%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS160+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 : n020.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 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS160+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 05:28:41 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.iV21081 $$unsorted) % 0.39/0.57 (declare-const tptp.iV21080 $$unsorted) % 0.39/0.57 (declare-const tptp.cTEST (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.ra_Px2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cC6xcomp (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cC2 (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cC8 (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cC4 (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cC2xcomp (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cC10 (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.ra_Px4 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.rR1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cC12 (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cC8xcomp (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cC6 (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.39/0.57 (define @t3 () (tptp.cowlThing @t1)) % 0.39/0.57 (define @t4 () (@list @t1)) % 0.39/0.57 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.39/0.57 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.39/0.57 (define @t7 () (tptp.cC2 @t1)) % 0.39/0.57 (define @t8 () (tptp.cC4 @t1)) % 0.39/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t10 () (tptp.rR1 @t1 @t9)) % 0.39/0.57 (define @t11 () (@list @t9)) % 0.39/0.57 (define @t12 () (tptp.cC12 @t1)) % 0.39/0.57 (define @t13 () (@var "Y0" $$unsorted)) % 0.39/0.57 (define @t14 () (@list @t13)) % 0.39/0.57 (define @t15 () (tptp.cC2xcomp @t1)) % 0.39/0.57 (define @t16 () (tptp.cC6 @t1)) % 0.39/0.57 (define @t17 () (tptp.cC6xcomp @t1)) % 0.39/0.57 (define @t18 () (tptp.cC8 @t1)) % 0.39/0.57 (define @t19 () (tptp.cC8xcomp @t1)) % 0.39/0.57 (define @t20 () (tptp.cTEST tptp.iV21080)) % 0.39/0.57 (define @t21 () (tptp.cC8xcomp tptp.iV21080)) % 0.39/0.57 (define @t22 () (tptp.cowlThing tptp.iV21080)) % 0.39/0.57 (define @t23 () (tptp.cC4 tptp.iV21081)) % 0.39/0.57 (define @t24 () (tptp.cC2 tptp.iV21081)) % 0.39/0.57 (define @t25 () (tptp.cowlThing tptp.iV21081)) % 0.39/0.57 (define @t26 () (tptp.cC10 tptp.iV21081)) % 0.39/0.57 (define @t27 () (tptp.cC12 tptp.iV21080)) % 0.39/0.57 (define @t28 () (and @t5 @t6 @t22 @t27 @t26 @t25)) % 0.39/0.57 (define @t29 () (not @t28)) % 0.39/0.57 (define @t30 () (and @t21 @t27)) % 0.39/0.57 (define @t31 () (= @t20 @t30)) % 0.39/0.57 (define @t32 () (@list false false)) % 0.39/0.57 (define @t33 () (and @t23 @t24)) % 0.39/0.57 (define @t34 () (= @t26 @t33)) % 0.39/0.57 (define @t35 () (forall @t4 @t2)) % 0.39/0.57 (define @t36 () (@list @t1)) % 0.39/0.57 (define @t37 () (@var "BOUND_VARIABLE_7522" $$unsorted)) % 0.39/0.57 (define @t38 () (forall @t4 @t3)) % 0.39/0.57 (define @t39 () (@var "BOUND_VARIABLE_7517" $$unsorted)) % 0.39/0.57 (define @t40 () (and @t38 @t35)) % 0.39/0.57 (define @t41 () (forall (@list @t37) (not (tptp.cowlNothing @t37)))) % 0.39/0.57 (define @t42 () (forall (@list @t39) (tptp.cowlThing @t39))) % 0.39/0.57 (define @t43 () (not @t27)) % 0.39/0.57 (assume @p1 @t5) % 0.39/0.57 (assume @p2 @t6) % 0.39/0.57 (assume @p3 (forall @t4 (= (tptp.cC10 @t1) (and @t8 @t7)))) % 0.39/0.57 (assume @p4 (forall @t4 (= @t12 (exists @t11 (and @t10 (tptp.cC10 @t9)))))) % 0.39/0.57 (assume @p5 (forall @t4 (= @t7 (not (exists @t11 (tptp.ra_Px1 @t1 @t9)))))) % 0.39/0.57 (assume @p6 (forall @t4 (= @t15 (exists @t14 (tptp.ra_Px1 @t1 @t13))))) % 0.39/0.57 (assume @p7 (forall @t4 (= @t16 (and @t15 @t8)))) % 0.39/0.57 (assume @p8 (forall @t4 (= @t16 (not (exists @t11 (tptp.ra_Px4 @t1 @t9)))))) % 0.39/0.57 (assume @p9 (forall @t4 (= @t17 (exists @t14 (tptp.ra_Px4 @t1 @t13))))) % 0.39/0.57 (assume @p10 (forall @t4 (= @t18 (exists @t14 (tptp.ra_Px2 @t1 @t13))))) % 0.39/0.57 (assume @p11 (forall @t4 (= @t18 (exists @t11 (and @t10 (tptp.cC6 @t9)))))) % 0.39/0.57 (assume @p12 (forall @t4 (= @t19 (not (exists @t11 (tptp.ra_Px2 @t1 @t9)))))) % 0.39/0.57 (assume @p13 (forall @t4 (= (tptp.cTEST @t1) (and @t19 @t12)))) % 0.39/0.57 (assume @p14 @t20) % 0.39/0.57 (assume @p15 @t21) % 0.39/0.57 (assume @p16 @t22) % 0.39/0.57 (assume @p17 (forall @t4 (=> (tptp.rR1 tptp.iV21080 @t1) @t17))) % 0.39/0.57 (assume @p18 (tptp.rR1 tptp.iV21080 tptp.iV21081)) % 0.39/0.57 (assume @p19 @t23) % 0.39/0.57 (assume @p20 (tptp.cC6xcomp tptp.iV21081)) % 0.39/0.57 (assume @p21 @t24) % 0.39/0.57 (assume @p22 @t25) % 0.39/0.57 (assume @p23 @t29) % 0.39/0.57 (assume @p24 true) % 0.39/0.57 (step @p25 :rule instantiate :premises (@p13) :args ((@list tptp.iV21080))) % 0.39/0.57 (step @p26 :rule cnf_equiv_pos1 :args (@t31)) % 0.39/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or (not @t20) @t30 (not @t31)))) % 0.39/0.57 (step @p28 :rule chain_m_resolution :premises (@p27 @p14 @p25) :args (@t30 @t32 (@list @t20 @t31))) % 0.39/0.57 (step @p29 :rule instantiate :premises (@p3) :args ((@list tptp.iV21081))) % 0.39/0.57 (step @p30 :rule cnf_and_neg :args (@t33)) % 0.39/0.57 (step @p31 :rule reordering :premises (@p30) :args ((or (not @t23) (not @t24) @t33))) % 0.39/0.57 (step @p32 :rule chain_m_resolution :premises (@p31 @p19 @p21) :args (@t33 @t32 (@list @t23 @t24))) % 0.39/0.57 (step @p33 :rule cnf_equiv_pos2 :args (@t34)) % 0.39/0.57 (step @p34 :rule reordering :premises (@p33) :args ((or @t26 (not @t33) (not @t34)))) % 0.39/0.57 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p29) :args (@t26 @t32 (@list @t33 @t34))) % 0.39/0.57 (step @p36 :rule alpha_equiv :args (@t35 @t36 (@list @t37))) % 0.39/0.57 (step @p37 :rule alpha_equiv :args (@t38 @t36 (@list @t39))) % 0.39/0.57 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t40)) % 0.39/0.57 (step @p39 :rule quant-miniscope-and :args ((= @t5 @t40))) % 0.39/0.57 (step @p40 :rule trans :premises (@p39 @p38)) % 0.39/0.57 (step @p41 :rule eq_resolve :premises (@p1 @p40)) % 0.39/0.57 (step @p42 :rule and_elim :premises (@p41) :args (1)) % 0.39/0.57 (step @p43 :rule and_elim :premises (@p41) :args (0)) % 0.39/0.57 (step @p44 :rule aci_norm :args ((= (and (and @t42 @t41) @t6 @t22 @t27 @t26 @t25) (and @t6 @t22 @t27 @t26 @t25 @t42 @t41)))) % 0.39/0.57 (step @p45 :rule refl :args (@t25)) % 0.39/0.57 (step @p46 :rule refl :args (@t26)) % 0.39/0.57 (step @p47 :rule refl :args (@t27)) % 0.39/0.57 (step @p48 :rule refl :args (@t22)) % 0.39/0.57 (step @p49 :rule refl :args (@t6)) % 0.39/0.57 (step @p50 :rule nary_cong :premises (@p40 @p49 @p48 @p47 @p46 @p45) :args (@t28)) % 0.39/0.57 (step @p51 :rule trans :premises (@p50 @p44)) % 0.39/0.57 (step @p52 :rule cong :premises (@p51) :args (@t29)) % 0.39/0.57 (step @p53 :rule eq_resolve :premises (@p23 @p52)) % 0.39/0.57 (step @p54 :rule not_and :premises (@p53)) % 0.39/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or (not @t42) (not @t41) (not @t6) (not @t22) (not @t25) @t43 (not @t26)))) % 0.39/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p43 @p42 @p2 @p16 @p22 @p35) :args (@t43 (@list false false false false false false) (@list @t42 @t41 @t6 @t22 @t25 @t26))) % 0.39/0.57 (step @p57 :rule cnf_and_pos :args (@t30 1)) % 0.39/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t27 (not @t30)))) % 0.39/0.57 (step @p59 false :rule chain_m_resolution :premises (@p58 @p56 @p28) :args (false (@list true false) (@list @t27 @t30))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------