%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS170+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:29:03 AM UTC 2026 % Result : Theorem 0.32s 0.54s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS170+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:28:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.54 % SZS status Theorem % 0.32/0.54 % SZS output start Proof % 0.32/0.54 ( % 0.32/0.54 (declare-sort $$unsorted 0) % 0.32/0.54 (declare-const tptp.rhasLeader (-> $$unsorted $$unsorted Bool)) % 0.32/0.54 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.32/0.54 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.32/0.54 (declare-const tptp.rhasHead (-> $$unsorted $$unsorted Bool)) % 0.32/0.54 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.32/0.54 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.32/0.54 (define @t1 () (@var "X" $$unsorted)) % 0.32/0.54 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.32/0.54 (define @t3 () (tptp.cowlThing @t1)) % 0.32/0.54 (define @t4 () (@list @t1)) % 0.32/0.54 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.32/0.54 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.32/0.54 (define @t7 () (@var "Y" $$unsorted)) % 0.32/0.54 (define @t8 () (tptp.rhasHead @t1 @t7)) % 0.32/0.54 (define @t9 () (tptp.rhasLeader @t1 @t7)) % 0.32/0.54 (define @t10 () (@list @t1 @t7)) % 0.32/0.54 (define @t11 () (forall @t10 (= @t9 @t8))) % 0.32/0.54 (define @t12 () (forall @t10 (=> @t8 @t9))) % 0.32/0.54 (define @t13 () (forall @t10 (=> @t9 @t8))) % 0.32/0.54 (define @t14 () (and @t5 @t6 @t13 @t12)) % 0.32/0.54 (define @t15 () (not @t14)) % 0.32/0.54 (define @t16 () (forall @t10 (or (not @t8) @t9))) % 0.32/0.54 (define @t17 () (@quantifiers_skolemize @t16 1)) % 0.32/0.54 (define @t18 () (@quantifiers_skolemize @t16 0)) % 0.32/0.54 (define @t19 () (tptp.rhasLeader @t18 @t17)) % 0.32/0.54 (define @t20 () (tptp.rhasHead @t18 @t17)) % 0.32/0.54 (define @t21 () (= @t19 @t20)) % 0.32/0.54 (define @t22 () (= @t20 @t19)) % 0.32/0.54 (define @t23 () (@list false)) % 0.32/0.54 (define @t24 () (forall @t10 (or (not @t9) @t8))) % 0.32/0.54 (define @t25 () (@quantifiers_skolemize @t24 1)) % 0.32/0.54 (define @t26 () (@quantifiers_skolemize @t24 0)) % 0.32/0.54 (define @t27 () (tptp.rhasLeader @t26 @t25)) % 0.32/0.54 (define @t28 () (tptp.rhasHead @t26 @t25)) % 0.32/0.54 (define @t29 () (not @t27)) % 0.32/0.54 (define @t30 () (or @t29 @t28)) % 0.32/0.54 (define @t31 () (= @t27 @t28)) % 0.32/0.54 (define @t32 () (not @t30)) % 0.32/0.54 (define @t33 () (not @t24)) % 0.32/0.54 (define @t34 () (forall @t4 @t2)) % 0.32/0.54 (define @t35 () (@list @t1)) % 0.32/0.54 (define @t36 () (@var "BOUND_VARIABLE_7444" $$unsorted)) % 0.32/0.54 (define @t37 () (forall @t4 @t3)) % 0.32/0.54 (define @t38 () (@var "BOUND_VARIABLE_7439" $$unsorted)) % 0.32/0.54 (define @t39 () (and @t37 @t34)) % 0.32/0.54 (define @t40 () (forall (@list @t36) (not (tptp.cowlNothing @t36)))) % 0.32/0.54 (define @t41 () (forall (@list @t38) (tptp.cowlThing @t38))) % 0.32/0.54 (define @t42 () (not @t16)) % 0.32/0.54 (define @t43 () (not @t20)) % 0.32/0.54 (define @t44 () (or @t43 @t19)) % 0.32/0.54 (define @t45 () (not @t44)) % 0.32/0.54 (define @t46 () (@list true)) % 0.32/0.54 (define @t47 () (@list @t44)) % 0.32/0.54 (assume @p1 @t5) % 0.32/0.54 (assume @p2 @t6) % 0.32/0.54 (assume @p3 @t11) % 0.32/0.54 (assume @p4 @t15) % 0.32/0.54 (assume @p5 true) % 0.32/0.54 (step @p6 :rule eq-symm :args (@t19 @t20)) % 0.32/0.54 (step @p7 :rule refl :args (@t11)) % 0.32/0.54 (step @p8 :rule cong :premises (@p7 @p6) :args ((=> @t11 @t21))) % 0.32/0.54 (assume-push @p80 @t11) % 0.32/0.54 (step @p10 :rule instantiate :premises (@p3) :args ((@list @t18 @t17))) % 0.32/0.54 (step-pop @p81 :rule scope :premises (@p10)) % 0.32/0.54 (step @p11 :rule process_scope :premises (@p81) :args (@t21)) % 0.32/0.54 (step @p13 :rule eq_resolve :premises (@p11 @p8)) % 0.32/0.54 (step @p14 :rule implies_elim :premises (@p13)) % 0.32/0.54 (step @p15 :rule chain_m_resolution :premises (@p14 @p3) :args (@t22 @t23 (@list @t11))) % 0.32/0.54 (step @p16 :rule bool-double-not-elim :args (@t27)) % 0.32/0.55 (step @p17 :rule refl :args (@t30)) % 0.32/0.55 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t30 (not @t29)))) % 0.32/0.55 (step @p19 :rule cnf_or_neg :args (@t30 0)) % 0.32/0.55 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.32/0.55 (step @p21 :rule reordering :premises (@p20) :args ((or @t27 @t30))) % 0.32/0.55 (step @p22 :rule cnf_or_neg :args (@t30 1)) % 0.32/0.55 (step @p23 :rule instantiate :premises (@p3) :args ((@list @t26 @t25))) % 0.32/0.55 (step @p24 :rule cnf_equiv_pos1 :args (@t31)) % 0.32/0.55 (step @p25 :rule reordering :premises (@p24) :args ((or @t29 @t28 (not @t31)))) % 0.32/0.55 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p22 @p21) :args (@t30 (@list false true false) (@list @t31 @t28 @t27))) % 0.32/0.55 (step @p27 :rule refl :args (@t32)) % 0.32/0.55 (step @p28 :rule bool-double-not-elim :args (@t24)) % 0.32/0.55 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t33) @t32))) % 0.32/0.55 (assume-push @p82 @t33) % 0.32/0.55 (step @p31 :rule skolemize :premises (@p82)) % 0.32/0.55 (step-pop @p83 :rule scope :premises (@p31)) % 0.32/0.55 (step @p32 :rule process_scope :premises (@p83) :args (@t32)) % 0.32/0.55 (step @p34 :rule implies_elim :premises (@p32)) % 0.32/0.55 (step @p35 :rule eq_resolve :premises (@p34 @p29)) % 0.32/0.55 (step @p36 :rule chain_m_resolution :premises (@p35 @p26) :args (@t24 @t23 (@list @t30))) % 0.32/0.55 (step @p37 :rule alpha_equiv :args (@t34 @t35 (@list @t36))) % 0.32/0.55 (step @p38 :rule alpha_equiv :args (@t37 @t35 (@list @t38))) % 0.32/0.55 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t39)) % 0.32/0.55 (step @p40 :rule quant-miniscope-and :args ((= @t5 @t39))) % 0.32/0.55 (step @p41 :rule trans :premises (@p40 @p39)) % 0.32/0.55 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.32/0.55 (step @p43 :rule and_elim :premises (@p42) :args (1)) % 0.32/0.55 (step @p44 :rule and_elim :premises (@p42) :args (0)) % 0.32/0.55 (step @p45 :rule aci_norm :args ((= (and (and @t41 @t40) @t6 @t24 @t16) (and @t6 @t24 @t16 @t41 @t40)))) % 0.32/0.55 (step @p46 :rule bool-impl-elim :args (@t8 @t9)) % 0.32/0.55 (step @p47 :rule cong :premises (@p46) :args (@t12)) % 0.32/0.55 (step @p48 :rule bool-impl-elim :args (@t9 @t8)) % 0.32/0.55 (step @p49 :rule cong :premises (@p48) :args (@t13)) % 0.32/0.55 (step @p50 :rule refl :args (@t6)) % 0.32/0.55 (step @p51 :rule nary_cong :premises (@p41 @p50 @p49 @p47) :args (@t14)) % 0.32/0.55 (step @p52 :rule trans :premises (@p51 @p45)) % 0.32/0.55 (step @p53 :rule cong :premises (@p52) :args (@t15)) % 0.32/0.55 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 0.32/0.55 (step @p55 :rule not_and :premises (@p54)) % 0.32/0.55 (step @p56 :rule reordering :premises (@p55) :args ((or (not @t41) (not @t40) (not @t6) @t33 @t42))) % 0.32/0.55 (step @p57 :rule chain_m_resolution :premises (@p56 @p44 @p43 @p2 @p36) :args (@t42 (@list false false false false) (@list @t41 @t40 @t6 @t24))) % 0.32/0.55 (step @p58 :rule refl :args (@t45)) % 0.32/0.55 (step @p59 :rule bool-double-not-elim :args (@t16)) % 0.32/0.55 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t42) @t45))) % 0.32/0.55 (assume-push @p84 @t42) % 0.32/0.55 (step @p62 :rule skolemize :premises (@p84)) % 0.32/0.55 (step-pop @p85 :rule scope :premises (@p62)) % 0.32/0.55 (step @p63 :rule process_scope :premises (@p85) :args (@t45)) % 0.32/0.55 (step @p65 :rule implies_elim :premises (@p63)) % 0.32/0.55 (step @p66 :rule eq_resolve :premises (@p65 @p60)) % 0.32/0.55 (step @p67 :rule chain_m_resolution :premises (@p66 @p57) :args (@t45 @t46 (@list @t16))) % 0.32/0.55 (step @p68 :rule bool-double-not-elim :args (@t20)) % 0.32/0.55 (step @p69 :rule refl :args (@t44)) % 0.32/0.55 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t44 (not @t43)))) % 0.32/0.55 (step @p71 :rule cnf_or_neg :args (@t44 0)) % 0.32/0.55 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.32/0.55 (step @p73 :rule reordering :premises (@p72) :args ((or @t20 @t44))) % 0.32/0.55 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t20 @t46 @t47)) % 0.32/0.55 (step @p75 :rule cnf_or_neg :args (@t44 1)) % 0.32/0.55 (step @p76 :rule chain_m_resolution :premises (@p75 @p67) :args ((not @t19) @t46 @t47)) % 0.32/0.55 (step @p77 :rule cnf_equiv_pos1 :args (@t22)) % 0.32/0.55 (step @p78 :rule reordering :premises (@p77) :args ((or @t43 @t19 (not @t22)))) % 0.32/0.55 (step @p79 false :rule chain_m_resolution :premises (@p78 @p76 @p74 @p15) :args (false (@list true false false) (@list @t19 @t20 @t22))) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting %------------------------------------------------------------------------------