%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR138^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:13:04 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : CSR138^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n021.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 21:59:04 EDT 2026 % 0.15/0.33 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 0.37/0.56 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 0.37/0.56 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 0.37/0.56 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.37/0.56 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.37/0.56 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.37/0.56 (define @t1 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.37/0.56 (define @t2 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t4 () (_ (_ tptp.parent_THFTYPE_IiioI @t3) @t2)) % 0.37/0.56 (define @t5 () (not @t4)) % 0.37/0.56 (define @t6 () (@list @t3 @t2)) % 0.37/0.56 (define @t7 () (exists @t6 @t5)) % 0.37/0.56 (define @t8 () (_ (_ tptp.likes_THFTYPE_IiioI @t3) @t2)) % 0.37/0.56 (define @t9 () (not @t8)) % 0.37/0.56 (define @t10 () (exists @t6 @t9)) % 0.37/0.56 (define @t11 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.37/0.56 (define @t12 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.37/0.56 (define @t13 () (_ @t11 tptp.lAnna_THFTYPE_i)) % 0.37/0.56 (define @t14 () (@var "W" $$unsorted)) % 0.37/0.56 (define @t15 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t16 () (lambda (@list @t15 @t14) true)) % 0.37/0.56 (define @t17 () (@var "Q" (-> $$unsorted $$unsorted Bool))) % 0.37/0.56 (define @t18 () (= @t17 @t16)) % 0.37/0.56 (define @t19 () (not @t18)) % 0.37/0.56 (define @t20 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.56 (define @t21 () (= @t20 @t16)) % 0.37/0.56 (define @t22 () (not @t21)) % 0.37/0.56 (define @t23 () (_ (_ @t17 @t2) tptp.lAnna_THFTYPE_i)) % 0.37/0.56 (define @t24 () (_ (_ @t20 @t2) tptp.lBill_THFTYPE_i)) % 0.37/0.56 (define @t25 () (and @t24 @t23 @t22 @t19)) % 0.37/0.56 (define @t26 () (@list @t17 @t20 @t2)) % 0.37/0.56 (define @t27 () (exists @t26 @t25)) % 0.37/0.56 (define @t28 () (not @t27)) % 0.37/0.56 (define @t29 () (@var "BOUND_VARIABLE_8207" $$unsorted)) % 0.37/0.56 (define @t30 () (@var "BOUND_VARIABLE_8205" $$unsorted)) % 0.37/0.56 (define @t31 () (lambda (@list @t30 @t29) true)) % 0.37/0.56 (define @t32 () (= @t17 @t31)) % 0.37/0.56 (define @t33 () (= @t20 @t31)) % 0.37/0.56 (define @t34 () (_ @t17 @t2 tptp.lAnna_THFTYPE_i)) % 0.37/0.56 (define @t35 () (_ @t20 @t2 tptp.lBill_THFTYPE_i)) % 0.37/0.56 (define @t36 () (forall @t26 (or (not @t35) (not @t34) @t33 @t32))) % 0.37/0.56 (define @t37 () (not @t23)) % 0.37/0.56 (define @t38 () (not @t24)) % 0.37/0.56 (define @t39 () (or @t38 @t37 @t33 @t32)) % 0.37/0.56 (define @t40 () (not @t32)) % 0.37/0.56 (define @t41 () (not @t40)) % 0.37/0.56 (define @t42 () (not @t33)) % 0.37/0.56 (define @t43 () (not @t42)) % 0.37/0.56 (define @t44 () (or @t38 @t37 @t43 @t41)) % 0.37/0.56 (define @t45 () (and @t24 @t23 @t42 @t40)) % 0.37/0.56 (define @t46 () (forall @t26 (not @t45))) % 0.37/0.56 (define @t47 () (not @t46)) % 0.37/0.56 (define @t48 () (tptp.likes_THFTYPE_IiioI @t3 @t2)) % 0.37/0.56 (define @t49 () (forall @t6 (not @t9))) % 0.37/0.56 (define @t50 () (not @t49)) % 0.37/0.56 (define @t51 () (forall @t6 @t48)) % 0.37/0.56 (define @t52 () (tptp.likes_THFTYPE_IiioI (@quantifiers_skolemize @t51 0) (@quantifiers_skolemize @t51 1))) % 0.37/0.56 (define @t53 () (@purify @t31)) % 0.37/0.56 (define @t54 () (= tptp.likes_THFTYPE_IiioI @t53)) % 0.37/0.56 (define @t55 () (=> @t54 (= @t52 true))) % 0.37/0.56 (define @t56 () (not @t54)) % 0.37/0.56 (define @t57 () (@list true)) % 0.37/0.56 (define @t58 () (tptp.parent_THFTYPE_IiioI @t3 @t2)) % 0.37/0.56 (define @t59 () (forall @t6 (not @t5))) % 0.37/0.56 (define @t60 () (not @t59)) % 0.37/0.56 (define @t61 () (forall @t6 @t58)) % 0.37/0.56 (define @t62 () (tptp.parent_THFTYPE_IiioI (@quantifiers_skolemize @t61 0) (@quantifiers_skolemize @t61 1))) % 0.37/0.56 (define @t63 () (= tptp.parent_THFTYPE_IiioI @t53)) % 0.37/0.56 (define @t64 () (=> @t63 (= @t62 true))) % 0.37/0.56 (define @t65 () (not @t63)) % 0.37/0.56 (define @t66 () (tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lAnna_THFTYPE_i)) % 0.37/0.56 (define @t67 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.56 (define @t68 () (not @t66)) % 0.37/0.56 (define @t69 () (not @t67)) % 0.37/0.56 (define @t70 () (or @t69 @t68 @t54 @t63)) % 0.37/0.56 (define @t71 () (not @t70)) % 0.37/0.56 (define @t72 () (= tptp.parent_THFTYPE_IiioI @t31)) % 0.37/0.56 (define @t73 () (= tptp.likes_THFTYPE_IiioI @t31)) % 0.37/0.56 (define @t74 () (or @t69 @t68 @t73 @t72)) % 0.37/0.56 (assume @p1 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.37/0.56 (assume @p2 @t1) % 0.37/0.56 (assume @p3 @t7) % 0.37/0.56 (assume @p4 @t10) % 0.37/0.56 (assume @p5 (_ @t11 tptp.lBen_THFTYPE_i)) % 0.37/0.56 (assume @p6 (_ @t12 tptp.lBen_THFTYPE_i)) % 0.37/0.56 (assume @p7 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.37/0.56 (assume @p8 (_ @t12 tptp.lAnna_THFTYPE_i)) % 0.37/0.56 (assume @p9 @t13) % 0.37/0.56 (assume @p10 @t28) % 0.37/0.56 (assume @p11 true) % 0.37/0.56 (step @p12 :rule bool-double-not-elim :args (@t36)) % 0.37/0.56 (step @p13 :rule refl :args (@t32)) % 0.37/0.56 (step @p14 :rule refl :args (@t33)) % 0.37/0.56 (step @p15 :rule refl :args (@t34)) % 0.37/0.56 (step @p16 :rule refl :args (@t23)) % 0.37/0.56 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t23 @t34))) % 0.37/0.56 (step @p18 :rule symm :premises (@p17)) % 0.37/0.56 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.37/0.56 (step @p20 :rule cong :premises (@p19) :args (@t37)) % 0.37/0.56 (step @p21 :rule refl :args (@t35)) % 0.37/0.56 (step @p22 :rule refl :args (@t24)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t24 @t35))) % 0.37/0.56 (step @p24 :rule symm :premises (@p23)) % 0.37/0.56 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args (@t38)) % 0.37/0.56 (step @p27 :rule nary_cong :premises (@p26 @p20 @p14 @p13) :args (@t39)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27) :args ((forall @t26 @t39))) % 0.37/0.56 (step @p29 :rule bool-double-not-elim :args (@t32)) % 0.37/0.56 (step @p30 :rule bool-double-not-elim :args (@t33)) % 0.37/0.56 (step @p31 :rule refl :args (@t37)) % 0.37/0.56 (step @p32 :rule refl :args (@t38)) % 0.37/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30 @p29) :args (@t44)) % 0.37/0.56 (step @p34 :rule aci_norm :args ((= (or @t38 (or @t37 (or @t43 @t41))) @t44))) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.56 (step @p36 :rule bool-and-de-morgan :args (@t42 @t40 true)) % 0.37/0.56 (step @p37 :rule nary_cong :premises (@p31 @p36) :args ((or @t37 (not (and @t42 @t40))))) % 0.37/0.56 (step @p38 :rule bool-and-de-morgan :args (@t23 @t42 (and @t40))) % 0.37/0.56 (step @p39 :rule trans :premises (@p38 @p37)) % 0.37/0.56 (step @p40 :rule nary_cong :premises (@p32 @p39) :args ((or @t38 (not (and @t23 @t42 @t40))))) % 0.37/0.56 (step @p41 :rule bool-and-de-morgan :args (@t24 @t23 (and @t42 @t40))) % 0.37/0.56 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.56 (step @p43 :rule trans :premises (@p42 @p35)) % 0.37/0.56 (step @p44 :rule cong :premises (@p43) :args (@t46)) % 0.37/0.56 (step @p45 :rule trans :premises (@p44 @p28)) % 0.37/0.56 (step @p46 :rule cong :premises (@p45) :args (@t47)) % 0.37/0.56 (step @p47 :rule exists-elim :args ((= (exists @t26 @t45) @t47))) % 0.37/0.56 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.56 (step @p49 :rule refl :args (@t31)) % 0.37/0.56 (step @p50 :rule symm :premises (@p49)) % 0.37/0.56 (step @p51 :rule alpha_equiv :args (@t16 (@list @t15 @t14) (@list @t30 @t29))) % 0.37/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.56 (step @p53 :rule refl :args (@t17)) % 0.37/0.56 (step @p54 :rule cong :premises (@p53 @p52) :args (@t18)) % 0.37/0.56 (step @p55 :rule cong :premises (@p54) :args (@t19)) % 0.37/0.56 (step @p56 :rule refl :args (@t20)) % 0.37/0.56 (step @p57 :rule cong :premises (@p56 @p52) :args (@t21)) % 0.37/0.56 (step @p58 :rule cong :premises (@p57) :args (@t22)) % 0.37/0.56 (step @p59 :rule refl :args (@t23)) % 0.37/0.56 (step @p60 :rule refl :args (@t24)) % 0.37/0.56 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58 @p55) :args (@t25)) % 0.37/0.56 (step @p62 :rule cong :premises (@p61) :args (@t27)) % 0.37/0.56 (step @p63 :rule trans :premises (@p62 @p48)) % 0.37/0.56 (step @p64 :rule cong :premises (@p63) :args (@t28)) % 0.37/0.56 (step @p65 :rule trans :premises (@p64 @p12)) % 0.37/0.56 (step @p66 :rule eq_resolve :premises (@p10 @p65)) % 0.37/0.56 (step @p67 :rule refl :args (@t48)) % 0.37/0.56 (step @p68 :rule refl :args (@t8)) % 0.37/0.56 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t8 @t48))) % 0.37/0.56 (step @p70 :rule symm :premises (@p69)) % 0.37/0.56 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.37/0.56 (step @p72 :rule cong :premises (@p71) :args ((forall @t6 @t8))) % 0.37/0.56 (step @p73 :rule bool-double-not-elim :args (@t8)) % 0.37/0.56 (step @p74 :rule cong :premises (@p73) :args (@t49)) % 0.37/0.56 (step @p75 :rule trans :premises (@p74 @p72)) % 0.37/0.56 (step @p76 :rule cong :premises (@p75) :args (@t50)) % 0.37/0.56 (step @p77 :rule exists-elim :args ((= @t10 @t50))) % 0.37/0.56 (step @p78 :rule trans :premises (@p77 @p76)) % 0.37/0.56 (step @p79 :rule eq_resolve :premises (@p4 @p78)) % 0.37/0.56 (step @p80 :rule skolemize :premises (@p79)) % 0.37/0.56 (step @p81 :rule bool-eq-true :args (@t52)) % 0.37/0.56 (step @p82 :rule refl :args (@t54)) % 0.37/0.56 (step @p83 :rule cong :premises (@p82 @p81) :args (@t55)) % 0.37/0.56 ; WARNING: add trust step for TRUST % 0.37/0.56 ; trust TRUST THEORY_LEMMA % 0.37/0.56 (step @p84 :rule trust :premises () :args (@t55)) % 0.37/0.56 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.37/0.57 (step @p86 :rule implies_elim :premises (@p85)) % 0.37/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or @t52 @t56))) % 0.37/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p80) :args (@t56 @t57 (@list @t52))) % 0.37/0.57 (step @p89 :rule refl :args (@t58)) % 0.37/0.57 (step @p90 :rule refl :args (@t4)) % 0.37/0.57 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t4 @t58))) % 0.37/0.57 (step @p92 :rule symm :premises (@p91)) % 0.37/0.57 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.37/0.57 (step @p94 :rule cong :premises (@p93) :args ((forall @t6 @t4))) % 0.37/0.57 (step @p95 :rule bool-double-not-elim :args (@t4)) % 0.37/0.57 (step @p96 :rule cong :premises (@p95) :args (@t59)) % 0.37/0.57 (step @p97 :rule trans :premises (@p96 @p94)) % 0.37/0.57 (step @p98 :rule cong :premises (@p97) :args (@t60)) % 0.37/0.57 (step @p99 :rule exists-elim :args ((= @t7 @t60))) % 0.37/0.57 (step @p100 :rule trans :premises (@p99 @p98)) % 0.37/0.57 (step @p101 :rule eq_resolve :premises (@p3 @p100)) % 0.37/0.57 (step @p102 :rule skolemize :premises (@p101)) % 0.37/0.57 (step @p103 :rule bool-eq-true :args (@t62)) % 0.37/0.57 (step @p104 :rule refl :args (@t63)) % 0.37/0.57 (step @p105 :rule cong :premises (@p104 @p103) :args (@t64)) % 0.37/0.57 ; trust TRUST THEORY_LEMMA % 0.37/0.57 (step @p106 :rule trust :premises () :args (@t64)) % 0.37/0.57 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.37/0.57 (step @p108 :rule implies_elim :premises (@p107)) % 0.37/0.57 (step @p109 :rule reordering :premises (@p108) :args ((or @t62 @t65))) % 0.37/0.57 (step @p110 :rule chain_m_resolution :premises (@p109 @p102) :args (@t65 @t57 (@list @t62))) % 0.37/0.57 (step @p111 :rule refl :args (@t66)) % 0.37/0.57 (step @p112 :rule refl :args (@t13)) % 0.37/0.57 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t13 @t66))) % 0.37/0.57 (step @p114 :rule symm :premises (@p113)) % 0.37/0.57 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 0.37/0.57 (step @p116 :rule eq_resolve :premises (@p9 @p115)) % 0.37/0.57 (step @p117 :rule refl :args (@t67)) % 0.37/0.57 (step @p118 :rule refl :args (@t1)) % 0.37/0.57 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t1 @t67))) % 0.37/0.57 (step @p120 :rule symm :premises (@p119)) % 0.37/0.57 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 0.37/0.57 (step @p122 :rule eq_resolve :premises (@p2 @p121)) % 0.37/0.57 (step @p123 :rule cnf_or_pos :args (@t70)) % 0.37/0.57 (step @p124 :rule reordering :premises (@p123) :args ((or @t69 @t68 @t63 @t54 @t71))) % 0.37/0.57 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p116 @p110 @p88) :args (@t71 (@list false false true true) (@list @t67 @t66 @t63 @t54))) % 0.37/0.57 (step @p126 :rule eq-refl :args (@t31)) % 0.37/0.57 (step @p127 :rule refl :args (@t31)) % 0.37/0.57 (step @p128 :rule cong :premises (@p127 @p50) :args ((= @t31 @t31))) % 0.37/0.57 (step @p129 :rule trans :premises (@p128 @p126)) % 0.37/0.57 (step @p130 :rule skolem_intro :args (@t53)) % 0.37/0.57 (step @p131 :rule cong :premises (@p127 @p130) :args ((= @t31 @t53))) % 0.37/0.57 (step @p132 :rule trans :premises (@p131 @p129)) % 0.37/0.57 (step @p133 :rule true_elim :premises (@p132)) % 0.37/0.57 (step @p134 :rule refl :args (tptp.parent_THFTYPE_IiioI)) % 0.37/0.57 (step @p135 :rule cong :premises (@p134 @p133) :args (@t72)) % 0.37/0.57 (step @p136 :rule refl :args (tptp.likes_THFTYPE_IiioI)) % 0.37/0.57 (step @p137 :rule cong :premises (@p136 @p133) :args (@t73)) % 0.37/0.57 (step @p138 :rule refl :args (@t68)) % 0.37/0.57 (step @p139 :rule refl :args (@t69)) % 0.37/0.57 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137 @p135) :args (@t74)) % 0.37/0.57 (step @p141 :rule refl :args (@t36)) % 0.37/0.57 (step @p142 :rule cong :premises (@p141 @p140) :args ((=> @t36 @t74))) % 0.37/0.57 (assume-push @p150 @t36) % 0.37/0.57 (step @p144 :rule instantiate :premises (@p66) :args ((@list tptp.parent_THFTYPE_IiioI tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i))) % 0.37/0.57 (step-pop @p151 :rule scope :premises (@p144)) % 0.37/0.57 (step @p145 :rule process_scope :premises (@p151) :args (@t74)) % 0.37/0.57 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 0.37/0.57 (step @p148 :rule implies_elim :premises (@p147)) % 0.37/0.57 (step @p149 false :rule chain_m_resolution :premises (@p148 @p125 @p66) :args (false (@list true false) (@list @t70 @t36))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------