%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM458+1 : 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 08:39:28 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM458+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n014.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 11:21:58 EDT 2026 % 0.16/0.33 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.sz10 $$unsorted) % 0.38/0.57 (declare-const tptp.sz00 $$unsorted) % 0.38/0.57 (declare-const tptp.xm $$unsorted) % 0.38/0.57 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "W0" $$unsorted)) % 0.38/0.57 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.38/0.57 (define @t3 () (@list @t1)) % 0.38/0.57 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 0.38/0.57 (define @t5 () (@var "W1" $$unsorted)) % 0.38/0.57 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.38/0.57 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.38/0.57 (define @t8 () (and @t2 @t7)) % 0.38/0.57 (define @t9 () (@list @t1 @t5)) % 0.38/0.57 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.38/0.57 (define @t11 () (tptp.sdtpldt0 @t5 @t1)) % 0.38/0.57 (define @t12 () (@var "W2" $$unsorted)) % 0.38/0.57 (define @t13 () (tptp.sdtpldt0 @t5 @t12)) % 0.38/0.57 (define @t14 () (tptp.aNaturalNumber0 @t12)) % 0.38/0.57 (define @t15 () (and @t2 @t7 @t14)) % 0.38/0.57 (define @t16 () (@list @t1 @t5 @t12)) % 0.38/0.57 (define @t17 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 0.38/0.57 (define @t18 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 0.38/0.57 (define @t19 () (and (= @t18 @t1) @t17)) % 0.38/0.57 (define @t20 () (=> @t2 @t19)) % 0.38/0.57 (define @t21 () (forall @t3 @t20)) % 0.38/0.57 (define @t22 () (tptp.sdtasdt0 @t5 @t1)) % 0.38/0.57 (define @t23 () (tptp.sdtasdt0 @t12 @t1)) % 0.38/0.57 (define @t24 () (tptp.sdtasdt0 @t1 @t12)) % 0.38/0.57 (define @t25 () (= @t5 @t12)) % 0.38/0.57 (define @t26 () (tptp.sdtpldt0 @t1 @t12)) % 0.38/0.57 (define @t27 () (= @t1 tptp.sz00)) % 0.38/0.57 (define @t28 () (= @t5 tptp.sz00)) % 0.38/0.57 (define @t29 () (and @t14 (= @t26 @t5))) % 0.38/0.57 (define @t30 () (@list @t12)) % 0.38/0.57 (define @t31 () (exists @t30 @t29)) % 0.38/0.57 (define @t32 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.38/0.57 (define @t33 () (= @t32 @t31)) % 0.38/0.57 (define @t34 () (=> @t8 @t33)) % 0.38/0.57 (define @t35 () (forall @t9 @t34)) % 0.38/0.57 (define @t36 () (tptp.aNaturalNumber0 tptp.xm)) % 0.38/0.57 (define @t37 () (tptp.sdtlseqdt0 tptp.xm tptp.xm)) % 0.38/0.57 (define @t38 () (= @t5 @t26)) % 0.38/0.57 (define @t39 () (not @t14)) % 0.38/0.57 (define @t40 () (= @t32 (not (forall @t30 (or @t39 (not @t38)))))) % 0.38/0.57 (define @t41 () (not @t7)) % 0.38/0.57 (define @t42 () (not @t2)) % 0.38/0.57 (define @t43 () (and @t14 @t38)) % 0.38/0.57 (define @t44 () (forall @t30 (not @t43))) % 0.38/0.57 (define @t45 () (not @t44)) % 0.38/0.57 (define @t46 () (forall @t30 (or @t39 (not (= tptp.xm (tptp.sdtpldt0 tptp.xm @t12)))))) % 0.38/0.57 (define @t47 () (not @t46)) % 0.38/0.57 (define @t48 () (= @t37 @t47)) % 0.38/0.57 (define @t49 () (not @t36)) % 0.38/0.57 (define @t50 () (or @t49 @t49 @t48)) % 0.38/0.57 (define @t51 () (@list false false)) % 0.38/0.57 (define @t52 () (not @t48)) % 0.38/0.57 (define @t53 () (@list true false)) % 0.38/0.57 (define @t54 () (and (= @t1 @t18) @t17)) % 0.38/0.57 (define @t55 () (= tptp.xm (tptp.sdtpldt0 tptp.xm tptp.sz00))) % 0.38/0.57 (define @t56 () (and @t55 (= tptp.xm (tptp.sdtpldt0 tptp.sz00 tptp.xm)))) % 0.38/0.57 (define @t57 () (or @t49 @t56)) % 0.38/0.57 (define @t58 () (not @t55)) % 0.38/0.57 (define @t59 () (not @t4)) % 0.38/0.57 (define @t60 () (or @t59 @t58)) % 0.38/0.57 (define @t61 () (not @t60)) % 0.38/0.57 (assume @p1 (forall @t3 (=> @t2 true))) % 0.38/0.57 (assume @p2 @t4) % 0.38/0.57 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.38/0.57 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 0.38/0.57 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t10)))) % 0.38/0.57 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t11)))) % 0.38/0.57 (assume @p7 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t6 @t12) (tptp.sdtpldt0 @t1 @t13))))) % 0.38/0.57 (assume @p8 @t21) % 0.38/0.57 (assume @p9 (forall @t9 (=> @t8 (= @t10 @t22)))) % 0.38/0.57 (assume @p10 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t10 @t12) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t12)))))) % 0.38/0.57 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.38/0.57 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.38/0.57 (assume @p13 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t10 @t24)) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t22 @t23)))))) % 0.38/0.57 (assume @p14 (forall @t16 (=> @t15 (=> (or (= @t6 @t26) (= @t11 (tptp.sdtpldt0 @t12 @t1))) @t25)))) % 0.38/0.57 (assume @p15 (forall @t3 (=> @t2 (=> (not @t27) (forall (@list @t5 @t12) (=> (and @t7 @t14) (=> (or (= @t10 @t24) (= @t22 @t23)) @t25))))))) % 0.38/0.57 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t27 @t28))))) % 0.38/0.57 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t27 @t28))))) % 0.38/0.57 (assume @p18 @t35) % 0.38/0.57 (assume @p19 (forall @t9 (=> @t8 (=> @t32 (forall @t30 (= (= @t12 (tptp.sdtmndt0 @t5 @t1)) @t29)))))) % 0.38/0.57 (assume @p20 @t36) % 0.38/0.57 (assume @p21 (not @t37)) % 0.38/0.57 (assume @p22 true) % 0.38/0.57 (step @p23 :rule aci_norm :args ((= (or (or @t42 @t41) @t40) (or @t42 @t41 @t40)))) % 0.38/0.57 (step @p24 :rule refl :args (@t40)) % 0.38/0.57 (step @p25 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.38/0.57 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t8) @t40))) % 0.38/0.57 (step @p27 :rule trans :premises (@p26 @p23)) % 0.38/0.57 (step @p28 :rule bool-impl-elim :args (@t8 @t40)) % 0.38/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.57 (step @p30 :rule cong :premises (@p29) :args ((forall @t9 (=> @t8 @t40)))) % 0.38/0.57 (step @p31 :rule bool-and-de-morgan :args (@t14 @t38 true)) % 0.38/0.57 (step @p32 :rule cong :premises (@p31) :args (@t44)) % 0.38/0.57 (step @p33 :rule cong :premises (@p32) :args (@t45)) % 0.38/0.57 (step @p34 :rule exists-elim :args ((= (exists @t30 @t43) @t45))) % 0.38/0.57 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.57 (step @p36 :rule eq-symm :args (@t26 @t5)) % 0.38/0.57 (step @p37 :rule refl :args (@t14)) % 0.38/0.57 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t29)) % 0.38/0.57 (step @p39 :rule cong :premises (@p38) :args (@t31)) % 0.38/0.57 (step @p40 :rule trans :premises (@p39 @p35)) % 0.38/0.57 (step @p41 :rule refl :args (@t32)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41 @p40) :args (@t33)) % 0.38/0.57 (step @p43 :rule refl :args (@t8)) % 0.38/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args (@t34)) % 0.38/0.57 (step @p45 :rule cong :premises (@p44) :args (@t35)) % 0.38/0.57 (step @p46 :rule trans :premises (@p45 @p30)) % 0.38/0.57 (step @p47 :rule eq_resolve :premises (@p18 @p46)) % 0.38/0.57 (step @p48 :rule instantiate :premises (@p47) :args ((@list tptp.xm tptp.xm))) % 0.38/0.57 (step @p49 :rule cnf_or_pos :args (@t50)) % 0.38/0.57 (step @p50 :rule factoring :premises (@p49)) % 0.38/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t49 @t48 (not @t50)))) % 0.38/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p20 @p48) :args (@t48 @t51 (@list @t36 @t50))) % 0.38/0.57 (step @p53 :rule bool-double-not-elim :args (@t46)) % 0.38/0.57 (step @p54 :rule refl :args (@t37)) % 0.38/0.57 (step @p55 :rule refl :args (@t52)) % 0.38/0.57 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args ((or @t52 @t37 (not @t47)))) % 0.38/0.57 (step @p57 :rule cnf_equiv_pos2 :args (@t48)) % 0.38/0.57 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.38/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t37 @t46 @t52))) % 0.38/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p21 @p52) :args (@t46 @t53 (@list @t37 @t48))) % 0.38/0.57 (step @p61 :rule bool-impl-elim :args (@t2 @t54)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61) :args ((forall @t3 (=> @t2 @t54)))) % 0.38/0.57 (step @p63 :rule refl :args (@t17)) % 0.38/0.57 (step @p64 :rule eq-symm :args (@t18 @t1)) % 0.38/0.57 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t19)) % 0.38/0.57 (step @p66 :rule refl :args (@t2)) % 0.38/0.57 (step @p67 :rule cong :premises (@p66 @p65) :args (@t20)) % 0.38/0.57 (step @p68 :rule cong :premises (@p67) :args (@t21)) % 0.38/0.57 (step @p69 :rule trans :premises (@p68 @p62)) % 0.38/0.57 (step @p70 :rule eq_resolve :premises (@p8 @p69)) % 0.38/0.57 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.xm))) % 0.38/0.57 (step @p72 :rule cnf_or_pos :args (@t57)) % 0.38/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t49 @t56 (not @t57)))) % 0.38/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p20 @p71) :args (@t56 @t51 (@list @t36 @t57))) % 0.38/0.57 (step @p75 :rule cnf_and_pos :args (@t56 0)) % 0.38/0.57 (step @p76 :rule reordering :premises (@p75) :args ((or @t55 (not @t56)))) % 0.38/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p74) :args (@t55 (@list false) (@list @t56))) % 0.38/0.57 (step @p78 :rule cnf_or_pos :args (@t60)) % 0.38/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t59 @t58 @t61))) % 0.38/0.57 (step @p80 :rule chain_m_resolution :premises (@p79 @p2 @p77) :args (@t61 @t51 (@list @t4 @t55))) % 0.38/0.57 (assume-push @p87 @t46) % 0.38/0.57 (step @p82 :rule instantiate :premises (@p60) :args ((@list tptp.sz00))) % 0.38/0.57 (step-pop @p88 :rule scope :premises (@p82)) % 0.38/0.57 (step @p83 :rule process_scope :premises (@p88) :args (@t60)) % 0.38/0.57 (step @p85 :rule implies_elim :premises (@p83)) % 0.38/0.57 (step @p86 false :rule chain_m_resolution :premises (@p85 @p80 @p60) :args (false @t53 (@list @t60 @t46))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------