%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO887_22 : 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 : n002.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 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO887_22 : 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 % 0.17/0.34 % Computer : n002.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 01:08:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort |tptp.'$ki_world'| 0) % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.f (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.39/0.56 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.39/0.56 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.39/0.56 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.39/0.56 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.39/0.56 (define @t2 () (@list @t1)) % 0.39/0.56 (define @t3 () (@var "U" |tptp.'$ki_world'|)) % 0.39/0.56 (define @t4 () (@var "V" |tptp.'$ki_world'|)) % 0.39/0.56 (define @t5 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t6 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t5)) % 0.39/0.56 (define @t7 () (@list @t5)) % 0.39/0.56 (define @t8 () (tptp.f @t1 @t5)) % 0.39/0.56 (define @t9 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 0.39/0.56 (define @t10 () (and @t9 @t8)) % 0.39/0.56 (define @t11 () (exists @t2 @t10)) % 0.39/0.56 (define @t12 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t5)) % 0.39/0.56 (define @t13 () (and @t12 @t11)) % 0.39/0.56 (define @t14 () (exists @t7 @t13)) % 0.39/0.56 (define @t15 () (and @t6 @t8)) % 0.39/0.56 (define @t16 () (exists @t7 @t15)) % 0.39/0.56 (define @t17 () (=> @t9 @t16)) % 0.39/0.56 (define @t18 () (forall @t2 @t17)) % 0.39/0.56 (define @t19 () (=> @t18 @t14)) % 0.39/0.56 (define @t20 () (not @t19)) % 0.39/0.56 (define @t21 () (@var "BOUND_VARIABLE_7495" |tptp.'$ki_world'|)) % 0.39/0.56 (define @t22 () (not (tptp.f @t21 @t5))) % 0.39/0.56 (define @t23 () (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t21))) % 0.39/0.56 (define @t24 () (not @t12)) % 0.39/0.56 (define @t25 () (or @t24 @t23 @t22)) % 0.39/0.56 (define @t26 () (or @t23 @t22)) % 0.39/0.56 (define @t27 () (or @t24 @t26)) % 0.39/0.56 (define @t28 () (@list @t5 @t21)) % 0.39/0.56 (define @t29 () (forall @t28 @t27)) % 0.39/0.56 (define @t30 () (@list @t21)) % 0.39/0.56 (define @t31 () (forall @t30 @t27)) % 0.39/0.56 (define @t32 () (forall @t30 @t26)) % 0.39/0.56 (define @t33 () (or @t24 @t32)) % 0.39/0.56 (define @t34 () (not @t8)) % 0.39/0.56 (define @t35 () (forall @t2 (or (not @t9) @t34))) % 0.39/0.56 (define @t36 () (not @t35)) % 0.39/0.56 (define @t37 () (and @t12 @t36)) % 0.39/0.56 (define @t38 () (forall @t7 (not @t37))) % 0.39/0.56 (define @t39 () (not @t38)) % 0.39/0.56 (define @t40 () (forall @t2 (not @t10))) % 0.39/0.56 (define @t41 () (not @t40)) % 0.39/0.56 (define @t42 () (not (forall @t7 (or (not @t6) @t34)))) % 0.39/0.56 (define @t43 () (forall @t7 (not @t15))) % 0.39/0.56 (define @t44 () (not @t43)) % 0.39/0.56 (define @t45 () (@list |tptp.'$ki_local_world'|)) % 0.39/0.56 (define @t46 () (forall @t7 (or @t24 (not (tptp.f |tptp.'$ki_local_world'| @t5))))) % 0.39/0.56 (define @t47 () (not @t46)) % 0.39/0.56 (define @t48 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| |tptp.'$ki_local_world'|)) % 0.39/0.56 (define @t49 () (not @t48)) % 0.39/0.56 (define @t50 () (or @t49 @t47)) % 0.39/0.56 (define @t51 () (@quantifiers_skolemize @t46 0)) % 0.39/0.56 (define @t52 () (tptp.f |tptp.'$ki_local_world'| @t51)) % 0.39/0.56 (define @t53 () (not @t52)) % 0.39/0.56 (define @t54 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t51)) % 0.39/0.56 (define @t55 () (not @t54)) % 0.39/0.56 (define @t56 () (or @t55 @t53)) % 0.39/0.56 (define @t57 () (@list true)) % 0.39/0.56 (define @t58 () (@list @t56)) % 0.39/0.56 (define @t59 () (or @t55 @t49 @t53)) % 0.39/0.56 (define @t60 () (not @t59)) % 0.39/0.56 (define @t61 () (forall @t28 @t25)) % 0.39/0.56 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 0.39/0.56 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and (|tptp.'$ki_accessible'| @t1 @t4) (|tptp.'$ki_accessible'| @t4 @t3)) (|tptp.'$ki_accessible'| @t1 @t3)))) % 0.39/0.56 (assume @p3 (forall (@list @t1 @t4 @t5) (=> (and @t6 (|tptp.'$ki_accessible'| @t4 @t1)) (|tptp.'$ki_exists_in_world_$i'| @t4 @t5)))) % 0.39/0.56 (assume @p4 (forall @t2 (exists @t7 @t6))) % 0.39/0.56 (assume @p5 @t20) % 0.39/0.56 (assume @p6 true) % 0.39/0.56 (step @p7 :rule aci_norm :args ((= @t27 @t25))) % 0.39/0.56 (step @p8 :rule cong :premises (@p7) :args (@t29)) % 0.39/0.56 (step @p9 :rule quant-merge-prenex :args ((= (forall @t7 @t31) @t29))) % 0.39/0.56 (step @p10 :rule alpha_equiv :args (@t32 (@list @t21) (@list @t1))) % 0.39/0.56 (step @p11 :rule refl :args (@t24)) % 0.39/0.56 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t33)) % 0.39/0.56 (step @p13 :rule quant-miniscope-or :args ((= @t31 @t33))) % 0.39/0.56 (step @p14 :rule trans :premises (@p13 @p12)) % 0.39/0.56 (step @p15 :rule symm :premises (@p14)) % 0.39/0.56 (step @p16 :rule cong :premises (@p15) :args ((forall @t7 (or @t24 @t35)))) % 0.39/0.56 (step @p17 :rule trans :premises (@p16 @p9)) % 0.39/0.56 (step @p18 :rule trans :premises (@p17 @p8)) % 0.39/0.56 (step @p19 :rule bool-double-not-elim :args (@t35)) % 0.39/0.56 (step @p20 :rule nary_cong :premises (@p11 @p19) :args ((or @t24 (not @t36)))) % 0.39/0.56 (step @p21 :rule bool-and-de-morgan :args (@t12 @t36 true)) % 0.39/0.56 (step @p22 :rule trans :premises (@p21 @p20)) % 0.39/0.56 (step @p23 :rule cong :premises (@p22) :args (@t38)) % 0.39/0.56 (step @p24 :rule trans :premises (@p23 @p18)) % 0.39/0.56 (step @p25 :rule cong :premises (@p24) :args (@t39)) % 0.39/0.56 (step @p26 :rule exists-elim :args ((= (exists @t7 @t37) @t39))) % 0.39/0.56 (step @p27 :rule trans :premises (@p26 @p25)) % 0.39/0.56 (step @p28 :rule bool-and-de-morgan :args (@t9 @t8 true)) % 0.39/0.56 (step @p29 :rule cong :premises (@p28) :args (@t40)) % 0.39/0.56 (step @p30 :rule cong :premises (@p29) :args (@t41)) % 0.39/0.56 (step @p31 :rule exists-elim :args ((= @t11 @t41))) % 0.39/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.39/0.56 (step @p33 :rule refl :args (@t12)) % 0.39/0.56 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t13)) % 0.39/0.56 (step @p35 :rule cong :premises (@p34) :args (@t14)) % 0.39/0.56 (step @p36 :rule trans :premises (@p35 @p27)) % 0.39/0.56 (step @p37 :rule bool-impl-elim :args (@t9 @t42)) % 0.39/0.56 (step @p38 :rule cong :premises (@p37) :args ((forall @t2 (=> @t9 @t42)))) % 0.39/0.56 (step @p39 :rule bool-and-de-morgan :args (@t6 @t8 true)) % 0.39/0.56 (step @p40 :rule cong :premises (@p39) :args (@t43)) % 0.39/0.56 (step @p41 :rule cong :premises (@p40) :args (@t44)) % 0.39/0.56 (step @p42 :rule exists-elim :args ((= @t16 @t44))) % 0.39/0.56 (step @p43 :rule trans :premises (@p42 @p41)) % 0.39/0.56 (step @p44 :rule refl :args (@t9)) % 0.39/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t17)) % 0.39/0.56 (step @p46 :rule cong :premises (@p45) :args (@t18)) % 0.39/0.56 (step @p47 :rule trans :premises (@p46 @p38)) % 0.39/0.56 (step @p48 :rule cong :premises (@p47 @p36) :args (@t19)) % 0.39/0.56 (step @p49 :rule cong :premises (@p48) :args (@t20)) % 0.39/0.56 (step @p50 :rule eq_resolve :premises (@p5 @p49)) % 0.39/0.56 (step @p51 :rule not_implies_elim2 :premises (@p50)) % 0.39/0.56 (step @p52 :rule not_not_elim :premises (@p51)) % 0.39/0.56 (step @p53 :rule not_implies_elim1 :premises (@p50)) % 0.39/0.56 (step @p54 :rule instantiate :premises (@p53) :args (@t45)) % 0.39/0.56 (step @p55 :rule instantiate :premises (@p1) :args (@t45)) % 0.39/0.56 (step @p56 :rule cnf_or_pos :args (@t50)) % 0.39/0.56 (step @p57 :rule reordering :premises (@p56) :args ((or @t49 @t47 (not @t50)))) % 0.39/0.56 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p54) :args (@t47 (@list false false) (@list @t48 @t50))) % 0.39/0.56 (step @p59 :rule skolemize :premises (@p58)) % 0.39/0.56 (step @p60 :rule bool-double-not-elim :args (@t52)) % 0.39/0.56 (step @p61 :rule refl :args (@t56)) % 0.39/0.56 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t56 (not @t53)))) % 0.39/0.56 (step @p63 :rule cnf_or_neg :args (@t56 1)) % 0.39/0.56 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.39/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t52 @t56))) % 0.39/0.56 (step @p66 :rule chain_m_resolution :premises (@p65 @p59) :args (@t52 @t57 @t58)) % 0.39/0.56 (step @p67 :rule bool-double-not-elim :args (@t54)) % 0.39/0.56 (step @p68 :rule nary_cong :premises (@p61 @p67) :args ((or @t56 (not @t55)))) % 0.39/0.56 (step @p69 :rule cnf_or_neg :args (@t56 0)) % 0.39/0.56 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.39/0.56 (step @p71 :rule reordering :premises (@p70) :args ((or @t54 @t56))) % 0.39/0.56 (step @p72 :rule chain_m_resolution :premises (@p71 @p59) :args (@t54 @t57 @t58)) % 0.39/0.56 (step @p73 :rule cnf_or_pos :args (@t59)) % 0.39/0.56 (step @p74 :rule reordering :premises (@p73) :args ((or @t49 @t55 @t53 @t60))) % 0.39/0.56 (step @p75 :rule chain_m_resolution :premises (@p74 @p55 @p72 @p66) :args (@t60 (@list false false false) (@list @t48 @t54 @t52))) % 0.39/0.56 (assume-push @p82 @t61) % 0.39/0.56 (step @p77 :rule instantiate :premises (@p52) :args ((@list @t51 |tptp.'$ki_local_world'|))) % 0.39/0.56 (step-pop @p83 :rule scope :premises (@p77)) % 0.39/0.56 (step @p78 :rule process_scope :premises (@p83) :args (@t59)) % 0.39/0.56 (step @p80 :rule implies_elim :premises (@p78)) % 0.39/0.56 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p52) :args (false (@list true false) (@list @t59 @t61))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------