%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO892_15 : 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 09:13:43 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 : SYO892_15 : 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 % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:34:04 EDT 2026 % 0.17/0.34 % 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 $$unsorted 0) % 0.31/0.55 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.31/0.55 (declare-const tptp.f (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.31/0.55 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.31/0.55 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.31/0.55 (define @t1 () (@var "V" |tptp.'$ki_world'|)) % 0.31/0.55 (define @t2 () (@var "W" |tptp.'$ki_world'|)) % 0.31/0.55 (define @t3 () (|tptp.'$ki_accessible'| @t2 @t1)) % 0.31/0.55 (define @t4 () (@list @t2)) % 0.31/0.55 (define @t5 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t6 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t5)) % 0.31/0.55 (define @t7 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t5)) % 0.31/0.55 (define @t8 () (and @t7 @t3)) % 0.31/0.55 (define @t9 () (forall (@list @t2 @t1 @t5) (=> @t8 @t6))) % 0.31/0.55 (define @t10 () (@list @t5)) % 0.31/0.55 (define @t11 () (tptp.f @t2 @t5)) % 0.31/0.55 (define @t12 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2)) % 0.31/0.55 (define @t13 () (and @t12 @t11)) % 0.31/0.55 (define @t14 () (exists @t4 @t13)) % 0.31/0.55 (define @t15 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t5)) % 0.31/0.55 (define @t16 () (=> @t15 @t14)) % 0.31/0.55 (define @t17 () (forall @t10 @t16)) % 0.31/0.55 (define @t18 () (forall @t10 (=> @t7 @t11))) % 0.31/0.55 (define @t19 () (and @t12 @t18)) % 0.31/0.55 (define @t20 () (exists @t4 @t19)) % 0.31/0.55 (define @t21 () (=> @t20 @t17)) % 0.31/0.55 (define @t22 () (not @t21)) % 0.31/0.55 (define @t23 () (not @t12)) % 0.31/0.55 (define @t24 () (not (forall @t4 (or @t23 (not @t11))))) % 0.31/0.55 (define @t25 () (forall @t4 (not @t13))) % 0.31/0.55 (define @t26 () (not @t25)) % 0.31/0.55 (define @t27 () (not @t7)) % 0.31/0.55 (define @t28 () (forall @t10 (or @t27 @t11))) % 0.31/0.55 (define @t29 () (and @t12 @t28)) % 0.31/0.55 (define @t30 () (forall @t4 (not @t29))) % 0.31/0.55 (define @t31 () (not @t30)) % 0.31/0.55 (define @t32 () (@quantifiers_skolemize (forall @t4 (or @t23 (not @t28))) 0)) % 0.31/0.55 (define @t33 () (forall @t10 (or (not (|tptp.'$ki_exists_in_world_$i'| @t32 @t5)) (tptp.f @t32 @t5)))) % 0.31/0.55 (define @t34 () (not @t33)) % 0.31/0.55 (define @t35 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t32)) % 0.31/0.55 (define @t36 () (not @t35)) % 0.31/0.55 (define @t37 () (or @t36 @t34)) % 0.31/0.55 (define @t38 () (@list true)) % 0.31/0.55 (define @t39 () (@list @t37)) % 0.31/0.55 (define @t40 () (not @t3)) % 0.31/0.55 (define @t41 () (@quantifiers_skolemize (forall @t10 (or (not @t15) @t24)) 0)) % 0.31/0.55 (define @t42 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t41)) % 0.31/0.55 (define @t43 () (forall @t4 (or @t23 (not (tptp.f @t2 @t41))))) % 0.31/0.55 (define @t44 () (not @t43)) % 0.31/0.55 (define @t45 () (not @t42)) % 0.31/0.55 (define @t46 () (or @t45 @t44)) % 0.31/0.55 (define @t47 () (@list @t46)) % 0.31/0.55 (define @t48 () (|tptp.'$ki_exists_in_world_$i'| @t32 @t41)) % 0.31/0.55 (define @t49 () (or @t45 @t36 @t48)) % 0.31/0.55 (define @t50 () (tptp.f @t32 @t41)) % 0.31/0.55 (define @t51 () (not @t50)) % 0.31/0.55 (define @t52 () (or @t36 @t51)) % 0.31/0.55 (define @t53 () (not @t48)) % 0.31/0.55 (define @t54 () (or @t53 @t50)) % 0.31/0.55 (define @t55 () (not @t54)) % 0.31/0.55 (define @t56 () (@list true false)) % 0.31/0.55 (assume @p1 (forall @t4 (exists (@list @t1) @t3))) % 0.31/0.55 (assume @p2 @t9) % 0.31/0.55 (assume @p3 (forall @t4 (exists @t10 @t7))) % 0.31/0.55 (assume @p4 @t22) % 0.31/0.55 (assume @p5 true) % 0.31/0.55 (step @p6 :rule bool-impl-elim :args (@t15 @t24)) % 0.31/0.55 (step @p7 :rule cong :premises (@p6) :args ((forall @t10 (=> @t15 @t24)))) % 0.31/0.55 (step @p8 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.31/0.55 (step @p9 :rule cong :premises (@p8) :args (@t25)) % 0.31/0.55 (step @p10 :rule cong :premises (@p9) :args (@t26)) % 0.31/0.55 (step @p11 :rule exists-elim :args ((= @t14 @t26))) % 0.31/0.55 (step @p12 :rule trans :premises (@p11 @p10)) % 0.31/0.55 (step @p13 :rule refl :args (@t15)) % 0.31/0.55 (step @p14 :rule cong :premises (@p13 @p12) :args (@t16)) % 0.31/0.55 (step @p15 :rule cong :premises (@p14) :args (@t17)) % 0.31/0.55 (step @p16 :rule trans :premises (@p15 @p7)) % 0.31/0.55 (step @p17 :rule bool-and-de-morgan :args (@t12 @t28 true)) % 0.31/0.55 (step @p18 :rule cong :premises (@p17) :args (@t30)) % 0.31/0.55 (step @p19 :rule cong :premises (@p18) :args (@t31)) % 0.31/0.55 (step @p20 :rule exists-elim :args ((= (exists @t4 @t29) @t31))) % 0.31/0.55 (step @p21 :rule trans :premises (@p20 @p19)) % 0.31/0.55 (step @p22 :rule bool-impl-elim :args (@t7 @t11)) % 0.31/0.55 (step @p23 :rule cong :premises (@p22) :args (@t18)) % 0.31/0.55 (step @p24 :rule refl :args (@t12)) % 0.31/0.55 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t19)) % 0.31/0.55 (step @p26 :rule cong :premises (@p25) :args (@t20)) % 0.38/0.55 (step @p27 :rule trans :premises (@p26 @p21)) % 0.38/0.55 (step @p28 :rule cong :premises (@p27 @p16) :args (@t21)) % 0.38/0.55 (step @p29 :rule cong :premises (@p28) :args (@t22)) % 0.38/0.55 (step @p30 :rule eq_resolve :premises (@p4 @p29)) % 0.38/0.55 (step @p31 :rule not_implies_elim1 :premises (@p30)) % 0.38/0.55 (step @p32 :rule skolemize :premises (@p31)) % 0.38/0.55 (step @p33 :rule bool-double-not-elim :args (@t33)) % 0.38/0.55 (step @p34 :rule refl :args (@t37)) % 0.38/0.55 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t37 (not @t34)))) % 0.38/0.55 (step @p36 :rule cnf_or_neg :args (@t37 1)) % 0.38/0.55 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.38/0.55 (step @p38 :rule reordering :premises (@p37) :args ((or @t33 @t37))) % 0.38/0.55 (step @p39 :rule chain_m_resolution :premises (@p38 @p32) :args (@t33 @t38 @t39)) % 0.38/0.55 (step @p40 :rule aci_norm :args ((= (or (or @t27 @t40) @t6) (or @t27 @t40 @t6)))) % 0.38/0.55 (step @p41 :rule refl :args (@t6)) % 0.38/0.55 (step @p42 :rule bool-and-de-morgan :args (@t7 @t3 true)) % 0.38/0.55 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t8) @t6))) % 0.38/0.55 (step @p44 :rule trans :premises (@p43 @p40)) % 0.38/0.55 (step @p45 :rule bool-impl-elim :args (@t8 @t6)) % 0.38/0.55 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.55 (step @p47 :rule cong :premises (@p46) :args (@t9)) % 0.38/0.55 (step @p48 :rule eq_resolve :premises (@p2 @p47)) % 0.38/0.55 (step @p49 :rule instantiate :premises (@p48) :args ((@list |tptp.'$ki_local_world'| @t32 @t41))) % 0.38/0.55 (step @p50 :rule not_implies_elim2 :premises (@p30)) % 0.38/0.55 (step @p51 :rule skolemize :premises (@p50)) % 0.38/0.55 (step @p52 :rule bool-double-not-elim :args (@t42)) % 0.38/0.55 (step @p53 :rule refl :args (@t46)) % 0.38/0.55 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t46 (not @t45)))) % 0.38/0.55 (step @p55 :rule cnf_or_neg :args (@t46 0)) % 0.38/0.55 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.38/0.55 (step @p57 :rule reordering :premises (@p56) :args ((or @t42 @t46))) % 0.38/0.55 (step @p58 :rule chain_m_resolution :premises (@p57 @p51) :args (@t42 @t38 @t47)) % 0.38/0.55 (step @p59 :rule bool-double-not-elim :args (@t35)) % 0.38/0.55 (step @p60 :rule nary_cong :premises (@p34 @p59) :args ((or @t37 (not @t36)))) % 0.38/0.55 (step @p61 :rule cnf_or_neg :args (@t37 0)) % 0.38/0.55 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.38/0.55 (step @p63 :rule reordering :premises (@p62) :args ((or @t35 @t37))) % 0.38/0.55 (step @p64 :rule chain_m_resolution :premises (@p63 @p32) :args (@t35 @t38 @t39)) % 0.38/0.55 (step @p65 :rule cnf_or_pos :args (@t49)) % 0.38/0.55 (step @p66 :rule reordering :premises (@p65) :args ((or @t36 @t45 @t48 (not @t49)))) % 0.38/0.55 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p58 @p49) :args (@t48 (@list false false false) (@list @t35 @t42 @t49))) % 0.38/0.55 (step @p68 :rule bool-double-not-elim :args (@t43)) % 0.38/0.55 (step @p69 :rule nary_cong :premises (@p53 @p68) :args ((or @t46 (not @t44)))) % 0.38/0.55 (step @p70 :rule cnf_or_neg :args (@t46 1)) % 0.38/0.55 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.38/0.55 (step @p72 :rule reordering :premises (@p71) :args ((or @t43 @t46))) % 0.38/0.55 (step @p73 :rule chain_m_resolution :premises (@p72 @p51) :args (@t43 @t38 @t47)) % 0.38/0.55 (step @p74 :rule instantiate :premises (@p73) :args ((@list @t32))) % 0.38/0.55 (step @p75 :rule cnf_or_pos :args (@t52)) % 0.38/0.55 (step @p76 :rule reordering :premises (@p75) :args ((or @t36 @t51 (not @t52)))) % 0.38/0.55 (step @p77 :rule chain_m_resolution :premises (@p76 @p64 @p74) :args (@t51 (@list false false) (@list @t35 @t52))) % 0.38/0.55 (step @p78 :rule cnf_or_pos :args (@t54)) % 0.38/0.55 (step @p79 :rule reordering :premises (@p78) :args ((or @t50 @t53 @t55))) % 0.38/0.55 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p67) :args (@t55 @t56 (@list @t50 @t48))) % 0.38/0.55 (assume-push @p87 @t33) % 0.38/0.55 (step @p82 :rule instantiate :premises (@p39) :args ((@list @t41))) % 0.38/0.55 (step-pop @p88 :rule scope :premises (@p82)) % 0.38/0.55 (step @p83 :rule process_scope :premises (@p88) :args (@t54)) % 0.38/0.55 (step @p85 :rule implies_elim :premises (@p83)) % 0.38/0.55 (step @p86 false :rule chain_m_resolution :premises (@p85 @p80 @p39) :args (false @t56 (@list @t54 @t33))) % 0.38/0.55 ) % 0.38/0.55 % SZS output end Proof % 0.38/0.55 % cvc5 exiting %------------------------------------------------------------------------------