0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.10 % Command : tptp2X_and_run_prover9 %d %s 0.09/0.31 % Computer : n031.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 960 0.09/0.31 % DateTime : Thu Jul 2 12:46:48 EDT 2020 0.16/0.31 % CPUTime : 0.76/1.13 ============================== Prover9 =============================== 0.76/1.13 Prover9 (32) version 2009-11A, November 2009. 0.76/1.13 Process 20211 was started by sandbox2 on n031.cluster.edu, 0.76/1.13 Thu Jul 2 12:46:48 2020 0.76/1.13 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_20038_n031.cluster.edu". 0.76/1.13 ============================== end of head =========================== 0.76/1.13 0.76/1.13 ============================== INPUT ================================= 0.76/1.13 0.76/1.13 % Reading from file /tmp/Prover9_20038_n031.cluster.edu 0.76/1.13 0.76/1.13 set(prolog_style_variables). 0.76/1.13 set(auto2). 0.76/1.13 % set(auto2) -> set(auto). 0.76/1.13 % set(auto) -> set(auto_inference). 0.76/1.13 % set(auto) -> set(auto_setup). 0.76/1.13 % set(auto_setup) -> set(predicate_elim). 0.76/1.13 % set(auto_setup) -> assign(eq_defs, unfold). 0.76/1.13 % set(auto) -> set(auto_limits). 0.76/1.13 % set(auto_limits) -> assign(max_weight, "100.000"). 0.76/1.13 % set(auto_limits) -> assign(sos_limit, 20000). 0.76/1.13 % set(auto) -> set(auto_denials). 0.76/1.13 % set(auto) -> set(auto_process). 0.76/1.13 % set(auto2) -> assign(new_constants, 1). 0.76/1.13 % set(auto2) -> assign(fold_denial_max, 3). 0.76/1.13 % set(auto2) -> assign(max_weight, "200.000"). 0.76/1.13 % set(auto2) -> assign(max_hours, 1). 0.76/1.13 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.76/1.13 % set(auto2) -> assign(max_seconds, 0). 0.76/1.13 % set(auto2) -> assign(max_minutes, 5). 0.76/1.13 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.76/1.13 % set(auto2) -> set(sort_initial_sos). 0.76/1.13 % set(auto2) -> assign(sos_limit, -1). 0.76/1.13 % set(auto2) -> assign(lrs_ticks, 3000). 0.76/1.13 % set(auto2) -> assign(max_megs, 400). 0.76/1.13 % set(auto2) -> assign(stats, some). 0.76/1.13 % set(auto2) -> clear(echo_input). 0.76/1.13 % set(auto2) -> set(quiet). 0.76/1.13 % set(auto2) -> clear(print_initial_clauses). 0.76/1.13 % set(auto2) -> clear(print_given). 0.76/1.13 assign(lrs_ticks,-1). 0.76/1.13 assign(sos_limit,10000). 0.76/1.13 assign(order,kbo). 0.76/1.13 set(lex_order_vars). 0.76/1.13 clear(print_given). 0.76/1.13 0.76/1.13 % formulas(sos). % not echoed (33 formulas) 0.76/1.13 0.76/1.13 ============================== end of input ========================== 0.76/1.13 0.76/1.13 % From the command line: assign(max_seconds, 960). 0.76/1.13 0.76/1.13 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.76/1.13 0.76/1.13 % Formulas that are not ordinary clauses: 0.76/1.13 1 (all Morphism all Dom all Cod (morphism(Morphism,Dom,Cod) & (all ElCod (element(ElCod,Cod) -> (exists ElDom (ElCod = apply(Morphism,ElDom) & element(ElDom,Dom))))) -> surjection(Morphism))) # label(properties_for_surjection) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 2 (all Morphism all Dom all Cod (morphism(Morphism,Dom,Cod) & (all El1 all El2 (element(El1,Dom) & element(El2,Dom) & apply(Morphism,El2) = apply(Morphism,El1) -> El2 = El1)) -> injection(Morphism))) # label(properties_for_injection) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 3 (all Morphism1 all Morphism2 all Dom all CodDom all Cod ((all ElCodDom (element(ElCodDom,CodDom) & apply(Morphism2,ElCodDom) = zero(Cod) <-> (exists ElDom (apply(Morphism1,ElDom) = ElCodDom & element(ElDom,Dom))))) & morphism(Morphism1,Dom,CodDom) & morphism(Morphism2,CodDom,Cod) -> exact(Morphism1,Morphism2))) # label(properties_for_exact) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 4 (all Morphism all Dom all Cod (morphism(Morphism,Dom,Cod) -> zero(Cod) = apply(Morphism,zero(Dom)) & (all El (element(El,Dom) -> element(apply(Morphism,El),Cod))))) # label(morphism) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 5 (all Dom all El1 all El2 (element(El1,Dom) & element(El2,Dom) -> El2 = subtract(Dom,El1,subtract(Dom,El1,El2)))) # label(subtract_cancellation) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 6 (all Morphism1 all Morphism2 all Dom all CodDom all Cod (morphism(Morphism2,CodDom,Cod) & morphism(Morphism1,Dom,CodDom) & exact(Morphism1,Morphism2) -> (all ElCodDom (zero(Cod) = apply(Morphism2,ElCodDom) & element(ElCodDom,CodDom) <-> (exists ElDom (ElCodDom = apply(Morphism1,ElDom) & element(ElDom,Dom))))))) # label(exact_properties) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 7 (all Morphism all Dom all Cod (morphism(Morphism,Dom,Cod) & surjection(Morphism) -> (all ElCod (element(ElCod,Cod) -> (exists ElDom (element(ElDom,Dom) & ElCod = apply(Morphism,ElDom))))))) # label(surjection_properties) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 8 (all M1 all M2 all M3 all M4 all Dom all DomCod1 all DomCod2 all Cod (morphism(M2,DomCod1,Cod) & morphism(M3,Dom,DomCod2) & commute(M1,M2,M3,M4) & morphism(M4,DomCod2,Cod) & morphism(M1,Dom,DomCod1) -> (all ElDom (element(ElDom,Dom) -> apply(M2,apply(M1,ElDom)) = apply(M4,apply(M3,ElDom)))))) # label(commute_properties) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 9 (all Dom all El1 all El2 (element(El1,Dom) & element(El2,Dom) -> element(subtract(Dom,El1,El2),Dom))) # label(subtract_in_domain) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 10 (all Morphism all Dom all Cod (morphism(Morphism,Dom,Cod) & injection(Morphism) -> (all El1 all El2 (element(El2,Dom) & apply(Morphism,El1) = apply(Morphism,El2) & element(El1,Dom) -> El2 = El1)))) # label(injection_properties) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 11 (all Morphism all Dom all Cod (morphism(Morphism,Dom,Cod) -> (all El1 all El2 (element(El1,Dom) & element(El2,Dom) -> subtract(Cod,apply(Morphism,El1),apply(Morphism,El2)) = apply(Morphism,subtract(Dom,El1,El2)))))) # label(subtract_distribution) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 12 (all M1 all M2 all M3 all M4 all Dom all DomCod1 all DomCod2 all Cod (morphism(M3,Dom,DomCod2) & morphism(M1,Dom,DomCod1) & morphism(M4,DomCod2,Cod) & (all ElDom (element(ElDom,Dom) -> apply(M4,apply(M3,ElDom)) = apply(M2,apply(M1,ElDom)))) & morphism(M2,DomCod1,Cod) -> commute(M1,M2,M3,M4))) # label(properties_for_commute) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 13 (all Dom all El (element(El,Dom) -> zero(Dom) = subtract(Dom,El,El))) # label(subtract_to_0) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 14 (all Morphism all Dom all Cod (morphism(Morphism,Dom,Cod) & injection(Morphism) -> (all El (element(El,Dom) & zero(Cod) = apply(Morphism,El) -> El = zero(Dom))))) # label(injection_properties_2) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 15 (all Morphism all Dom all Cod ((all El (element(El,Dom) & apply(Morphism,El) = zero(Cod) -> zero(Dom) = El)) & morphism(Morphism,Dom,Cod) -> injection(Morphism))) # label(properties_for_injection_2) # label(axiom) # label(non_clause). [assumption]. 0.76/1.13 0.76/1.13 ============================== end of process non-clausal formulas === 0.76/1.13 0.76/1.13 ============================== PROCESS INITIAL CLAUSES =============== 0.76/1.13 0.76/1.13 ============================== PREDICATE ELIMINATION ================= 0.76/1.13 16 -morphism(A,B,C) | -surjection(A) | -element(D,C) | element(f7(A,B,C,D),B) # label(surjection_properties) # label(axiom). [clausify(7)]. 0.76/1.13 17 surjection(beta) # label(beta_surjection) # label(axiom). [assumption]. 0.76/1.13 18 surjection(delta) # label(delta_surjection) # label(axiom). [assumption]. 0.76/1.13 19 -morphism(A,B,C) | element(f1(A,B,C),C) | surjection(A) # label(properties_for_surjection) # label(axiom). [clausify(1)]. 0.76/1.13 Derived: -morphism(beta,A,B) | -element(C,B) | element(f7(beta,A,B,C),A). [resolve(16,b,17,a)]. 0.76/1.13 Derived: -morphism(delta,A,B) | -element(C,B) | element(f7(delta,A,B,C),A). [resolve(16,b,18,a)]. 0.76/1.13 Derived: -morphism(A,B,C) | -element(D,C) | element(f7(A,B,C,D),B) | -morphism(A,E,F) | element(f1(A,E,F),F). [resolve(16,b,19,c)]. 0.76/1.13 20 -morphism(A,B,C) | apply(A,D) != f1(A,B,C) | -element(D,B) | surjection(A) # label(properties_for_surjection) # label(axiom). [clausify(1)]. 0.76/1.13 Derived: -morphism(A,B,C) | apply(A,D) != f1(A,B,C) | -element(D,B) | -morphism(A,E,F) | -element(V6,F) | element(f7(A,E,F,V6),E). [resolve(20,d,16,b)]. 0.76/1.13 21 -morphism(A,B,C) | -surjection(A) | -element(D,C) | apply(A,f7(A,B,C,D)) = D # label(surjection_properties) # label(axiom). [clausify(7)]. 0.76/1.13 Derived: -morphism(beta,A,B) | -element(C,B) | apply(beta,f7(beta,A,B,C)) = C. [resolve(21,b,17,a)]. 0.76/1.13 Derived: -morphism(delta,A,B) | -element(C,B) | apply(delta,f7(delta,A,B,C)) = C. [resolve(21,b,18,a)]. 0.76/1.13 Derived: -morphism(A,B,C) | -element(D,C) | apply(A,f7(A,B,C,D)) = D | -morphism(A,E,F) | element(f1(A,E,F),F). [resolve(21,b,19,c)]. 0.76/1.13 Derived: -morphism(A,B,C) | -element(D,C) | apply(A,f7(A,B,C,D)) = D | -morphism(A,E,F) | apply(A,V6) != f1(A,E,F) | -element(V6,E). [resolve(21,b,20,d)]. 0.76/1.13 22 -morphism(A,B,C) | -morphism(D,E,B) | -exact(D,A) | element(F,B) | apply(D,V6) != F | -element(V6,E) # label(exact_properties) # label(axiom). [clausify(6)]. 0.76/1.13 23 exact(alpha,beta) # label(alpha_beta_exact) # label(axiom). [assumption]. 0.76/1.13 24 exact(gammma,delta) # label(gamma_delta_exact) # label(axiom). [assumption]. 0.76/1.13 Derived: -morphism(beta,A,B) | -morphism(alpha,C,A) | element(D,A) | apply(alpha,E) != D | -element(E,C). [resolve(22,c,23,a)]. 0.76/1.13 Derived: -morphism(delta,A,B) | -morphism(gammma,C,A) | element(D,A) | apply(gammma,E) != D | -element(E,C). [resolve(22,c,24,a)]. 0.76/1.13 25 -morphism(A,B,C) | -morphism(D,E,B) | -exact(D,A) | zero(C) = apply(A,F) | apply(D,V6) != F | -element(V6,E) # label(exact_properties) # label(axiom). [clausify(6)]. 0.76/1.13 Derived: -morphism(beta,A,B) | -morphism(alpha,C,A) | zero(B) = apply(beta,D) | apply(alpha,E) != D | -element(E,C). [resolve(25,c,23,a)]. 0.76/1.13 Derived: -morphism(delta,A,B) | -morphism(gammma,C,A) | zero(B) = apply(delta,D) | apply(gammma,E) != D | -element(E,C). [resolve(25,c,24,a)]. 0.76/1.13 26 element(f4(A,B,C,D,E),D) | element(f5(A,B,C,D,E),C) | -morphism(A,C,D) | -morphism(B,D,E) | exact(A,B) # label(properties_for_exact) # label(axiom). [clausify(3)]. 0.76/1.13 Derived: element(f4(A,B,C,D,E),D) | element(f5(A,B,C,D,E),C) | -morphism(A,C,D) | -morphism(B,D,E) | -morphism(B,F,V6) | -morphism(A,V7,F) | element(V8,F) | apply(A,V9) != V8 | -element(V9,V7). [resolve(26,e,22,c)]. 0.76/1.13 Derived: element(f4(A,B,C,D,E),D) | element(f5(A,B,C,D,E),C) | -morphism(A,C,D) | -morphism(B,D,E) | -morphism(B,F,V6) | -morphism(A,V7,F) | zero(V6) = apply(B,V8) | apply(A,V9) != V8 | -element(V9,V7). [resolve(26,e,25,c)]. 0.76/1.13 27 -morphism(A,B,C) | -morphism(D,E,B) | -exact(D,A) | zero(C) != apply(A,F) | -element(F,B) | element(f6(D,A,E,B,C,F),E) # label(exact_properties) # label(axiom). [clausify(6)]. 0.76/1.13 Derived: -morphism(beta,A,B) | -morphism(alpha,C,A) | zero(B) != apply(beta,D) | -element(D,A) | element(f6(alpha,beta,C,A,B,D),C). [resolve(27,c,23,a)]. 0.76/1.13 Derived: -morphism(delta,A,B) | -morphism(gammma,C,A) | zero(B) != apply(delta,D) | -element(D,A) | element(f6(gammma,delta,C,A,B,D),C). [resolve(27,c,24,a)]. 0.76/1.13 Derived: -morphism(A,B,C) | -morphism(D,E,B) | zero(C) != apply(A,F) | -element(F,B) | element(f6(D,A,E,B,C,F),E) | element(f4(D,A,V6,V7,V8),V7) | element(f5(D,A,V6,V7,V8),V6) | -morphism(D,V6,V7) | -morphism(A,V7,V8). [resolve(27,c,26,e)]. 0.76/1.13 28 zero(A) = apply(B,f4(C,B,D,E,A)) | element(f5(C,B,D,E,A),D) | -morphism(C,D,E) | -morphism(B,E,A) | exact(C,B) # label(properties_for_exact) # label(axiom). [clausify(3)]. 0.76/1.13 Derived: zero(A) = apply(B,f4(C,B,D,E,A)) | element(f5(C,B,D,E,A),D) | -morphism(C,D,E) | -morphism(B,E,A) | -morphism(B,F,V6) | -morphism(C,V7,F) | element(V8,F) | apply(C,V9) != V8 | -element(V9,V7). [resolve(28,e,22,c)]. 0.76/1.13 Derived: zero(A) = apply(B,f4(C,B,D,E,A)) | element(f5(C,B,D,E,A),D) | -morphism(C,D,E) | -morphism(B,E,A) | -morphism(B,F,V6) | -morphism(C,V7,F) | zero(V6) = apply(B,V8) | apply(C,V9) != V8 | -element(V9,V7). [resolve(28,e,25,c)]. 0.76/1.13 Derived: zero(A) = apply(B,f4(C,B,D,E,A)) | element(f5(C,B,D,E,A),D) | -morphism(C,D,E) | -morphism(B,E,A) | -morphism(B,F,V6) | -morphism(C,V7,F) | zero(V6) != apply(B,V8) | -element(V8,F) | element(f6(C,B,V7,F,V6,V8),V7). [resolve(28,e,27,c)]. 0.76/1.13 29 -morphism(A,B,C) | -morphism(D,E,B) | -exact(D,A) | zero(C) != apply(A,F) | -element(F,B) | apply(D,f6(D,A,E,B,C,F)) = F # label(exact_properties) # label(axiom). [clausify(6)]. 0.76/1.13 Derived: -morphism(beta,A,B) | -morphism(alpha,C,A) | zero(B) != apply(beta,D) | -element(D,A) | apply(alpha,f6(alpha,beta,C,A,B,D)) = D. [resolve(29,c,23,a)]. 0.76/1.13 Derived: -morphism(delta,A,B) | -morphism(gammma,C,A) | zero(B) != apply(delta,D) | -element(D,A) | apply(gammma,f6(gammma,delta,C,A,B,D)) = D. [resolve(29,c,24,a)]. 0.76/1.13 Derived: -morphism(A,B,C) | -morphism(D,E,B) | zero(C) != apply(A,F) | -element(F,B) | apply(D,f6(D,A,E,B,C,F)) = F | element(f4(D,A,V6,V7,V8),V7) | element(f5(D,A,V6,V7,V8),V6) | -morphism(D,V6,V7) | -morphism(A,V7,V8). [resolve(29,c,26,e)]. 0.76/1.13 Derived: -morphism(A,B,C) | -morphism(D,E,B) | zero(C) != apply(A,F) | -element(F,B) | apply(D,f6(D,A,E,B,C,F)) = F | zero(V6) = apply(A,f4(D,A,V7,V8,V6)) | element(f5(D,A,V7,V8,V6),V7) | -morphism(D,V7,V8) | -morphism(A,V8,V6). [resolve(29,c,28,e)]. 0.76/1.13 30 element(f4(A,B,C,D,E),D) | apply(A,f5(A,B,C,D,E)) = f4(A,B,C,D,E) | -morphism(A,C,D) | -morphism(B,D,E) | exact(A,B) # label(properties_for_exact) # label(axiom). [clausify(3)]. 0.76/1.13 Derived: element(f4(A,B,C,D,E),D) | apply(A,f5(A,B,C,D,E)) = f4(A,B,C,D,E) | -morphism(A,C,D) | -morphism(B,D,E) | -morphism(B,F,V6) | -morphism(A,V7,F) | element(V8,F) | apply(A,V9) != V8 | -element(V9,V7). [resolve(30,e,22,c)]. 0.76/1.13 Derived: element(f4(A,B,C,D,E),D) | apply(A,f5(A,B,C,D,E)) = f4(A,B,C,D,E) | -morphism(A,C,D) | -morphism(B,D,E) | -morphism(B,F,V6) | -morphism(A,V7,F) | zero(V6) = apply(B,V8) | apply(A,V9) != V8 | -element(V9,V7). [resolve(30,e,25,c)]. 0.76/1.13 Derived: element(f4(A,B,C,D,E),D) | apply(A,f5(A,B,C,D,E)) = f4(A,B,C,D,E) | -morphism(A,C,D) | -morphism(B,D,E) | -morphism(B,F,V6) | -morphism(A,V7,F) | zero(V6) != apply(B,V8) | -element(V8,F) | element(f6(A,B,V7,F,V6,V8),V7). [resolve(30,e,27,c)]. 0.76/1.13 Derived: element(f4(A,B,C,D,E),D) | apply(A,f5(A,B,C,D,E)) = f4(A,B,C,D,E) | -morphism(A,C,D) | -morphism(B,D,E) | -morphism(B,F,V6) | -morphism(A,V7,F) | zero(V6) != apply(B,V8) | -element(V8,F) | apply(A,f6(A,B,V7,F,V6,V8)) = V8. [resolve(30,e,29,c)]. 0.76/1.13 31 zero(A) = apply(B,f4(C,B,D,E,A)) | apply(C,f5(C,B,D,E,A)) = f4(C,B,D,E,A) | -morphism(C,D,E) | -morphism(B,E,A) | exact(C,B) # label(properties_for_exact) # label(axiom). [clausify(3)]. 0.76/1.13 Derived: zero(A) = apply(B,f4(C,B,D,E,A)) | apply(C,f5(C,B,D,E,A)) = f4(C,B,D,E,A) | -morphism(C,D,E) | -morphism(B,E,A) | -morphism(B,F,V6) | -morphism(C,V7,F) | element(V8,F) | apply(C,V9) != V8 | -element(V9,V7). [resolve(31,e,22,c)]. 0.76/1.13 Derived: zero(A) = apply(B,f4(C,B,D,E,A)) | apply(C,f5(C,B,D,E,A)) = f4(C,B,D,E,A) | -morphism(C,D,E) | -morphism(B,E,A) | -morphism(B,F,V6) | -morphism(C,V7,F) | zero(V6) = apply(B,V8) | apply(C,V9) != V8 | -element(V9,V7). [resolve(31,e,25,c)]. 0.76/1.13 Derived: zero(A) = apply(B,f4(C,B,D,E,A)) | apply(C,f5(C,B,D,E,A)) = f4(C,B,D,E,A) | -morphism(C,D,E) | -morphism(B,E,A) | -morphism(B,F,V6) | -morphism(C,V7,F) | zero(V6) != apply(B,V8) | -element(V8,F) | element(f6(C,B,V7,F,V6,V8),V7). [resolve(31,e,27,c)]. 0.76/1.13 Derived: zero(A) = apply(B,f4(C,B,D,E,A)) | apply(C,f5(C,B,D,E,A)) = f4(C,B,D,E,A) | -morphism(C,D,E) | -morphism(B,E,A) | -morphism(B,F,V6) | -morphism(C,V7,F) | zero(V6) != apply(B,V8) | -element(V8,F) | apply(C,f6(C,B,V7,F,V6,V8)) = V8. [resolve(31,e,29,c)]. 0.76/1.13 32 -element(f4(A,B,C,D,E),D) | zero(E) != apply(B,f4(A,B,C,D,E)) | apply(A,F) != f4(A,B,C,D,E) | -element(F,C) | -morphism(A,C,D) | -morphism(B,D,E) | exact(A,B) # label(properties_for_exact) # label(axiom). [clausify(3)]. 0.76/1.13 Derived: -element(f4(A,B,C,D,E),D) | zero(E) != apply(B,f4(A,B,C,D,E)) | apply(A,F) != f4(A,B,C,D,E) | -element(F,C) | -morphism(A,C,D) | -morphism(B,D,E) | -morphism(B,V6,V7) | -morphism(A,V8,V6) | element(V9,V6) | apply(A,V10) != V9 | -element(V10,V8). [resolve(32,g,22,c)]. 0.76/1.13 Derived: -element(f4(A,B,C,D,E),D) | zero(E) != apply(B,f4(A,B,C,D,E)) | apply(A,F) != f4(A,B,C,D,E) | -element(F,C) | -morphism(A,C,D) | -morphism(B,D,E) | -morphism(B,V6,V7) | -morphism(A,V8,V6) | zero(V7) = apply(B,V9) | apply(A,V10) != V9 | -element(V10,V8). [resolve(32,g,25,c)]. 0.76/1.13 Derived: -element(f4(A,B,C,D,E),D) | zero(E) != apply(B,f4(A,B,C,D,E)) | apply(A,F) != f4(A,B,C,D,E) | -element(F,C) | -morphism(A,C,D) | -morphism(B,D,E) | -morphism(B,V6,V7) | -morphism(A,V8,V6) | zero(V7) != apply(B,V9) | -element(V9,V6) | element(f6(A,B,V8,V6,V7,V9),V8). [resolve(32,g,27,c)]. 0.76/1.13 Derived: -element(f4(A,B,C,D,E),D) | zero(E) != apply(B,f4(A,B,C,D,E)) | apply(A,F) != f4(A,B,C,D,E) | -element(F,C) | -morphism(A,C,D) | -morphism(B,D,E) | -morphism(B,V6,V7) | -morphism(A,V8,V6) | zero(V7) != apply(B,V9) | -element(V9,V6) | apply(A,f6(A,B,V8,V6,V7,V9)) = V9. [resolve(32,g,29,c)]. 0.76/1.13 33 -morphism(A,B,C) | -morphism(D,E,F) | -commute(V6,A,D,V7) | -morphism(V7,F,C) | -morphismAlarm clock 119.70/120.05 Prover9 interrupted 119.70/120.05 EOF