TSTP Solution File: COL095-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : COL095-2 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 12:48:13 EDT 2022
% Result : Unknown 8.00s 8.14s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL095-2 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 02:35:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.96/8.09 ----- Otter 3.3f, August 2004 -----
% 7.96/8.09 The process was started by sandbox on n015.cluster.edu,
% 7.96/8.09 Wed Jul 27 02:35:41 2022
% 7.96/8.09 The command was "./otter". The process ID is 3916.
% 7.96/8.09
% 7.96/8.09 set(prolog_style_variables).
% 7.96/8.09 set(auto).
% 7.96/8.09 dependent: set(auto1).
% 7.96/8.09 dependent: set(process_input).
% 7.96/8.09 dependent: clear(print_kept).
% 7.96/8.09 dependent: clear(print_new_demod).
% 7.96/8.09 dependent: clear(print_back_demod).
% 7.96/8.09 dependent: clear(print_back_sub).
% 7.96/8.09 dependent: set(control_memory).
% 7.96/8.09 dependent: assign(max_mem, 12000).
% 7.96/8.09 dependent: assign(pick_given_ratio, 4).
% 7.96/8.09 dependent: assign(stats_level, 1).
% 7.96/8.09 dependent: assign(max_seconds, 10800).
% 7.96/8.09 clear(print_given).
% 7.96/8.09
% 7.96/8.09 list(usable).
% 7.96/8.09 0 [] A=A.
% 7.96/8.09 0 [] member(U,cons(U,V)).
% 7.96/8.09 0 [] -member(U,V)|member(U,cons(W,V)).
% 7.96/8.09 0 [] -member(U,nat)|member(succ(U),nat).
% 7.96/8.09 0 [] U!=V|inr(U)=inr(V).
% 7.96/8.09 0 [] U!=V|inl(U)=inl(V).
% 7.96/8.09 0 [] -member(U,V)|member(inl(U),disjsum(V,W)).
% 7.96/8.09 0 [] -member(U,V)|member(inr(U),disjsum(W,V)).
% 7.96/8.09 0 [] -member(U,V)| -member(W,cons(U,X))|member(cons_subsetI_sk1(U,X,V),X)|member(W,V).
% 7.96/8.09 0 [] -member(U,V)| -member(cons_subsetI_sk1(U,W,V),V)| -member(X,cons(U,W))|member(X,V).
% 7.96/8.09 0 [] -member(A,C)| -subset(B,C)|subset(cons(A,B),C).
% 7.96/8.09 0 [] -member(pair(U,V),W)|member(pair(V,U),converse(W)).
% 7.96/8.09 0 [] U!=V|cons(U,eptset)=cons(V,eptset).
% 7.96/8.09 0 [] -member(U,V)|member(U,succ(V)).
% 7.96/8.09 0 [] U!=V|member(U,succ(V)).
% 7.96/8.09 0 [] member(U,cons(U,eptset)).
% 7.96/8.09 0 [] -member(U,V)|member(U,cons(W,V)).
% 7.96/8.09 0 [] U!=V|member(U,cons(V,W)).
% 7.96/8.09 0 [] -member(U,V)|member(U,W)|member(U,diff(V,W)).
% 7.96/8.09 0 [] -member(U,V)| -member(U,W)|member(U,int(V,W)).
% 7.96/8.09 0 [] -member(U,V)|member(U,un(W,V)).
% 7.96/8.09 0 [] -member(U,V)|member(U,un(V,W)).
% 7.96/8.09 0 [] member(powI_sk1(U,V),U)|member(U,pow(V)).
% 7.96/8.09 0 [] -member(powI_sk1(U,V),V)|member(U,pow(V)).
% 7.96/8.09 0 [] -member(U,V)|member(interI_sk1(W,V),V)|member(W,inter(V)).
% 7.96/8.09 0 [] -member(U,interI_sk1(U,V))| -member(W,V)|member(U,inter(V)).
% 7.96/8.09 0 [] member(card_Union_sk1(U),U)|card(union(U)).
% 7.96/8.09 0 [] -card(card_Union_sk1(U))|card(union(U)).
% 7.96/8.09 0 [] -member(U,fin(V))|member(int(U,W),fin(V)).
% 7.96/8.09 0 [] -member(U,fin(V))|member(int(W,U),fin(V)).
% 7.96/8.09 0 [] member(order_Inter_sk1(U),U)|ord(inter(U)).
% 7.96/8.09 0 [] -ord(order_Inter_sk1(U))|ord(inter(U)).
% 7.96/8.09 0 [] member(order_Union_sk1(U),U)|ord(union(U)).
% 7.96/8.09 0 [] -ord(order_Union_sk1(U))|ord(union(U)).
% 7.96/8.09 0 [] -ord(U)| -ord(V)|ord(un(U,V)).
% 7.96/8.09 0 [] -member(pair(U,V),W)| -member(pair(V,X),Y)|member(pair(U,X),comp(Y,W)).
% 7.96/8.09 0 [] -member(pair(U,V),W)| -member(V,X)|member(U,vimage(W,X)).
% 7.96/8.09 0 [] -member(pair(U,V),W)| -member(U,X)|member(V,image(W,X)).
% 7.96/8.09 0 [] qInr(U)!=qInl(V).
% 7.96/8.09 0 [] qInl(U)!=qInr(V).
% 7.96/8.09 0 [] qInr(U)!=qInr(V)|U=V.
% 7.96/8.09 0 [] qInl(U)!=qInl(V)|U=V.
% 7.96/8.09 0 [] -member(U,qsum(V,W))|member(qsumE_sk1(U,V,W),V)|member(qsumE_sk2(U,V,W),W).
% 7.96/8.09 0 [] -member(U,qsum(V,W))|member(qsumE_sk1(U,V,W),V)|U=qInr(qsumE_sk2(U,V,W)).
% 7.96/8.09 0 [] -member(U,qsum(V,W))|U=qInl(qsumE_sk1(U,V,W))|member(qsumE_sk2(U,V,W),W).
% 7.96/8.09 0 [] -member(U,qsum(V,W))|U=qInl(qsumE_sk1(U,V,W))|U=qInr(qsumE_sk2(U,V,W)).
% 7.96/8.09 0 [] -member(U,qconverse(V))|U=qPair(qconverseE_sk2(U,V),qconverseE_sk1(U,V)).
% 7.96/8.09 0 [] -member(U,qconverse(V))|member(qPair(qconverseE_sk1(U,V),qconverseE_sk2(U,V)),V).
% 7.96/8.09 0 [] -member(qPair(U,V),qconverse(W))|member(qPair(V,U),W).
% 7.96/8.09 0 [] qPair(U,V)!=qPair(W,X)|U=W.
% 7.96/8.09 0 [] qPair(U,V)!=qPair(W,X)|V=X.
% 7.96/8.09 0 [] -member(succ(U),nat)|member(U,nat).
% 7.96/8.09 0 [] -member(pair(pair(U,V),pair(W,X)),rmult(Y,Z,X1,X2))|rmultE_c1(U,V,W,X,Y,Z,X1,X2)|rmultE_c2(U,V,W,X,Y,Z,X1,X2).
% 7.96/8.09 0 [] -rmultE_c1(U,V,W,X,Y,Z,X1,X2)|member(pair(U,W),Z).
% 7.96/8.09 0 [] -rmultE_c1(U,V,W,X,Y,Z,X1,X2)|member(U,Y).
% 7.96/8.09 0 [] -rmultE_c1(U,V,W,X,Y,Z,X1,X2)|member(W,Y).
% 7.96/8.09 0 [] -rmultE_c1(U,V,W,X,Y,Z,X1,X2)|member(V,X1).
% 7.96/8.09 0 [] -rmultE_c1(U,V,W,X,Y,Z,X1,X2)|member(X,X1).
% 7.96/8.09 0 [] -rmultE_c2(U,V,W,X,Y,Z,X1,X2)|member(pair(V,X),X2).
% 7.96/8.09 0 [] -rmultE_c2(U,V,W,X,Y,Z,X1,X2)|member(W,Y).
% 7.96/8.09 0 [] -rmultE_c2(U,V,W,X,Y,Z,X1,X2)|U=W.
% 7.96/8.09 0 [] -rmultE_c2(U,V,W,X,Y,Z,X1,X2)|member(V,X1).
% 7.96/8.09 0 [] -rmultE_c2(U,V,W,X,Y,Z,X1,X2)|member(X,X1).
% 7.96/8.09 0 [] -member(pair(inr(U),inl(V)),radd(W,X,Y,Z)).
% 7.96/8.09 0 [] -member(pair(inr(U),inr(V)),radd(W,X,Y,Z))|member(U,Y).
% 7.96/8.09 0 [] -member(pair(inr(U),inr(V)),radd(W,X,Y,Z))|member(V,Y).
% 7.96/8.09 0 [] -member(pair(inr(U),inr(V)),radd(W,X,Y,Z))|member(pair(U,V),Z).
% 7.96/8.09 0 [] -member(pair(inl(U),inl(V)),radd(W,X,Y,Z))|member(U,W).
% 7.96/8.09 0 [] -member(pair(inl(U),inl(V)),radd(W,X,Y,Z))|member(V,W).
% 7.96/8.09 0 [] -member(pair(inl(U),inl(V)),radd(W,X,Y,Z))|member(pair(U,V),X).
% 7.96/8.09 0 [] -member(pair(inl(U),inr(V)),radd(W,X,Y,Z))|member(U,W).
% 7.96/8.09 0 [] -member(pair(inl(U),inr(V)),radd(W,X,Y,Z))|member(V,Y).
% 7.96/8.09 0 [] -le(succ(U),V)|lt(U,V).
% 7.96/8.09 0 [] -le(eptset,succ(U))|ord(U).
% 7.96/8.09 0 [] -member(pair(U,V),memrel(W))|member(U,W).
% 7.96/8.09 0 [] -member(pair(U,V),memrel(W))|member(V,W).
% 7.96/8.09 0 [] -member(pair(U,V),memrel(W))|member(U,V).
% 7.96/8.09 0 [] -le(U,eptset)|U=eptset.
% 7.96/8.09 0 [] -le(U,U)|ord(U).
% 7.96/8.09 0 [] -ord(succ(U))|ord(U).
% 7.96/8.09 0 [] -member(U,comp(V,W))|U=pair(compE_sk1(U,V,W),compE_sk3(U,V,W)).
% 7.96/8.09 0 [] -member(U,comp(V,W))|member(pair(compE_sk1(U,V,W),compE_sk2(U,V,W)),W).
% 7.96/8.09 0 [] -member(U,comp(V,W))|member(pair(compE_sk2(U,V,W),compE_sk3(U,V,W)),V).
% 7.96/8.09 0 [] -member(U,id(V))|member(idE_sk1(U,V),V).
% 7.96/8.09 0 [] -member(U,id(V))|U=pair(idE_sk1(U,V),idE_sk1(U,V)).
% 7.96/8.09 0 [] inr(U)!=inl(V).
% 7.96/8.09 0 [] inl(U)!=inr(V).
% 7.96/8.09 0 [] inr(U)!=inr(V)|U=V.
% 7.96/8.09 0 [] inl(U)!=inl(V)|U=V.
% 7.96/8.09 0 [] -member(U,disjsum(V,W))|member(sumE_sk1(U,V,W),V)|member(sumE_sk2(U,V,W),W).
% 7.96/8.09 0 [] -member(U,disjsum(V,W))|member(sumE_sk1(U,V,W),V)|U=inr(sumE_sk2(U,V,W)).
% 7.96/8.09 0 [] -member(U,disjsum(V,W))|U=inl(sumE_sk1(U,V,W))|member(sumE_sk2(U,V,W),W).
% 7.96/8.09 0 [] -member(U,disjsum(V,W))|U=inl(sumE_sk1(U,V,W))|U=inr(sumE_sk2(U,V,W)).
% 7.96/8.09 0 [] -member(U,vimage(V,W))|member(pair(U,vimageE_sk1(U,V,W)),V).
% 7.96/8.09 0 [] -member(U,vimage(V,W))|member(vimageE_sk1(U,V,W),W).
% 7.96/8.09 0 [] -member(U,image(V,W))|member(pair(imageE_sk1(U,V,W),U),V).
% 7.96/8.09 0 [] -member(U,image(V,W))|member(imageE_sk1(U,V,W),W).
% 7.96/8.09 0 [] -member(U,field(V))|member(pair(U,fieldE_sk1(U,V)),V)|member(pair(fieldE_sk2(U,V),U),V).
% 7.96/8.09 0 [] -member(U,range(V))|member(pair(rangeE_sk1(U,V),U),V).
% 7.96/8.09 0 [] -member(U,domain(V))|member(pair(U,domainE_sk1(U,V)),V).
% 7.96/8.09 0 [] member(cons_subsetE_sk1(U,V,W),cons(U,V))|member(U,W).
% 7.96/8.09 0 [] -member(cons_subsetE_sk1(U,V,W),W)|member(U,W).
% 7.96/8.09 0 [] -member(U,V)|member(cons_subsetE_sk1(W,V,X),cons(W,V))|member(U,X).
% 7.96/8.09 0 [] -member(cons_subsetE_sk1(U,V,W),W)| -member(X,V)|member(X,W).
% 7.96/8.09 0 [] -subset(cons(A,B),C)|member(A,C).
% 7.96/8.09 0 [] -subset(cons(A,B),C)|subset(B,C).
% 7.96/8.09 0 [] -member(U,converse(V))|U=pair(converseE_sk2(U,V),converseE_sk1(U,V)).
% 7.96/8.09 0 [] -member(U,converse(V))|member(pair(converseE_sk1(U,V),converseE_sk2(U,V)),V).
% 7.96/8.09 0 [] -member(pair(U,V),converse(W))|member(pair(V,U),W).
% 7.96/8.09 0 [] pair(U,V)!=pair(W,X)|U=W.
% 7.96/8.09 0 [] pair(U,V)!=pair(W,X)|V=X.
% 7.96/8.09 0 [] cons(U,eptset)!=cons(V,eptset)|U=V.
% 7.96/8.09 0 [] succ(U)!=succ(V)|U=V.
% 7.96/8.09 0 [] -member(U,succ(V))|U=V|member(U,V).
% 7.96/8.09 0 [] -member(U,cons(V,eptset))|U=V.
% 7.96/8.09 0 [] -member(U,cons(V,W))|U=V|member(U,W).
% 7.96/8.09 0 [] -member(U,diff(V,W))|member(U,V).
% 7.96/8.09 0 [] -member(U,diff(V,W))| -member(U,W).
% 7.96/8.09 0 [] -member(U,int(V,W))|member(U,V).
% 7.96/8.09 0 [] -member(U,int(V,W))|member(U,W).
% 7.96/8.09 0 [] -member(U,un(V,W))|member(U,V)|member(U,W).
% 7.96/8.09 0 [] -member(U,pow(V))| -member(W,U)|member(W,V).
% 7.96/8.09 0 [] -member(U,union(V))|member(U,unionE_sk1(U,V)).
% 7.96/8.09 0 [] -member(U,union(V))|member(unionE_sk1(U,V),V).
% 7.96/8.09 0 [] U!=eptset| -member(V,U).
% 7.96/8.09 0 [] -member(U,inter(V))| -member(W,V)|member(U,W).
% 7.96/8.09 0 [] -member(U,V)|member(subsetD_sk1(V,W,U),V)|member(U,W).
% 7.96/8.09 0 [] -member(subsetD_sk1(U,V,W),V)| -member(W,U)|member(W,V).
% 7.96/8.09 0 [] -subset(A,B)| -member(C,A)|member(C,B).
% 7.96/8.09 0 [] -member(pair(C,A),R)|member(A,field(R)).
% 7.96/8.09 0 [] -member(pair(A,B),R)|member(A,field(R)).
% 7.96/8.09 0 [] pair(A,B)!=eptset.
% 7.96/8.09 0 [] pair(A,B)!=A.
% 7.96/8.09 0 [] pair(A,B)!=B.
% 7.96/8.09 0 [] member(subsetI_sk1(A,B),A)|subset(A,B).
% 7.96/8.09 0 [] -member(subsetI_sk1(A,B),B)|subset(A,B).
% 7.96/8.09 0 [] subset(A,A).
% 7.96/8.09 0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 7.96/8.09 0 [] -member(X,eptset)|member(X,A).
% 7.96/8.09 0 [] subset(eptset,A).
% 7.96/8.09 0 [] -subset(A,B)| -subset(B,A)|A=B.
% 7.96/8.09 0 [] A!=B|subset(A,B).
% 7.96/8.09 0 [] A!=B|subset(B,A).
% 7.96/8.09 0 [] combK!=combS.
% 7.96/8.09 0 [] combK!=comb_app(P,Q).
% 7.96/8.09 0 [] combS!=comb_app(P,Q).
% 7.96/8.09 0 [] comb_app(P1,Q1)!=comb_app(P2,Q2)|P1=P2.
% 7.96/8.09 0 [] comb_app(P1,Q1)!=comb_app(P2,Q2)|Q1=Q2.
% 7.96/8.09 0 [] P1!=P2|Q1!=Q2|comb_app(P1,Q1)=comb_app(P2,Q2).
% 7.96/8.09 0 [] -member(comb_app(P,Q),comb)|member(P,comb).
% 7.96/8.09 0 [] -member(comb_app(P,Q),comb)|member(Q,comb).
% 7.96/8.09 0 [] member(combK,comb).
% 7.96/8.09 0 [] member(combS,comb).
% 7.96/8.09 0 [] -member(P,comb)| -member(Q,comb)|member(comb_app(P,Q),comb).
% 7.96/8.09 0 [] -member(A,comb)|member(pair(A,A),rtrancl(contract)).
% 7.96/8.09 0 [] -member(P,comb)| -member(Q,comb)|member(pair(comb_app(comb_app(combK,P),Q),P),contract).
% 7.96/8.09 0 [] -member(P,comb)| -member(Q,comb)| -member(R,comb)|member(pair(comb_app(comb_app(comb_app(combS,P),Q),R),comb_app(comb_app(P,R),comb_app(Q,R))),contract).
% 7.96/8.09 0 [] -member(pair(comb_app(P,Q),R),contract)|ap_contractE_c1(P,Q,R)|ap_contractE_c2(P,Q,R)|ap_contractE_c3(P,Q,R)|ap_contractE_c4(P,Q,R).
% 7.96/8.09 0 [] -ap_contractE_c1(P,Q,R)|member(R,comb).
% 7.96/8.09 0 [] -ap_contractE_c1(P,Q,R)|member(Q,comb).
% 7.96/8.09 0 [] -ap_contractE_c1(P,Q,R)|P=comb_app(combK,R).
% 7.96/8.09 0 [] -ap_contractE_c2(P,Q,R)|member(ap_contractE_sk1p(P,Q,R),comb).
% 7.96/8.09 0 [] -ap_contractE_c2(P,Q,R)|member(ap_contractE_sk1q(P,Q,R),comb).
% 7.96/8.09 0 [] -ap_contractE_c2(P,Q,R)|member(Q,comb).
% 7.96/8.09 0 [] -ap_contractE_c2(P,Q,R)|R=comb_app(comb_app(ap_contractE_sk1p(P,Q,R),Q),comb_app(ap_contractE_sk1q(P,Q,R),Q)).
% 7.96/8.09 0 [] -ap_contractE_c2(P,Q,R)|P=comb_app(comb_app(combS,ap_contractE_sk1p(P,Q,R)),ap_contractE_sk1q(P,Q,R)).
% 7.96/8.09 0 [] -ap_contractE_c3(P,Q,R)|member(pair(P,ap_contractE_sk2q(P,Q,R)),contract).
% 7.96/8.09 0 [] -ap_contractE_c3(P,Q,R)|member(Q,comb).
% 7.96/8.09 0 [] -ap_contractE_c3(P,Q,R)|R=comb_app(ap_contractE_sk2q(P,Q,R),Q).
% 7.96/8.09 0 [] -ap_contractE_c4(P,Q,R)|member(pair(Q,ap_contractE_sk3q(P,Q,R)),contract).
% 7.96/8.09 0 [] -ap_contractE_c4(P,Q,R)|member(P,comb).
% 7.96/8.09 0 [] -ap_contractE_c4(P,Q,R)|R=comb_app(P,ap_contractE_sk3q(P,Q,R)).
% 7.96/8.09 0 [] -member(pair(combK,R),contract).
% 7.96/8.09 0 [] -member(pair(combS,R),contract).
% 7.96/8.09 0 [] -member(P,comb)|member(pair(P,P),parcontract).
% 7.96/8.09 0 [] -member(P,comb)| -member(Q,comb)|member(pair(comb_app(comb_app(combK,P),Q),P),parcontract).
% 7.96/8.09 0 [] -member(P,comb)| -member(Q,comb)| -member(R,comb)|member(pair(comb_app(comb_app(comb_app(combS,P),Q),R),comb_app(comb_app(P,R),comb_app(Q,R))),parcontract).
% 7.96/8.09 0 [] -member(pair(P,Q),parcontract)| -member(pair(R,S),parcontract)|member(pair(comb_app(P,R),comb_app(Q,S)),parcontract).
% 7.96/8.09 0 [] -member(pair(combK,R),parcontract)|member(combK,comb).
% 7.96/8.09 0 [] -member(pair(combK,R),parcontract)|R=combK.
% 7.96/8.09 0 [] -member(pair(combS,R),parcontract)|member(combS,comb).
% 7.96/8.09 0 [] -member(pair(combS,R),parcontract)|R=combS.
% 7.96/8.09 0 [] -member(pair(comb_app(P,Q),R),parcontract)|ap_parcontractE_c1(P,Q,R)|ap_parcontractE_c2(P,Q,R)|ap_parcontractE_c3(P,Q,R)|ap_parcontractE_c4(P,Q,R).
% 7.96/8.09 0 [] -ap_parcontractE_c1(P,Q,R)|member(comb_app(P,Q),comb).
% 7.96/8.09 0 [] -ap_parcontractE_c1(P,Q,R)|R=comb_app(P,Q).
% 7.96/8.09 0 [] -ap_parcontractE_c2(P,Q,R)|member(R,comb).
% 7.96/8.09 0 [] -ap_parcontractE_c2(P,Q,R)|member(Q,comb).
% 7.96/8.09 0 [] -ap_parcontractE_c2(P,Q,R)|P=comb_app(combK,R).
% 7.96/8.09 0 [] -ap_parcontractE_c3(P,Q,R)|member(ap_parcontractE_sk1p(P,Q,R),comb).
% 7.96/8.09 0 [] -ap_parcontractE_c3(P,Q,R)|member(ap_parcontractE_sk1q(P,Q,R),comb).
% 7.96/8.09 0 [] -ap_parcontractE_c3(P,Q,R)|member(Q,comb).
% 7.96/8.09 0 [] -ap_parcontractE_c3(P,Q,R)|R=comb_app(comb_app(ap_parcontractE_sk1p(P,Q,R),Q),comb_app(ap_parcontractE_sk1q(P,Q,R),Q)).
% 7.96/8.09 0 [] -ap_parcontractE_c3(P,Q,R)|P=comb_app(comb_app(combS,ap_parcontractE_sk1p(P,Q,R)),ap_parcontractE_sk1q(P,Q,R)).
% 7.96/8.09 0 [] -ap_parcontractE_c4(P,Q,R)|member(pair(P,ap_parcontractE_sk2q(P,Q,R)),parcontract).
% 7.96/8.09 0 [] -ap_parcontractE_c4(P,Q,R)|member(pair(Q,ap_parcontractE_sk2s(P,Q,R)),parcontract).
% 7.96/8.09 0 [] -ap_parcontractE_c4(P,Q,R)|R=comb_app(ap_parcontractE_sk2q(P,Q,R),ap_parcontractE_sk2s(P,Q,R)).
% 7.96/8.09 0 [] -member(pair(comb_app(combK,P),R),parcontract)|R=comb_app(combK,k1_parcontractD_sk1(P,R)).
% 7.96/8.09 0 [] -member(pair(comb_app(combK,P),R),parcontract)|member(pair(P,k1_parcontractD_sk1(P,R)),parcontract).
% 7.96/8.09 0 [] -member(pair(comb_app(combS,P),R),parcontract)|R=comb_app(combS,s1_parcontractD_sk1(P,R)).
% 7.96/8.09 0 [] -member(pair(comb_app(combS,P),R),parcontract)|member(pair(P,s1_parcontractD_sk1(P,R)),parcontract).
% 7.96/8.09 0 [] -member(pair(comb_app(comb_app(combS,P),Q),R),parcontract)|R=comb_app(comb_app(combS,s2_parcontractD_sk1p(P,Q,R)),s2_parcontractD_sk1q(P,Q,R)).
% 7.96/8.09 0 [] -member(pair(comb_app(comb_app(combS,P),Q),R),parcontract)|member(pair(P,s2_parcontractD_sk1p(P,Q,R)),parcontract).
% 7.96/8.09 0 [] -member(pair(comb_app(comb_app(combS,P),Q),R),parcontract)|member(pair(Q,s2_parcontractD_sk1q(P,Q,R)),parcontract).
% 7.96/8.09 0 [] combK!=C|C=inl(eptset).
% 7.96/8.09 0 [] combS!=C|C=inr(inl(eptset)).
% 7.96/8.09 0 [] comb_app(P,Q)!=C|C=inr(inr(pair(P,Q))).
% 7.96/8.09 0 [] -member(pair(A,B),parcontract)|member(B,comb).
% 7.96/8.09 0 [] member(p,comb).
% 7.96/8.09 0 [] member(q,comb).
% 7.96/8.09 0 [] member(pair(comb_app(comb_app(combK,p),q),yp),parcontract).
% 7.96/8.09 0 [] -member(pair(p,Z),parcontract)| -member(pair(yp,Z),parcontract).
% 7.96/8.09 end_of_list.
% 7.96/8.09
% 7.96/8.09 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 7.96/8.09
% 7.96/8.09 This ia a non-Horn set with equality. The strategy will be
% 7.96/8.09 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 7.96/8.09 deletion, with positive clauses in sos and nonpositive
% 7.96/8.09 clauses in usable.
% 7.96/8.09
% 7.96/8.09 dependent: set(knuth_bendix).
% 7.96/8.09 dependent: set(anl_eq).
% 7.96/8.09 dependent: set(para_from).
% 7.96/8.09 dependent: set(para_into).
% 7.96/8.09 dependent: clear(para_from_right).
% 7.96/8.09 dependent: clear(para_into_right).
% 7.96/8.09 dependent: set(para_from_vars).
% 7.96/8.09 dependent: set(eq_units_both_ways).
% 7.96/8.09 dependent: set(dynamic_demod_all).
% 7.96/8.09 dependent: set(dynamic_demod).
% 7.96/8.09 dependent: set(order_eq).
% 7.96/8.09 dependent: set(back_demod).
% 7.96/8.09 dependent: set(lrpo).
% 7.96/8.09 dependent: set(hyper_res).
% 7.96/8.09 dependent: set(unit_deletion).
% 7.96/8.09 dependent: set(factor).
% 7.96/8.09
% 7.96/8.09 ------------> process usable:
% 7.96/8.09 ** KEPT (pick-wt=8): 1 [] -member(A,B)|member(A,cons(C,B)).
% 7.96/8.09 ** KEPT (pick-wt=7): 2 [] -member(A,nat)|member(succ(A),nat).
% 7.96/8.09 ** KEPT (pick-wt=8): 3 [] A!=B|inr(A)=inr(B).
% 7.96/8.09 ** KEPT (pick-wt=8): 4 [] A!=B|inl(A)=inl(B).
% 7.96/8.09 ** KEPT (pick-wt=9): 5 [] -member(A,B)|member(inl(A),disjsum(B,C)).
% 7.96/8.09 ** KEPT (pick-wt=9): 6 [] -member(A,B)|member(inr(A),disjsum(C,B)).
% 7.96/8.09 ** KEPT (pick-wt=17): 7 [] -member(A,B)| -member(C,cons(A,D))|member(cons_subsetI_sk1(A,D,B),D)|member(C,B).
% 7.96/8.09 ** KEPT (pick-wt=17): 8 [] -member(A,B)| -member(cons_subsetI_sk1(A,C,B),B)| -member(D,cons(A,C))|member(D,B).
% 7.96/8.09 ** KEPT (pick-wt=11): 9 [] -member(A,B)| -subset(C,B)|subset(cons(A,C),B).
% 7.96/8.09 ** KEPT (pick-wt=11): 10 [] -member(pair(A,B),C)|member(pair(B,A),converse(C)).
% 7.96/8.09 ** KEPT (pick-wt=10): 11 [] A!=B|cons(A,eptset)=cons(B,eptset).
% 7.96/8.09 ** KEPT (pick-wt=7): 12 [] -member(A,B)|member(A,succ(B)).
% 7.96/8.09 ** KEPT (pick-wt=7): 13 [] A!=B|member(A,succ(B)).
% 7.96/8.09 Following clause subsumed by 1 during input processing: 0 [] -member(A,B)|member(A,cons(C,B)).
% 7.96/8.09 ** KEPT (pick-wt=8): 14 [] A!=B|member(A,cons(B,C)).
% 7.96/8.09 ** KEPT (pick-wt=11): 15 [] -member(A,B)|member(A,C)|member(A,diff(B,C)).
% 7.96/8.09 ** KEPT (pick-wt=11): 16 [] -member(A,B)| -member(A,C)|member(A,int(B,C)).
% 7.96/8.09 ** KEPT (pick-wt=8): 17 [] -member(A,B)|member(A,un(C,B)).
% 7.96/8.09 ** KEPT (pick-wt=8): 18 [] -member(A,B)|member(A,un(B,C)).
% 7.96/8.09 ** KEPT (pick-wt=9): 19 [] -member(powI_sk1(A,B),B)|member(A,pow(B)).
% 7.96/8.09 ** KEPT (pick-wt=12): 20 [] -member(A,B)|member(interI_sk1(C,B),B)|member(C,inter(B)).
% 7.96/8.09 ** KEPT (pick-wt=12): 21 [] -member(A,interI_sk1(A,B))| -member(C,B)|member(A,inter(B)).
% 7.96/8.09 ** KEPT (pick-wt=6): 22 [] -card(card_Union_sk1(A))|card(union(A)).
% 7.96/8.09 ** KEPT (pick-wt=10): 23 [] -member(A,fin(B))|member(int(A,C),fin(B)).
% 7.96/8.09 ** KEPT (pick-wt=10): 24 [] -member(A,fin(B))|member(int(C,A),fin(B)).
% 7.96/8.09 ** KEPT (pick-wt=6): 25 [] -ord(order_Inter_sk1(A))|ord(inter(A)).
% 7.96/8.09 ** KEPT (pick-wt=6): 26 [] -ord(order_Union_sk1(A))|ord(union(A)).
% 7.96/8.09 ** KEPT (pick-wt=8): 27 [] -ord(A)| -ord(B)|ord(un(A,B)).
% 7.96/8.09 ** KEPT (pick-wt=17): 28 [] -member(pair(A,B),C)| -member(pair(B,D),E)|member(pair(A,D),comp(E,C)).
% 7.96/8.09 ** KEPT (pick-wt=13): 29 [] -member(pair(A,B),C)| -member(B,D)|member(A,vimage(C,D)).
% 7.96/8.09 ** KEPT (pick-wt=13): 30 [] -member(pair(A,B),C)| -member(A,D)|member(B,image(C,D)).
% 7.96/8.09 ** KEPT (pick-wt=5): 31 [] qInr(A)!=qInl(B).
% 7.96/8.09 ** KEPT (pick-wt=5): 32 [] qInl(A)!=qInr(B).
% 7.96/8.09 ** KEPT (pick-wt=8): 33 [] qInr(A)!=qInr(B)|A=B.
% 7.96/8.09 ** KEPT (pick-wt=8): 34 [] qInl(A)!=qInl(B)|A=B.
% 7.96/8.09 ** KEPT (pick-wt=17): 35 [] -member(A,qsum(B,C))|member(qsumE_sk1(A,B,C),B)|member(qsumE_sk2(A,B,C),C).
% 7.96/8.09 ** KEPT (pick-wt=18): 37 [copy,36,flip.3] -member(A,qsum(B,C))|member(qsumE_sk1(A,B,C),B)|qInr(qsumE_sk2(A,B,C))=A.
% 7.96/8.09 ** KEPT (pick-wt=18): 39 [copy,38,flip.2] -member(A,qsum(B,C))|qInl(qsumE_sk1(A,B,C))=A|member(qsumE_sk2(A,B,C),C).
% 7.96/8.09 ** KEPT (pick-wt=19): 41 [copy,40,flip.2,flip.3] -member(A,qsum(B,C))|qInl(qsumE_sk1(A,B,C))=A|qInr(qsumE_sk2(A,B,C))=A.
% 7.96/8.09 ** KEPT (pick-wt=13): 43 [copy,42,flip.2] -member(A,qconverse(B))|qPair(qconverseE_sk2(A,B),qconverseE_sk1(A,B))=A.
% 7.96/8.09 ** KEPT (pick-wt=13): 44 [] -member(A,qconverse(B))|member(qPair(qconverseE_sk1(A,B),qconverseE_sk2(A,B)),B).
% 7.96/8.09 ** KEPT (pick-wt=11): 45 [] -member(qPair(A,B),qconverse(C))|member(qPair(B,A),C).
% 7.96/8.10 ** KEPT (pick-wt=10): 46 [] qPair(A,B)!=qPair(C,D)|A=C.
% 7.96/8.10 ** KEPT (pick-wt=10): 47 [] qPair(A,B)!=qPair(C,D)|B=D.
% 7.96/8.10 ** KEPT (pick-wt=7): 48 [] -member(succ(A),nat)|member(A,nat).
% 7.96/8.10 ** KEPT (pick-wt=31): 49 [] -member(pair(pair(A,B),pair(C,D)),rmult(E,F,G,H))|rmultE_c1(A,B,C,D,E,F,G,H)|rmultE_c2(A,B,C,D,E,F,G,H).
% 7.96/8.10 ** KEPT (pick-wt=14): 50 [] -rmultE_c1(A,B,C,D,E,F,G,H)|member(pair(A,C),F).
% 7.96/8.10 ** KEPT (pick-wt=12): 51 [] -rmultE_c1(A,B,C,D,E,F,G,H)|member(A,E).
% 7.96/8.10 ** KEPT (pick-wt=12): 52 [] -rmultE_c1(A,B,C,D,E,F,G,H)|member(C,E).
% 7.96/8.10 ** KEPT (pick-wt=12): 53 [] -rmultE_c1(A,B,C,D,E,F,G,H)|member(B,G).
% 7.96/8.10 ** KEPT (pick-wt=12): 54 [] -rmultE_c1(A,B,C,D,E,F,G,H)|member(D,G).
% 7.96/8.10 ** KEPT (pick-wt=14): 55 [] -rmultE_c2(A,B,C,D,E,F,G,H)|member(pair(B,D),H).
% 7.96/8.10 ** KEPT (pick-wt=12): 56 [] -rmultE_c2(A,B,C,D,E,F,G,H)|member(C,E).
% 7.96/8.10 ** KEPT (pick-wt=12): 57 [] -rmultE_c2(A,B,C,D,E,F,G,H)|A=C.
% 7.96/8.10 ** KEPT (pick-wt=12): 58 [] -rmultE_c2(A,B,C,D,E,F,G,H)|member(B,G).
% 7.96/8.10 ** KEPT (pick-wt=12): 59 [] -rmultE_c2(A,B,C,D,E,F,G,H)|member(D,G).
% 7.96/8.10 ** KEPT (pick-wt=11): 60 [] -member(pair(inr(A),inl(B)),radd(C,D,E,F)).
% 7.96/8.10 ** KEPT (pick-wt=14): 61 [] -member(pair(inr(A),inr(B)),radd(C,D,E,F))|member(A,E).
% 7.96/8.10 ** KEPT (pick-wt=14): 62 [] -member(pair(inr(A),inr(B)),radd(C,D,E,F))|member(B,E).
% 7.96/8.10 ** KEPT (pick-wt=16): 63 [] -member(pair(inr(A),inr(B)),radd(C,D,E,F))|member(pair(A,B),F).
% 7.96/8.10 ** KEPT (pick-wt=14): 64 [] -member(pair(inl(A),inl(B)),radd(C,D,E,F))|member(A,C).
% 7.96/8.10 ** KEPT (pick-wt=14): 65 [] -member(pair(inl(A),inl(B)),radd(C,D,E,F))|member(B,C).
% 7.96/8.10 ** KEPT (pick-wt=16): 66 [] -member(pair(inl(A),inl(B)),radd(C,D,E,F))|member(pair(A,B),D).
% 7.96/8.10 ** KEPT (pick-wt=14): 67 [] -member(pair(inl(A),inr(B)),radd(C,D,E,F))|member(A,C).
% 7.96/8.10 ** KEPT (pick-wt=14): 68 [] -member(pair(inl(A),inr(B)),radd(C,D,E,F))|member(B,E).
% 7.96/8.10 ** KEPT (pick-wt=7): 69 [] -le(succ(A),B)|lt(A,B).
% 7.96/8.10 ** KEPT (pick-wt=6): 70 [] -le(eptset,succ(A))|ord(A).
% 7.96/8.10 ** KEPT (pick-wt=9): 71 [] -member(pair(A,B),memrel(C))|member(A,C).
% 7.96/8.10 ** KEPT (pick-wt=9): 72 [] -member(pair(A,B),memrel(C))|member(B,C).
% 7.96/8.10 ** KEPT (pick-wt=9): 73 [] -member(pair(A,B),memrel(C))|member(A,B).
% 7.96/8.10 ** KEPT (pick-wt=6): 74 [] -le(A,eptset)|A=eptset.
% 7.96/8.10 ** KEPT (pick-wt=5): 75 [] -le(A,A)|ord(A).
% 7.96/8.10 ** KEPT (pick-wt=5): 76 [] -ord(succ(A))|ord(A).
% 7.96/8.10 ** KEPT (pick-wt=16): 78 [copy,77,flip.2] -member(A,comp(B,C))|pair(compE_sk1(A,B,C),compE_sk3(A,B,C))=A.
% 7.96/8.10 ** KEPT (pick-wt=16): 79 [] -member(A,comp(B,C))|member(pair(compE_sk1(A,B,C),compE_sk2(A,B,C)),C).
% 7.96/8.10 ** KEPT (pick-wt=16): 80 [] -member(A,comp(B,C))|member(pair(compE_sk2(A,B,C),compE_sk3(A,B,C)),B).
% 7.96/8.10 ** KEPT (pick-wt=9): 81 [] -member(A,id(B))|member(idE_sk1(A,B),B).
% 7.96/8.10 ** KEPT (pick-wt=13): 83 [copy,82,flip.2] -member(A,id(B))|pair(idE_sk1(A,B),idE_sk1(A,B))=A.
% 7.96/8.10 ** KEPT (pick-wt=5): 84 [] inr(A)!=inl(B).
% 7.96/8.10 ** KEPT (pick-wt=5): 85 [] inl(A)!=inr(B).
% 7.96/8.10 ** KEPT (pick-wt=8): 86 [] inr(A)!=inr(B)|A=B.
% 7.96/8.10 ** KEPT (pick-wt=8): 87 [] inl(A)!=inl(B)|A=B.
% 7.96/8.10 ** KEPT (pick-wt=17): 88 [] -member(A,disjsum(B,C))|member(sumE_sk1(A,B,C),B)|member(sumE_sk2(A,B,C),C).
% 7.96/8.10 ** KEPT (pick-wt=18): 90 [copy,89,flip.3] -member(A,disjsum(B,C))|member(sumE_sk1(A,B,C),B)|inr(sumE_sk2(A,B,C))=A.
% 7.96/8.10 ** KEPT (pick-wt=18): 92 [copy,91,flip.2] -member(A,disjsum(B,C))|inl(sumE_sk1(A,B,C))=A|member(sumE_sk2(A,B,C),C).
% 7.96/8.10 ** KEPT (pick-wt=19): 94 [copy,93,flip.2,flip.3] -member(A,disjsum(B,C))|inl(sumE_sk1(A,B,C))=A|inr(sumE_sk2(A,B,C))=A.
% 7.96/8.10 ** KEPT (pick-wt=13): 95 [] -member(A,vimage(B,C))|member(pair(A,vimageE_sk1(A,B,C)),B).
% 7.96/8.10 ** KEPT (pick-wt=11): 96 [] -member(A,vimage(B,C))|member(vimageE_sk1(A,B,C),C).
% 7.96/8.10 ** KEPT (pick-wt=13): 97 [] -member(A,image(B,C))|member(pair(imageE_sk1(A,B,C),A),B).
% 7.96/8.10 ** KEPT (pick-wt=11): 98 [] -member(A,image(B,C))|member(imageE_sk1(A,B,C),C).
% 7.96/8.10 ** KEPT (pick-wt=18): 99 [] -member(A,field(B))|member(pair(A,fieldE_sk1(A,B)),B)|member(pair(fieldE_sk2(A,B),A),B).
% 7.96/8.10 ** KEPT (pick-wt=11): 100 [] -member(A,range(B))|member(pair(rangeE_sk1(A,B),A),B).
% 7.96/8.10 ** KEPT (pick-wt=11): 101 [] -member(A,domain(B))|member(pair(A,domainE_sk1(A,B)),B).
% 7.96/8.10 ** KEPT (pick-wt=9): 102 [] -member(cons_subsetE_sk1(A,B,C),C)|member(A,C).
% 7.96/8.10 ** KEPT (pick-wt=14): 103 [] -member(A,B)|member(cons_subsetE_sk1(C,B,D),cons(C,B))|member(A,D).
% 7.96/8.10 ** KEPT (pick-wt=12): 104 [] -member(cons_subsetE_sk1(A,B,C),C)| -member(D,B)|member(D,C).
% 7.96/8.10 ** KEPT (pick-wt=8): 105 [] -subset(cons(A,B),C)|member(A,C).
% 7.96/8.10 ** KEPT (pick-wt=8): 106 [] -subset(cons(A,B),C)|subset(B,C).
% 7.96/8.10 ** KEPT (pick-wt=13): 108 [copy,107,flip.2] -member(A,converse(B))|pair(converseE_sk2(A,B),converseE_sk1(A,B))=A.
% 7.96/8.10 ** KEPT (pick-wt=13): 109 [] -member(A,converse(B))|member(pair(converseE_sk1(A,B),converseE_sk2(A,B)),B).
% 7.96/8.10 ** KEPT (pick-wt=11): 110 [] -member(pair(A,B),converse(C))|member(pair(B,A),C).
% 7.96/8.10 ** KEPT (pick-wt=10): 111 [] pair(A,B)!=pair(C,D)|A=C.
% 7.96/8.10 ** KEPT (pick-wt=10): 112 [] pair(A,B)!=pair(C,D)|B=D.
% 7.96/8.10 ** KEPT (pick-wt=10): 113 [] cons(A,eptset)!=cons(B,eptset)|A=B.
% 7.96/8.10 ** KEPT (pick-wt=8): 114 [] succ(A)!=succ(B)|A=B.
% 7.96/8.10 ** KEPT (pick-wt=10): 115 [] -member(A,succ(B))|A=B|member(A,B).
% 7.96/8.10 ** KEPT (pick-wt=8): 116 [] -member(A,cons(B,eptset))|A=B.
% 7.96/8.10 ** KEPT (pick-wt=11): 117 [] -member(A,cons(B,C))|A=B|member(A,C).
% 7.96/8.10 ** KEPT (pick-wt=8): 118 [] -member(A,diff(B,C))|member(A,B).
% 7.96/8.10 ** KEPT (pick-wt=8): 119 [] -member(A,diff(B,C))| -member(A,C).
% 7.96/8.10 ** KEPT (pick-wt=8): 120 [] -member(A,int(B,C))|member(A,B).
% 7.96/8.10 ** KEPT (pick-wt=8): 121 [] -member(A,int(B,C))|member(A,C).
% 7.96/8.10 ** KEPT (pick-wt=11): 122 [] -member(A,un(B,C))|member(A,B)|member(A,C).
% 7.96/8.10 ** KEPT (pick-wt=10): 123 [] -member(A,pow(B))| -member(C,A)|member(C,B).
% 7.96/8.10 ** KEPT (pick-wt=9): 124 [] -member(A,union(B))|member(A,unionE_sk1(A,B)).
% 7.96/8.10 ** KEPT (pick-wt=9): 125 [] -member(A,union(B))|member(unionE_sk1(A,B),B).
% 7.96/8.10 ** KEPT (pick-wt=6): 126 [] A!=eptset| -member(B,A).
% 7.96/8.10 ** KEPT (pick-wt=10): 127 [] -member(A,inter(B))| -member(C,B)|member(A,C).
% 7.96/8.10 ** KEPT (pick-wt=12): 128 [] -member(A,B)|member(subsetD_sk1(B,C,A),B)|member(A,C).
% 7.96/8.10 ** KEPT (pick-wt=12): 129 [] -member(subsetD_sk1(A,B,C),B)| -member(C,A)|member(C,B).
% 7.96/8.10 ** KEPT (pick-wt=9): 130 [] -subset(A,B)| -member(C,A)|member(C,B).
% 7.96/8.10 ** KEPT (pick-wt=9): 131 [] -member(pair(A,B),C)|member(B,field(C)).
% 7.96/8.10 ** KEPT (pick-wt=9): 132 [] -member(pair(A,B),C)|member(A,field(C)).
% 7.96/8.10 ** KEPT (pick-wt=5): 133 [] pair(A,B)!=eptset.
% 7.96/8.10 ** KEPT (pick-wt=5): 134 [] pair(A,B)!=A.
% 7.96/8.10 ** KEPT (pick-wt=5): 135 [] pair(A,B)!=B.
% 7.96/8.10 ** KEPT (pick-wt=8): 136 [] -member(subsetI_sk1(A,B),B)|subset(A,B).
% 7.96/8.10 ** KEPT (pick-wt=9): 137 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 7.96/8.10 ** KEPT (pick-wt=6): 138 [] -member(A,eptset)|member(A,B).
% 7.96/8.10 ** KEPT (pick-wt=9): 139 [] -subset(A,B)| -subset(B,A)|A=B.
% 7.96/8.10 ** KEPT (pick-wt=6): 140 [] A!=B|subset(A,B).
% 7.96/8.10 ** KEPT (pick-wt=6): 141 [] A!=B|subset(B,A).
% 7.96/8.10 ** KEPT (pick-wt=3): 143 [copy,142,flip.1] combS!=combK.
% 7.96/8.10 ** KEPT (pick-wt=5): 145 [copy,144,flip.1] comb_app(A,B)!=combK.
% 7.96/8.10 ** KEPT (pick-wt=5): 147 [copy,146,flip.1] comb_app(A,B)!=combS.
% 7.96/8.10 ** KEPT (pick-wt=10): 148 [] comb_app(A,B)!=comb_app(C,D)|A=C.
% 7.96/8.10 ** KEPT (pick-wt=10): 149 [] comb_app(A,B)!=comb_app(C,D)|B=D.
% 7.96/8.10 ** KEPT (pick-wt=13): 150 [] A!=B|C!=D|comb_app(A,C)=comb_app(B,D).
% 7.96/8.10 ** KEPT (pick-wt=8): 151 [] -member(comb_app(A,B),comb)|member(A,comb).
% 7.96/8.10 ** KEPT (pick-wt=8): 152 [] -member(comb_app(A,B),comb)|member(B,comb).
% 7.96/8.10 ** KEPT (pick-wt=11): 153 [] -member(A,comb)| -member(B,comb)|member(comb_app(A,B),comb).
% 7.96/8.10 ** KEPT (pick-wt=9): 154 [] -member(A,comb)|member(pair(A,A),rtrancl(contract)).
% 7.96/8.10 ** KEPT (pick-wt=15): 155 [] -member(A,comb)| -member(B,comb)|member(pair(comb_app(comb_app(combK,A),B),A),contract).
% 7.96/8.10 ** KEPT (pick-wt=26): 156 [] -member(A,comb)| -member(B,comb)| -member(C,comb)|member(pair(comb_app(comb_app(comb_app(combS,A),B),C),comb_app(comb_app(A,C),comb_app(B,C))),contract).
% 7.96/8.10 ** KEPT (pick-wt=23): 157 [] -member(pair(comb_app(A,B),C),contract)|ap_contractE_c1(A,B,C)|ap_contractE_c2(A,B,C)|ap_contractE_c3(A,B,C)|ap_contractE_c4(A,B,C).
% 7.96/8.10 ** KEPT (pick-wt=7): 158 [] -ap_contractE_c1(A,B,C)|member(C,comb).
% 7.96/8.10 ** KEPT (pick-wt=7): 159 [] -ap_contractE_c1(A,B,C)|member(B,comb).
% 7.96/8.10 ** KEPT (pick-wt=9): 160 [] -ap_contractE_c1(A,B,C)|A=comb_app(combK,C).
% 7.96/8.10 ** KEPT (pick-wt=10): 161 [] -ap_contractE_c2(A,B,C)|member(ap_contractE_sk1p(A,B,C),comb).
% 7.96/8.10 ** KEPT (pick-wt=10): 162 [] -ap_contractE_c2(A,B,C)|member(ap_contractE_sk1q(A,B,C),comb).
% 7.96/8.10 ** KEPT (pick-wt=7): 163 [] -ap_contractE_c2(A,B,C)|member(B,comb).
% 7.96/8.10 ** KEPT (pick-wt=19): 165 [copy,164,flip.2] -ap_contractE_c2(A,B,C)|comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B))=C.
% 7.96/8.10 ** KEPT (pick-wt=17): 167 [copy,166,flip.2] -ap_contractE_c2(A,B,C)|comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C))=A.
% 7.96/8.10 ** KEPT (pick-wt=12): 168 [] -ap_contractE_c3(A,B,C)|member(pair(A,ap_contractE_sk2q(A,B,C)),contract).
% 7.96/8.10 ** KEPT (pick-wt=7): 169 [] -ap_contractE_c3(A,B,C)|member(B,comb).
% 7.96/8.10 ** KEPT (pick-wt=12): 171 [copy,170,flip.2] -ap_contractE_c3(A,B,C)|comb_app(ap_contractE_sk2q(A,B,C),B)=C.
% 7.96/8.10 ** KEPT (pick-wt=12): 172 [] -ap_contractE_c4(A,B,C)|member(pair(B,ap_contractE_sk3q(A,B,C)),contract).
% 7.96/8.10 ** KEPT (pick-wt=7): 173 [] -ap_contractE_c4(A,B,C)|member(A,comb).
% 7.96/8.10 ** KEPT (pick-wt=12): 175 [copy,174,flip.2] -ap_contractE_c4(A,B,C)|comb_app(A,ap_contractE_sk3q(A,B,C))=C.
% 7.96/8.10 ** KEPT (pick-wt=5): 176 [] -member(pair(combK,A),contract).
% 7.96/8.10 ** KEPT (pick-wt=5): 177 [] -member(pair(combS,A),contract).
% 7.96/8.10 ** KEPT (pick-wt=8): 178 [] -member(A,comb)|member(pair(A,A),parcontract).
% 7.96/8.10 ** KEPT (pick-wt=15): 179 [] -member(A,comb)| -member(B,comb)|member(pair(comb_app(comb_app(combK,A),B),A),parcontract).
% 7.96/8.10 ** KEPT (pick-wt=26): 180 [] -member(A,comb)| -member(B,comb)| -member(C,comb)|member(pair(comb_app(comb_app(comb_app(combS,A),B),C),comb_app(comb_app(A,C),comb_app(B,C))),parcontract).
% 7.96/8.10 ** KEPT (pick-wt=19): 181 [] -member(pair(A,B),parcontract)| -member(pair(C,D),parcontract)|member(pair(comb_app(A,C),comb_app(B,D)),parcontract).
% 7.96/8.10 ** KEPT (pick-wt=8): 182 [] -member(pair(combK,A),parcontract)|member(combK,comb).
% 7.96/8.10 ** KEPT (pick-wt=8): 183 [] -member(pair(combK,A),parcontract)|A=combK.
% 7.96/8.10 ** KEPT (pick-wt=8): 184 [] -member(pair(combS,A),parcontract)|member(combS,comb).
% 7.96/8.10 ** KEPT (pick-wt=8): 185 [] -member(pair(combS,A),parcontract)|A=combS.
% 7.96/8.10 ** KEPT (pick-wt=23): 186 [] -member(pair(comb_app(A,B),C),parcontract)|ap_parcontractE_c1(A,B,C)|ap_parcontractE_c2(A,B,C)|ap_parcontractE_c3(A,B,C)|ap_parcontractE_c4(A,B,C).
% 7.96/8.10 ** KEPT (pick-wt=9): 187 [] -ap_parcontractE_c1(A,B,C)|member(comb_app(A,B),comb).
% 7.96/8.10 ** KEPT (pick-wt=9): 188 [] -ap_parcontractE_c1(A,B,C)|C=comb_app(A,B).
% 7.96/8.10 ** KEPT (pick-wt=7): 189 [] -ap_parcontractE_c2(A,B,C)|member(C,comb).
% 7.96/8.10 ** KEPT (pick-wt=7): 190 [] -ap_parcontractE_c2(A,B,C)|member(B,comb).
% 7.96/8.10 ** KEPT (pick-wt=9): 191 [] -ap_parcontractE_c2(A,B,C)|A=comb_app(combK,C).
% 7.96/8.10 ** KEPT (pick-wt=10): 192 [] -ap_parcontractE_c3(A,B,C)|member(ap_parcontractE_sk1p(A,B,C),comb).
% 7.96/8.10 ** KEPT (pick-wt=10): 193 [] -ap_parcontractE_c3(A,B,C)|member(ap_parcontractE_sk1q(A,B,C),comb).
% 7.96/8.10 ** KEPT (pick-wt=7): 194 [] -ap_parcontractE_c3(A,B,C)|member(B,comb).
% 7.96/8.10 ** KEPT (pick-wt=19): 196 [copy,195,flip.2] -ap_parcontractE_c3(A,B,C)|comb_app(comb_app(ap_parcontractE_sk1p(A,B,C),B),comb_app(ap_parcontractE_sk1q(A,B,C),B))=C.
% 7.96/8.10 ** KEPT (pick-wt=17): 198 [copy,197,flip.2] -ap_parcontractE_c3(A,B,C)|comb_app(comb_app(combS,ap_parcontractE_sk1p(A,B,C)),ap_parcontractE_sk1q(A,B,C))=A.
% 7.96/8.10 ** KEPT (pick-wt=12): 199 [] -ap_parcontractE_c4(A,B,C)|member(pair(A,ap_parcontractE_sk2q(A,B,C)),parcontract).
% 7.96/8.10 ** KEPT (pick-wt=12): 200 [] -ap_parcontractE_c4(A,B,C)|member(pair(B,ap_parcontractE_sk2s(A,B,C)),parcontract).
% 7.96/8.10 ** KEPT (pick-wt=15): 202 [copy,201,flip.2] -ap_parcontractE_c4(A,B,C)|comb_app(ap_parcontractE_sk2q(A,B,C),ap_parcontractE_sk2s(A,B,C))=C.
% 7.96/8.10 ** KEPT (pick-wt=14): 204 [copy,203,flip.2] -member(pair(comb_app(combK,A),B),parcontract)|comb_app(combK,k1_parcontractD_sk1(A,B))=B.
% 7.96/8.10 ** KEPT (pick-wt=14): 205 [] -member(pair(comb_app(combK,A),B),parcontract)|member(pair(A,k1_parcontractD_sk1(A,B)),parcontract).
% 7.96/8.10 ** KEPT (pick-wt=14): 207 [copy,206,flip.2] -member(pair(comb_app(combS,A),B),parcontract)|comb_app(combS,s1_parcontractD_sk1(A,B))=B.
% 7.96/8.10 ** KEPT (pick-wt=14): 208 [] -member(pair(comb_app(combS,A),B),parcontract)|member(pair(A,s1_parcontractD_sk1(A,B)),parcontract).
% 7.96/8.10 ** KEPT (pick-wt=22): 210 [copy,209,flip.2] -member(pair(comb_app(comb_app(combS,A),B),C),parcontract)|comb_app(comb_app(combS,s2_parcontractD_sk1p(A,B,C)),s2_parcontractD_sk1q(A,B,C))=C.
% 8.00/8.13 ** KEPT (pick-wt=17): 211 [] -member(pair(comb_app(comb_app(combS,A),B),C),parcontract)|member(pair(A,s2_parcontractD_sk1p(A,B,C)),parcontract).
% 8.00/8.13 ** KEPT (pick-wt=17): 212 [] -member(pair(comb_app(comb_app(combS,A),B),C),parcontract)|member(pair(B,s2_parcontractD_sk1q(A,B,C)),parcontract).
% 8.00/8.13 ** KEPT (pick-wt=7): 213 [] combK!=A|A=inl(eptset).
% 8.00/8.13 ** KEPT (pick-wt=8): 214 [] combS!=A|A=inr(inl(eptset)).
% 8.00/8.13 ** KEPT (pick-wt=12): 215 [] comb_app(A,B)!=C|C=inr(inr(pair(A,B))).
% 8.00/8.13 ** KEPT (pick-wt=8): 216 [] -member(pair(A,B),parcontract)|member(B,comb).
% 8.00/8.13 ** KEPT (pick-wt=10): 217 [] -member(pair(p,A),parcontract)| -member(pair(yp,A),parcontract).
% 8.00/8.13 Following clause subsumed by 32 during input processing: 0 [copy,31,flip.1] qInl(A)!=qInr(B).
% 8.00/8.13 Following clause subsumed by 31 during input processing: 0 [copy,32,flip.1] qInr(A)!=qInl(B).
% 8.00/8.13 Following clause subsumed by 85 during input processing: 0 [copy,84,flip.1] inl(A)!=inr(B).
% 8.00/8.13 Following clause subsumed by 84 during input processing: 0 [copy,85,flip.1] inr(A)!=inl(B).
% 8.00/8.13
% 8.00/8.13 ------------> process sos:
% 8.00/8.13 ** KEPT (pick-wt=3): 238 [] A=A.
% 8.00/8.13 ** KEPT (pick-wt=5): 239 [] member(A,cons(A,B)).
% 8.00/8.13 Following clause subsumed by 239 during input processing: 0 [] member(A,cons(A,eptset)).
% 8.00/8.13 ** KEPT (pick-wt=9): 240 [] member(powI_sk1(A,B),A)|member(A,pow(B)).
% 8.00/8.13 ** KEPT (pick-wt=7): 241 [] member(card_Union_sk1(A),A)|card(union(A)).
% 8.00/8.13 ** KEPT (pick-wt=7): 242 [] member(order_Inter_sk1(A),A)|ord(inter(A)).
% 8.00/8.13 ** KEPT (pick-wt=7): 243 [] member(order_Union_sk1(A),A)|ord(union(A)).
% 8.00/8.13 ** KEPT (pick-wt=11): 244 [] member(cons_subsetE_sk1(A,B,C),cons(A,B))|member(A,C).
% 8.00/8.13 ** KEPT (pick-wt=8): 245 [] member(subsetI_sk1(A,B),A)|subset(A,B).
% 8.00/8.13 ** KEPT (pick-wt=3): 246 [] subset(A,A).
% 8.00/8.13 ** KEPT (pick-wt=3): 247 [] subset(eptset,A).
% 8.00/8.13 ** KEPT (pick-wt=3): 248 [] member(combK,comb).
% 8.00/8.13 ** KEPT (pick-wt=3): 249 [] member(combS,comb).
% 8.00/8.13 ** KEPT (pick-wt=3): 250 [] member(p,comb).
% 8.00/8.13 ** KEPT (pick-wt=3): 251 [] member(q,comb).
% 8.00/8.13 ** KEPT (pick-wt=9): 252 [] member(pair(comb_app(comb_app(combK,p),q),yp),parcontract).
% 8.00/8.13 Following clause subsumed by 238 during input processing: 0 [copy,238,flip.1] A=A.
% 8.00/8.13 238 back subsumes 224.
% 8.00/8.13 248 back subsumes 182.
% 8.00/8.13 249 back subsumes 184.
% 8.00/8.13
% 8.00/8.13 ======= end of input processing =======
% 8.00/8.13
% 8.00/8.13 =========== start of search ===========
% 8.00/8.13
% 8.00/8.13
% 8.00/8.13 Resetting weight limit to 3.
% 8.00/8.13
% 8.00/8.13
% 8.00/8.13 Resetting weight limit to 3.
% 8.00/8.13
% 8.00/8.13 sos_size=14
% 8.00/8.13
% 8.00/8.13 Search stopped because sos empty.
% 8.00/8.13
% 8.00/8.13
% 8.00/8.13 Search stopped because sos empty.
% 8.00/8.13
% 8.00/8.13 ============ end of search ============
% 8.00/8.13
% 8.00/8.13 -------------- statistics -------------
% 8.00/8.13 clauses given 16
% 8.00/8.13 clauses generated 3111
% 8.00/8.13 clauses kept 230
% 8.00/8.13 clauses forward subsumed 44
% 8.00/8.13 clauses back subsumed 3
% 8.00/8.13 Kbytes malloced 4882
% 8.00/8.13
% 8.00/8.13 ----------- times (seconds) -----------
% 8.00/8.13 user CPU time 0.05 (0 hr, 0 min, 0 sec)
% 8.00/8.13 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 8.00/8.13 wall-clock time 8 (0 hr, 0 min, 8 sec)
% 8.00/8.13
% 8.00/8.13 Process 3916 finished Wed Jul 27 02:35:49 2022
% 8.00/8.13 Otter interrupted
% 8.00/8.13 PROOF NOT FOUND
%------------------------------------------------------------------------------