%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR136^2 : 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 : 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 08:13:04 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR136^2 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 : Mon Jun 1 21:57:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 0.37/0.57 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 0.37/0.57 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 0.37/0.57 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.37/0.57 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.37/0.57 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.37/0.57 (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.37/0.57 (define @t2 () (_ @t1 tptp.lBill_THFTYPE_i)) % 0.37/0.57 (define @t3 () (_ @t1 tptp.lMary_THFTYPE_i)) % 0.37/0.57 (define @t4 () (not @t3)) % 0.37/0.57 (define @t5 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.37/0.57 (define @t6 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.37/0.57 (define @t7 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.37/0.57 (define @t8 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t9 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t10 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.57 (define @t11 () (_ (_ @t10 @t9) @t8)) % 0.37/0.57 (define @t12 () (@list @t9 @t8)) % 0.37/0.57 (define @t13 () (forall @t12 @t11)) % 0.37/0.57 (define @t14 () (not @t13)) % 0.37/0.57 (define @t15 () (_ (_ @t10 tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.37/0.57 (define @t16 () (_ (_ @t10 tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.37/0.57 (define @t17 () (and @t16 @t15 @t14)) % 0.37/0.57 (define @t18 () (@list @t10)) % 0.37/0.57 (define @t19 () (exists @t18 @t17)) % 0.37/0.57 (define @t20 () (not @t19)) % 0.37/0.57 (define @t21 () (@var "BOUND_VARIABLE_7467" $$unsorted)) % 0.37/0.57 (define @t22 () (@var "BOUND_VARIABLE_7465" $$unsorted)) % 0.37/0.57 (define @t23 () (_ @t10 @t22 @t21)) % 0.37/0.57 (define @t24 () (_ @t10 tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.57 (define @t25 () (not @t24)) % 0.37/0.57 (define @t26 () (_ @t10 tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.57 (define @t27 () (not @t26)) % 0.37/0.57 (define @t28 () (or @t27 @t25 @t23)) % 0.37/0.57 (define @t29 () (forall (@list @t10 @t22 @t21) @t28)) % 0.37/0.57 (define @t30 () (@list @t22 @t21)) % 0.37/0.57 (define @t31 () (forall @t30 @t28)) % 0.37/0.57 (define @t32 () (forall @t30 @t23)) % 0.37/0.57 (define @t33 () (or @t27 @t25 @t32)) % 0.37/0.57 (define @t34 () (_ @t10 @t9 @t8)) % 0.37/0.57 (define @t35 () (forall @t12 @t34)) % 0.37/0.57 (define @t36 () (not @t15)) % 0.37/0.57 (define @t37 () (not @t16)) % 0.37/0.57 (define @t38 () (or @t37 @t36 @t35)) % 0.37/0.57 (define @t39 () (not @t35)) % 0.37/0.57 (define @t40 () (not @t39)) % 0.37/0.57 (define @t41 () (or @t37 @t36 @t40)) % 0.37/0.57 (define @t42 () (and @t16 @t15 @t39)) % 0.37/0.57 (define @t43 () (forall @t18 (not @t42))) % 0.37/0.57 (define @t44 () (not @t43)) % 0.37/0.57 (define @t45 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.57 (define @t46 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.57 (define @t47 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lMary_THFTYPE_i)) % 0.37/0.57 (define @t48 () (not @t45)) % 0.37/0.57 (define @t49 () (not @t46)) % 0.37/0.57 (define @t50 () (or @t49 @t48 @t47)) % 0.37/0.57 (define @t51 () (not @t50)) % 0.37/0.57 (assume @p1 @t2) % 0.37/0.57 (assume @p2 @t4) % 0.37/0.57 (assume @p3 @t5) % 0.37/0.57 (assume @p4 (_ @t6 tptp.lBen_THFTYPE_i)) % 0.37/0.57 (assume @p5 (_ @t7 tptp.lBen_THFTYPE_i)) % 0.37/0.57 (assume @p6 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.37/0.57 (assume @p7 (_ @t7 tptp.lAnna_THFTYPE_i)) % 0.37/0.57 (assume @p8 (_ @t6 tptp.lAnna_THFTYPE_i)) % 0.37/0.57 (assume @p9 @t20) % 0.37/0.57 (assume @p10 true) % 0.37/0.57 (step @p11 :rule bool-double-not-elim :args (@t29)) % 0.37/0.57 (step @p12 :rule quant-merge-prenex :args ((= (forall @t18 @t31) @t29))) % 0.37/0.57 (step @p13 :rule alpha_equiv :args (@t32 (@list @t22 @t21) (@list @t9 @t8))) % 0.37/0.57 (step @p14 :rule refl :args (@t25)) % 0.37/0.57 (step @p15 :rule refl :args (@t27)) % 0.37/0.57 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13) :args (@t33)) % 0.37/0.57 (step @p17 :rule quant-miniscope-or :args ((= @t31 @t33))) % 0.37/0.57 (step @p18 :rule trans :premises (@p17 @p16)) % 0.37/0.57 (step @p19 :rule symm :premises (@p18)) % 0.37/0.57 (step @p20 :rule cong :premises (@p19) :args ((forall @t18 (or @t27 @t25 @t35)))) % 0.37/0.57 (step @p21 :rule trans :premises (@p20 @p12)) % 0.37/0.57 (step @p22 :rule refl :args (@t35)) % 0.37/0.57 (step @p23 :rule refl :args (@t24)) % 0.37/0.57 (step @p24 :rule refl :args (@t15)) % 0.37/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t15 @t24))) % 0.37/0.57 (step @p26 :rule symm :premises (@p25)) % 0.37/0.57 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.37/0.57 (step @p28 :rule cong :premises (@p27) :args (@t36)) % 0.37/0.57 (step @p29 :rule refl :args (@t26)) % 0.37/0.57 (step @p30 :rule refl :args (@t16)) % 0.37/0.57 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t16 @t26))) % 0.37/0.57 (step @p32 :rule symm :premises (@p31)) % 0.37/0.57 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33) :args (@t37)) % 0.37/0.57 (step @p35 :rule nary_cong :premises (@p34 @p28 @p22) :args (@t38)) % 0.37/0.57 (step @p36 :rule cong :premises (@p35) :args ((forall @t18 @t38))) % 0.37/0.57 (step @p37 :rule trans :premises (@p36 @p21)) % 0.37/0.57 (step @p38 :rule bool-double-not-elim :args (@t35)) % 0.37/0.57 (step @p39 :rule refl :args (@t36)) % 0.37/0.57 (step @p40 :rule refl :args (@t37)) % 0.37/0.57 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args (@t41)) % 0.37/0.57 (step @p42 :rule aci_norm :args ((= (or @t37 (or @t36 @t40)) @t41))) % 0.37/0.57 (step @p43 :rule trans :premises (@p42 @p41)) % 0.37/0.57 (step @p44 :rule bool-and-de-morgan :args (@t15 @t39 true)) % 0.37/0.57 (step @p45 :rule nary_cong :premises (@p40 @p44) :args ((or @t37 (not (and @t15 @t39))))) % 0.37/0.57 (step @p46 :rule bool-and-de-morgan :args (@t16 @t15 (and @t39))) % 0.37/0.57 (step @p47 :rule trans :premises (@p46 @p45)) % 0.37/0.57 (step @p48 :rule trans :premises (@p47 @p43)) % 0.37/0.57 (step @p49 :rule cong :premises (@p48) :args (@t43)) % 0.37/0.57 (step @p50 :rule trans :premises (@p49 @p37)) % 0.37/0.57 (step @p51 :rule cong :premises (@p50) :args (@t44)) % 0.37/0.57 (step @p52 :rule exists-elim :args ((= (exists @t18 @t42) @t44))) % 0.37/0.57 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.57 (step @p54 :rule refl :args (@t34)) % 0.37/0.57 (step @p55 :rule refl :args (@t11)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t11 @t34))) % 0.37/0.57 (step @p57 :rule symm :premises (@p56)) % 0.37/0.57 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.37/0.57 (step @p59 :rule cong :premises (@p58) :args (@t13)) % 0.37/0.57 (step @p60 :rule cong :premises (@p59) :args (@t14)) % 0.37/0.57 (step @p61 :rule refl :args (@t15)) % 0.37/0.57 (step @p62 :rule refl :args (@t16)) % 0.37/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args (@t17)) % 0.37/0.57 (step @p64 :rule cong :premises (@p63) :args (@t19)) % 0.37/0.57 (step @p65 :rule trans :premises (@p64 @p53)) % 0.37/0.57 (step @p66 :rule cong :premises (@p65) :args (@t20)) % 0.37/0.57 (step @p67 :rule trans :premises (@p66 @p11)) % 0.37/0.57 (step @p68 :rule eq_resolve :premises (@p9 @p67)) % 0.37/0.57 (step @p69 :rule refl :args (@t45)) % 0.37/0.57 (step @p70 :rule refl :args (@t5)) % 0.37/0.57 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t5 @t45))) % 0.37/0.57 (step @p72 :rule symm :premises (@p71)) % 0.37/0.57 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.37/0.57 (step @p74 :rule eq_resolve :premises (@p3 @p73)) % 0.37/0.57 (step @p75 :rule refl :args (@t46)) % 0.37/0.57 (step @p76 :rule refl :args (@t2)) % 0.37/0.57 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t2 @t46))) % 0.37/0.57 (step @p78 :rule symm :premises (@p77)) % 0.37/0.57 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.37/0.57 (step @p80 :rule eq_resolve :premises (@p1 @p79)) % 0.37/0.57 (step @p81 :rule refl :args (@t47)) % 0.37/0.57 (step @p82 :rule refl :args (@t3)) % 0.37/0.57 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t3 @t47))) % 0.37/0.57 (step @p84 :rule symm :premises (@p83)) % 0.37/0.57 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.37/0.57 (step @p86 :rule cong :premises (@p85) :args (@t4)) % 0.37/0.57 (step @p87 :rule eq_resolve :premises (@p2 @p86)) % 0.37/0.57 (step @p88 :rule cnf_or_pos :args (@t50)) % 0.37/0.57 (step @p89 :rule reordering :premises (@p88) :args ((or @t47 @t49 @t48 @t51))) % 0.37/0.57 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p80 @p74) :args (@t51 (@list true false false) (@list @t47 @t46 @t45))) % 0.37/0.57 (assume-push @p97 @t29) % 0.37/0.57 (step @p92 :rule instantiate :premises (@p68) :args ((@list tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lMary_THFTYPE_i))) % 0.37/0.57 (step-pop @p98 :rule scope :premises (@p92)) % 0.37/0.57 (step @p93 :rule process_scope :premises (@p98) :args (@t50)) % 0.37/0.57 (step @p95 :rule implies_elim :premises (@p93)) % 0.37/0.57 (step @p96 false :rule chain_m_resolution :premises (@p95 @p90 @p68) :args (false (@list true false) (@list @t50 @t29))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------