270] :
( ! [U_1263] :
( ! [U_1256,U_1249] :
( s_kf(U_1291,U_1284,U_1277,U_1270,U_1263,U_1256,U_1249)
| ~ s_m(U_1249,U_1256,U_1263)
| ~ s_e(U_1270,U_1249,U_1270,U_1263)
| ~ s_t(U_1291,U_1270,U_1249) )
| ~ s_t(U_1277,U_1270,U_1263) )
| ~ s_e(U_1270,U_1291,U_1270,U_1277) )
| ~ s_m(U_1291,U_1284,U_1277) )
& ! [U_1290,U_1283,U_1276,U_1269,U_1262,U_1255,U_1248] :
( s_m(U_1248,U_1255,U_1262)
| ~ s_kf(U_1290,U_1283,U_1276,U_1269,U_1262,U_1255,U_1248) )
& ! [U_1289,U_1282,U_1275] :
( ! [U_1268,U_1261,U_1254,U_1247] : ~ s_kf(U_1289,U_1282,U_1275,U_1268,U_1261,U_1254,U_1247)
| s_m(U_1289,U_1282,U_1275) )
& ! [U_1288,U_1281,U_1274,U_1267,U_1260,U_1253,U_1246] :
( s_e(U_1267,U_1246,U_1267,U_1260)
| ~ s_kf(U_1288,U_1281,U_1274,U_1267,U_1260,U_1253,U_1246) )
& ! [U_1287,U_1280,U_1273,U_1266] :
( ! [U_1259,U_1252,U_1245] : ~ s_kf(U_1287,U_1280,U_1273,U_1266,U_1259,U_1252,U_1245)
| s_e(U_1266,U_1287,U_1266,U_1273) )
& ! [U_1286,U_1279,U_1272,U_1265,U_1258] :
( ! [U_1251,U_1244] : ~ s_kf(U_1286,U_1279,U_1272,U_1265,U_1258,U_1251,U_1244)
| s_t(U_1272,U_1265,U_1258) )
& ! [U_1285,U_1278,U_1271,U_1264,U_1257,U_1250,U_1243] :
( s_t(U_1285,U_1264,U_1243)
| ~ s_kf(U_1285,U_1278,U_1271,U_1264,U_1257,U_1250,U_1243) ) ),
inference(miniscope,[status(thm)],[f_199_2]) ).
fof(f_199_4,plain,
( ! [U_1270,U_1249,U_1263,U_1284,U_1256,U_1277,U_1291] :
( s_kf(U_1291,U_1284,U_1277,U_1270,U_1263,U_1256,U_1249)
| ~ s_m(U_1249,U_1256,U_1263)
| ~ s_e(U_1270,U_1249,U_1270,U_1263)
| ~ s_t(U_1291,U_1270,U_1249)
| ~ s_t(U_1277,U_1270,U_1263)
| ~ s_e(U_1270,U_1291,U_1270,U_1277)
| ~ s_m(U_1291,U_1284,U_1277) )
& ! [U_1262,U_1276,U_1290,U_1248,U_1255,U_1269,U_1283] :
( s_m(U_1248,U_1255,U_1262)
| ~ s_kf(U_1290,U_1283,U_1276,U_1269,U_1262,U_1255,U_1248) )
& ! [U_1254,U_1247,U_1261,U_1268,U_1275,U_1289,U_1282] :
( ~ s_kf(U_1289,U_1282,U_1275,U_1268,U_1261,U_1254,U_1247)
| s_m(U_1289,U_1282,U_1275) )
& ! [U_1246,U_1253,U_1260,U_1274,U_1281,U_1288,U_1267] :
( s_e(U_1267,U_1246,U_1267,U_1260)
| ~ s_kf(U_1288,U_1281,U_1274,U_1267,U_1260,U_1253,U_1246) )
& ! [U_1245,U_1252,U_1259,U_1266,U_1273,U_1280,U_1287] :
( ~ s_kf(U_1287,U_1280,U_1273,U_1266,U_1259,U_1252,U_1245)
| s_e(U_1266,U_1287,U_1266,U_1273) )
& ! [U_1251,U_1244,U_1279,U_1265,U_1258,U_1286,U_1272] :
( ~ s_kf(U_1286,U_1279,U_1272,U_1265,U_1258,U_1251,U_1244)
| s_t(U_1272,U_1265,U_1258) )
& ! [U_1243,U_1250,U_1257,U_1271,U_1285,U_1278,U_1264] :
( s_t(U_1285,U_1264,U_1243)
| ~ s_kf(U_1285,U_1278,U_1271,U_1264,U_1257,U_1250,U_1243) ) ),
inference(definitional_conversion,[status(esa)],[f_199_3]) ).
cnf(f_199_5,plain,
( s_t(U_1285,U_1264,U_1243)
| ~ s_kf(U_1285,U_1278,U_1271,U_1264,U_1257,U_1250,U_1243) ),
inference(clausify,[status(thm)],[f_199_4]) ).
cnf(f_199_6,plain,
( ~ s_kf(U_1286,U_1279,U_1272,U_1265,U_1258,U_1251,U_1244)
| s_t(U_1272,U_1265,U_1258) ),
inference(clausify,[status(thm)],[f_199_4]) ).
cnf(f_199_7,plain,
( ~ s_kf(U_1287,U_1280,U_1273,U_1266,U_1259,U_1252,U_1245)
| s_e(U_1266,U_1287,U_1266,U_1273) ),
inference(clausify,[status(thm)],[f_199_4]) ).
cnf(f_199_8,plain,
( s_e(U_1267,U_1246,U_1267,U_1260)
| ~ s_kf(U_1288,U_1281,U_1274,U_1267,U_1260,U_1253,U_1246) ),
inference(clausify,[status(thm)],[f_199_4]) ).
cnf(f_199_9,plain,
( ~ s_kf(U_1289,U_1282,U_1275,U_1268,U_1261,U_1254,U_1247)
| s_m(U_1289,U_1282,U_1275) ),
inference(clausify,[status(thm)],[f_199_4]) ).
cnf(f_199_10,plain,
( s_m(U_1248,U_1255,U_1262)
| ~ s_kf(U_1290,U_1283,U_1276,U_1269,U_1262,U_1255,U_1248) ),
inference(clausify,[status(thm)],[f_199_4]) ).
cnf(f_199_11,plain,
( s_kf(U_1291,U_1284,U_1277,U_1270,U_1263,U_1256,U_1249)
| ~ s_m(U_1249,U_1256,U_1263)
| ~ s_e(U_1270,U_1249,U_1270,U_1263)
| ~ s_t(U_1291,U_1270,U_1249)
| ~ s_t(U_1277,U_1270,U_1263)
| ~ s_e(U_1270,U_1291,U_1270,U_1277)
| ~ s_m(U_1291,U_1284,U_1277) ),
inference(clausify,[status(thm)],[f_199_4]) ).
fof(f_200_1,plain,
! [Xa,Xb,Xc] :
( ( ~ s_e(Xa,Xc,Xa,s(Xb,Xc))
| s_r(Xa,Xb,Xc) )
& ( s_e(Xa,Xc,Xa,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ) ),
inference(fof_nnf,[status(thm)],[d_Defn8_1]) ).
fof(f_200_2,plain,
! [U_1294,U_1293,U_1292] :
( ( ~ s_e(U_1294,U_1292,U_1294,s(U_1293,U_1292))
| s_r(U_1294,U_1293,U_1292) )
& ( s_e(U_1294,U_1292,U_1294,s(U_1293,U_1292))
| ~ s_r(U_1294,U_1293,U_1292) ) ),
inference(variable_rename,[status(thm)],[f_200_1]) ).
fof(f_200_3,plain,
( ! [U_1300,U_1298,U_1296] :
( ~ s_e(U_1300,U_1296,U_1300,s(U_1298,U_1296))
| s_r(U_1300,U_1298,U_1296) )
& ! [U_1299,U_1297,U_1295] :
( s_e(U_1299,U_1295,U_1299,s(U_1297,U_1295))
| ~ s_r(U_1299,U_1297,U_1295) ) ),
inference(miniscope,[status(thm)],[f_200_2]) ).
fof(f_200_4,plain,
( ! [U_1300,U_1298,U_1296] :
( ~ s_e(U_1300,U_1296,U_1300,s(U_1298,U_1296))
| s_r(U_1300,U_1298,U_1296) )
& ! [U_1299,U_1297,U_1295] :
( s_e(U_1299,U_1295,U_1299,s(U_1297,U_1295))
| ~ s_r(U_1299,U_1297,U_1295) ) ),
inference(definitional_conversion,[status(esa)],[f_200_3]) ).
cnf(f_200_5,plain,
( s_e(U_1299,U_1295,U_1299,s(U_1297,U_1295))
| ~ s_r(U_1299,U_1297,U_1295) ),
inference(clausify,[status(thm)],[f_200_4]) ).
cnf(f_200_6,plain,
( ~ s_e(U_1300,U_1296,U_1300,s(U_1298,U_1296))
| s_r(U_1300,U_1298,U_1296) ),
inference(clausify,[status(thm)],[f_200_4]) ).
fof(f_201_1,plain,
! [Y,Z,X,Y1,Z1,U,V] :
( ( ~ s_r(f811(Y,Z,Y1,Z1,X),X,g811(Y,Z,Y1,Z1,X))
| ~ s_col(Y1,Z1,X)
| ~ s_col(Y,Z,X)
| Y1 = Z1
| Y = Z
| perpAt(Y,Z,X,Y1,Z1) )
& ( s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X))
| ~ s_col(Y1,Z1,X)
| ~ s_col(Y,Z,X)
| Y1 = Z1
| Y = Z
| perpAt(Y,Z,X,Y1,Z1) )
& ( s_col(Y,Z,f811(Y,Z,Y1,Z1,X))
| ~ s_col(Y1,Z1,X)
| ~ s_col(Y,Z,X)
| Y1 = Z1
| Y = Z
| perpAt(Y,Z,X,Y1,Z1) )
& ( s_r(U,X,V)
| ~ s_col(Y1,Z1,V)
| ~ s_col(Y,Z,U)
| ~ perpAt(Y,Z,X,Y1,Z1) )
& ( Y1 != Z1
| ~ perpAt(Y,Z,X,Y1,Z1) )
& ( Y != Z
| ~ perpAt(Y,Z,X,Y1,Z1) )
& ( s_col(Y1,Z1,X)
| ~ perpAt(Y,Z,X,Y1,Z1) )
& ( s_col(Y,Z,X)
| ~ perpAt(Y,Z,X,Y1,Z1) ) ),
inference(fof_nnf,[status(thm)],[d_Defn8_11a]) ).
fof(f_201_2,plain,
! [U_1307,U_1306,U_1305,U_1304,U_1303,U_1302,U_1301] :
( ( ~ s_r(f811(U_1307,U_1306,U_1304,U_1303,U_1305),U_1305,g811(U_1307,U_1306,U_1304,U_1303,U_1305))
| ~ s_col(U_1304,U_1303,U_1305)
| ~ s_col(U_1307,U_1306,U_1305)
| U_1304 = U_1303
| U_1307 = U_1306
| perpAt(U_1307,U_1306,U_1305,U_1304,U_1303) )
& ( s_col(U_1304,U_1303,g811(U_1307,U_1306,U_1304,U_1303,U_1305))
| ~ s_col(U_1304,U_1303,U_1305)
| ~ s_col(U_1307,U_1306,U_1305)
| U_1304 = U_1303
| U_1307 = U_1306
| perpAt(U_1307,U_1306,U_1305,U_1304,U_1303) )
& ( s_col(U_1307,U_1306,f811(U_1307,U_1306,U_1304,U_1303,U_1305))
| ~ s_col(U_1304,U_1303,U_1305)
| ~ s_col(U_1307,U_1306,U_1305)
| U_1304 = U_1303
| U_1307 = U_1306
| perpAt(U_1307,U_1306,U_1305,U_1304,U_1303) )
& ( s_r(U_1302,U_1305,U_1301)
| ~ s_col(U_1304,U_1303,U_1301)
| ~ s_col(U_1307,U_1306,U_1302)
| ~ perpAt(U_1307,U_1306,U_1305,U_1304,U_1303) )
& ( U_1304 != U_1303
| ~ perpAt(U_1307,U_1306,U_1305,U_1304,U_1303) )
& ( U_1307 != U_1306
| ~ perpAt(U_1307,U_1306,U_1305,U_1304,U_1303) )
& ( s_col(U_1304,U_1303,U_1305)
| ~ perpAt(U_1307,U_1306,U_1305,U_1304,U_1303) )
& ( s_col(U_1307,U_1306,U_1305)
| ~ perpAt(U_1307,U_1306,U_1305,U_1304,U_1303) ) ),
inference(variable_rename,[status(thm)],[f_201_1]) ).
fof(f_201_3,plain,
( ! [U_1347,U_1339,U_1331,U_1323,U_1315] :
( ! [U_1302] :
( ! [U_1301] :
( s_r(U_1302,U_1331,U_1301)
| ~ s_col(U_1323,U_1315,U_1301) )
| ~ s_col(U_1347,U_1339,U_1302) )
| ~ perpAt(U_1347,U_1339,U_1331,U_1323,U_1315) )
& ! [U_1346,U_1338] :
( ! [U_1330] :
( ! [U_1322,U_1314] :
( ~ s_r(f811(U_1346,U_1338,U_1322,U_1314,U_1330),U_1330,g811(U_1346,U_1338,U_1322,U_1314,U_1330))
| ~ s_col(U_1322,U_1314,U_1330)
| U_1322 = U_1314
| perpAt(U_1346,U_1338,U_1330,U_1322,U_1314) )
| ~ s_col(U_1346,U_1338,U_1330) )
| U_1346 = U_1338 )
& ! [U_1345,U_1337] :
( ! [U_1329] :
( ! [U_1321,U_1313] :
( s_col(U_1321,U_1313,g811(U_1345,U_1337,U_1321,U_1313,U_1329))
| ~ s_col(U_1321,U_1313,U_1329)
| U_1321 = U_1313
| perpAt(U_1345,U_1337,U_1329,U_1321,U_1313) )
| ~ s_col(U_1345,U_1337,U_1329) )
| U_1345 = U_1337 )
& ! [U_1344,U_1336] :
( ! [U_1328] :
( ! [U_1320,U_1312] :
( s_col(U_1344,U_1336,f811(U_1344,U_1336,U_1320,U_1312,U_1328))
| ~ s_col(U_1320,U_1312,U_1328)
| U_1320 = U_1312
| perpAt(U_1344,U_1336,U_1328,U_1320,U_1312) )
| ~ s_col(U_1344,U_1336,U_1328) )
| U_1344 = U_1336 )
& ! [U_1343,U_1335,U_1327,U_1319,U_1311] :
( U_1319 != U_1311
| ~ perpAt(U_1343,U_1335,U_1327,U_1319,U_1311) )
& ! [U_1342,U_1334] :
( ! [U_1326,U_1318,U_1310] : ~ perpAt(U_1342,U_1334,U_1326,U_1318,U_1310)
| U_1342 != U_1334 )
& ! [U_1341,U_1333,U_1325,U_1317,U_1309] :
( s_col(U_1317,U_1309,U_1325)
| ~ perpAt(U_1341,U_1333,U_1325,U_1317,U_1309) )
& ! [U_1340,U_1332,U_1324] :
( ! [U_1316,U_1308] : ~ perpAt(U_1340,U_1332,U_1324,U_1316,U_1308)
| s_col(U_1340,U_1332,U_1324) ) ),
inference(miniscope,[status(thm)],[f_201_2]) ).
fof(f_201_4,plain,
( ! [U_1301,U_1323,U_1302,U_1347,U_1315,U_1331,U_1339] :
( s_r(U_1302,U_1331,U_1301)
| ~ s_col(U_1323,U_1315,U_1301)
| ~ s_col(U_1347,U_1339,U_1302)
| ~ perpAt(U_1347,U_1339,U_1331,U_1323,U_1315) )
& ! [U_1330,U_1346,U_1314,U_1322,U_1338] :
( ~ s_r(f811(U_1346,U_1338,U_1322,U_1314,U_1330),U_1330,g811(U_1346,U_1338,U_1322,U_1314,U_1330))
| ~ s_col(U_1322,U_1314,U_1330)
| U_1322 = U_1314
| perpAt(U_1346,U_1338,U_1330,U_1322,U_1314)
| ~ s_col(U_1346,U_1338,U_1330)
| U_1346 = U_1338 )
& ! [U_1313,U_1321,U_1329,U_1337,U_1345] :
( s_col(U_1321,U_1313,g811(U_1345,U_1337,U_1321,U_1313,U_1329))
| ~ s_col(U_1321,U_1313,U_1329)
| U_1321 = U_1313
| perpAt(U_1345,U_1337,U_1329,U_1321,U_1313)
| ~ s_col(U_1345,U_1337,U_1329)
| U_1345 = U_1337 )
& ! [U_1328,U_1312,U_1344,U_1336,U_1320] :
( s_col(U_1344,U_1336,f811(U_1344,U_1336,U_1320,U_1312,U_1328))
| ~ s_col(U_1320,U_1312,U_1328)
| U_1320 = U_1312
| perpAt(U_1344,U_1336,U_1328,U_1320,U_1312)
| ~ s_col(U_1344,U_1336,U_1328)
| U_1344 = U_1336 )
& ! [U_1327,U_1319,U_1311,U_1335,U_1343] :
( U_1319 != U_1311
| ~ perpAt(U_1343,U_1335,U_1327,U_1319,U_1311) )
& ! [U_1318,U_1326,U_1310,U_1342,U_1334] :
( ~ perpAt(U_1342,U_1334,U_1326,U_1318,U_1310)
| U_1342 != U_1334 )
& ! [U_1341,U_1309,U_1317,U_1325,U_1333] :
( s_col(U_1317,U_1309,U_1325)
| ~ perpAt(U_1341,U_1333,U_1325,U_1317,U_1309) )
& ! [U_1308,U_1316,U_1324,U_1332,U_1340] :
( ~ perpAt(U_1340,U_1332,U_1324,U_1316,U_1308)
| s_col(U_1340,U_1332,U_1324) ) ),
inference(definitional_conversion,[status(esa)],[f_201_3]) ).
cnf(f_201_5,plain,
( ~ perpAt(U_1340,U_1332,U_1324,U_1316,U_1308)
| s_col(U_1340,U_1332,U_1324) ),
inference(clausify,[status(thm)],[f_201_4]) ).
cnf(f_201_6,plain,
( s_col(U_1317,U_1309,U_1325)
| ~ perpAt(U_1341,U_1333,U_1325,U_1317,U_1309) ),
inference(clausify,[status(thm)],[f_201_4]) ).
cnf(f_201_7,plain,
( ~ perpAt(U_1342,U_1334,U_1326,U_1318,U_1310)
| U_1342 != U_1334 ),
inference(clausify,[status(thm)],[f_201_4]) ).
cnf(f_201_8,plain,
( U_1319 != U_1311
| ~ perpAt(U_1343,U_1335,U_1327,U_1319,U_1311) ),
inference(clausify,[status(thm)],[f_201_4]) ).
cnf(f_201_9,plain,
( s_col(U_1344,U_1336,f811(U_1344,U_1336,U_1320,U_1312,U_1328))
| ~ s_col(U_1320,U_1312,U_1328)
| U_1320 = U_1312
| perpAt(U_1344,U_1336,U_1328,U_1320,U_1312)
| ~ s_col(U_1344,U_1336,U_1328)
| U_1344 = U_1336 ),
inference(clausify,[status(thm)],[f_201_4]) ).
cnf(f_201_10,plain,
( s_col(U_1321,U_1313,g811(U_1345,U_1337,U_1321,U_1313,U_1329))
| ~ s_col(U_1321,U_1313,U_1329)
| U_1321 = U_1313
| perpAt(U_1345,U_1337,U_1329,U_1321,U_1313)
| ~ s_col(U_1345,U_1337,U_1329)
| U_1345 = U_1337 ),
inference(clausify,[status(thm)],[f_201_4]) ).
cnf(f_201_11,plain,
( ~ s_r(f811(U_1346,U_1338,U_1322,U_1314,U_1330),U_1330,g811(U_1346,U_1338,U_1322,U_1314,U_1330))
| ~ s_col(U_1322,U_1314,U_1330)
| U_1322 = U_1314
| perpAt(U_1346,U_1338,U_1330,U_1322,U_1314)
| ~ s_col(U_1346,U_1338,U_1330)
| U_1346 = U_1338 ),
inference(clausify,[status(thm)],[f_201_4]) ).
cnf(f_201_12,plain,
( s_r(U_1302,U_1331,U_1301)
| ~ s_col(U_1323,U_1315,U_1301)
| ~ s_col(U_1347,U_1339,U_1302)
| ~ perpAt(U_1347,U_1339,U_1331,U_1323,U_1315) ),
inference(clausify,[status(thm)],[f_201_4]) ).
fof(f_202_1,plain,
! [Xp,Xq,Xp1,Xq1,X] :
( ( ~ perpAt(Xp,Xq,X,Xp1,Xq1)
| perp(Xp,Xq,Xp1,Xq1) )
& ( perpAt(Xp,Xq,il(Xp,Xq,Xp1,Xq1),Xp1,Xq1)
| ~ perp(Xp,Xq,Xp1,Xq1) ) ),
inference(fof_nnf,[status(thm)],[d_Defn8_11b]) ).
fof(f_202_2,plain,
! [U_1352,U_1351,U_1350,U_1349,U_1348] :
( ( ~ perpAt(U_1352,U_1351,U_1348,U_1350,U_1349)
| perp(U_1352,U_1351,U_1350,U_1349) )
& ( perpAt(U_1352,U_1351,il(U_1352,U_1351,U_1350,U_1349),U_1350,U_1349)
| ~ perp(U_1352,U_1351,U_1350,U_1349) ) ),
inference(variable_rename,[status(thm)],[f_202_1]) ).
fof(f_202_3,plain,
( ! [U_1360,U_1358,U_1356,U_1354] :
( ! [U_1348] : ~ perpAt(U_1360,U_1358,U_1348,U_1356,U_1354)
| perp(U_1360,U_1358,U_1356,U_1354) )
& ! [U_1359,U_1357,U_1355,U_1353] :
( perpAt(U_1359,U_1357,il(U_1359,U_1357,U_1355,U_1353),U_1355,U_1353)
| ~ perp(U_1359,U_1357,U_1355,U_1353) ) ),
inference(miniscope,[status(thm)],[f_202_2]) ).
fof(f_202_4,plain,
( ! [U_1360,U_1354,U_1348,U_1358,U_1356] :
( ~ perpAt(U_1360,U_1358,U_1348,U_1356,U_1354)
| perp(U_1360,U_1358,U_1356,U_1354) )
& ! [U_1357,U_1355,U_1353,U_1359] :
( perpAt(U_1359,U_1357,il(U_1359,U_1357,U_1355,U_1353),U_1355,U_1353)
| ~ perp(U_1359,U_1357,U_1355,U_1353) ) ),
inference(definitional_conversion,[status(esa)],[f_202_3]) ).
cnf(f_202_5,plain,
( perpAt(U_1359,U_1357,il(U_1359,U_1357,U_1355,U_1353),U_1355,U_1353)
| ~ perp(U_1359,U_1357,U_1355,U_1353) ),
inference(clausify,[status(thm)],[f_202_4]) ).
cnf(f_202_6,plain,
( ~ perpAt(U_1360,U_1358,U_1348,U_1356,U_1354)
| perp(U_1360,U_1358,U_1356,U_1354) ),
inference(clausify,[status(thm)],[f_202_4]) ).
fof(f_203_1,plain,
! [Xp,Xq,Xa,Xb,Xt] :
( ( s_col(Xp,Xq,il(Xa,Xb,Xp,Xq))
| ~ opposite(Xa,Xp,Xq,Xb) )
& ( s_t(Xa,il(Xa,Xb,Xp,Xq),Xb)
| ~ opposite(Xa,Xp,Xq,Xb) )
& ( ~ s_col(Xp,Xq,Xb)
| ~ opposite(Xa,Xp,Xq,Xb) )
& ( ~ s_col(Xp,Xq,Xa)
| ~ opposite(Xa,Xp,Xq,Xb) )
& ( opposite(Xa,Xp,Xq,Xb)
| ~ s_col(Xp,Xq,Xt)
| ~ s_t(Xa,Xt,Xb)
| s_col(Xp,Xq,Xb)
| s_col(Xp,Xq,Xa)
| Xp = Xq ) ),
inference(fof_nnf,[status(thm)],[d_Defn9_1]) ).
fof(f_203_2,plain,
! [U_1365,U_1364,U_1363,U_1362,U_1361] :
( ( s_col(U_1365,U_1364,il(U_1363,U_1362,U_1365,U_1364))
| ~ opposite(U_1363,U_1365,U_1364,U_1362) )
& ( s_t(U_1363,il(U_1363,U_1362,U_1365,U_1364),U_1362)
| ~ opposite(U_1363,U_1365,U_1364,U_1362) )
& ( ~ s_col(U_1365,U_1364,U_1362)
| ~ opposite(U_1363,U_1365,U_1364,U_1362) )
& ( ~ s_col(U_1365,U_1364,U_1363)
| ~ opposite(U_1363,U_1365,U_1364,U_1362) )
& ( opposite(U_1363,U_1365,U_1364,U_1362)
| ~ s_col(U_1365,U_1364,U_1361)
| ~ s_t(U_1363,U_1361,U_1362)
| s_col(U_1365,U_1364,U_1362)
| s_col(U_1365,U_1364,U_1363)
| U_1365 = U_1364 ) ),
inference(variable_rename,[status(thm)],[f_203_1]) ).
fof(f_203_3,plain,
( ! [U_1385,U_1380] :
( ! [U_1375] :
( ! [U_1370] :
( ! [U_1361] :
( ~ s_col(U_1385,U_1380,U_1361)
| ~ s_t(U_1375,U_1361,U_1370) )
| opposite(U_1375,U_1385,U_1380,U_1370)
| s_col(U_1385,U_1380,U_1370) )
| s_col(U_1385,U_1380,U_1375) )
| U_1385 = U_1380 )
& ! [U_1384,U_1379,U_1374,U_1369] :
( s_col(U_1384,U_1379,il(U_1374,U_1369,U_1384,U_1379))
| ~ opposite(U_1374,U_1384,U_1379,U_1369) )
& ! [U_1383,U_1378,U_1373,U_1368] :
( s_t(U_1373,il(U_1373,U_1368,U_1383,U_1378),U_1368)
| ~ opposite(U_1373,U_1383,U_1378,U_1368) )
& ! [U_1382,U_1377,U_1372,U_1367] :
( ~ s_col(U_1382,U_1377,U_1367)
| ~ opposite(U_1372,U_1382,U_1377,U_1367) )
& ! [U_1381,U_1376,U_1371] :
( ! [U_1366] : ~ opposite(U_1371,U_1381,U_1376,U_1366)
| ~ s_col(U_1381,U_1376,U_1371) ) ),
inference(miniscope,[status(thm)],[f_203_2]) ).
fof(f_203_4,plain,
( ! [U_1361,U_1375,U_1385,U_1370,U_1380] :
( ~ s_col(U_1385,U_1380,U_1361)
| ~ s_t(U_1375,U_1361,U_1370)
| opposite(U_1375,U_1385,U_1380,U_1370)
| s_col(U_1385,U_1380,U_1370)
| s_col(U_1385,U_1380,U_1375)
| U_1385 = U_1380 )
& ! [U_1384,U_1379,U_1369,U_1374] :
( s_col(U_1384,U_1379,il(U_1374,U_1369,U_1384,U_1379))
| ~ opposite(U_1374,U_1384,U_1379,U_1369) )
& ! [U_1368,U_1383,U_1373,U_1378] :
( s_t(U_1373,il(U_1373,U_1368,U_1383,U_1378),U_1368)
| ~ opposite(U_1373,U_1383,U_1378,U_1368) )
& ! [U_1382,U_1372,U_1377,U_1367] :
( ~ s_col(U_1382,U_1377,U_1367)
| ~ opposite(U_1372,U_1382,U_1377,U_1367) )
& ! [U_1371,U_1381,U_1376,U_1366] :
( ~ opposite(U_1371,U_1381,U_1376,U_1366)
| ~ s_col(U_1381,U_1376,U_1371) ) ),
inference(definitional_conversion,[status(esa)],[f_203_3]) ).
cnf(f_203_5,plain,
( ~ opposite(U_1371,U_1381,U_1376,U_1366)
| ~ s_col(U_1381,U_1376,U_1371) ),
inference(clausify,[status(thm)],[f_203_4]) ).
cnf(f_203_6,plain,
( ~ s_col(U_1382,U_1377,U_1367)
| ~ opposite(U_1372,U_1382,U_1377,U_1367) ),
inference(clausify,[status(thm)],[f_203_4]) ).
cnf(f_203_7,plain,
( s_t(U_1373,il(U_1373,U_1368,U_1383,U_1378),U_1368)
| ~ opposite(U_1373,U_1383,U_1378,U_1368) ),
inference(clausify,[status(thm)],[f_203_4]) ).
cnf(f_203_8,plain,
( s_col(U_1384,U_1379,il(U_1374,U_1369,U_1384,U_1379))
| ~ opposite(U_1374,U_1384,U_1379,U_1369) ),
inference(clausify,[status(thm)],[f_203_4]) ).
cnf(f_203_9,plain,
( ~ s_col(U_1385,U_1380,U_1361)
| ~ s_t(U_1375,U_1361,U_1370)
| opposite(U_1375,U_1385,U_1380,U_1370)
| s_col(U_1385,U_1380,U_1370)
| s_col(U_1385,U_1380,U_1375)
| U_1385 = U_1380 ),
inference(clausify,[status(thm)],[f_203_4]) ).
fof(f_204_1,plain,
! [Xa,Xb,Xp,Xq,Xu,Xc,Xv] :
( ( samesideline(Xa,Xb,Xp,Xq)
| s_col(Xp,Xq,Xb)
| s_col(Xp,Xq,Xa)
| Xb = Xv
| Xa = Xu
| Xc = Xv
| Xc = Xu
| Xp = Xq
| ~ s_col(Xp,Xq,Xv)
| ~ s_col(Xp,Xq,Xu)
| ~ s_t(Xb,Xv,Xc)
| ~ s_t(Xa,Xu,Xc) )
& ( ~ s_col(Xp,Xq,Xb)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( ~ s_col(Xp,Xq,Xa)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( Xp != Xq
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( ss3(Xa,Xb,Xp,Xq) != ss2(Xa,Xb,Xp,Xq)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( ss3(Xa,Xb,Xp,Xq) != ss1(Xa,Xb,Xp,Xq)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( Xb != ss2(Xa,Xb,Xp,Xq)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( Xa != ss1(Xa,Xb,Xp,Xq)
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( s_t(Xb,ss2(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq))
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( s_t(Xa,ss1(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq))
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( s_col(Xp,Xq,ss2(Xa,Xb,Xp,Xq))
| ~ samesideline(Xa,Xb,Xp,Xq) )
& ( s_col(Xp,Xq,ss1(Xa,Xb,Xp,Xq))
| ~ samesideline(Xa,Xb,Xp,Xq) ) ),
inference(fof_nnf,[status(thm)],[d_Defn9_7]) ).
fof(f_204_2,plain,
! [U_1392,U_1391,U_1390,U_1389,U_1388,U_1387,U_1386] :
( ( samesideline(U_1392,U_1391,U_1390,U_1389)
| s_col(U_1390,U_1389,U_1391)
| s_col(U_1390,U_1389,U_1392)
| U_1391 = U_1386
| U_1392 = U_1388
| U_1387 = U_1386
| U_1387 = U_1388
| U_1390 = U_1389
| ~ s_col(U_1390,U_1389,U_1386)
| ~ s_col(U_1390,U_1389,U_1388)
| ~ s_t(U_1391,U_1386,U_1387)
| ~ s_t(U_1392,U_1388,U_1387) )
& ( ~ s_col(U_1390,U_1389,U_1391)
| ~ samesideline(U_1392,U_1391,U_1390,U_1389) )
& ( ~ s_col(U_1390,U_1389,U_1392)
| ~ samesideline(U_1392,U_1391,U_1390,U_1389) )
& ( U_1390 != U_1389
| ~ samesideline(U_1392,U_1391,U_1390,U_1389) )
& ( ss3(U_1392,U_1391,U_1390,U_1389) != ss2(U_1392,U_1391,U_1390,U_1389)
| ~ samesideline(U_1392,U_1391,U_1390,U_1389) )
& ( ss3(U_1392,U_1391,U_1390,U_1389) != ss1(U_1392,U_1391,U_1390,U_1389)
| ~ samesideline(U_1392,U_1391,U_1390,U_1389) )
& ( U_1391 != ss2(U_1392,U_1391,U_1390,U_1389)
| ~ samesideline(U_1392,U_1391,U_1390,U_1389) )
& ( U_1392 != ss1(U_1392,U_1391,U_1390,U_1389)
| ~ samesideline(U_1392,U_1391,U_1390,U_1389) )
& ( s_t(U_1391,ss2(U_1392,U_1391,U_1390,U_1389),ss3(U_1392,U_1391,U_1390,U_1389))
| ~ samesideline(U_1392,U_1391,U_1390,U_1389) )
& ( s_t(U_1392,ss1(U_1392,U_1391,U_1390,U_1389),ss3(U_1392,U_1391,U_1390,U_1389))
| ~ samesideline(U_1392,U_1391,U_1390,U_1389) )
& ( s_col(U_1390,U_1389,ss2(U_1392,U_1391,U_1390,U_1389))
| ~ samesideline(U_1392,U_1391,U_1390,U_1389) )
& ( s_col(U_1390,U_1389,ss1(U_1392,U_1391,U_1390,U_1389))
| ~ samesideline(U_1392,U_1391,U_1390,U_1389) ) ),
inference(variable_rename,[status(thm)],[f_204_1]) ).
fof(f_204_3,plain,
( ! [U_1440,U_1428,U_1416,U_1404] :
( ! [U_1388] :
( ! [U_1387] :
( ! [U_1386] :
( U_1428 = U_1386
| U_1387 = U_1386
| ~ s_col(U_1416,U_1404,U_1386)
| ~ s_t(U_1428,U_1386,U_1387) )
| U_1387 = U_1388
| ~ s_t(U_1440,U_1388,U_1387) )
| U_1440 = U_1388
| ~ s_col(U_1416,U_1404,U_1388) )
| samesideline(U_1440,U_1428,U_1416,U_1404)
| s_col(U_1416,U_1404,U_1428)
| s_col(U_1416,U_1404,U_1440)
| U_1416 = U_1404 )
& ! [U_1439,U_1427,U_1415,U_1403] :
( ~ s_col(U_1415,U_1403,U_1427)
| ~ samesideline(U_1439,U_1427,U_1415,U_1403) )
& ! [U_1438,U_1426,U_1414,U_1402] :
( ~ s_col(U_1414,U_1402,U_1438)
| ~ samesideline(U_1438,U_1426,U_1414,U_1402) )
& ! [U_1437,U_1425,U_1413,U_1401] :
( U_1413 != U_1401
| ~ samesideline(U_1437,U_1425,U_1413,U_1401) )
& ! [U_1436,U_1424,U_1412,U_1400] :
( ss3(U_1436,U_1424,U_1412,U_1400) != ss2(U_1436,U_1424,U_1412,U_1400)
| ~ samesideline(U_1436,U_1424,U_1412,U_1400) )
& ! [U_1435,U_1423,U_1411,U_1399] :
( ss3(U_1435,U_1423,U_1411,U_1399) != ss1(U_1435,U_1423,U_1411,U_1399)
| ~ samesideline(U_1435,U_1423,U_1411,U_1399) )
& ! [U_1434,U_1422,U_1410,U_1398] :
( U_1422 != ss2(U_1434,U_1422,U_1410,U_1398)
| ~ samesideline(U_1434,U_1422,U_1410,U_1398) )
& ! [U_1433,U_1421,U_1409,U_1397] :
( U_1433 != ss1(U_1433,U_1421,U_1409,U_1397)
| ~ samesideline(U_1433,U_1421,U_1409,U_1397) )
& ! [U_1432,U_1420,U_1408,U_1396] :
( s_t(U_1420,ss2(U_1432,U_1420,U_1408,U_1396),ss3(U_1432,U_1420,U_1408,U_1396))
| ~ samesideline(U_1432,U_1420,U_1408,U_1396) )
& ! [U_1431,U_1419,U_1407,U_1395] :
( s_t(U_1431,ss1(U_1431,U_1419,U_1407,U_1395),ss3(U_1431,U_1419,U_1407,U_1395))
| ~ samesideline(U_1431,U_1419,U_1407,U_1395) )
& ! [U_1430,U_1418,U_1406,U_1394] :
( s_col(U_1406,U_1394,ss2(U_1430,U_1418,U_1406,U_1394))
| ~ samesideline(U_1430,U_1418,U_1406,U_1394) )
& ! [U_1429,U_1417,U_1405,U_1393] :
( s_col(U_1405,U_1393,ss1(U_1429,U_1417,U_1405,U_1393))
| ~ samesideline(U_1429,U_1417,U_1405,U_1393) ) ),
inference(miniscope,[status(thm)],[f_204_2]) ).
fof(f_204_4,plain,
( ! [U_1416,U_1428,U_1388,U_1386,U_1387,U_1440,U_1404] :
( U_1428 = U_1386
| U_1387 = U_1386
| ~ s_col(U_1416,U_1404,U_1386)
| ~ s_t(U_1428,U_1386,U_1387)
| U_1387 = U_1388
| ~ s_t(U_1440,U_1388,U_1387)
| U_1440 = U_1388
| ~ s_col(U_1416,U_1404,U_1388)
| samesideline(U_1440,U_1428,U_1416,U_1404)
| s_col(U_1416,U_1404,U_1428)
| s_col(U_1416,U_1404,U_1440)
| U_1416 = U_1404 )
& ! [U_1439,U_1415,U_1403,U_1427] :
( ~ s_col(U_1415,U_1403,U_1427)
| ~ samesideline(U_1439,U_1427,U_1415,U_1403) )
& ! [U_1426,U_1402,U_1414,U_1438] :
( ~ s_col(U_1414,U_1402,U_1438)
| ~ samesideline(U_1438,U_1426,U_1414,U_1402) )
& ! [U_1425,U_1437,U_1401,U_1413] :
( U_1413 != U_1401
| ~ samesideline(U_1437,U_1425,U_1413,U_1401) )
& ! [U_1436,U_1400,U_1412,U_1424] :
( ss3(U_1436,U_1424,U_1412,U_1400) != ss2(U_1436,U_1424,U_1412,U_1400)
| ~ samesideline(U_1436,U_1424,U_1412,U_1400) )
& ! [U_1435,U_1423,U_1411,U_1399] :
( ss3(U_1435,U_1423,U_1411,U_1399) != ss1(U_1435,U_1423,U_1411,U_1399)
| ~ samesideline(U_1435,U_1423,U_1411,U_1399) )
& ! [U_1434,U_1398,U_1410,U_1422] :
( U_1422 != ss2(U_1434,U_1422,U_1410,U_1398)
| ~ samesideline(U_1434,U_1422,U_1410,U_1398) )
& ! [U_1433,U_1421,U_1397,U_1409] :
( U_1433 != ss1(U_1433,U_1421,U_1409,U_1397)
| ~ samesideline(U_1433,U_1421,U_1409,U_1397) )
& ! [U_1420,U_1396,U_1408,U_1432] :
( s_t(U_1420,ss2(U_1432,U_1420,U_1408,U_1396),ss3(U_1432,U_1420,U_1408,U_1396))
| ~ samesideline(U_1432,U_1420,U_1408,U_1396) )
& ! [U_1419,U_1395,U_1431,U_1407] :
( s_t(U_1431,ss1(U_1431,U_1419,U_1407,U_1395),ss3(U_1431,U_1419,U_1407,U_1395))
| ~ samesideline(U_1431,U_1419,U_1407,U_1395) )
& ! [U_1394,U_1406,U_1430,U_1418] :
( s_col(U_1406,U_1394,ss2(U_1430,U_1418,U_1406,U_1394))
| ~ samesideline(U_1430,U_1418,U_1406,U_1394) )
& ! [U_1393,U_1429,U_1417,U_1405] :
( s_col(U_1405,U_1393,ss1(U_1429,U_1417,U_1405,U_1393))
| ~ samesideline(U_1429,U_1417,U_1405,U_1393) ) ),
inference(definitional_conversion,[status(esa)],[f_204_3]) ).
cnf(f_204_5,plain,
( s_col(U_1405,U_1393,ss1(U_1429,U_1417,U_1405,U_1393))
| ~ samesideline(U_1429,U_1417,U_1405,U_1393) ),
inference(clausify,[status(thm)],[f_204_4]) ).
cnf(f_204_6,plain,
( s_col(U_1406,U_1394,ss2(U_1430,U_1418,U_1406,U_1394))
| ~ samesideline(U_1430,U_1418,U_1406,U_1394) ),
inference(clausify,[status(thm)],[f_204_4]) ).
cnf(f_204_7,plain,
( s_t(U_1431,ss1(U_1431,U_1419,U_1407,U_1395),ss3(U_1431,U_1419,U_1407,U_1395))
| ~ samesideline(U_1431,U_1419,U_1407,U_1395) ),
inference(clausify,[status(thm)],[f_204_4]) ).
cnf(f_204_8,plain,
( s_t(U_1420,ss2(U_1432,U_1420,U_1408,U_1396),ss3(U_1432,U_1420,U_1408,U_1396))
| ~ samesideline(U_1432,U_1420,U_1408,U_1396) ),
inference(clausify,[status(thm)],[f_204_4]) ).
cnf(f_204_9,plain,
( U_1433 != ss1(U_1433,U_1421,U_1409,U_1397)
| ~ samesideline(U_1433,U_1421,U_1409,U_1397) ),
inference(clausify,[status(thm)],[f_204_4]) ).
cnf(f_204_10,plain,
( U_1422 != ss2(U_1434,U_1422,U_1410,U_1398)
| ~ samesideline(U_1434,U_1422,U_1410,U_1398) ),
inference(clausify,[status(thm)],[f_204_4]) ).
cnf(f_204_11,plain,
( ss3(U_1435,U_1423,U_1411,U_1399) != ss1(U_1435,U_1423,U_1411,U_1399)
| ~ samesideline(U_1435,U_1423,U_1411,U_1399) ),
inference(clausify,[status(thm)],[f_204_4]) ).
cnf(f_204_12,plain,
( ss3(U_1436,U_1424,U_1412,U_1400) != ss2(U_1436,U_1424,U_1412,U_1400)
| ~ samesideline(U_1436,U_1424,U_1412,U_1400) ),
inference(clausify,[status(thm)],[f_204_4]) ).
cnf(f_204_13,plain,
( U_1413 != U_1401
| ~ samesideline(U_1437,U_1425,U_1413,U_1401) ),
inference(clausify,[status(thm)],[f_204_4]) ).
cnf(f_204_14,plain,
( ~ s_col(U_1414,U_1402,U_1438)
| ~ samesideline(U_1438,U_1426,U_1414,U_1402) ),
inference(clausify,[status(thm)],[f_204_4]) ).
cnf(f_204_15,plain,
( ~ s_col(U_1415,U_1403,U_1427)
| ~ samesideline(U_1439,U_1427,U_1415,U_1403) ),
inference(clausify,[status(thm)],[f_204_4]) ).
cnf(f_204_16,plain,
( U_1428 = U_1386
| U_1387 = U_1386
| ~ s_col(U_1416,U_1404,U_1386)
| ~ s_t(U_1428,U_1386,U_1387)
| U_1387 = U_1388
| ~ s_t(U_1440,U_1388,U_1387)
| U_1440 = U_1388
| ~ s_col(U_1416,U_1404,U_1388)
| samesideline(U_1440,U_1428,U_1416,U_1404)
| s_col(U_1416,U_1404,U_1428)
| s_col(U_1416,U_1404,U_1440)
| U_1416 = U_1404 ),
inference(clausify,[status(thm)],[f_204_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,
( isomidpoint(Eq_x_0,Eq_x_1,Eq_x_2) = isomidpoint(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_14,axiom,
( f813(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = f813(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_15,axiom,
( g813(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = g813(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_16,axiom,
( il(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = il(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_17,axiom,
( foot(Eq_x_0,Eq_x_1,Eq_x_2) = foot(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_18,axiom,
( erect21a(Eq_x_0,Eq_x_1,Eq_x_2) = erect21a(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_19,axiom,
( erectAux21a(Eq_x_0,Eq_x_1,Eq_x_2) = erectAux21a(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_20,axiom,
( erect(Eq_x_0,Eq_x_1,Eq_x_2) = erect(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_21,axiom,
( erectAux(Eq_x_0,Eq_x_1,Eq_x_2) = erectAux(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_22,axiom,
( midpointAux(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = midpointAux(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_23,axiom,
( midpoint(Eq_x_0,Eq_x_1) = midpoint(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( op(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = op(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_25,axiom,
( reflect(Eq_x_0,Eq_x_1,Eq_x_2) = reflect(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_26,axiom,
( f811(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = f811(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_27,axiom,
( g811(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = g811(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_28,axiom,
( ss1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = ss1(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_29,axiom,
( ss2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = ss2(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_30,axiom,
( ss3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = ss3(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_31,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_32,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_33,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_34,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_35,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_36,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_37,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_38,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_39,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_40,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_41,axiom,
( s_r(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ s_r(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_42,axiom,
( perpAt(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ perpAt(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_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_predicates]) ).
cnf(equality_43,axiom,
( perp(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ perp(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_44,axiom,
( samesideline(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ samesideline(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_45,axiom,
( opposite(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ opposite(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_46,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
% 0.00/0.03 % Problem : GEO524+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 19 08:08:23 UTC 2026
% 0.12/0.38 % CPUTime :
% 150.26/150.50 % SZS status Theorem for theBenchmark
% 150.26/150.50 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------