%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU113+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 : n027.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 08:50:35 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU113+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 : n027.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 16:30:21 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.cap_closed (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.finite_subsets (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.empty_set $$unsorted) % 0.38/0.61 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.61 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.61 (define @t4 () (@list @t1 @t2)) % 0.38/0.61 (define @t5 () (tptp.finite @t1)) % 0.38/0.61 (define @t6 () (tptp.empty @t1)) % 0.38/0.61 (define @t7 () (@list @t1)) % 0.38/0.61 (define @t8 () (tptp.diff_closed @t1)) % 0.38/0.61 (define @t9 () (tptp.cup_closed @t1)) % 0.38/0.61 (define @t10 () (and @t9 @t8)) % 0.38/0.61 (define @t11 () (tptp.preboolean @t1)) % 0.38/0.61 (define @t12 () (tptp.finite @t2)) % 0.38/0.61 (define @t13 () (tptp.powerset @t1)) % 0.38/0.61 (define @t14 () (tptp.element @t2 @t13)) % 0.38/0.61 (define @t15 () (@list @t2)) % 0.38/0.61 (define @t16 () (tptp.finite_subsets @t1)) % 0.38/0.61 (define @t17 () (@var "C" $$unsorted)) % 0.38/0.61 (define @t18 () (tptp.in @t17 @t2)) % 0.38/0.61 (define @t19 () (tptp.in @t17 @t1)) % 0.38/0.61 (define @t20 () (@list @t17)) % 0.38/0.61 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.38/0.61 (define @t22 () (tptp.subset @t1 @t2)) % 0.38/0.61 (define @t23 () (= @t22 @t21)) % 0.38/0.61 (define @t24 () (forall @t4 @t23)) % 0.38/0.61 (define @t25 () (tptp.finite @t17)) % 0.38/0.61 (define @t26 () (= (= @t2 @t16) (forall @t20 (= @t18 (and (tptp.subset @t17 @t1) @t25))))) % 0.38/0.61 (define @t27 () (tptp.preboolean @t2)) % 0.38/0.61 (define @t28 () (forall @t4 (=> @t27 @t26))) % 0.38/0.61 (define @t29 () (tptp.preboolean @t16)) % 0.38/0.61 (define @t30 () (tptp.preboolean @t13)) % 0.38/0.61 (define @t31 () (tptp.diff_closed @t13)) % 0.38/0.61 (define @t32 () (tptp.cup_closed @t13)) % 0.38/0.61 (define @t33 () (not (tptp.empty @t13))) % 0.38/0.61 (define @t34 () (forall @t7 (and @t33 @t32 @t31 @t30))) % 0.38/0.61 (define @t35 () (forall @t7 @t33)) % 0.38/0.61 (define @t36 () (not @t6)) % 0.38/0.61 (define @t37 () (tptp.empty @t2)) % 0.38/0.61 (define @t38 () (not @t37)) % 0.38/0.61 (define @t39 () (tptp.element @t1 @t2)) % 0.38/0.61 (define @t40 () (forall @t7 (tptp.subset @t16 @t13))) % 0.38/0.61 (define @t41 () (or @t37 @t3)) % 0.38/0.61 (define @t42 () (forall @t4 (=> @t39 @t41))) % 0.38/0.61 (define @t43 () (tptp.element @t1 (tptp.powerset @t2))) % 0.38/0.61 (define @t44 () (forall @t4 (= @t43 @t22))) % 0.38/0.61 (define @t45 () (tptp.element @t2 (tptp.powerset @t17))) % 0.38/0.61 (define @t46 () (@list @t1 @t2 @t17)) % 0.38/0.61 (define @t47 () (@quantifiers_skolemize @t40 0)) % 0.38/0.61 (define @t48 () (tptp.powerset @t47)) % 0.38/0.61 (define @t49 () (tptp.finite_subsets @t47)) % 0.38/0.61 (define @t50 () (tptp.in @t17 @t49)) % 0.38/0.61 (define @t51 () (forall @t20 (or (not @t50) (tptp.in @t17 @t48)))) % 0.38/0.61 (define @t52 () (@quantifiers_skolemize @t51 0)) % 0.38/0.61 (define @t53 () (tptp.subset @t52 @t47)) % 0.38/0.61 (define @t54 () (tptp.element @t52 @t48)) % 0.38/0.61 (define @t55 () (forall @t4 (= @t22 @t43))) % 0.38/0.61 (define @t56 () (= @t53 @t54)) % 0.38/0.61 (define @t57 () (= @t54 @t53)) % 0.38/0.61 (define @t58 () (@list false)) % 0.38/0.61 (define @t59 () (not @t39)) % 0.38/0.61 (define @t60 () (tptp.subset @t49 @t48)) % 0.38/0.61 (define @t61 () (= @t60 @t51)) % 0.38/0.61 (define @t62 () (not @t51)) % 0.38/0.61 (define @t63 () (@list true false)) % 0.38/0.61 (define @t64 () (tptp.in @t52 @t48)) % 0.38/0.61 (define @t65 () (tptp.in @t52 @t49)) % 0.38/0.61 (define @t66 () (not @t65)) % 0.38/0.61 (define @t67 () (or @t66 @t64)) % 0.38/0.61 (define @t68 () (@list true)) % 0.38/0.61 (define @t69 () (@list @t67)) % 0.38/0.61 (define @t70 () (forall @t7 @t30)) % 0.38/0.61 (define @t71 () (@list @t1)) % 0.38/0.61 (define @t72 () (forall @t7 @t31)) % 0.38/0.61 (define @t73 () (forall @t7 @t32)) % 0.38/0.61 (define @t74 () (and @t35 @t73 @t72 @t70)) % 0.38/0.61 (define @t75 () (@list @t47)) % 0.38/0.61 (define @t76 () (tptp.empty @t48)) % 0.38/0.61 (define @t77 () (not @t54)) % 0.38/0.61 (define @t78 () (or @t77 @t76 @t64)) % 0.38/0.61 (define @t79 () (not @t53)) % 0.38/0.61 (define @t80 () (forall @t20 (= @t50 (and (tptp.subset @t17 @t47) @t25)))) % 0.38/0.61 (define @t81 () (= (= @t49 @t49) @t80)) % 0.38/0.61 (define @t82 () (tptp.preboolean @t49)) % 0.38/0.61 (define @t83 () (not @t82)) % 0.38/0.61 (define @t84 () (or @t83 @t81)) % 0.38/0.61 (define @t85 () (forall @t4 (or (not @t27) @t26))) % 0.38/0.61 (define @t86 () (or @t83 @t80)) % 0.38/0.61 (define @t87 () (@list false false)) % 0.38/0.61 (define @t88 () (and @t53 (tptp.finite @t52))) % 0.38/0.61 (define @t89 () (= @t65 @t88)) % 0.38/0.61 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.61 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.38/0.61 (assume @p3 (forall @t7 (=> @t11 @t10))) % 0.38/0.61 (assume @p4 (forall @t7 (=> @t5 (forall @t15 (=> @t14 @t12))))) % 0.38/0.61 (assume @p5 (forall @t7 (=> @t10 @t11))) % 0.38/0.61 (assume @p6 (forall @t4 (=> (tptp.element @t2 @t16) @t12))) % 0.38/0.61 (assume @p7 @t24) % 0.38/0.61 (assume @p8 @t28) % 0.38/0.61 (assume @p9 (forall @t7 @t29)) % 0.38/0.61 (assume @p10 (forall @t7 (exists @t15 (tptp.element @t2 @t1)))) % 0.38/0.61 (assume @p11 @t34) % 0.38/0.61 (assume @p12 @t35) % 0.38/0.61 (assume @p13 (tptp.empty tptp.empty_set)) % 0.38/0.61 (assume @p14 (forall @t7 (and (not (tptp.empty @t16)) (tptp.cup_closed @t16) (tptp.diff_closed @t16) @t29))) % 0.38/0.61 (assume @p15 (exists @t7 (and @t36 @t5))) % 0.38/0.61 (assume @p16 (exists @t7 (and @t36 @t9 (tptp.cap_closed @t1) @t8 @t11))) % 0.38/0.61 (assume @p17 (forall @t7 (=> @t36 (exists @t15 (and @t14 @t38))))) % 0.38/0.61 (assume @p18 (exists @t7 @t6)) % 0.38/0.61 (assume @p19 (forall @t7 (exists @t15 (and @t14 @t37 (tptp.relation @t2) (tptp.function @t2) (tptp.one_to_one @t2) (tptp.epsilon_transitive @t2) (tptp.epsilon_connected @t2) (tptp.ordinal @t2) (tptp.natural @t2) @t12)))) % 0.38/0.61 (assume @p20 (forall @t7 (exists @t15 (and @t14 @t37)))) % 0.38/0.61 (assume @p21 (exists @t7 @t36)) % 0.38/0.61 (assume @p22 (forall @t7 (=> @t36 (exists @t15 (and @t14 @t38 @t12))))) % 0.38/0.61 (assume @p23 (forall @t4 (tptp.subset @t1 @t1))) % 0.38/0.61 (assume @p24 (forall @t4 (=> @t3 @t39))) % 0.38/0.61 (assume @p25 (not @t40)) % 0.38/0.61 (assume @p26 @t42) % 0.38/0.61 (assume @p27 @t44) % 0.38/0.61 (assume @p28 (forall @t46 (=> (and @t3 @t45) (tptp.element @t1 @t17)))) % 0.38/0.61 (assume @p29 (forall @t46 (not (and @t3 @t45 (tptp.empty @t17))))) % 0.38/0.61 (assume @p30 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.38/0.61 (assume @p31 (forall @t4 (not (and @t3 @t37)))) % 0.38/0.61 (assume @p32 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t37)))) % 0.38/0.61 (assume @p33 true) % 0.38/0.61 (step @p34 :rule eq-symm :args (@t43 @t22)) % 0.38/0.61 (step @p35 :rule cong :premises (@p34) :args (@t44)) % 0.38/0.61 (step @p36 :rule eq_resolve :premises (@p27 @p35)) % 0.38/0.61 (step @p37 :rule eq-symm :args (@t53 @t54)) % 0.38/0.61 (step @p38 :rule refl :args (@t55)) % 0.38/0.61 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t55 @t56))) % 0.38/0.61 (assume-push @p122 @t55) % 0.38/0.61 (step @p41 :rule instantiate :premises (@p36) :args ((@list @t52 @t47))) % 0.38/0.61 (step-pop @p123 :rule scope :premises (@p41)) % 0.38/0.61 (step @p42 :rule process_scope :premises (@p123) :args (@t56)) % 0.38/0.61 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 0.38/0.61 (step @p45 :rule implies_elim :premises (@p44)) % 0.38/0.61 (step @p46 :rule chain_m_resolution :premises (@p45 @p36) :args (@t57 @t58 (@list @t55))) % 0.38/0.61 (step @p47 :rule aci_norm :args ((= (or @t59 @t41) (or @t59 @t37 @t3)))) % 0.38/0.61 (step @p48 :rule bool-impl-elim :args (@t39 @t41)) % 0.38/0.61 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.61 (step @p50 :rule cong :premises (@p49) :args (@t42)) % 0.38/0.61 (step @p51 :rule eq_resolve :premises (@p26 @p50)) % 0.38/0.61 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t52 @t48))) % 0.38/0.61 (step @p53 :rule bool-impl-elim :args (@t19 @t18)) % 0.38/0.61 (step @p54 :rule cong :premises (@p53) :args (@t21)) % 0.38/0.61 (step @p55 :rule refl :args (@t22)) % 0.38/0.61 (step @p56 :rule cong :premises (@p55 @p54) :args (@t23)) % 0.38/0.61 (step @p57 :rule cong :premises (@p56) :args (@t24)) % 0.38/0.61 (step @p58 :rule eq_resolve :premises (@p7 @p57)) % 0.38/0.61 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t49 @t48))) % 0.38/0.61 (step @p60 :rule skolemize :premises (@p25)) % 0.38/0.61 (step @p61 :rule cnf_equiv_pos2 :args (@t61)) % 0.38/0.61 (step @p62 :rule reordering :premises (@p61) :args ((or @t60 @t62 (not @t61)))) % 0.38/0.61 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p59) :args (@t62 @t63 (@list @t60 @t61))) % 0.38/0.61 (step @p64 :rule skolemize :premises (@p63)) % 0.38/0.61 (step @p65 :rule cnf_or_neg :args (@t67 1)) % 0.38/0.61 (step @p66 :rule chain_m_resolution :premises (@p65 @p64) :args ((not @t64) @t68 @t69)) % 0.38/0.61 (step @p67 :rule alpha_equiv :args (@t70 @t71 (@list (@var "BOUND_VARIABLE_7646" $$unsorted)))) % 0.38/0.61 (step @p68 :rule alpha_equiv :args (@t72 @t71 (@list (@var "BOUND_VARIABLE_7639" $$unsorted)))) % 0.38/0.61 (step @p69 :rule alpha_equiv :args (@t73 @t71 (@list (@var "BOUND_VARIABLE_7633" $$unsorted)))) % 0.38/0.61 (step @p70 :rule alpha_equiv :args (@t35 @t71 (@list (@var "BOUND_VARIABLE_7626" $$unsorted)))) % 0.38/0.61 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68 @p67) :args (@t74)) % 0.38/0.61 (step @p72 :rule quant-miniscope-and :args ((= @t34 @t74))) % 0.38/0.61 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.61 (step @p74 :rule eq_resolve :premises (@p11 @p73)) % 0.38/0.61 (step @p75 :rule and_elim :premises (@p74) :args (0)) % 0.38/0.61 (step @p76 :rule instantiate :premises (@p75) :args (@t75)) % 0.38/0.61 (step @p77 :rule cnf_or_pos :args (@t78)) % 0.38/0.61 (step @p78 :rule reordering :premises (@p77) :args ((or @t76 @t64 @t77 (not @t78)))) % 0.38/0.61 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p66 @p52) :args (@t77 (@list true true false) (@list @t76 @t64 @t78))) % 0.38/0.61 (step @p80 :rule cnf_equiv_pos2 :args (@t57)) % 0.38/0.61 (step @p81 :rule reordering :premises (@p80) :args ((or @t54 @t79 (not @t57)))) % 0.38/0.61 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p46) :args (@t79 @t63 (@list @t54 @t57))) % 0.38/0.61 (step @p83 :rule bool-impl-elim :args (@t27 @t26)) % 0.38/0.61 (step @p84 :rule cong :premises (@p83) :args (@t28)) % 0.38/0.61 (step @p85 :rule eq_resolve :premises (@p8 @p84)) % 0.38/0.61 (step @p86 :rule bool-eq-true :args (@t80)) % 0.38/0.61 (step @p87 :rule eq-symm :args (true @t80)) % 0.38/0.61 (step @p88 :rule trans :premises (@p87 @p86)) % 0.38/0.61 (step @p89 :rule refl :args (@t80)) % 0.38/0.61 (step @p90 :rule eq-refl :args (@t49)) % 0.38/0.61 (step @p91 :rule cong :premises (@p90 @p89) :args (@t81)) % 0.38/0.61 (step @p92 :rule trans :premises (@p91 @p88)) % 0.38/0.61 (step @p93 :rule refl :args (@t83)) % 0.38/0.61 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t84)) % 0.38/0.61 (step @p95 :rule refl :args (@t85)) % 0.38/0.61 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t85 @t84))) % 0.38/0.61 (assume-push @p124 @t85) % 0.38/0.61 (step @p98 :rule instantiate :premises (@p85) :args ((@list @t47 @t49))) % 0.38/0.61 (step-pop @p125 :rule scope :premises (@p98)) % 0.38/0.61 (step @p99 :rule process_scope :premises (@p125) :args (@t84)) % 0.38/0.61 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.38/0.61 (step @p102 :rule implies_elim :premises (@p101)) % 0.38/0.61 (step @p103 :rule chain_m_resolution :premises (@p102 @p85) :args (@t86 @t58 (@list @t85))) % 0.38/0.61 (step @p104 :rule instantiate :premises (@p9) :args (@t75)) % 0.38/0.61 (step @p105 :rule cnf_or_pos :args (@t86)) % 0.38/0.61 (step @p106 :rule reordering :premises (@p105) :args ((or @t83 @t80 (not @t86)))) % 0.38/0.61 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p103) :args (@t80 @t87 (@list @t82 @t86))) % 0.38/0.61 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t52))) % 0.38/0.61 (step @p109 :rule bool-double-not-elim :args (@t65)) % 0.38/0.61 (step @p110 :rule refl :args (@t67)) % 0.38/0.61 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t67 (not @t66)))) % 0.38/0.61 (step @p112 :rule cnf_or_neg :args (@t67 0)) % 0.38/0.61 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.38/0.61 (step @p114 :rule reordering :premises (@p113) :args ((or @t65 @t67))) % 0.38/0.61 (step @p115 :rule chain_m_resolution :premises (@p114 @p64) :args (@t65 @t68 @t69)) % 0.38/0.61 (step @p116 :rule cnf_equiv_pos1 :args (@t89)) % 0.38/0.61 (step @p117 :rule reordering :premises (@p116) :args ((or @t66 @t88 (not @t89)))) % 0.38/0.61 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p108) :args (@t88 @t87 (@list @t65 @t89))) % 0.38/0.61 (step @p119 :rule cnf_and_pos :args (@t88 0)) % 0.38/0.61 (step @p120 :rule reordering :premises (@p119) :args ((or @t53 (not @t88)))) % 0.38/0.61 (step @p121 false :rule chain_m_resolution :premises (@p120 @p118 @p82) :args (false (@list false true) (@list @t88 @t53))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------