%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM835+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:40:46 AM UTC 2026 % Result : Theorem 15.40s 15.68s % Output : Proof 15.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM835+2 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n022.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 12:28:23 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.40/15.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.68 --- Run --no-e-matching --full-saturate-quant at 6... % 15.40/15.68 % SZS status Theorem % 15.40/15.68 % SZS output start Proof % 15.40/15.68 ( % 15.40/15.68 (declare-sort $$unsorted 0) % 15.40/15.68 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 15.40/15.68 (declare-const tptp.vskolem3 $$unsorted) % 15.40/15.68 (declare-const tptp.m (-> $$unsorted Bool)) % 15.40/15.68 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 15.40/15.68 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 15.40/15.68 (declare-const tptp.vd151 $$unsorted) % 15.40/15.68 (declare-const tptp.v1 $$unsorted) % 15.40/15.68 (declare-const tptp.vd165 $$unsorted) % 15.40/15.68 (define @t1 () (= tptp.vd151 tptp.vd165)) % 15.40/15.68 (define @t2 () (@var "Vd170" $$unsorted)) % 15.40/15.68 (define @t3 () (= tptp.vd151 (tptp.vplus tptp.vd165 @t2))) % 15.40/15.68 (define @t4 () (@list @t2)) % 15.40/15.68 (define @t5 () (exists @t4 @t3)) % 15.40/15.68 (define @t6 () (@var "Vd180" $$unsorted)) % 15.40/15.68 (define @t7 () (tptp.vplus tptp.vd151 @t6)) % 15.40/15.68 (define @t8 () (= tptp.vd165 @t7)) % 15.40/15.68 (define @t9 () (@list @t6)) % 15.40/15.68 (define @t10 () (exists @t9 @t8)) % 15.40/15.68 (define @t11 () (or @t10 @t5 @t1)) % 15.40/15.68 (define @t12 () (not @t11)) % 15.40/15.68 (define @t13 () (tptp.vsucc tptp.vd165)) % 15.40/15.68 (define @t14 () (tptp.m @t13)) % 15.40/15.68 (define @t15 () (tptp.vsucc @t7)) % 15.40/15.68 (define @t16 () (= @t2 tptp.v1)) % 15.40/15.68 (define @t17 () (not @t16)) % 15.40/15.68 (define @t18 () (tptp.vplus tptp.vd165 tptp.v1)) % 15.40/15.68 (define @t19 () (tptp.vplus @t18 tptp.vskolem3)) % 15.40/15.68 (define @t20 () (tptp.vplus tptp.v1 tptp.vskolem3)) % 15.40/15.68 (define @t21 () (tptp.vplus tptp.vd165 @t20)) % 15.40/15.68 (define @t22 () (tptp.vsucc tptp.vskolem3)) % 15.40/15.68 (define @t23 () (@var "Vd157" $$unsorted)) % 15.40/15.68 (define @t24 () (@var "Vd151" $$unsorted)) % 15.40/15.68 (define @t25 () (@var "Vd152" $$unsorted)) % 15.40/15.68 (define @t26 () (= @t25 (tptp.vplus @t24 @t23))) % 15.40/15.68 (define @t27 () (@list @t23)) % 15.40/15.68 (define @t28 () (exists @t27 @t26)) % 15.40/15.68 (define @t29 () (@var "Vd155" $$unsorted)) % 15.40/15.68 (define @t30 () (= @t24 (tptp.vplus @t25 @t29))) % 15.40/15.68 (define @t31 () (@list @t29)) % 15.40/15.68 (define @t32 () (exists @t31 @t30)) % 15.40/15.68 (define @t33 () (= @t24 @t25)) % 15.40/15.68 (define @t34 () (or @t33 @t32 @t28)) % 15.40/15.68 (define @t35 () (tptp.m @t25)) % 15.40/15.68 (define @t36 () (= @t35 @t34)) % 15.40/15.68 (define @t37 () (@list @t24 @t25)) % 15.40/15.68 (define @t38 () (forall @t37 @t36)) % 15.40/15.68 (define @t39 () (@var "Vd79" $$unsorted)) % 15.40/15.68 (define @t40 () (@var "Vd78" $$unsorted)) % 15.40/15.68 (define @t41 () (@var "Vd69" $$unsorted)) % 15.40/15.68 (define @t42 () (@var "Vd68" $$unsorted)) % 15.40/15.68 (define @t43 () (@var "Vd59" $$unsorted)) % 15.40/15.68 (define @t44 () (@var "Vd48" $$unsorted)) % 15.40/15.68 (define @t45 () (@var "Vd47" $$unsorted)) % 15.40/15.68 (define @t46 () (@var "Vd46" $$unsorted)) % 15.40/15.68 (define @t47 () (@var "Vd42" $$unsorted)) % 15.40/15.68 (define @t48 () (@var "Vd43" $$unsorted)) % 15.40/15.68 (define @t49 () (@var "Vd24" $$unsorted)) % 15.40/15.68 (define @t50 () (@var "Vd16" $$unsorted)) % 15.40/15.68 (define @t51 () (not (forall @t27 (not @t26)))) % 15.40/15.68 (define @t52 () (not (forall @t31 (not @t30)))) % 15.40/15.68 (define @t53 () (forall @t27 (not (= tptp.vd151 (tptp.vplus tptp.vd165 @t23))))) % 15.40/15.68 (define @t54 () (not @t53)) % 15.40/15.68 (define @t55 () (tptp.vplus tptp.vd151 @t29)) % 15.40/15.68 (define @t56 () (forall @t31 (not (= tptp.vd165 @t55)))) % 15.40/15.68 (define @t57 () (not @t56)) % 15.40/15.68 (define @t58 () (or (= tptp.vd165 tptp.vd151) @t57 @t54)) % 15.40/15.68 (define @t59 () (tptp.m tptp.vd151)) % 15.40/15.68 (define @t60 () (= @t59 @t58)) % 15.40/15.68 (define @t61 () (forall @t37 (= @t35 (or @t33 @t52 @t51)))) % 15.40/15.68 (define @t62 () (or @t1 @t57 @t54)) % 15.40/15.68 (define @t63 () (= @t59 @t62)) % 15.40/15.68 (define @t64 () (@list false)) % 15.40/15.68 (define @t65 () (forall @t4 (not @t3))) % 15.40/15.68 (define @t66 () (forall @t9 (not @t8))) % 15.40/15.68 (define @t67 () (not @t62)) % 15.40/15.68 (define @t68 () (not @t59)) % 15.40/15.68 (define @t69 () (@list true false)) % 15.40/15.68 (define @t70 () (not (forall @t27 (not (= tptp.vd151 (tptp.vplus tptp.vd151 @t23)))))) % 15.40/15.68 (define @t71 () (not (forall @t31 (not (= tptp.vd151 @t55))))) % 15.40/15.68 (define @t72 () (or (= tptp.vd151 tptp.vd151) @t71 @t70)) % 15.40/15.68 (define @t73 () (= @t59 @t72)) % 15.40/15.68 (assume @p1 @t12) % 15.40/15.68 (assume @p2 (forall @t9 (=> @t8 @t14))) % 15.40/15.68 (assume @p3 (forall @t9 (=> @t8 (= @t15 (tptp.vplus tptp.vd151 (tptp.vsucc @t6)))))) % 15.40/15.68 (assume @p4 (forall @t9 (=> @t8 (= @t13 @t15)))) % 15.40/15.68 (assume @p5 (forall @t4 (=> @t3 (=> @t17 @t14)))) % 15.40/15.68 (assume @p6 (forall @t4 (=> @t3 (=> @t17 (= @t19 (tptp.vplus @t13 tptp.vskolem3)))))) % 15.40/15.68 (assume @p7 (forall @t4 (=> @t3 (=> @t17 (= @t21 @t19))))) % 15.40/15.68 (assume @p8 (forall @t4 (=> @t3 (=> @t17 (= tptp.vd151 @t21))))) % 15.40/15.68 (assume @p9 (forall @t4 (=> @t3 (=> @t17 (= @t22 @t20))))) % 15.40/15.68 (assume @p10 (forall @t4 (=> @t3 (=> @t17 (= @t2 @t22))))) % 15.40/15.68 (assume @p11 (forall @t4 (=> @t3 (=> @t16 @t14)))) % 15.40/15.68 (assume @p12 (forall @t4 (=> @t3 (=> @t16 (= @t18 @t13))))) % 15.40/15.68 (assume @p13 (forall @t4 (=> @t3 (=> @t16 (= tptp.vd151 @t18))))) % 15.40/15.68 (assume @p14 (=> @t1 @t14)) % 15.40/15.68 (assume @p15 (=> @t1 (= @t18 (tptp.vplus tptp.vd151 tptp.v1)))) % 15.40/15.68 (assume @p16 (=> @t1 (= @t13 @t18))) % 15.40/15.68 (assume @p17 @t38) % 15.40/15.68 (assume @p18 (forall (@list @t40 @t39) (= (tptp.vplus @t39 @t40) (tptp.vplus @t40 @t39)))) % 15.40/15.68 (assume @p19 (forall (@list @t42 @t41) (= (tptp.vplus (tptp.vsucc @t42) @t41) (tptp.vsucc (tptp.vplus @t42 @t41))))) % 15.40/15.68 (assume @p20 (forall (@list @t43) (= (tptp.vplus tptp.v1 @t43) (tptp.vsucc @t43)))) % 15.40/15.68 (assume @p21 (forall (@list @t46 @t45 @t44) (= (tptp.vplus (tptp.vplus @t46 @t45) @t44) (tptp.vplus @t46 (tptp.vplus @t45 @t44))))) % 15.40/15.68 (assume @p22 (forall (@list @t47 @t48) (and (= (tptp.vplus @t47 (tptp.vsucc @t48)) (tptp.vsucc (tptp.vplus @t47 @t48))) (= (tptp.vplus @t47 tptp.v1) (tptp.vsucc @t47))))) % 15.40/15.68 (assume @p23 (forall (@list @t49) (=> (not (= @t49 tptp.v1)) (= @t49 (tptp.vsucc (tptp.vskolem2 @t49)))))) % 15.40/15.68 (assume @p24 (forall (@list @t50) (not (= (tptp.vsucc @t50) @t50)))) % 15.40/15.68 (assume @p25 true) % 15.40/15.68 (step @p26 :rule exists-elim :args ((= @t28 @t51))) % 15.40/15.68 (step @p27 :rule exists-elim :args ((= @t32 @t52))) % 15.40/15.68 (step @p28 :rule refl :args (@t33)) % 15.40/15.68 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t34)) % 15.40/15.68 (step @p30 :rule refl :args (@t35)) % 15.40/15.68 (step @p31 :rule cong :premises (@p30 @p29) :args (@t36)) % 15.40/15.68 (step @p32 :rule cong :premises (@p31) :args (@t38)) % 15.40/15.68 (step @p33 :rule eq_resolve :premises (@p17 @p32)) % 15.40/15.68 (step @p34 :rule refl :args (@t54)) % 15.40/15.68 (step @p35 :rule refl :args (@t57)) % 15.40/15.68 (step @p36 :rule eq-symm :args (tptp.vd165 tptp.vd151)) % 15.40/15.68 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34) :args (@t58)) % 15.40/15.68 (step @p38 :rule refl :args (@t59)) % 15.40/15.68 (step @p39 :rule cong :premises (@p38 @p37) :args (@t60)) % 15.40/15.68 (step @p40 :rule refl :args (@t61)) % 15.40/15.68 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t61 @t60))) % 15.40/15.68 (assume-push @p89 @t61) % 15.40/15.68 (step @p43 :rule instantiate :premises (@p33) :args ((@list tptp.vd165 tptp.vd151))) % 15.40/15.68 (step-pop @p90 :rule scope :premises (@p43)) % 15.40/15.68 (step @p44 :rule process_scope :premises (@p90) :args (@t60)) % 15.40/15.68 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 15.40/15.68 (step @p47 :rule implies_elim :premises (@p46)) % 15.40/15.68 (step @p48 :rule chain_m_resolution :premises (@p47 @p33) :args (@t63 @t64 (@list @t61))) % 15.40/15.68 (step @p49 :rule refl :args (@t1)) % 15.40/15.68 (step @p50 :rule exists-elim :args ((= @t5 (not @t65)))) % 15.40/15.68 (step @p51 :rule exists-elim :args ((= @t10 (not @t66)))) % 15.40/15.68 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args (@t11)) % 15.40/15.68 (step @p53 :rule cong :premises (@p52) :args (@t12)) % 15.40/15.68 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 15.40/15.68 (step @p55 :rule not_or_elim :premises (@p54) :args (1)) % 15.40/15.68 (step @p56 :rule not_not_elim :premises (@p55)) % 15.40/15.68 (step @p57 :rule alpha_equiv :args (@t65 (@list @t2) (@list @t23))) % 15.40/15.68 (step @p58 :rule equiv_elim1 :premises (@p57)) % 15.40/15.68 (step @p59 :rule chain_m_resolution :premises (@p58 @p56) :args (@t53 @t64 (@list @t65))) % 15.40/15.68 (step @p60 :rule not_or_elim :premises (@p54) :args (0)) % 15.40/15.68 (step @p61 :rule not_not_elim :premises (@p60)) % 15.40/15.68 (step @p62 :rule alpha_equiv :args (@t66 (@list @t6) (@list @t29))) % 15.40/15.68 (step @p63 :rule equiv_elim1 :premises (@p62)) % 15.40/15.68 (step @p64 :rule chain_m_resolution :premises (@p63 @p61) :args (@t56 @t64 (@list @t66))) % 15.40/15.68 (step @p65 :rule not_or_elim :premises (@p54) :args (2)) % 15.40/15.68 (step @p66 :rule cnf_or_pos :args (@t62)) % 15.40/15.68 (step @p67 :rule reordering :premises (@p66) :args ((or @t1 @t57 @t54 @t67))) % 15.40/15.68 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p64 @p59) :args (@t67 (@list true false false) (@list @t1 @t56 @t53))) % 15.40/15.68 (step @p69 :rule cnf_equiv_pos1 :args (@t63)) % 15.40/15.68 (step @p70 :rule reordering :premises (@p69) :args ((or @t62 @t68 (not @t63)))) % 15.40/15.68 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p48) :args (@t68 @t69 (@list @t62 @t63))) % 15.40/15.68 (step @p72 :rule bool-eq-true :args (@t59)) % 15.40/15.68 (step @p73 :rule absorb :args ((= (or true @t71 @t70) true))) % 15.40/15.68 (step @p74 :rule refl :args (@t70)) % 15.40/15.68 (step @p75 :rule refl :args (@t71)) % 15.40/15.68 (step @p76 :rule eq-refl :args (tptp.vd151)) % 15.40/15.68 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74) :args (@t72)) % 15.40/15.68 (step @p78 :rule trans :premises (@p77 @p73)) % 15.40/15.68 (step @p79 :rule cong :premises (@p38 @p78) :args (@t73)) % 15.40/15.68 (step @p80 :rule trans :premises (@p79 @p72)) % 15.40/15.68 (step @p81 :rule cong :premises (@p40 @p80) :args ((=> @t61 @t73))) % 15.40/15.68 (assume-push @p91 @t61) % 15.40/15.68 (step @p83 :rule instantiate :premises (@p33) :args ((@list tptp.vd151 tptp.vd151))) % 15.40/15.68 (step-pop @p92 :rule scope :premises (@p83)) % 15.40/15.68 (step @p84 :rule process_scope :premises (@p92) :args (@t73)) % 15.40/15.68 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 15.40/15.68 (step @p87 :rule implies_elim :premises (@p86)) % 15.40/15.68 (step @p88 false :rule chain_m_resolution :premises (@p87 @p71 @p33) :args (false @t69 (@list @t59 @t61))) % 15.40/15.68 ) % 15.40/15.68 % SZS output end Proof % 15.40/15.68 % cvc5 exiting %------------------------------------------------------------------------------