%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP021+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 Jun 3 09:15:44 AM UTC 2026 % Result : Theorem 0.34s 0.58s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : TOP021+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n028.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 01:17:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.58 % SZS status Theorem % 0.34/0.58 % SZS output start Proof % 0.34/0.58 ( % 0.34/0.58 (declare-sort $$unsorted 0) % 0.34/0.58 (declare-const tptp.an_open_function_from_onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.58 (declare-const tptp.a_locally_compact_top_space (-> $$unsorted Bool)) % 0.34/0.58 (declare-const tptp.a_continuous_function_from_onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.58 (declare-const tptp.the_projection_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.58 (declare-const tptp.the_product_top_space_over (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.58 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.34/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.34/0.58 (define @t3 () (@var "A1" $$unsorted)) % 0.34/0.58 (define @t4 () (tptp.the_projection_function @t1 @t2 @t3)) % 0.34/0.58 (define @t5 () (@var "X1" $$unsorted)) % 0.34/0.58 (define @t6 () (tptp.apply @t5 @t1)) % 0.34/0.58 (define @t7 () (tptp.the_product_top_space_over @t5 @t3)) % 0.34/0.58 (define @t8 () (@var "B" $$unsorted)) % 0.34/0.58 (define @t9 () (tptp.a_locally_compact_top_space @t8)) % 0.34/0.58 (define @t10 () (tptp.a_locally_compact_top_space @t1)) % 0.34/0.58 (define @t11 () (@var "F" $$unsorted)) % 0.34/0.58 (define @t12 () (tptp.a_continuous_function_from_onto @t11 @t1 @t8)) % 0.34/0.58 (define @t13 () (tptp.an_open_function_from_onto @t11 @t1 @t8)) % 0.34/0.58 (define @t14 () (and @t13 @t12 @t10)) % 0.34/0.58 (define @t15 () (@list @t11 @t1 @t8)) % 0.34/0.58 (define @t16 () (forall @t15 (=> @t14 @t9))) % 0.34/0.58 (define @t17 () (forall (@list @t1) (tptp.a_locally_compact_top_space @t6))) % 0.34/0.58 (define @t18 () (tptp.a_locally_compact_top_space @t7)) % 0.34/0.58 (define @t19 () (@list @t5 @t3)) % 0.34/0.58 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.34/0.58 (define @t21 () (not @t20)) % 0.34/0.58 (define @t22 () (not @t10)) % 0.34/0.58 (define @t23 () (not @t12)) % 0.34/0.58 (define @t24 () (not @t13)) % 0.34/0.58 (define @t25 () (or @t24 @t23 @t22 @t9)) % 0.34/0.58 (define @t26 () (or @t24 @t23 @t22)) % 0.34/0.58 (define @t27 () (@var "BOUND_VARIABLE_7461" $$unsorted)) % 0.34/0.58 (define @t28 () (tptp.a_locally_compact_top_space (tptp.apply @t5 @t27))) % 0.34/0.58 (define @t29 () (not @t18)) % 0.34/0.58 (define @t30 () (or @t29 @t28)) % 0.34/0.58 (define @t31 () (forall (@list @t5 @t3 @t27) @t30)) % 0.34/0.58 (define @t32 () (@quantifiers_skolemize @t31 0)) % 0.34/0.58 (define @t33 () (@quantifiers_skolemize @t31 1)) % 0.34/0.58 (define @t34 () (@quantifiers_skolemize @t31 2)) % 0.34/0.58 (define @t35 () (@list @t27)) % 0.34/0.58 (define @t36 () (forall @t35 @t30)) % 0.34/0.58 (define @t37 () (forall @t35 @t28)) % 0.34/0.58 (define @t38 () (or @t29 @t37)) % 0.34/0.58 (define @t39 () (tptp.apply @t32 @t34)) % 0.34/0.58 (define @t40 () (tptp.a_locally_compact_top_space @t39)) % 0.34/0.58 (define @t41 () (tptp.the_product_top_space_over @t32 @t33)) % 0.34/0.58 (define @t42 () (tptp.a_locally_compact_top_space @t41)) % 0.34/0.58 (define @t43 () (not @t42)) % 0.34/0.58 (define @t44 () (or @t43 @t40)) % 0.34/0.58 (define @t45 () (@list true)) % 0.34/0.58 (define @t46 () (@list @t44)) % 0.34/0.58 (define @t47 () (tptp.the_projection_function @t34 @t32 @t33)) % 0.34/0.58 (define @t48 () (tptp.a_continuous_function_from_onto @t47 @t41 @t39)) % 0.34/0.58 (define @t49 () (not @t48)) % 0.34/0.58 (define @t50 () (tptp.an_open_function_from_onto @t47 @t41 @t39)) % 0.34/0.58 (define @t51 () (not @t50)) % 0.34/0.58 (define @t52 () (or @t51 @t49 @t43 @t40)) % 0.34/0.58 (define @t53 () (not @t52)) % 0.34/0.58 (define @t54 () (forall @t15 @t25)) % 0.34/0.58 (assume @p1 (forall (@list @t1 @t2 @t3) (tptp.a_continuous_function_from_onto @t4 (tptp.the_product_top_space_over @t2 @t3) (tptp.apply @t2 @t1)))) % 0.34/0.58 (assume @p2 (forall (@list @t1 @t2 @t3 @t5) (tptp.an_open_function_from_onto @t4 @t7 @t6))) % 0.34/0.58 (assume @p3 @t16) % 0.34/0.58 (assume @p4 @t21) % 0.34/0.58 (assume @p5 true) % 0.34/0.58 (step @p6 :rule aci_norm :args ((= (or @t26 @t9) @t25))) % 0.34/0.58 (step @p7 :rule refl :args (@t9)) % 0.34/0.58 (step @p8 :rule aci_norm :args ((= (or @t24 (or @t23 @t22)) @t26))) % 0.34/0.58 (step @p9 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 0.34/0.58 (step @p10 :rule refl :args (@t24)) % 0.34/0.58 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t24 (not (and @t12 @t10))))) % 0.34/0.58 (step @p12 :rule bool-and-de-morgan :args (@t13 @t12 (and @t10))) % 0.34/0.58 (step @p13 :rule trans :premises (@p12 @p11)) % 0.34/0.58 (step @p14 :rule trans :premises (@p13 @p8)) % 0.34/0.58 (step @p15 :rule nary_cong :premises (@p14 @p7) :args ((or (not @t14) @t9))) % 0.34/0.58 (step @p16 :rule trans :premises (@p15 @p6)) % 0.34/0.58 (step @p17 :rule bool-impl-elim :args (@t14 @t9)) % 0.34/0.58 (step @p18 :rule trans :premises (@p17 @p16)) % 0.34/0.58 (step @p19 :rule cong :premises (@p18) :args (@t16)) % 0.34/0.58 (step @p20 :rule eq_resolve :premises (@p3 @p19)) % 0.34/0.58 (step @p21 :rule instantiate :premises (@p2) :args ((@list @t34 @t32 @t33 @t32))) % 0.34/0.58 (step @p22 :rule instantiate :premises (@p1) :args ((@list @t34 @t32 @t33))) % 0.34/0.58 (step @p23 :rule quant-merge-prenex :args ((= (forall @t19 @t36) @t31))) % 0.34/0.58 (step @p24 :rule alpha_equiv :args (@t37 (@list @t27) (@list @t1))) % 0.34/0.58 (step @p25 :rule refl :args (@t29)) % 0.34/0.58 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t38)) % 0.34/0.58 (step @p27 :rule quant-miniscope-or :args ((= @t36 @t38))) % 0.34/0.58 (step @p28 :rule trans :premises (@p27 @p26)) % 0.34/0.58 (step @p29 :rule symm :premises (@p28)) % 0.34/0.58 (step @p30 :rule cong :premises (@p29) :args ((forall @t19 (or @t29 @t17)))) % 0.34/0.58 (step @p31 :rule trans :premises (@p30 @p23)) % 0.34/0.58 (step @p32 :rule bool-impl-elim :args (@t18 @t17)) % 0.34/0.58 (step @p33 :rule cong :premises (@p32) :args (@t20)) % 0.34/0.58 (step @p34 :rule trans :premises (@p33 @p31)) % 0.34/0.58 (step @p35 :rule cong :premises (@p34) :args (@t21)) % 0.34/0.58 (step @p36 :rule eq_resolve :premises (@p4 @p35)) % 0.34/0.58 (step @p37 :rule skolemize :premises (@p36)) % 0.34/0.58 (step @p38 :rule cnf_or_neg :args (@t44 1)) % 0.34/0.58 (step @p39 :rule chain_m_resolution :premises (@p38 @p37) :args ((not @t40) @t45 @t46)) % 0.34/0.58 (step @p40 :rule bool-double-not-elim :args (@t42)) % 0.34/0.58 (step @p41 :rule refl :args (@t44)) % 0.34/0.58 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t44 (not @t43)))) % 0.34/0.58 (step @p43 :rule cnf_or_neg :args (@t44 0)) % 0.34/0.58 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.34/0.58 (step @p45 :rule reordering :premises (@p44) :args ((or @t42 @t44))) % 0.34/0.58 (step @p46 :rule chain_m_resolution :premises (@p45 @p37) :args (@t42 @t45 @t46)) % 0.34/0.58 (step @p47 :rule cnf_or_pos :args (@t52)) % 0.34/0.58 (step @p48 :rule reordering :premises (@p47) :args ((or @t43 @t40 @t49 @t51 @t53))) % 0.34/0.58 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p39 @p22 @p21) :args (@t53 (@list false true false false) (@list @t42 @t40 @t48 @t50))) % 0.34/0.58 (assume-push @p56 @t54) % 0.34/0.58 (step @p51 :rule instantiate :premises (@p20) :args ((@list @t47 @t41 @t39))) % 0.34/0.58 (step-pop @p57 :rule scope :premises (@p51)) % 0.34/0.58 (step @p52 :rule process_scope :premises (@p57) :args (@t52)) % 0.34/0.58 (step @p54 :rule implies_elim :premises (@p52)) % 0.34/0.58 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p20) :args (false (@list true false) (@list @t52 @t54))) % 0.34/0.58 ) % 0.34/0.58 % SZS output end Proof % 0.34/0.58 % cvc5 exiting %------------------------------------------------------------------------------