%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM383+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:39:17 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM383+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 11:15:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.empty_set $$unsorted) % 0.37/0.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t3 () (not (tptp.in @t2 @t1))) % 0.37/0.58 (define @t4 () (tptp.in @t1 @t2)) % 0.37/0.58 (define @t5 () (@list @t1 @t2)) % 0.37/0.58 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.37/0.58 (define @t7 () (tptp.function @t1)) % 0.37/0.58 (define @t8 () (tptp.empty @t1)) % 0.37/0.58 (define @t9 () (@list @t1)) % 0.37/0.58 (define @t10 () (tptp.relation @t1)) % 0.37/0.58 (define @t11 () (and @t10 @t7 (tptp.one_to_one @t1))) % 0.37/0.58 (define @t12 () (and @t10 @t8 @t7)) % 0.37/0.58 (define @t13 () (tptp.relation tptp.empty_set)) % 0.37/0.58 (define @t14 () (tptp.empty tptp.empty_set)) % 0.37/0.58 (define @t15 () (not @t8)) % 0.37/0.58 (define @t16 () (tptp.relation_empty_yielding @t1)) % 0.37/0.58 (define @t17 () (tptp.element @t1 @t2)) % 0.37/0.58 (define @t18 () (tptp.empty @t2)) % 0.37/0.58 (define @t19 () (or @t18 @t4)) % 0.37/0.58 (define @t20 () (forall @t5 (=> @t17 @t19))) % 0.37/0.58 (define @t21 () (forall @t5 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.37/0.58 (define @t22 () (@var "C" $$unsorted)) % 0.37/0.58 (define @t23 () (tptp.element @t1 @t22)) % 0.37/0.58 (define @t24 () (tptp.element @t2 (tptp.powerset @t22))) % 0.37/0.58 (define @t25 () (and @t4 @t24)) % 0.37/0.58 (define @t26 () (@list @t1 @t2 @t22)) % 0.37/0.58 (define @t27 () (forall @t26 (=> @t25 @t23))) % 0.37/0.58 (define @t28 () (tptp.empty @t22)) % 0.37/0.58 (define @t29 () (forall @t26 (not (and @t4 @t24 @t28)))) % 0.37/0.58 (define @t30 () (tptp.subset @t2 @t1)) % 0.37/0.58 (define @t31 () (forall @t5 (not (and @t4 @t30)))) % 0.37/0.58 (define @t32 () (not @t31)) % 0.37/0.58 (define @t33 () (not @t17)) % 0.37/0.58 (define @t34 () (not @t4)) % 0.37/0.58 (define @t35 () (forall @t5 (or @t34 (not @t30)))) % 0.37/0.58 (define @t36 () (@quantifiers_skolemize @t35 0)) % 0.37/0.58 (define @t37 () (@list @t36 @t36)) % 0.37/0.58 (define @t38 () (not @t24)) % 0.37/0.58 (define @t39 () (@quantifiers_skolemize @t35 1)) % 0.37/0.58 (define @t40 () (@list @t36 @t39 @t36)) % 0.37/0.58 (define @t41 () (tptp.element @t39 (tptp.powerset @t36))) % 0.37/0.58 (define @t42 () (tptp.subset @t39 @t36)) % 0.37/0.58 (define @t43 () (= @t41 @t42)) % 0.37/0.58 (define @t44 () (= @t42 @t41)) % 0.37/0.58 (define @t45 () (not @t42)) % 0.37/0.58 (define @t46 () (tptp.in @t36 @t39)) % 0.37/0.58 (define @t47 () (not @t46)) % 0.37/0.58 (define @t48 () (or @t47 @t45)) % 0.37/0.58 (define @t49 () (@list true)) % 0.37/0.58 (define @t50 () (@list @t48)) % 0.37/0.58 (define @t51 () (@list false false)) % 0.37/0.58 (define @t52 () (tptp.element @t36 @t36)) % 0.37/0.58 (define @t53 () (not @t41)) % 0.37/0.58 (define @t54 () (or @t47 @t53 @t52)) % 0.37/0.58 (define @t55 () (@list false false false)) % 0.37/0.58 (define @t56 () (not @t28)) % 0.37/0.58 (define @t57 () (tptp.empty @t36)) % 0.37/0.58 (define @t58 () (not @t57)) % 0.37/0.58 (define @t59 () (or @t47 @t53 @t58)) % 0.37/0.58 (define @t60 () (tptp.in @t36 @t36)) % 0.37/0.58 (define @t61 () (not @t52)) % 0.37/0.58 (define @t62 () (or @t61 @t57 @t60)) % 0.37/0.58 (define @t63 () (not @t60)) % 0.37/0.58 (define @t64 () (or @t63 @t63)) % 0.37/0.58 (define @t65 () (forall @t5 (or @t34 @t3))) % 0.37/0.58 (assume @p1 @t6) % 0.37/0.58 (assume @p2 (forall @t9 (=> @t8 @t7))) % 0.37/0.58 (assume @p3 (forall @t9 (=> @t8 @t10))) % 0.37/0.58 (assume @p4 (forall @t9 (=> @t12 @t11))) % 0.37/0.58 (assume @p5 (forall @t9 (exists (@list @t2) (tptp.element @t2 @t1)))) % 0.37/0.58 (assume @p6 (and @t14 @t13 (tptp.relation_empty_yielding tptp.empty_set))) % 0.37/0.58 (assume @p7 @t14) % 0.37/0.58 (assume @p8 (and @t14 @t13)) % 0.37/0.58 (assume @p9 (exists @t9 (and @t10 @t7))) % 0.37/0.58 (assume @p10 (exists @t9 (and @t8 @t10))) % 0.37/0.58 (assume @p11 (exists @t9 @t8)) % 0.37/0.58 (assume @p12 (exists @t9 @t12)) % 0.37/0.58 (assume @p13 (exists @t9 (and @t15 @t10))) % 0.37/0.58 (assume @p14 (exists @t9 @t15)) % 0.37/0.58 (assume @p15 (exists @t9 @t11)) % 0.37/0.58 (assume @p16 (exists @t9 (and @t10 @t16))) % 0.37/0.58 (assume @p17 (exists @t9 (and @t10 @t16 @t7))) % 0.37/0.58 (assume @p18 (exists @t9 (and @t10 (tptp.relation_non_empty @t1) @t7))) % 0.37/0.58 (assume @p19 (forall @t5 (tptp.subset @t1 @t1))) % 0.37/0.58 (assume @p20 (forall @t5 (=> @t4 @t17))) % 0.37/0.58 (assume @p21 @t20) % 0.37/0.58 (assume @p22 @t21) % 0.37/0.58 (assume @p23 @t27) % 0.37/0.58 (assume @p24 @t29) % 0.37/0.58 (assume @p25 (forall @t9 (=> @t8 (= @t1 tptp.empty_set)))) % 0.37/0.58 (assume @p26 (forall @t5 (not (and @t4 @t18)))) % 0.37/0.58 (assume @p27 @t32) % 0.37/0.58 (assume @p28 (forall @t5 (not (and @t8 (not (= @t1 @t2)) @t18)))) % 0.37/0.58 (assume @p29 true) % 0.37/0.58 (step @p30 :rule bool-impl-elim :args (@t4 @t3)) % 0.37/0.58 (step @p31 :rule cong :premises (@p30) :args (@t6)) % 0.37/0.58 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 0.37/0.58 (step @p33 :rule aci_norm :args ((= (or @t33 @t19) (or @t33 @t18 @t4)))) % 0.37/0.58 (step @p34 :rule bool-impl-elim :args (@t17 @t19)) % 0.37/0.58 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.58 (step @p36 :rule cong :premises (@p35) :args (@t20)) % 0.37/0.58 (step @p37 :rule eq_resolve :premises (@p21 @p36)) % 0.37/0.58 (step @p38 :rule instantiate :premises (@p37) :args (@t37)) % 0.37/0.58 (step @p39 :rule aci_norm :args ((= (or (or @t34 @t38) @t23) (or @t34 @t38 @t23)))) % 0.37/0.58 (step @p40 :rule refl :args (@t23)) % 0.37/0.58 (step @p41 :rule bool-and-de-morgan :args (@t4 @t24 true)) % 0.37/0.58 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t25) @t23))) % 0.37/0.58 (step @p43 :rule trans :premises (@p42 @p39)) % 0.37/0.58 (step @p44 :rule bool-impl-elim :args (@t25 @t23)) % 0.37/0.58 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.58 (step @p46 :rule cong :premises (@p45) :args (@t27)) % 0.37/0.58 (step @p47 :rule eq_resolve :premises (@p23 @p46)) % 0.37/0.58 (step @p48 :rule instantiate :premises (@p47) :args (@t40)) % 0.37/0.58 (step @p49 :rule eq-symm :args (@t41 @t42)) % 0.37/0.58 (step @p50 :rule refl :args (@t21)) % 0.37/0.58 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t21 @t43))) % 0.37/0.58 (assume-push @p109 @t21) % 0.37/0.58 (step @p53 :rule instantiate :premises (@p22) :args ((@list @t39 @t36))) % 0.37/0.58 (step-pop @p110 :rule scope :premises (@p53)) % 0.37/0.58 (step @p54 :rule process_scope :premises (@p110) :args (@t43)) % 0.37/0.58 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.37/0.58 (step @p57 :rule implies_elim :premises (@p56)) % 0.37/0.58 (step @p58 :rule chain_m_resolution :premises (@p57 @p22) :args (@t44 (@list false) (@list @t21))) % 0.37/0.58 (step @p59 :rule bool-and-de-morgan :args (@t4 @t30 true)) % 0.37/0.58 (step @p60 :rule cong :premises (@p59) :args (@t31)) % 0.37/0.58 (step @p61 :rule cong :premises (@p60) :args (@t32)) % 0.37/0.58 (step @p62 :rule eq_resolve :premises (@p27 @p61)) % 0.37/0.58 (step @p63 :rule skolemize :premises (@p62)) % 0.37/0.58 (step @p64 :rule bool-double-not-elim :args (@t42)) % 0.37/0.58 (step @p65 :rule refl :args (@t48)) % 0.37/0.58 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t48 (not @t45)))) % 0.37/0.58 (step @p67 :rule cnf_or_neg :args (@t48 1)) % 0.37/0.58 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.37/0.58 (step @p69 :rule reordering :premises (@p68) :args ((or @t42 @t48))) % 0.37/0.58 (step @p70 :rule chain_m_resolution :premises (@p69 @p63) :args (@t42 @t49 @t50)) % 0.37/0.58 (step @p71 :rule cnf_equiv_pos1 :args (@t44)) % 0.37/0.58 (step @p72 :rule reordering :premises (@p71) :args ((or @t45 @t41 (not @t44)))) % 0.37/0.58 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p58) :args (@t41 @t51 (@list @t42 @t44))) % 0.37/0.58 (step @p74 :rule bool-double-not-elim :args (@t46)) % 0.37/0.58 (step @p75 :rule nary_cong :premises (@p65 @p74) :args ((or @t48 (not @t47)))) % 0.37/0.58 (step @p76 :rule cnf_or_neg :args (@t48 0)) % 0.37/0.58 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.37/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t46 @t48))) % 0.37/0.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p63) :args (@t46 @t49 @t50)) % 0.37/0.58 (step @p80 :rule cnf_or_pos :args (@t54)) % 0.37/0.58 (step @p81 :rule reordering :premises (@p80) :args ((or @t47 @t53 @t52 (not @t54)))) % 0.37/0.58 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p73 @p48) :args (@t52 @t55 (@list @t46 @t41 @t54))) % 0.37/0.58 (step @p83 :rule aci_norm :args ((= (or @t34 (or @t38 @t56)) (or @t34 @t38 @t56)))) % 0.37/0.58 (step @p84 :rule bool-and-de-morgan :args (@t24 @t28 true)) % 0.37/0.58 (step @p85 :rule refl :args (@t34)) % 0.37/0.58 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t34 (not (and @t24 @t28))))) % 0.37/0.58 (step @p87 :rule bool-and-de-morgan :args (@t4 @t24 (and @t28))) % 0.37/0.58 (step @p88 :rule trans :premises (@p87 @p86)) % 0.37/0.58 (step @p89 :rule trans :premises (@p88 @p83)) % 0.37/0.58 (step @p90 :rule cong :premises (@p89) :args (@t29)) % 0.37/0.58 (step @p91 :rule eq_resolve :premises (@p24 @p90)) % 0.37/0.58 (step @p92 :rule instantiate :premises (@p91) :args (@t40)) % 0.37/0.58 (step @p93 :rule cnf_or_pos :args (@t59)) % 0.37/0.58 (step @p94 :rule reordering :premises (@p93) :args ((or @t47 @t53 @t58 (not @t59)))) % 0.37/0.58 (step @p95 :rule chain_m_resolution :premises (@p94 @p79 @p73 @p92) :args (@t58 @t55 (@list @t46 @t41 @t59))) % 0.37/0.58 (step @p96 :rule cnf_or_pos :args (@t62)) % 0.37/0.58 (step @p97 :rule reordering :premises (@p96) :args ((or @t57 @t61 @t60 (not @t62)))) % 0.37/0.58 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p82 @p38) :args (@t60 (@list true false false) (@list @t57 @t52 @t62))) % 0.37/0.58 (step @p99 :rule aci_norm :args ((= @t64 @t63))) % 0.37/0.58 (step @p100 :rule refl :args (@t65)) % 0.37/0.58 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t65 @t64))) % 0.37/0.58 (assume-push @p111 @t65) % 0.37/0.58 (step @p103 :rule instantiate :premises (@p32) :args (@t37)) % 0.37/0.58 (step-pop @p112 :rule scope :premises (@p103)) % 0.37/0.58 (step @p104 :rule process_scope :premises (@p112) :args (@t64)) % 0.37/0.58 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 0.37/0.58 (step @p107 :rule implies_elim :premises (@p106)) % 0.37/0.58 (step @p108 false :rule chain_m_resolution :premises (@p107 @p98 @p32) :args (false @t51 (@list @t60 @t65))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------