%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP022+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 : n019.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 09:15:45 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TOP022+1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:17:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.alpha_hat (-> $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.first_homotop_grp (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.path_connected (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.a_member_of (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.a_path_from_to_in (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.isomorphic_groups (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.a_group_isomorphism_from_to (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.56 (define @t3 () (@var "F" $$unsorted)) % 0.36/0.56 (define @t4 () (tptp.a_group_isomorphism_from_to @t3 @t2 @t1)) % 0.36/0.56 (define @t5 () (@list @t3)) % 0.36/0.56 (define @t6 () (exists @t5 @t4)) % 0.36/0.56 (define @t7 () (tptp.isomorphic_groups @t2 @t1)) % 0.36/0.56 (define @t8 () (= @t7 @t6)) % 0.36/0.56 (define @t9 () (forall (@list @t2 @t1) @t8)) % 0.36/0.56 (define @t10 () (@var "X" $$unsorted)) % 0.36/0.56 (define @t11 () (@var "X1" $$unsorted)) % 0.36/0.56 (define @t12 () (@var "X0" $$unsorted)) % 0.36/0.56 (define @t13 () (@var "P" $$unsorted)) % 0.36/0.56 (define @t14 () (tptp.a_path_from_to_in @t13 @t12 @t11 @t10)) % 0.36/0.56 (define @t15 () (@list @t13)) % 0.36/0.56 (define @t16 () (exists @t15 @t14)) % 0.36/0.56 (define @t17 () (tptp.a_member_of @t11 @t10)) % 0.36/0.56 (define @t18 () (tptp.a_member_of @t12 @t10)) % 0.36/0.56 (define @t19 () (and @t18 @t17)) % 0.36/0.56 (define @t20 () (=> @t19 @t16)) % 0.36/0.56 (define @t21 () (tptp.path_connected @t10)) % 0.36/0.56 (define @t22 () (= @t21 @t20)) % 0.36/0.56 (define @t23 () (@list @t10 @t12 @t11)) % 0.36/0.56 (define @t24 () (forall @t23 @t22)) % 0.36/0.56 (define @t25 () (tptp.first_homotop_grp @t10 @t11)) % 0.36/0.56 (define @t26 () (tptp.first_homotop_grp @t10 @t12)) % 0.36/0.56 (define @t27 () (tptp.a_group_isomorphism_from_to (tptp.alpha_hat @t2) @t26 @t25)) % 0.36/0.56 (define @t28 () (tptp.a_path_from_to_in @t2 @t12 @t11 @t10)) % 0.36/0.56 (define @t29 () (forall (@list @t2 @t12 @t11 @t10) (=> @t28 @t27))) % 0.36/0.56 (define @t30 () (tptp.isomorphic_groups @t26 @t25)) % 0.36/0.56 (define @t31 () (and @t21 @t18 @t17)) % 0.36/0.56 (define @t32 () (forall @t23 (=> @t31 @t30))) % 0.36/0.56 (define @t33 () (not @t32)) % 0.36/0.56 (define @t34 () (not @t17)) % 0.36/0.56 (define @t35 () (not @t18)) % 0.36/0.56 (define @t36 () (not @t21)) % 0.36/0.56 (define @t37 () (or @t36 @t35 @t34 @t30)) % 0.36/0.56 (define @t38 () (forall @t23 @t37)) % 0.36/0.56 (define @t39 () (@quantifiers_skolemize @t38 2)) % 0.36/0.56 (define @t40 () (@quantifiers_skolemize @t38 0)) % 0.36/0.56 (define @t41 () (tptp.first_homotop_grp @t40 @t39)) % 0.36/0.56 (define @t42 () (@quantifiers_skolemize @t38 1)) % 0.36/0.56 (define @t43 () (tptp.first_homotop_grp @t40 @t42)) % 0.36/0.56 (define @t44 () (or @t36 @t35 @t34)) % 0.36/0.56 (define @t45 () (or @t35 @t34)) % 0.36/0.56 (define @t46 () (not @t19)) % 0.36/0.56 (define @t47 () (tptp.isomorphic_groups @t43 @t41)) % 0.36/0.56 (define @t48 () (tptp.a_member_of @t39 @t40)) % 0.36/0.56 (define @t49 () (not @t48)) % 0.36/0.56 (define @t50 () (tptp.a_member_of @t42 @t40)) % 0.36/0.56 (define @t51 () (not @t50)) % 0.36/0.56 (define @t52 () (tptp.path_connected @t40)) % 0.36/0.56 (define @t53 () (not @t52)) % 0.36/0.56 (define @t54 () (or @t53 @t51 @t49 @t47)) % 0.36/0.56 (define @t55 () (@list true)) % 0.36/0.56 (define @t56 () (@list @t54)) % 0.36/0.56 (define @t57 () (forall @t5 (not (tptp.a_group_isomorphism_from_to @t3 @t43 @t41)))) % 0.36/0.56 (define @t58 () (not @t57)) % 0.36/0.56 (define @t59 () (= @t47 @t58)) % 0.36/0.56 (define @t60 () (not @t59)) % 0.36/0.56 (define @t61 () (forall @t15 (not (tptp.a_path_from_to_in @t13 @t42 @t39 @t40)))) % 0.36/0.56 (define @t62 () (@quantifiers_skolemize @t61 0)) % 0.36/0.56 (define @t63 () (not (forall @t15 (not @t14)))) % 0.36/0.56 (define @t64 () (= @t21 (=> @t19 @t63))) % 0.36/0.56 (define @t65 () (not @t61)) % 0.36/0.56 (define @t66 () (or @t51 @t49 @t65)) % 0.36/0.56 (define @t67 () (= @t52 @t66)) % 0.36/0.56 (define @t68 () (@list false false)) % 0.36/0.56 (define @t69 () (tptp.a_path_from_to_in @t62 @t42 @t39 @t40)) % 0.36/0.56 (define @t70 () (not @t69)) % 0.36/0.56 (define @t71 () (not @t70)) % 0.36/0.56 (define @t72 () (tptp.alpha_hat @t62)) % 0.36/0.56 (define @t73 () (tptp.a_group_isomorphism_from_to @t72 @t43 @t41)) % 0.36/0.56 (define @t74 () (or @t70 @t73)) % 0.36/0.56 (assume @p1 @t9) % 0.36/0.56 (assume @p2 @t24) % 0.36/0.56 (assume @p3 @t29) % 0.36/0.56 (assume @p4 @t33) % 0.36/0.56 (assume @p5 true) % 0.36/0.56 (step @p6 :rule exists-elim :args ((= @t6 (not (forall @t5 (not @t4)))))) % 0.36/0.56 (step @p7 :rule refl :args (@t7)) % 0.36/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args (@t8)) % 0.36/0.56 (step @p9 :rule cong :premises (@p8) :args (@t9)) % 0.36/0.56 (step @p10 :rule eq_resolve :premises (@p1 @p9)) % 0.36/0.56 (step @p11 :rule instantiate :premises (@p10) :args ((@list @t43 @t41))) % 0.36/0.56 (step @p12 :rule aci_norm :args ((= (or @t44 @t30) @t37))) % 0.36/0.56 (step @p13 :rule refl :args (@t30)) % 0.36/0.56 (step @p14 :rule aci_norm :args ((= (or @t36 @t45) @t44))) % 0.36/0.56 (step @p15 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.36/0.56 (step @p16 :rule refl :args (@t36)) % 0.36/0.56 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t36 @t46))) % 0.36/0.56 (step @p18 :rule bool-and-de-morgan :args (@t21 @t18 (and @t17))) % 0.36/0.56 (step @p19 :rule trans :premises (@p18 @p17)) % 0.36/0.56 (step @p20 :rule trans :premises (@p19 @p14)) % 0.36/0.56 (step @p21 :rule nary_cong :premises (@p20 @p13) :args ((or (not @t31) @t30))) % 0.36/0.56 (step @p22 :rule trans :premises (@p21 @p12)) % 0.36/0.56 (step @p23 :rule bool-impl-elim :args (@t31 @t30)) % 0.36/0.56 (step @p24 :rule trans :premises (@p23 @p22)) % 0.36/0.56 (step @p25 :rule cong :premises (@p24) :args (@t32)) % 0.36/0.56 (step @p26 :rule cong :premises (@p25) :args (@t33)) % 0.36/0.56 (step @p27 :rule eq_resolve :premises (@p4 @p26)) % 0.36/0.56 (step @p28 :rule skolemize :premises (@p27)) % 0.36/0.56 (step @p29 :rule cnf_or_neg :args (@t54 3)) % 0.36/0.56 (step @p30 :rule chain_m_resolution :premises (@p29 @p28) :args ((not @t47) @t55 @t56)) % 0.36/0.56 (step @p31 :rule bool-double-not-elim :args (@t57)) % 0.36/0.56 (step @p32 :rule refl :args (@t47)) % 0.36/0.56 (step @p33 :rule refl :args (@t60)) % 0.36/0.56 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args ((or @t60 @t47 (not @t58)))) % 0.36/0.56 (step @p35 :rule cnf_equiv_pos2 :args (@t59)) % 0.36/0.56 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.36/0.56 (step @p37 :rule reordering :premises (@p36) :args ((or @t47 @t57 @t60))) % 0.36/0.56 (step @p38 :rule chain_m_resolution :premises (@p37 @p30 @p11) :args (@t57 (@list true false) (@list @t47 @t59))) % 0.36/0.56 (step @p39 :rule bool-impl-elim :args (@t28 @t27)) % 0.36/0.56 (step @p40 :rule cong :premises (@p39) :args (@t29)) % 0.36/0.56 (step @p41 :rule eq_resolve :premises (@p3 @p40)) % 0.36/0.56 (step @p42 :rule instantiate :premises (@p41) :args ((@list @t62 @t42 @t39 @t40))) % 0.36/0.56 (step @p43 :rule aci_norm :args ((= (or @t45 @t63) (or @t35 @t34 @t63)))) % 0.36/0.56 (step @p44 :rule refl :args (@t63)) % 0.36/0.56 (step @p45 :rule nary_cong :premises (@p15 @p44) :args ((or @t46 @t63))) % 0.36/0.56 (step @p46 :rule trans :premises (@p45 @p43)) % 0.36/0.56 (step @p47 :rule bool-impl-elim :args (@t19 @t63)) % 0.36/0.56 (step @p48 :rule trans :premises (@p47 @p46)) % 0.36/0.56 (step @p49 :rule refl :args (@t21)) % 0.36/0.56 (step @p50 :rule cong :premises (@p49 @p48) :args (@t64)) % 0.36/0.56 (step @p51 :rule cong :premises (@p50) :args ((forall @t23 @t64))) % 0.36/0.56 (step @p52 :rule exists-elim :args ((= @t16 @t63))) % 0.36/0.56 (step @p53 :rule refl :args (@t19)) % 0.36/0.56 (step @p54 :rule cong :premises (@p53 @p52) :args (@t20)) % 0.36/0.56 (step @p55 :rule refl :args (@t21)) % 0.36/0.56 (step @p56 :rule cong :premises (@p55 @p54) :args (@t22)) % 0.36/0.56 (step @p57 :rule cong :premises (@p56) :args (@t24)) % 0.36/0.56 (step @p58 :rule trans :premises (@p57 @p51)) % 0.36/0.56 (step @p59 :rule eq_resolve :premises (@p2 @p58)) % 0.36/0.56 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t40 @t42 @t39))) % 0.36/0.56 (step @p61 :rule bool-double-not-elim :args (@t52)) % 0.36/0.56 (step @p62 :rule refl :args (@t54)) % 0.36/0.56 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t54 (not @t53)))) % 0.36/0.56 (step @p64 :rule cnf_or_neg :args (@t54 0)) % 0.36/0.56 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.36/0.56 (step @p66 :rule reordering :premises (@p65) :args ((or @t52 @t54))) % 0.36/0.56 (step @p67 :rule chain_m_resolution :premises (@p66 @p28) :args (@t52 @t55 @t56)) % 0.36/0.56 (step @p68 :rule cnf_equiv_pos1 :args (@t67)) % 0.36/0.56 (step @p69 :rule reordering :premises (@p68) :args ((or @t53 @t66 (not @t67)))) % 0.36/0.56 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p60) :args (@t66 @t68 (@list @t52 @t67))) % 0.36/0.56 (step @p71 :rule bool-double-not-elim :args (@t48)) % 0.36/0.56 (step @p72 :rule nary_cong :premises (@p62 @p71) :args ((or @t54 (not @t49)))) % 0.36/0.56 (step @p73 :rule cnf_or_neg :args (@t54 2)) % 0.36/0.56 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.36/0.56 (step @p75 :rule reordering :premises (@p74) :args ((or @t48 @t54))) % 0.36/0.56 (step @p76 :rule chain_m_resolution :premises (@p75 @p28) :args (@t48 @t55 @t56)) % 0.36/0.56 (step @p77 :rule bool-double-not-elim :args (@t50)) % 0.36/0.56 (step @p78 :rule nary_cong :premises (@p62 @p77) :args ((or @t54 (not @t51)))) % 0.36/0.56 (step @p79 :rule cnf_or_neg :args (@t54 1)) % 0.36/0.56 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.36/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t50 @t54))) % 0.36/0.56 (step @p82 :rule chain_m_resolution :premises (@p81 @p28) :args (@t50 @t55 @t56)) % 0.36/0.56 (step @p83 :rule cnf_or_pos :args (@t66)) % 0.36/0.56 (step @p84 :rule reordering :premises (@p83) :args ((or @t51 @t49 @t65 (not @t66)))) % 0.36/0.56 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p76 @p70) :args (@t65 (@list false false false) (@list @t50 @t48 @t66))) % 0.36/0.56 (step @p86 :rule refl :args (@t69)) % 0.36/0.56 (step @p87 :rule bool-double-not-elim :args (@t61)) % 0.36/0.56 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t65) @t69))) % 0.36/0.56 (step @p89 :rule bool-double-not-elim :args (@t69)) % 0.36/0.56 (step @p90 :rule refl :args (@t65)) % 0.36/0.56 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t65 @t71))) % 0.36/0.56 (assume-push @p109 @t65) % 0.36/0.56 (step @p93 :rule skolemize :premises (@p85)) % 0.36/0.56 (step-pop @p110 :rule scope :premises (@p93)) % 0.36/0.56 (step @p94 :rule process_scope :premises (@p110) :args (@t71)) % 0.36/0.56 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.36/0.56 (step @p97 :rule implies_elim :premises (@p96)) % 0.36/0.56 (step @p98 :rule eq_resolve :premises (@p97 @p88)) % 0.36/0.56 (step @p99 :rule chain_m_resolution :premises (@p98 @p85) :args (@t69 @t55 (@list @t61))) % 0.36/0.56 (step @p100 :rule cnf_or_pos :args (@t74)) % 0.36/0.56 (step @p101 :rule reordering :premises (@p100) :args ((or @t70 @t73 (not @t74)))) % 0.36/0.56 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p42) :args (@t73 @t68 (@list @t69 @t74))) % 0.36/0.56 (assume-push @p111 @t57) % 0.36/0.56 (step @p104 :rule instantiate :premises (@p38) :args ((@list @t72))) % 0.36/0.56 (step-pop @p112 :rule scope :premises (@p104)) % 0.36/0.56 (step @p105 :rule process_scope :premises (@p112) :args ((not @t73))) % 0.36/0.56 (step @p107 :rule implies_elim :premises (@p105)) % 0.36/0.56 (step @p108 false :rule chain_m_resolution :premises (@p107 @p102 @p38) :args (false @t68 (@list @t73 @t57))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------