TSTP Solution File: GEO497+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO497+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 12:55:23 EDT 2022
% Result : Timeout 299.89s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO497+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 07:19:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 2.92/3.10 ----- Otter 3.3f, August 2004 -----
% 2.92/3.10 The process was started by sandbox on n008.cluster.edu,
% 2.92/3.10 Wed Jul 27 07:19:38 2022
% 2.92/3.10 The command was "./otter". The process ID is 22034.
% 2.92/3.10
% 2.92/3.10 set(prolog_style_variables).
% 2.92/3.10 set(auto).
% 2.92/3.10 dependent: set(auto1).
% 2.92/3.10 dependent: set(process_input).
% 2.92/3.10 dependent: clear(print_kept).
% 2.92/3.10 dependent: clear(print_new_demod).
% 2.92/3.10 dependent: clear(print_back_demod).
% 2.92/3.10 dependent: clear(print_back_sub).
% 2.92/3.10 dependent: set(control_memory).
% 2.92/3.10 dependent: assign(max_mem, 12000).
% 2.92/3.10 dependent: assign(pick_given_ratio, 4).
% 2.92/3.10 dependent: assign(stats_level, 1).
% 2.92/3.10 dependent: assign(max_seconds, 10800).
% 2.92/3.10 clear(print_given).
% 2.92/3.10
% 2.92/3.10 formula_list(usable).
% 2.92/3.10 all A (A=A).
% 2.92/3.10 all X Y s_e(X,Y,Y,X).
% 2.92/3.10 all X Y Z V Z2 V2 (-s_e(X,Y,Z,V)| -s_e(X,Y,Z2,V2)|s_e(Z,V,Z2,V2)).
% 2.92/3.10 all X Y Z (-s_e(X,Y,Z,Z)|X=Y).
% 2.92/3.10 all X Y W V (s_t(X,Y,ext(X,Y,W,V))&s_e(Y,ext(X,Y,W,V),W,V)).
% 2.92/3.10 all X Y X1 Y1 Z Z1 V V1 (-s_e(X,Y,X1,Y1)| -s_e(Y,Z,Y1,Z1)| -s_e(X,V,X1,V1)| -s_e(Y,V,Y1,V1)| -s_t(X,Y,Z)| -s_t(X1,Y1,Z1)|X=Y|s_e(Z,V,Z1,V1)).
% 2.92/3.10 all X Y (-s_t(X,Y,X)|X=Y).
% 2.92/3.10 all Xa Xp Xc Xb Xq ((-s_t(Xa,Xp,Xc)| -s_t(Xb,Xq,Xc)|s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb))& (-s_t(Xa,Xp,Xc)| -s_t(Xb,Xq,Xc)|s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa))).
% 2.92/3.10 -s_t(alpha,beta,gamma).
% 2.92/3.10 -s_t(beta,gamma,alpha).
% 2.92/3.10 -s_t(gamma,alpha,beta).
% 2.92/3.10 all Xa Xb s_e(Xa,Xb,Xa,Xb).
% 2.92/3.10 all Xa Xb Xc Xd (-s_e(Xa,Xb,Xc,Xd)|s_e(Xc,Xd,Xa,Xb)).
% 2.92/3.10 all Xa Xb Xc Xd Xe Xf (-s_e(Xa,Xb,Xc,Xd)| -s_e(Xc,Xd,Xe,Xf)|s_e(Xa,Xb,Xe,Xf)).
% 2.92/3.10 all Xa Xb Xc Xd (-s_e(Xa,Xb,Xc,Xd)|s_e(Xb,Xa,Xc,Xd)).
% 2.92/3.10 all Xa Xb Xc Xd (-s_e(Xa,Xb,Xc,Xd)|s_e(Xa,Xb,Xd,Xc)).
% 2.92/3.10 all Xa Xb s_e(Xa,Xa,Xb,Xb).
% 2.92/3.10 all Xa Xb Xc Xa1 Xb1 Xc1 (-s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc1)| -s_e(Xa,Xb,Xa1,Xb1)| -s_e(Xb,Xc,Xb1,Xc1)|s_e(Xa,Xc,Xa1,Xc1)).
% 2.92/3.10 all Xq Xa Xd Xb Xc (Xq=Xa| -s_t(Xq,Xa,Xd)| -s_e(Xa,Xd,Xb,Xc)|Xd=ext(Xq,Xa,Xb,Xc)).
% 2.92/3.10 all Xb Xc Xa (-s_e(Xb,Xc,Xa,Xa)|Xb=Xc).
% 2.92/3.10 all Xa Xb Xc Xd (-s_e(Xa,Xb,Xc,Xd)|s_e(Xb,Xa,Xd,Xc)).
% 2.92/3.10 all Xa Xb Xc XA XB XC (-s_t(Xa,Xb,Xc)| -s_t(XA,XB,XC)| -s_e(Xa,Xb,XB,XC)| -s_e(Xb,Xc,XA,XB)|s_e(Xa,Xc,XA,XC)).
% 2.92/3.10 all Xa Xb s_t(Xa,Xb,Xb).
% 2.92/3.10 all Xa Xb Xc (-s_t(Xa,Xb,Xc)|s_t(Xc,Xb,Xa)).
% 2.92/3.10 all Xa1 Xb1 s_t(Xa1,Xa1,Xb1).
% 2.92/3.10 all Xa Xb Xc (-s_t(Xa,Xb,Xc)| -s_t(Xb,Xa,Xc)|Xa=Xb).
% 2.92/3.10 all Xa Xb Xd Xc (-s_t(Xa,Xb,Xd)| -s_t(Xb,Xc,Xd)|s_t(Xa,Xb,Xc)).
% 2.92/3.10 all Xa Xb Xc Xd (-s_t(Xa,Xb,Xc)| -s_t(Xa,Xc,Xd)|s_t(Xb,Xc,Xd)).
% 2.92/3.10 all Xa Xb Xc Xd (-s_t(Xa,Xb,Xc)| -s_t(Xb,Xc,Xd)|Xb=Xc|s_t(Xa,Xc,Xd)).
% 2.92/3.10 all Xa Xb Xd Xc (-s_t(Xa,Xb,Xd)| -s_t(Xb,Xc,Xd)|s_t(Xa,Xc,Xd)).
% 2.92/3.10 all Xa Xb Xc Xd (-s_t(Xa,Xb,Xc)| -s_t(Xa,Xc,Xd)|s_t(Xa,Xb,Xd)).
% 2.92/3.10 all Xa Xb Xc Xd (-s_t(Xa,Xb,Xc)| -s_t(Xb,Xc,Xd)|Xb=Xc|s_t(Xa,Xb,Xd)).
% 2.92/3.10 alpha!=beta.
% 2.92/3.10 beta!=gamma.
% 2.92/3.10 alpha!=gamma.
% 2.92/3.10 all Xa Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma)).
% 2.92/3.10 all Xb Xa (Xb!=ext(Xa,Xb,alpha,gamma)).
% 2.92/3.10 all Xa Xb Xc Xa1 Xb1 Xp ((-s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc)| -s_t(Xa,Xp,Xa1)|s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc))& (-s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc)| -s_t(Xa,Xp,Xa1)|s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1))).
% 2.92/3.10 all Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1 (-s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e(Xb,Xd,Xb1,Xd1)).
% 2.92/3.10 all Xa Xb Xc Xa1 Xb1 Xc1 (-s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc1)| -s_e(Xa,Xc,Xa1,Xc1)| -s_e(Xb,Xc,Xb1,Xc1)|s_e(Xa,Xb,Xa1,Xb1)).
% 2.92/3.10 all Xa Xb Xc Xa1 Xc1 ((-s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa1,Xc1)|s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1))& (-s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa1,Xc1)|s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1))).
% 2.92/3.10 all Xa Xb Xc Xa1 Xb1 Xc1 (-s_t(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)|s_t(Xa1,Xb1,Xc1)).
% 2.92/3.10 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_col(Xb,Xc,Xa)).
% 2.92/3.10 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_col(Xc,Xa,Xb)).
% 2.92/3.10 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_col(Xc,Xb,Xa)).
% 2.92/3.10 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_col(Xb,Xa,Xc)).
% 2.92/3.10 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_col(Xa,Xc,Xb)).
% 2.92/3.10 all Xa Xb s_col(Xa,Xa,Xb).
% 2.92/3.10 all Xa Xb s_col(Xa,Xb,Xa).
% 2.92/3.10 all Xa Xb Xc Xa1 Xb1 Xc1 (-s_col(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)|s_col(Xa1,Xb1,Xc1)).
% 2.92/3.10 all Xa Xb Xc Xa1 Xb1 (-s_col(Xa,Xb,Xc)| -s_e(Xa,Xb,Xa1,Xb1)|s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1))).
% 2.92/3.10 all Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1 (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|Xa=Xb|s_e(Xc,Xd,Xc1,Xd1)).
% 2.92/3.10 all Xa Xb Xc Xp Xq (Xa=Xb| -s_col(Xa,Xb,Xc)| -s_e(Xa,Xp,Xa,Xq)| -s_e(Xb,Xp,Xb,Xq)|s_e(Xc,Xp,Xc,Xq)).
% 2.92/3.10 all Xa Xb Xc Xc1 (Xa=Xb| -s_col(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa,Xc1)| -s_e(Xb,Xc,Xb,Xc1)|Xc=Xc1).
% 2.92/3.11 all Xa Xc Xb Xc1 (-s_t(Xa,Xc,Xb)| -s_e(Xa,Xc,Xa,Xc1)| -s_e(Xb,Xc,Xb,Xc1)|Xc=Xc1).
% 2.92/3.11 all Xa Xb Xc Xd (Xa=Xb| -s_t(Xa,Xb,Xc)| -s_t(Xa,Xb,Xd)|s_t(Xa,Xc,Xd)|s_t(Xa,Xd,Xc)).
% 2.92/3.11 all Xa Xb Xc Xd (Xa=Xb| -s_t(Xa,Xb,Xc)| -s_t(Xa,Xb,Xd)|s_t(Xb,Xc,Xd)|s_t(Xb,Xd,Xc)).
% 2.92/3.11 all Xa Xb Xd Xc (-s_t(Xa,Xb,Xd)| -s_t(Xa,Xc,Xd)|s_t(Xa,Xb,Xc)|s_t(Xa,Xc,Xb)).
% 2.92/3.11 all Xa Xb Xc Xd ((-le(Xa,Xb,Xc,Xd)|s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb)))& (-le(Xa,Xb,Xc,Xd)|s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd))& (-le(Xa,Xb,Xc,Xd)|ins(Xc,Xd,Xa,Xb)=ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd))).
% 2.92/3.11 all Xa Xb Xc Xd Xe (le(Xa,Xb,Xc,Xd)| -s_t(Xa,Xb,Xe)| -s_e(Xa,Xe,Xc,Xd)).
% 2.92/3.11 all Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1 (-le(Xa,Xb,Xc,Xd)| -s_e(Xa,Xb,Xa1,Xb1)| -s_e(Xc,Xd,Xc1,Xd1)|le(Xa1,Xb1,Xc1,Xd1)).
% 2.92/3.11 all Xa Xb le(Xa,Xb,Xa,Xb).
% 2.92/3.11 all Xa Xb Xc Xd Xe Xf (-le(Xa,Xb,Xc,Xd)| -le(Xc,Xd,Xe,Xf)|le(Xa,Xb,Xe,Xf)).
% 2.92/3.11 all Xa Xb Xc Xd (-le(Xa,Xb,Xc,Xd)| -le(Xc,Xd,Xa,Xb)|s_e(Xa,Xb,Xc,Xd)).
% 2.92/3.11 all Xa Xb Xc Xd (le(Xa,Xb,Xc,Xd)|le(Xc,Xd,Xa,Xb)).
% 2.92/3.11 all Xa Xc Xd le(Xa,Xa,Xc,Xd).
% 2.92/3.11 all Xa Xb Xc (-s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc)|le(Xa,Xb,Xa,Xc)).
% 2.92/3.11 all Xa Xb Xc (-s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc)|le(Xb,Xc,Xa,Xc)).
% 2.92/3.11 all Xa Xb Xc (-s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa,Xb)|Xc=Xb).
% 2.92/3.11 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_t(Xa,Xb,Xc)| -le(Xa,Xb,Xa,Xc)| -le(Xb,Xc,Xa,Xc)).
% 2.92/3.11 all Xa Xp Xb Xc (Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)| -s_t(Xb,Xp,Xc)|sameside(Xa,Xp,Xb)).
% 2.92/3.11 all Xa Xp Xb Xc (Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)|s_t(Xb,Xp,Xc)| -sameside(Xa,Xp,Xb)).
% 2.92/3.11 all Xa Xp Xb ((-sameside(Xa,Xp,Xb)|Xa!=Xp)& (-sameside(Xa,Xp,Xb)|Xb!=Xp)& (-sameside(Xa,Xp,Xb)|c63(Xa,Xp,Xb)!=Xp)& (-sameside(Xa,Xp,Xb)|s_t(Xa,Xp,c63(Xa,Xp,Xb)))& (-sameside(Xa,Xp,Xb)|s_t(Xb,Xp,c63(Xa,Xp,Xb)))).
% 2.92/3.11 all Xa Xp Xb Xc (sameside(Xa,Xp,Xb)|Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)| -s_t(Xb,Xp,Xc)).
% 2.92/3.11 all Xa Xp Xb ((-sameside(Xa,Xp,Xb)|s_col(Xa,Xp,Xb))& (-sameside(Xa,Xp,Xb)| -s_t(Xa,Xp,Xb))).
% 2.92/3.11 all Xa Xp Xb (sameside(Xa,Xp,Xb)| -s_col(Xa,Xp,Xb)|s_t(Xa,Xp,Xb)).
% 2.92/3.11 all Xa Xp (Xa=Xp|sameside(Xa,Xp,Xa)).
% 2.92/3.11 all Xa Xp Xb (-sameside(Xa,Xp,Xb)|sameside(Xb,Xp,Xa)).
% 2.92/3.11 all Xa Xp Xb Xc (-sameside(Xa,Xp,Xb)| -sameside(Xb,Xp,Xc)|sameside(Xa,Xp,Xc)).
% 2.92/3.11 -(all Xr Xa Xb Xc ((Xr=Xa|Xb=Xc|sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr))& (Xr=Xa|Xb=Xc|s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc)))).
% 2.92/3.11 all Xa Xb Xa1 Xc1 (insert(Xa,Xb,Xa1,Xc1)=ext(ext(Xc1,Xa1,alpha,gamma),Xa1,Xa,Xb)).
% 2.92/3.11 all Xa Xb Xc Xd Za Zb Zc Zd ((-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)|s_t(Za,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_e(Xb,Xc,Zb,Zc))& (-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,Xd,Zb,Zd))& (-s_t(Xa,Xb,Xc)| -s_t(Za,Zb,Zc)| -s_e(Xa,Xb,Za,Zb)| -s_e(Xb,Xc,Zb,Zc)| -s_e(Xa,Xd,Za,Zd)| -s_e(Xb,Xd,Zb,Zd)|s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd))).
% 2.92/3.11 all Xa Xb Xc Xd Za Zb Zc Zd ((-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)|s_t(Za,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_e(Xb,Xc,Zb,Zc))& (-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(Xc,Xd,Zc,Zd))& (-s_t(Xa,Xb,Xc)| -s_t(Za,Zb,Zc)| -s_e(Xa,Xc,Za,Zc)| -s_e(Xb,Xc,Zb,Zc)| -s_e(Xa,Xd,Za,Zd)| -s_e(Xc,Xd,Zc,Zd)|s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd))).
% 2.92/3.11 all Xa1 Xa2 Xa3 Xb1 Xb2 Xb3 ((-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa1,Xa2,Xb1,Xb2))& (-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa1,Xa3,Xb1,Xb3))& (-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa2,Xa3,Xb2,Xb3))& (-s_e(Xa1,Xa2,Xb1,Xb2)| -s_e(Xa1,Xa3,Xb1,Xb3)| -s_e(Xa2,Xa3,Xb2,Xb3)|s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3))).
% 2.92/3.11 all Xa Xb Xc ((-s_col(Xa,Xb,Xc)|s_t(Xa,Xb,Xc)|s_t(Xb,Xc,Xa)|s_t(Xc,Xa,Xb))& (s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc))& (s_col(Xa,Xb,Xc)| -s_t(Xb,Xc,Xa))& (s_col(Xa,Xb,Xc)| -s_t(Xc,Xa,Xb))).
% 2.92/3.11 all Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1 ((-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)|s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1))& (-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_e(Xb,Xd,Xb1,Xd1))& (-s_col(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)| -s_e(Xa,Xd,Xa1,Xd1)| -s_e(Xb,Xd,Xb1,Xd1)|s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1))).
% 2.92/3.11 all Xa Xb Xc Xd Y ((-le(Xa,Xb,Xc,Xd)|s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd))& (-le(Xa,Xb,Xc,Xd)|s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd)))& (-s_t(Xc,Y,Xd)| -s_e(Xa,Xb,Xc,Y)|le(Xa,Xb,Xc,Xd))).
% 2.92/3.11 all Xa Xp Xb ((-sameside(Xa,Xp,Xb)|Xa!=Xp)& (-sameside(Xa,Xp,Xb)|Xb!=Xp)& (-sameside(Xa,Xp,Xb)|s_t(Xp,Xa,Xb)|s_t(Xp,Xb,Xa))& (-s_t(Xp,Xa,Xb)|Xa=Xp|xb=Xp|sameside(Xa,Xp,Xb))& (-s_t(Xp,Xb,Xa)|Xa=Xp|Xb=Xp|sameside(Xa,Xp,Xb))).
% 2.92/3.11 end_of_list.
% 2.92/3.11
% 2.92/3.11 -------> usable clausifies to:
% 2.92/3.11
% 2.92/3.11 list(usable).
% 2.92/3.11 0 [] A=A.
% 2.92/3.11 0 [] s_e(X,Y,Y,X).
% 2.92/3.11 0 [] -s_e(X,Y,Z,V)| -s_e(X,Y,Z2,V2)|s_e(Z,V,Z2,V2).
% 2.92/3.11 0 [] -s_e(X,Y,Z,Z)|X=Y.
% 2.92/3.11 0 [] s_t(X,Y,ext(X,Y,W,V)).
% 2.92/3.11 0 [] s_e(Y,ext(X,Y,W,V),W,V).
% 2.92/3.11 0 [] -s_e(X,Y,X1,Y1)| -s_e(Y,Z,Y1,Z1)| -s_e(X,V,X1,V1)| -s_e(Y,V,Y1,V1)| -s_t(X,Y,Z)| -s_t(X1,Y1,Z1)|X=Y|s_e(Z,V,Z1,V1).
% 2.92/3.11 0 [] -s_t(X,Y,X)|X=Y.
% 2.92/3.11 0 [] -s_t(Xa,Xp,Xc)| -s_t(Xb,Xq,Xc)|s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb).
% 2.92/3.11 0 [] -s_t(Xa,Xp,Xc)| -s_t(Xb,Xq,Xc)|s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa).
% 2.92/3.11 0 [] -s_t(alpha,beta,gamma).
% 2.92/3.11 0 [] -s_t(beta,gamma,alpha).
% 2.92/3.11 0 [] -s_t(gamma,alpha,beta).
% 2.92/3.11 0 [] s_e(Xa,Xb,Xa,Xb).
% 2.92/3.11 0 [] -s_e(Xa,Xb,Xc,Xd)|s_e(Xc,Xd,Xa,Xb).
% 2.92/3.11 0 [] -s_e(Xa,Xb,Xc,Xd)| -s_e(Xc,Xd,Xe,Xf)|s_e(Xa,Xb,Xe,Xf).
% 2.92/3.11 0 [] -s_e(Xa,Xb,Xc,Xd)|s_e(Xb,Xa,Xc,Xd).
% 2.92/3.11 0 [] -s_e(Xa,Xb,Xc,Xd)|s_e(Xa,Xb,Xd,Xc).
% 2.92/3.11 0 [] s_e(Xa,Xa,Xb,Xb).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc1)| -s_e(Xa,Xb,Xa1,Xb1)| -s_e(Xb,Xc,Xb1,Xc1)|s_e(Xa,Xc,Xa1,Xc1).
% 2.92/3.11 0 [] Xq=Xa| -s_t(Xq,Xa,Xd)| -s_e(Xa,Xd,Xb,Xc)|Xd=ext(Xq,Xa,Xb,Xc).
% 2.92/3.11 0 [] -s_e(Xb,Xc,Xa,Xa)|Xb=Xc.
% 2.92/3.11 0 [] -s_e(Xa,Xb,Xc,Xd)|s_e(Xb,Xa,Xd,Xc).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(XA,XB,XC)| -s_e(Xa,Xb,XB,XC)| -s_e(Xb,Xc,XA,XB)|s_e(Xa,Xc,XA,XC).
% 2.92/3.11 0 [] s_t(Xa,Xb,Xb).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)|s_t(Xc,Xb,Xa).
% 2.92/3.11 0 [] s_t(Xa1,Xa1,Xb1).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xb,Xa,Xc)|Xa=Xb.
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xd)| -s_t(Xb,Xc,Xd)|s_t(Xa,Xb,Xc).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa,Xc,Xd)|s_t(Xb,Xc,Xd).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xb,Xc,Xd)|Xb=Xc|s_t(Xa,Xc,Xd).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xd)| -s_t(Xb,Xc,Xd)|s_t(Xa,Xc,Xd).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa,Xc,Xd)|s_t(Xa,Xb,Xd).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xb,Xc,Xd)|Xb=Xc|s_t(Xa,Xb,Xd).
% 2.92/3.11 0 [] alpha!=beta.
% 2.92/3.11 0 [] beta!=gamma.
% 2.92/3.11 0 [] alpha!=gamma.
% 2.92/3.11 0 [] s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma)).
% 2.92/3.11 0 [] Xb!=ext(Xa,Xb,alpha,gamma).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc)| -s_t(Xa,Xp,Xa1)|s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc)| -s_t(Xa,Xp,Xa1)|s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1).
% 2.92/3.11 0 [] -s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e(Xb,Xd,Xb1,Xd1).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc1)| -s_e(Xa,Xc,Xa1,Xc1)| -s_e(Xb,Xc,Xb1,Xc1)|s_e(Xa,Xb,Xa1,Xb1).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa1,Xc1)|s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa1,Xc1)|s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)|s_t(Xa1,Xb1,Xc1).
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)|s_col(Xb,Xc,Xa).
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)|s_col(Xc,Xa,Xb).
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)|s_col(Xc,Xb,Xa).
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)|s_col(Xb,Xa,Xc).
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)|s_col(Xa,Xc,Xb).
% 2.92/3.11 0 [] s_col(Xa,Xa,Xb).
% 2.92/3.11 0 [] s_col(Xa,Xb,Xa).
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)|s_col(Xa1,Xb1,Xc1).
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)| -s_e(Xa,Xb,Xa1,Xb1)|s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)).
% 2.92/3.11 0 [] -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|Xa=Xb|s_e(Xc,Xd,Xc1,Xd1).
% 2.92/3.11 0 [] Xa=Xb| -s_col(Xa,Xb,Xc)| -s_e(Xa,Xp,Xa,Xq)| -s_e(Xb,Xp,Xb,Xq)|s_e(Xc,Xp,Xc,Xq).
% 2.92/3.11 0 [] Xa=Xb| -s_col(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa,Xc1)| -s_e(Xb,Xc,Xb,Xc1)|Xc=Xc1.
% 2.92/3.11 0 [] -s_t(Xa,Xc,Xb)| -s_e(Xa,Xc,Xa,Xc1)| -s_e(Xb,Xc,Xb,Xc1)|Xc=Xc1.
% 2.92/3.11 0 [] Xa=Xb| -s_t(Xa,Xb,Xc)| -s_t(Xa,Xb,Xd)|s_t(Xa,Xc,Xd)|s_t(Xa,Xd,Xc).
% 2.92/3.11 0 [] Xa=Xb| -s_t(Xa,Xb,Xc)| -s_t(Xa,Xb,Xd)|s_t(Xb,Xc,Xd)|s_t(Xb,Xd,Xc).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xd)| -s_t(Xa,Xc,Xd)|s_t(Xa,Xb,Xc)|s_t(Xa,Xc,Xb).
% 2.92/3.11 0 [] -le(Xa,Xb,Xc,Xd)|s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb)).
% 2.92/3.11 0 [] -le(Xa,Xb,Xc,Xd)|s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd).
% 2.92/3.11 0 [] -le(Xa,Xb,Xc,Xd)|ins(Xc,Xd,Xa,Xb)=ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd).
% 2.92/3.11 0 [] le(Xa,Xb,Xc,Xd)| -s_t(Xa,Xb,Xe)| -s_e(Xa,Xe,Xc,Xd).
% 2.92/3.11 0 [] -le(Xa,Xb,Xc,Xd)| -s_e(Xa,Xb,Xa1,Xb1)| -s_e(Xc,Xd,Xc1,Xd1)|le(Xa1,Xb1,Xc1,Xd1).
% 2.92/3.11 0 [] le(Xa,Xb,Xa,Xb).
% 2.92/3.11 0 [] -le(Xa,Xb,Xc,Xd)| -le(Xc,Xd,Xe,Xf)|le(Xa,Xb,Xe,Xf).
% 2.92/3.11 0 [] -le(Xa,Xb,Xc,Xd)| -le(Xc,Xd,Xa,Xb)|s_e(Xa,Xb,Xc,Xd).
% 2.92/3.11 0 [] le(Xa,Xb,Xc,Xd)|le(Xc,Xd,Xa,Xb).
% 2.92/3.11 0 [] le(Xa,Xa,Xc,Xd).
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc)|le(Xa,Xb,Xa,Xc).
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc)|le(Xb,Xc,Xa,Xc).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa,Xb)|Xc=Xb.
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)|s_t(Xa,Xb,Xc)| -le(Xa,Xb,Xa,Xc)| -le(Xb,Xc,Xa,Xc).
% 2.92/3.11 0 [] Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)| -s_t(Xb,Xp,Xc)|sameside(Xa,Xp,Xb).
% 2.92/3.11 0 [] Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)|s_t(Xb,Xp,Xc)| -sameside(Xa,Xp,Xb).
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)|Xa!=Xp.
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)|Xb!=Xp.
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)|c63(Xa,Xp,Xb)!=Xp.
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)|s_t(Xa,Xp,c63(Xa,Xp,Xb)).
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)|s_t(Xb,Xp,c63(Xa,Xp,Xb)).
% 2.92/3.11 0 [] sameside(Xa,Xp,Xb)|Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)| -s_t(Xb,Xp,Xc).
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)|s_col(Xa,Xp,Xb).
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)| -s_t(Xa,Xp,Xb).
% 2.92/3.11 0 [] sameside(Xa,Xp,Xb)| -s_col(Xa,Xp,Xb)|s_t(Xa,Xp,Xb).
% 2.92/3.11 0 [] Xa=Xp|sameside(Xa,Xp,Xa).
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)|sameside(Xb,Xp,Xa).
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)| -sameside(Xb,Xp,Xc)|sameside(Xa,Xp,Xc).
% 2.92/3.11 0 [] $c4!=$c3.
% 2.92/3.11 0 [] $c2!=$c1.
% 2.92/3.11 0 [] -sameside(insert($c2,$c1,$c3,$c4),$c3,$c4)| -s_e($c3,insert($c2,$c1,$c3,$c4),$c2,$c1).
% 2.92/3.11 0 [] insert(Xa,Xb,Xa1,Xc1)=ext(ext(Xc1,Xa1,alpha,gamma),Xa1,Xa,Xb).
% 2.92/3.11 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Xa,Xb,Xc).
% 2.92/3.11 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Za,Zb,Zc).
% 2.92/3.11 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xb,Za,Zb).
% 2.92/3.11 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xb,Xc,Zb,Zc).
% 2.92/3.11 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xd,Za,Zd).
% 2.92/3.11 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xb,Xd,Zb,Zd).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(Za,Zb,Zc)| -s_e(Xa,Xb,Za,Zb)| -s_e(Xb,Xc,Zb,Zc)| -s_e(Xa,Xd,Za,Zd)| -s_e(Xb,Xd,Zb,Zd)|s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd).
% 2.92/3.11 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Xa,Xb,Xc).
% 2.92/3.11 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Za,Zb,Zc).
% 2.92/3.11 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xc,Za,Zc).
% 2.92/3.11 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xb,Xc,Zb,Zc).
% 2.92/3.11 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xd,Za,Zd).
% 2.92/3.11 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xc,Xd,Zc,Zd).
% 2.92/3.11 0 [] -s_t(Xa,Xb,Xc)| -s_t(Za,Zb,Zc)| -s_e(Xa,Xc,Za,Zc)| -s_e(Xb,Xc,Zb,Zc)| -s_e(Xa,Xd,Za,Zd)| -s_e(Xc,Xd,Zc,Zd)|s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd).
% 2.92/3.11 0 [] -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa1,Xa2,Xb1,Xb2).
% 2.92/3.11 0 [] -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa1,Xa3,Xb1,Xb3).
% 2.92/3.11 0 [] -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa2,Xa3,Xb2,Xb3).
% 2.92/3.11 0 [] -s_e(Xa1,Xa2,Xb1,Xb2)| -s_e(Xa1,Xa3,Xb1,Xb3)| -s_e(Xa2,Xa3,Xb2,Xb3)|s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3).
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)|s_t(Xa,Xb,Xc)|s_t(Xb,Xc,Xa)|s_t(Xc,Xa,Xb).
% 2.92/3.11 0 [] s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc).
% 2.92/3.11 0 [] s_col(Xa,Xb,Xc)| -s_t(Xb,Xc,Xa).
% 2.92/3.11 0 [] s_col(Xa,Xb,Xc)| -s_t(Xc,Xa,Xb).
% 2.92/3.11 0 [] -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_col(Xa,Xb,Xc).
% 2.92/3.11 0 [] -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1).
% 2.92/3.11 0 [] -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e(Xa,Xd,Xa1,Xd1).
% 2.92/3.11 0 [] -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e(Xb,Xd,Xb1,Xd1).
% 2.92/3.11 0 [] -s_col(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)| -s_e(Xa,Xd,Xa1,Xd1)| -s_e(Xb,Xd,Xb1,Xd1)|s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1).
% 2.92/3.11 0 [] -le(Xa,Xb,Xc,Xd)|s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd).
% 2.92/3.11 0 [] -le(Xa,Xb,Xc,Xd)|s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd)).
% 2.92/3.11 0 [] -s_t(Xc,Y,Xd)| -s_e(Xa,Xb,Xc,Y)|le(Xa,Xb,Xc,Xd).
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)|Xa!=Xp.
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)|Xb!=Xp.
% 2.92/3.11 0 [] -sameside(Xa,Xp,Xb)|s_t(Xp,Xa,Xb)|s_t(Xp,Xb,Xa).
% 2.92/3.11 0 [] -s_t(Xp,Xa,Xb)|Xa=Xp|xb=Xp|sameside(Xa,Xp,Xb).
% 2.92/3.11 0 [] -s_t(Xp,Xb,Xa)|Xa=Xp|Xb=Xp|sameside(Xa,Xp,Xb).
% 2.92/3.11 end_of_list.
% 2.92/3.11
% 2.92/3.11 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.92/3.11
% 2.92/3.11 This ia a non-Horn set with equality. The strategy will be
% 2.92/3.11 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.92/3.11 deletion, with positive clauses in sos and nonpositive
% 2.92/3.11 clauses in usable.
% 2.92/3.11
% 2.92/3.11 dependent: set(knuth_bendix).
% 2.92/3.11 dependent: set(anl_eq).
% 2.92/3.11 dependent: set(para_from).
% 2.92/3.11 dependent: set(para_into).
% 2.92/3.11 dependent: clear(para_from_right).
% 2.92/3.11 dependent: clear(para_into_right).
% 2.92/3.11 dependent: set(para_from_vars).
% 2.92/3.11 dependent: set(eq_units_both_ways).
% 2.92/3.11 dependent: set(dynamic_demod_all).
% 2.92/3.11 dependent: set(dynamic_demod).
% 2.92/3.11 dependent: set(order_eq).
% 2.92/3.11 dependent: set(back_demod).
% 2.92/3.11 dependent: set(lrpo).
% 2.92/3.11 dependent: set(hyper_res).
% 2.92/3.11 dependent: set(unit_deletion).
% 2.92/3.11 dependent: set(factor).
% 2.92/3.11
% 2.92/3.13 ------------> process usable:
% 2.92/3.13 ** KEPT (pick-wt=15): 1 [] -s_e(A,B,C,D)| -s_e(A,B,E,F)|s_e(C,D,E,F).
% 2.92/3.13 ** KEPT (pick-wt=8): 2 [] -s_e(A,B,C,C)|A=B.
% 2.92/3.13 ** KEPT (pick-wt=36): 3 [] -s_e(A,B,C,D)| -s_e(B,E,D,F)| -s_e(A,G,C,H)| -s_e(B,G,D,H)| -s_t(A,B,E)| -s_t(C,D,F)|A=B|s_e(E,G,F,H).
% 2.92/3.13 ** KEPT (pick-wt=7): 4 [] -s_t(A,B,A)|A=B.
% 2.92/3.13 ** KEPT (pick-wt=17): 5 [] -s_t(A,B,C)| -s_t(D,E,C)|s_t(B,ip(A,B,C,D,E),D).
% 2.92/3.13 ** KEPT (pick-wt=17): 6 [] -s_t(A,B,C)| -s_t(D,E,C)|s_t(E,ip(A,B,C,D,E),A).
% 2.92/3.13 ** KEPT (pick-wt=4): 7 [] -s_t(alpha,beta,gamma).
% 2.92/3.13 ** KEPT (pick-wt=4): 8 [] -s_t(beta,gamma,alpha).
% 2.92/3.13 ** KEPT (pick-wt=4): 9 [] -s_t(gamma,alpha,beta).
% 2.92/3.13 ** KEPT (pick-wt=10): 10 [] -s_e(A,B,C,D)|s_e(C,D,A,B).
% 2.92/3.13 ** KEPT (pick-wt=15): 11 [] -s_e(A,B,C,D)| -s_e(C,D,E,F)|s_e(A,B,E,F).
% 2.92/3.13 ** KEPT (pick-wt=10): 12 [] -s_e(A,B,C,D)|s_e(B,A,C,D).
% 2.92/3.13 ** KEPT (pick-wt=10): 13 [] -s_e(A,B,C,D)|s_e(A,B,D,C).
% 2.92/3.13 ** KEPT (pick-wt=23): 14 [] -s_t(A,B,C)| -s_t(D,E,F)| -s_e(A,B,D,E)| -s_e(B,C,E,F)|s_e(A,C,D,F).
% 2.92/3.13 ** KEPT (pick-wt=19): 15 [] A=B| -s_t(A,B,C)| -s_e(B,C,D,E)|C=ext(A,B,D,E).
% 2.92/3.13 Following clause subsumed by 2 during input processing: 0 [] -s_e(A,B,C,C)|A=B.
% 2.92/3.13 ** KEPT (pick-wt=10): 16 [] -s_e(A,B,C,D)|s_e(B,A,D,C).
% 2.92/3.13 ** KEPT (pick-wt=23): 17 [] -s_t(A,B,C)| -s_t(D,E,F)| -s_e(A,B,E,F)| -s_e(B,C,D,E)|s_e(A,C,D,F).
% 2.92/3.13 ** KEPT (pick-wt=8): 18 [] -s_t(A,B,C)|s_t(C,B,A).
% 2.92/3.13 ** KEPT (pick-wt=11): 19 [] -s_t(A,B,C)| -s_t(B,A,C)|A=B.
% 2.92/3.13 ** KEPT (pick-wt=12): 20 [] -s_t(A,B,C)| -s_t(B,D,C)|s_t(A,B,D).
% 2.92/3.13 ** KEPT (pick-wt=12): 21 [] -s_t(A,B,C)| -s_t(A,C,D)|s_t(B,C,D).
% 2.92/3.13 ** KEPT (pick-wt=15): 22 [] -s_t(A,B,C)| -s_t(B,C,D)|B=C|s_t(A,C,D).
% 2.92/3.13 ** KEPT (pick-wt=12): 23 [] -s_t(A,B,C)| -s_t(B,D,C)|s_t(A,D,C).
% 2.92/3.13 ** KEPT (pick-wt=12): 24 [] -s_t(A,B,C)| -s_t(A,C,D)|s_t(A,B,D).
% 2.92/3.13 ** KEPT (pick-wt=15): 25 [] -s_t(A,B,C)| -s_t(B,C,D)|B=C|s_t(A,B,D).
% 2.92/3.13 ** KEPT (pick-wt=3): 27 [copy,26,flip.1] beta!=alpha.
% 2.92/3.13 ** KEPT (pick-wt=3): 29 [copy,28,flip.1] gamma!=beta.
% 2.92/3.13 ** KEPT (pick-wt=3): 31 [copy,30,flip.1] gamma!=alpha.
% 2.92/3.13 ** KEPT (pick-wt=7): 33 [copy,32,flip.1] ext(A,B,alpha,gamma)!=B.
% 2.92/3.13 ** KEPT (pick-wt=22): 34 [] -s_t(A,B,C)| -s_t(D,E,C)| -s_t(A,F,D)|s_t(F,crossbar(A,B,C,D,E,F),C).
% 2.92/3.13 ** KEPT (pick-wt=22): 35 [] -s_t(A,B,C)| -s_t(D,E,C)| -s_t(A,F,D)|s_t(B,crossbar(A,B,C,D,E,F),E).
% 2.92/3.13 ** KEPT (pick-wt=14): 36 [] -s_ifs(A,B,C,D,E,F,G,H)|s_e(B,D,F,H).
% 2.92/3.13 ** KEPT (pick-wt=23): 37 [] -s_t(A,B,C)| -s_t(D,E,F)| -s_e(A,C,D,F)| -s_e(B,C,E,F)|s_e(A,B,D,E).
% 2.92/3.13 ** KEPT (pick-wt=17): 38 [] -s_t(A,B,C)| -s_e(A,C,D,E)|s_t(D,insert(A,B,D,E),E).
% 2.92/3.13 ** KEPT (pick-wt=20): 39 [] -s_t(A,B,C)| -s_e(A,C,D,E)|s_e3(A,B,C,D,insert(A,B,D,E),E).
% 2.92/3.13 ** KEPT (pick-wt=15): 40 [] -s_t(A,B,C)| -s_e3(A,B,C,D,E,F)|s_t(D,E,F).
% 2.92/3.13 ** KEPT (pick-wt=8): 41 [] -s_col(A,B,C)|s_col(B,C,A).
% 2.92/3.13 ** KEPT (pick-wt=8): 42 [] -s_col(A,B,C)|s_col(C,A,B).
% 2.92/3.13 ** KEPT (pick-wt=8): 43 [] -s_col(A,B,C)|s_col(C,B,A).
% 2.92/3.13 ** KEPT (pick-wt=8): 44 [] -s_col(A,B,C)|s_col(B,A,C).
% 2.92/3.13 ** KEPT (pick-wt=8): 45 [] -s_col(A,B,C)|s_col(A,C,B).
% 2.92/3.13 ** KEPT (pick-wt=15): 46 [] -s_col(A,B,C)| -s_e3(A,B,C,D,E,F)|s_col(D,E,F).
% 2.92/3.13 ** KEPT (pick-wt=21): 47 [] -s_col(A,B,C)| -s_e(A,B,D,E)|s_e3(A,B,C,D,E,insert5(A,B,C,D,E)).
% 2.92/3.13 ** KEPT (pick-wt=17): 48 [] -s_fs(A,B,C,D,E,F,G,H)|A=B|s_e(C,D,G,H).
% 2.92/3.13 ** KEPT (pick-wt=22): 49 [] A=B| -s_col(A,B,C)| -s_e(A,D,A,E)| -s_e(B,D,B,E)|s_e(C,D,C,E).
% 2.92/3.13 ** KEPT (pick-wt=20): 50 [] A=B| -s_col(A,B,C)| -s_e(A,C,A,D)| -s_e(B,C,B,D)|C=D.
% 2.92/3.13 ** KEPT (pick-wt=17): 51 [] -s_t(A,B,C)| -s_e(A,B,A,D)| -s_e(C,B,C,D)|B=D.
% 2.92/3.13 ** KEPT (pick-wt=19): 52 [] A=B| -s_t(A,B,C)| -s_t(A,B,D)|s_t(A,C,D)|s_t(A,D,C).
% 2.92/3.13 ** KEPT (pick-wt=19): 53 [] A=B| -s_t(A,B,C)| -s_t(A,B,D)|s_t(B,C,D)|s_t(B,D,C).
% 2.92/3.13 ** KEPT (pick-wt=16): 54 [] -s_t(A,B,C)| -s_t(A,D,C)|s_t(A,B,D)|s_t(A,D,B).
% 2.92/3.13 ** KEPT (pick-wt=13): 55 [] -le(A,B,C,D)|s_t(A,B,ins(C,D,A,B)).
% 2.92/3.13 ** KEPT (pick-wt=14): 56 [] -le(A,B,C,D)|s_e(A,ins(C,D,A,B),C,D).
% 2.92/3.13 ** KEPT (pick-wt=20): 58 [copy,57,flip.2] -le(A,B,C,D)|ext(A,B,insert(A,B,C,D),D)=ins(C,D,A,B).
% 2.92/3.13 ** KEPT (pick-wt=14): 59 [] le(A,B,C,D)| -s_t(A,B,E)| -s_e(A,E,C,D).
% 2.92/3.13 ** KEPT (pick-wt=20): 60 [] -le(A,B,C,D)| -s_e(A,B,E,F)| -s_e(C,D,G,H)|le(E,F,G,H).
% 2.92/3.13 ** KEPT (pick-wt=15): 61 [] -le(A,B,C,D)| -le(C,D,E,F)|le(A,B,E,F).
% 2.92/3.13 ** KEPT (pick-wt=15): 62 [] -le(A,B,C,D)| -le(C,D,A,B)|s_e(A,B,C,D).
% 2.92/3.13 ** KEPT (pick-wt=13): 63 [] -s_col(A,B,C)| -s_t(A,B,C)|le(A,B,A,C).
% 2.92/3.13 ** KEPT (pick-wt=13): 64 [] -s_col(A,B,C)| -s_t(A,B,C)|le(B,C,A,C).
% 2.92/3.13 ** KEPT (pick-wt=12): 65 [] -s_t(A,B,C)| -s_e(A,C,A,B)|C=B.
% 2.92/3.13 ** KEPT (pick-wt=18): 66 [] -s_col(A,B,C)|s_t(A,B,C)| -le(A,B,A,C)| -le(B,C,A,C).
% 2.92/3.13 ** KEPT (pick-wt=21): 67 [] A=B|C=B|D=B| -s_t(A,B,D)| -s_t(C,B,D)|sameside(A,B,C).
% 2.92/3.13 ** KEPT (pick-wt=21): 68 [] A=B|C=B|D=B| -s_t(A,B,D)|s_t(C,B,D)| -sameside(A,B,C).
% 2.92/3.13 ** KEPT (pick-wt=7): 69 [] -sameside(A,B,C)|A!=B.
% 2.92/3.13 ** KEPT (pick-wt=7): 70 [] -sameside(A,B,C)|C!=B.
% 2.92/3.13 ** KEPT (pick-wt=10): 71 [] -sameside(A,B,C)|c63(A,B,C)!=B.
% 2.92/3.13 ** KEPT (pick-wt=11): 72 [] -sameside(A,B,C)|s_t(A,B,c63(A,B,C)).
% 2.92/3.13 ** KEPT (pick-wt=11): 73 [] -sameside(A,B,C)|s_t(C,B,c63(A,B,C)).
% 2.92/3.13 Following clause subsumed by 67 during input processing: 0 [] sameside(A,B,C)|A=B|C=B|D=B| -s_t(A,B,D)| -s_t(C,B,D).
% 2.92/3.13 ** KEPT (pick-wt=8): 74 [] -sameside(A,B,C)|s_col(A,B,C).
% 2.92/3.13 ** KEPT (pick-wt=8): 75 [] -sameside(A,B,C)| -s_t(A,B,C).
% 2.92/3.13 ** KEPT (pick-wt=12): 76 [] sameside(A,B,C)| -s_col(A,B,C)|s_t(A,B,C).
% 2.92/3.13 ** KEPT (pick-wt=8): 77 [] -sameside(A,B,C)|sameside(C,B,A).
% 2.92/3.13 ** KEPT (pick-wt=12): 78 [] -sameside(A,B,C)| -sameside(C,B,D)|sameside(A,B,D).
% 2.92/3.13 ** KEPT (pick-wt=3): 79 [] $c4!=$c3.
% 2.92/3.13 ** KEPT (pick-wt=3): 80 [] $c2!=$c1.
% 2.92/3.13 ** KEPT (pick-wt=17): 81 [] -sameside(insert($c2,$c1,$c3,$c4),$c3,$c4)| -s_e($c3,insert($c2,$c1,$c3,$c4),$c2,$c1).
% 2.92/3.13 ** KEPT (pick-wt=13): 82 [] -s_afs(A,B,C,D,E,F,G,H)|s_t(A,B,C).
% 2.92/3.13 ** KEPT (pick-wt=13): 83 [] -s_afs(A,B,C,D,E,F,G,H)|s_t(E,F,G).
% 2.92/3.13 ** KEPT (pick-wt=14): 84 [] -s_afs(A,B,C,D,E,F,G,H)|s_e(A,B,E,F).
% 2.92/3.13 ** KEPT (pick-wt=14): 85 [] -s_afs(A,B,C,D,E,F,G,H)|s_e(B,C,F,G).
% 2.92/3.13 ** KEPT (pick-wt=14): 86 [] -s_afs(A,B,C,D,E,F,G,H)|s_e(A,D,E,H).
% 2.92/3.13 ** KEPT (pick-wt=14): 87 [] -s_afs(A,B,C,D,E,F,G,H)|s_e(B,D,F,H).
% 2.92/3.13 ** KEPT (pick-wt=37): 88 [] -s_t(A,B,C)| -s_t(D,E,F)| -s_e(A,B,D,E)| -s_e(B,C,E,F)| -s_e(A,G,D,H)| -s_e(B,G,E,H)|s_afs(A,B,C,G,D,E,F,H).
% 2.92/3.13 ** KEPT (pick-wt=13): 89 [] -s_ifs(A,B,C,D,E,F,G,H)|s_t(A,B,C).
% 2.92/3.13 ** KEPT (pick-wt=13): 90 [] -s_ifs(A,B,C,D,E,F,G,H)|s_t(E,F,G).
% 2.92/3.13 ** KEPT (pick-wt=14): 91 [] -s_ifs(A,B,C,D,E,F,G,H)|s_e(A,C,E,G).
% 2.92/3.13 ** KEPT (pick-wt=14): 92 [] -s_ifs(A,B,C,D,E,F,G,H)|s_e(B,C,F,G).
% 2.92/3.13 ** KEPT (pick-wt=14): 93 [] -s_ifs(A,B,C,D,E,F,G,H)|s_e(A,D,E,H).
% 2.92/3.13 ** KEPT (pick-wt=14): 94 [] -s_ifs(A,B,C,D,E,F,G,H)|s_e(C,D,G,H).
% 2.92/3.13 ** KEPT (pick-wt=37): 95 [] -s_t(A,B,C)| -s_t(D,E,F)| -s_e(A,C,D,F)| -s_e(B,C,E,F)| -s_e(A,G,D,H)| -s_e(C,G,F,H)|s_ifs(A,B,C,G,D,E,F,H).
% 2.92/3.13 ** KEPT (pick-wt=12): 96 [] -s_e3(A,B,C,D,E,F)|s_e(A,B,D,E).
% 2.92/3.13 ** KEPT (pick-wt=12): 97 [] -s_e3(A,B,C,D,E,F)|s_e(A,C,D,F).
% 2.92/3.13 ** KEPT (pick-wt=12): 98 [] -s_e3(A,B,C,D,E,F)|s_e(B,C,E,F).
% 2.92/3.13 ** KEPT (pick-wt=22): 99 [] -s_e(A,B,C,D)| -s_e(A,E,C,F)| -s_e(B,E,D,F)|s_e3(A,B,E,C,D,F).
% 2.92/3.13 ** KEPT (pick-wt=16): 100 [] -s_col(A,B,C)|s_t(A,B,C)|s_t(B,C,A)|s_t(C,A,B).
% 2.92/3.13 ** KEPT (pick-wt=8): 101 [] s_col(A,B,C)| -s_t(A,B,C).
% 2.92/3.13 ** KEPT (pick-wt=8): 102 [] s_col(A,B,C)| -s_t(B,C,A).
% 2.92/3.13 ** KEPT (pick-wt=8): 103 [] s_col(A,B,C)| -s_t(C,A,B).
% 2.92/3.13 ** KEPT (pick-wt=13): 104 [] -s_fs(A,B,C,D,E,F,G,H)|s_col(A,B,C).
% 2.92/3.13 ** KEPT (pick-wt=16): 105 [] -s_fs(A,B,C,D,E,F,G,H)|s_e3(A,B,C,E,F,G).
% 2.92/3.13 ** KEPT (pick-wt=14): 106 [] -s_fs(A,B,C,D,E,F,G,H)|s_e(A,D,E,H).
% 2.92/3.13 ** KEPT (pick-wt=14): 107 [] -s_fs(A,B,C,D,E,F,G,H)|s_e(B,D,F,H).
% 2.92/3.13 ** KEPT (pick-wt=30): 108 [] -s_col(A,B,C)| -s_e3(A,B,C,D,E,F)| -s_e(A,G,D,H)| -s_e(B,G,E,H)|s_fs(A,B,C,G,D,E,F,H).
% 2.92/3.13 ** KEPT (pick-wt=13): 109 [] -le(A,B,C,D)|s_t(C,insert(A,B,C,D),D).
% 2.92/3.13 ** KEPT (pick-wt=14): 110 [] -le(A,B,C,D)|s_e(A,B,C,insert(A,B,C,D)).
% 2.92/3.13 ** KEPT (pick-wt=14): 111 [] -s_t(A,B,C)| -s_e(D,E,A,B)|le(D,E,A,C).
% 2.92/3.13 Following clause subsumed by 69 during input processing: 0 [] -sameside(A,B,C)|A!=B.
% 2.92/3.13 Following clause subsumed by 70 during input processing: 0 [] -sameside(A,B,C)|C!=B.
% 2.92/3.13 ** KEPT (pick-wt=12): 112 [] -sameside(A,B,C)|s_t(B,A,C)|s_t(B,C,A).
% 2.92/3.13 ** KEPT (pick-wt=14): 113 [] -s_t(A,B,C)|B=A|xb=A|sameside(B,A,C).
% 2.92/3.13 ** KEPT (pick-wt=14): 114 [] -s_t(A,B,C)|C=A|B=A|sameside(C,A,B).
% 2.92/3.13 138 back subsumes 122.
% 2.92/3.13 160 back subsumes 141.
% 2.92/3.13
% 2.92/3.13 ------------> process sos:
% 2.92/3.13 ** KEPT (pick-wt=3): 189 [] A=A.
% 2.92/3.13 ** KEPT (pick-wt=5): 190 [] s_e(A,B,B,A).
% 2.92/3.13 ** KEPT (piAlarm clock
% 299.89/300.03 Otter interrupted
% 299.89/300.03 PROOF NOT FOUND
%------------------------------------------------------------------------------