%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU128+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:50:38 AM UTC 2026 % Result : Theorem 33.61s 33.83s % Output : Proof 33.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU128+1 : TPTP v9.2.1. Released v3.3.0. % 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 : n014.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 16:31:13 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.47 %----Proving TF0_NAR, FOF, or CNF % 33.61/33.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.61/33.83 --- Run --no-e-matching --full-saturate-quant at 6... % 33.61/33.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.61/33.83 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.61/33.83 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.61/33.83 % SZS status Theorem % 33.61/33.83 % SZS output start Proof % 33.61/33.83 ( % 33.61/33.83 (declare-sort $$unsorted 0) % 33.61/33.83 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.61/33.83 (declare-const tptp.empty_set $$unsorted) % 33.61/33.83 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.61/33.83 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.83 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.61/33.83 (define @t1 () (@var "A" $$unsorted)) % 33.61/33.83 (define @t2 () (@var "B" $$unsorted)) % 33.61/33.83 (define @t3 () (tptp.in @t1 @t2)) % 33.61/33.83 (define @t4 () (@list @t1 @t2)) % 33.61/33.83 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 33.61/33.83 (define @t6 () (@var "C" $$unsorted)) % 33.61/33.83 (define @t7 () (tptp.in @t6 @t2)) % 33.61/33.83 (define @t8 () (tptp.in @t6 @t1)) % 33.61/33.83 (define @t9 () (@list @t6)) % 33.61/33.83 (define @t10 () (forall @t9 (=> @t8 @t7))) % 33.61/33.83 (define @t11 () (tptp.subset @t1 @t2)) % 33.61/33.83 (define @t12 () (= @t11 @t10)) % 33.61/33.83 (define @t13 () (forall @t4 @t12)) % 33.61/33.83 (define @t14 () (@var "D" $$unsorted)) % 33.61/33.83 (define @t15 () (@list @t14)) % 33.61/33.83 (define @t16 () (forall @t15 (= (tptp.in @t14 @t6) (and (tptp.in @t14 @t1) (tptp.in @t14 @t2))))) % 33.61/33.83 (define @t17 () (= (= @t6 @t5) @t16)) % 33.61/33.83 (define @t18 () (@list @t1 @t2 @t6)) % 33.61/33.83 (define @t19 () (forall @t18 @t17)) % 33.61/33.83 (define @t20 () (tptp.empty @t1)) % 33.61/33.83 (define @t21 () (@list @t1)) % 33.61/33.83 (define @t22 () (tptp.subset @t1 (tptp.set_intersection2 @t2 @t6))) % 33.61/33.83 (define @t23 () (tptp.subset @t1 @t6)) % 33.61/33.83 (define @t24 () (and @t11 @t23)) % 33.61/33.83 (define @t25 () (forall @t18 (=> @t24 @t22))) % 33.61/33.83 (define @t26 () (not @t25)) % 33.61/33.83 (define @t27 () (tptp.empty @t2)) % 33.61/33.83 (define @t28 () (= @t5 @t6)) % 33.61/33.83 (define @t29 () (not @t23)) % 33.61/33.83 (define @t30 () (not @t11)) % 33.61/33.83 (define @t31 () (or @t30 @t29 @t22)) % 33.61/33.83 (define @t32 () (forall @t18 @t31)) % 33.61/33.83 (define @t33 () (@quantifiers_skolemize @t32 2)) % 33.61/33.83 (define @t34 () (@quantifiers_skolemize @t32 1)) % 33.61/33.83 (define @t35 () (tptp.set_intersection2 @t34 @t33)) % 33.61/33.83 (define @t36 () (forall @t15 (= (tptp.in @t14 @t35) (and (tptp.in @t14 @t34) (tptp.in @t14 @t33))))) % 33.61/33.83 (define @t37 () (= @t36 (= @t35 @t35))) % 33.61/33.83 (define @t38 () (forall @t18 (= @t16 @t28))) % 33.61/33.83 (define @t39 () (@quantifiers_skolemize @t32 0)) % 33.61/33.83 (define @t40 () (not (tptp.in @t6 @t39))) % 33.61/33.83 (define @t41 () (forall @t9 (or @t40 (tptp.in @t6 @t35)))) % 33.61/33.83 (define @t42 () (@quantifiers_skolemize @t41 0)) % 33.61/33.83 (define @t43 () (@list @t42)) % 33.61/33.83 (define @t44 () (tptp.subset @t39 @t35)) % 33.61/33.83 (define @t45 () (tptp.subset @t39 @t33)) % 33.61/33.83 (define @t46 () (not @t45)) % 33.61/33.83 (define @t47 () (tptp.subset @t39 @t34)) % 33.61/33.83 (define @t48 () (not @t47)) % 33.61/33.83 (define @t49 () (or @t48 @t46 @t44)) % 33.61/33.83 (define @t50 () (@list true)) % 33.61/33.83 (define @t51 () (@list @t49)) % 33.61/33.83 (define @t52 () (= @t44 @t41)) % 33.61/33.83 (define @t53 () (not @t41)) % 33.61/33.83 (define @t54 () (@list true false)) % 33.61/33.83 (define @t55 () (tptp.in @t42 @t35)) % 33.61/33.83 (define @t56 () (tptp.in @t42 @t39)) % 33.61/33.83 (define @t57 () (not @t56)) % 33.61/33.83 (define @t58 () (or @t57 @t55)) % 33.61/33.83 (define @t59 () (@list @t58)) % 33.61/33.83 (define @t60 () (tptp.in @t42 @t33)) % 33.61/33.83 (define @t61 () (tptp.in @t42 @t34)) % 33.61/33.83 (define @t62 () (and @t61 @t60)) % 33.61/33.83 (define @t63 () (= @t55 @t62)) % 33.61/33.83 (define @t64 () (not @t62)) % 33.61/33.83 (define @t65 () (forall @t9 (or @t40 (tptp.in @t6 @t34)))) % 33.61/33.83 (define @t66 () (= @t47 @t65)) % 33.61/33.83 (define @t67 () (@list false false)) % 33.61/33.83 (define @t68 () (or @t57 @t61)) % 33.61/33.83 (define @t69 () (forall @t9 (or @t40 (tptp.in @t6 @t33)))) % 33.61/33.83 (define @t70 () (= @t45 @t69)) % 33.61/33.83 (define @t71 () (or @t57 @t60)) % 33.61/33.83 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 33.61/33.83 (assume @p2 (forall @t4 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 33.61/33.83 (assume @p3 @t13) % 33.61/33.83 (assume @p4 @t19) % 33.61/33.83 (assume @p5 true) % 33.61/33.83 (assume @p6 (tptp.empty tptp.empty_set)) % 33.61/33.83 (assume @p7 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.61/33.83 (assume @p8 (exists @t21 @t20)) % 33.61/33.83 (assume @p9 (exists @t21 (not @t20))) % 33.61/33.83 (assume @p10 (forall @t4 (tptp.subset @t1 @t1))) % 33.61/33.83 (assume @p11 @t26) % 33.61/33.83 (assume @p12 (forall @t21 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 33.61/33.83 (assume @p13 (forall @t21 (=> @t20 (= @t1 tptp.empty_set)))) % 33.61/33.83 (assume @p14 (forall @t4 (not (and @t3 @t27)))) % 33.61/33.83 (assume @p15 (forall @t4 (not (and @t20 (not (= @t1 @t2)) @t27)))) % 33.61/33.83 (step @p16 :rule eq-symm :args (@t28 @t16)) % 33.61/33.83 (step @p17 :rule refl :args (@t16)) % 33.61/33.83 (step @p18 :rule eq-symm :args (@t6 @t5)) % 33.61/33.83 (step @p19 :rule cong :premises (@p18 @p17) :args (@t17)) % 33.61/33.83 (step @p20 :rule trans :premises (@p19 @p16)) % 33.61/33.83 (step @p21 :rule cong :premises (@p20) :args (@t19)) % 33.61/33.83 (step @p22 :rule eq_resolve :premises (@p4 @p21)) % 33.61/33.83 (step @p23 :rule bool-eq-true :args (@t36)) % 33.61/33.83 (step @p24 :rule eq-refl :args (@t35)) % 33.61/33.83 (step @p25 :rule refl :args (@t36)) % 33.61/33.83 (step @p26 :rule cong :premises (@p25 @p24) :args (@t37)) % 33.61/33.83 (step @p27 :rule trans :premises (@p26 @p23)) % 33.61/33.83 (step @p28 :rule refl :args (@t38)) % 33.61/33.83 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t38 @t37))) % 33.61/33.83 (assume-push @p105 @t38) % 33.61/33.83 (step @p31 :rule instantiate :premises (@p22) :args ((@list @t34 @t33 @t35))) % 33.61/33.83 (step-pop @p106 :rule scope :premises (@p31)) % 33.61/33.83 (step @p32 :rule process_scope :premises (@p106) :args (@t37)) % 33.61/33.83 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 33.61/33.83 (step @p35 :rule implies_elim :premises (@p34)) % 33.61/33.83 (step @p36 :rule chain_m_resolution :premises (@p35 @p22) :args (@t36 (@list false) (@list @t38))) % 33.61/33.83 (step @p37 :rule instantiate :premises (@p36) :args (@t43)) % 33.61/33.83 (step @p38 :rule bool-impl-elim :args (@t8 @t7)) % 33.61/33.83 (step @p39 :rule cong :premises (@p38) :args (@t10)) % 33.61/33.83 (step @p40 :rule refl :args (@t11)) % 33.61/33.83 (step @p41 :rule cong :premises (@p40 @p39) :args (@t12)) % 33.61/33.83 (step @p42 :rule cong :premises (@p41) :args (@t13)) % 33.61/33.83 (step @p43 :rule eq_resolve :premises (@p3 @p42)) % 33.61/33.83 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t39 @t35))) % 33.61/33.83 (step @p45 :rule aci_norm :args ((= (or (or @t30 @t29) @t22) @t31))) % 33.61/33.83 (step @p46 :rule refl :args (@t22)) % 33.61/33.83 (step @p47 :rule bool-and-de-morgan :args (@t11 @t23 true)) % 33.61/33.83 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t24) @t22))) % 33.61/33.83 (step @p49 :rule trans :premises (@p48 @p45)) % 33.61/33.83 (step @p50 :rule bool-impl-elim :args (@t24 @t22)) % 33.61/33.83 (step @p51 :rule trans :premises (@p50 @p49)) % 33.61/33.83 (step @p52 :rule cong :premises (@p51) :args (@t25)) % 33.61/33.83 (step @p53 :rule cong :premises (@p52) :args (@t26)) % 33.61/33.83 (step @p54 :rule eq_resolve :premises (@p11 @p53)) % 33.61/33.83 (step @p55 :rule skolemize :premises (@p54)) % 33.61/33.83 (step @p56 :rule cnf_or_neg :args (@t49 2)) % 33.61/33.83 (step @p57 :rule chain_m_resolution :premises (@p56 @p55) :args ((not @t44) @t50 @t51)) % 33.61/33.83 (step @p58 :rule cnf_equiv_pos2 :args (@t52)) % 33.61/33.83 (step @p59 :rule reordering :premises (@p58) :args ((or @t44 @t53 (not @t52)))) % 33.61/33.83 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p44) :args (@t53 @t54 (@list @t44 @t52))) % 33.61/33.83 (step @p61 :rule skolemize :premises (@p60)) % 33.61/33.83 (step @p62 :rule cnf_or_neg :args (@t58 1)) % 33.61/33.83 (step @p63 :rule chain_m_resolution :premises (@p62 @p61) :args ((not @t55) @t50 @t59)) % 33.61/33.83 (step @p64 :rule cnf_equiv_pos2 :args (@t63)) % 33.61/33.83 (step @p65 :rule reordering :premises (@p64) :args ((or @t55 @t64 (not @t63)))) % 33.61/33.83 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p37) :args (@t64 @t54 (@list @t55 @t63))) % 33.61/33.83 (step @p67 :rule instantiate :premises (@p43) :args ((@list @t39 @t34))) % 33.61/33.83 (step @p68 :rule bool-double-not-elim :args (@t47)) % 33.61/33.83 (step @p69 :rule refl :args (@t49)) % 33.61/33.83 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t49 (not @t48)))) % 33.61/33.83 (step @p71 :rule cnf_or_neg :args (@t49 0)) % 33.61/33.83 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 33.61/33.83 (step @p73 :rule reordering :premises (@p72) :args ((or @t47 @t49))) % 33.61/33.83 (step @p74 :rule chain_m_resolution :premises (@p73 @p55) :args (@t47 @t50 @t51)) % 33.61/33.83 (step @p75 :rule cnf_equiv_pos1 :args (@t66)) % 33.61/33.83 (step @p76 :rule reordering :premises (@p75) :args ((or @t48 @t65 (not @t66)))) % 33.61/33.83 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p67) :args (@t65 @t67 (@list @t47 @t66))) % 33.61/33.83 (step @p78 :rule instantiate :premises (@p77) :args (@t43)) % 33.61/33.83 (step @p79 :rule bool-double-not-elim :args (@t56)) % 33.61/33.83 (step @p80 :rule refl :args (@t58)) % 33.61/33.83 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t58 (not @t57)))) % 33.61/33.83 (step @p82 :rule cnf_or_neg :args (@t58 0)) % 33.61/33.83 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 33.61/33.83 (step @p84 :rule reordering :premises (@p83) :args ((or @t56 @t58))) % 33.61/33.83 (step @p85 :rule chain_m_resolution :premises (@p84 @p61) :args (@t56 @t50 @t59)) % 33.61/33.84 (step @p86 :rule cnf_or_pos :args (@t68)) % 33.61/33.84 (step @p87 :rule reordering :premises (@p86) :args ((or @t57 @t61 (not @t68)))) % 33.61/33.84 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p78) :args (@t61 @t67 (@list @t56 @t68))) % 33.61/33.84 (step @p89 :rule instantiate :premises (@p43) :args ((@list @t39 @t33))) % 33.61/33.84 (step @p90 :rule bool-double-not-elim :args (@t45)) % 33.61/33.84 (step @p91 :rule nary_cong :premises (@p69 @p90) :args ((or @t49 (not @t46)))) % 33.61/33.84 (step @p92 :rule cnf_or_neg :args (@t49 1)) % 33.61/33.84 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 33.61/33.84 (step @p94 :rule reordering :premises (@p93) :args ((or @t45 @t49))) % 33.61/33.84 (step @p95 :rule chain_m_resolution :premises (@p94 @p55) :args (@t45 @t50 @t51)) % 33.61/33.84 (step @p96 :rule cnf_equiv_pos1 :args (@t70)) % 33.61/33.84 (step @p97 :rule reordering :premises (@p96) :args ((or @t46 @t69 (not @t70)))) % 33.61/33.84 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p89) :args (@t69 @t67 (@list @t45 @t70))) % 33.61/33.84 (step @p99 :rule instantiate :premises (@p98) :args (@t43)) % 33.61/33.84 (step @p100 :rule cnf_or_pos :args (@t71)) % 33.61/33.84 (step @p101 :rule reordering :premises (@p100) :args ((or @t57 @t60 (not @t71)))) % 33.61/33.84 (step @p102 :rule chain_m_resolution :premises (@p101 @p85 @p99) :args (@t60 @t67 (@list @t56 @t71))) % 33.61/33.84 (step @p103 :rule cnf_and_neg :args (@t62)) % 33.61/33.84 (step @p104 false :rule chain_m_resolution :premises (@p103 @p102 @p88 @p66) :args (false (@list false false true) (@list @t60 @t61 @t62))) % 33.61/33.84 ) % 33.61/33.84 % SZS output end Proof % 33.61/33.84 % cvc5 exiting %------------------------------------------------------------------------------