%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO494+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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:40:25 AM UTC 2026
% Result : Theorem 150.24s 150.54s
% Output : Proof 150.66s
% 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,conjecture,
! [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(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(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_7,U_2,U_3,U_4,U_5] :
( s_e(U_5,U_4,U_3,U_2)
| ~ s_e(U_7,U_6,U_3,U_2)
| ~ s_e(U_7,U_6,U_5,U_4) ),
inference(definitional_conversion,[status(esa)],[f_2_3]) ).
cnf(f_2_5,plain,
( s_e(U_5,U_4,U_3,U_2)
| ~ s_e(U_7,U_6,U_3,U_2)
| ~ s_e(U_7,U_6,U_5,U_4) ),
inference(clausify,[status(thm)],[f_2_4]) ).
fof(f_3_1,plain,
! [X,Y,Z] :
( X = Y
| ~ s_e(X,Y,Z,Z) ),
inference(fof_nnf,[status(thm)],[aA3]) ).
fof(f_3_2,plain,
! [U_10,U_9,U_8] :
( U_10 = U_9
| ~ s_e(U_10,U_9,U_8,U_8) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_10,U_9] :
( ! [U_8] : ~ s_e(U_10,U_9,U_8,U_8)
| U_10 = U_9 ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
! [U_8,U_10,U_9] :
( ~ s_e(U_10,U_9,U_8,U_8)
| U_10 = U_9 ),
inference(definitional_conversion,[status(esa)],[f_3_3]) ).
cnf(f_3_5,plain,
( ~ s_e(U_10,U_9,U_8,U_8)
| U_10 = U_9 ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
! [X,Y,W,V] :
( s_e(Y,ext(X,Y,W,V),W,V)
& s_t(X,Y,ext(X,Y,W,V)) ),
inference(fof_nnf,[status(thm)],[aA4]) ).
fof(f_4_2,plain,
! [U_14,U_13,U_12,U_11] :
( s_e(U_13,ext(U_14,U_13,U_12,U_11),U_12,U_11)
& s_t(U_14,U_13,ext(U_14,U_13,U_12,U_11)) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_22,U_20,U_18,U_16] : s_e(U_20,ext(U_22,U_20,U_18,U_16),U_18,U_16)
& ! [U_21,U_19,U_17,U_15] : s_t(U_21,U_19,ext(U_21,U_19,U_17,U_15)) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_20,U_16,U_22,U_18] : s_e(U_20,ext(U_22,U_20,U_18,U_16),U_18,U_16)
& ! [U_15,U_17,U_19,U_21] : 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_23,U_24,U_25,U_26,U_27,U_28,U_29,U_30] :
( 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_41,U_47,U_45,U_43] :
( 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_38,U_46,U_40,U_42,U_44] :
( 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_49,U_48] : 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_52,U_53,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(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_55,U_56,U_54,U_59,U_58,U_57] :
( 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_60,U_61,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_67,U_65,U_66,U_64] :
( s_e(U_67,U_66,U_64,U_65)
| ~ s_e(U_67,U_66,U_65,U_64) ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( s_e(U_67,U_66,U_64,U_65)
| ~ s_e(U_67,U_66,U_65,U_64) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [Xa,Xb] : s_e(Xa,Xa,Xb,Xb),
inference(fof_nnf,[status(thm)],[aSatz2_8]) ).
fof(f_14_2,plain,
! [U_69,U_68] : s_e(U_69,U_69,U_68,U_68),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_69,U_68] : s_e(U_69,U_69,U_68,U_68),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
s_e(U_69,U_69,U_68,U_68),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_e(Xa,Xc,Xa1,Xc1)
| ~ s_e(Xb,Xc,Xb1,Xc1)
| ~ s_e(Xa,Xb,Xa1,Xb1)
| ~ s_t(Xa1,Xb1,Xc1)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz2_11]) ).
fof(f_15_2,plain,
! [U_75,U_74,U_73,U_72,U_71,U_70] :
( s_e(U_75,U_73,U_72,U_70)
| ~ s_e(U_74,U_73,U_71,U_70)
| ~ s_e(U_75,U_74,U_72,U_71)
| ~ s_t(U_72,U_71,U_70)
| ~ s_t(U_75,U_74,U_73) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_75,U_74,U_73] :
( ! [U_72,U_71] :
( ! [U_70] :
( s_e(U_75,U_73,U_72,U_70)
| ~ s_e(U_74,U_73,U_71,U_70)
| ~ s_t(U_72,U_71,U_70) )
| ~ s_e(U_75,U_74,U_72,U_71) )
| ~ s_t(U_75,U_74,U_73) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
! [U_71,U_72,U_73,U_74,U_75,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(definitional_conversion,[status(esa)],[f_15_3]) ).
cnf(f_15_5,plain,
( s_e(U_75,U_73,U_72,U_70)
| ~ s_e(U_74,U_73,U_71,U_70)
| ~ s_t(U_72,U_71,U_70)
| ~ s_e(U_75,U_74,U_72,U_71)
| ~ s_t(U_75,U_74,U_73) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_16_1,plain,
! [Xq,Xa,Xd,Xb,Xc] :
( Xd = ext(Xq,Xa,Xb,Xc)
| ~ s_e(Xa,Xd,Xb,Xc)
| ~ s_t(Xq,Xa,Xd)
| Xq = Xa ),
inference(fof_nnf,[status(thm)],[aSatz2_12]) ).
fof(f_16_2,plain,
! [U_80,U_79,U_78,U_77,U_76] :
( U_78 = ext(U_80,U_79,U_77,U_76)
| ~ s_e(U_79,U_78,U_77,U_76)
| ~ s_t(U_80,U_79,U_78)
| U_80 = U_79 ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_80,U_79] :
( ! [U_78] :
( ! [U_77,U_76] :
( U_78 = ext(U_80,U_79,U_77,U_76)
| ~ s_e(U_79,U_78,U_77,U_76) )
| ~ s_t(U_80,U_79,U_78) )
| U_80 = U_79 ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
! [U_79,U_80,U_78,U_76,U_77] :
( U_78 = ext(U_80,U_79,U_77,U_76)
| ~ s_e(U_79,U_78,U_77,U_76)
| ~ s_t(U_80,U_79,U_78)
| U_80 = U_79 ),
inference(definitional_conversion,[status(esa)],[f_16_3]) ).
cnf(f_16_5,plain,
( U_78 = ext(U_80,U_79,U_77,U_76)
| ~ s_e(U_79,U_78,U_77,U_76)
| ~ s_t(U_80,U_79,U_78)
| U_80 = U_79 ),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_17_1,plain,
! [Xb,Xc,Xa] :
( Xb = Xc
| ~ s_e(Xb,Xc,Xa,Xa) ),
inference(fof_nnf,[status(thm)],[aSatz2_13]) ).
fof(f_17_2,plain,
! [U_83,U_82,U_81] :
( U_83 = U_82
| ~ s_e(U_83,U_82,U_81,U_81) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_83,U_82] :
( ! [U_81] : ~ s_e(U_83,U_82,U_81,U_81)
| U_83 = U_82 ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
! [U_82,U_81,U_83] :
( ~ s_e(U_83,U_82,U_81,U_81)
| U_83 = U_82 ),
inference(definitional_conversion,[status(esa)],[f_17_3]) ).
cnf(f_17_5,plain,
( ~ s_e(U_83,U_82,U_81,U_81)
| U_83 = U_82 ),
inference(clausify,[status(thm)],[f_17_4]) ).
fof(f_18_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_e(Xb,Xa,Xd,Xc)
| ~ s_e(Xa,Xb,Xc,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz2_14]) ).
fof(f_18_2,plain,
! [U_87,U_86,U_85,U_84] :
( s_e(U_86,U_87,U_84,U_85)
| ~ s_e(U_87,U_86,U_85,U_84) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_84,U_85,U_86,U_87] :
( s_e(U_86,U_87,U_84,U_85)
| ~ s_e(U_87,U_86,U_85,U_84) ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( s_e(U_86,U_87,U_84,U_85)
| ~ s_e(U_87,U_86,U_85,U_84) ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [Xa,Xb,Xc,XA,XB,XC] :
( s_e(Xa,Xc,XA,XC)
| ~ s_e(Xb,Xc,XA,XB)
| ~ s_e(Xa,Xb,XB,XC)
| ~ s_t(XA,XB,XC)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz2_15]) ).
fof(f_19_2,plain,
! [U_93,U_92,U_91,U_90,U_89,U_88] :
( s_e(U_93,U_91,U_90,U_88)
| ~ s_e(U_92,U_91,U_90,U_89)
| ~ s_e(U_93,U_92,U_89,U_88)
| ~ s_t(U_90,U_89,U_88)
| ~ s_t(U_93,U_92,U_91) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_93,U_92,U_91] :
( ! [U_90,U_89] :
( ! [U_88] :
( s_e(U_93,U_91,U_90,U_88)
| ~ s_e(U_93,U_92,U_89,U_88)
| ~ s_t(U_90,U_89,U_88) )
| ~ s_e(U_92,U_91,U_90,U_89) )
| ~ s_t(U_93,U_92,U_91) ),
inference(miniscope,[status(thm)],[f_19_2]) ).
fof(f_19_4,plain,
! [U_91,U_90,U_88,U_89,U_92,U_93] :
( 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_98,U_96,U_97] :
( 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_100,U_99] : 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_101,U_102,U_103] :
( ~ s_t(U_102,U_103,U_101)
| ~ s_t(U_103,U_102,U_101)
| U_103 = U_102 ),
inference(definitional_conversion,[status(esa)],[f_23_3]) ).
cnf(f_23_5,plain,
( ~ s_t(U_102,U_103,U_101)
| ~ s_t(U_103,U_102,U_101)
| U_103 = U_102 ),
inference(clausify,[status(thm)],[f_23_4]) ).
fof(f_24_1,plain,
! [Xa,Xb,Xd,Xc] :
( s_t(Xa,Xb,Xc)
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz3_5a]) ).
fof(f_24_2,plain,
! [U_107,U_106,U_105,U_104] :
( s_t(U_107,U_106,U_104)
| ~ s_t(U_106,U_104,U_105)
| ~ s_t(U_107,U_106,U_105) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
! [U_107,U_106,U_105] :
( ! [U_104] :
( s_t(U_107,U_106,U_104)
| ~ s_t(U_106,U_104,U_105) )
| ~ s_t(U_107,U_106,U_105) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
fof(f_24_4,plain,
! [U_106,U_105,U_104,U_107] :
( s_t(U_107,U_106,U_104)
| ~ s_t(U_106,U_104,U_105)
| ~ s_t(U_107,U_106,U_105) ),
inference(definitional_conversion,[status(esa)],[f_24_3]) ).
cnf(f_24_5,plain,
( s_t(U_107,U_106,U_104)
| ~ s_t(U_106,U_104,U_105)
| ~ s_t(U_107,U_106,U_105) ),
inference(clausify,[status(thm)],[f_24_4]) ).
fof(f_25_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz3_6a]) ).
fof(f_25_2,plain,
! [U_111,U_110,U_109,U_108] :
( s_t(U_110,U_109,U_108)
| ~ s_t(U_111,U_109,U_108)
| ~ s_t(U_111,U_110,U_109) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
! [U_111,U_110,U_109] :
( ! [U_108] :
( s_t(U_110,U_109,U_108)
| ~ s_t(U_111,U_109,U_108) )
| ~ s_t(U_111,U_110,U_109) ),
inference(miniscope,[status(thm)],[f_25_2]) ).
fof(f_25_4,plain,
! [U_110,U_109,U_108,U_111] :
( s_t(U_110,U_109,U_108)
| ~ s_t(U_111,U_109,U_108)
| ~ s_t(U_111,U_110,U_109) ),
inference(definitional_conversion,[status(esa)],[f_25_3]) ).
cnf(f_25_5,plain,
( s_t(U_110,U_109,U_108)
| ~ s_t(U_111,U_109,U_108)
| ~ s_t(U_111,U_110,U_109) ),
inference(clausify,[status(thm)],[f_25_4]) ).
fof(f_26_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_t(Xa,Xc,Xd)
| Xb = Xc
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz3_7a]) ).
fof(f_26_2,plain,
! [U_115,U_114,U_113,U_112] :
( s_t(U_115,U_113,U_112)
| U_114 = U_113
| ~ s_t(U_114,U_113,U_112)
| ~ s_t(U_115,U_114,U_113) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
! [U_115,U_114,U_113] :
( ! [U_112] :
( s_t(U_115,U_113,U_112)
| ~ s_t(U_114,U_113,U_112) )
| U_114 = U_113
| ~ s_t(U_115,U_114,U_113) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
fof(f_26_4,plain,
! [U_114,U_113,U_112,U_115] :
( s_t(U_115,U_113,U_112)
| ~ s_t(U_114,U_113,U_112)
| U_114 = U_113
| ~ s_t(U_115,U_114,U_113) ),
inference(definitional_conversion,[status(esa)],[f_26_3]) ).
cnf(f_26_5,plain,
( s_t(U_115,U_113,U_112)
| ~ s_t(U_114,U_113,U_112)
| U_114 = U_113
| ~ s_t(U_115,U_114,U_113) ),
inference(clausify,[status(thm)],[f_26_4]) ).
fof(f_27_1,plain,
! [Xa,Xb,Xd,Xc] :
( s_t(Xa,Xc,Xd)
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xd) ),
inference(fof_nnf,[status(thm)],[aSatz3_5b]) ).
fof(f_27_2,plain,
! [U_119,U_118,U_117,U_116] :
( s_t(U_119,U_116,U_117)
| ~ s_t(U_118,U_116,U_117)
| ~ s_t(U_119,U_118,U_117) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
! [U_119,U_118,U_117] :
( ! [U_116] :
( s_t(U_119,U_116,U_117)
| ~ s_t(U_118,U_116,U_117) )
| ~ s_t(U_119,U_118,U_117) ),
inference(miniscope,[status(thm)],[f_27_2]) ).
fof(f_27_4,plain,
! [U_119,U_118,U_117,U_116] :
( s_t(U_119,U_116,U_117)
| ~ s_t(U_118,U_116,U_117)
| ~ s_t(U_119,U_118,U_117) ),
inference(definitional_conversion,[status(esa)],[f_27_3]) ).
cnf(f_27_5,plain,
( s_t(U_119,U_116,U_117)
| ~ s_t(U_118,U_116,U_117)
| ~ s_t(U_119,U_118,U_117) ),
inference(clausify,[status(thm)],[f_27_4]) ).
fof(f_28_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_t(Xa,Xb,Xd)
| ~ s_t(Xa,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz3_6b]) ).
fof(f_28_2,plain,
! [U_123,U_122,U_121,U_120] :
( s_t(U_123,U_122,U_120)
| ~ s_t(U_123,U_121,U_120)
| ~ s_t(U_123,U_122,U_121) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
! [U_123,U_122,U_121] :
( ! [U_120] :
( s_t(U_123,U_122,U_120)
| ~ s_t(U_123,U_121,U_120) )
| ~ s_t(U_123,U_122,U_121) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
fof(f_28_4,plain,
! [U_121,U_122,U_120,U_123] :
( s_t(U_123,U_122,U_120)
| ~ s_t(U_123,U_121,U_120)
| ~ s_t(U_123,U_122,U_121) ),
inference(definitional_conversion,[status(esa)],[f_28_3]) ).
cnf(f_28_5,plain,
( s_t(U_123,U_122,U_120)
| ~ s_t(U_123,U_121,U_120)
| ~ s_t(U_123,U_122,U_121) ),
inference(clausify,[status(thm)],[f_28_4]) ).
fof(f_29_1,plain,
! [Xa,Xb,Xc,Xd] :
( s_t(Xa,Xb,Xd)
| Xb = Xc
| ~ s_t(Xb,Xc,Xd)
| ~ s_t(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz3_7b]) ).
fof(f_29_2,plain,
! [U_127,U_126,U_125,U_124] :
( s_t(U_127,U_126,U_124)
| U_126 = U_125
| ~ s_t(U_126,U_125,U_124)
| ~ s_t(U_127,U_126,U_125) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
! [U_127,U_126,U_125] :
( ! [U_124] :
( s_t(U_127,U_126,U_124)
| ~ s_t(U_126,U_125,U_124) )
| U_126 = U_125
| ~ s_t(U_127,U_126,U_125) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
! [U_125,U_124,U_126,U_127] :
( 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_145,U_139,U_143,U_147,U_141,U_149] :
( 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_144,U_138,U_142,U_140,U_146,U_148] :
( s_t(U_138,crossbar(U_148,U_146,U_144,U_142,U_140,U_138),U_144)
| ~ s_t(U_148,U_138,U_142)
| ~ s_t(U_142,U_140,U_144)
| ~ s_t(U_148,U_146,U_144) ) ),
inference(definitional_conversion,[status(esa)],[f_35_3]) ).
cnf(f_35_5,plain,
( s_t(U_138,crossbar(U_148,U_146,U_144,U_142,U_140,U_138),U_144)
| ~ s_t(U_148,U_138,U_142)
| ~ s_t(U_142,U_140,U_144)
| ~ s_t(U_148,U_146,U_144) ),
inference(clausify,[status(thm)],[f_35_4]) ).
cnf(f_35_6,plain,
( s_t(U_147,crossbar(U_149,U_147,U_145,U_143,U_141,U_139),U_141)
| ~ s_t(U_149,U_139,U_143)
| ~ s_t(U_143,U_141,U_145)
| ~ s_t(U_149,U_147,U_145) ),
inference(clausify,[status(thm)],[f_35_4]) ).
fof(f_36_1,plain,
! [Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1] :
( s_e(Xb,Xd,Xb1,Xd1)
| ~ s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) ),
inference(fof_nnf,[status(thm)],[aSatz4_2]) ).
fof(f_36_2,plain,
! [U_157,U_156,U_155,U_154,U_153,U_152,U_151,U_150] :
( s_e(U_156,U_154,U_152,U_150)
| ~ s_ifs(U_157,U_156,U_155,U_154,U_153,U_152,U_151,U_150) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
! [U_156,U_150,U_151,U_157,U_155,U_154,U_152,U_153] :
( 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_161,U_160,U_163,U_158,U_159,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_174,U_176,U_172,U_178,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_173,U_171,U_177,U_175,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(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_179,U_182,U_180,U_181,U_184,U_183] :
( 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_187,U_186,U_185] :
( 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_190,U_189,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_191,U_192,U_193] :
( s_col(U_191,U_192,U_193)
| ~ s_col(U_193,U_192,U_191) ),
inference(definitional_conversion,[status(esa)],[f_42_2]) ).
cnf(f_42_4,plain,
( s_col(U_191,U_192,U_193)
| ~ s_col(U_193,U_192,U_191) ),
inference(clausify,[status(thm)],[f_42_3]) ).
fof(f_43_1,plain,
! [Xa,Xb,Xc] :
( s_col(Xb,Xa,Xc)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_11d]) ).
fof(f_43_2,plain,
! [U_196,U_195,U_194] :
( s_col(U_195,U_196,U_194)
| ~ s_col(U_196,U_195,U_194) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
! [U_195,U_196,U_194] :
( s_col(U_195,U_196,U_194)
| ~ s_col(U_196,U_195,U_194) ),
inference(definitional_conversion,[status(esa)],[f_43_2]) ).
cnf(f_43_4,plain,
( s_col(U_195,U_196,U_194)
| ~ s_col(U_196,U_195,U_194) ),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_44_1,plain,
! [Xa,Xb,Xc] :
( s_col(Xa,Xc,Xb)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_11e]) ).
fof(f_44_2,plain,
! [U_199,U_198,U_197] :
( s_col(U_199,U_197,U_198)
| ~ s_col(U_199,U_198,U_197) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
! [U_197,U_198,U_199] :
( s_col(U_199,U_197,U_198)
| ~ s_col(U_199,U_198,U_197) ),
inference(definitional_conversion,[status(esa)],[f_44_2]) ).
cnf(f_44_4,plain,
( s_col(U_199,U_197,U_198)
| ~ s_col(U_199,U_198,U_197) ),
inference(clausify,[status(thm)],[f_44_3]) ).
fof(f_45_1,plain,
! [Xa,Xb] : s_col(Xa,Xa,Xb),
inference(fof_nnf,[status(thm)],[aSatz4_12]) ).
fof(f_45_2,plain,
! [U_201,U_200] : s_col(U_201,U_201,U_200),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
! [U_200,U_201] : s_col(U_201,U_201,U_200),
inference(definitional_conversion,[status(esa)],[f_45_2]) ).
cnf(f_45_4,plain,
s_col(U_201,U_201,U_200),
inference(clausify,[status(thm)],[f_45_3]) ).
fof(f_46_1,plain,
! [Xa,Xb] : s_col(Xa,Xb,Xa),
inference(fof_nnf,[status(thm)],[aSatz4_12b]) ).
fof(f_46_2,plain,
! [U_203,U_202] : s_col(U_203,U_202,U_203),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
! [U_202,U_203] : s_col(U_203,U_202,U_203),
inference(definitional_conversion,[status(esa)],[f_46_2]) ).
cnf(f_46_4,plain,
s_col(U_203,U_202,U_203),
inference(clausify,[status(thm)],[f_46_3]) ).
fof(f_47_1,plain,
! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( s_col(Xa1,Xb1,Xc1)
| ~ s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_13]) ).
fof(f_47_2,plain,
! [U_209,U_208,U_207,U_206,U_205,U_204] :
( s_col(U_206,U_205,U_204)
| ~ s_e3(U_209,U_208,U_207,U_206,U_205,U_204)
| ~ s_col(U_209,U_208,U_207) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
! [U_209,U_208,U_207] :
( ! [U_206,U_205,U_204] :
( s_col(U_206,U_205,U_204)
| ~ s_e3(U_209,U_208,U_207,U_206,U_205,U_204) )
| ~ s_col(U_209,U_208,U_207) ),
inference(miniscope,[status(thm)],[f_47_2]) ).
fof(f_47_4,plain,
! [U_205,U_204,U_206,U_207,U_208,U_209] :
( s_col(U_206,U_205,U_204)
| ~ s_e3(U_209,U_208,U_207,U_206,U_205,U_204)
| ~ s_col(U_209,U_208,U_207) ),
inference(definitional_conversion,[status(esa)],[f_47_3]) ).
cnf(f_47_5,plain,
( s_col(U_206,U_205,U_204)
| ~ s_e3(U_209,U_208,U_207,U_206,U_205,U_204)
| ~ s_col(U_209,U_208,U_207) ),
inference(clausify,[status(thm)],[f_47_4]) ).
fof(f_48_1,plain,
! [Xa,Xb,Xc,Xa1,Xb1] :
( s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1))
| ~ s_e(Xa,Xb,Xa1,Xb1)
| ~ s_col(Xa,Xb,Xc) ),
inference(fof_nnf,[status(thm)],[aSatz4_14]) ).
fof(f_48_2,plain,
! [U_214,U_213,U_212,U_211,U_210] :
( s_e3(U_214,U_213,U_212,U_211,U_210,insert5(U_214,U_213,U_212,U_211,U_210))
| ~ s_e(U_214,U_213,U_211,U_210)
| ~ s_col(U_214,U_213,U_212) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
! [U_214,U_213,U_212] :
( ! [U_211,U_210] :
( s_e3(U_214,U_213,U_212,U_211,U_210,insert5(U_214,U_213,U_212,U_211,U_210))
| ~ s_e(U_214,U_213,U_211,U_210) )
| ~ s_col(U_214,U_213,U_212) ),
inference(miniscope,[status(thm)],[f_48_2]) ).
fof(f_48_4,plain,
! [U_210,U_211,U_213,U_214,U_212] :
( 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_220,U_218,U_222,U_216,U_221,U_219,U_217,U_215] :
( s_e(U_220,U_219,U_216,U_215)
| ~ s_fs(U_222,U_221,U_220,U_219,U_218,U_217,U_216,U_215)
| U_222 = U_221 ),
inference(definitional_conversion,[status(esa)],[f_49_3]) ).
cnf(f_49_5,plain,
( s_e(U_220,U_219,U_216,U_215)
| ~ s_fs(U_222,U_221,U_220,U_219,U_218,U_217,U_216,U_215)
| U_222 = U_221 ),
inference(clausify,[status(thm)],[f_49_4]) ).
fof(f_50_1,plain,
! [Xa,Xb,Xc,Xp,Xq] :
( s_e(Xc,Xp,Xc,Xq)
| ~ s_e(Xb,Xp,Xb,Xq)
| ~ s_e(Xa,Xp,Xa,Xq)
| ~ s_col(Xa,Xb,Xc)
| Xa = Xb ),
inference(fof_nnf,[status(thm)],[aSatz4_17]) ).
fof(f_50_2,plain,
! [U_227,U_226,U_225,U_224,U_223] :
( s_e(U_225,U_224,U_225,U_223)
| ~ s_e(U_226,U_224,U_226,U_223)
| ~ s_e(U_227,U_224,U_227,U_223)
| ~ s_col(U_227,U_226,U_225)
| U_227 = U_226 ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
! [U_227,U_226] :
( ! [U_225] :
( ! [U_224,U_223] :
( s_e(U_225,U_224,U_225,U_223)
| ~ s_e(U_226,U_224,U_226,U_223)
| ~ s_e(U_227,U_224,U_227,U_223) )
| ~ s_col(U_227,U_226,U_225) )
| U_227 = U_226 ),
inference(miniscope,[status(thm)],[f_50_2]) ).
fof(f_50_4,plain,
! [U_226,U_224,U_225,U_223,U_227] :
( 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_229,U_228,U_231,U_230] :
( 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_232,U_234,U_233,U_235] :
( 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_237,U_239,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_242,U_241,U_240,U_243] :
( 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_244,U_246,U_247,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_269,U_270,U_273,U_272,U_271,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,negated_conjecture,
~ ! [Xa,Xb,Xc,Xd,Xe,Xf] :
( le(Xa,Xb,Xe,Xf)
| ~ le(Xc,Xd,Xe,Xf)
| ~ le(Xa,Xb,Xc,Xd) ),
inference(negate,[status(cth)],[aSatz5_8]) ).
fof(f_60_2,negated_conjecture,
? [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)],[f_60_1]) ).
fof(f_60_3,negated_conjecture,
? [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_2]) ).
fof(f_60_4,negated_conjecture,
? [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_3]) ).
fof(f_60_5,negated_conjecture,
? [U_283,U_282,U_281] :
( ? [U_280,U_279] :
( ~ le(sK1,U_283,U_280,U_279)
& le(U_282,U_281,U_280,U_279) )
& le(sK1,U_283,U_282,U_281) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_284,sK1)],[f_60_4]) ).
fof(f_60_6,negated_conjecture,
? [U_282,U_281] :
( ? [U_280,U_279] :
( ~ le(sK1,sK2,U_280,U_279)
& le(U_282,U_281,U_280,U_279) )
& le(sK1,sK2,U_282,U_281) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_283,sK2)],[f_60_5]) ).
fof(f_60_7,negated_conjecture,
? [U_281] :
( ? [U_280,U_279] :
( ~ le(sK1,sK2,U_280,U_279)
& le(sK3,U_281,U_280,U_279) )
& le(sK1,sK2,sK3,U_281) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_282,sK3)],[f_60_6]) ).
fof(f_60_8,negated_conjecture,
( ? [U_280,U_279] :
( ~ le(sK1,sK2,U_280,U_279)
& le(sK3,sK4,U_280,U_279) )
& le(sK1,sK2,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_281,sK4)],[f_60_7]) ).
fof(f_60_9,negated_conjecture,
( ? [U_279] :
( ~ le(sK1,sK2,sK5,U_279)
& le(sK3,sK4,sK5,U_279) )
& le(sK1,sK2,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_280,sK5)],[f_60_8]) ).
fof(f_60_10,negated_conjecture,
( ~ le(sK1,sK2,sK5,sK6)
& le(sK3,sK4,sK5,sK6)
& le(sK1,sK2,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_279,sK6)],[f_60_9]) ).
fof(f_60_11,negated_conjecture,
( ~ le(sK1,sK2,sK5,sK6)
& le(sK3,sK4,sK5,sK6)
& le(sK1,sK2,sK3,sK4) ),
inference(definitional_conversion,[status(esa)],[f_60_10]) ).
cnf(f_60_12,negated_conjecture,
le(sK1,sK2,sK3,sK4),
inference(clausify,[status(thm)],[f_60_11]) ).
cnf(f_60_13,negated_conjecture,
le(sK3,sK4,sK5,sK6),
inference(clausify,[status(thm)],[f_60_11]) ).
cnf(f_60_14,negated_conjecture,
~ le(sK1,sK2,sK5,sK6),
inference(clausify,[status(thm)],[f_60_11]) ).
fof(f_61_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_61_2,plain,
! [U_288,U_287,U_286,U_285] : insert(U_288,U_287,U_286,U_285) = ext(ext(U_285,U_286,alpha,gamma),U_286,U_288,U_287),
inference(variable_rename,[status(thm)],[f_61_1]) ).
fof(f_61_3,plain,
! [U_285,U_288,U_287,U_286] : insert(U_288,U_287,U_286,U_285) = ext(ext(U_285,U_286,alpha,gamma),U_286,U_288,U_287),
inference(definitional_conversion,[status(esa)],[f_61_2]) ).
cnf(f_61_4,plain,
insert(U_288,U_287,U_286,U_285) = ext(ext(U_285,U_286,alpha,gamma),U_286,U_288,U_287),
inference(clausify,[status(thm)],[f_61_3]) ).
fof(f_62_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_62_2,plain,
! [U_296,U_295,U_294,U_293,U_292,U_291,U_290,U_289] :
( ( s_afs(U_296,U_295,U_294,U_293,U_292,U_291,U_290,U_289)
| ~ s_e(U_295,U_293,U_291,U_289)
| ~ s_e(U_296,U_293,U_292,U_289)
| ~ s_e(U_295,U_294,U_291,U_290)
| ~ s_e(U_296,U_295,U_292,U_291)
| ~ s_t(U_292,U_291,U_290)
| ~ s_t(U_296,U_295,U_294) )
& ( s_e(U_295,U_293,U_291,U_289)
| ~ s_afs(U_296,U_295,U_294,U_293,U_292,U_291,U_290,U_289) )
& ( s_e(U_296,U_293,U_292,U_289)
| ~ s_afs(U_296,U_295,U_294,U_293,U_292,U_291,U_290,U_289) )
& ( s_e(U_295,U_294,U_291,U_290)
| ~ s_afs(U_296,U_295,U_294,U_293,U_292,U_291,U_290,U_289) )
& ( s_e(U_296,U_295,U_292,U_291)
| ~ s_afs(U_296,U_295,U_294,U_293,U_292,U_291,U_290,U_289) )
& ( s_t(U_292,U_291,U_290)
| ~ s_afs(U_296,U_295,U_294,U_293,U_292,U_291,U_290,U_289) )
& ( s_t(U_296,U_295,U_294)
| ~ s_afs(U_296,U_295,U_294,U_293,U_292,U_291,U_290,U_289) ) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
( ! [U_352,U_345,U_338] :
( ! [U_331,U_324,U_317] :
( ! [U_310] :
( ! [U_303] :
( s_afs(U_352,U_345,U_338,U_331,U_324,U_317,U_310,U_303)
| ~ s_e(U_345,U_331,U_317,U_303)
| ~ s_e(U_352,U_331,U_324,U_303) )
| ~ s_e(U_345,U_338,U_317,U_310)
| ~ s_t(U_324,U_317,U_310) )
| ~ s_e(U_352,U_345,U_324,U_317) )
| ~ s_t(U_352,U_345,U_338) )
& ! [U_351,U_344,U_337,U_330,U_323,U_316,U_309,U_302] :
( s_e(U_344,U_330,U_316,U_302)
| ~ s_afs(U_351,U_344,U_337,U_330,U_323,U_316,U_309,U_302) )
& ! [U_350,U_343,U_336,U_329,U_322,U_315,U_308,U_301] :
( s_e(U_350,U_329,U_322,U_301)
| ~ s_afs(U_350,U_343,U_336,U_329,U_322,U_315,U_308,U_301) )
& ! [U_349,U_342,U_335,U_328,U_321,U_314,U_307] :
( ! [U_300] : ~ s_afs(U_349,U_342,U_335,U_328,U_321,U_314,U_307,U_300)
| s_e(U_342,U_335,U_314,U_307) )
& ! [U_348,U_341,U_334,U_327,U_320,U_313] :
( ! [U_306,U_299] : ~ s_afs(U_348,U_341,U_334,U_327,U_320,U_313,U_306,U_299)
| s_e(U_348,U_341,U_320,U_313) )
& ! [U_347,U_340,U_333,U_326,U_319,U_312,U_305] :
( ! [U_298] : ~ s_afs(U_347,U_340,U_333,U_326,U_319,U_312,U_305,U_298)
| s_t(U_319,U_312,U_305) )
& ! [U_346,U_339,U_332] :
( ! [U_325,U_318,U_311,U_304,U_297] : ~ s_afs(U_346,U_339,U_332,U_325,U_318,U_311,U_304,U_297)
| s_t(U_346,U_339,U_332) ) ),
inference(miniscope,[status(thm)],[f_62_2]) ).
fof(f_62_4,plain,
( ! [U_324,U_345,U_338,U_331,U_317,U_303,U_310,U_352] :
( s_afs(U_352,U_345,U_338,U_331,U_324,U_317,U_310,U_303)
| ~ s_e(U_345,U_331,U_317,U_303)
| ~ s_e(U_352,U_331,U_324,U_303)
| ~ s_e(U_345,U_338,U_317,U_310)
| ~ s_t(U_324,U_317,U_310)
| ~ s_e(U_352,U_345,U_324,U_317)
| ~ s_t(U_352,U_345,U_338) )
& ! [U_337,U_316,U_302,U_351,U_309,U_323,U_330,U_344] :
( s_e(U_344,U_330,U_316,U_302)
| ~ s_afs(U_351,U_344,U_337,U_330,U_323,U_316,U_309,U_302) )
& ! [U_329,U_343,U_301,U_315,U_308,U_322,U_336,U_350] :
( s_e(U_350,U_329,U_322,U_301)
| ~ s_afs(U_350,U_343,U_336,U_329,U_322,U_315,U_308,U_301) )
& ! [U_307,U_300,U_321,U_314,U_328,U_342,U_335,U_349] :
( ~ s_afs(U_349,U_342,U_335,U_328,U_321,U_314,U_307,U_300)
| s_e(U_342,U_335,U_314,U_307) )
& ! [U_299,U_327,U_341,U_313,U_306,U_348,U_334,U_320] :
( ~ s_afs(U_348,U_341,U_334,U_327,U_320,U_313,U_306,U_299)
| s_e(U_348,U_341,U_320,U_313) )
& ! [U_347,U_298,U_305,U_326,U_312,U_340,U_319,U_333] :
( ~ s_afs(U_347,U_340,U_333,U_326,U_319,U_312,U_305,U_298)
| s_t(U_319,U_312,U_305) )
& ! [U_311,U_332,U_297,U_304,U_346,U_325,U_339,U_318] :
( ~ s_afs(U_346,U_339,U_332,U_325,U_318,U_311,U_304,U_297)
| s_t(U_346,U_339,U_332) ) ),
inference(definitional_conversion,[status(esa)],[f_62_3]) ).
cnf(f_62_5,plain,
( ~ s_afs(U_346,U_339,U_332,U_325,U_318,U_311,U_304,U_297)
| s_t(U_346,U_339,U_332) ),
inference(clausify,[status(thm)],[f_62_4]) ).
cnf(f_62_6,plain,
( ~ s_afs(U_347,U_340,U_333,U_326,U_319,U_312,U_305,U_298)
| s_t(U_319,U_312,U_305) ),
inference(clausify,[status(thm)],[f_62_4]) ).
cnf(f_62_7,plain,
( ~ s_afs(U_348,U_341,U_334,U_327,U_320,U_313,U_306,U_299)
| s_e(U_348,U_341,U_320,U_313) ),
inference(clausify,[status(thm)],[f_62_4]) ).
cnf(f_62_8,plain,
( ~ s_afs(U_349,U_342,U_335,U_328,U_321,U_314,U_307,U_300)
| s_e(U_342,U_335,U_314,U_307) ),
inference(clausify,[status(thm)],[f_62_4]) ).
cnf(f_62_9,plain,
( s_e(U_350,U_329,U_322,U_301)
| ~ s_afs(U_350,U_343,U_336,U_329,U_322,U_315,U_308,U_301) ),
inference(clausify,[status(thm)],[f_62_4]) ).
cnf(f_62_10,plain,
( s_e(U_344,U_330,U_316,U_302)
| ~ s_afs(U_351,U_344,U_337,U_330,U_323,U_316,U_309,U_302) ),
inference(clausify,[status(thm)],[f_62_4]) ).
cnf(f_62_11,plain,
( s_afs(U_352,U_345,U_338,U_331,U_324,U_317,U_310,U_303)
| ~ s_e(U_345,U_331,U_317,U_303)
| ~ s_e(U_352,U_331,U_324,U_303)
| ~ s_e(U_345,U_338,U_317,U_310)
| ~ s_t(U_324,U_317,U_310)
| ~ s_e(U_352,U_345,U_324,U_317)
| ~ s_t(U_352,U_345,U_338) ),
inference(clausify,[status(thm)],[f_62_4]) ).
fof(f_63_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_63_2,plain,
! [U_360,U_359,U_358,U_357,U_356,U_355,U_354,U_353] :
( ( s_ifs(U_360,U_359,U_358,U_357,U_356,U_355,U_354,U_353)
| ~ s_e(U_358,U_357,U_354,U_353)
| ~ s_e(U_360,U_357,U_356,U_353)
| ~ s_e(U_359,U_358,U_355,U_354)
| ~ s_e(U_360,U_358,U_356,U_354)
| ~ s_t(U_356,U_355,U_354)
| ~ s_t(U_360,U_359,U_358) )
& ( s_e(U_358,U_357,U_354,U_353)
| ~ s_ifs(U_360,U_359,U_358,U_357,U_356,U_355,U_354,U_353) )
& ( s_e(U_360,U_357,U_356,U_353)
| ~ s_ifs(U_360,U_359,U_358,U_357,U_356,U_355,U_354,U_353) )
& ( s_e(U_359,U_358,U_355,U_354)
| ~ s_ifs(U_360,U_359,U_358,U_357,U_356,U_355,U_354,U_353) )
& ( s_e(U_360,U_358,U_356,U_354)
| ~ s_ifs(U_360,U_359,U_358,U_357,U_356,U_355,U_354,U_353) )
& ( s_t(U_356,U_355,U_354)
| ~ s_ifs(U_360,U_359,U_358,U_357,U_356,U_355,U_354,U_353) )
& ( s_t(U_360,U_359,U_358)
| ~ s_ifs(U_360,U_359,U_358,U_357,U_356,U_355,U_354,U_353) ) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
( ! [U_416,U_409,U_402] :
( ! [U_395,U_388,U_381,U_374] :
( ! [U_367] :
( s_ifs(U_416,U_409,U_402,U_395,U_388,U_381,U_374,U_367)
| ~ s_e(U_402,U_395,U_374,U_367)
| ~ s_e(U_416,U_395,U_388,U_367) )
| ~ s_e(U_409,U_402,U_381,U_374)
| ~ s_e(U_416,U_402,U_388,U_374)
| ~ s_t(U_388,U_381,U_374) )
| ~ s_t(U_416,U_409,U_402) )
& ! [U_415,U_408,U_401,U_394,U_387,U_380,U_373,U_366] :
( s_e(U_401,U_394,U_373,U_366)
| ~ s_ifs(U_415,U_408,U_401,U_394,U_387,U_380,U_373,U_366) )
& ! [U_414,U_407,U_400,U_393,U_386,U_379,U_372,U_365] :
( s_e(U_414,U_393,U_386,U_365)
| ~ s_ifs(U_414,U_407,U_400,U_393,U_386,U_379,U_372,U_365) )
& ! [U_413,U_406,U_399,U_392,U_385,U_378,U_371] :
( ! [U_364] : ~ s_ifs(U_413,U_406,U_399,U_392,U_385,U_378,U_371,U_364)
| s_e(U_406,U_399,U_378,U_371) )
& ! [U_412,U_405,U_398,U_391,U_384,U_377,U_370] :
( ! [U_363] : ~ s_ifs(U_412,U_405,U_398,U_391,U_384,U_377,U_370,U_363)
| s_e(U_412,U_398,U_384,U_370) )
& ! [U_411,U_404,U_397,U_390,U_383,U_376,U_369] :
( ! [U_362] : ~ s_ifs(U_411,U_404,U_397,U_390,U_383,U_376,U_369,U_362)
| s_t(U_383,U_376,U_369) )
& ! [U_410,U_403,U_396] :
( ! [U_389,U_382,U_375,U_368,U_361] : ~ s_ifs(U_410,U_403,U_396,U_389,U_382,U_375,U_368,U_361)
| s_t(U_410,U_403,U_396) ) ),
inference(miniscope,[status(thm)],[f_63_2]) ).
fof(f_63_4,plain,
( ! [U_402,U_388,U_416,U_374,U_409,U_381,U_395,U_367] :
( s_ifs(U_416,U_409,U_402,U_395,U_388,U_381,U_374,U_367)
| ~ s_e(U_402,U_395,U_374,U_367)
| ~ s_e(U_416,U_395,U_388,U_367)
| ~ s_e(U_409,U_402,U_381,U_374)
| ~ s_e(U_416,U_402,U_388,U_374)
| ~ s_t(U_388,U_381,U_374)
| ~ s_t(U_416,U_409,U_402) )
& ! [U_415,U_401,U_408,U_387,U_394,U_373,U_380,U_366] :
( s_e(U_401,U_394,U_373,U_366)
| ~ s_ifs(U_415,U_408,U_401,U_394,U_387,U_380,U_373,U_366) )
& ! [U_414,U_386,U_407,U_400,U_393,U_379,U_365,U_372] :
( s_e(U_414,U_393,U_386,U_365)
| ~ s_ifs(U_414,U_407,U_400,U_393,U_386,U_379,U_372,U_365) )
& ! [U_364,U_378,U_385,U_371,U_392,U_413,U_399,U_406] :
( ~ s_ifs(U_413,U_406,U_399,U_392,U_385,U_378,U_371,U_364)
| s_e(U_406,U_399,U_378,U_371) )
& ! [U_363,U_377,U_405,U_384,U_370,U_391,U_398,U_412] :
( ~ s_ifs(U_412,U_405,U_398,U_391,U_384,U_377,U_370,U_363)
| s_e(U_412,U_398,U_384,U_370) )
& ! [U_362,U_376,U_369,U_404,U_383,U_411,U_390,U_397] :
( ~ s_ifs(U_411,U_404,U_397,U_390,U_383,U_376,U_369,U_362)
| s_t(U_383,U_376,U_369) )
& ! [U_382,U_403,U_368,U_375,U_410,U_396,U_361,U_389] :
( ~ s_ifs(U_410,U_403,U_396,U_389,U_382,U_375,U_368,U_361)
| s_t(U_410,U_403,U_396) ) ),
inference(definitional_conversion,[status(esa)],[f_63_3]) ).
cnf(f_63_5,plain,
( ~ s_ifs(U_410,U_403,U_396,U_389,U_382,U_375,U_368,U_361)
| s_t(U_410,U_403,U_396) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_6,plain,
( ~ s_ifs(U_411,U_404,U_397,U_390,U_383,U_376,U_369,U_362)
| s_t(U_383,U_376,U_369) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_7,plain,
( ~ s_ifs(U_412,U_405,U_398,U_391,U_384,U_377,U_370,U_363)
| s_e(U_412,U_398,U_384,U_370) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_8,plain,
( ~ s_ifs(U_413,U_406,U_399,U_392,U_385,U_378,U_371,U_364)
| s_e(U_406,U_399,U_378,U_371) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_9,plain,
( s_e(U_414,U_393,U_386,U_365)
| ~ s_ifs(U_414,U_407,U_400,U_393,U_386,U_379,U_372,U_365) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_10,plain,
( s_e(U_401,U_394,U_373,U_366)
| ~ s_ifs(U_415,U_408,U_401,U_394,U_387,U_380,U_373,U_366) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_11,plain,
( s_ifs(U_416,U_409,U_402,U_395,U_388,U_381,U_374,U_367)
| ~ s_e(U_402,U_395,U_374,U_367)
| ~ s_e(U_416,U_395,U_388,U_367)
| ~ s_e(U_409,U_402,U_381,U_374)
| ~ s_e(U_416,U_402,U_388,U_374)
| ~ s_t(U_388,U_381,U_374)
| ~ s_t(U_416,U_409,U_402) ),
inference(clausify,[status(thm)],[f_63_4]) ).
fof(f_64_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_64_2,plain,
! [U_422,U_421,U_420,U_419,U_418,U_417] :
( ( s_e3(U_422,U_421,U_420,U_419,U_418,U_417)
| ~ s_e(U_421,U_420,U_418,U_417)
| ~ s_e(U_422,U_420,U_419,U_417)
| ~ s_e(U_422,U_421,U_419,U_418) )
& ( s_e(U_421,U_420,U_418,U_417)
| ~ s_e3(U_422,U_421,U_420,U_419,U_418,U_417) )
& ( s_e(U_422,U_420,U_419,U_417)
| ~ s_e3(U_422,U_421,U_420,U_419,U_418,U_417) )
& ( s_e(U_422,U_421,U_419,U_418)
| ~ s_e3(U_422,U_421,U_420,U_419,U_418,U_417) ) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
( ! [U_446,U_442,U_438,U_434,U_430] :
( ! [U_426] :
( s_e3(U_446,U_442,U_438,U_434,U_430,U_426)
| ~ s_e(U_442,U_438,U_430,U_426)
| ~ s_e(U_446,U_438,U_434,U_426) )
| ~ s_e(U_446,U_442,U_434,U_430) )
& ! [U_445,U_441,U_437,U_433,U_429,U_425] :
( s_e(U_441,U_437,U_429,U_425)
| ~ s_e3(U_445,U_441,U_437,U_433,U_429,U_425) )
& ! [U_444,U_440,U_436,U_432,U_428,U_424] :
( s_e(U_444,U_436,U_432,U_424)
| ~ s_e3(U_444,U_440,U_436,U_432,U_428,U_424) )
& ! [U_443,U_439,U_435,U_431,U_427] :
( ! [U_423] : ~ s_e3(U_443,U_439,U_435,U_431,U_427,U_423)
| s_e(U_443,U_439,U_431,U_427) ) ),
inference(miniscope,[status(thm)],[f_64_2]) ).
fof(f_64_4,plain,
( ! [U_442,U_438,U_434,U_430,U_446,U_426] :
( s_e3(U_446,U_442,U_438,U_434,U_430,U_426)
| ~ s_e(U_442,U_438,U_430,U_426)
| ~ s_e(U_446,U_438,U_434,U_426)
| ~ s_e(U_446,U_442,U_434,U_430) )
& ! [U_425,U_437,U_445,U_441,U_429,U_433] :
( s_e(U_441,U_437,U_429,U_425)
| ~ s_e3(U_445,U_441,U_437,U_433,U_429,U_425) )
& ! [U_428,U_432,U_436,U_440,U_444,U_424] :
( s_e(U_444,U_436,U_432,U_424)
| ~ s_e3(U_444,U_440,U_436,U_432,U_428,U_424) )
& ! [U_435,U_423,U_431,U_439,U_443,U_427] :
( ~ s_e3(U_443,U_439,U_435,U_431,U_427,U_423)
| s_e(U_443,U_439,U_431,U_427) ) ),
inference(definitional_conversion,[status(esa)],[f_64_3]) ).
cnf(f_64_5,plain,
( ~ s_e3(U_443,U_439,U_435,U_431,U_427,U_423)
| s_e(U_443,U_439,U_431,U_427) ),
inference(clausify,[status(thm)],[f_64_4]) ).
cnf(f_64_6,plain,
( s_e(U_444,U_436,U_432,U_424)
| ~ s_e3(U_444,U_440,U_436,U_432,U_428,U_424) ),
inference(clausify,[status(thm)],[f_64_4]) ).
cnf(f_64_7,plain,
( s_e(U_441,U_437,U_429,U_425)
| ~ s_e3(U_445,U_441,U_437,U_433,U_429,U_425) ),
inference(clausify,[status(thm)],[f_64_4]) ).
cnf(f_64_8,plain,
( s_e3(U_446,U_442,U_438,U_434,U_430,U_426)
| ~ s_e(U_442,U_438,U_430,U_426)
| ~ s_e(U_446,U_438,U_434,U_426)
| ~ s_e(U_446,U_442,U_434,U_430) ),
inference(clausify,[status(thm)],[f_64_4]) ).
fof(f_65_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_65_2,plain,
! [U_449,U_448,U_447] :
( ( ~ s_t(U_447,U_449,U_448)
| s_col(U_449,U_448,U_447) )
& ( ~ s_t(U_448,U_447,U_449)
| s_col(U_449,U_448,U_447) )
& ( ~ s_t(U_449,U_448,U_447)
| s_col(U_449,U_448,U_447) )
& ( s_t(U_447,U_449,U_448)
| s_t(U_448,U_447,U_449)
| s_t(U_449,U_448,U_447)
| ~ s_col(U_449,U_448,U_447) ) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
( ! [U_461,U_457,U_453] :
( ~ s_t(U_453,U_461,U_457)
| s_col(U_461,U_457,U_453) )
& ! [U_460,U_456,U_452] :
( ~ s_t(U_456,U_452,U_460)
| s_col(U_460,U_456,U_452) )
& ! [U_459,U_455,U_451] :
( ~ s_t(U_459,U_455,U_451)
| s_col(U_459,U_455,U_451) )
& ! [U_458,U_454,U_450] :
( s_t(U_450,U_458,U_454)
| s_t(U_454,U_450,U_458)
| s_t(U_458,U_454,U_450)
| ~ s_col(U_458,U_454,U_450) ) ),
inference(miniscope,[status(thm)],[f_65_2]) ).
fof(f_65_4,plain,
( ! [U_461,U_457,U_453] :
( ~ s_t(U_453,U_461,U_457)
| s_col(U_461,U_457,U_453) )
& ! [U_460,U_456,U_452] :
( ~ s_t(U_456,U_452,U_460)
| s_col(U_460,U_456,U_452) )
& ! [U_459,U_451,U_455] :
( ~ s_t(U_459,U_455,U_451)
| s_col(U_459,U_455,U_451) )
& ! [U_450,U_458,U_454] :
( s_t(U_450,U_458,U_454)
| s_t(U_454,U_450,U_458)
| s_t(U_458,U_454,U_450)
| ~ s_col(U_458,U_454,U_450) ) ),
inference(definitional_conversion,[status(esa)],[f_65_3]) ).
cnf(f_65_5,plain,
( s_t(U_450,U_458,U_454)
| s_t(U_454,U_450,U_458)
| s_t(U_458,U_454,U_450)
| ~ s_col(U_458,U_454,U_450) ),
inference(clausify,[status(thm)],[f_65_4]) ).
cnf(f_65_6,plain,
( ~ s_t(U_459,U_455,U_451)
| s_col(U_459,U_455,U_451) ),
inference(clausify,[status(thm)],[f_65_4]) ).
cnf(f_65_7,plain,
( ~ s_t(U_456,U_452,U_460)
| s_col(U_460,U_456,U_452) ),
inference(clausify,[status(thm)],[f_65_4]) ).
cnf(f_65_8,plain,
( ~ s_t(U_453,U_461,U_457)
| s_col(U_461,U_457,U_453) ),
inference(clausify,[status(thm)],[f_65_4]) ).
fof(f_66_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_66_2,plain,
! [U_469,U_468,U_467,U_466,U_465,U_464,U_463,U_462] :
( ( s_fs(U_469,U_468,U_467,U_466,U_465,U_464,U_463,U_462)
| ~ s_e(U_468,U_466,U_464,U_462)
| ~ s_e(U_469,U_466,U_465,U_462)
| ~ s_e3(U_469,U_468,U_467,U_465,U_464,U_463)
| ~ s_col(U_469,U_468,U_467) )
& ( s_e(U_468,U_466,U_464,U_462)
| ~ s_fs(U_469,U_468,U_467,U_466,U_465,U_464,U_463,U_462) )
& ( s_e(U_469,U_466,U_465,U_462)
| ~ s_fs(U_469,U_468,U_467,U_466,U_465,U_464,U_463,U_462) )
& ( s_e3(U_469,U_468,U_467,U_465,U_464,U_463)
| ~ s_fs(U_469,U_468,U_467,U_466,U_465,U_464,U_463,U_462) )
& ( s_col(U_469,U_468,U_467)
| ~ s_fs(U_469,U_468,U_467,U_466,U_465,U_464,U_463,U_462) ) ),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
( ! [U_509,U_504,U_499] :
( ! [U_494,U_489,U_484,U_479] :
( ! [U_474] :
( s_fs(U_509,U_504,U_499,U_494,U_489,U_484,U_479,U_474)
| ~ s_e(U_504,U_494,U_484,U_474)
| ~ s_e(U_509,U_494,U_489,U_474) )
| ~ s_e3(U_509,U_504,U_499,U_489,U_484,U_479) )
| ~ s_col(U_509,U_504,U_499) )
& ! [U_508,U_503,U_498,U_493,U_488,U_483,U_478,U_473] :
( s_e(U_503,U_493,U_483,U_473)
| ~ s_fs(U_508,U_503,U_498,U_493,U_488,U_483,U_478,U_473) )
& ! [U_507,U_502,U_497,U_492,U_487,U_482,U_477,U_472] :
( s_e(U_507,U_492,U_487,U_472)
| ~ s_fs(U_507,U_502,U_497,U_492,U_487,U_482,U_477,U_472) )
& ! [U_506,U_501,U_496,U_491,U_486,U_481,U_476] :
( ! [U_471] : ~ s_fs(U_506,U_501,U_496,U_491,U_486,U_481,U_476,U_471)
| s_e3(U_506,U_501,U_496,U_486,U_481,U_476) )
& ! [U_505,U_500,U_495] :
( ! [U_490,U_485,U_480,U_475,U_470] : ~ s_fs(U_505,U_500,U_495,U_490,U_485,U_480,U_475,U_470)
| s_col(U_505,U_500,U_495) ) ),
inference(miniscope,[status(thm)],[f_66_2]) ).
fof(f_66_4,plain,
( ! [U_499,U_494,U_474,U_479,U_489,U_504,U_484,U_509] :
( s_fs(U_509,U_504,U_499,U_494,U_489,U_484,U_479,U_474)
| ~ s_e(U_504,U_494,U_484,U_474)
| ~ s_e(U_509,U_494,U_489,U_474)
| ~ s_e3(U_509,U_504,U_499,U_489,U_484,U_479)
| ~ s_col(U_509,U_504,U_499) )
& ! [U_478,U_488,U_503,U_473,U_498,U_483,U_508,U_493] :
( s_e(U_503,U_493,U_483,U_473)
| ~ s_fs(U_508,U_503,U_498,U_493,U_488,U_483,U_478,U_473) )
& ! [U_492,U_482,U_487,U_502,U_472,U_477,U_507,U_497] :
( s_e(U_507,U_492,U_487,U_472)
| ~ s_fs(U_507,U_502,U_497,U_492,U_487,U_482,U_477,U_472) )
& ! [U_506,U_481,U_491,U_501,U_486,U_476,U_471,U_496] :
( ~ s_fs(U_506,U_501,U_496,U_491,U_486,U_481,U_476,U_471)
| s_e3(U_506,U_501,U_496,U_486,U_481,U_476) )
& ! [U_505,U_500,U_475,U_470,U_480,U_485,U_495,U_490] :
( ~ s_fs(U_505,U_500,U_495,U_490,U_485,U_480,U_475,U_470)
| s_col(U_505,U_500,U_495) ) ),
inference(definitional_conversion,[status(esa)],[f_66_3]) ).
cnf(f_66_5,plain,
( ~ s_fs(U_505,U_500,U_495,U_490,U_485,U_480,U_475,U_470)
| s_col(U_505,U_500,U_495) ),
inference(clausify,[status(thm)],[f_66_4]) ).
cnf(f_66_6,plain,
( ~ s_fs(U_506,U_501,U_496,U_491,U_486,U_481,U_476,U_471)
| s_e3(U_506,U_501,U_496,U_486,U_481,U_476) ),
inference(clausify,[status(thm)],[f_66_4]) ).
cnf(f_66_7,plain,
( s_e(U_507,U_492,U_487,U_472)
| ~ s_fs(U_507,U_502,U_497,U_492,U_487,U_482,U_477,U_472) ),
inference(clausify,[status(thm)],[f_66_4]) ).
cnf(f_66_8,plain,
( s_e(U_503,U_493,U_483,U_473)
| ~ s_fs(U_508,U_503,U_498,U_493,U_488,U_483,U_478,U_473) ),
inference(clausify,[status(thm)],[f_66_4]) ).
cnf(f_66_9,plain,
( s_fs(U_509,U_504,U_499,U_494,U_489,U_484,U_479,U_474)
| ~ s_e(U_504,U_494,U_484,U_474)
| ~ s_e(U_509,U_494,U_489,U_474)
| ~ s_e3(U_509,U_504,U_499,U_489,U_484,U_479)
| ~ s_col(U_509,U_504,U_499) ),
inference(clausify,[status(thm)],[f_66_4]) ).
fof(f_67_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_67_2,plain,
! [U_514,U_513,U_512,U_511,U_510] :
( ( le(U_514,U_513,U_512,U_511)
| ~ s_e(U_514,U_513,U_512,U_510)
| ~ s_t(U_512,U_510,U_511) )
& ( s_e(U_514,U_513,U_512,insert(U_514,U_513,U_512,U_511))
| ~ le(U_514,U_513,U_512,U_511) )
& ( s_t(U_512,insert(U_514,U_513,U_512,U_511),U_511)
| ~ le(U_514,U_513,U_512,U_511) ) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
( ! [U_526,U_523,U_520,U_517] :
( ! [U_510] :
( ~ s_e(U_526,U_523,U_520,U_510)
| ~ s_t(U_520,U_510,U_517) )
| le(U_526,U_523,U_520,U_517) )
& ! [U_525,U_522,U_519,U_516] :
( s_e(U_525,U_522,U_519,insert(U_525,U_522,U_519,U_516))
| ~ le(U_525,U_522,U_519,U_516) )
& ! [U_524,U_521,U_518,U_515] :
( s_t(U_518,insert(U_524,U_521,U_518,U_515),U_515)
| ~ le(U_524,U_521,U_518,U_515) ) ),
inference(miniscope,[status(thm)],[f_67_2]) ).
fof(f_67_4,plain,
( ! [U_520,U_517,U_526,U_523,U_510] :
( ~ s_e(U_526,U_523,U_520,U_510)
| ~ s_t(U_520,U_510,U_517)
| le(U_526,U_523,U_520,U_517) )
& ! [U_519,U_522,U_525,U_516] :
( s_e(U_525,U_522,U_519,insert(U_525,U_522,U_519,U_516))
| ~ le(U_525,U_522,U_519,U_516) )
& ! [U_521,U_515,U_518,U_524] :
( s_t(U_518,insert(U_524,U_521,U_518,U_515),U_515)
| ~ le(U_524,U_521,U_518,U_515) ) ),
inference(definitional_conversion,[status(esa)],[f_67_3]) ).
cnf(f_67_5,plain,
( s_t(U_518,insert(U_524,U_521,U_518,U_515),U_515)
| ~ le(U_524,U_521,U_518,U_515) ),
inference(clausify,[status(thm)],[f_67_4]) ).
cnf(f_67_6,plain,
( s_e(U_525,U_522,U_519,insert(U_525,U_522,U_519,U_516))
| ~ le(U_525,U_522,U_519,U_516) ),
inference(clausify,[status(thm)],[f_67_4]) ).
cnf(f_67_7,plain,
( ~ s_e(U_526,U_523,U_520,U_510)
| ~ s_t(U_520,U_510,U_517)
| le(U_526,U_523,U_520,U_517) ),
inference(clausify,[status(thm)],[f_67_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,
( 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_11,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_12,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_13,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_14,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_15,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_16,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_17,axiom,
( s_afs(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| ~ s_afs(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO494+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
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 07:59:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 150.24/150.54 % SZS status Theorem for theBenchmark
% 150.24/150.54 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------