TSTP Solution File: HAL006+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : HAL006+1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 12:57:53 EDT 2022
% Result : Unknown 2.53s 2.74s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : HAL006+1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jul 27 03:33:20 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.82/2.04 ----- Otter 3.3f, August 2004 -----
% 1.82/2.04 The process was started by sandbox on n012.cluster.edu,
% 1.82/2.04 Wed Jul 27 03:33:20 2022
% 1.82/2.04 The command was "./otter". The process ID is 28828.
% 1.82/2.04
% 1.82/2.04 set(prolog_style_variables).
% 1.82/2.04 set(auto).
% 1.82/2.04 dependent: set(auto1).
% 1.82/2.04 dependent: set(process_input).
% 1.82/2.04 dependent: clear(print_kept).
% 1.82/2.04 dependent: clear(print_new_demod).
% 1.82/2.04 dependent: clear(print_back_demod).
% 1.82/2.04 dependent: clear(print_back_sub).
% 1.82/2.04 dependent: set(control_memory).
% 1.82/2.04 dependent: assign(max_mem, 12000).
% 1.82/2.04 dependent: assign(pick_given_ratio, 4).
% 1.82/2.04 dependent: assign(stats_level, 1).
% 1.82/2.04 dependent: assign(max_seconds, 10800).
% 1.82/2.04 clear(print_given).
% 1.82/2.04
% 1.82/2.04 formula_list(usable).
% 1.82/2.04 all A (A=A).
% 1.82/2.04 all Morphism Dom Cod (morphism(Morphism,Dom,Cod)-> (all El (element(El,Dom)->element(apply(Morphism,El),Cod)))&apply(Morphism,zero(Dom))=zero(Cod)).
% 1.82/2.04 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))).
% 1.82/2.04 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)).
% 1.82/2.04 all Morphism Dom Cod (surjection(Morphism)&morphism(Morphism,Dom,Cod)-> (all ElCod (element(ElCod,Cod)-> (exists ElDom (element(ElDom,Dom)&apply(Morphism,ElDom)=ElCod))))).
% 1.82/2.04 all Morphism Dom Cod (morphism(Morphism,Dom,Cod)& (all ElCod (element(ElCod,Cod)-> (exists ElDom (element(ElDom,Dom)&apply(Morphism,ElDom)=ElCod))))->surjection(Morphism)).
% 1.82/2.04 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))))).
% 1.82/2.04 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)).
% 1.82/2.04 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))))).
% 1.82/2.04 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)).
% 1.82/2.04 all Dom El1 El2 (element(El1,Dom)&element(El2,Dom)->element(subtract(Dom,El1,El2),Dom)).
% 1.82/2.04 all Dom El (element(El,Dom)->subtract(Dom,El,El)=zero(Dom)).
% 1.82/2.04 all Dom El1 El2 (element(El1,Dom)&element(El2,Dom)->subtract(Dom,El1,subtract(Dom,El1,El2))=El2).
% 1.82/2.04 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))))).
% 1.82/2.04 morphism(alpha,a,b).
% 1.82/2.04 morphism(beta,b,c).
% 1.82/2.04 morphism(gamma,d,e).
% 1.82/2.04 morphism(delta,e,r).
% 1.82/2.04 morphism(f,a,d).
% 1.82/2.04 morphism(g,b,e).
% 1.82/2.04 morphism(h,c,r).
% 1.82/2.04 injection(alpha).
% 1.82/2.04 injection(gamma).
% 1.82/2.04 surjection(beta).
% 1.82/2.04 surjection(delta).
% 1.82/2.04 exact(alpha,beta).
% 1.82/2.04 exact(gammma,delta).
% 1.82/2.04 commute(alpha,g,f,gamma).
% 1.82/2.04 commute(beta,h,g,delta).
% 1.82/2.04 surjection(f).
% 1.82/2.04 surjection(h).
% 1.82/2.04 all E (element(E,e)-> (exists R B1 (element(R,r)&apply(delta,E)=R&element(B1,b)&apply(h,apply(beta,B1))=R&apply(delta,apply(g,B1))=R))).
% 1.82/2.04 all E (element(E,e)-> (exists B1 E1 A (element(B1,b)&element(E1,e)&subtract(e,apply(g,B1),E)=E1&element(A,a)&apply(gamma,apply(f,A))=E1&apply(g,apply(alpha,A))=E1))).
% 1.82/2.04 -(all E (element(E,e)-> (exists B1 B2 (element(B1,b)&element(B2,b)&apply(g,subtract(b,B1,B2))=E)))).
% 1.82/2.04 end_of_list.
% 1.82/2.04
% 1.82/2.04 -------> usable clausifies to:
% 1.82/2.04
% 1.82/2.04 list(usable).
% 1.82/2.04 0 [] A=A.
% 1.82/2.04 0 [] -morphism(Morphism,Dom,Cod)| -element(El,Dom)|element(apply(Morphism,El),Cod).
% 1.82/2.04 0 [] -morphism(Morphism,Dom,Cod)|apply(Morphism,zero(Dom))=zero(Cod).
% 1.82/2.04 0 [] -injection(Morphism)| -morphism(Morphism,Dom,Cod)| -element(El1,Dom)| -element(El2,Dom)|apply(Morphism,El1)!=apply(Morphism,El2)|El1=El2.
% 1.82/2.04 0 [] -morphism(Morphism,Dom,Cod)|element($f2(Morphism,Dom,Cod),Dom)|injection(Morphism).
% 1.82/2.04 0 [] -morphism(Morphism,Dom,Cod)|element($f1(Morphism,Dom,Cod),Dom)|injection(Morphism).
% 1.82/2.04 0 [] -morphism(Morphism,Dom,Cod)|apply(Morphism,$f2(Morphism,Dom,Cod))=apply(Morphism,$f1(Morphism,Dom,Cod))|injection(Morphism).
% 1.82/2.04 0 [] -morphism(Morphism,Dom,Cod)|$f2(Morphism,Dom,Cod)!=$f1(Morphism,Dom,Cod)|injection(Morphism).
% 1.82/2.04 0 [] -surjection(Morphism)| -morphism(Morphism,Dom,Cod)| -element(ElCod,Cod)|element($f3(Morphism,Dom,Cod,ElCod),Dom).
% 1.82/2.04 0 [] -surjection(Morphism)| -morphism(Morphism,Dom,Cod)| -element(ElCod,Cod)|apply(Morphism,$f3(Morphism,Dom,Cod,ElCod))=ElCod.
% 1.82/2.04 0 [] -morphism(Morphism,Dom,Cod)|element($f4(Morphism,Dom,Cod),Cod)|surjection(Morphism).
% 1.82/2.04 0 [] -morphism(Morphism,Dom,Cod)| -element(ElDom,Dom)|apply(Morphism,ElDom)!=$f4(Morphism,Dom,Cod)|surjection(Morphism).
% 1.82/2.04 0 [] -exact(Morphism1,Morphism2)| -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)| -element(ElCodDom,CodDom)|apply(Morphism2,ElCodDom)!=zero(Cod)|element($f5(Morphism1,Morphism2,Dom,CodDom,Cod,ElCodDom),Dom).
% 1.82/2.04 0 [] -exact(Morphism1,Morphism2)| -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)| -element(ElCodDom,CodDom)|apply(Morphism2,ElCodDom)!=zero(Cod)|apply(Morphism1,$f5(Morphism1,Morphism2,Dom,CodDom,Cod,ElCodDom))=ElCodDom.
% 1.82/2.04 0 [] -exact(Morphism1,Morphism2)| -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)|element(ElCodDom,CodDom)| -element(ElDom,Dom)|apply(Morphism1,ElDom)!=ElCodDom.
% 1.82/2.04 0 [] -exact(Morphism1,Morphism2)| -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)|apply(Morphism2,ElCodDom)=zero(Cod)| -element(ElDom,Dom)|apply(Morphism1,ElDom)!=ElCodDom.
% 1.82/2.04 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).
% 1.82/2.04 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))=$f7(Morphism1,Morphism2,Dom,CodDom,Cod)|exact(Morphism1,Morphism2).
% 1.82/2.04 0 [] -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)|apply(Morphism2,$f7(Morphism1,Morphism2,Dom,CodDom,Cod))=zero(Cod)|element($f6(Morphism1,Morphism2,Dom,CodDom,Cod),Dom)|exact(Morphism1,Morphism2).
% 1.82/2.04 0 [] -morphism(Morphism1,Dom,CodDom)| -morphism(Morphism2,CodDom,Cod)|apply(Morphism2,$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).
% 1.82/2.04 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)!=$f7(Morphism1,Morphism2,Dom,CodDom,Cod)|exact(Morphism1,Morphism2).
% 1.82/2.04 0 [] -commute(M1,M2,M3,M4)| -morphism(M1,Dom,DomCod1)| -morphism(M2,DomCod1,Cod)| -morphism(M3,Dom,DomCod2)| -morphism(M4,DomCod2,Cod)| -element(ElDom,Dom)|apply(M2,apply(M1,ElDom))=apply(M4,apply(M3,ElDom)).
% 1.82/2.04 0 [] -morphism(M1,Dom,DomCod1)| -morphism(M2,DomCod1,Cod)| -morphism(M3,Dom,DomCod2)| -morphism(M4,DomCod2,Cod)|element($f8(M1,M2,M3,M4,Dom,DomCod1,DomCod2,Cod),Dom)|commute(M1,M2,M3,M4).
% 1.82/2.04 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).
% 1.82/2.04 0 [] -element(El1,Dom)| -element(El2,Dom)|element(subtract(Dom,El1,El2),Dom).
% 1.82/2.04 0 [] -element(El,Dom)|subtract(Dom,El,El)=zero(Dom).
% 1.82/2.04 0 [] -element(El1,Dom)| -element(El2,Dom)|subtract(Dom,El1,subtract(Dom,El1,El2))=El2.
% 1.82/2.04 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)).
% 1.82/2.04 0 [] morphism(alpha,a,b).
% 1.82/2.04 0 [] morphism(beta,b,c).
% 1.82/2.04 0 [] morphism(gamma,d,e).
% 1.82/2.04 0 [] morphism(delta,e,r).
% 1.86/2.05 0 [] morphism(f,a,d).
% 1.86/2.05 0 [] morphism(g,b,e).
% 1.86/2.05 0 [] morphism(h,c,r).
% 1.86/2.05 0 [] injection(alpha).
% 1.86/2.05 0 [] injection(gamma).
% 1.86/2.05 0 [] surjection(beta).
% 1.86/2.05 0 [] surjection(delta).
% 1.86/2.05 0 [] exact(alpha,beta).
% 1.86/2.05 0 [] exact(gammma,delta).
% 1.86/2.05 0 [] commute(alpha,g,f,gamma).
% 1.86/2.05 0 [] commute(beta,h,g,delta).
% 1.86/2.05 0 [] surjection(f).
% 1.86/2.05 0 [] surjection(h).
% 1.86/2.05 0 [] -element(E,e)|element($f10(E),r).
% 1.86/2.05 0 [] -element(E,e)|apply(delta,E)=$f10(E).
% 1.86/2.05 0 [] -element(E,e)|element($f9(E),b).
% 1.86/2.05 0 [] -element(E,e)|apply(h,apply(beta,$f9(E)))=$f10(E).
% 1.86/2.05 0 [] -element(E,e)|apply(delta,apply(g,$f9(E)))=$f10(E).
% 1.86/2.05 0 [] -element(E,e)|element($f13(E),b).
% 1.86/2.05 0 [] -element(E,e)|element($f12(E),e).
% 1.86/2.05 0 [] -element(E,e)|subtract(e,apply(g,$f13(E)),E)=$f12(E).
% 1.86/2.05 0 [] -element(E,e)|element($f11(E),a).
% 1.86/2.05 0 [] -element(E,e)|apply(gamma,apply(f,$f11(E)))=$f12(E).
% 1.86/2.05 0 [] -element(E,e)|apply(g,apply(alpha,$f11(E)))=$f12(E).
% 1.86/2.05 0 [] element($c1,e).
% 1.86/2.05 0 [] -element(B1,b)| -element(B2,b)|apply(g,subtract(b,B1,B2))!=$c1.
% 1.86/2.05 end_of_list.
% 1.86/2.05
% 1.86/2.05 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.86/2.05
% 1.86/2.05 This ia a non-Horn set with equality. The strategy will be
% 1.86/2.05 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.86/2.05 deletion, with positive clauses in sos and nonpositive
% 1.86/2.05 clauses in usable.
% 1.86/2.05
% 1.86/2.05 dependent: set(knuth_bendix).
% 1.86/2.05 dependent: set(anl_eq).
% 1.86/2.05 dependent: set(para_from).
% 1.86/2.05 dependent: set(para_into).
% 1.86/2.05 dependent: clear(para_from_right).
% 1.86/2.05 dependent: clear(para_into_right).
% 1.86/2.05 dependent: set(para_from_vars).
% 1.86/2.05 dependent: set(eq_units_both_ways).
% 1.86/2.05 dependent: set(dynamic_demod_all).
% 1.86/2.05 dependent: set(dynamic_demod).
% 1.86/2.05 dependent: set(order_eq).
% 1.86/2.05 dependent: set(back_demod).
% 1.86/2.05 dependent: set(lrpo).
% 1.86/2.05 dependent: set(hyper_res).
% 1.86/2.05 dependent: set(unit_deletion).
% 1.86/2.05 dependent: set(factor).
% 1.86/2.05
% 1.86/2.05 ------------> process usable:
% 1.86/2.05 ** KEPT (pick-wt=12): 1 [] -morphism(A,B,C)| -element(D,B)|element(apply(A,D),C).
% 1.86/2.05 ** KEPT (pick-wt=11): 2 [] -morphism(A,B,C)|apply(A,zero(B))=zero(C).
% 1.86/2.05 ** 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.
% 1.86/2.05 ** KEPT (pick-wt=12): 4 [] -morphism(A,B,C)|element($f2(A,B,C),B)|injection(A).
% 1.86/2.05 ** KEPT (pick-wt=12): 5 [] -morphism(A,B,C)|element($f1(A,B,C),B)|injection(A).
% 1.86/2.05 ** KEPT (pick-wt=19): 6 [] -morphism(A,B,C)|apply(A,$f2(A,B,C))=apply(A,$f1(A,B,C))|injection(A).
% 1.86/2.05 ** KEPT (pick-wt=15): 7 [] -morphism(A,B,C)|$f2(A,B,C)!=$f1(A,B,C)|injection(A).
% 1.86/2.05 ** KEPT (pick-wt=16): 8 [] -surjection(A)| -morphism(A,B,C)| -element(D,C)|element($f3(A,B,C,D),B).
% 1.86/2.05 ** KEPT (pick-wt=18): 9 [] -surjection(A)| -morphism(A,B,C)| -element(D,C)|apply(A,$f3(A,B,C,D))=D.
% 1.86/2.05 ** KEPT (pick-wt=12): 10 [] -morphism(A,B,C)|element($f4(A,B,C),C)|surjection(A).
% 1.86/2.05 ** KEPT (pick-wt=17): 11 [] -morphism(A,B,C)| -element(D,B)|apply(A,D)!=$f4(A,B,C)|surjection(A).
% 1.86/2.05 ** 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($f5(A,B,C,D,E,F),C).
% 1.86/2.05 ** KEPT (pick-wt=31): 13 [] -exact(A,B)| -morphism(A,C,D)| -morphism(B,D,E)| -element(F,D)|apply(B,F)!=zero(E)|apply(A,$f5(A,B,C,D,E,F))=F.
% 1.86/2.05 ** 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.
% 1.86/2.05 ** 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.
% 1.86/2.05 ** 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).
% 1.86/2.05 ** 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))=$f7(A,D,B,C,E)|exact(A,D).
% 1.86/2.05 ** KEPT (pick-wt=30): 18 [] -morphism(A,B,C)| -morphism(D,C,E)|apply(D,$f7(A,D,B,C,E))=zero(E)|element($f6(A,D,B,C,E),B)|exact(A,D).
% 1.86/2.05 ** KEPT (pick-wt=37): 19 [] -morphism(A,B,C)| -morphism(D,C,E)|apply(D,$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).
% 1.86/2.05 ** 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)!=$f7(A,D,B,C,E)|exact(A,D).
% 1.86/2.05 ** KEPT (pick-wt=35): 21 [] -commute(A,B,C,D)| -morphism(A,E,F)| -morphism(B,F,G)| -morphism(C,E,H)| -morphism(D,H,G)| -element(I,E)|apply(B,apply(A,I))=apply(D,apply(C,I)).
% 2.53/2.74 ** KEPT (pick-wt=32): 22 [] -morphism(A,B,C)| -morphism(D,C,E)| -morphism(F,B,G)| -morphism(H,G,E)|element($f8(A,D,F,H,B,C,G,E),B)|commute(A,D,F,H).
% 2.53/2.74 ** 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).
% 2.53/2.74 ** KEPT (pick-wt=12): 24 [] -element(A,B)| -element(C,B)|element(subtract(B,A,C),B).
% 2.53/2.74 ** KEPT (pick-wt=10): 25 [] -element(A,B)|subtract(B,A,A)=zero(B).
% 2.53/2.74 ** KEPT (pick-wt=15): 26 [] -element(A,B)| -element(C,B)|subtract(B,A,subtract(B,A,C))=C.
% 2.53/2.74 ** 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)).
% 2.53/2.74 ** KEPT (pick-wt=7): 28 [] -element(A,e)|element($f10(A),r).
% 2.53/2.74 ** KEPT (pick-wt=9): 30 [copy,29,flip.2] -element(A,e)|$f10(A)=apply(delta,A).
% 2.53/2.74 ** KEPT (pick-wt=7): 31 [] -element(A,e)|element($f9(A),b).
% 2.53/2.74 ** KEPT (pick-wt=12): 32 [] -element(A,e)|apply(h,apply(beta,$f9(A)))=$f10(A).
% 2.53/2.74 ** KEPT (pick-wt=12): 33 [] -element(A,e)|apply(delta,apply(g,$f9(A)))=$f10(A).
% 2.53/2.74 ** KEPT (pick-wt=7): 34 [] -element(A,e)|element($f13(A),b).
% 2.53/2.74 ** KEPT (pick-wt=7): 35 [] -element(A,e)|element($f12(A),e).
% 2.53/2.74 ** KEPT (pick-wt=13): 36 [] -element(A,e)|subtract(e,apply(g,$f13(A)),A)=$f12(A).
% 2.53/2.74 ** KEPT (pick-wt=7): 37 [] -element(A,e)|element($f11(A),a).
% 2.53/2.74 ** KEPT (pick-wt=12): 39 [copy,38,flip.2] -element(A,e)|$f12(A)=apply(gamma,apply(f,$f11(A))).
% 2.53/2.74 ** KEPT (pick-wt=12): 41 [copy,40,flip.2] -element(A,e)|$f12(A)=apply(g,apply(alpha,$f11(A))).
% 2.53/2.74 ** KEPT (pick-wt=14): 42 [] -element(A,b)| -element(B,b)|apply(g,subtract(b,A,B))!=$c1.
% 2.53/2.74
% 2.53/2.74 ------------> process sos:
% 2.53/2.74 ** KEPT (pick-wt=3): 101 [] A=A.
% 2.53/2.74 ** KEPT (pick-wt=4): 102 [] morphism(alpha,a,b).
% 2.53/2.74 ** KEPT (pick-wt=4): 103 [] morphism(beta,b,c).
% 2.53/2.74 ** KEPT (pick-wt=4): 104 [] morphism(gamma,d,e).
% 2.53/2.74 ** KEPT (pick-wt=4): 105 [] morphism(delta,e,r).
% 2.53/2.74 ** KEPT (pick-wt=4): 106 [] morphism(f,a,d).
% 2.53/2.74 ** KEPT (pick-wt=4): 107 [] morphism(g,b,e).
% 2.53/2.74 ** KEPT (pick-wt=4): 108 [] morphism(h,c,r).
% 2.53/2.74 ** KEPT (pick-wt=2): 109 [] injection(alpha).
% 2.53/2.74 ** KEPT (pick-wt=2): 110 [] injection(gamma).
% 2.53/2.74 ** KEPT (pick-wt=2): 111 [] surjection(beta).
% 2.53/2.74 ** KEPT (pick-wt=2): 112 [] surjection(delta).
% 2.53/2.74 ** KEPT (pick-wt=3): 113 [] exact(alpha,beta).
% 2.53/2.74 ** KEPT (pick-wt=3): 114 [] exact(gammma,delta).
% 2.53/2.74 ** KEPT (pick-wt=5): 115 [] commute(alpha,g,f,gamma).
% 2.53/2.74 ** KEPT (pick-wt=5): 116 [] commute(beta,h,g,delta).
% 2.53/2.74 ** KEPT (pick-wt=2): 117 [] surjection(f).
% 2.53/2.74 ** KEPT (pick-wt=2): 118 [] surjection(h).
% 2.53/2.74 ** KEPT (pick-wt=3): 119 [] element($c1,e).
% 2.53/2.74 Following clause subsumed by 101 during input processing: 0 [copy,101,flip.1] A=A.
% 2.53/2.74 101 back subsumes 98.
% 2.53/2.74 101 back subsumes 81.
% 2.53/2.74 101 back subsumes 43.
% 2.53/2.74
% 2.53/2.74 ======= end of input processing =======
% 2.53/2.74
% 2.53/2.74 =========== start of search ===========
% 2.53/2.74
% 2.53/2.74
% 2.53/2.74 Resetting weight limit to 8.
% 2.53/2.74
% 2.53/2.74
% 2.53/2.74 Resetting weight limit to 8.
% 2.53/2.74
% 2.53/2.74 sos_size=292
% 2.53/2.74
% 2.53/2.74 Search stopped because sos empty.
% 2.53/2.74
% 2.53/2.74
% 2.53/2.74 Search stopped because sos empty.
% 2.53/2.74
% 2.53/2.74 ============ end of search ============
% 2.53/2.74
% 2.53/2.74 -------------- statistics -------------
% 2.53/2.74 clauses given 353
% 2.53/2.74 clauses generated 18081
% 2.53/2.74 clauses kept 474
% 2.53/2.74 clauses forward subsumed 705
% 2.53/2.74 clauses back subsumed 3
% 2.53/2.74 Kbytes malloced 6835
% 2.53/2.74
% 2.53/2.74 ----------- times (seconds) -----------
% 2.53/2.74 user CPU time 0.71 (0 hr, 0 min, 0 sec)
% 2.53/2.74 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.53/2.74 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.53/2.74
% 2.53/2.74 Process 28828 finished Wed Jul 27 03:33:23 2022
% 2.53/2.74 Otter interrupted
% 2.53/2.74 PROOF NOT FOUND
%------------------------------------------------------------------------------