%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR153^1 : 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 : n029.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 08:13:09 AM UTC 2026 % Result : Theorem 2.12s 2.30s % Output : Proof 2.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR153^1 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n029.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 22:00:17 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 2.12/2.30 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.12/2.30 % SZS status Theorem % 2.12/2.30 % SZS output start Proof % 2.12/2.30 ( % 2.12/2.30 (declare-sort $$unsorted 0) % 2.12/2.30 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 2.12/2.30 (declare-const tptp.sister_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 2.12/2.30 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 2.12/2.30 (declare-const tptp.brother_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 2.12/2.30 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 2.12/2.30 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 2.12/2.30 (define @t1 () (_ tptp.brother_THFTYPE_IiioI tptp.lBob_THFTYPE_i)) % 2.12/2.30 (define @t2 () (_ tptp.sister_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 2.12/2.30 (define @t3 () (not (= tptp.lSue_THFTYPE_i tptp.lBob_THFTYPE_i))) % 2.12/2.30 (define @t4 () (_ tptp.sister_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 2.12/2.30 (define @t5 () (not (= tptp.lBob_THFTYPE_i tptp.lBill_THFTYPE_i))) % 2.12/2.30 (define @t6 () (@var "Y" $$unsorted)) % 2.12/2.30 (define @t7 () (@var "X" $$unsorted)) % 2.12/2.30 (define @t8 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 2.12/2.30 (define @t9 () (_ (_ @t8 @t7) @t6)) % 2.12/2.30 (define @t10 () (@list @t7 @t6)) % 2.12/2.30 (define @t11 () (forall @t10 @t9)) % 2.12/2.30 (define @t12 () (not @t11)) % 2.12/2.30 (define @t13 () (_ (_ @t8 tptp.lSue_THFTYPE_i) tptp.lBob_THFTYPE_i)) % 2.12/2.30 (define @t14 () (_ (_ @t8 tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 2.12/2.30 (define @t15 () (and @t14 @t13 @t12)) % 2.12/2.30 (define @t16 () (@list @t8)) % 2.12/2.30 (define @t17 () (exists @t16 @t15)) % 2.12/2.30 (define @t18 () (not @t17)) % 2.12/2.30 (define @t19 () (@var "BOUND_VARIABLE_7495" $$unsorted)) % 2.12/2.30 (define @t20 () (@var "BOUND_VARIABLE_7493" $$unsorted)) % 2.12/2.30 (define @t21 () (_ @t8 @t20 @t19)) % 2.12/2.30 (define @t22 () (_ @t8 tptp.lSue_THFTYPE_i tptp.lBob_THFTYPE_i)) % 2.12/2.30 (define @t23 () (not @t22)) % 2.12/2.30 (define @t24 () (_ @t8 tptp.lBob_THFTYPE_i tptp.lBill_THFTYPE_i)) % 2.12/2.30 (define @t25 () (not @t24)) % 2.12/2.30 (define @t26 () (or @t25 @t23 @t21)) % 2.12/2.30 (define @t27 () (forall (@list @t8 @t20 @t19) @t26)) % 2.12/2.30 (define @t28 () (@list @t20 @t19)) % 2.12/2.30 (define @t29 () (forall @t28 @t26)) % 2.12/2.30 (define @t30 () (forall @t28 @t21)) % 2.12/2.30 (define @t31 () (or @t25 @t23 @t30)) % 2.12/2.30 (define @t32 () (_ @t8 @t7 @t6)) % 2.12/2.30 (define @t33 () (forall @t10 @t32)) % 2.12/2.30 (define @t34 () (not @t13)) % 2.12/2.30 (define @t35 () (not @t14)) % 2.12/2.30 (define @t36 () (or @t35 @t34 @t33)) % 2.12/2.30 (define @t37 () (not @t33)) % 2.12/2.30 (define @t38 () (not @t37)) % 2.12/2.30 (define @t39 () (or @t35 @t34 @t38)) % 2.12/2.30 (define @t40 () (and @t14 @t13 @t37)) % 2.12/2.30 (define @t41 () (forall @t16 (not @t40))) % 2.12/2.30 (define @t42 () (not @t41)) % 2.12/2.30 (define @t43 () (= tptp.lBob_THFTYPE_i tptp.lSue_THFTYPE_i)) % 2.12/2.30 (define @t44 () (= tptp.lBill_THFTYPE_i tptp.lBob_THFTYPE_i)) % 2.12/2.30 (define @t45 () (or @t44 @t43)) % 2.12/2.30 (define @t46 () (not @t45)) % 2.12/2.30 (define @t47 () (@const 0 $$unsorted)) % 2.12/2.30 (define @t48 () (not (= @t47 @t47))) % 2.12/2.30 (define @t49 () (@var "BOUND_VARIABLE_18556" $$unsorted)) % 2.12/2.30 (define @t50 () (@var "BOUND_VARIABLE_18555" $$unsorted)) % 2.12/2.30 (define @t51 () (lambda (@list @t50 @t49) (not (= @t50 @t49)))) % 2.12/2.30 (define @t52 () (_ @t51 @t47 @t47)) % 2.12/2.30 (define @t53 () (_ @t51 tptp.lSue_THFTYPE_i tptp.lBob_THFTYPE_i)) % 2.12/2.30 (define @t54 () (not @t53)) % 2.12/2.30 (define @t55 () (_ @t51 tptp.lBob_THFTYPE_i tptp.lBill_THFTYPE_i)) % 2.12/2.30 (define @t56 () (not @t55)) % 2.12/2.30 (define @t57 () (or @t56 @t54 @t52)) % 2.12/2.30 (assume @p1 (and (_ @t2 tptp.lBill_THFTYPE_i) (_ @t2 tptp.lBob_THFTYPE_i) (_ @t1 tptp.lBill_THFTYPE_i))) % 2.12/2.30 (assume @p2 (and (not (= tptp.lMary_THFTYPE_i tptp.lSue_THFTYPE_i)) (not (= tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) (not (= tptp.lBob_THFTYPE_i tptp.lMary_THFTYPE_i)))) % 2.12/2.30 (assume @p3 (and (not (= tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) @t3)) % 2.12/2.30 (assume @p4 (and (not (_ @t4 tptp.lSue_THFTYPE_i)) (not (_ @t4 tptp.lBill_THFTYPE_i)) (not (_ @t1 tptp.lMary_THFTYPE_i)))) % 2.12/2.30 (assume @p5 @t5) % 2.12/2.30 (assume @p6 @t18) % 2.12/2.30 (assume @p7 true) % 2.12/2.30 (step @p8 :rule bool-double-not-elim :args (@t27)) % 2.12/2.30 (step @p9 :rule quant-merge-prenex :args ((= (forall @t16 @t29) @t27))) % 2.12/2.30 (step @p10 :rule alpha_equiv :args (@t30 (@list @t20 @t19) (@list @t7 @t6))) % 2.12/2.30 (step @p11 :rule refl :args (@t23)) % 2.12/2.30 (step @p12 :rule refl :args (@t25)) % 2.12/2.30 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10) :args (@t31)) % 2.12/2.30 (step @p14 :rule quant-miniscope-or :args ((= @t29 @t31))) % 2.12/2.30 (step @p15 :rule trans :premises (@p14 @p13)) % 2.12/2.30 (step @p16 :rule symm :premises (@p15)) % 2.12/2.30 (step @p17 :rule cong :premises (@p16) :args ((forall @t16 (or @t25 @t23 @t33)))) % 2.12/2.30 (step @p18 :rule trans :premises (@p17 @p9)) % 2.12/2.30 (step @p19 :rule refl :args (@t33)) % 2.12/2.30 (step @p20 :rule refl :args (@t22)) % 2.12/2.30 (step @p21 :rule refl :args (@t13)) % 2.12/2.30 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t13 @t22))) % 2.12/2.30 (step @p23 :rule symm :premises (@p22)) % 2.12/2.30 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 2.12/2.30 (step @p25 :rule cong :premises (@p24) :args (@t34)) % 2.12/2.30 (step @p26 :rule refl :args (@t24)) % 2.12/2.30 (step @p27 :rule refl :args (@t14)) % 2.12/2.30 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t14 @t24))) % 2.12/2.30 (step @p29 :rule symm :premises (@p28)) % 2.12/2.30 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 2.12/2.30 (step @p31 :rule cong :premises (@p30) :args (@t35)) % 2.12/2.30 (step @p32 :rule nary_cong :premises (@p31 @p25 @p19) :args (@t36)) % 2.12/2.30 (step @p33 :rule cong :premises (@p32) :args ((forall @t16 @t36))) % 2.12/2.30 (step @p34 :rule trans :premises (@p33 @p18)) % 2.12/2.30 (step @p35 :rule bool-double-not-elim :args (@t33)) % 2.12/2.30 (step @p36 :rule refl :args (@t34)) % 2.12/2.30 (step @p37 :rule refl :args (@t35)) % 2.12/2.30 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args (@t39)) % 2.12/2.30 (step @p39 :rule aci_norm :args ((= (or @t35 (or @t34 @t38)) @t39))) % 2.12/2.30 (step @p40 :rule trans :premises (@p39 @p38)) % 2.12/2.30 (step @p41 :rule bool-and-de-morgan :args (@t13 @t37 true)) % 2.12/2.30 (step @p42 :rule nary_cong :premises (@p37 @p41) :args ((or @t35 (not (and @t13 @t37))))) % 2.12/2.30 (step @p43 :rule bool-and-de-morgan :args (@t14 @t13 (and @t37))) % 2.12/2.30 (step @p44 :rule trans :premises (@p43 @p42)) % 2.12/2.30 (step @p45 :rule trans :premises (@p44 @p40)) % 2.12/2.30 (step @p46 :rule cong :premises (@p45) :args (@t41)) % 2.12/2.30 (step @p47 :rule trans :premises (@p46 @p34)) % 2.12/2.30 (step @p48 :rule cong :premises (@p47) :args (@t42)) % 2.12/2.30 (step @p49 :rule exists-elim :args ((= (exists @t16 @t40) @t42))) % 2.12/2.30 (step @p50 :rule trans :premises (@p49 @p48)) % 2.12/2.30 (step @p51 :rule refl :args (@t32)) % 2.12/2.30 (step @p52 :rule refl :args (@t9)) % 2.12/2.30 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t9 @t32))) % 2.12/2.30 (step @p54 :rule symm :premises (@p53)) % 2.12/2.30 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 2.12/2.30 (step @p56 :rule cong :premises (@p55) :args (@t11)) % 2.12/2.30 (step @p57 :rule cong :premises (@p56) :args (@t12)) % 2.12/2.30 (step @p58 :rule refl :args (@t13)) % 2.12/2.30 (step @p59 :rule refl :args (@t14)) % 2.12/2.30 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args (@t15)) % 2.12/2.30 (step @p61 :rule cong :premises (@p60) :args (@t17)) % 2.12/2.30 (step @p62 :rule trans :premises (@p61 @p50)) % 2.12/2.30 (step @p63 :rule cong :premises (@p62) :args (@t18)) % 2.12/2.30 (step @p64 :rule trans :premises (@p63 @p8)) % 2.12/2.30 (step @p65 :rule eq_resolve :premises (@p6 @p64)) % 2.12/2.30 (step @p66 :rule symm :premises (@p5)) % 2.12/2.30 (step @p67 :rule and_elim :premises (@p3) :args (1)) % 2.12/2.30 (step @p68 :rule symm :premises (@p67)) % 2.12/2.30 (step @p69 :rule cnf_or_pos :args (@t45)) % 2.12/2.30 (step @p70 :rule reordering :premises (@p69) :args ((or @t43 @t44 @t46))) % 2.12/2.30 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p66) :args (@t46 (@list true true) (@list @t43 @t44))) % 2.12/2.30 (step @p72 :rule aci_norm :args ((= (or @t44 @t43 false) @t45))) % 2.12/2.30 (step @p73 :rule evaluate :args ((not true))) % 2.12/2.30 (step @p74 :rule eq-refl :args (@t47)) % 2.12/2.30 (step @p75 :rule cong :premises (@p74) :args (@t48)) % 2.12/2.30 (step @p76 :rule trans :premises (@p75 @p73)) % 2.12/2.30 (step @p77 :rule beta-reduce :args ((= @t52 @t48))) % 2.12/2.30 (step @p78 :rule trans :premises (@p77 @p76)) % 2.12/2.30 (step @p79 :rule bool-double-not-elim :args (@t43)) % 2.12/2.30 (step @p80 :rule eq-symm :args (tptp.lSue_THFTYPE_i tptp.lBob_THFTYPE_i)) % 2.12/2.30 (step @p81 :rule cong :premises (@p80) :args (@t3)) % 2.12/2.30 (step @p82 :rule beta-reduce :args ((= @t53 @t3))) % 2.12/2.30 (step @p83 :rule trans :premises (@p82 @p81)) % 2.12/2.30 (step @p84 :rule cong :premises (@p83) :args (@t54)) % 2.12/2.30 (step @p85 :rule trans :premises (@p84 @p79)) % 2.12/2.30 (step @p86 :rule bool-double-not-elim :args (@t44)) % 2.12/2.30 (step @p87 :rule eq-symm :args (tptp.lBob_THFTYPE_i tptp.lBill_THFTYPE_i)) % 2.12/2.30 (step @p88 :rule cong :premises (@p87) :args (@t5)) % 2.12/2.30 (step @p89 :rule beta-reduce :args ((= @t55 @t5))) % 2.12/2.30 (step @p90 :rule trans :premises (@p89 @p88)) % 2.12/2.30 (step @p91 :rule cong :premises (@p90) :args (@t56)) % 2.12/2.30 (step @p92 :rule trans :premises (@p91 @p86)) % 2.12/2.30 (step @p93 :rule nary_cong :premises (@p92 @p85 @p78) :args (@t57)) % 2.12/2.30 (step @p94 :rule trans :premises (@p93 @p72)) % 2.12/2.30 (step @p95 :rule refl :args (@t27)) % 2.12/2.30 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t27 @t57))) % 2.12/2.30 (assume-push @p104 @t27) % 2.12/2.30 (step @p98 :rule instantiate :premises (@p65) :args ((@list @t51 @t47 @t47))) % 2.12/2.30 (step-pop @p105 :rule scope :premises (@p98)) % 2.12/2.30 (step @p99 :rule process_scope :premises (@p105) :args (@t57)) % 2.12/2.30 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 2.12/2.30 (step @p102 :rule implies_elim :premises (@p101)) % 2.12/2.30 (step @p103 false :rule chain_m_resolution :premises (@p102 @p71 @p65) :args (false (@list true false) (@list @t45 @t27))) % 2.12/2.30 ) % 2.12/2.30 % SZS output end Proof % 2.12/2.30 % cvc5 exiting %------------------------------------------------------------------------------