%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU117+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:50:36 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU117+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 16:30:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.empty_set $$unsorted) % 0.38/0.62 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.finite_subsets (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.cap_closed (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.38/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.62 (define @t2 () (tptp.preboolean @t1)) % 0.38/0.62 (define @t3 () (tptp.diff_closed @t1)) % 0.38/0.62 (define @t4 () (tptp.cup_closed @t1)) % 0.38/0.62 (define @t5 () (and @t4 @t3)) % 0.38/0.62 (define @t6 () (@list @t1)) % 0.38/0.62 (define @t7 () (tptp.finite @t1)) % 0.38/0.62 (define @t8 () (tptp.empty @t1)) % 0.38/0.62 (define @t9 () (@var "B" $$unsorted)) % 0.38/0.62 (define @t10 () (tptp.in @t1 @t9)) % 0.38/0.62 (define @t11 () (tptp.empty @t9)) % 0.38/0.62 (define @t12 () (or @t11 @t10)) % 0.38/0.62 (define @t13 () (tptp.element @t1 @t9)) % 0.38/0.62 (define @t14 () (@list @t1 @t9)) % 0.38/0.62 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.38/0.62 (define @t16 () (@var "C" $$unsorted)) % 0.38/0.62 (define @t17 () (tptp.element @t9 (tptp.powerset @t16))) % 0.38/0.62 (define @t18 () (@list @t1 @t9 @t16)) % 0.38/0.62 (define @t19 () (@list @t9)) % 0.38/0.62 (define @t20 () (tptp.finite_subsets @t1)) % 0.38/0.62 (define @t21 () (tptp.preboolean @t20)) % 0.38/0.62 (define @t22 () (forall @t6 @t21)) % 0.38/0.62 (define @t23 () (tptp.powerset @t1)) % 0.38/0.62 (define @t24 () (not (tptp.empty @t23))) % 0.38/0.62 (define @t25 () (tptp.diff_closed @t20)) % 0.38/0.62 (define @t26 () (tptp.cup_closed @t20)) % 0.38/0.62 (define @t27 () (not (tptp.empty @t20))) % 0.38/0.62 (define @t28 () (forall @t6 (and @t27 @t26 @t25 @t21))) % 0.38/0.62 (define @t29 () (tptp.finite @t9)) % 0.38/0.62 (define @t30 () (tptp.element @t9 @t20)) % 0.38/0.62 (define @t31 () (not @t8)) % 0.38/0.62 (define @t32 () (tptp.element @t9 @t23)) % 0.38/0.62 (define @t33 () (not @t11)) % 0.38/0.62 (define @t34 () (forall @t14 (=> @t30 @t32))) % 0.38/0.62 (define @t35 () (not @t34)) % 0.38/0.62 (define @t36 () (tptp.finite @t16)) % 0.38/0.62 (define @t37 () (@list @t16)) % 0.38/0.62 (define @t38 () (= (= @t9 @t20) (forall @t37 (= (tptp.in @t16 @t9) (and (tptp.subset @t16 @t1) @t36))))) % 0.38/0.62 (define @t39 () (tptp.preboolean @t9)) % 0.38/0.62 (define @t40 () (forall @t14 (=> @t39 @t38))) % 0.38/0.62 (define @t41 () (not @t13)) % 0.38/0.62 (define @t42 () (forall @t14 (or (not @t30) @t32))) % 0.38/0.62 (define @t43 () (@quantifiers_skolemize @t42 0)) % 0.38/0.62 (define @t44 () (tptp.finite_subsets @t43)) % 0.38/0.62 (define @t45 () (@quantifiers_skolemize @t42 1)) % 0.38/0.62 (define @t46 () (@list @t1)) % 0.38/0.62 (define @t47 () (forall @t6 @t25)) % 0.38/0.62 (define @t48 () (forall @t6 @t26)) % 0.38/0.62 (define @t49 () (forall @t6 @t27)) % 0.38/0.62 (define @t50 () (and @t49 @t48 @t47 @t22)) % 0.38/0.62 (define @t51 () (@list @t43)) % 0.38/0.62 (define @t52 () (tptp.element @t45 @t44)) % 0.38/0.62 (define @t53 () (tptp.element @t45 (tptp.powerset @t43))) % 0.38/0.62 (define @t54 () (not @t52)) % 0.38/0.62 (define @t55 () (or @t54 @t53)) % 0.38/0.62 (define @t56 () (@list true)) % 0.38/0.62 (define @t57 () (@list @t55)) % 0.38/0.62 (define @t58 () (tptp.in @t45 @t44)) % 0.38/0.62 (define @t59 () (tptp.empty @t44)) % 0.38/0.62 (define @t60 () (or @t54 @t59 @t58)) % 0.38/0.62 (define @t61 () (@list false true false)) % 0.38/0.62 (define @t62 () (tptp.subset @t45 @t43)) % 0.38/0.62 (define @t63 () (= @t53 @t62)) % 0.38/0.62 (define @t64 () (not @t62)) % 0.38/0.62 (define @t65 () (and @t62 (tptp.finite @t45))) % 0.38/0.62 (define @t66 () (not @t65)) % 0.38/0.62 (define @t67 () (tptp.in @t16 @t44)) % 0.38/0.62 (define @t68 () (and (tptp.subset @t16 @t43) @t36)) % 0.38/0.62 (define @t69 () (forall @t37 (= @t68 @t67))) % 0.38/0.62 (define @t70 () (forall @t37 (= @t67 @t68))) % 0.38/0.62 (define @t71 () (= (= @t44 @t44) @t70)) % 0.38/0.62 (define @t72 () (tptp.preboolean @t44)) % 0.38/0.62 (define @t73 () (not @t72)) % 0.38/0.62 (define @t74 () (or @t73 @t71)) % 0.38/0.62 (define @t75 () (forall @t14 (or (not @t39) @t38))) % 0.38/0.62 (define @t76 () (or @t73 @t69)) % 0.38/0.62 (define @t77 () (@list false)) % 0.38/0.62 (define @t78 () (= @t65 @t58)) % 0.38/0.62 (define @t79 () (= @t58 @t65)) % 0.38/0.62 (assume @p1 (tptp.empty tptp.empty_set)) % 0.38/0.62 (assume @p2 (forall @t6 (=> @t5 @t2))) % 0.38/0.62 (assume @p3 (forall @t6 (=> @t8 @t7))) % 0.38/0.62 (assume @p4 @t15) % 0.38/0.62 (assume @p5 (forall @t18 (not (and @t10 @t17 (tptp.empty @t16))))) % 0.38/0.62 (assume @p6 (forall @t6 (=> @t8 (= @t1 tptp.empty_set)))) % 0.38/0.62 (assume @p7 (forall @t14 (not (and @t8 (not (= @t1 @t9)) @t11)))) % 0.38/0.62 (assume @p8 (forall @t14 (tptp.subset @t1 @t1))) % 0.38/0.62 (assume @p9 (forall @t14 (=> @t10 (not (tptp.in @t9 @t1))))) % 0.38/0.62 (assume @p10 (forall @t6 (exists @t19 (tptp.element @t9 @t1)))) % 0.38/0.62 (assume @p11 @t22) % 0.38/0.62 (assume @p12 (forall @t6 (and @t24 (tptp.cup_closed @t23) (tptp.diff_closed @t23) (tptp.preboolean @t23)))) % 0.38/0.62 (assume @p13 @t28) % 0.38/0.62 (assume @p14 (forall @t6 (=> @t2 @t5))) % 0.38/0.62 (assume @p15 (forall @t14 (=> @t30 @t29))) % 0.38/0.62 (assume @p16 (exists @t6 (and @t31 @t4 (tptp.cap_closed @t1) @t3 @t2))) % 0.38/0.62 (assume @p17 (forall @t6 (=> @t7 (forall @t19 (=> @t32 @t29))))) % 0.38/0.62 (assume @p18 (exists @t6 (and @t31 @t7))) % 0.38/0.62 (assume @p19 (forall @t6 (exists @t19 (and @t32 @t11 (tptp.relation @t9) (tptp.function @t9) (tptp.one_to_one @t9) (tptp.epsilon_transitive @t9) (tptp.epsilon_connected @t9) (tptp.ordinal @t9) (tptp.natural @t9) @t29)))) % 0.38/0.62 (assume @p20 (forall @t6 (=> @t31 (exists @t19 (and @t32 @t33 @t29))))) % 0.38/0.62 (assume @p21 (forall @t6 @t24)) % 0.38/0.62 (assume @p22 (forall @t6 (=> @t31 (exists @t19 (and @t32 @t33))))) % 0.38/0.62 (assume @p23 (forall @t6 (exists @t19 (and @t32 @t11)))) % 0.38/0.62 (assume @p24 (exists @t6 @t8)) % 0.38/0.62 (assume @p25 (exists @t6 @t31)) % 0.38/0.62 (assume @p26 (forall @t14 (=> @t10 @t13))) % 0.38/0.62 (assume @p27 (forall @t14 (= (tptp.element @t1 (tptp.powerset @t9)) (tptp.subset @t1 @t9)))) % 0.38/0.62 (assume @p28 (forall @t18 (=> (and @t10 @t17) (tptp.element @t1 @t16)))) % 0.38/0.62 (assume @p29 (forall @t14 (not (and @t10 @t11)))) % 0.38/0.62 (assume @p30 @t35) % 0.38/0.62 (assume @p31 @t40) % 0.38/0.62 (assume @p32 true) % 0.38/0.62 (step @p33 :rule aci_norm :args ((= (or @t41 @t12) (or @t41 @t11 @t10)))) % 0.38/0.62 (step @p34 :rule bool-impl-elim :args (@t13 @t12)) % 0.38/0.62 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.62 (step @p36 :rule cong :premises (@p35) :args (@t15)) % 0.38/0.62 (step @p37 :rule eq_resolve :premises (@p4 @p36)) % 0.38/0.62 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t45 @t44))) % 0.38/0.62 (step @p39 :rule alpha_equiv :args (@t22 @t46 (@list (@var "BOUND_VARIABLE_7650" $$unsorted)))) % 0.38/0.62 (step @p40 :rule alpha_equiv :args (@t47 @t46 (@list (@var "BOUND_VARIABLE_7644" $$unsorted)))) % 0.38/0.62 (step @p41 :rule alpha_equiv :args (@t48 @t46 (@list (@var "BOUND_VARIABLE_7638" $$unsorted)))) % 0.38/0.62 (step @p42 :rule alpha_equiv :args (@t49 @t46 (@list (@var "BOUND_VARIABLE_7631" $$unsorted)))) % 0.38/0.62 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p39) :args (@t50)) % 0.38/0.62 (step @p44 :rule quant-miniscope-and :args ((= @t28 @t50))) % 0.38/0.62 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.62 (step @p46 :rule eq_resolve :premises (@p13 @p45)) % 0.38/0.62 (step @p47 :rule and_elim :premises (@p46) :args (0)) % 0.38/0.62 (step @p48 :rule instantiate :premises (@p47) :args (@t51)) % 0.38/0.62 (step @p49 :rule bool-impl-elim :args (@t30 @t32)) % 0.38/0.62 (step @p50 :rule cong :premises (@p49) :args (@t34)) % 0.38/0.62 (step @p51 :rule cong :premises (@p50) :args (@t35)) % 0.38/0.62 (step @p52 :rule eq_resolve :premises (@p30 @p51)) % 0.38/0.62 (step @p53 :rule skolemize :premises (@p52)) % 0.38/0.62 (step @p54 :rule bool-double-not-elim :args (@t52)) % 0.38/0.62 (step @p55 :rule refl :args (@t55)) % 0.38/0.62 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t55 (not @t54)))) % 0.38/0.62 (step @p57 :rule cnf_or_neg :args (@t55 0)) % 0.38/0.62 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.38/0.62 (step @p59 :rule reordering :premises (@p58) :args ((or @t52 @t55))) % 0.38/0.62 (step @p60 :rule chain_m_resolution :premises (@p59 @p53) :args (@t52 @t56 @t57)) % 0.38/0.62 (step @p61 :rule cnf_or_pos :args (@t60)) % 0.38/0.62 (step @p62 :rule reordering :premises (@p61) :args ((or @t54 @t59 @t58 (not @t60)))) % 0.38/0.62 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p48 @p38) :args (@t58 @t61 (@list @t52 @t59 @t60))) % 0.38/0.62 (step @p64 :rule instantiate :premises (@p27) :args ((@list @t45 @t43))) % 0.38/0.62 (step @p65 :rule cnf_or_neg :args (@t55 1)) % 0.38/0.62 (step @p66 :rule chain_m_resolution :premises (@p65 @p53) :args ((not @t53) @t56 @t57)) % 0.38/0.62 (step @p67 :rule cnf_equiv_pos2 :args (@t63)) % 0.38/0.62 (step @p68 :rule reordering :premises (@p67) :args ((or @t53 @t64 (not @t63)))) % 0.38/0.62 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p64) :args (@t64 (@list true false) (@list @t53 @t63))) % 0.38/0.62 (step @p70 :rule cnf_and_pos :args (@t65 0)) % 0.38/0.62 (step @p71 :rule reordering :premises (@p70) :args ((or @t62 @t66))) % 0.38/0.62 (step @p72 :rule chain_m_resolution :premises (@p71 @p69) :args (@t66 @t56 (@list @t62))) % 0.38/0.62 (step @p73 :rule bool-impl-elim :args (@t39 @t38)) % 0.38/0.62 (step @p74 :rule cong :premises (@p73) :args (@t40)) % 0.38/0.62 (step @p75 :rule eq_resolve :premises (@p31 @p74)) % 0.38/0.62 (step @p76 :rule bool-eq-true :args (@t69)) % 0.38/0.62 (step @p77 :rule eq-symm :args (true @t69)) % 0.38/0.62 (step @p78 :rule trans :premises (@p77 @p76)) % 0.38/0.62 (step @p79 :rule eq-symm :args (@t67 @t68)) % 0.38/0.62 (step @p80 :rule cong :premises (@p79) :args (@t70)) % 0.38/0.62 (step @p81 :rule eq-refl :args (@t44)) % 0.38/0.62 (step @p82 :rule cong :premises (@p81 @p80) :args (@t71)) % 0.38/0.62 (step @p83 :rule trans :premises (@p82 @p78)) % 0.38/0.62 (step @p84 :rule refl :args (@t73)) % 0.38/0.62 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t74)) % 0.35/0.62 (step @p86 :rule refl :args (@t75)) % 0.35/0.62 (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t75 @t74))) % 0.35/0.62 (assume-push @p112 @t75) % 0.35/0.62 (step @p89 :rule instantiate :premises (@p75) :args ((@list @t43 @t44))) % 0.35/0.62 (step-pop @p113 :rule scope :premises (@p89)) % 0.35/0.62 (step @p90 :rule process_scope :premises (@p113) :args (@t74)) % 0.35/0.62 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 0.35/0.62 (step @p93 :rule implies_elim :premises (@p92)) % 0.35/0.62 (step @p94 :rule chain_m_resolution :premises (@p93 @p75) :args (@t76 @t77 (@list @t75))) % 0.35/0.62 (step @p95 :rule instantiate :premises (@p11) :args (@t51)) % 0.35/0.62 (step @p96 :rule cnf_or_pos :args (@t76)) % 0.35/0.62 (step @p97 :rule reordering :premises (@p96) :args ((or @t73 @t69 (not @t76)))) % 0.35/0.62 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p94) :args (@t69 (@list false false) (@list @t72 @t76))) % 0.35/0.62 (step @p99 :rule eq-symm :args (@t65 @t58)) % 0.35/0.62 (step @p100 :rule refl :args (@t69)) % 0.35/0.62 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t69 @t78))) % 0.35/0.62 (assume-push @p114 @t69) % 0.35/0.62 (step @p103 :rule instantiate :premises (@p98) :args ((@list @t45))) % 0.35/0.62 (step-pop @p115 :rule scope :premises (@p103)) % 0.35/0.62 (step @p104 :rule process_scope :premises (@p115) :args (@t78)) % 0.35/0.62 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 0.35/0.62 (step @p107 :rule implies_elim :premises (@p106)) % 0.35/0.62 (step @p108 :rule chain_m_resolution :premises (@p107 @p98) :args (@t79 @t77 (@list @t69))) % 0.35/0.62 (step @p109 :rule cnf_equiv_pos1 :args (@t79)) % 0.35/0.62 (step @p110 :rule reordering :premises (@p109) :args ((or (not @t58) @t65 (not @t79)))) % 0.35/0.62 (step @p111 false :rule chain_m_resolution :premises (@p110 @p108 @p72 @p63) :args (false @t61 (@list @t79 @t65 @t58))) % 0.35/0.62 ) % 0.35/0.62 % SZS output end Proof % 0.35/0.62 % cvc5 exiting %------------------------------------------------------------------------------