%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ088^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:44:11 AM UTC 2026 % Result : Theorem 2.50s 2.76s % Output : Proof 2.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ088^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:17:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 2.50/2.76 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.50/2.76 % SZS status Theorem % 2.50/2.76 % SZS output start Proof % 2.50/2.76 ( % 2.50/2.76 (declare-sort $$unsorted 0) % 2.50/2.76 (declare-const tptp.cBRUCE $$unsorted) % 2.50/2.76 (declare-const tptp.cLYLE $$unsorted) % 2.50/2.76 (declare-const tptp.cLIKES (-> $$unsorted $$unsorted Bool)) % 2.50/2.76 (define @t1 () (@var "V" $$unsorted)) % 2.50/2.76 (define @t2 () (@var "U" $$unsorted)) % 2.50/2.76 (define @t3 () (_ (_ tptp.cLIKES @t2) @t1)) % 2.50/2.76 (define @t4 () (@list @t1)) % 2.50/2.76 (define @t5 () (forall @t4 @t3)) % 2.50/2.76 (define @t6 () (@list @t2)) % 2.50/2.76 (define @t7 () (exists @t6 @t5)) % 2.50/2.76 (define @t8 () (@var "Y" $$unsorted)) % 2.50/2.76 (define @t9 () (_ (_ tptp.cLIKES tptp.cLYLE) @t8)) % 2.50/2.76 (define @t10 () (@var "Z" $$unsorted)) % 2.50/2.76 (define @t11 () (_ (_ tptp.cLIKES @t8) @t10)) % 2.50/2.76 (define @t12 () (@list @t10)) % 2.50/2.76 (define @t13 () (exists @t12 @t11)) % 2.50/2.76 (define @t14 () (=> @t13 @t9)) % 2.50/2.76 (define @t15 () (@list @t8)) % 2.50/2.76 (define @t16 () (forall @t15 @t14)) % 2.50/2.76 (define @t17 () (@var "X" $$unsorted)) % 2.50/2.76 (define @t18 () (_ (_ tptp.cLIKES @t17) tptp.cBRUCE)) % 2.50/2.76 (define @t19 () (forall (@list @t17) @t18)) % 2.50/2.76 (define @t20 () (and @t19 @t16)) % 2.50/2.76 (define @t21 () (=> @t20 @t7)) % 2.50/2.76 (define @t22 () (not @t21)) % 2.50/2.76 (define @t23 () (tptp.cLIKES @t2 @t1)) % 2.50/2.76 (define @t24 () (forall @t4 @t23)) % 2.50/2.76 (define @t25 () (tptp.cLIKES tptp.cLYLE @t8)) % 2.50/2.76 (define @t26 () (@var "BOUND_VARIABLE_7454" $$unsorted)) % 2.50/2.76 (define @t27 () (not (tptp.cLIKES @t8 @t26))) % 2.50/2.76 (define @t28 () (or @t27 @t25)) % 2.50/2.76 (define @t29 () (forall (@list @t8 @t26) @t28)) % 2.50/2.76 (define @t30 () (@list @t26)) % 2.50/2.76 (define @t31 () (forall @t30 @t28)) % 2.50/2.76 (define @t32 () (forall @t30 @t27)) % 2.50/2.76 (define @t33 () (or @t32 @t25)) % 2.50/2.76 (define @t34 () (tptp.cLIKES @t8 @t10)) % 2.50/2.76 (define @t35 () (forall @t12 (not @t34))) % 2.50/2.76 (define @t36 () (or @t35 @t9)) % 2.50/2.76 (define @t37 () (not @t35)) % 2.50/2.76 (define @t38 () (not @t11)) % 2.50/2.76 (define @t39 () (forall @t12 @t38)) % 2.50/2.76 (define @t40 () (not @t39)) % 2.50/2.76 (define @t41 () (tptp.cLIKES @t17 tptp.cBRUCE)) % 2.50/2.76 (define @t42 () (@quantifiers_skolemize (forall @t4 (tptp.cLIKES tptp.cLYLE @t1)) 0)) % 2.50/2.76 (define @t43 () (tptp.cLIKES tptp.cLYLE @t42)) % 2.50/2.76 (define @t44 () (tptp.cLIKES @t42 tptp.cBRUCE)) % 2.50/2.76 (define @t45 () (not @t44)) % 2.50/2.76 (define @t46 () (or @t45 @t43)) % 2.50/2.76 (define @t47 () (not @t46)) % 2.50/2.76 (define @t48 () (@list true false)) % 2.50/2.76 (assume @p1 @t22) % 2.50/2.76 (assume @p2 true) % 2.50/2.76 (step @p3 :rule exists-elim :args ((= (exists @t6 @t24) (not (forall @t6 (not @t24)))))) % 2.50/2.76 (step @p4 :rule refl :args (@t23)) % 2.50/2.76 (step @p5 :rule refl :args (@t3)) % 2.50/2.76 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t23))) % 2.50/2.76 (step @p7 :rule symm :premises (@p6)) % 2.50/2.76 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 2.50/2.76 (step @p9 :rule cong :premises (@p8) :args (@t5)) % 2.50/2.76 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 2.50/2.76 (step @p11 :rule trans :premises (@p10 @p3)) % 2.50/2.76 (step @p12 :rule quant-merge-prenex :args ((= (forall @t15 @t31) @t29))) % 2.50/2.76 (step @p13 :rule refl :args (@t25)) % 2.50/2.76 (step @p14 :rule alpha_equiv :args (@t32 (@list @t26) (@list @t10))) % 2.50/2.76 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t33)) % 2.50/2.76 (step @p16 :rule quant-miniscope-or :args ((= @t31 @t33))) % 2.50/2.76 (step @p17 :rule trans :premises (@p16 @p15)) % 2.50/2.76 (step @p18 :rule symm :premises (@p17)) % 2.50/2.76 (step @p19 :rule cong :premises (@p18) :args ((forall @t15 (or @t35 @t25)))) % 2.50/2.76 (step @p20 :rule trans :premises (@p19 @p12)) % 2.50/2.76 (step @p21 :rule refl :args (@t25)) % 2.50/2.76 (step @p22 :rule refl :args (@t9)) % 2.50/2.76 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t9 @t25))) % 2.50/2.76 (step @p24 :rule symm :premises (@p23)) % 2.50/2.76 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 2.50/2.76 (step @p26 :rule refl :args (@t35)) % 2.50/2.76 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t36)) % 2.50/2.76 (step @p28 :rule cong :premises (@p27) :args ((forall @t15 @t36))) % 2.50/2.76 (step @p29 :rule trans :premises (@p28 @p20)) % 2.50/2.76 (step @p30 :rule bool-double-not-elim :args (@t35)) % 2.50/2.76 (step @p31 :rule nary_cong :premises (@p30 @p22) :args ((or (not @t37) @t9))) % 2.50/2.76 (step @p32 :rule bool-impl-elim :args (@t37 @t9)) % 2.50/2.76 (step @p33 :rule trans :premises (@p32 @p31)) % 2.50/2.76 (step @p34 :rule cong :premises (@p33) :args ((forall @t15 (=> @t37 @t9)))) % 2.50/2.76 (step @p35 :rule trans :premises (@p34 @p29)) % 2.50/2.76 (step @p36 :rule refl :args (@t9)) % 2.50/2.76 (step @p37 :rule refl :args (@t34)) % 2.50/2.76 (step @p38 :rule refl :args (@t11)) % 2.50/2.76 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t11 @t34))) % 2.50/2.76 (step @p40 :rule symm :premises (@p39)) % 2.50/2.76 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 2.50/2.76 (step @p42 :rule cong :premises (@p41) :args (@t38)) % 2.50/2.76 (step @p43 :rule cong :premises (@p42) :args (@t39)) % 2.50/2.76 (step @p44 :rule cong :premises (@p43) :args (@t40)) % 2.50/2.76 (step @p45 :rule exists-elim :args ((= @t13 @t40))) % 2.50/2.76 (step @p46 :rule trans :premises (@p45 @p44)) % 2.50/2.76 (step @p47 :rule cong :premises (@p46 @p36) :args (@t14)) % 2.50/2.76 (step @p48 :rule cong :premises (@p47) :args (@t16)) % 2.50/2.76 (step @p49 :rule trans :premises (@p48 @p35)) % 2.50/2.76 (step @p50 :rule refl :args (@t41)) % 2.50/2.76 (step @p51 :rule refl :args (@t18)) % 2.50/2.76 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t18 @t41))) % 2.50/2.76 (step @p53 :rule symm :premises (@p52)) % 2.50/2.76 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 2.50/2.76 (step @p55 :rule cong :premises (@p54) :args (@t19)) % 2.50/2.76 (step @p56 :rule nary_cong :premises (@p55 @p49) :args (@t20)) % 2.50/2.76 (step @p57 :rule cong :premises (@p56 @p11) :args (@t21)) % 2.50/2.76 (step @p58 :rule cong :premises (@p57) :args (@t22)) % 2.50/2.76 (step @p59 :rule eq_resolve :premises (@p1 @p58)) % 2.50/2.76 (step @p60 :rule not_implies_elim1 :premises (@p59)) % 2.50/2.76 (step @p61 :rule and_elim :premises (@p60) :args (1)) % 2.50/2.76 (step @p62 :rule and_elim :premises (@p60) :args (0)) % 2.50/2.76 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t42))) % 2.50/2.76 (step @p64 :rule not_implies_elim2 :premises (@p59)) % 2.50/2.76 (step @p65 :rule not_not_elim :premises (@p64)) % 2.50/2.76 (step @p66 :rule instantiate :premises (@p65) :args ((@list tptp.cLYLE))) % 2.50/2.76 (step @p67 :rule skolemize :premises (@p66)) % 2.50/2.76 (step @p68 :rule cnf_or_pos :args (@t46)) % 2.50/2.76 (step @p69 :rule reordering :premises (@p68) :args ((or @t43 @t45 @t47))) % 2.50/2.76 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p63) :args (@t47 @t48 (@list @t43 @t44))) % 2.50/2.76 (assume-push @p77 @t29) % 2.50/2.76 (step @p72 :rule instantiate :premises (@p61) :args ((@list @t42 tptp.cBRUCE))) % 2.50/2.76 (step-pop @p78 :rule scope :premises (@p72)) % 2.50/2.76 (step @p73 :rule process_scope :premises (@p78) :args (@t46)) % 2.50/2.76 (step @p75 :rule implies_elim :premises (@p73)) % 2.50/2.76 (step @p76 false :rule chain_m_resolution :premises (@p75 @p70 @p61) :args (false @t48 (@list @t46 @t29))) % 2.50/2.76 ) % 2.50/2.76 % SZS output end Proof % 2.50/2.76 % cvc5 exiting %------------------------------------------------------------------------------