%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO886_6 : TPTP v9.2.1. Released v8.2.0. % 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 09:13:41 AM UTC 2026 % Result : Theorem 0.35s 0.58s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SYO886_6 : TPTP v9.2.1. Released v8.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.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 01:08:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.58 % SZS status Theorem % 0.35/0.58 % SZS output start Proof % 0.35/0.58 ( % 0.35/0.58 (declare-sort |tptp.'$ki_world'| 0) % 0.35/0.58 (declare-sort $$unsorted 0) % 0.35/0.58 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.35/0.58 (declare-const tptp.f (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.35/0.58 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.35/0.58 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.35/0.58 (define @t1 () (@var "V" |tptp.'$ki_world'|)) % 0.35/0.58 (define @t2 () (@var "W" |tptp.'$ki_world'|)) % 0.35/0.58 (define @t3 () (@list @t2)) % 0.35/0.58 (define @t4 () (@var "X" $$unsorted)) % 0.35/0.58 (define @t5 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t4)) % 0.35/0.58 (define @t6 () (forall (@list @t2 @t4) @t5)) % 0.35/0.58 (define @t7 () (@list @t4)) % 0.35/0.58 (define @t8 () (tptp.f @t2 @t4)) % 0.35/0.58 (define @t9 () (forall @t7 (=> @t5 @t8))) % 0.35/0.58 (define @t10 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2)) % 0.35/0.58 (define @t11 () (=> @t10 @t9)) % 0.35/0.58 (define @t12 () (forall @t3 @t11)) % 0.35/0.58 (define @t13 () (forall @t3 (=> @t10 @t8))) % 0.35/0.58 (define @t14 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t4)) % 0.35/0.58 (define @t15 () (=> @t14 @t13)) % 0.35/0.58 (define @t16 () (forall @t7 @t15)) % 0.35/0.58 (define @t17 () (=> @t16 @t12)) % 0.35/0.58 (define @t18 () (not @t17)) % 0.35/0.58 (define @t19 () (@var "BOUND_VARIABLE_7476" $$unsorted)) % 0.35/0.58 (define @t20 () (tptp.f @t2 @t19)) % 0.35/0.58 (define @t21 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t19))) % 0.35/0.58 (define @t22 () (not @t10)) % 0.35/0.58 (define @t23 () (or @t22 @t21 @t20)) % 0.35/0.58 (define @t24 () (or @t21 @t20)) % 0.35/0.58 (define @t25 () (or @t22 @t24)) % 0.35/0.58 (define @t26 () (@list @t2 @t19)) % 0.35/0.58 (define @t27 () (forall @t26 @t25)) % 0.35/0.58 (define @t28 () (@list @t19)) % 0.35/0.58 (define @t29 () (forall @t28 @t25)) % 0.35/0.58 (define @t30 () (forall @t28 @t24)) % 0.35/0.58 (define @t31 () (or @t22 @t30)) % 0.35/0.58 (define @t32 () (forall @t7 (or (not @t5) @t8))) % 0.35/0.58 (define @t33 () (@var "BOUND_VARIABLE_7459" |tptp.'$ki_world'|)) % 0.35/0.58 (define @t34 () (tptp.f @t33 @t4)) % 0.35/0.58 (define @t35 () (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t33))) % 0.35/0.58 (define @t36 () (not @t14)) % 0.35/0.58 (define @t37 () (or @t35 @t34)) % 0.35/0.58 (define @t38 () (or @t36 @t37)) % 0.35/0.58 (define @t39 () (forall (@list @t4 @t33) @t38)) % 0.35/0.58 (define @t40 () (@list @t33)) % 0.35/0.58 (define @t41 () (forall @t40 @t38)) % 0.35/0.58 (define @t42 () (forall @t40 @t37)) % 0.35/0.58 (define @t43 () (or @t36 @t42)) % 0.35/0.58 (define @t44 () (forall @t3 (or @t22 @t8))) % 0.35/0.58 (define @t45 () (forall @t26 @t23)) % 0.35/0.58 (define @t46 () (@quantifiers_skolemize @t45 0)) % 0.35/0.58 (define @t47 () (@quantifiers_skolemize @t45 1)) % 0.35/0.58 (define @t48 () (tptp.f @t46 @t47)) % 0.35/0.58 (define @t49 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t46)) % 0.35/0.58 (define @t50 () (not @t49)) % 0.35/0.58 (define @t51 () (or @t50 (not (|tptp.'$ki_exists_in_world_$i'| @t46 @t47)) @t48)) % 0.35/0.58 (define @t52 () (@list true)) % 0.35/0.58 (define @t53 () (@list @t51)) % 0.35/0.58 (define @t54 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t47)) % 0.35/0.58 (define @t55 () (not @t54)) % 0.35/0.58 (define @t56 () (or @t55 @t50 @t48)) % 0.35/0.58 (assume @p1 (forall @t3 (exists (@list @t1) (|tptp.'$ki_accessible'| @t2 @t1)))) % 0.35/0.58 (assume @p2 @t6) % 0.35/0.58 (assume @p3 (forall @t3 (exists @t7 @t5))) % 0.35/0.58 (assume @p4 @t18) % 0.35/0.58 (assume @p5 true) % 0.35/0.58 (step @p6 :rule aci_norm :args ((= @t25 @t23))) % 0.35/0.58 (step @p7 :rule cong :premises (@p6) :args (@t27)) % 0.35/0.58 (step @p8 :rule quant-merge-prenex :args ((= (forall @t3 @t29) @t27))) % 0.35/0.58 (step @p9 :rule alpha_equiv :args (@t30 (@list @t19) (@list @t4))) % 0.35/0.58 (step @p10 :rule refl :args (@t22)) % 0.35/0.58 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t31)) % 0.35/0.58 (step @p12 :rule quant-miniscope-or :args ((= @t29 @t31))) % 0.35/0.58 (step @p13 :rule trans :premises (@p12 @p11)) % 0.35/0.58 (step @p14 :rule symm :premises (@p13)) % 0.35/0.58 (step @p15 :rule cong :premises (@p14) :args ((forall @t3 (or @t22 @t32)))) % 0.35/0.58 (step @p16 :rule trans :premises (@p15 @p8)) % 0.35/0.58 (step @p17 :rule trans :premises (@p16 @p7)) % 0.35/0.58 (step @p18 :rule bool-impl-elim :args (@t10 @t32)) % 0.35/0.58 (step @p19 :rule cong :premises (@p18) :args ((forall @t3 (=> @t10 @t32)))) % 0.35/0.58 (step @p20 :rule trans :premises (@p19 @p17)) % 0.35/0.58 (step @p21 :rule bool-impl-elim :args (@t5 @t8)) % 0.35/0.58 (step @p22 :rule cong :premises (@p21) :args (@t9)) % 0.35/0.58 (step @p23 :rule refl :args (@t10)) % 0.35/0.58 (step @p24 :rule cong :premises (@p23 @p22) :args (@t11)) % 0.35/0.58 (step @p25 :rule cong :premises (@p24) :args (@t12)) % 0.35/0.58 (step @p26 :rule trans :premises (@p25 @p20)) % 0.35/0.58 (step @p27 :rule aci_norm :args ((= @t38 (or @t36 @t35 @t34)))) % 0.35/0.58 (step @p28 :rule cong :premises (@p27) :args (@t39)) % 0.35/0.58 (step @p29 :rule quant-merge-prenex :args ((= (forall @t7 @t41) @t39))) % 0.35/0.58 (step @p30 :rule alpha_equiv :args (@t42 (@list @t33) (@list @t2))) % 0.35/0.58 (step @p31 :rule refl :args (@t36)) % 0.35/0.58 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t43)) % 0.35/0.58 (step @p33 :rule quant-miniscope-or :args ((= @t41 @t43))) % 0.35/0.58 (step @p34 :rule trans :premises (@p33 @p32)) % 0.35/0.58 (step @p35 :rule symm :premises (@p34)) % 0.35/0.58 (step @p36 :rule cong :premises (@p35) :args ((forall @t7 (or @t36 @t44)))) % 0.35/0.58 (step @p37 :rule trans :premises (@p36 @p29)) % 0.35/0.58 (step @p38 :rule trans :premises (@p37 @p28)) % 0.35/0.58 (step @p39 :rule bool-impl-elim :args (@t14 @t44)) % 0.35/0.58 (step @p40 :rule cong :premises (@p39) :args ((forall @t7 (=> @t14 @t44)))) % 0.35/0.58 (step @p41 :rule trans :premises (@p40 @p38)) % 0.35/0.58 (step @p42 :rule bool-impl-elim :args (@t10 @t8)) % 0.35/0.58 (step @p43 :rule cong :premises (@p42) :args (@t13)) % 0.35/0.58 (step @p44 :rule refl :args (@t14)) % 0.35/0.58 (step @p45 :rule cong :premises (@p44 @p43) :args (@t15)) % 0.35/0.58 (step @p46 :rule cong :premises (@p45) :args (@t16)) % 0.35/0.58 (step @p47 :rule trans :premises (@p46 @p41)) % 0.35/0.58 (step @p48 :rule cong :premises (@p47 @p26) :args (@t17)) % 0.35/0.58 (step @p49 :rule cong :premises (@p48) :args (@t18)) % 0.35/0.58 (step @p50 :rule eq_resolve :premises (@p4 @p49)) % 0.35/0.58 (step @p51 :rule not_implies_elim1 :premises (@p50)) % 0.35/0.58 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t47 @t46))) % 0.35/0.58 (step @p53 :rule not_implies_elim2 :premises (@p50)) % 0.35/0.58 (step @p54 :rule skolemize :premises (@p53)) % 0.35/0.58 (step @p55 :rule cnf_or_neg :args (@t51 2)) % 0.35/0.58 (step @p56 :rule chain_m_resolution :premises (@p55 @p54) :args ((not @t48) @t52 @t53)) % 0.35/0.58 (step @p57 :rule bool-double-not-elim :args (@t49)) % 0.35/0.58 (step @p58 :rule refl :args (@t51)) % 0.35/0.58 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t51 (not @t50)))) % 0.35/0.58 (step @p60 :rule cnf_or_neg :args (@t51 0)) % 0.35/0.58 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.35/0.58 (step @p62 :rule reordering :premises (@p61) :args ((or @t49 @t51))) % 0.35/0.58 (step @p63 :rule chain_m_resolution :premises (@p62 @p54) :args (@t49 @t52 @t53)) % 0.35/0.58 (step @p64 :rule cnf_or_pos :args (@t56)) % 0.35/0.58 (step @p65 :rule reordering :premises (@p64) :args ((or @t50 @t48 @t55 (not @t56)))) % 0.35/0.58 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p56 @p52) :args (@t55 (@list false true false) (@list @t49 @t48 @t56))) % 0.35/0.58 (assume-push @p73 @t6) % 0.35/0.58 (step @p68 :rule instantiate :premises (@p2) :args ((@list |tptp.'$ki_local_world'| @t47))) % 0.35/0.58 (step-pop @p74 :rule scope :premises (@p68)) % 0.35/0.58 (step @p69 :rule process_scope :premises (@p74) :args (@t54)) % 0.35/0.58 (step @p71 :rule implies_elim :premises (@p69)) % 0.35/0.58 (step @p72 false :rule chain_m_resolution :premises (@p71 @p66 @p2) :args (false (@list true false) (@list @t54 @t6))) % 0.35/0.58 ) % 0.35/0.58 % SZS output end Proof % 0.35/0.58 % cvc5 exiting %------------------------------------------------------------------------------