TSTP Solution File: HAL001+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : HAL001+2 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 12:57:52 EDT 2022
% Result : Unknown 2.54s 2.77s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HAL001+2 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jul 27 03:48:21 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.74/1.94 ----- Otter 3.3f, August 2004 -----
% 1.74/1.94 The process was started by sandbox2 on n027.cluster.edu,
% 1.74/1.94 Wed Jul 27 03:48:21 2022
% 1.74/1.94 The command was "./otter". The process ID is 11168.
% 1.74/1.94
% 1.74/1.94 set(prolog_style_variables).
% 1.74/1.94 set(auto).
% 1.74/1.94 dependent: set(auto1).
% 1.74/1.94 dependent: set(process_input).
% 1.74/1.94 dependent: clear(print_kept).
% 1.74/1.94 dependent: clear(print_new_demod).
% 1.74/1.94 dependent: clear(print_back_demod).
% 1.74/1.94 dependent: clear(print_back_sub).
% 1.74/1.94 dependent: set(control_memory).
% 1.74/1.94 dependent: assign(max_mem, 12000).
% 1.74/1.94 dependent: assign(pick_given_ratio, 4).
% 1.74/1.94 dependent: assign(stats_level, 1).
% 1.74/1.94 dependent: assign(max_seconds, 10800).
% 1.74/1.94 clear(print_given).
% 1.74/1.94
% 1.74/1.94 formula_list(usable).
% 1.74/1.94 all A (A=A).
% 1.74/1.94 all Morphism Dom Cod (morphism(Morphism,Dom,Cod)-> (all El (element(El,Dom)->element(apply(Morphism,El),Cod)))&apply(Morphism,zero(Dom))=zero(Cod)).
% 1.74/1.94 all Morphism Dom Cod (injection(Morphism)&morphism(Morphism,Dom,Cod)-> (all El1 El2 (element(El1,Dom)&element(El2,Dom)&apply(Morphism,El1)=apply(Morphism,El2)->El1=El2))).
% 1.74/1.94 all Morphism Dom Cod (morphism(Morphism,Dom,Cod)& (all El1 El2 (element(El1,Dom)&element(El2,Dom)&apply(Morphism,El1)=apply(Morphism,El2)->El1=El2))->injection(Morphism)).
% 1.74/1.94 all Morphism Dom Cod (surjection(Morphism)&morphism(Morphism,Dom,Cod)-> (all ElCod (element(ElCod,Cod)-> (exists ElDom (element(ElDom,Dom)&apply(Morphism,ElDom)=ElCod))))).
% 1.74/1.94 all Morphism Dom Cod (morphism(Morphism,Dom,Cod)& (all ElCod (element(ElCod,Cod)-> (exists ElDom (element(ElDom,Dom)&apply(Morphism,ElDom)=ElCod))))->surjection(Morphism)).
% 1.74/1.94 all Morphism1 Morphism2 Dom CodDom Cod (exact(Morphism1,Morphism2)&morphism(Morphism1,Dom,CodDom)&morphism(Morphism2,CodDom,Cod)-> (all ElCodDom (element(ElCodDom,CodDom)&apply(Morphism2,ElCodDom)=zero(Cod)<-> (exists ElDom (element(ElDom,Dom)&apply(Morphism1,ElDom)=ElCodDom))))).
% 1.74/1.94 all Morphism1 Morphism2 Dom CodDom Cod (morphism(Morphism1,Dom,CodDom)&morphism(Morphism2,CodDom,Cod)& (all ElCodDom (element(ElCodDom,CodDom)&apply(Morphism2,ElCodDom)=zero(Cod)<-> (exists ElDom (element(ElDom,Dom)&apply(Morphism1,ElDom)=ElCodDom))))->exact(Morphism1,Morphism2)).
% 1.74/1.94 all M1 M2 M3 M4 Dom DomCod1 DomCod2 Cod (commute(M1,M2,M3,M4)&morphism(M1,Dom,DomCod1)&morphism(M2,DomCod1,Cod)&morphism(M3,Dom,DomCod2)&morphism(M4,DomCod2,Cod)-> (all ElDom (element(ElDom,Dom)->apply(M2,apply(M1,ElDom))=apply(M4,apply(M3,ElDom))))).
% 1.74/1.94 all M1 M2 M3 M4 Dom DomCod1 DomCod2 Cod (morphism(M1,Dom,DomCod1)&morphism(M2,DomCod1,Cod)&morphism(M3,Dom,DomCod2)&morphism(M4,DomCod2,Cod)& (all ElDom (element(ElDom,Dom)->apply(M2,apply(M1,ElDom))=apply(M4,apply(M3,ElDom))))->commute(M1,M2,M3,M4)).
% 1.74/1.94 all Dom El1 El2 (element(El1,Dom)&element(El2,Dom)->element(subtract(Dom,El1,El2),Dom)).
% 1.74/1.94 all Dom El (element(El,Dom)->subtract(Dom,El,El)=zero(Dom)).
% 1.74/1.94 all Dom El1 El2 (element(El1,Dom)&element(El2,Dom)->subtract(Dom,El1,subtract(Dom,El1,El2))=El2).
% 1.74/1.94 all Morphism Dom Cod (morphism(Morphism,Dom,Cod)-> (all El1 El2 (element(El1,Dom)&element(El2,Dom)->apply(Morphism,subtract(Dom,El1,El2))=subtract(Cod,apply(Morphism,El1),apply(Morphism,El2))))).
% 1.74/1.94 all Morphism Dom Cod (injection(Morphism)&morphism(Morphism,Dom,Cod)-> (all El (element(El,Dom)&apply(Morphism,El)=zero(Cod)->El=zero(Dom)))).
% 1.74/1.94 all Morphism Dom Cod (morphism(Morphism,Dom,Cod)& (all El (element(El,Dom)&apply(Morphism,El)=zero(Cod)->El=zero(Dom)))->injection(Morphism)).
% 1.74/1.94 morphism(alpha,a,b).
% 1.74/1.94 morphism(beta,b,c).
% 1.74/1.94 morphism(gamma,d,e).
% 1.74/1.94 morphism(delta,e,r).
% 1.74/1.94 morphism(f,a,d).
% 1.74/1.94 morphism(g,b,e).
% 1.74/1.94 morphism(h,c,r).
% 1.74/1.94 injection(alpha).
% 1.74/1.94 injection(gamma).
% 1.74/1.94 surjection(beta).
% 1.74/1.94 surjection(delta).
% 1.74/1.94 exact(alpha,beta).
% 1.74/1.94 exact(gammma,delta).
% 1.74/1.94 commute(alpha,g,f,gamma).
% 1.74/1.94 commute(beta,h,g,delta).
% 1.74/1.94 injection(f).
% 1.74/1.94 injection(h).
% 1.74/1.94 -injection(g).
% 1.74/1.94 end_of_list.
% 1.74/1.94
% 1.74/1.94 -------> usable clausifies to:
% 1.74/1.94
% 1.74/1.94 list(usable).
% 1.74/1.94 0 [] A=A.
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)| -element(El,Dom)|element(apply(Morphism,El),Cod).
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)|apply(Morphism,zero(Dom))=zero(Cod).
% 1.74/1.94 0 [] -injection(Morphism)| -morphism(Morphism,Dom,Cod)| -element(El1,Dom)| -element(El2,Dom)|apply(Morphism,El1)!=apply(Morphism,El2)|El1=El2.
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)|element($f2(Morphism,Dom,Cod),Dom)|injection(Morphism).
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)|element($f1(Morphism,Dom,Cod),Dom)|injection(Morphism).
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)|apply(Morphism,$f2(Morphism,Dom,Cod))=apply(Morphism,$f1(Morphism,Dom,Cod))|injection(Morphism).
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)|$f2(Morphism,Dom,Cod)!=$f1(Morphism,Dom,Cod)|injection(Morphism).
% 1.74/1.94 0 [] -surjection(Morphism)| -morphism(Morphism,Dom,Cod)| -element(ElCod,Cod)|element($f3(Morphism,Dom,Cod,ElCod),Dom).
% 1.74/1.94 0 [] -surjection(Morphism)| -morphism(Morphism,Dom,Cod)| -element(ElCod,Cod)|apply(Morphism,$f3(Morphism,Dom,Cod,ElCod))=ElCod.
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)|element($f4(Morphism,Dom,Cod),Cod)|surjection(Morphism).
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)| -element(ElDom,Dom)|apply(Morphism,ElDom)!=$f4(Morphism,Dom,Cod)|surjection(Morphism).
% 1.74/1.94 0 [] -exact(Morphism1,Morphism2)| -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)| -element(ElCodDom,CodDom)|apply(Morphism2,ElCodDom)!=zero(Cod)|element($f5(Morphism1,Morphism2,Dom,CodDom,Cod,ElCodDom),Dom).
% 1.74/1.94 0 [] -exact(Morphism1,Morphism2)| -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)| -element(ElCodDom,CodDom)|apply(Morphism2,ElCodDom)!=zero(Cod)|apply(Morphism1,$f5(Morphism1,Morphism2,Dom,CodDom,Cod,ElCodDom))=ElCodDom.
% 1.74/1.94 0 [] -exact(Morphism1,Morphism2)| -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)|element(ElCodDom,CodDom)| -element(ElDom,Dom)|apply(Morphism1,ElDom)!=ElCodDom.
% 1.74/1.94 0 [] -exact(Morphism1,Morphism2)| -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)|apply(Morphism2,ElCodDom)=zero(Cod)| -element(ElDom,Dom)|apply(Morphism1,ElDom)!=ElCodDom.
% 1.74/1.94 0 [] -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)|element($f7(Morphism1,Morphism2,Dom,CodDom,Cod),CodDom)|element($f6(Morphism1,Morphism2,Dom,CodDom,Cod),Dom)|exact(Morphism1,Morphism2).
% 1.74/1.94 0 [] -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)|element($f7(Morphism1,Morphism2,Dom,CodDom,Cod),CodDom)|apply(Morphism1,$f6(Morphism1,Morphism2,Dom,CodDom,Cod))=$f7(Morphism1,Morphism2,Dom,CodDom,Cod)|exact(Morphism1,Morphism2).
% 1.74/1.94 0 [] -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)|apply(Morphism2,$f7(Morphism1,Morphism2,Dom,CodDom,Cod))=zero(Cod)|element($f6(Morphism1,Morphism2,Dom,CodDom,Cod),Dom)|exact(Morphism1,Morphism2).
% 1.74/1.94 0 [] -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)|apply(Morphism2,$f7(Morphism1,Morphism2,Dom,CodDom,Cod))=zero(Cod)|apply(Morphism1,$f6(Morphism1,Morphism2,Dom,CodDom,Cod))=$f7(Morphism1,Morphism2,Dom,CodDom,Cod)|exact(Morphism1,Morphism2).
% 1.74/1.94 0 [] -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)| -element($f7(Morphism1,Morphism2,Dom,CodDom,Cod),CodDom)|apply(Morphism2,$f7(Morphism1,Morphism2,Dom,CodDom,Cod))!=zero(Cod)| -element(ElDom,Dom)|apply(Morphism1,ElDom)!=$f7(Morphism1,Morphism2,Dom,CodDom,Cod)|exact(Morphism1,Morphism2).
% 1.74/1.94 0 [] -commute(M1,M2,M3,M4)| -morphism(M1,Dom,DomCod1)| -morphism(M2,DomCod1,Cod)| -morphism(M3,Dom,DomCod2)| -morphism(M4,DomCod2,Cod)| -element(ElDom,Dom)|apply(M2,apply(M1,ElDom))=apply(M4,apply(M3,ElDom)).
% 1.74/1.94 0 [] -morphism(M1,Dom,DomCod1)| -morphism(M2,DomCod1,Cod)| -morphism(M3,Dom,DomCod2)| -morphism(M4,DomCod2,Cod)|element($f8(M1,M2,M3,M4,Dom,DomCod1,DomCod2,Cod),Dom)|commute(M1,M2,M3,M4).
% 1.74/1.94 0 [] -morphism(M1,Dom,DomCod1)| -morphism(M2,DomCod1,Cod)| -morphism(M3,Dom,DomCod2)| -morphism(M4,DomCod2,Cod)|apply(M2,apply(M1,$f8(M1,M2,M3,M4,Dom,DomCod1,DomCod2,Cod)))!=apply(M4,apply(M3,$f8(M1,M2,M3,M4,Dom,DomCod1,DomCod2,Cod)))|commute(M1,M2,M3,M4).
% 1.74/1.94 0 [] -element(El1,Dom)| -element(El2,Dom)|element(subtract(Dom,El1,El2),Dom).
% 1.74/1.94 0 [] -element(El,Dom)|subtract(Dom,El,El)=zero(Dom).
% 1.74/1.94 0 [] -element(El1,Dom)| -element(El2,Dom)|subtract(Dom,El1,subtract(Dom,El1,El2))=El2.
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)| -element(El1,Dom)| -element(El2,Dom)|apply(Morphism,subtract(Dom,El1,El2))=subtract(Cod,apply(Morphism,El1),apply(Morphism,El2)).
% 1.74/1.94 0 [] -injection(Morphism)| -morphism(Morphism,Dom,Cod)| -element(El,Dom)|apply(Morphism,El)!=zero(Cod)|El=zero(Dom).
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)|element($f9(Morphism,Dom,Cod),Dom)|injection(Morphism).
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)|apply(Morphism,$f9(Morphism,Dom,Cod))=zero(Cod)|injection(Morphism).
% 1.74/1.94 0 [] -morphism(Morphism,Dom,Cod)|$f9(Morphism,Dom,Cod)!=zero(Dom)|injection(Morphism).
% 1.74/1.94 0 [] morphism(alpha,a,b).
% 1.74/1.94 0 [] morphism(beta,b,c).
% 1.74/1.94 0 [] morphism(gamma,d,e).
% 1.74/1.94 0 [] morphism(delta,e,r).
% 1.74/1.94 0 [] morphism(f,a,d).
% 1.74/1.94 0 [] morphism(g,b,e).
% 1.74/1.94 0 [] morphism(h,c,r).
% 1.74/1.94 0 [] injection(alpha).
% 1.74/1.94 0 [] injection(gamma).
% 1.74/1.94 0 [] surjection(beta).
% 1.74/1.94 0 [] surjection(delta).
% 1.74/1.94 0 [] exact(alpha,beta).
% 1.74/1.94 0 [] exact(gammma,delta).
% 1.74/1.94 0 [] commute(alpha,g,f,gamma).
% 1.74/1.94 0 [] commute(beta,h,g,delta).
% 1.74/1.94 0 [] injection(f).
% 1.74/1.94 0 [] injection(h).
% 1.74/1.94 0 [] -injection(g).
% 1.74/1.94 end_of_list.
% 1.74/1.94
% 1.74/1.94 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.74/1.94
% 1.74/1.94 This ia a non-Horn set with equality. The strategy will be
% 1.74/1.94 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.74/1.94 deletion, with positive clauses in sos and nonpositive
% 1.74/1.94 clauses in usable.
% 1.74/1.94
% 1.74/1.94 dependent: set(knuth_bendix).
% 1.74/1.94 dependent: set(anl_eq).
% 1.74/1.94 dependent: set(para_from).
% 1.74/1.94 dependent: set(para_into).
% 1.74/1.94 dependent: clear(para_from_right).
% 1.74/1.94 dependent: clear(para_into_right).
% 1.74/1.94 dependent: set(para_from_vars).
% 1.74/1.94 dependent: set(eq_units_both_ways).
% 1.74/1.94 dependent: set(dynamic_demod_all).
% 1.74/1.94 dependent: set(dynamic_demod).
% 1.74/1.94 dependent: set(order_eq).
% 1.74/1.94 dependent: set(back_demod).
% 1.74/1.94 dependent: set(lrpo).
% 1.74/1.94 dependent: set(hyper_res).
% 1.74/1.94 dependent: set(unit_deletion).
% 1.74/1.94 dependent: set(factor).
% 1.74/1.94
% 1.74/1.94 ------------> process usable:
% 1.74/1.94 ** KEPT (pick-wt=12): 1 [] -morphism(A,B,C)| -element(D,B)|element(apply(A,D),C).
% 1.74/1.94 ** KEPT (pick-wt=11): 2 [] -morphism(A,B,C)|apply(A,zero(B))=zero(C).
% 1.74/1.94 ** KEPT (pick-wt=22): 3 [] -injection(A)| -morphism(A,B,C)| -element(D,B)| -element(E,B)|apply(A,D)!=apply(A,E)|D=E.
% 1.74/1.94 ** KEPT (pick-wt=12): 4 [] -morphism(A,B,C)|element($f2(A,B,C),B)|injection(A).
% 1.74/1.94 ** KEPT (pick-wt=12): 5 [] -morphism(A,B,C)|element($f1(A,B,C),B)|injection(A).
% 1.74/1.94 ** KEPT (pick-wt=19): 6 [] -morphism(A,B,C)|apply(A,$f2(A,B,C))=apply(A,$f1(A,B,C))|injection(A).
% 1.74/1.94 ** KEPT (pick-wt=15): 7 [] -morphism(A,B,C)|$f2(A,B,C)!=$f1(A,B,C)|injection(A).
% 1.74/1.94 ** KEPT (pick-wt=16): 8 [] -surjection(A)| -morphism(A,B,C)| -element(D,C)|element($f3(A,B,C,D),B).
% 1.74/1.94 ** KEPT (pick-wt=18): 9 [] -surjection(A)| -morphism(A,B,C)| -element(D,C)|apply(A,$f3(A,B,C,D))=D.
% 1.74/1.94 ** KEPT (pick-wt=12): 10 [] -morphism(A,B,C)|element($f4(A,B,C),C)|surjection(A).
% 1.74/1.94 ** KEPT (pick-wt=17): 11 [] -morphism(A,B,C)| -element(D,B)|apply(A,D)!=$f4(A,B,C)|surjection(A).
% 1.74/1.94 ** KEPT (pick-wt=29): 12 [] -exact(A,B)| -morphism(A,C,D)| -morphism(B,D,E)| -element(F,D)|apply(B,F)!=zero(E)|element($f5(A,B,C,D,E,F),C).
% 1.74/1.94 ** KEPT (pick-wt=31): 13 [] -exact(A,B)| -morphism(A,C,D)| -morphism(B,D,E)| -element(F,D)|apply(B,F)!=zero(E)|apply(A,$f5(A,B,C,D,E,F))=F.
% 1.74/1.94 ** KEPT (pick-wt=22): 14 [] -exact(A,B)| -morphism(A,C,D)| -morphism(B,D,E)|element(F,D)| -element(G,C)|apply(A,G)!=F.
% 1.74/1.94 ** KEPT (pick-wt=25): 15 [] -exact(A,B)| -morphism(A,C,D)| -morphism(B,D,E)|apply(B,F)=zero(E)| -element(G,C)|apply(A,G)!=F.
% 1.74/1.94 ** KEPT (pick-wt=27): 16 [] -morphism(A,B,C)| -morphism(D,C,E)|element($f7(A,D,B,C,E),C)|element($f6(A,D,B,C,E),B)|exact(A,D).
% 1.74/1.94 ** KEPT (pick-wt=34): 17 [] -morphism(A,B,C)| -morphism(D,C,E)|element($f7(A,D,B,C,E),C)|apply(A,$f6(A,D,B,C,E))=$f7(A,D,B,C,E)|exact(A,D).
% 1.74/1.94 ** KEPT (pick-wt=30): 18 [] -morphism(A,B,C)| -morphism(D,C,E)|apply(D,$f7(A,D,B,C,E))=zero(E)|element($f6(A,D,B,C,E),B)|exact(A,D).
% 1.74/1.94 ** KEPT (pick-wt=37): 19 [] -morphism(A,B,C)| -morphism(D,C,E)|apply(D,$f7(A,D,B,C,E))=zero(E)|apply(A,$f6(A,D,B,C,E))=$f7(A,D,B,C,E)|exact(A,D).
% 1.74/1.94 ** KEPT (pick-wt=43): 20 [] -morphism(A,B,C)| -morphism(D,C,E)| -element($f7(A,D,B,C,E),C)|apply(D,$f7(A,D,B,C,E))!=zero(E)| -element(F,B)|apply(A,F)!=$f7(A,D,B,C,E)|exact(A,D).
% 1.74/1.94 ** KEPT (pick-wt=35): 21 [] -commute(A,B,C,D)| -morphism(A,E,F)| -morphism(B,F,G)| -morphism(C,E,H)| -morphism(D,H,G)| -element(I,E)|apply(B,apply(A,I))=apply(D,apply(C,I)).
% 1.74/1.94 ** KEPT (pick-wt=32): 22 [] -morphism(A,B,C)| -morphism(D,C,E)| -morphism(F,B,G)| -morphism(H,G,E)|element($f8(A,D,F,H,B,C,G,E),B)|commute(A,D,F,H).
% 1.74/1.94 ** KEPT (pick-wt=48): 23 [] -morphism(A,B,C)| -morphism(D,C,E)| -morphism(F,B,G)| -morphism(H,G,E)|apply(D,apply(A,$f8(A,D,F,H,B,C,G,E)))!=apply(H,apply(F,$f8(A,D,F,H,B,C,G,E)))|commute(A,D,F,H).
% 2.54/2.77 ** KEPT (pick-wt=12): 24 [] -element(A,B)| -element(C,B)|element(subtract(B,A,C),B).
% 2.54/2.77 ** KEPT (pick-wt=10): 25 [] -element(A,B)|subtract(B,A,A)=zero(B).
% 2.54/2.77 ** KEPT (pick-wt=15): 26 [] -element(A,B)| -element(C,B)|subtract(B,A,subtract(B,A,C))=C.
% 2.54/2.77 ** KEPT (pick-wt=25): 27 [] -morphism(A,B,C)| -element(D,B)| -element(E,B)|apply(A,subtract(B,D,E))=subtract(C,apply(A,D),apply(A,E)).
% 2.54/2.77 ** KEPT (pick-wt=19): 28 [] -injection(A)| -morphism(A,B,C)| -element(D,B)|apply(A,D)!=zero(C)|D=zero(B).
% 2.54/2.77 ** KEPT (pick-wt=12): 29 [] -morphism(A,B,C)|element($f9(A,B,C),B)|injection(A).
% 2.54/2.77 ** KEPT (pick-wt=15): 30 [] -morphism(A,B,C)|apply(A,$f9(A,B,C))=zero(C)|injection(A).
% 2.54/2.77 ** KEPT (pick-wt=13): 31 [] -morphism(A,B,C)|$f9(A,B,C)!=zero(B)|injection(A).
% 2.54/2.77 ** KEPT (pick-wt=2): 32 [] -injection(g).
% 2.54/2.77
% 2.54/2.77 ------------> process sos:
% 2.54/2.77 ** KEPT (pick-wt=3): 90 [] A=A.
% 2.54/2.77 ** KEPT (pick-wt=4): 91 [] morphism(alpha,a,b).
% 2.54/2.77 ** KEPT (pick-wt=4): 92 [] morphism(beta,b,c).
% 2.54/2.77 ** KEPT (pick-wt=4): 93 [] morphism(gamma,d,e).
% 2.54/2.77 ** KEPT (pick-wt=4): 94 [] morphism(delta,e,r).
% 2.54/2.77 ** KEPT (pick-wt=4): 95 [] morphism(f,a,d).
% 2.54/2.77 ** KEPT (pick-wt=4): 96 [] morphism(g,b,e).
% 2.54/2.77 ** KEPT (pick-wt=4): 97 [] morphism(h,c,r).
% 2.54/2.77 ** KEPT (pick-wt=2): 98 [] injection(alpha).
% 2.54/2.77 ** KEPT (pick-wt=2): 99 [] injection(gamma).
% 2.54/2.77 ** KEPT (pick-wt=2): 100 [] surjection(beta).
% 2.54/2.77 ** KEPT (pick-wt=2): 101 [] surjection(delta).
% 2.54/2.77 ** KEPT (pick-wt=3): 102 [] exact(alpha,beta).
% 2.54/2.77 ** KEPT (pick-wt=3): 103 [] exact(gammma,delta).
% 2.54/2.77 ** KEPT (pick-wt=5): 104 [] commute(alpha,g,f,gamma).
% 2.54/2.77 ** KEPT (pick-wt=5): 105 [] commute(beta,h,g,delta).
% 2.54/2.77 ** KEPT (pick-wt=2): 106 [] injection(f).
% 2.54/2.77 ** KEPT (pick-wt=2): 107 [] injection(h).
% 2.54/2.77 Following clause subsumed by 90 during input processing: 0 [copy,90,flip.1] A=A.
% 2.54/2.77 90 back subsumes 87.
% 2.54/2.77 90 back subsumes 70.
% 2.54/2.77 90 back subsumes 33.
% 2.54/2.77
% 2.54/2.77 ======= end of input processing =======
% 2.54/2.77
% 2.54/2.77 =========== start of search ===========
% 2.54/2.77
% 2.54/2.77
% 2.54/2.77 Resetting weight limit to 12.
% 2.54/2.77
% 2.54/2.77
% 2.54/2.77 Resetting weight limit to 12.
% 2.54/2.77
% 2.54/2.77 sos_size=373
% 2.54/2.77
% 2.54/2.77 Search stopped because sos empty.
% 2.54/2.77
% 2.54/2.77
% 2.54/2.77 Search stopped because sos empty.
% 2.54/2.77
% 2.54/2.77 ============ end of search ============
% 2.54/2.77
% 2.54/2.77 -------------- statistics -------------
% 2.54/2.77 clauses given 410
% 2.54/2.77 clauses generated 21438
% 2.54/2.77 clauses kept 556
% 2.54/2.77 clauses forward subsumed 582
% 2.54/2.77 clauses back subsumed 4
% 2.54/2.77 Kbytes malloced 6835
% 2.54/2.77
% 2.54/2.77 ----------- times (seconds) -----------
% 2.54/2.77 user CPU time 0.83 (0 hr, 0 min, 0 sec)
% 2.54/2.77 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.54/2.77 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.54/2.77
% 2.54/2.77 Process 11168 finished Wed Jul 27 03:48:24 2022
% 2.54/2.77 Otter interrupted
% 2.54/2.77 PROOF NOT FOUND
%------------------------------------------------------------------------------