%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR139^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 0.72s 1.00s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR139^1 : TPTP v9.2.1. Released v4.1.0. % 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n002.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 21:57:48 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.72/1.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.72/1.00 % SZS status Theorem % 0.72/1.00 % SZS output start Proof % 0.72/1.00 ( % 0.72/1.00 (declare-sort $$unsorted 0) % 0.72/1.00 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 0.72/1.00 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 0.72/1.00 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.72/1.00 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 0.72/1.00 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.72/1.00 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.72/1.00 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.72/1.00 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.72/1.00 (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.72/1.00 (define @t2 () (_ @t1 tptp.lBill_THFTYPE_i)) % 0.72/1.00 (define @t3 () (_ @t1 tptp.lMary_THFTYPE_i)) % 0.72/1.00 (define @t4 () (not @t3)) % 0.72/1.00 (define @t5 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.72/1.00 (define @t6 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.72/1.00 (define @t7 () (_ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i)) % 0.72/1.00 (define @t8 () (@var "Q" (-> $$unsorted $$unsorted Bool))) % 0.72/1.00 (define @t9 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.72/1.00 (define @t10 () (not (= @t9 @t8))) % 0.72/1.00 (define @t11 () (@var "Y" $$unsorted)) % 0.72/1.00 (define @t12 () (_ (_ @t8 @t11) tptp.lAnna_THFTYPE_i)) % 0.72/1.00 (define @t13 () (_ (_ @t9 @t11) tptp.lBill_THFTYPE_i)) % 0.72/1.00 (define @t14 () (and @t13 @t12 @t10)) % 0.72/1.00 (define @t15 () (@list @t8 @t9 @t11)) % 0.72/1.00 (define @t16 () (exists @t15 @t14)) % 0.72/1.00 (define @t17 () (not @t16)) % 0.72/1.00 (define @t18 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.72/1.00 (define @t19 () (@purify @t1)) % 0.72/1.00 (define @t20 () (= @t8 @t9)) % 0.72/1.00 (define @t21 () (_ @t8 @t11 tptp.lAnna_THFTYPE_i)) % 0.72/1.00 (define @t22 () (_ @t9 @t11 tptp.lBill_THFTYPE_i)) % 0.72/1.00 (define @t23 () (forall @t15 (or (not @t22) (not @t21) @t20))) % 0.72/1.00 (define @t24 () (not @t12)) % 0.72/1.00 (define @t25 () (not @t13)) % 0.72/1.00 (define @t26 () (or @t25 @t24 @t20)) % 0.72/1.00 (define @t27 () (not @t20)) % 0.72/1.00 (define @t28 () (not @t27)) % 0.72/1.00 (define @t29 () (or @t25 @t24 @t28)) % 0.72/1.00 (define @t30 () (and @t13 @t12 @t27)) % 0.72/1.00 (define @t31 () (forall @t15 (not @t30))) % 0.72/1.00 (define @t32 () (not @t31)) % 0.72/1.00 (define @t33 () (@var "BOUND_VARIABLE_15478" $$unsorted)) % 0.72/1.00 (define @t34 () (@list (@var "BOUND_VARIABLE_15477" $$unsorted) @t33)) % 0.72/1.00 (define @t35 () (lambda @t34 (= tptp.lAnna_THFTYPE_i @t33))) % 0.72/1.00 (define @t36 () (@purify @t35)) % 0.72/1.00 (define @t37 () (@var "BOUND_VARIABLE_22993" $$unsorted)) % 0.72/1.00 (define @t38 () (@var "BOUND_VARIABLE_22991" $$unsorted)) % 0.72/1.00 (define @t39 () (@list @t38 @t37)) % 0.72/1.00 (define @t40 () (lambda @t39 true)) % 0.72/1.00 (define @t41 () (@purify @t40)) % 0.72/1.00 (define @t42 () (= @t40 @t35)) % 0.72/1.00 (define @t43 () (@var "BOUND_VARIABLE_15738" $$unsorted)) % 0.72/1.00 (define @t44 () (@var "BOUND_VARIABLE_15737" $$unsorted)) % 0.72/1.00 (define @t45 () (lambda (@list @t44 @t43) true)) % 0.72/1.00 (define @t46 () (lambda @t34 (= @t33 tptp.lAnna_THFTYPE_i))) % 0.72/1.00 (define @t47 () (= @t46 @t45)) % 0.72/1.00 (define @t48 () (@const 0 $$unsorted)) % 0.72/1.00 (define @t49 () (_ @t46 @t48 tptp.lAnna_THFTYPE_i)) % 0.72/1.00 (define @t50 () (not @t49)) % 0.72/1.00 (define @t51 () (_ @t45 @t48 tptp.lBill_THFTYPE_i)) % 0.72/1.00 (define @t52 () (not @t51)) % 0.72/1.00 (define @t53 () (or @t52 @t50 @t47)) % 0.72/1.00 (define @t54 () (= @t41 @t36)) % 0.72/1.00 (define @t55 () (@list false)) % 0.72/1.00 (define @t56 () (= tptp.lAnna_THFTYPE_i @t37)) % 0.72/1.00 (define @t57 () (forall (@list @t37) @t56)) % 0.72/1.00 (define @t58 () (forall @t39 (= true @t56))) % 0.72/1.00 (define @t59 () (=> @t54 @t58)) % 0.72/1.00 (define @t60 () (_ @t19 tptp.lBill_THFTYPE_i)) % 0.72/1.00 (define @t61 () (= @t2 @t60)) % 0.72/1.00 (define @t62 () (= @t1 @t19)) % 0.72/1.00 (define @t63 () (and @t62 @t61)) % 0.72/1.00 (define @t64 () (_ @t1 tptp.lBill_THFTYPE_i)) % 0.72/1.00 (define @t65 () (= @t2 @t64)) % 0.72/1.00 (define @t66 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lMary_THFTYPE_i)) % 0.72/1.00 (assume @p1 @t2) % 0.72/1.00 (assume @p2 @t4) % 0.72/1.00 (assume @p3 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.72/1.00 (assume @p4 (_ @t5 tptp.lBen_THFTYPE_i)) % 0.72/1.00 (assume @p5 (_ @t6 tptp.lBen_THFTYPE_i)) % 0.72/1.00 (assume @p6 (not (_ @t7 tptp.lBen_THFTYPE_i))) % 0.72/1.00 (assume @p7 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.72/1.00 (assume @p8 (_ @t6 tptp.lAnna_THFTYPE_i)) % 0.72/1.00 (assume @p9 (_ @t5 tptp.lAnna_THFTYPE_i)) % 0.72/1.00 (assume @p10 (not (_ @t7 tptp.lAnna_THFTYPE_i))) % 0.72/1.00 (assume @p11 @t17) % 0.72/1.00 (assume @p12 true) % 0.72/1.00 (step @p13 :rule evaluate :args ((= false true))) % 0.72/1.00 (step @p14 :rule refl :args (@t18)) % 0.72/1.00 (step @p15 :rule refl :args (@t2)) % 0.72/1.00 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t2 @t18))) % 0.72/1.00 (step @p17 :rule symm :premises (@p16)) % 0.72/1.00 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.72/1.00 (step @p19 :rule eq_resolve :premises (@p1 @p18)) % 0.72/1.00 (step @p20 :rule true_intro :premises (@p19)) % 0.72/1.00 (step @p21 :rule refl :args (tptp.lBill_THFTYPE_i)) % 0.72/1.00 (step @p22 :rule skolem_intro :args (@t19)) % 0.72/1.00 (step @p23 :rule ho_cong :premises (@p22 @p21)) % 0.72/1.00 (step @p24 :rule bool-double-not-elim :args (@t23)) % 0.72/1.00 (step @p25 :rule refl :args (@t20)) % 0.72/1.00 (step @p26 :rule refl :args (@t21)) % 0.72/1.00 (step @p27 :rule refl :args (@t12)) % 0.72/1.00 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t12 @t21))) % 0.72/1.00 (step @p29 :rule symm :premises (@p28)) % 0.72/1.00 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.72/1.00 (step @p31 :rule cong :premises (@p30) :args (@t24)) % 0.72/1.00 (step @p32 :rule refl :args (@t22)) % 0.72/1.00 (step @p33 :rule refl :args (@t13)) % 0.72/1.00 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t13 @t22))) % 0.72/1.00 (step @p35 :rule symm :premises (@p34)) % 0.72/1.00 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.72/1.00 (step @p37 :rule cong :premises (@p36) :args (@t25)) % 0.72/1.00 (step @p38 :rule nary_cong :premises (@p37 @p31 @p25) :args (@t26)) % 0.72/1.00 (step @p39 :rule cong :premises (@p38) :args ((forall @t15 @t26))) % 0.72/1.00 (step @p40 :rule bool-double-not-elim :args (@t20)) % 0.72/1.00 (step @p41 :rule refl :args (@t24)) % 0.72/1.00 (step @p42 :rule refl :args (@t25)) % 0.72/1.00 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args (@t29)) % 0.72/1.00 (step @p44 :rule aci_norm :args ((= (or @t25 (or @t24 @t28)) @t29))) % 0.72/1.00 (step @p45 :rule trans :premises (@p44 @p43)) % 0.72/1.00 (step @p46 :rule bool-and-de-morgan :args (@t12 @t27 true)) % 0.72/1.00 (step @p47 :rule nary_cong :premises (@p42 @p46) :args ((or @t25 (not (and @t12 @t27))))) % 0.72/1.00 (step @p48 :rule bool-and-de-morgan :args (@t13 @t12 (and @t27))) % 0.72/1.00 (step @p49 :rule trans :premises (@p48 @p47)) % 0.72/1.00 (step @p50 :rule trans :premises (@p49 @p45)) % 0.72/1.00 (step @p51 :rule cong :premises (@p50) :args (@t31)) % 0.72/1.00 (step @p52 :rule trans :premises (@p51 @p39)) % 0.72/1.00 (step @p53 :rule cong :premises (@p52) :args (@t32)) % 0.72/1.00 (step @p54 :rule exists-elim :args ((= (exists @t15 @t30) @t32))) % 0.72/1.00 (step @p55 :rule trans :premises (@p54 @p53)) % 0.72/1.00 (step @p56 :rule eq-symm :args (@t9 @t8)) % 0.72/1.00 (step @p57 :rule cong :premises (@p56) :args (@t10)) % 0.72/1.00 (step @p58 :rule refl :args (@t12)) % 0.72/1.00 (step @p59 :rule refl :args (@t13)) % 0.72/1.00 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args (@t14)) % 0.72/1.00 (step @p61 :rule cong :premises (@p60) :args (@t16)) % 0.72/1.00 (step @p62 :rule trans :premises (@p61 @p55)) % 0.72/1.00 (step @p63 :rule cong :premises (@p62) :args (@t17)) % 0.72/1.00 (step @p64 :rule trans :premises (@p63 @p24)) % 0.72/1.00 (step @p65 :rule eq_resolve :premises (@p11 @p64)) % 0.72/1.00 (step @p66 :rule eq-refl :args (@t35)) % 0.72/1.00 (step @p67 :rule skolem_intro :args (@t36)) % 0.72/1.00 (step @p68 :rule refl :args (@t35)) % 0.72/1.00 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t35 @t36))) % 0.72/1.00 (step @p70 :rule trans :premises (@p69 @p66)) % 0.72/1.00 (step @p71 :rule true_elim :premises (@p70)) % 0.72/1.00 (step @p72 :rule eq-refl :args (@t40)) % 0.72/1.00 (step @p73 :rule refl :args (@t40)) % 0.72/1.00 (step @p74 :rule symm :premises (@p73)) % 0.72/1.00 (step @p75 :rule refl :args (@t40)) % 0.72/1.00 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t40 @t40))) % 0.72/1.00 (step @p77 :rule trans :premises (@p76 @p72)) % 0.72/1.00 (step @p78 :rule skolem_intro :args (@t41)) % 0.72/1.00 (step @p79 :rule cong :premises (@p75 @p78) :args ((= @t40 @t41))) % 0.72/1.00 (step @p80 :rule trans :premises (@p79 @p77)) % 0.72/1.00 (step @p81 :rule true_elim :premises (@p80)) % 0.72/1.00 (step @p82 :rule cong :premises (@p81 @p71) :args (@t42)) % 0.72/1.00 (step @p83 :rule refl :args (@t23)) % 0.72/1.00 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t23 @t42))) % 0.72/1.00 (step @p85 :rule aci_norm :args ((= (or false false @t42) @t42))) % 0.72/1.00 (step @p86 :rule eq-symm :args (@t35 @t40)) % 0.72/1.00 (step @p87 :rule symm :premises (@p73)) % 0.72/1.00 (step @p88 :rule alpha_equiv :args (@t45 (@list @t44 @t43) (@list @t38 @t37))) % 0.72/1.00 (step @p89 :rule trans :premises (@p88 @p87)) % 0.72/1.00 (step @p90 :rule eq-symm :args (@t33 tptp.lAnna_THFTYPE_i)) % 0.72/1.00 (step @p91 :rule cong :premises (@p90) :args (@t46)) % 0.72/1.00 (step @p92 :rule cong :premises (@p91 @p89) :args (@t47)) % 0.72/1.00 (step @p93 :rule trans :premises (@p92 @p86)) % 0.72/1.00 (step @p94 :rule evaluate :args ((not true))) % 0.72/1.00 (step @p95 :rule eq-refl :args (tptp.lAnna_THFTYPE_i)) % 0.72/1.00 (step @p96 :rule beta-reduce :args ((= @t49 (= tptp.lAnna_THFTYPE_i tptp.lAnna_THFTYPE_i)))) % 0.72/1.00 (step @p97 :rule trans :premises (@p96 @p95)) % 0.72/1.00 (step @p98 :rule cong :premises (@p97) :args (@t50)) % 0.72/1.00 (step @p99 :rule trans :premises (@p98 @p94)) % 0.72/1.00 (step @p100 :rule beta-reduce :args ((= @t51 true))) % 0.72/1.00 (step @p101 :rule cong :premises (@p100) :args (@t52)) % 0.72/1.00 (step @p102 :rule trans :premises (@p101 @p94)) % 0.72/1.00 (step @p103 :rule nary_cong :premises (@p102 @p99 @p93) :args (@t53)) % 0.72/1.00 (step @p104 :rule trans :premises (@p103 @p85)) % 0.72/1.00 (step @p105 :rule cong :premises (@p83 @p104) :args ((=> @t23 @t53))) % 0.72/1.00 (assume-push @p169 @t23) % 0.72/1.00 (step @p107 :rule instantiate :premises (@p65) :args ((@list @t46 @t45 @t48))) % 0.72/1.00 (step-pop @p170 :rule scope :premises (@p107)) % 0.72/1.00 (step @p108 :rule process_scope :premises (@p170) :args (@t53)) % 0.72/1.00 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 0.72/1.00 (step @p111 :rule eq_resolve :premises (@p110 @p84)) % 0.72/1.00 (step @p112 :rule implies_elim :premises (@p111)) % 0.72/1.00 (step @p113 :rule chain_m_resolution :premises (@p112 @p65) :args (@t54 @t55 (@list @t23))) % 0.72/1.00 (step @p114 :rule quant-unused-vars :args ((= (forall @t39 @t56) @t57))) % 0.72/1.00 (step @p115 :rule bool-eq-true :args (@t56)) % 0.72/1.00 (step @p116 :rule eq-symm :args (true @t56)) % 0.72/1.00 (step @p117 :rule trans :premises (@p116 @p115)) % 0.72/1.00 (step @p118 :rule cong :premises (@p117) :args (@t58)) % 0.72/1.00 (step @p119 :rule trans :premises (@p118 @p114)) % 0.72/1.00 (step @p120 :rule refl :args (@t54)) % 0.72/1.00 (step @p121 :rule cong :premises (@p120 @p119) :args (@t59)) % 0.72/1.00 ; WARNING: add trust step for TRUST % 0.72/1.00 ; trust TRUST THEORY_LEMMA % 0.72/1.00 (step @p122 :rule trust :premises () :args (@t59)) % 0.72/1.00 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.72/1.00 (step @p124 :rule implies_elim :premises (@p123)) % 0.72/1.00 (step @p125 :rule chain_m_resolution :premises (@p124 @p113) :args (@t57 @t55 (@list @t54))) % 0.72/1.00 (step @p126 :rule instantiate :premises (@p125) :args ((@list tptp.lBill_THFTYPE_i))) % 0.72/1.00 (step @p127 :rule instantiate :premises (@p125) :args ((@list tptp.lMary_THFTYPE_i))) % 0.72/1.00 (step @p128 :rule symm :premises (@p127)) % 0.72/1.00 (step @p129 :rule trans :premises (@p128 @p126)) % 0.72/1.00 (step @p130 :rule refl :args (@t60)) % 0.72/1.00 (step @p131 :rule cong :premises (@p18 @p130) :args (@t61)) % 0.72/1.00 (step @p132 :rule refl :args (@t62)) % 0.72/1.00 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t63)) % 0.72/1.00 (step @p134 :rule eq-symm :args (@t60 @t2)) % 0.72/1.00 (step @p135 :rule eq-symm :args (@t19 @t1)) % 0.72/1.00 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((and (= @t19 @t1) (= @t60 @t2)))) % 0.72/1.00 (step @p137 :rule trans :premises (@p136 @p133)) % 0.72/1.00 (step @p138 :rule evaluate :args ((and true true))) % 0.72/1.00 (step @p139 :rule eq-refl :args (@t2)) % 0.72/1.00 (step @p140 :rule refl :args (@t64)) % 0.72/1.00 (step @p141 :rule refl :args (@t2)) % 0.72/1.00 (step @p142 :rule cong :premises (@p141 @p140) :args (@t65)) % 0.72/1.00 (step @p143 :rule trans :premises (@p142 @p139)) % 0.72/1.00 (step @p144 :rule eq-refl :args (@t1)) % 0.72/1.00 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((and (= @t1 @t1) @t65))) % 0.72/1.00 (step @p146 :rule trans :premises (@p145 @p138)) % 0.72/1.00 (step @p147 :rule ho_cong :premises (@p22 @p21)) % 0.72/1.00 (step @p148 :rule cong :premises (@p141 @p147) :args (@t61)) % 0.72/1.00 (step @p149 :rule refl :args (@t1)) % 0.72/1.00 (step @p150 :rule cong :premises (@p149 @p22) :args (@t62)) % 0.72/1.00 (step @p151 :rule nary_cong :premises (@p150 @p148) :args (@t63)) % 0.72/1.00 (step @p152 :rule trans :premises (@p136 @p151 @p146)) % 0.72/1.00 (step @p153 :rule true_elim :premises (@p152)) % 0.72/1.00 (step @p154 :rule eq_resolve :premises (@p153 @p137)) % 0.72/1.00 (step @p155 :rule and_elim :premises (@p154) :args (0)) % 0.72/1.00 (step @p156 :rule ho_cong :premises (@p155 @p129)) % 0.72/1.00 (step @p157 :rule refl :args (@t66)) % 0.72/1.00 (step @p158 :rule refl :args (@t66)) % 0.72/1.00 (step @p159 :rule refl :args (@t3)) % 0.72/1.00 (step @p160 :rule cong :premises (@p159 @p158) :args ((= @t3 @t66))) % 0.72/1.00 (step @p161 :rule symm :premises (@p160)) % 0.72/1.00 (step @p162 :rule eq_resolve :premises (@p159 @p161)) % 0.72/1.00 (step @p163 :rule cong :premises (@p162) :args (@t4)) % 0.72/1.00 (step @p164 :rule eq_resolve :premises (@p2 @p163)) % 0.72/1.00 (step @p165 :rule false_intro :premises (@p164)) % 0.72/1.00 (step @p166 :rule symm :premises (@p165)) % 0.72/1.00 (step @p167 :rule trans :premises (@p166 @p157 @p156 @p23 @p18 @p20)) % 0.72/1.00 (step @p168 false :rule eq_resolve :premises (@p167 @p13)) % 0.72/1.00 ) % 0.72/1.00 % SZS output end Proof % 0.72/1.00 % cvc5 exiting %------------------------------------------------------------------------------