%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS163+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 : n007.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 08:29:02 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : KRS163+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n007.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 05:27:42 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.ia $$unsorted) % 0.38/0.56 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.ib $$unsorted) % 0.38/0.56 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.cB (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t3 () (= @t2 @t1)) % 0.38/0.56 (define @t4 () (@list @t2 @t1)) % 0.38/0.56 (define @t5 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t6 () (not (tptp.cowlNothing @t5))) % 0.38/0.56 (define @t7 () (tptp.cowlThing @t5)) % 0.38/0.56 (define @t8 () (@list @t5)) % 0.38/0.56 (define @t9 () (forall @t8 (and @t7 @t6))) % 0.38/0.56 (define @t10 () (forall @t8 (= (tptp.xsd_string @t5) (not (tptp.xsd_integer @t5))))) % 0.38/0.56 (define @t11 () (tptp.cowlThing tptp.ia)) % 0.38/0.56 (define @t12 () (tptp.cB tptp.ib)) % 0.38/0.56 (define @t13 () (tptp.cowlThing tptp.ib)) % 0.38/0.56 (define @t14 () (tptp.cA @t5)) % 0.38/0.56 (define @t15 () (tptp.cB @t5)) % 0.38/0.56 (define @t16 () (forall @t8 (not (and @t15 @t14)))) % 0.38/0.56 (define @t17 () (= tptp.ia tptp.ib)) % 0.38/0.56 (define @t18 () (not @t17)) % 0.38/0.56 (define @t19 () (and @t9 @t10 @t11 @t13 @t18)) % 0.38/0.56 (define @t20 () (not @t19)) % 0.38/0.56 (define @t21 () (forall @t8 @t6)) % 0.38/0.56 (define @t22 () (@list @t5)) % 0.38/0.56 (define @t23 () (@var "BOUND_VARIABLE_7557" $$unsorted)) % 0.38/0.56 (define @t24 () (forall @t8 @t7)) % 0.38/0.56 (define @t25 () (@var "BOUND_VARIABLE_7552" $$unsorted)) % 0.38/0.56 (define @t26 () (and @t24 @t21)) % 0.38/0.56 (define @t27 () (forall (@list @t23) (not (tptp.cowlNothing @t23)))) % 0.38/0.56 (define @t28 () (not @t27)) % 0.38/0.56 (define @t29 () (forall (@list @t25) (tptp.cowlThing @t25))) % 0.38/0.56 (define @t30 () (not @t29)) % 0.38/0.56 (define @t31 () (not @t13)) % 0.38/0.56 (define @t32 () (not @t11)) % 0.38/0.56 (define @t33 () (not @t10)) % 0.38/0.56 (define @t34 () (tptp.cA tptp.ib)) % 0.38/0.56 (define @t35 () (not @t34)) % 0.38/0.56 (define @t36 () (not @t12)) % 0.38/0.56 (define @t37 () (or @t36 @t35)) % 0.38/0.56 (define @t38 () (not @t37)) % 0.38/0.56 (define @t39 () (forall @t8 (or (not @t15) (not @t14)))) % 0.38/0.56 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cA @t2)) (tptp.cA @t1)))) % 0.38/0.56 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cB @t2)) (tptp.cB @t1)))) % 0.38/0.56 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.38/0.56 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.38/0.56 (assume @p5 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.38/0.56 (assume @p6 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.38/0.56 (assume @p7 @t9) % 0.38/0.56 (assume @p8 @t10) % 0.38/0.56 (assume @p9 (tptp.cA tptp.ia)) % 0.38/0.56 (assume @p10 @t11) % 0.38/0.56 (assume @p11 @t12) % 0.38/0.56 (assume @p12 @t13) % 0.38/0.56 (assume @p13 @t16) % 0.38/0.56 (assume @p14 @t20) % 0.38/0.56 (assume @p15 true) % 0.38/0.56 (step @p16 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16) :args (@t16)) % 0.38/0.56 (step @p18 :rule eq_resolve :premises (@p13 @p17)) % 0.38/0.56 (step @p19 :rule true_intro :premises (@p9)) % 0.38/0.56 (step @p20 :rule alpha_equiv :args (@t21 @t22 (@list @t23))) % 0.38/0.56 (step @p21 :rule alpha_equiv :args (@t24 @t22 (@list @t25))) % 0.38/0.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t26)) % 0.38/0.56 (step @p23 :rule quant-miniscope-and :args ((= @t9 @t26))) % 0.38/0.56 (step @p24 :rule trans :premises (@p23 @p22)) % 0.38/0.56 (step @p25 :rule eq_resolve :premises (@p7 @p24)) % 0.38/0.56 (step @p26 :rule and_elim :premises (@p25) :args (1)) % 0.38/0.56 (step @p27 :rule and_elim :premises (@p25) :args (0)) % 0.38/0.56 (step @p28 :rule refl :args (@t28)) % 0.38/0.56 (step @p29 :rule refl :args (@t30)) % 0.38/0.56 (step @p30 :rule bool-double-not-elim :args (@t17)) % 0.38/0.56 (step @p31 :rule refl :args (@t31)) % 0.38/0.56 (step @p32 :rule refl :args (@t32)) % 0.38/0.56 (step @p33 :rule refl :args (@t33)) % 0.38/0.56 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31 @p30 @p29 @p28) :args ((or @t33 @t32 @t31 (not @t18) @t30 @t28))) % 0.38/0.56 (step @p35 :rule aci_norm :args ((= (and (and @t29 @t27) @t10 @t11 @t13 @t18) (and @t10 @t11 @t13 @t18 @t29 @t27)))) % 0.38/0.56 (step @p36 :rule refl :args (@t18)) % 0.38/0.56 (step @p37 :rule refl :args (@t13)) % 0.38/0.56 (step @p38 :rule refl :args (@t11)) % 0.38/0.56 (step @p39 :rule refl :args (@t10)) % 0.38/0.56 (step @p40 :rule nary_cong :premises (@p24 @p39 @p38 @p37 @p36) :args (@t19)) % 0.38/0.56 (step @p41 :rule trans :premises (@p40 @p35)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41) :args (@t20)) % 0.38/0.57 (step @p43 :rule eq_resolve :premises (@p14 @p42)) % 0.38/0.57 (step @p44 :rule not_and :premises (@p43)) % 0.38/0.57 (step @p45 :rule eq_resolve :premises (@p44 @p34)) % 0.38/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t17 @t30 @t28 @t33 @t32 @t31))) % 0.38/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p27 @p26 @p8 @p10 @p12) :args (@t17 (@list false false false false false) (@list @t29 @t27 @t10 @t11 @t13))) % 0.38/0.57 (step @p48 :rule symm :premises (@p47)) % 0.38/0.57 (step @p49 :rule cong :premises (@p48) :args (@t34)) % 0.38/0.57 (step @p50 :rule trans :premises (@p49 @p19)) % 0.38/0.57 (step @p51 :rule true_elim :premises (@p50)) % 0.38/0.57 (step @p52 :rule cnf_or_pos :args (@t37)) % 0.38/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t36 @t35 @t38))) % 0.38/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p11 @p51) :args (@t38 (@list false false) (@list @t12 @t34))) % 0.38/0.57 (assume-push @p61 @t39) % 0.38/0.57 (step @p56 :rule instantiate :premises (@p18) :args ((@list tptp.ib))) % 0.38/0.57 (step-pop @p62 :rule scope :premises (@p56)) % 0.38/0.57 (step @p57 :rule process_scope :premises (@p62) :args (@t37)) % 0.38/0.57 (step @p59 :rule implies_elim :premises (@p57)) % 0.38/0.57 (step @p60 false :rule chain_m_resolution :premises (@p59 @p54 @p18) :args (false (@list true false) (@list @t37 @t39))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------