%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS168+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 : n028.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 0.33s 0.55s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS168+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 : n028.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 05:28:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.33/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.55 % SZS status Theorem % 0.33/0.55 % SZS output start Proof % 0.33/0.55 ( % 0.33/0.55 (declare-sort $$unsorted 0) % 0.33/0.55 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.33/0.55 (declare-const tptp.cB (-> $$unsorted Bool)) % 0.33/0.55 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.33/0.55 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.33/0.55 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.33/0.55 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.33/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.33/0.55 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.33/0.55 (define @t3 () (tptp.cowlThing @t1)) % 0.33/0.55 (define @t4 () (@list @t1)) % 0.33/0.55 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.33/0.55 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.33/0.55 (define @t7 () (tptp.cB @t1)) % 0.33/0.55 (define @t8 () (tptp.cA @t1)) % 0.33/0.55 (define @t9 () (not @t8)) % 0.33/0.55 (define @t10 () (not @t7)) % 0.33/0.55 (define @t11 () (and @t10 @t9)) % 0.33/0.55 (define @t12 () (= @t11 (not (or @t8 @t7)))) % 0.33/0.55 (define @t13 () (forall @t4 @t12)) % 0.33/0.55 (define @t14 () (and @t5 @t6 @t13)) % 0.33/0.55 (define @t15 () (not @t14)) % 0.33/0.55 (define @t16 () (forall @t4 @t2)) % 0.33/0.55 (define @t17 () (@list @t1)) % 0.33/0.55 (define @t18 () (@var "BOUND_VARIABLE_7442" $$unsorted)) % 0.33/0.55 (define @t19 () (forall @t4 @t3)) % 0.33/0.55 (define @t20 () (@var "BOUND_VARIABLE_7437" $$unsorted)) % 0.33/0.55 (define @t21 () (and @t19 @t16)) % 0.33/0.55 (define @t22 () (forall (@list @t18) (not (tptp.cowlNothing @t18)))) % 0.33/0.55 (define @t23 () (forall (@list @t20) (tptp.cowlThing @t20))) % 0.33/0.55 (define @t24 () (forall @t4 (= @t11 (and @t9 @t10)))) % 0.33/0.55 (define @t25 () (not @t24)) % 0.33/0.55 (define @t26 () (@quantifiers_skolemize @t24 0)) % 0.33/0.55 (define @t27 () (tptp.cB @t26)) % 0.33/0.55 (define @t28 () (not @t27)) % 0.33/0.55 (define @t29 () (tptp.cA @t26)) % 0.33/0.55 (define @t30 () (not @t29)) % 0.33/0.55 (define @t31 () (and @t30 @t28)) % 0.33/0.55 (define @t32 () (and @t28 @t30)) % 0.33/0.55 (define @t33 () (= @t32 @t31)) % 0.33/0.55 (define @t34 () (not @t28)) % 0.33/0.55 (define @t35 () (not @t30)) % 0.33/0.55 (define @t36 () (not @t32)) % 0.33/0.55 (define @t37 () (not @t31)) % 0.33/0.55 (define @t38 () (@list false)) % 0.33/0.55 (define @t39 () (@list @t27)) % 0.33/0.55 (assume @p1 @t5) % 0.33/0.55 (assume @p2 @t6) % 0.33/0.55 (assume @p3 @t15) % 0.33/0.55 (assume @p4 true) % 0.33/0.55 (step @p5 :rule alpha_equiv :args (@t16 @t17 (@list @t18))) % 0.33/0.55 (step @p6 :rule alpha_equiv :args (@t19 @t17 (@list @t20))) % 0.33/0.55 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t21)) % 0.33/0.55 (step @p8 :rule quant-miniscope-and :args ((= @t5 @t21))) % 0.33/0.55 (step @p9 :rule trans :premises (@p8 @p7)) % 0.33/0.55 (step @p10 :rule eq_resolve :premises (@p1 @p9)) % 0.33/0.55 (step @p11 :rule and_elim :premises (@p10) :args (1)) % 0.33/0.55 (step @p12 :rule and_elim :premises (@p10) :args (0)) % 0.33/0.55 (step @p13 :rule aci_norm :args ((= (and (and @t23 @t22) @t6 @t24) (and @t6 @t24 @t23 @t22)))) % 0.33/0.55 (step @p14 :rule bool-or-de-morgan :args (@t8 @t7 false)) % 0.33/0.55 (step @p15 :rule refl :args (@t11)) % 0.33/0.55 (step @p16 :rule cong :premises (@p15 @p14) :args (@t12)) % 0.33/0.55 (step @p17 :rule cong :premises (@p16) :args (@t13)) % 0.33/0.55 (step @p18 :rule refl :args (@t6)) % 0.33/0.55 (step @p19 :rule nary_cong :premises (@p9 @p18 @p17) :args (@t14)) % 0.33/0.55 (step @p20 :rule trans :premises (@p19 @p13)) % 0.33/0.55 (step @p21 :rule cong :premises (@p20) :args (@t15)) % 0.33/0.55 (step @p22 :rule eq_resolve :premises (@p3 @p21)) % 0.33/0.55 (step @p23 :rule not_and :premises (@p22)) % 0.33/0.55 (step @p24 :rule reordering :premises (@p23) :args ((or (not @t23) (not @t22) (not @t6) @t25))) % 0.33/0.55 (step @p25 :rule chain_m_resolution :premises (@p24 @p12 @p11 @p2) :args (@t25 (@list false false false) (@list @t23 @t22 @t6))) % 0.33/0.55 (step @p26 :rule skolemize :premises (@p25)) % 0.33/0.55 (step @p27 :rule cnf_equiv_neg1 :args (@t33)) % 0.33/0.55 (step @p28 :rule reordering :premises (@p27) :args ((or @t32 @t31 @t33))) % 0.33/0.55 (step @p29 :rule bool-double-not-elim :args (@t27)) % 0.33/0.55 (step @p30 :rule bool-double-not-elim :args (@t29)) % 0.33/0.55 (step @p31 :rule refl :args (@t31)) % 0.33/0.55 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args ((or @t31 @t35 @t34))) % 0.33/0.55 (step @p33 :rule cnf_and_neg :args (@t31)) % 0.33/0.55 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 0.33/0.55 (step @p35 :rule reordering :premises (@p34) :args ((or @t27 @t29 @t31))) % 0.33/0.55 (step @p36 :rule cnf_and_pos :args (@t32 1)) % 0.33/0.55 (step @p37 :rule reordering :premises (@p36) :args ((or @t30 @t36))) % 0.33/0.55 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p28 @p26) :args ((or @t27 @t31) (@list false false true) (@list @t29 @t32 @t33))) % 0.33/0.55 (step @p39 :rule cnf_and_pos :args (@t31 0)) % 0.33/0.55 (step @p40 :rule reordering :premises (@p39) :args ((or @t30 @t37))) % 0.33/0.55 (step @p41 :rule cnf_equiv_neg2 :args (@t33)) % 0.33/0.55 (step @p42 :rule refl :args (@t32)) % 0.33/0.55 (step @p43 :rule nary_cong :premises (@p42 @p29 @p30) :args ((or @t32 @t34 @t35))) % 0.33/0.55 (step @p44 :rule cnf_and_neg :args (@t32)) % 0.33/0.55 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.33/0.55 (step @p46 :rule reordering :premises (@p45) :args ((or @t27 @t29 @t32))) % 0.33/0.55 (step @p47 :rule chain_m_resolution :premises (@p46 @p41 @p26 @p40 @p38) :args (@t27 (@list true true true false) (@list @t32 @t33 @t29 @t31))) % 0.33/0.55 (step @p48 :rule cnf_and_pos :args (@t32 0)) % 0.33/0.55 (step @p49 :rule reordering :premises (@p48) :args ((or @t28 @t36))) % 0.33/0.55 (step @p50 :rule chain_m_resolution :premises (@p49 @p47) :args (@t36 @t38 @t39)) % 0.33/0.55 (step @p51 :rule cnf_and_pos :args (@t31 1)) % 0.33/0.55 (step @p52 :rule reordering :premises (@p51) :args ((or @t28 @t37))) % 0.33/0.55 (step @p53 :rule chain_m_resolution :premises (@p52 @p47) :args (@t37 @t38 @t39)) % 0.33/0.55 (step @p54 false :rule chain_m_resolution :premises (@p28 @p53 @p50 @p26) :args (false (@list true true true) (@list @t31 @t32 @t33))) % 0.33/0.55 ) % 0.33/0.55 % SZS output end Proof % 0.33/0.55 % cvc5 exiting %------------------------------------------------------------------------------