%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM532+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 : n028.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 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM532+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 % 0.16/0.34 % Computer : n028.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 11:27:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.xA $$unsorted) % 0.37/0.56 (declare-const tptp.slcrc0 $$unsorted) % 0.37/0.56 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.56 (define @t2 () (tptp.aSet0 @t1)) % 0.37/0.56 (define @t3 () (@list @t1)) % 0.37/0.56 (define @t4 () (@var "W1" $$unsorted)) % 0.37/0.56 (define @t5 () (tptp.aElementOf0 @t4 @t1)) % 0.37/0.56 (define @t6 () (@list @t4)) % 0.37/0.56 (define @t7 () (tptp.isFinite0 @t1)) % 0.37/0.56 (define @t8 () (= @t1 tptp.slcrc0)) % 0.37/0.56 (define @t9 () (tptp.isCountable0 @t1)) % 0.37/0.56 (define @t10 () (and @t2 @t9)) % 0.37/0.56 (define @t11 () (@var "W2" $$unsorted)) % 0.37/0.56 (define @t12 () (tptp.aElementOf0 @t11 @t1)) % 0.37/0.56 (define @t13 () (tptp.aElementOf0 @t11 @t4)) % 0.37/0.56 (define @t14 () (@list @t11)) % 0.37/0.56 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.37/0.56 (define @t16 () (tptp.aSet0 @t4)) % 0.37/0.56 (define @t17 () (and @t16 @t15)) % 0.37/0.56 (define @t18 () (tptp.aSubsetOf0 @t4 @t1)) % 0.37/0.56 (define @t19 () (= @t18 @t17)) % 0.37/0.56 (define @t20 () (forall @t6 @t19)) % 0.37/0.56 (define @t21 () (=> @t2 @t20)) % 0.37/0.56 (define @t22 () (forall @t3 @t21)) % 0.37/0.56 (define @t23 () (tptp.aSet0 tptp.xA)) % 0.37/0.56 (define @t24 () (tptp.aSubsetOf0 tptp.xA tptp.xA)) % 0.37/0.56 (define @t25 () (= @t23 @t24)) % 0.37/0.56 (define @t26 () (not @t25)) % 0.37/0.56 (define @t27 () (not @t23)) % 0.37/0.56 (define @t28 () (@var "BOUND_VARIABLE_7537" $$unsorted)) % 0.37/0.56 (define @t29 () (= (tptp.aSubsetOf0 @t28 @t1) (and (tptp.aSet0 @t28) (forall @t14 (or (not (tptp.aElementOf0 @t11 @t28)) @t12))))) % 0.37/0.56 (define @t30 () (not @t2)) % 0.37/0.56 (define @t31 () (or @t30 @t29)) % 0.37/0.56 (define @t32 () (forall (@list @t1 @t28) @t31)) % 0.37/0.56 (define @t33 () (@list @t28)) % 0.37/0.56 (define @t34 () (forall @t33 @t31)) % 0.37/0.56 (define @t35 () (forall @t33 @t29)) % 0.37/0.56 (define @t36 () (or @t30 @t35)) % 0.37/0.56 (define @t37 () (forall @t6 (= @t18 (and @t16 (forall @t14 (or (not @t13) @t12)))))) % 0.37/0.56 (define @t38 () (tptp.aElementOf0 @t11 tptp.xA)) % 0.37/0.56 (define @t39 () (forall @t14 (or (not @t38) @t38))) % 0.37/0.56 (define @t40 () (and @t23 @t39)) % 0.37/0.56 (define @t41 () (= @t24 @t40)) % 0.37/0.56 (define @t42 () (or @t27 @t41)) % 0.37/0.56 (define @t43 () (or @t27 @t25)) % 0.37/0.56 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.56 (assume @p2 (forall @t3 (=> (tptp.aElement0 @t1) true))) % 0.37/0.56 (assume @p3 (forall @t3 (=> @t2 (forall @t6 (=> @t5 (tptp.aElement0 @t4)))))) % 0.37/0.56 (assume @p4 (forall @t3 (=> @t2 (=> @t7 true)))) % 0.37/0.56 (assume @p5 (forall @t3 (= @t8 (and @t2 (not (exists @t6 @t5)))))) % 0.37/0.56 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.37/0.56 (assume @p7 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.37/0.56 (assume @p8 (forall @t3 (=> @t10 (not @t7)))) % 0.37/0.56 (assume @p9 (forall @t3 (=> @t10 (not @t8)))) % 0.37/0.56 (assume @p10 @t22) % 0.37/0.56 (assume @p11 (forall @t3 (=> (and @t2 @t7) (forall @t6 (=> @t18 (tptp.isFinite0 @t4)))))) % 0.37/0.56 (assume @p12 @t23) % 0.37/0.56 (assume @p13 (not @t24)) % 0.37/0.56 (assume @p14 true) % 0.37/0.56 (step @p15 :rule cnf_equiv_pos1 :args (@t25)) % 0.37/0.56 (step @p16 :rule reordering :premises (@p15) :args ((or @t24 @t27 @t26))) % 0.37/0.56 (step @p17 :rule chain_m_resolution :premises (@p16 @p13 @p12) :args (@t26 (@list true false) (@list @t24 @t23))) % 0.37/0.56 (step @p18 :rule quant-merge-prenex :args ((= (forall @t3 @t34) @t32))) % 0.37/0.56 (step @p19 :rule alpha_equiv :args (@t35 (@list @t28) (@list @t4))) % 0.37/0.56 (step @p20 :rule refl :args (@t30)) % 0.37/0.56 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t36)) % 0.37/0.56 (step @p22 :rule quant-miniscope-or :args ((= @t34 @t36))) % 0.37/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.56 (step @p24 :rule symm :premises (@p23)) % 0.37/0.56 (step @p25 :rule cong :premises (@p24) :args ((forall @t3 (or @t30 @t37)))) % 0.37/0.56 (step @p26 :rule trans :premises (@p25 @p18)) % 0.37/0.56 (step @p27 :rule bool-impl-elim :args (@t2 @t37)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27) :args ((forall @t3 (=> @t2 @t37)))) % 0.37/0.56 (step @p29 :rule trans :premises (@p28 @p26)) % 0.37/0.56 (step @p30 :rule bool-impl-elim :args (@t13 @t12)) % 0.37/0.56 (step @p31 :rule cong :premises (@p30) :args (@t15)) % 0.37/0.56 (step @p32 :rule refl :args (@t16)) % 0.37/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t17)) % 0.37/0.56 (step @p34 :rule refl :args (@t18)) % 0.37/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args (@t19)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35) :args (@t20)) % 0.37/0.56 (step @p37 :rule refl :args (@t2)) % 0.37/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args (@t21)) % 0.37/0.56 (step @p39 :rule cong :premises (@p38) :args (@t22)) % 0.37/0.56 (step @p40 :rule trans :premises (@p39 @p29)) % 0.37/0.56 (step @p41 :rule eq_resolve :premises (@p10 @p40)) % 0.37/0.56 (step @p42 :rule eq-symm :args (@t24 @t23)) % 0.37/0.56 (step @p43 :rule aci_norm :args ((= (and @t23 true) @t23))) % 0.37/0.56 (step @p44 :rule quant-unused-vars :args ((= (forall @t14 true) true))) % 0.37/0.56 (step @p45 :rule bool-or-taut2 :args (false @t38 false false)) % 0.37/0.56 (step @p46 :rule cong :premises (@p45) :args (@t39)) % 0.37/0.56 (step @p47 :rule trans :premises (@p46 @p44)) % 0.37/0.56 (step @p48 :rule refl :args (@t23)) % 0.37/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t40)) % 0.37/0.56 (step @p50 :rule trans :premises (@p49 @p43)) % 0.37/0.56 (step @p51 :rule refl :args (@t24)) % 0.37/0.56 (step @p52 :rule cong :premises (@p51 @p50) :args (@t41)) % 0.37/0.56 (step @p53 :rule trans :premises (@p52 @p42)) % 0.37/0.56 (step @p54 :rule refl :args (@t27)) % 0.37/0.56 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t42)) % 0.37/0.56 (step @p56 :rule refl :args (@t32)) % 0.37/0.56 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t32 @t42))) % 0.37/0.56 (assume-push @p68 @t32) % 0.37/0.56 (step @p59 :rule instantiate :premises (@p41) :args ((@list tptp.xA tptp.xA))) % 0.37/0.56 (step-pop @p69 :rule scope :premises (@p59)) % 0.37/0.56 (step @p60 :rule process_scope :premises (@p69) :args (@t42)) % 0.37/0.56 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.37/0.56 (step @p63 :rule implies_elim :premises (@p62)) % 0.37/0.56 (step @p64 :rule chain_m_resolution :premises (@p63 @p41) :args (@t43 (@list false) (@list @t32))) % 0.37/0.56 (step @p65 :rule cnf_or_pos :args (@t43)) % 0.37/0.56 (step @p66 :rule reordering :premises (@p65) :args ((or @t27 @t25 (not @t43)))) % 0.37/0.56 (step @p67 false :rule chain_m_resolution :premises (@p66 @p64 @p17 @p12) :args (false (@list false true false) (@list @t43 @t25 @t23))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------