%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ140^1 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:44:18 AM UTC 2026 % Result : Theorem 0.51s 0.73s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ140^1 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 13:20:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.51/0.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.73 % SZS status Theorem % 0.51/0.73 % SZS output start Proof % 0.51/0.73 ( % 0.51/0.73 (declare-sort tptp.beverage 0) % 0.51/0.73 (declare-sort tptp.syrup 0) % 0.51/0.73 (declare-const tptp.mix (-> tptp.beverage tptp.syrup tptp.beverage)) % 0.51/0.73 (declare-const tptp.heat (-> tptp.beverage tptp.beverage)) % 0.51/0.73 (declare-const tptp.coffee tptp.beverage) % 0.51/0.73 (declare-const tptp.hot (-> tptp.beverage Bool)) % 0.51/0.73 (define tptp.cold_mixture () (let ((_let_1 (@var "S" tptp.syrup))) (let ((_let_2 (@var "B" tptp.beverage))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mix _let_2) _let_1))))) % 0.51/0.73 (define tptp.hot_mixture () (let ((_let_1 (@var "S" tptp.syrup))) (let ((_let_2 (@var "B" tptp.beverage))) (lambda (@list _let_2 _let_1) (_ tptp.heat (_ (_ tptp.mix _let_2) _let_1)))))) % 0.51/0.73 (define @t1 () (@var "B" tptp.beverage)) % 0.51/0.73 (define @t2 () (_ tptp.heat @t1)) % 0.51/0.73 (define @t3 () (_ tptp.hot @t2)) % 0.51/0.73 (define @t4 () (@list @t1)) % 0.51/0.73 (define @t5 () (forall @t4 @t3)) % 0.51/0.73 (define @t6 () (_ tptp.hot @t1)) % 0.51/0.73 (define @t7 () (@var "S" tptp.syrup)) % 0.51/0.73 (define @t8 () (@var "Mixture" (-> tptp.beverage tptp.syrup tptp.beverage))) % 0.51/0.73 (define @t9 () (_ (_ @t8 tptp.coffee) @t7)) % 0.51/0.73 (define @t10 () (and (= @t9 @t1) @t6)) % 0.51/0.73 (define @t11 () (exists @t4 @t10)) % 0.51/0.73 (define @t12 () (@list @t7)) % 0.51/0.73 (define @t13 () (forall @t12 @t11)) % 0.51/0.73 (define @t14 () (@list @t8)) % 0.51/0.73 (define @t15 () (exists @t14 @t13)) % 0.51/0.73 (define @t16 () (not @t15)) % 0.51/0.73 (define @t17 () (_ (_ tptp.mix @t1) @t7)) % 0.51/0.73 (define @t18 () (@list @t1 @t7)) % 0.51/0.73 (define @t19 () (lambda @t18 @t17)) % 0.51/0.73 (define @t20 () (lambda @t18 (_ tptp.heat @t17))) % 0.51/0.73 (define @t21 () (tptp.heat @t1)) % 0.51/0.73 (define @t22 () (tptp.hot @t21)) % 0.51/0.73 (define @t23 () (_ @t8 tptp.coffee @t7)) % 0.51/0.73 (define @t24 () (tptp.hot @t23)) % 0.51/0.73 (define @t25 () (forall @t12 @t24)) % 0.51/0.73 (define @t26 () (forall @t14 (not @t25))) % 0.51/0.73 (define @t27 () (not @t24)) % 0.51/0.73 (define @t28 () (not (= @t23 @t23))) % 0.51/0.73 (define @t29 () (or @t28 @t27)) % 0.51/0.73 (define @t30 () (tptp.hot @t1)) % 0.51/0.73 (define @t31 () (not @t30)) % 0.51/0.73 (define @t32 () (not (= @t1 @t23))) % 0.51/0.73 (define @t33 () (or @t32 @t32 @t31)) % 0.51/0.73 (define @t34 () (or @t32 @t31)) % 0.51/0.73 (define @t35 () (not @t6)) % 0.51/0.73 (define @t36 () (= @t1 @t9)) % 0.51/0.73 (define @t37 () (not @t36)) % 0.51/0.73 (define @t38 () (or @t37 @t35)) % 0.51/0.73 (define @t39 () (and @t36 @t6)) % 0.51/0.73 (define @t40 () (forall @t4 (not @t39))) % 0.51/0.73 (define @t41 () (not @t40)) % 0.51/0.73 (define @t42 () (tptp.heat tptp.coffee)) % 0.51/0.73 (define @t43 () (tptp.hot @t42)) % 0.51/0.73 (define @t44 () (@var "BOUND_VARIABLE_42664" tptp.beverage)) % 0.51/0.73 (define @t45 () (lambda (@list @t44 (@var "BOUND_VARIABLE_42665" tptp.syrup)) (tptp.heat @t44))) % 0.51/0.73 (define @t46 () (_ @t45 tptp.coffee @t7)) % 0.51/0.73 (define @t47 () (tptp.hot @t46)) % 0.51/0.73 (define @t48 () (forall @t12 @t47)) % 0.51/0.73 (define @t49 () (not @t48)) % 0.51/0.73 (define @t50 () (forall @t4 @t22)) % 0.51/0.73 (assume @p1 @t5) % 0.51/0.73 (assume @p2 @t16) % 0.51/0.73 (assume @p3 true) % 0.51/0.73 (step @p4 (= tptp.cold_mixture @t19) :rule refl :args (@t19)) % 0.51/0.73 (step @p5 (= tptp.hot_mixture @t20) :rule refl :args (@t20)) % 0.51/0.73 (step @p6 :rule refl :args ((tptp.hot @t2))) % 0.51/0.73 (step @p7 :rule refl :args (@t21)) % 0.51/0.73 (step @p8 :rule cong :premises (@p7) :args (@t22)) % 0.51/0.73 (step @p9 :rule trans :premises (@p8 @p6)) % 0.51/0.73 (step @p10 :rule refl :args (tptp.hot)) % 0.51/0.73 (step @p11 :rule ho_cong :premises (@p10 @p7)) % 0.51/0.73 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ tptp.hot @t21) @t22))) % 0.51/0.73 (step @p13 :rule symm :premises (@p12)) % 0.51/0.73 (step @p14 :rule refl :args (@t3)) % 0.51/0.73 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.51/0.73 (step @p16 :rule refl :args (@t2)) % 0.51/0.73 (step @p17 :rule cong :premises (@p16 @p7) :args ((= @t2 @t21))) % 0.51/0.73 (step @p18 :rule symm :premises (@p17)) % 0.51/0.73 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.51/0.73 (step @p20 :rule ho_cong :premises (@p10 @p19)) % 0.51/0.73 (step @p21 :rule trans :premises (@p20 @p15)) % 0.51/0.73 (step @p22 :rule cong :premises (@p21) :args (@t5)) % 0.51/0.73 (step @p23 :rule eq_resolve :premises (@p1 @p22)) % 0.51/0.73 (step @p24 :rule bool-double-not-elim :args (@t26)) % 0.51/0.73 (step @p25 :rule exists-elim :args ((= (exists @t14 @t25) (not @t26)))) % 0.51/0.73 (step @p26 :rule bool-double-not-elim :args (@t24)) % 0.51/0.73 (step @p27 :rule aci_norm :args ((= (or false @t27) @t27))) % 0.51/0.73 (step @p28 :rule refl :args (@t27)) % 0.51/0.73 (step @p29 :rule evaluate :args ((not true))) % 0.51/0.73 (step @p30 :rule eq-refl :args (@t23)) % 0.51/0.73 (step @p31 :rule cong :premises (@p30) :args (@t28)) % 0.51/0.74 (step @p32 :rule trans :premises (@p31 @p29)) % 0.51/0.74 (step @p33 :rule nary_cong :premises (@p32 @p28) :args (@t29)) % 0.51/0.74 (step @p34 :rule trans :premises (@p33 @p27)) % 0.51/0.74 (step @p35 :rule quant-var-elim-eq :args ((= (forall @t4 @t33) @t29))) % 0.51/0.74 (step @p36 :rule aci_norm :args ((= @t34 @t33))) % 0.51/0.74 (step @p37 :rule cong :premises (@p36) :args ((forall @t4 @t34))) % 0.51/0.74 (step @p38 :rule trans :premises (@p37 @p35)) % 0.51/0.74 (step @p39 :rule trans :premises (@p38 @p34)) % 0.51/0.74 (step @p40 :rule refl :args (@t30)) % 0.51/0.74 (step @p41 :rule refl :args (@t6)) % 0.51/0.74 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t6 @t30))) % 0.51/0.74 (step @p43 :rule symm :premises (@p42)) % 0.51/0.74 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.51/0.74 (step @p45 :rule cong :premises (@p44) :args (@t35)) % 0.51/0.74 (step @p46 :rule refl :args (@t23)) % 0.51/0.74 (step @p47 :rule refl :args (@t9)) % 0.51/0.74 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t9 @t23))) % 0.51/0.74 (step @p49 :rule symm :premises (@p48)) % 0.51/0.74 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.51/0.74 (step @p51 :rule refl :args (@t1)) % 0.51/0.74 (step @p52 :rule cong :premises (@p51 @p50) :args (@t36)) % 0.51/0.74 (step @p53 :rule cong :premises (@p52) :args (@t37)) % 0.51/0.74 (step @p54 :rule nary_cong :premises (@p53 @p45) :args (@t38)) % 0.51/0.74 (step @p55 :rule cong :premises (@p54) :args ((forall @t4 @t38))) % 0.51/0.74 (step @p56 :rule trans :premises (@p55 @p39)) % 0.51/0.74 (step @p57 :rule bool-and-de-morgan :args (@t36 @t6 true)) % 0.51/0.74 (step @p58 :rule cong :premises (@p57) :args (@t40)) % 0.51/0.74 (step @p59 :rule trans :premises (@p58 @p56)) % 0.51/0.74 (step @p60 :rule cong :premises (@p59) :args (@t41)) % 0.51/0.74 (step @p61 :rule trans :premises (@p60 @p26)) % 0.51/0.74 (step @p62 :rule exists-elim :args ((= (exists @t4 @t39) @t41))) % 0.51/0.74 (step @p63 :rule trans :premises (@p62 @p61)) % 0.51/0.74 (step @p64 :rule refl :args (@t6)) % 0.51/0.74 (step @p65 :rule eq-symm :args (@t9 @t1)) % 0.51/0.74 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t10)) % 0.51/0.74 (step @p67 :rule cong :premises (@p66) :args (@t11)) % 0.51/0.74 (step @p68 :rule trans :premises (@p67 @p63)) % 0.51/0.74 (step @p69 :rule cong :premises (@p68) :args (@t13)) % 0.51/0.74 (step @p70 :rule cong :premises (@p69) :args (@t15)) % 0.51/0.74 (step @p71 :rule trans :premises (@p70 @p25)) % 0.51/0.74 (step @p72 :rule cong :premises (@p71) :args (@t16)) % 0.51/0.74 (step @p73 :rule trans :premises (@p72 @p24)) % 0.51/0.74 (step @p74 :rule eq_resolve :premises (@p2 @p73)) % 0.51/0.74 (step @p75 :rule quant-unused-vars :args ((= (forall @t12 @t43) @t43))) % 0.51/0.74 (step @p76 :rule beta-reduce :args ((= @t46 @t42))) % 0.51/0.74 (step @p77 :rule cong :premises (@p76) :args (@t47)) % 0.51/0.74 (step @p78 :rule cong :premises (@p77) :args (@t48)) % 0.51/0.74 (step @p79 :rule trans :premises (@p78 @p75)) % 0.51/0.74 (step @p80 :rule cong :premises (@p79) :args (@t49)) % 0.51/0.74 (step @p81 :rule refl :args (@t26)) % 0.51/0.74 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t26 @t49))) % 0.51/0.74 (assume-push @p96 @t26) % 0.51/0.74 (step @p84 :rule instantiate :premises (@p74) :args ((@list @t45))) % 0.51/0.74 (step-pop @p97 :rule scope :premises (@p84)) % 0.51/0.74 (step @p85 :rule process_scope :premises (@p97) :args (@t49)) % 0.51/0.74 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 0.51/0.74 (step @p88 :rule implies_elim :premises (@p87)) % 0.51/0.74 (step @p89 :rule chain_m_resolution :premises (@p88 @p74) :args ((not @t43) (@list false) (@list @t26))) % 0.51/0.74 (assume-push @p98 @t50) % 0.51/0.74 (step @p91 :rule instantiate :premises (@p23) :args ((@list tptp.coffee))) % 0.51/0.74 (step-pop @p99 :rule scope :premises (@p91)) % 0.51/0.74 (step @p92 :rule process_scope :premises (@p99) :args (@t43)) % 0.51/0.74 (step @p94 :rule implies_elim :premises (@p92)) % 0.51/0.74 (step @p95 false :rule chain_m_resolution :premises (@p94 @p89 @p23) :args (false (@list true false) (@list @t43 @t50))) % 0.51/0.74 ) % 0.51/0.74 % SZS output end Proof % 0.51/0.74 % cvc5 exiting %------------------------------------------------------------------------------