%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO890_16 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 09:13:42 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO890_16 : TPTP v9.2.1. Released v8.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n015.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 01:09:04 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort |tptp.'$ki_world'| 0) % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.e (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.31/0.55 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.31/0.55 (declare-const tptp.f (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.31/0.55 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.31/0.55 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.31/0.55 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.31/0.55 (define @t2 () (@list @t1)) % 0.31/0.55 (define @t3 () (@var "U" |tptp.'$ki_world'|)) % 0.31/0.55 (define @t4 () (@var "V" |tptp.'$ki_world'|)) % 0.31/0.55 (define @t5 () (|tptp.'$ki_accessible'| @t1 @t4)) % 0.31/0.55 (define @t6 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t7 () (|tptp.'$ki_exists_in_world_$i'| @t4 @t6)) % 0.31/0.55 (define @t8 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t6)) % 0.31/0.55 (define @t9 () (and @t8 @t5)) % 0.31/0.55 (define @t10 () (forall (@list @t1 @t4 @t6) (=> @t9 @t7))) % 0.31/0.55 (define @t11 () (@list @t6)) % 0.31/0.55 (define @t12 () (tptp.f @t1 @t6)) % 0.31/0.55 (define @t13 () (and @t8 @t12)) % 0.31/0.55 (define @t14 () (exists @t11 @t13)) % 0.31/0.55 (define @t15 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 0.31/0.55 (define @t16 () (=> @t15 @t14)) % 0.31/0.55 (define @t17 () (forall @t2 @t16)) % 0.31/0.55 (define @t18 () (and (tptp.e @t1 @t6) @t12)) % 0.31/0.55 (define @t19 () (forall @t2 (=> @t15 @t18))) % 0.31/0.55 (define @t20 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t6)) % 0.31/0.55 (define @t21 () (and @t20 @t19)) % 0.31/0.55 (define @t22 () (exists @t11 @t21)) % 0.31/0.55 (define @t23 () (=> @t22 @t17)) % 0.31/0.55 (define @t24 () (not @t23)) % 0.31/0.55 (define @t25 () (not @t8)) % 0.31/0.55 (define @t26 () (not (forall @t11 (or @t25 (not @t12))))) % 0.31/0.55 (define @t27 () (forall @t11 (not @t13))) % 0.31/0.55 (define @t28 () (not @t27)) % 0.31/0.55 (define @t29 () (not @t15)) % 0.31/0.55 (define @t30 () (forall @t2 (or @t29 @t18))) % 0.31/0.55 (define @t31 () (and @t20 @t30)) % 0.31/0.55 (define @t32 () (forall @t11 (not @t31))) % 0.31/0.55 (define @t33 () (not @t32)) % 0.31/0.55 (define @t34 () (@quantifiers_skolemize (forall @t2 (or @t29 @t26)) 0)) % 0.31/0.55 (define @t35 () (forall @t11 (or (not (|tptp.'$ki_exists_in_world_$i'| @t34 @t6)) (not (tptp.f @t34 @t6))))) % 0.38/0.55 (define @t36 () (not @t35)) % 0.38/0.55 (define @t37 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t34)) % 0.38/0.55 (define @t38 () (not @t37)) % 0.38/0.55 (define @t39 () (or @t38 @t36)) % 0.38/0.55 (define @t40 () (@list true)) % 0.38/0.55 (define @t41 () (@list @t39)) % 0.38/0.55 (define @t42 () (@quantifiers_skolemize (forall @t11 (or (not @t20) (not @t30))) 0)) % 0.38/0.55 (define @t43 () (forall @t2 (or @t29 (and (tptp.e @t1 @t42) (tptp.f @t1 @t42))))) % 0.38/0.55 (define @t44 () (not @t43)) % 0.38/0.55 (define @t45 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t42)) % 0.38/0.55 (define @t46 () (not @t45)) % 0.38/0.55 (define @t47 () (or @t46 @t44)) % 0.38/0.55 (define @t48 () (@list @t47)) % 0.38/0.55 (define @t49 () (tptp.f @t34 @t42)) % 0.38/0.55 (define @t50 () (and (tptp.e @t34 @t42) @t49)) % 0.38/0.55 (define @t51 () (or @t38 @t50)) % 0.38/0.55 (define @t52 () (@list false false)) % 0.38/0.55 (define @t53 () (not @t5)) % 0.38/0.55 (define @t54 () (|tptp.'$ki_exists_in_world_$i'| @t34 @t42)) % 0.38/0.55 (define @t55 () (or @t46 @t38 @t54)) % 0.38/0.55 (define @t56 () (not @t49)) % 0.38/0.55 (define @t57 () (not @t54)) % 0.38/0.55 (define @t58 () (or @t57 @t56)) % 0.38/0.55 (define @t59 () (not @t58)) % 0.38/0.55 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 0.38/0.55 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and @t5 (|tptp.'$ki_accessible'| @t4 @t3)) (|tptp.'$ki_accessible'| @t1 @t3)))) % 0.38/0.55 (assume @p3 @t10) % 0.38/0.55 (assume @p4 (forall @t2 (exists @t11 @t8))) % 0.38/0.55 (assume @p5 @t24) % 0.38/0.55 (assume @p6 true) % 0.38/0.55 (step @p7 :rule bool-impl-elim :args (@t15 @t26)) % 0.38/0.55 (step @p8 :rule cong :premises (@p7) :args ((forall @t2 (=> @t15 @t26)))) % 0.38/0.55 (step @p9 :rule bool-and-de-morgan :args (@t8 @t12 true)) % 0.38/0.55 (step @p10 :rule cong :premises (@p9) :args (@t27)) % 0.38/0.55 (step @p11 :rule cong :premises (@p10) :args (@t28)) % 0.38/0.55 (step @p12 :rule exists-elim :args ((= @t14 @t28))) % 0.38/0.55 (step @p13 :rule trans :premises (@p12 @p11)) % 0.38/0.55 (step @p14 :rule refl :args (@t15)) % 0.38/0.55 (step @p15 :rule cong :premises (@p14 @p13) :args (@t16)) % 0.38/0.55 (step @p16 :rule cong :premises (@p15) :args (@t17)) % 0.38/0.55 (step @p17 :rule trans :premises (@p16 @p8)) % 0.38/0.55 (step @p18 :rule bool-and-de-morgan :args (@t20 @t30 true)) % 0.38/0.55 (step @p19 :rule cong :premises (@p18) :args (@t32)) % 0.38/0.55 (step @p20 :rule cong :premises (@p19) :args (@t33)) % 0.38/0.55 (step @p21 :rule exists-elim :args ((= (exists @t11 @t31) @t33))) % 0.38/0.55 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.55 (step @p23 :rule bool-impl-elim :args (@t15 @t18)) % 0.38/0.55 (step @p24 :rule cong :premises (@p23) :args (@t19)) % 0.38/0.55 (step @p25 :rule refl :args (@t20)) % 0.38/0.55 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t21)) % 0.38/0.55 (step @p27 :rule cong :premises (@p26) :args (@t22)) % 0.38/0.55 (step @p28 :rule trans :premises (@p27 @p22)) % 0.38/0.55 (step @p29 :rule cong :premises (@p28 @p17) :args (@t23)) % 0.38/0.55 (step @p30 :rule cong :premises (@p29) :args (@t24)) % 0.38/0.55 (step @p31 :rule eq_resolve :premises (@p5 @p30)) % 0.38/0.55 (step @p32 :rule not_implies_elim2 :premises (@p31)) % 0.38/0.55 (step @p33 :rule skolemize :premises (@p32)) % 0.38/0.55 (step @p34 :rule bool-double-not-elim :args (@t35)) % 0.38/0.55 (step @p35 :rule refl :args (@t39)) % 0.38/0.55 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t39 (not @t36)))) % 0.38/0.55 (step @p37 :rule cnf_or_neg :args (@t39 1)) % 0.38/0.55 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.38/0.55 (step @p39 :rule reordering :premises (@p38) :args ((or @t35 @t39))) % 0.38/0.55 (step @p40 :rule chain_m_resolution :premises (@p39 @p33) :args (@t35 @t40 @t41)) % 0.38/0.55 (step @p41 :rule not_implies_elim1 :premises (@p31)) % 0.38/0.55 (step @p42 :rule skolemize :premises (@p41)) % 0.38/0.55 (step @p43 :rule bool-double-not-elim :args (@t43)) % 0.38/0.55 (step @p44 :rule refl :args (@t47)) % 0.38/0.55 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t47 (not @t44)))) % 0.38/0.55 (step @p46 :rule cnf_or_neg :args (@t47 1)) % 0.38/0.55 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.38/0.55 (step @p48 :rule reordering :premises (@p47) :args ((or @t43 @t47))) % 0.38/0.55 (step @p49 :rule chain_m_resolution :premises (@p48 @p42) :args (@t43 @t40 @t48)) % 0.38/0.55 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t34))) % 0.38/0.55 (step @p51 :rule bool-double-not-elim :args (@t37)) % 0.38/0.55 (step @p52 :rule nary_cong :premises (@p35 @p51) :args ((or @t39 (not @t38)))) % 0.38/0.55 (step @p53 :rule cnf_or_neg :args (@t39 0)) % 0.38/0.55 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.38/0.55 (step @p55 :rule reordering :premises (@p54) :args ((or @t37 @t39))) % 0.38/0.55 (step @p56 :rule chain_m_resolution :premises (@p55 @p33) :args (@t37 @t40 @t41)) % 0.38/0.55 (step @p57 :rule cnf_or_pos :args (@t51)) % 0.38/0.55 (step @p58 :rule reordering :premises (@p57) :args ((or @t38 @t50 (not @t51)))) % 0.38/0.55 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p50) :args (@t50 @t52 (@list @t37 @t51))) % 0.38/0.55 (step @p60 :rule cnf_and_pos :args (@t50 1)) % 0.38/0.55 (step @p61 :rule reordering :premises (@p60) :args ((or @t49 (not @t50)))) % 0.38/0.55 (step @p62 :rule chain_m_resolution :premises (@p61 @p59) :args (@t49 (@list false) (@list @t50))) % 0.38/0.55 (step @p63 :rule aci_norm :args ((= (or (or @t25 @t53) @t7) (or @t25 @t53 @t7)))) % 0.38/0.55 (step @p64 :rule refl :args (@t7)) % 0.38/0.55 (step @p65 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 0.38/0.55 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t9) @t7))) % 0.38/0.55 (step @p67 :rule trans :premises (@p66 @p63)) % 0.38/0.55 (step @p68 :rule bool-impl-elim :args (@t9 @t7)) % 0.38/0.55 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.55 (step @p70 :rule cong :premises (@p69) :args (@t10)) % 0.38/0.55 (step @p71 :rule eq_resolve :premises (@p3 @p70)) % 0.38/0.55 (step @p72 :rule instantiate :premises (@p71) :args ((@list |tptp.'$ki_local_world'| @t34 @t42))) % 0.38/0.55 (step @p73 :rule bool-double-not-elim :args (@t45)) % 0.38/0.55 (step @p74 :rule nary_cong :premises (@p44 @p73) :args ((or @t47 (not @t46)))) % 0.38/0.55 (step @p75 :rule cnf_or_neg :args (@t47 0)) % 0.38/0.55 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.38/0.55 (step @p77 :rule reordering :premises (@p76) :args ((or @t45 @t47))) % 0.38/0.55 (step @p78 :rule chain_m_resolution :premises (@p77 @p42) :args (@t45 @t40 @t48)) % 0.38/0.55 (step @p79 :rule cnf_or_pos :args (@t55)) % 0.38/0.55 (step @p80 :rule reordering :premises (@p79) :args ((or @t46 @t38 @t54 (not @t55)))) % 0.38/0.55 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p56 @p72) :args (@t54 (@list false false false) (@list @t45 @t37 @t55))) % 0.38/0.55 (step @p82 :rule cnf_or_pos :args (@t58)) % 0.38/0.55 (step @p83 :rule reordering :premises (@p82) :args ((or @t57 @t56 @t59))) % 0.38/0.55 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p62) :args (@t59 @t52 (@list @t54 @t49))) % 0.38/0.55 (assume-push @p91 @t35) % 0.38/0.55 (step @p86 :rule instantiate :premises (@p40) :args ((@list @t42))) % 0.38/0.55 (step-pop @p92 :rule scope :premises (@p86)) % 0.38/0.55 (step @p87 :rule process_scope :premises (@p92) :args (@t58)) % 0.38/0.55 (step @p89 :rule implies_elim :premises (@p87)) % 0.38/0.55 (step @p90 false :rule chain_m_resolution :premises (@p89 @p84 @p40) :args (false (@list true false) (@list @t58 @t35))) % 0.38/0.55 ) % 0.38/0.55 % SZS output end Proof % 0.38/0.55 % cvc5 exiting %------------------------------------------------------------------------------