%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM472+2 : TPTP v9.2.1. Released v4.0.0. % 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 08:39:32 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM472+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n014.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 11:22:43 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.xq $$unsorted) % 0.39/0.60 (declare-const tptp.xp $$unsorted) % 0.39/0.60 (declare-const tptp.sz10 $$unsorted) % 0.39/0.60 (declare-const tptp.xl $$unsorted) % 0.39/0.60 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.sz00 $$unsorted) % 0.39/0.60 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.xn $$unsorted) % 0.39/0.60 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.xm $$unsorted) % 0.39/0.60 (define @t1 () (@var "W0" $$unsorted)) % 0.39/0.60 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.39/0.61 (define @t3 () (@list @t1)) % 0.39/0.61 (define @t4 () (@var "W1" $$unsorted)) % 0.39/0.61 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.39/0.61 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 0.39/0.61 (define @t7 () (and @t2 @t6)) % 0.39/0.61 (define @t8 () (@list @t1 @t4)) % 0.39/0.61 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 0.39/0.61 (define @t10 () (tptp.sdtpldt0 @t4 @t1)) % 0.39/0.61 (define @t11 () (@var "W2" $$unsorted)) % 0.39/0.61 (define @t12 () (tptp.sdtpldt0 @t4 @t11)) % 0.39/0.61 (define @t13 () (tptp.aNaturalNumber0 @t11)) % 0.39/0.61 (define @t14 () (and @t2 @t6 @t13)) % 0.39/0.61 (define @t15 () (@list @t1 @t4 @t11)) % 0.39/0.61 (define @t16 () (tptp.sdtasdt0 @t4 @t1)) % 0.39/0.61 (define @t17 () (tptp.sdtasdt0 @t11 @t1)) % 0.39/0.61 (define @t18 () (tptp.sdtasdt0 @t1 @t11)) % 0.39/0.61 (define @t19 () (= @t4 @t11)) % 0.39/0.61 (define @t20 () (tptp.sdtpldt0 @t11 @t1)) % 0.39/0.61 (define @t21 () (tptp.sdtpldt0 @t1 @t11)) % 0.39/0.61 (define @t22 () (= @t16 @t17)) % 0.39/0.61 (define @t23 () (= @t9 @t18)) % 0.39/0.61 (define @t24 () (= @t1 tptp.sz00)) % 0.39/0.61 (define @t25 () (not @t24)) % 0.39/0.61 (define @t26 () (= @t4 tptp.sz00)) % 0.39/0.61 (define @t27 () (and @t13 (= @t21 @t4))) % 0.39/0.61 (define @t28 () (@list @t11)) % 0.39/0.61 (define @t29 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.39/0.61 (define @t30 () (= @t1 @t4)) % 0.39/0.61 (define @t31 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.39/0.61 (define @t32 () (tptp.sdtlseqdt0 @t4 @t11)) % 0.39/0.61 (define @t33 () (tptp.sdtpldt0 @t11 @t4)) % 0.39/0.61 (define @t34 () (and (not @t30) @t29)) % 0.39/0.61 (define @t35 () (tptp.iLess0 @t1 @t4)) % 0.39/0.61 (define @t36 () (and @t13 (= @t4 @t18))) % 0.39/0.61 (define @t37 () (tptp.doDivides0 @t1 @t4)) % 0.39/0.61 (define @t38 () (tptp.doDivides0 @t1 @t11)) % 0.39/0.61 (define @t39 () (tptp.aNaturalNumber0 tptp.xn)) % 0.39/0.61 (define @t40 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 0.39/0.61 (define @t41 () (tptp.sdtasdt0 tptp.xl @t1)) % 0.39/0.61 (define @t42 () (tptp.sdtlseqdt0 tptp.xm @t40)) % 0.39/0.61 (define @t43 () (tptp.sdtpldt0 tptp.xm @t1)) % 0.39/0.61 (define @t44 () (and @t2 (= @t43 @t40))) % 0.39/0.61 (define @t45 () (exists @t3 @t44)) % 0.39/0.61 (define @t46 () (or @t45 @t42)) % 0.39/0.61 (define @t47 () (not @t46)) % 0.39/0.61 (define @t48 () (= @t40 @t43)) % 0.39/0.61 (define @t49 () (and @t2 @t48)) % 0.39/0.61 (define @t50 () (forall @t3 (not @t49))) % 0.39/0.61 (define @t51 () (not @t50)) % 0.39/0.61 (define @t52 () (not @t39)) % 0.39/0.61 (define @t53 () (not (= @t40 @t40))) % 0.39/0.61 (define @t54 () (or @t52 @t53)) % 0.39/0.61 (define @t55 () (forall @t3 (or (not @t2) (not @t48)))) % 0.39/0.61 (assume @p1 (forall @t3 (=> @t2 true))) % 0.39/0.61 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.39/0.61 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.39/0.61 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 0.39/0.61 (assume @p5 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t9)))) % 0.39/0.61 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t10)))) % 0.39/0.61 (assume @p7 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t5 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 0.39/0.61 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.39/0.61 (assume @p9 (forall @t8 (=> @t7 (= @t9 @t16)))) % 0.39/0.61 (assume @p10 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t9 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t11)))))) % 0.39/0.61 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.39/0.61 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.39/0.61 (assume @p13 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t9 @t18)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 @t17)))))) % 0.39/0.61 (assume @p14 (forall @t15 (=> @t14 (=> (or (= @t5 @t21) (= @t10 @t20)) @t19)))) % 0.39/0.61 (assume @p15 (forall @t3 (=> @t2 (=> @t25 (forall (@list @t4 @t11) (=> (and @t6 @t13) (=> (or @t23 @t22) @t19))))))) % 0.39/0.61 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t24 @t26))))) % 0.39/0.61 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t24 @t26))))) % 0.39/0.61 (assume @p18 (forall @t8 (=> @t7 (= @t29 (exists @t28 @t27))))) % 0.39/0.61 (assume @p19 (forall @t8 (=> @t7 (=> @t29 (forall @t28 (= (= @t11 (tptp.sdtmndt0 @t4 @t1)) @t27)))))) % 0.39/0.61 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.39/0.61 (assume @p21 (forall @t8 (=> @t7 (=> (and @t29 @t31) @t30)))) % 0.39/0.61 (assume @p22 (forall @t15 (=> @t14 (=> (and @t29 @t32) (tptp.sdtlseqdt0 @t1 @t11))))) % 0.39/0.61 (assume @p23 (forall @t8 (=> @t7 (or @t29 (and (not (= @t4 @t1)) @t31))))) % 0.39/0.61 (assume @p24 (forall @t8 (=> @t7 (=> @t34 (forall @t28 (=> @t13 (and (not (= @t20 @t33)) (tptp.sdtlseqdt0 @t20 @t33) (not (= @t21 @t12)) (tptp.sdtlseqdt0 @t21 @t12)))))))) % 0.39/0.61 (assume @p25 (forall @t15 (=> @t14 (=> (and @t25 (not @t19) @t32) (and (not @t23) (tptp.sdtlseqdt0 @t9 @t18) (not @t22) (tptp.sdtlseqdt0 @t16 @t17)))))) % 0.39/0.61 (assume @p26 (forall @t3 (=> @t2 (or @t24 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.39/0.61 (assume @p27 (forall @t8 (=> @t7 (=> @t25 (tptp.sdtlseqdt0 @t4 @t16))))) % 0.39/0.61 (assume @p28 (forall @t8 (=> @t7 (=> @t35 true)))) % 0.39/0.61 (assume @p29 (forall @t8 (=> @t7 (=> @t34 @t35)))) % 0.39/0.61 (assume @p30 (forall @t8 (=> @t7 (= @t37 (exists @t28 @t36))))) % 0.39/0.61 (assume @p31 (forall @t8 (=> @t7 (=> (and @t25 @t37) (forall @t28 (= (= @t11 (tptp.sdtsldt0 @t4 @t1)) @t36)))))) % 0.39/0.61 (assume @p32 (forall @t15 (=> @t14 (=> (and @t37 (tptp.doDivides0 @t4 @t11)) @t38)))) % 0.39/0.61 (assume @p33 (forall @t15 (=> @t14 (=> (and @t37 @t38) (tptp.doDivides0 @t1 @t12))))) % 0.39/0.61 (assume @p34 (and (tptp.aNaturalNumber0 tptp.xl) (tptp.aNaturalNumber0 tptp.xm) @t39)) % 0.39/0.61 (assume @p35 (and (exists @t3 (and @t2 (= tptp.xm @t41))) (tptp.doDivides0 tptp.xl tptp.xm) (exists @t3 (and @t2 (= @t40 @t41))) (tptp.doDivides0 tptp.xl @t40))) % 0.39/0.61 (assume @p36 (not (= tptp.xl tptp.sz00))) % 0.39/0.61 (assume @p37 (and (tptp.aNaturalNumber0 tptp.xp) (= tptp.xm (tptp.sdtasdt0 tptp.xl tptp.xp)) (= tptp.xp (tptp.sdtsldt0 tptp.xm tptp.xl)))) % 0.39/0.61 (assume @p38 (and (tptp.aNaturalNumber0 tptp.xq) (= @t40 (tptp.sdtasdt0 tptp.xl tptp.xq)) (= tptp.xq (tptp.sdtsldt0 @t40 tptp.xl)))) % 0.39/0.61 (assume @p39 @t47) % 0.39/0.61 (assume @p40 true) % 0.39/0.61 (step @p41 :rule and_elim :premises (@p34) :args (2)) % 0.39/0.61 (step @p42 :rule refl :args (@t42)) % 0.39/0.61 (step @p43 :rule bool-and-de-morgan :args (@t2 @t48 true)) % 0.39/0.61 (step @p44 :rule cong :premises (@p43) :args (@t50)) % 0.39/0.61 (step @p45 :rule cong :premises (@p44) :args (@t51)) % 0.39/0.61 (step @p46 :rule exists-elim :args ((= (exists @t3 @t49) @t51))) % 0.39/0.61 (step @p47 :rule trans :premises (@p46 @p45)) % 0.39/0.61 (step @p48 :rule eq-symm :args (@t43 @t40)) % 0.39/0.61 (step @p49 :rule refl :args (@t2)) % 0.39/0.61 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t44)) % 0.39/0.61 (step @p51 :rule cong :premises (@p50) :args (@t45)) % 0.39/0.61 (step @p52 :rule trans :premises (@p51 @p47)) % 0.39/0.61 (step @p53 :rule nary_cong :premises (@p52 @p42) :args (@t46)) % 0.39/0.61 (step @p54 :rule cong :premises (@p53) :args (@t47)) % 0.39/0.61 (step @p55 :rule eq_resolve :premises (@p39 @p54)) % 0.39/0.61 (step @p56 :rule not_or_elim :premises (@p55) :args (0)) % 0.39/0.61 (step @p57 :rule not_not_elim :premises (@p56)) % 0.39/0.61 (step @p58 :rule aci_norm :args ((= (or @t52 false) @t52))) % 0.39/0.61 (step @p59 :rule evaluate :args ((not true))) % 0.39/0.61 (step @p60 :rule eq-refl :args (@t40)) % 0.39/0.61 (step @p61 :rule cong :premises (@p60) :args (@t53)) % 0.39/0.61 (step @p62 :rule trans :premises (@p61 @p59)) % 0.39/0.61 (step @p63 :rule refl :args (@t52)) % 0.39/0.61 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t54)) % 0.39/0.61 (step @p65 :rule trans :premises (@p64 @p58)) % 0.39/0.61 (step @p66 :rule refl :args (@t55)) % 0.39/0.61 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t55 @t54))) % 0.39/0.61 (assume-push @p75 @t55) % 0.39/0.61 (step @p69 :rule instantiate :premises (@p57) :args ((@list tptp.xn))) % 0.39/0.61 (step-pop @p76 :rule scope :premises (@p69)) % 0.39/0.61 (step @p70 :rule process_scope :premises (@p76) :args (@t54)) % 0.39/0.61 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.39/0.61 (step @p73 :rule implies_elim :premises (@p72)) % 0.39/0.61 (step @p74 false :rule chain_m_resolution :premises (@p73 @p57 @p41) :args (false (@list false false) (@list @t55 @t39))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------