%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM531+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 : n002.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 08:39:44 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM531+2 : 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 % 0.16/0.34 % Computer : n002.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 11:28:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.slcrc0 $$unsorted) % 0.31/0.55 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.31/0.55 (define @t1 () (@var "W0" $$unsorted)) % 0.31/0.55 (define @t2 () (tptp.aSet0 @t1)) % 0.31/0.55 (define @t3 () (@list @t1)) % 0.31/0.55 (define @t4 () (@var "W1" $$unsorted)) % 0.31/0.55 (define @t5 () (tptp.aElementOf0 @t4 @t1)) % 0.31/0.55 (define @t6 () (@list @t4)) % 0.31/0.55 (define @t7 () (tptp.isFinite0 @t1)) % 0.31/0.55 (define @t8 () (exists @t6 @t5)) % 0.31/0.55 (define @t9 () (not @t8)) % 0.31/0.55 (define @t10 () (= @t1 tptp.slcrc0)) % 0.31/0.55 (define @t11 () (tptp.isFinite0 tptp.slcrc0)) % 0.31/0.55 (define @t12 () (tptp.isCountable0 @t1)) % 0.31/0.55 (define @t13 () (not @t7)) % 0.31/0.55 (define @t14 () (and @t2 @t12)) % 0.31/0.55 (define @t15 () (forall @t3 (=> @t14 @t13))) % 0.31/0.55 (define @t16 () (and @t9 @t10)) % 0.31/0.55 (define @t17 () (not @t16)) % 0.31/0.55 (define @t18 () (=> @t14 @t17)) % 0.31/0.55 (define @t19 () (forall @t3 @t18)) % 0.31/0.55 (define @t20 () (not @t19)) % 0.31/0.55 (define @t21 () (not @t12)) % 0.31/0.55 (define @t22 () (not @t2)) % 0.31/0.55 (define @t23 () (or @t22 @t21 @t13)) % 0.31/0.55 (define @t24 () (or @t22 @t21)) % 0.31/0.55 (define @t25 () (not @t14)) % 0.31/0.55 (define @t26 () (not (forall @t6 (not (tptp.aElementOf0 @t4 tptp.slcrc0))))) % 0.31/0.55 (define @t27 () (tptp.isCountable0 tptp.slcrc0)) % 0.31/0.55 (define @t28 () (not @t27)) % 0.31/0.55 (define @t29 () (tptp.aSet0 tptp.slcrc0)) % 0.31/0.55 (define @t30 () (not @t29)) % 0.31/0.55 (define @t31 () (not (= tptp.slcrc0 tptp.slcrc0))) % 0.31/0.55 (define @t32 () (or @t30 @t28 @t26 @t31)) % 0.31/0.55 (define @t33 () (not @t10)) % 0.31/0.55 (define @t34 () (forall @t6 (not @t5))) % 0.31/0.55 (define @t35 () (not @t34)) % 0.31/0.55 (define @t36 () (or @t33 @t22 @t21 @t35 @t33)) % 0.31/0.55 (define @t37 () (or @t22 @t21 @t35 @t33)) % 0.31/0.55 (define @t38 () (not (and @t34 @t10))) % 0.31/0.55 (define @t39 () (not @t11)) % 0.31/0.55 (define @t40 () (or @t30 @t28 @t39)) % 0.31/0.55 (define @t41 () (not @t40)) % 0.31/0.55 (define @t42 () (forall @t3 @t23)) % 0.31/0.55 (assume @p1 (forall @t3 (=> @t2 true))) % 0.31/0.55 (assume @p2 (forall @t3 (=> (tptp.aElement0 @t1) true))) % 0.31/0.55 (assume @p3 (forall @t3 (=> @t2 (forall @t6 (=> @t5 (tptp.aElement0 @t4)))))) % 0.31/0.55 (assume @p4 (forall @t3 (=> @t2 (=> @t7 true)))) % 0.31/0.55 (assume @p5 (forall @t3 (= @t10 (and @t2 @t9)))) % 0.31/0.55 (assume @p6 @t11) % 0.31/0.55 (assume @p7 (forall @t3 (=> @t2 (=> @t12 true)))) % 0.31/0.55 (assume @p8 @t15) % 0.31/0.55 (assume @p9 @t20) % 0.31/0.55 (assume @p10 true) % 0.31/0.55 (step @p11 :rule aci_norm :args ((= (or @t24 @t13) @t23))) % 0.31/0.55 (step @p12 :rule refl :args (@t13)) % 0.31/0.55 (step @p13 :rule bool-and-de-morgan :args (@t2 @t12 true)) % 0.31/0.55 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t25 @t13))) % 0.31/0.55 (step @p15 :rule trans :premises (@p14 @p11)) % 0.31/0.55 (step @p16 :rule bool-impl-elim :args (@t14 @t13)) % 0.31/0.55 (step @p17 :rule trans :premises (@p16 @p15)) % 0.31/0.55 (step @p18 :rule cong :premises (@p17) :args (@t15)) % 0.31/0.55 (step @p19 :rule eq_resolve :premises (@p8 @p18)) % 0.31/0.55 (step @p20 :rule aci_norm :args ((= (or @t30 @t28 @t26 false) (or @t30 @t28 @t26)))) % 0.31/0.55 (step @p21 :rule evaluate :args ((not true))) % 0.31/0.55 (step @p22 :rule eq-refl :args (tptp.slcrc0)) % 0.31/0.55 (step @p23 :rule cong :premises (@p22) :args (@t31)) % 0.31/0.55 (step @p24 :rule trans :premises (@p23 @p21)) % 0.31/0.55 (step @p25 :rule refl :args (@t26)) % 0.31/0.55 (step @p26 :rule refl :args (@t28)) % 0.31/0.55 (step @p27 :rule refl :args (@t30)) % 0.31/0.55 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25 @p24) :args (@t32)) % 0.31/0.55 (step @p29 :rule trans :premises (@p28 @p20)) % 0.31/0.55 (step @p30 :rule quant-var-elim-eq :args ((= (forall @t3 @t36) @t32))) % 0.31/0.55 (step @p31 :rule aci_norm :args ((= @t37 @t36))) % 0.31/0.55 (step @p32 :rule cong :premises (@p31) :args ((forall @t3 @t37))) % 0.31/0.55 (step @p33 :rule trans :premises (@p32 @p30)) % 0.31/0.55 (step @p34 :rule trans :premises (@p33 @p29)) % 0.31/0.55 (step @p35 :rule aci_norm :args ((= (or @t24 (or @t35 @t33)) @t37))) % 0.31/0.55 (step @p36 :rule bool-and-de-morgan :args (@t34 @t10 true)) % 0.31/0.55 (step @p37 :rule nary_cong :premises (@p13 @p36) :args ((or @t25 @t38))) % 0.31/0.55 (step @p38 :rule trans :premises (@p37 @p35)) % 0.31/0.55 (step @p39 :rule bool-impl-elim :args (@t14 @t38)) % 0.31/0.55 (step @p40 :rule trans :premises (@p39 @p38)) % 0.31/0.55 (step @p41 :rule cong :premises (@p40) :args ((forall @t3 (=> @t14 @t38)))) % 0.31/0.55 (step @p42 :rule trans :premises (@p41 @p34)) % 0.31/0.55 (step @p43 :rule refl :args (@t10)) % 0.31/0.55 (step @p44 :rule bool-double-not-elim :args (@t34)) % 0.31/0.55 (step @p45 :rule exists-elim :args ((= @t8 @t35))) % 0.31/0.55 (step @p46 :rule cong :premises (@p45) :args (@t9)) % 0.31/0.55 (step @p47 :rule trans :premises (@p46 @p44)) % 0.31/0.55 (step @p48 :rule nary_cong :premises (@p47 @p43) :args (@t16)) % 0.31/0.55 (step @p49 :rule cong :premises (@p48) :args (@t17)) % 0.31/0.55 (step @p50 :rule refl :args (@t14)) % 0.31/0.55 (step @p51 :rule cong :premises (@p50 @p49) :args (@t18)) % 0.31/0.55 (step @p52 :rule cong :premises (@p51) :args (@t19)) % 0.31/0.55 (step @p53 :rule trans :premises (@p52 @p42)) % 0.31/0.55 (step @p54 :rule cong :premises (@p53) :args (@t20)) % 0.31/0.55 (step @p55 :rule eq_resolve :premises (@p9 @p54)) % 0.31/0.55 (step @p56 :rule not_or_elim :premises (@p55) :args (1)) % 0.31/0.55 (step @p57 :rule not_not_elim :premises (@p56)) % 0.31/0.55 (step @p58 :rule not_or_elim :premises (@p55) :args (0)) % 0.31/0.55 (step @p59 :rule not_not_elim :premises (@p58)) % 0.31/0.55 (step @p60 :rule cnf_or_pos :args (@t40)) % 0.31/0.55 (step @p61 :rule reordering :premises (@p60) :args ((or @t30 @t28 @t39 @t41))) % 0.31/0.55 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p57 @p6) :args (@t41 (@list false false false) (@list @t29 @t27 @t11))) % 0.31/0.55 (assume-push @p69 @t42) % 0.31/0.55 (step @p64 :rule instantiate :premises (@p19) :args ((@list tptp.slcrc0))) % 0.31/0.55 (step-pop @p70 :rule scope :premises (@p64)) % 0.31/0.55 (step @p65 :rule process_scope :premises (@p70) :args (@t40)) % 0.31/0.55 (step @p67 :rule implies_elim :premises (@p65)) % 0.31/0.55 (step @p68 false :rule chain_m_resolution :premises (@p67 @p62 @p19) :args (false (@list true false) (@list @t40 @t42))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------