%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU444+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:51:49 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU444+1 : TPTP v9.2.1. Released v3.4.0. % 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 : n019.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 17:32:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.k6_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.k10_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.k4_relat_1 (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.k1_funct_5 (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.k2_funct_5 (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.37/0.57 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t2 () (tptp.k2_funct_5 @t1)) % 0.37/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t4 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t5 () (tptp.k6_relset_1 @t4 @t3 @t1)) % 0.37/0.57 (define @t6 () (tptp.k10_relset_1 @t4 @t3 @t1 @t4)) % 0.37/0.57 (define @t7 () (= (tptp.k1_funct_5 @t1) (tptp.k10_relset_1 @t3 @t4 @t5 @t3))) % 0.37/0.57 (define @t8 () (and @t7 (= (tptp.k10_relset_1 @t3 @t4 @t5 @t6) (tptp.k10_relset_1 @t3 @t4 @t5 @t2)))) % 0.37/0.57 (define @t9 () (tptp.m2_relset_1 @t1 @t4 @t3)) % 0.37/0.57 (define @t10 () (@list @t3 @t4 @t1)) % 0.37/0.57 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.37/0.57 (define @t12 () (not @t11)) % 0.37/0.57 (define @t13 () (tptp.v1_relat_1 @t3)) % 0.37/0.57 (define @t14 () (@list @t3)) % 0.37/0.57 (define @t15 () (tptp.r2_hidden @t3 @t4)) % 0.37/0.57 (define @t16 () (@list @t3 @t4)) % 0.37/0.57 (define @t17 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.37/0.57 (define @t18 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.37/0.57 (define @t19 () (tptp.m1_subset_1 @t3 @t4)) % 0.37/0.57 (define @t20 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1))) % 0.37/0.57 (define @t21 () (tptp.v1_xboole_0 @t3)) % 0.37/0.57 (define @t22 () (tptp.k4_relat_1 @t3)) % 0.37/0.57 (define @t23 () (tptp.v1_relat_1 @t22)) % 0.37/0.57 (define @t24 () (tptp.k2_zfmisc_1 @t3 @t4)) % 0.37/0.57 (define @t25 () (tptp.v1_xboole_0 @t4)) % 0.37/0.57 (define @t26 () (not @t25)) % 0.37/0.57 (define @t27 () (not @t21)) % 0.37/0.57 (define @t28 () (tptp.k1_zfmisc_1 @t3)) % 0.37/0.57 (define @t29 () (tptp.m1_subset_1 @t4 @t28)) % 0.37/0.57 (define @t30 () (@list @t4)) % 0.37/0.57 (define @t31 () (tptp.m1_relset_1 @t1 @t3 @t4)) % 0.37/0.57 (define @t32 () (@list @t1)) % 0.37/0.57 (define @t33 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t24))) % 0.37/0.57 (define @t34 () (tptp.k1_zfmisc_1 @t4)) % 0.37/0.57 (define @t35 () (tptp.k6_relset_1 @t3 @t4 @t1)) % 0.37/0.57 (define @t36 () (tptp.m2_relset_1 @t1 @t3 @t4)) % 0.37/0.57 (define @t37 () (@var "D" $$unsorted)) % 0.37/0.57 (define @t38 () (tptp.k10_relset_1 @t3 @t4 @t1 @t37)) % 0.37/0.57 (define @t39 () (@list @t3 @t4 @t1 @t37)) % 0.37/0.57 (define @t40 () (and @t7 (= @t2 @t6))) % 0.37/0.57 (define @t41 () (=> @t9 @t40)) % 0.37/0.57 (define @t42 () (forall @t10 @t41)) % 0.37/0.57 (define @t43 () (and @t7 (= @t6 @t2))) % 0.37/0.57 (define @t44 () (forall @t10 (or (not @t9) @t8))) % 0.37/0.57 (define @t45 () (@quantifiers_skolemize @t44 2)) % 0.37/0.57 (define @t46 () (@quantifiers_skolemize @t44 1)) % 0.37/0.57 (define @t47 () (@quantifiers_skolemize @t44 0)) % 0.37/0.57 (define @t48 () (tptp.m2_relset_1 @t45 @t46 @t47)) % 0.37/0.57 (define @t49 () (tptp.k2_funct_5 @t45)) % 0.37/0.57 (define @t50 () (tptp.k6_relset_1 @t46 @t47 @t45)) % 0.37/0.57 (define @t51 () (tptp.k10_relset_1 @t46 @t47 @t45 @t46)) % 0.37/0.57 (define @t52 () (tptp.k10_relset_1 @t47 @t46 @t50 @t51)) % 0.37/0.57 (define @t53 () (= @t52 (tptp.k10_relset_1 @t47 @t46 @t50 @t49))) % 0.37/0.57 (define @t54 () (= (tptp.k1_funct_5 @t45) (tptp.k10_relset_1 @t47 @t46 @t50 @t47))) % 0.37/0.57 (define @t55 () (and @t54 @t53)) % 0.37/0.57 (define @t56 () (not @t48)) % 0.37/0.57 (define @t57 () (or @t56 @t55)) % 0.37/0.57 (define @t58 () (@list true)) % 0.37/0.57 (define @t59 () (@list @t57)) % 0.37/0.57 (define @t60 () (= @t51 @t49)) % 0.37/0.57 (define @t61 () (and @t54 @t60)) % 0.37/0.57 (define @t62 () (or @t56 @t61)) % 0.37/0.57 (define @t63 () (not @t61)) % 0.37/0.57 (define @t64 () (@list false)) % 0.37/0.57 (define @t65 () (@list @t61)) % 0.37/0.57 (define @t66 () (@list true false)) % 0.37/0.57 (assume @p1 @t12) % 0.37/0.57 (assume @p2 (exists @t14 (and @t13 (tptp.v3_relat_1 @t3)))) % 0.37/0.57 (assume @p3 (forall @t16 (=> @t15 (not (tptp.r2_hidden @t4 @t3))))) % 0.37/0.57 (assume @p4 true) % 0.37/0.57 (assume @p5 (and @t18 @t17 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.37/0.57 (assume @p6 (and @t18 @t17)) % 0.37/0.57 (assume @p7 (forall @t16 (=> @t15 @t19))) % 0.37/0.57 (assume @p8 (forall @t10 (=> (and @t15 @t20) (tptp.m1_subset_1 @t3 @t1)))) % 0.37/0.57 (assume @p9 (forall @t10 (not (and @t15 @t20 (tptp.v1_xboole_0 @t1))))) % 0.37/0.57 (assume @p10 (forall @t16 (tptp.r1_tarski @t3 @t3))) % 0.37/0.57 (assume @p11 (forall @t14 (=> @t21 @t13))) % 0.37/0.57 (assume @p12 (forall @t14 (=> @t21 (and (tptp.v1_xboole_0 @t22) @t23)))) % 0.37/0.57 (assume @p13 (forall @t16 (=> (and @t27 @t26) (not (tptp.v1_xboole_0 @t24))))) % 0.37/0.57 (assume @p14 (exists @t14 (and @t21 @t13))) % 0.37/0.57 (assume @p15 (forall @t14 (=> @t27 (exists @t30 (and @t29 @t26))))) % 0.37/0.57 (assume @p16 (exists @t14 (and @t27 @t13))) % 0.37/0.57 (assume @p17 (forall @t14 (exists @t30 (and @t29 @t25)))) % 0.37/0.57 (assume @p18 (forall @t16 (=> @t19 (or @t25 @t15)))) % 0.37/0.57 (assume @p19 (forall @t14 (=> @t21 (= @t3 tptp.k1_xboole_0)))) % 0.37/0.57 (assume @p20 (forall @t16 (not (and @t15 @t25)))) % 0.37/0.57 (assume @p21 (forall @t16 (not (and @t21 (not (= @t3 @t4)) @t25)))) % 0.37/0.57 (assume @p22 (forall @t14 (=> @t13 (= (tptp.k4_relat_1 @t22) @t3)))) % 0.37/0.57 (assume @p23 (forall @t16 (exists @t32 @t31))) % 0.37/0.57 (assume @p24 (forall @t14 (exists @t30 (tptp.m1_subset_1 @t4 @t3)))) % 0.37/0.57 (assume @p25 (forall @t14 (=> @t13 @t23))) % 0.37/0.57 (assume @p26 (forall @t10 (=> @t33 (tptp.v1_relat_1 @t1)))) % 0.37/0.57 (assume @p27 (forall @t14 (not (tptp.v1_xboole_0 @t28)))) % 0.37/0.57 (assume @p28 (forall @t16 (tptp.v1_relat_1 @t24))) % 0.37/0.57 (assume @p29 (forall @t16 (= (tptp.m1_subset_1 @t3 @t34) (tptp.r1_tarski @t3 @t4)))) % 0.37/0.57 (assume @p30 (forall @t10 (=> @t31 (= (tptp.k6_relset_1 @t3 @t4 @t35) @t1)))) % 0.37/0.57 (assume @p31 (forall @t16 (exists @t32 @t36))) % 0.37/0.57 (assume @p32 (forall @t39 (=> @t31 (= @t38 (tptp.k9_relat_1 @t1 @t37))))) % 0.37/0.57 (assume @p33 (forall @t10 (=> @t31 (= @t35 (tptp.k4_relat_1 @t1))))) % 0.37/0.57 (assume @p34 (forall @t10 (= @t36 @t31))) % 0.37/0.57 (assume @p35 (forall @t39 (=> @t31 (tptp.m1_subset_1 @t38 @t34)))) % 0.37/0.57 (assume @p36 (forall @t10 (=> @t31 (tptp.m2_relset_1 @t35 @t4 @t3)))) % 0.37/0.57 (assume @p37 (forall @t10 (=> @t36 @t33))) % 0.37/0.57 (assume @p38 @t42) % 0.37/0.57 (step @p39 :rule bool-impl-elim :args (@t9 @t43)) % 0.37/0.57 (step @p40 :rule cong :premises (@p39) :args ((forall @t10 (=> @t9 @t43)))) % 0.37/0.57 (step @p41 :rule eq-symm :args (@t2 @t6)) % 0.37/0.57 (step @p42 :rule refl :args (@t7)) % 0.37/0.57 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t40)) % 0.37/0.57 (step @p44 :rule refl :args (@t9)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args (@t41)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45) :args (@t42)) % 0.37/0.57 (step @p47 :rule trans :premises (@p46 @p40)) % 0.37/0.57 (step @p48 :rule eq_resolve :premises (@p38 @p47)) % 0.37/0.57 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t47 @t46 @t45))) % 0.37/0.57 (step @p50 :rule bool-impl-elim :args (@t9 @t8)) % 0.37/0.57 (step @p51 :rule cong :premises (@p50) :args (@t11)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51) :args (@t12)) % 0.37/0.57 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.37/0.57 (step @p54 :rule skolemize :premises (@p53)) % 0.37/0.57 (step @p55 :rule bool-double-not-elim :args (@t48)) % 0.37/0.57 (step @p56 :rule refl :args (@t57)) % 0.37/0.57 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t57 (not @t56)))) % 0.37/0.57 (step @p58 :rule cnf_or_neg :args (@t57 0)) % 0.37/0.57 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.37/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t48 @t57))) % 0.37/0.57 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t48 @t58 @t59)) % 0.37/0.57 (step @p62 :rule cnf_or_pos :args (@t62)) % 0.37/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t56 @t61 (not @t62)))) % 0.37/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p49) :args (@t61 (@list false false) (@list @t48 @t62))) % 0.37/0.57 (step @p65 :rule cnf_and_pos :args (@t61 1)) % 0.37/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t60 @t63))) % 0.37/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p64) :args (@t60 @t64 @t65)) % 0.37/0.57 (step @p68 :rule cnf_and_pos :args (@t61 0)) % 0.37/0.57 (step @p69 :rule reordering :premises (@p68) :args ((or @t54 @t63))) % 0.37/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p64) :args (@t54 @t64 @t65)) % 0.37/0.57 (step @p71 :rule cnf_or_neg :args (@t57 1)) % 0.37/0.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p54) :args ((not @t55) @t58 @t59)) % 0.37/0.58 (step @p73 :rule cnf_and_neg :args (@t55)) % 0.37/0.58 (step @p74 :rule chain_m_resolution :premises (@p73 @p72 @p70) :args ((not @t53) @t66 (@list @t55 @t54))) % 0.37/0.58 (assume-push @p85 @t60) % 0.37/0.58 (step @p76 :rule refl :args (@t50)) % 0.37/0.58 (step @p77 :rule refl :args (@t46)) % 0.37/0.58 (step @p78 :rule refl :args (@t47)) % 0.37/0.58 (step @p79 :rule cong :premises (@p78 @p77 @p76 @p67) :args (@t52)) % 0.37/0.58 (step-pop @p86 :rule scope :premises (@p79)) % 0.37/0.58 (step @p80 :rule process_scope :premises (@p86) :args (@t53)) % 0.37/0.58 (step @p82 :rule implies_elim :premises (@p80)) % 0.37/0.58 (step @p83 :rule reordering :premises (@p82) :args ((or @t53 (not @t60)))) % 0.37/0.58 (step @p84 false :rule chain_m_resolution :premises (@p83 @p74 @p67) :args (false @t66 (@list @t53 @t60))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------