%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM533+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:39:45 AM UTC 2026 % Result : Theorem 0.15s 0.38s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : NUM533+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n012.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 11:27:48 EDT 2026 % 0.08/0.26 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.38 % SZS status Theorem % 0.15/0.38 % SZS output start Proof % 0.15/0.38 ( % 0.15/0.38 (declare-sort $$unsorted 0) % 0.15/0.38 (declare-const tptp.xC $$unsorted) % 0.15/0.38 (declare-const tptp.xB $$unsorted) % 0.15/0.38 (declare-const tptp.slcrc0 $$unsorted) % 0.15/0.38 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.xA $$unsorted) % 0.15/0.38 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.15/0.38 (define @t1 () (@var "W0" $$unsorted)) % 0.15/0.38 (define @t2 () (tptp.aSet0 @t1)) % 0.15/0.38 (define @t3 () (@list @t1)) % 0.15/0.38 (define @t4 () (@var "W1" $$unsorted)) % 0.15/0.38 (define @t5 () (tptp.aElementOf0 @t4 @t1)) % 0.15/0.38 (define @t6 () (@list @t4)) % 0.15/0.38 (define @t7 () (tptp.isFinite0 @t1)) % 0.15/0.38 (define @t8 () (= @t1 tptp.slcrc0)) % 0.15/0.38 (define @t9 () (tptp.isCountable0 @t1)) % 0.15/0.38 (define @t10 () (and @t2 @t9)) % 0.15/0.38 (define @t11 () (@var "W2" $$unsorted)) % 0.15/0.38 (define @t12 () (tptp.aSet0 @t4)) % 0.15/0.38 (define @t13 () (tptp.aSubsetOf0 @t4 @t1)) % 0.15/0.38 (define @t14 () (tptp.aSubsetOf0 tptp.xA tptp.xC)) % 0.15/0.38 (define @t15 () (tptp.aElementOf0 @t1 tptp.xC)) % 0.15/0.38 (define @t16 () (tptp.aElementOf0 @t1 tptp.xA)) % 0.15/0.38 (define @t17 () (forall @t3 (=> @t16 @t15))) % 0.15/0.38 (define @t18 () (or @t17 @t14)) % 0.15/0.38 (define @t19 () (tptp.aSubsetOf0 tptp.xB tptp.xC)) % 0.15/0.38 (define @t20 () (tptp.aElementOf0 @t1 tptp.xB)) % 0.15/0.38 (define @t21 () (forall @t3 (=> @t20 @t15))) % 0.15/0.38 (define @t22 () (tptp.aSubsetOf0 tptp.xA tptp.xB)) % 0.15/0.38 (define @t23 () (forall @t3 (=> @t16 @t20))) % 0.15/0.38 (define @t24 () (and @t23 @t22 @t21 @t19)) % 0.15/0.38 (define @t25 () (=> @t24 @t18)) % 0.15/0.38 (define @t26 () (not @t25)) % 0.15/0.38 (define @t27 () (@quantifiers_skolemize (forall @t3 (or (not @t16) @t15)) 0)) % 0.15/0.38 (define @t28 () (tptp.aElementOf0 @t27 tptp.xC)) % 0.15/0.38 (define @t29 () (tptp.aElementOf0 @t27 tptp.xA)) % 0.15/0.38 (define @t30 () (not @t29)) % 0.15/0.38 (define @t31 () (or @t30 @t28)) % 0.15/0.38 (define @t32 () (@list true)) % 0.15/0.38 (define @t33 () (@list @t31)) % 0.15/0.38 (define @t34 () (@list @t27)) % 0.15/0.38 (define @t35 () (tptp.aElementOf0 @t27 tptp.xB)) % 0.15/0.38 (define @t36 () (or @t30 @t35)) % 0.15/0.38 (define @t37 () (not @t35)) % 0.15/0.38 (define @t38 () (or @t37 @t28)) % 0.15/0.38 (assume @p1 (forall @t3 (=> @t2 true))) % 0.15/0.38 (assume @p2 (forall @t3 (=> (tptp.aElement0 @t1) true))) % 0.15/0.38 (assume @p3 (forall @t3 (=> @t2 (forall @t6 (=> @t5 (tptp.aElement0 @t4)))))) % 0.15/0.38 (assume @p4 (forall @t3 (=> @t2 (=> @t7 true)))) % 0.15/0.38 (assume @p5 (forall @t3 (= @t8 (and @t2 (not (exists @t6 @t5)))))) % 0.15/0.38 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.15/0.38 (assume @p7 (forall @t3 (=> @t2 (=> @t9 true)))) % 0.15/0.38 (assume @p8 (forall @t3 (=> @t10 (not @t7)))) % 0.15/0.38 (assume @p9 (forall @t3 (=> @t10 (not @t8)))) % 0.15/0.38 (assume @p10 (forall @t3 (=> @t2 (forall @t6 (= @t13 (and @t12 (forall (@list @t11) (=> (tptp.aElementOf0 @t11 @t4) (tptp.aElementOf0 @t11 @t1))))))))) % 0.15/0.38 (assume @p11 (forall @t3 (=> (and @t2 @t7) (forall @t6 (=> @t13 (tptp.isFinite0 @t4)))))) % 0.15/0.38 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.15/0.38 (assume @p13 (forall (@list @t1 @t4) (=> (and @t2 @t12) (=> (and (tptp.aSubsetOf0 @t1 @t4) @t13) (= @t1 @t4))))) % 0.15/0.38 (assume @p14 (and (tptp.aSet0 tptp.xA) (tptp.aSet0 tptp.xB) (tptp.aSet0 tptp.xC))) % 0.15/0.38 (assume @p15 @t26) % 0.15/0.38 (assume @p16 true) % 0.15/0.38 (step @p17 :rule refl :args (@t14)) % 0.15/0.38 (step @p18 :rule bool-impl-elim :args (@t16 @t15)) % 0.15/0.38 (step @p19 :rule cong :premises (@p18) :args (@t17)) % 0.15/0.38 (step @p20 :rule nary_cong :premises (@p19 @p17) :args (@t18)) % 0.15/0.38 (step @p21 :rule refl :args (@t19)) % 0.15/0.38 (step @p22 :rule bool-impl-elim :args (@t20 @t15)) % 0.15/0.38 (step @p23 :rule cong :premises (@p22) :args (@t21)) % 0.15/0.38 (step @p24 :rule refl :args (@t22)) % 0.15/0.38 (step @p25 :rule bool-impl-elim :args (@t16 @t20)) % 0.15/0.38 (step @p26 :rule cong :premises (@p25) :args (@t23)) % 0.15/0.38 (step @p27 :rule nary_cong :premises (@p26 @p24 @p23 @p21) :args (@t24)) % 0.15/0.38 (step @p28 :rule cong :premises (@p27 @p20) :args (@t25)) % 0.15/0.38 (step @p29 :rule cong :premises (@p28) :args (@t26)) % 0.15/0.38 (step @p30 :rule eq_resolve :premises (@p15 @p29)) % 0.15/0.38 (step @p31 :rule not_implies_elim2 :premises (@p30)) % 0.15/0.38 (step @p32 :rule not_or_elim :premises (@p31) :args (0)) % 0.15/0.38 (step @p33 :rule skolemize :premises (@p32)) % 0.15/0.38 (step @p34 :rule cnf_or_neg :args (@t31 1)) % 0.15/0.38 (step @p35 :rule chain_m_resolution :premises (@p34 @p33) :args ((not @t28) @t32 @t33)) % 0.15/0.38 (step @p36 :rule not_implies_elim1 :premises (@p30)) % 0.15/0.38 (step @p37 :rule and_elim :premises (@p36) :args (2)) % 0.15/0.38 (step @p38 :rule instantiate :premises (@p37) :args (@t34)) % 0.15/0.38 (step @p39 :rule and_elim :premises (@p36) :args (0)) % 0.15/0.38 (step @p40 :rule instantiate :premises (@p39) :args (@t34)) % 0.15/0.38 (step @p41 :rule bool-double-not-elim :args (@t29)) % 0.15/0.38 (step @p42 :rule refl :args (@t31)) % 0.15/0.38 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t31 (not @t30)))) % 0.15/0.38 (step @p44 :rule cnf_or_neg :args (@t31 0)) % 0.15/0.38 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.15/0.38 (step @p46 :rule reordering :premises (@p45) :args ((or @t29 @t31))) % 0.15/0.38 (step @p47 :rule chain_m_resolution :premises (@p46 @p33) :args (@t29 @t32 @t33)) % 0.15/0.38 (step @p48 :rule cnf_or_pos :args (@t36)) % 0.15/0.38 (step @p49 :rule reordering :premises (@p48) :args ((or @t30 @t35 (not @t36)))) % 0.15/0.38 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p40) :args (@t35 (@list false false) (@list @t29 @t36))) % 0.15/0.38 (step @p51 :rule cnf_or_pos :args (@t38)) % 0.15/0.38 (step @p52 :rule reordering :premises (@p51) :args ((or @t28 @t37 (not @t38)))) % 0.15/0.38 (step @p53 false :rule chain_m_resolution :premises (@p52 @p50 @p38 @p35) :args (false (@list false false true) (@list @t35 @t38 @t28))) % 0.15/0.38 ) % 0.15/0.38 % SZS output end Proof % 0.15/0.38 % cvc5 exiting %------------------------------------------------------------------------------