%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO899_8 : 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 : n023.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 09:13:44 AM UTC 2026 % Result : Theorem 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO899_8 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:09:58 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.57 % SZS status Theorem % 0.40/0.57 % SZS output start Proof % 0.40/0.57 ( % 0.40/0.57 (declare-sort |tptp.'$ki_world'| 0) % 0.40/0.57 (declare-const tptp.p (-> |tptp.'$ki_world'| Bool)) % 0.40/0.57 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.40/0.57 (declare-const tptp.q (-> |tptp.'$ki_world'| Bool)) % 0.40/0.57 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.40/0.57 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.40/0.57 (define @t2 () (@list @t1)) % 0.40/0.57 (define @t3 () (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 0.40/0.57 (define @t4 () (tptp.q @t1)) % 0.40/0.57 (define @t5 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 0.40/0.57 (define @t6 () (and @t5 @t4)) % 0.40/0.57 (define @t7 () (exists @t2 @t6)) % 0.40/0.57 (define @t8 () (tptp.p @t1)) % 0.40/0.57 (define @t9 () (forall @t2 (=> @t5 @t8))) % 0.40/0.57 (define @t10 () (=> @t9 @t7)) % 0.40/0.57 (define @t11 () (@var "W0" |tptp.'$ki_world'|)) % 0.40/0.57 (define @t12 () (tptp.q @t11)) % 0.40/0.57 (define @t13 () (|tptp.'$ki_accessible'| @t1 @t11)) % 0.40/0.57 (define @t14 () (@list @t11)) % 0.40/0.57 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.40/0.57 (define @t16 () (=> @t8 @t15)) % 0.40/0.57 (define @t17 () (and @t5 @t16)) % 0.40/0.57 (define @t18 () (exists @t2 @t17)) % 0.40/0.57 (define @t19 () (=> @t18 @t10)) % 0.40/0.57 (define @t20 () (not @t19)) % 0.40/0.57 (define @t21 () (forall @t2 (not @t6))) % 0.40/0.57 (define @t22 () (not @t21)) % 0.40/0.57 (define @t23 () (forall @t14 (or (not @t13) @t12))) % 0.40/0.57 (define @t24 () (not @t5)) % 0.40/0.57 (define @t25 () (=> @t8 @t23)) % 0.40/0.57 (define @t26 () (and @t5 @t25)) % 0.40/0.57 (define @t27 () (forall @t2 (not @t26))) % 0.40/0.57 (define @t28 () (not @t27)) % 0.40/0.57 (define @t29 () (@quantifiers_skolemize (forall @t2 (or @t24 (and @t8 (not @t23)))) 0)) % 0.40/0.57 (define @t30 () (@list @t29)) % 0.40/0.57 (define @t31 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t29)) % 0.40/0.57 (define @t32 () (forall @t14 (or (not (|tptp.'$ki_accessible'| @t29 @t11)) @t12))) % 0.40/0.57 (define @t33 () (not @t32)) % 0.40/0.57 (define @t34 () (tptp.p @t29)) % 0.40/0.57 (define @t35 () (and @t34 @t33)) % 0.40/0.57 (define @t36 () (not @t31)) % 0.40/0.57 (define @t37 () (or @t36 @t35)) % 0.40/0.57 (define @t38 () (@list true)) % 0.40/0.57 (define @t39 () (@list @t37)) % 0.40/0.57 (define @t40 () (or @t36 @t34)) % 0.40/0.57 (define @t41 () (@list false false)) % 0.40/0.57 (define @t42 () (not @t34)) % 0.40/0.57 (define @t43 () (@list true false)) % 0.40/0.57 (define @t44 () (tptp.q @t29)) % 0.40/0.57 (define @t45 () (not @t44)) % 0.40/0.57 (define @t46 () (or @t36 @t45)) % 0.40/0.57 (define @t47 () (|tptp.'$ki_accessible'| @t29 @t29)) % 0.40/0.57 (define @t48 () (not @t47)) % 0.40/0.57 (define @t49 () (or @t48 @t44)) % 0.40/0.57 (assume @p1 @t3) % 0.40/0.57 (assume @p2 @t20) % 0.40/0.57 (assume @p3 true) % 0.40/0.57 (step @p4 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.40/0.57 (step @p5 :rule cong :premises (@p4) :args (@t21)) % 0.40/0.57 (step @p6 :rule cong :premises (@p5) :args (@t22)) % 0.40/0.57 (step @p7 :rule exists-elim :args ((= @t7 @t22))) % 0.40/0.57 (step @p8 :rule trans :premises (@p7 @p6)) % 0.40/0.57 (step @p9 :rule bool-impl-elim :args (@t5 @t8)) % 0.40/0.57 (step @p10 :rule cong :premises (@p9) :args (@t9)) % 0.40/0.57 (step @p11 :rule cong :premises (@p10 @p8) :args (@t10)) % 0.40/0.57 (step @p12 :rule bool-implies-de-morgan :args (@t8 @t23)) % 0.40/0.57 (step @p13 :rule refl :args (@t24)) % 0.40/0.57 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t24 (not @t25)))) % 0.40/0.57 (step @p15 :rule bool-and-de-morgan :args (@t5 @t25 true)) % 0.40/0.57 (step @p16 :rule trans :premises (@p15 @p14)) % 0.40/0.57 (step @p17 :rule cong :premises (@p16) :args (@t27)) % 0.40/0.57 (step @p18 :rule cong :premises (@p17) :args (@t28)) % 0.40/0.57 (step @p19 :rule exists-elim :args ((= (exists @t2 @t26) @t28))) % 0.40/0.57 (step @p20 :rule trans :premises (@p19 @p18)) % 0.40/0.57 (step @p21 :rule bool-impl-elim :args (@t13 @t12)) % 0.40/0.57 (step @p22 :rule cong :premises (@p21) :args (@t15)) % 0.40/0.57 (step @p23 :rule refl :args (@t8)) % 0.40/0.57 (step @p24 :rule cong :premises (@p23 @p22) :args (@t16)) % 0.40/0.57 (step @p25 :rule refl :args (@t5)) % 0.40/0.57 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t17)) % 0.40/0.57 (step @p27 :rule cong :premises (@p26) :args (@t18)) % 0.40/0.57 (step @p28 :rule trans :premises (@p27 @p20)) % 0.40/0.57 (step @p29 :rule cong :premises (@p28 @p11) :args (@t19)) % 0.40/0.57 (step @p30 :rule cong :premises (@p29) :args (@t20)) % 0.40/0.57 (step @p31 :rule eq_resolve :premises (@p2 @p30)) % 0.40/0.57 (step @p32 :rule not_implies_elim2 :premises (@p31)) % 0.40/0.57 (step @p33 :rule not_implies_elim1 :premises (@p32)) % 0.40/0.57 (step @p34 :rule instantiate :premises (@p33) :args (@t30)) % 0.40/0.57 (step @p35 :rule not_implies_elim1 :premises (@p31)) % 0.40/0.57 (step @p36 :rule skolemize :premises (@p35)) % 0.40/0.57 (step @p37 :rule bool-double-not-elim :args (@t31)) % 0.40/0.57 (step @p38 :rule refl :args (@t37)) % 0.40/0.57 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t37 (not @t36)))) % 0.40/0.57 (step @p40 :rule cnf_or_neg :args (@t37 0)) % 0.40/0.57 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.40/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t31 @t37))) % 0.40/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t31 @t38 @t39)) % 0.40/0.57 (step @p44 :rule cnf_or_pos :args (@t40)) % 0.40/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t36 @t34 (not @t40)))) % 0.40/0.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p34) :args (@t34 @t41 (@list @t31 @t40))) % 0.40/0.57 (step @p47 :rule cnf_or_neg :args (@t37 1)) % 0.40/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p36) :args ((not @t35) @t38 @t39)) % 0.40/0.57 (step @p49 :rule bool-double-not-elim :args (@t32)) % 0.40/0.57 (step @p50 :rule refl :args (@t42)) % 0.40/0.57 (step @p51 :rule refl :args (@t35)) % 0.40/0.57 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args ((or @t35 @t42 (not @t33)))) % 0.40/0.57 (step @p53 :rule cnf_and_neg :args (@t35)) % 0.40/0.57 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.40/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t32 @t35 @t42))) % 0.40/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p48 @p46) :args (@t32 @t43 (@list @t35 @t34))) % 0.40/0.57 (step @p57 :rule instantiate :premises (@p56) :args (@t30)) % 0.40/0.57 (step @p58 :rule not_implies_elim2 :premises (@p32)) % 0.40/0.57 (step @p59 :rule not_not_elim :premises (@p58)) % 0.40/0.57 (step @p60 :rule instantiate :premises (@p59) :args (@t30)) % 0.40/0.57 (step @p61 :rule cnf_or_pos :args (@t46)) % 0.40/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t36 @t45 (not @t46)))) % 0.40/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p43 @p60) :args (@t45 @t41 (@list @t31 @t46))) % 0.40/0.57 (step @p64 :rule cnf_or_pos :args (@t49)) % 0.40/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t44 @t48 (not @t49)))) % 0.40/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p57) :args (@t48 @t43 (@list @t44 @t49))) % 0.40/0.57 (assume-push @p73 @t3) % 0.40/0.57 (step @p68 :rule instantiate :premises (@p1) :args (@t30)) % 0.40/0.57 (step-pop @p74 :rule scope :premises (@p68)) % 0.40/0.57 (step @p69 :rule process_scope :premises (@p74) :args (@t47)) % 0.40/0.57 (step @p71 :rule implies_elim :premises (@p69)) % 0.40/0.57 (step @p72 false :rule chain_m_resolution :premises (@p71 @p66 @p1) :args (false @t43 (@list @t47 @t3))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------