%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM405+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 : n013.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 08:39:19 AM UTC 2026 % Result : Theorem 27.66s 27.93s % Output : Proof 27.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM405+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:16:30 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 27.66/27.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.66/27.93 --- Run --no-e-matching --full-saturate-quant at 6... % 27.66/27.93 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.66/27.93 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.66/27.93 % SZS status Theorem % 27.66/27.93 % SZS output start Proof % 27.66/27.93 ( % 27.66/27.93 (declare-sort $$unsorted 0) % 27.66/27.93 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 27.66/27.93 (declare-const tptp.empty_set $$unsorted) % 27.66/27.93 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 27.66/27.93 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 27.66/27.93 (declare-const tptp.relation (-> $$unsorted Bool)) % 27.66/27.93 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 27.66/27.93 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 27.66/27.93 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 27.66/27.93 (declare-const tptp.empty (-> $$unsorted Bool)) % 27.66/27.93 (declare-const tptp.function (-> $$unsorted Bool)) % 27.66/27.93 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 27.66/27.93 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 27.66/27.93 (define @t1 () (@var "A" $$unsorted)) % 27.66/27.93 (define @t2 () (@var "B" $$unsorted)) % 27.66/27.93 (define @t3 () (tptp.in @t2 @t1)) % 27.66/27.93 (define @t4 () (tptp.in @t1 @t2)) % 27.66/27.93 (define @t5 () (@list @t1 @t2)) % 27.66/27.93 (define @t6 () (tptp.function @t1)) % 27.66/27.93 (define @t7 () (tptp.empty @t1)) % 27.66/27.93 (define @t8 () (@list @t1)) % 27.66/27.93 (define @t9 () (tptp.epsilon_connected @t1)) % 27.66/27.93 (define @t10 () (tptp.epsilon_transitive @t1)) % 27.66/27.93 (define @t11 () (and @t10 @t9)) % 27.66/27.93 (define @t12 () (tptp.ordinal @t1)) % 27.66/27.93 (define @t13 () (tptp.relation @t1)) % 27.66/27.93 (define @t14 () (tptp.one_to_one @t1)) % 27.66/27.93 (define @t15 () (and @t13 @t6 @t14)) % 27.66/27.93 (define @t16 () (and @t13 @t7 @t6)) % 27.66/27.93 (define @t17 () (and @t10 @t9 @t12)) % 27.66/27.93 (define @t18 () (@list @t2)) % 27.66/27.93 (define @t19 () (tptp.relation_empty_yielding tptp.empty_set)) % 27.66/27.93 (define @t20 () (tptp.relation tptp.empty_set)) % 27.66/27.93 (define @t21 () (tptp.empty tptp.empty_set)) % 27.66/27.93 (define @t22 () (not @t7)) % 27.66/27.93 (define @t23 () (tptp.relation_empty_yielding @t1)) % 27.66/27.93 (define @t24 () (@var "C" $$unsorted)) % 27.66/27.93 (define @t25 () (tptp.ordinal @t24)) % 27.66/27.93 (define @t26 () (tptp.in @t24 @t2)) % 27.66/27.93 (define @t27 () (@list @t24)) % 27.66/27.93 (define @t28 () (forall @t27 (= @t26 (and (tptp.in @t24 @t1) @t25)))) % 27.66/27.93 (define @t29 () (exists @t18 @t28)) % 27.66/27.93 (define @t30 () (forall @t8 @t29)) % 27.66/27.93 (define @t31 () (tptp.element @t1 @t2)) % 27.66/27.93 (define @t32 () (tptp.empty @t2)) % 27.66/27.93 (define @t33 () (tptp.ordinal @t2)) % 27.66/27.93 (define @t34 () (forall @t8 (not (forall @t18 (= @t3 @t33))))) % 27.66/27.93 (define @t35 () (forall @t18 (=> @t33 @t3))) % 27.66/27.93 (define @t36 () (not @t35)) % 27.66/27.93 (define @t37 () (forall @t8 @t36)) % 27.66/27.93 (define @t38 () (not @t37)) % 27.66/27.93 (define @t39 () (not @t33)) % 27.66/27.93 (define @t40 () (forall @t8 (not (forall @t18 (or @t39 @t3))))) % 27.66/27.93 (define @t41 () (@quantifiers_skolemize @t40 0)) % 27.66/27.93 (define @t42 () (and (tptp.in @t24 @t41) @t25)) % 27.66/27.93 (define @t43 () (forall @t18 (not (forall @t27 (= @t26 @t42))))) % 27.66/27.93 (define @t44 () (@quantifiers_skolemize @t43 0)) % 27.66/27.93 (define @t45 () (tptp.in @t24 @t44)) % 27.66/27.93 (define @t46 () (forall @t27 (= @t42 @t45))) % 27.66/27.93 (define @t47 () (not @t43)) % 27.66/27.93 (define @t48 () (forall @t27 (= @t45 @t42))) % 27.66/27.93 (define @t49 () (not (not @t48))) % 27.66/27.93 (define @t50 () (@list true)) % 27.66/27.93 (define @t51 () (tptp.in @t2 @t44)) % 27.66/27.93 (define @t52 () (forall @t18 (= @t33 @t51))) % 27.66/27.93 (define @t53 () (@quantifiers_skolemize @t52 0)) % 27.66/27.93 (define @t54 () (tptp.ordinal @t53)) % 27.66/27.93 (define @t55 () (tptp.in @t53 @t41)) % 27.66/27.93 (define @t56 () (and @t55 @t54)) % 27.66/27.93 (define @t57 () (tptp.in @t53 @t44)) % 27.66/27.93 (define @t58 () (= @t56 @t57)) % 27.66/27.93 (define @t59 () (@list @t53)) % 27.66/27.93 (define @t60 () (= @t57 @t56)) % 27.66/27.93 (define @t61 () (@list false)) % 27.66/27.93 (define @t62 () (forall @t18 (= @t51 @t33))) % 27.66/27.93 (define @t63 () (not @t62)) % 27.66/27.93 (define @t64 () (= @t54 @t57)) % 27.66/27.93 (define @t65 () (forall @t18 (or @t39 (tptp.in @t2 @t41)))) % 27.66/27.93 (define @t66 () (not @t40)) % 27.66/27.93 (define @t67 () (not (not @t65))) % 27.66/27.93 (define @t68 () (not @t54)) % 27.66/27.93 (define @t69 () (or @t68 @t55)) % 27.66/27.93 (define @t70 () (not @t60)) % 27.66/27.93 (define @t71 () (not @t56)) % 27.66/27.93 (assume @p1 (forall @t5 (=> @t4 (not @t3)))) % 27.66/27.93 (assume @p2 (forall @t8 (=> @t7 @t6))) % 27.66/27.93 (assume @p3 (forall @t8 (=> @t12 @t11))) % 27.66/27.93 (assume @p4 (forall @t8 (=> @t7 @t13))) % 27.66/27.93 (assume @p5 (forall @t8 (=> @t16 @t15))) % 27.66/27.93 (assume @p6 (forall @t8 (=> @t11 @t12))) % 27.66/27.93 (assume @p7 (forall @t8 (=> @t7 @t17))) % 27.66/27.93 (assume @p8 (forall @t8 (exists @t18 (tptp.element @t2 @t1)))) % 27.66/27.93 (assume @p9 (and @t21 @t20 @t19)) % 27.66/27.93 (assume @p10 @t21) % 27.66/27.93 (assume @p11 (and @t20 @t19 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t21 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 27.66/27.93 (assume @p12 (and @t21 @t20)) % 27.66/27.93 (assume @p13 (exists @t8 (and @t13 @t6))) % 27.66/27.93 (assume @p14 (exists @t8 @t17)) % 27.66/27.93 (assume @p15 (exists @t8 (and @t7 @t13))) % 27.66/27.93 (assume @p16 (exists @t8 @t7)) % 27.66/27.93 (assume @p17 (exists @t8 @t16)) % 27.66/27.93 (assume @p18 (exists @t8 (and @t13 @t6 @t14 @t7 @t10 @t9 @t12))) % 27.66/27.93 (assume @p19 (exists @t8 (and @t22 @t13))) % 27.66/27.93 (assume @p20 (exists @t8 @t22)) % 27.66/27.93 (assume @p21 (exists @t8 @t15)) % 27.66/27.93 (assume @p22 (exists @t8 (and @t22 @t10 @t9 @t12))) % 27.66/27.93 (assume @p23 (exists @t8 (and @t13 @t23))) % 27.66/27.93 (assume @p24 (exists @t8 (and @t13 @t23 @t6))) % 27.66/27.93 (assume @p25 (exists @t8 (and @t13 (tptp.relation_non_empty @t1) @t6))) % 27.66/27.93 (assume @p26 @t30) % 27.66/27.93 (assume @p27 (forall @t5 (=> @t4 @t31))) % 27.66/27.93 (assume @p28 (forall @t5 (=> @t31 (or @t32 @t4)))) % 27.66/27.93 (assume @p29 @t34) % 27.66/27.93 (assume @p30 @t38) % 27.66/27.93 (assume @p31 (forall @t8 (=> @t7 (= @t1 tptp.empty_set)))) % 27.66/27.93 (assume @p32 (forall @t5 (not (and @t4 @t32)))) % 27.66/27.93 (assume @p33 (forall @t5 (not (and @t7 (not (= @t1 @t2)) @t32)))) % 27.66/27.93 (assume @p34 true) % 27.66/27.93 (step @p35 :rule exists-elim :args ((= @t29 (not (forall @t18 (not @t28)))))) % 27.66/27.93 (step @p36 :rule cong :premises (@p35) :args (@t30)) % 27.66/27.93 (step @p37 :rule eq_resolve :premises (@p26 @p36)) % 27.66/27.93 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t41))) % 27.66/27.93 (step @p39 :rule refl :args (@t46)) % 27.66/27.93 (step @p40 :rule bool-double-not-elim :args (@t43)) % 27.66/27.93 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t47) @t46))) % 27.66/27.93 (step @p42 :rule eq-symm :args (@t45 @t42)) % 27.66/27.93 (step @p43 :rule cong :premises (@p42) :args (@t48)) % 27.66/27.93 (step @p44 :rule bool-double-not-elim :args (@t48)) % 27.66/27.93 (step @p45 :rule trans :premises (@p44 @p43)) % 27.66/27.93 (step @p46 :rule refl :args (@t47)) % 27.66/27.93 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t47 @t49))) % 27.66/27.93 (assume-push @p116 @t47) % 27.66/27.93 (step @p49 :rule skolemize :premises (@p38)) % 27.66/27.93 (step-pop @p117 :rule scope :premises (@p49)) % 27.66/27.93 (step @p50 :rule process_scope :premises (@p117) :args (@t49)) % 27.66/27.93 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 27.66/27.93 (step @p53 :rule implies_elim :premises (@p52)) % 27.66/27.93 (step @p54 :rule eq_resolve :premises (@p53 @p41)) % 27.66/27.93 (step @p55 :rule chain_m_resolution :premises (@p54 @p38) :args (@t46 @t50 (@list @t43))) % 27.66/27.93 (step @p56 :rule eq-symm :args (@t56 @t57)) % 27.66/27.93 (step @p57 :rule cong :premises (@p39 @p56) :args ((=> @t46 @t58))) % 27.66/27.93 (assume-push @p118 @t46) % 27.66/27.93 (step @p59 :rule instantiate :premises (@p55) :args (@t59)) % 27.66/27.93 (step-pop @p119 :rule scope :premises (@p59)) % 27.66/27.93 (step @p60 :rule process_scope :premises (@p119) :args (@t58)) % 27.66/27.93 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 27.66/27.93 (step @p63 :rule implies_elim :premises (@p62)) % 27.66/27.93 (step @p64 :rule chain_m_resolution :premises (@p63 @p55) :args (@t60 @t61 (@list @t46))) % 27.66/27.93 (step @p65 :rule eq-symm :args (@t51 @t33)) % 27.66/27.93 (step @p66 :rule cong :premises (@p65) :args (@t62)) % 27.66/27.93 (step @p67 :rule cong :premises (@p66) :args (@t63)) % 27.66/27.93 (step @p68 :rule refl :args (@t34)) % 27.66/27.93 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t34 @t63))) % 27.66/27.93 (assume-push @p120 @t34) % 27.66/27.93 (step @p71 :rule instantiate :premises (@p29) :args ((@list @t44))) % 27.66/27.93 (step-pop @p121 :rule scope :premises (@p71)) % 27.66/27.93 (step @p72 :rule process_scope :premises (@p121) :args (@t63)) % 27.66/27.93 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 27.66/27.93 (step @p75 :rule implies_elim :premises (@p74)) % 27.66/27.93 (step @p76 :rule chain_m_resolution :premises (@p75 @p29) :args ((not @t52) @t61 (@list @t34))) % 27.66/27.93 (step @p77 :rule skolemize :premises (@p76)) % 27.66/27.93 (step @p78 :rule cnf_equiv_neg2 :args (@t64)) % 27.66/27.93 (step @p79 :rule bool-impl-elim :args (@t33 @t3)) % 27.66/27.93 (step @p80 :rule cong :premises (@p79) :args (@t35)) % 27.66/27.93 (step @p81 :rule cong :premises (@p80) :args (@t36)) % 27.66/27.93 (step @p82 :rule cong :premises (@p81) :args (@t37)) % 27.66/27.93 (step @p83 :rule cong :premises (@p82) :args (@t38)) % 27.66/27.93 (step @p84 :rule eq_resolve :premises (@p30 @p83)) % 27.66/27.93 (step @p85 :rule refl :args (@t65)) % 27.66/27.93 (step @p86 :rule bool-double-not-elim :args (@t40)) % 27.66/27.93 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or (not @t66) @t65))) % 27.66/27.93 (step @p88 :rule bool-double-not-elim :args (@t65)) % 27.66/27.93 (step @p89 :rule refl :args (@t66)) % 27.66/27.93 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t66 @t67))) % 27.66/27.93 (assume-push @p122 @t66) % 27.66/27.93 (step @p92 :rule skolemize :premises (@p84)) % 27.66/27.93 (step-pop @p123 :rule scope :premises (@p92)) % 27.66/27.93 (step @p93 :rule process_scope :premises (@p123) :args (@t67)) % 27.66/27.93 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 27.66/27.93 (step @p96 :rule implies_elim :premises (@p95)) % 27.66/27.93 (step @p97 :rule eq_resolve :premises (@p96 @p87)) % 27.66/27.93 (step @p98 :rule chain_m_resolution :premises (@p97 @p84) :args (@t65 @t50 (@list @t40))) % 27.66/27.93 (step @p99 :rule instantiate :premises (@p98) :args (@t59)) % 27.66/27.93 (step @p100 :rule cnf_or_pos :args (@t69)) % 27.66/27.93 (step @p101 :rule reordering :premises (@p100) :args ((or @t68 @t55 (not @t69)))) % 27.66/27.93 (step @p102 :rule cnf_equiv_pos2 :args (@t60)) % 27.66/27.93 (step @p103 :rule reordering :premises (@p102) :args ((or @t57 @t71 @t70))) % 27.66/27.93 (step @p104 :rule cnf_and_neg :args (@t56)) % 27.66/27.93 (step @p105 :rule reordering :premises (@p104) :args ((or @t68 (not @t55) @t56))) % 27.66/27.93 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p64 @p101 @p99 @p78 @p77) :args (@t68 (@list true false false false true true) (@list @t56 @t60 @t55 @t69 @t57 @t64))) % 27.66/27.93 (step @p107 :rule cnf_equiv_neg1 :args (@t64)) % 27.66/27.93 (step @p108 :rule reordering :premises (@p107) :args ((or @t54 @t57 @t64))) % 27.66/27.93 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p77) :args (@t57 (@list true true) (@list @t54 @t64))) % 27.66/27.93 (step @p110 :rule cnf_and_pos :args (@t56 1)) % 27.66/27.93 (step @p111 :rule reordering :premises (@p110) :args ((or @t54 @t71))) % 27.66/27.93 (step @p112 :rule chain_m_resolution :premises (@p111 @p106) :args (@t71 @t50 (@list @t54))) % 27.66/27.93 (step @p113 :rule cnf_equiv_pos1 :args (@t60)) % 27.66/27.93 (step @p114 :rule reordering :premises (@p113) :args ((or (not @t57) @t56 @t70))) % 27.66/27.93 (step @p115 false :rule chain_m_resolution :premises (@p114 @p112 @p109 @p64) :args (false (@list true false false) (@list @t56 @t57 @t60))) % 27.66/27.93 ) % 27.66/27.93 % SZS output end Proof % 27.66/27.93 % cvc5 exiting %------------------------------------------------------------------------------