%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU097+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 : n020.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 08:50:33 AM UTC 2026 % Result : Theorem 0.39s 0.65s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU097+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n020.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 16:29:56 EDT 2026 % 0.19/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.65 % SZS status Theorem % 0.39/0.65 % SZS output start Proof % 0.39/0.65 ( % 0.39/0.65 (declare-sort $$unsorted 0) % 0.39/0.65 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.transfinite_sequence (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.function_yielding (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.empty_set $$unsorted) % 0.39/0.65 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.function (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.positive_rationals $$unsorted) % 0.39/0.65 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.ordinal_yielding (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.39/0.65 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.65 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.65 (define @t3 () (tptp.in @t1 @t2)) % 0.39/0.65 (define @t4 () (@list @t1 @t2)) % 0.39/0.65 (define @t5 () (tptp.ordinal @t2)) % 0.39/0.65 (define @t6 () (tptp.epsilon_connected @t2)) % 0.39/0.65 (define @t7 () (tptp.epsilon_transitive @t2)) % 0.39/0.65 (define @t8 () (tptp.element @t2 @t1)) % 0.39/0.65 (define @t9 () (@list @t2)) % 0.39/0.65 (define @t10 () (tptp.ordinal @t1)) % 0.39/0.65 (define @t11 () (@list @t1)) % 0.39/0.65 (define @t12 () (tptp.finite @t1)) % 0.39/0.65 (define @t13 () (tptp.empty @t1)) % 0.39/0.65 (define @t14 () (tptp.function @t1)) % 0.39/0.65 (define @t15 () (tptp.epsilon_connected @t1)) % 0.39/0.65 (define @t16 () (tptp.epsilon_transitive @t1)) % 0.39/0.65 (define @t17 () (and @t16 @t15)) % 0.39/0.65 (define @t18 () (tptp.relation @t1)) % 0.39/0.65 (define @t19 () (tptp.natural @t1)) % 0.39/0.65 (define @t20 () (and @t16 @t15 @t10 @t19)) % 0.39/0.65 (define @t21 () (tptp.finite @t2)) % 0.39/0.65 (define @t22 () (tptp.powerset @t1)) % 0.39/0.65 (define @t23 () (tptp.element @t2 @t22)) % 0.39/0.65 (define @t24 () (tptp.one_to_one @t1)) % 0.39/0.65 (define @t25 () (and @t18 @t14 @t24)) % 0.39/0.65 (define @t26 () (and @t18 @t13 @t14)) % 0.39/0.65 (define @t27 () (and @t16 @t15 @t10)) % 0.39/0.65 (define @t28 () (tptp.element @t1 tptp.positive_rationals)) % 0.39/0.65 (define @t29 () (tptp.set_union2 @t2 @t1)) % 0.39/0.65 (define @t30 () (tptp.set_union2 @t1 @t2)) % 0.39/0.65 (define @t31 () (tptp.symmetric_difference @t1 @t2)) % 0.39/0.65 (define @t32 () (tptp.set_difference @t1 @t2)) % 0.39/0.65 (define @t33 () (tptp.finite @t32)) % 0.39/0.65 (define @t34 () (forall @t4 (=> @t12 @t33))) % 0.39/0.65 (define @t35 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.39/0.65 (define @t36 () (tptp.relation tptp.empty_set)) % 0.39/0.65 (define @t37 () (tptp.empty tptp.empty_set)) % 0.39/0.65 (define @t38 () (tptp.relation @t2)) % 0.39/0.65 (define @t39 () (and @t18 @t38)) % 0.39/0.65 (define @t40 () (not @t13)) % 0.39/0.65 (define @t41 () (tptp.finite @t30)) % 0.39/0.65 (define @t42 () (and @t12 @t21)) % 0.39/0.65 (define @t43 () (forall @t4 (=> @t42 @t41))) % 0.39/0.65 (define @t44 () (tptp.empty @t2)) % 0.39/0.65 (define @t45 () (not @t44)) % 0.39/0.65 (define @t46 () (tptp.transfinite_sequence @t1)) % 0.39/0.65 (define @t47 () (tptp.relation_empty_yielding @t1)) % 0.39/0.65 (define @t48 () (tptp.element @t1 @t2)) % 0.39/0.65 (define @t49 () (tptp.finite @t31)) % 0.39/0.65 (define @t50 () (forall @t4 (=> @t42 @t49))) % 0.39/0.65 (define @t51 () (not @t50)) % 0.39/0.65 (define @t52 () (@var "C" $$unsorted)) % 0.39/0.65 (define @t53 () (tptp.element @t2 (tptp.powerset @t52))) % 0.39/0.65 (define @t54 () (@list @t1 @t2 @t52)) % 0.39/0.65 (define @t55 () (not @t21)) % 0.39/0.65 (define @t56 () (not @t12)) % 0.39/0.65 (define @t57 () (or @t56 @t55)) % 0.39/0.65 (define @t58 () (not @t42)) % 0.39/0.65 (define @t59 () (or @t56 @t55 @t49)) % 0.39/0.65 (define @t60 () (forall @t4 @t59)) % 0.39/0.65 (define @t61 () (@quantifiers_skolemize @t60 0)) % 0.39/0.65 (define @t62 () (@quantifiers_skolemize @t60 1)) % 0.39/0.65 (define @t63 () (tptp.set_difference @t62 @t61)) % 0.39/0.65 (define @t64 () (tptp.set_difference @t61 @t62)) % 0.39/0.65 (define @t65 () (tptp.finite @t62)) % 0.39/0.65 (define @t66 () (tptp.finite (tptp.symmetric_difference @t61 @t62))) % 0.39/0.65 (define @t67 () (not @t65)) % 0.39/0.65 (define @t68 () (tptp.finite @t61)) % 0.39/0.65 (define @t69 () (not @t68)) % 0.39/0.65 (define @t70 () (or @t69 @t67 @t66)) % 0.39/0.65 (define @t71 () (@list true)) % 0.39/0.65 (define @t72 () (@list @t70)) % 0.39/0.65 (define @t73 () (tptp.finite @t63)) % 0.39/0.65 (define @t74 () (or @t67 @t73)) % 0.39/0.65 (define @t75 () (@list false false)) % 0.39/0.65 (define @t76 () (@list @t61 @t62)) % 0.39/0.65 (define @t77 () (tptp.finite @t64)) % 0.39/0.65 (define @t78 () (or @t69 @t77)) % 0.39/0.65 (define @t79 () (tptp.finite (tptp.set_union2 @t64 @t63))) % 0.39/0.65 (define @t80 () (not @t73)) % 0.39/0.65 (define @t81 () (not @t77)) % 0.39/0.65 (define @t82 () (or @t81 @t80 @t79)) % 0.39/0.65 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.39/0.65 (assume @p2 (forall @t11 (=> @t10 (forall @t9 (=> @t8 (and @t7 @t6 @t5)))))) % 0.39/0.65 (assume @p3 (forall @t11 (=> @t13 @t12))) % 0.39/0.65 (assume @p4 (forall @t11 (=> @t13 @t14))) % 0.39/0.65 (assume @p5 (forall @t11 (=> @t10 @t17))) % 0.39/0.65 (assume @p6 (forall @t11 (=> @t13 @t18))) % 0.39/0.65 (assume @p7 (forall @t11 (=> (and @t13 @t10) @t20))) % 0.39/0.65 (assume @p8 (forall @t11 (=> @t12 (forall @t9 (=> @t23 @t21))))) % 0.39/0.65 (assume @p9 (forall @t11 (=> @t26 @t25))) % 0.39/0.65 (assume @p10 (forall @t11 (=> @t17 @t10))) % 0.39/0.65 (assume @p11 (forall @t11 (=> @t13 @t27))) % 0.39/0.65 (assume @p12 (forall @t11 (=> @t28 (=> @t10 @t20)))) % 0.39/0.65 (assume @p13 (forall @t4 (= @t30 @t29))) % 0.39/0.65 (assume @p14 (forall @t4 (= @t31 (tptp.symmetric_difference @t2 @t1)))) % 0.39/0.65 (assume @p15 (forall @t4 (= @t31 (tptp.set_union2 @t32 (tptp.set_difference @t2 @t1))))) % 0.39/0.65 (assume @p16 (forall @t11 (exists @t9 @t8))) % 0.39/0.65 (assume @p17 @t34) % 0.39/0.65 (assume @p18 (and @t37 @t36 @t35)) % 0.39/0.65 (assume @p19 (forall @t11 (not (tptp.empty @t22)))) % 0.39/0.65 (assume @p20 @t37) % 0.39/0.65 (assume @p21 (and @t36 @t35 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t37 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.39/0.65 (assume @p22 (forall @t4 (=> @t39 (tptp.relation @t30)))) % 0.39/0.65 (assume @p23 (forall @t4 (=> @t40 (not (tptp.empty @t30))))) % 0.39/0.65 (assume @p24 (forall @t4 (=> @t39 (tptp.relation @t32)))) % 0.39/0.65 (assume @p25 (forall @t4 (=> @t40 (not (tptp.empty @t29))))) % 0.39/0.65 (assume @p26 (and @t37 @t36)) % 0.39/0.65 (assume @p27 (not (tptp.empty tptp.positive_rationals))) % 0.39/0.65 (assume @p28 @t43) % 0.39/0.65 (assume @p29 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.39/0.65 (assume @p30 (exists @t11 (and @t40 @t16 @t15 @t10 @t19))) % 0.39/0.65 (assume @p31 (exists @t11 (and @t40 @t12))) % 0.39/0.65 (assume @p32 (exists @t11 (and @t18 @t14 (tptp.function_yielding @t1)))) % 0.39/0.65 (assume @p33 (exists @t11 (and @t18 @t14))) % 0.39/0.65 (assume @p34 (exists @t11 @t27)) % 0.39/0.65 (assume @p35 (exists @t11 (and @t16 @t15 @t10 (tptp.being_limit_ordinal @t1)))) % 0.39/0.65 (assume @p36 (exists @t11 (and @t13 @t18))) % 0.39/0.65 (assume @p37 (forall @t11 (=> @t40 (exists @t9 (and @t23 @t45))))) % 0.39/0.65 (assume @p38 (exists @t11 @t13)) % 0.39/0.65 (assume @p39 (exists @t11 (and @t28 @t40 @t16 @t15 @t10))) % 0.39/0.65 (assume @p40 (forall @t11 (exists @t9 (and @t23 @t44 @t38 (tptp.function @t2) (tptp.one_to_one @t2) @t7 @t6 @t5 (tptp.natural @t2) @t21)))) % 0.39/0.65 (assume @p41 (exists @t11 @t26)) % 0.39/0.65 (assume @p42 (exists @t11 (and @t18 @t14 @t24 @t13 @t16 @t15 @t10))) % 0.39/0.65 (assume @p43 (exists @t11 (and @t18 @t14 @t46 (tptp.ordinal_yielding @t1)))) % 0.39/0.65 (assume @p44 (exists @t11 (and @t40 @t18))) % 0.39/0.65 (assume @p45 (forall @t11 (exists @t9 (and @t23 @t44)))) % 0.39/0.65 (assume @p46 (exists @t11 @t40)) % 0.39/0.65 (assume @p47 (exists @t11 (and @t28 @t13 @t16 @t15 @t10 @t19))) % 0.39/0.65 (assume @p48 (forall @t11 (=> @t40 (exists @t9 (and @t23 @t45 @t21))))) % 0.39/0.65 (assume @p49 (exists @t11 @t25)) % 0.39/0.65 (assume @p50 (exists @t11 (and @t40 @t16 @t15 @t10))) % 0.39/0.65 (assume @p51 (exists @t11 (and @t18 @t47))) % 0.39/0.65 (assume @p52 (exists @t11 (and @t18 @t47 @t14))) % 0.39/0.65 (assume @p53 (exists @t11 (and @t18 @t14 @t46))) % 0.39/0.65 (assume @p54 (exists @t11 (and @t18 (tptp.relation_non_empty @t1) @t14))) % 0.39/0.65 (assume @p55 (forall @t4 (tptp.subset @t1 @t1))) % 0.39/0.65 (assume @p56 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.39/0.65 (assume @p57 (forall @t4 (=> @t3 @t48))) % 0.39/0.65 (assume @p58 @t51) % 0.39/0.65 (assume @p59 (forall @t4 (=> @t48 (or @t44 @t3)))) % 0.39/0.65 (assume @p60 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.39/0.65 (assume @p61 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.39/0.65 (assume @p62 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.39/0.65 (assume @p63 (forall @t54 (=> (and @t3 @t53) (tptp.element @t1 @t52)))) % 0.39/0.65 (assume @p64 (forall @t11 (= (tptp.symmetric_difference @t1 tptp.empty_set) @t1))) % 0.39/0.65 (assume @p65 (forall @t54 (not (and @t3 @t53 (tptp.empty @t52))))) % 0.39/0.65 (assume @p66 (forall @t11 (=> @t13 (= @t1 tptp.empty_set)))) % 0.39/0.65 (assume @p67 (forall @t4 (not (and @t3 @t44)))) % 0.39/0.65 (assume @p68 (forall @t4 (not (and @t13 (not (= @t1 @t2)) @t44)))) % 0.39/0.65 (assume @p69 true) % 0.39/0.65 (step @p70 :rule evaluate :args ((= false true))) % 0.39/0.65 (step @p71 :rule aci_norm :args ((= (or @t57 @t41) (or @t56 @t55 @t41)))) % 0.39/0.65 (step @p72 :rule refl :args (@t41)) % 0.39/0.65 (step @p73 :rule bool-and-de-morgan :args (@t12 @t21 true)) % 0.39/0.65 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t58 @t41))) % 0.39/0.65 (step @p75 :rule trans :premises (@p74 @p71)) % 0.39/0.65 (step @p76 :rule bool-impl-elim :args (@t42 @t41)) % 0.39/0.65 (step @p77 :rule trans :premises (@p76 @p75)) % 0.39/0.65 (step @p78 :rule cong :premises (@p77) :args (@t43)) % 0.39/0.65 (step @p79 :rule eq_resolve :premises (@p28 @p78)) % 0.39/0.65 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t64 @t63))) % 0.39/0.65 (step @p81 :rule bool-impl-elim :args (@t12 @t33)) % 0.39/0.65 (step @p82 :rule cong :premises (@p81) :args (@t34)) % 0.39/0.65 (step @p83 :rule eq_resolve :premises (@p17 @p82)) % 0.39/0.65 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t62 @t61))) % 0.39/0.65 (step @p85 :rule aci_norm :args ((= (or @t57 @t49) @t59))) % 0.39/0.65 (step @p86 :rule refl :args (@t49)) % 0.39/0.65 (step @p87 :rule nary_cong :premises (@p73 @p86) :args ((or @t58 @t49))) % 0.39/0.65 (step @p88 :rule trans :premises (@p87 @p85)) % 0.39/0.65 (step @p89 :rule bool-impl-elim :args (@t42 @t49)) % 0.39/0.65 (step @p90 :rule trans :premises (@p89 @p88)) % 0.39/0.65 (step @p91 :rule cong :premises (@p90) :args (@t50)) % 0.39/0.65 (step @p92 :rule cong :premises (@p91) :args (@t51)) % 0.39/0.65 (step @p93 :rule eq_resolve :premises (@p58 @p92)) % 0.39/0.65 (step @p94 :rule skolemize :premises (@p93)) % 0.39/0.65 (step @p95 :rule bool-double-not-elim :args (@t65)) % 0.39/0.65 (step @p96 :rule refl :args (@t70)) % 0.39/0.65 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t70 (not @t67)))) % 0.39/0.65 (step @p98 :rule cnf_or_neg :args (@t70 1)) % 0.39/0.65 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.39/0.65 (step @p100 :rule reordering :premises (@p99) :args ((or @t65 @t70))) % 0.39/0.65 (step @p101 :rule chain_m_resolution :premises (@p100 @p94) :args (@t65 @t71 @t72)) % 0.39/0.65 (step @p102 :rule cnf_or_pos :args (@t74)) % 0.39/0.65 (step @p103 :rule reordering :premises (@p102) :args ((or @t67 @t73 (not @t74)))) % 0.39/0.65 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p84) :args (@t73 @t75 (@list @t65 @t74))) % 0.39/0.65 (step @p105 :rule instantiate :premises (@p83) :args (@t76)) % 0.39/0.65 (step @p106 :rule bool-double-not-elim :args (@t68)) % 0.39/0.65 (step @p107 :rule nary_cong :premises (@p96 @p106) :args ((or @t70 (not @t69)))) % 0.39/0.65 (step @p108 :rule cnf_or_neg :args (@t70 0)) % 0.39/0.65 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.39/0.65 (step @p110 :rule reordering :premises (@p109) :args ((or @t68 @t70))) % 0.39/0.65 (step @p111 :rule chain_m_resolution :premises (@p110 @p94) :args (@t68 @t71 @t72)) % 0.39/0.65 (step @p112 :rule cnf_or_pos :args (@t78)) % 0.39/0.65 (step @p113 :rule reordering :premises (@p112) :args ((or @t69 @t77 (not @t78)))) % 0.39/0.65 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p105) :args (@t77 @t75 (@list @t68 @t78))) % 0.39/0.65 (step @p115 :rule cnf_or_pos :args (@t82)) % 0.39/0.65 (step @p116 :rule reordering :premises (@p115) :args ((or @t81 @t80 @t79 (not @t82)))) % 0.39/0.65 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p104 @p80) :args (@t79 (@list false false false) (@list @t77 @t73 @t82))) % 0.39/0.65 (step @p118 :rule true_intro :premises (@p117)) % 0.39/0.65 (step @p119 :rule instantiate :premises (@p15) :args (@t76)) % 0.39/0.65 (step @p120 :rule cong :premises (@p119) :args (@t66)) % 0.39/0.65 (step @p121 :rule cnf_or_neg :args (@t70 2)) % 0.39/0.65 (step @p122 :rule chain_m_resolution :premises (@p121 @p94) :args ((not @t66) @t71 @t72)) % 0.39/0.65 (step @p123 :rule false_intro :premises (@p122)) % 0.39/0.65 (step @p124 :rule symm :premises (@p123)) % 0.39/0.65 (step @p125 :rule trans :premises (@p124 @p120 @p118)) % 0.39/0.65 (step @p126 false :rule eq_resolve :premises (@p125 @p70)) % 0.39/0.65 ) % 0.39/0.65 % SZS output end Proof % 0.39/0.65 % cvc5 exiting %------------------------------------------------------------------------------