%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ100^5 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:44:12 AM UTC 2026 % Result : Theorem 0.27s 0.54s % Output : Proof 0.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ100^5 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n008.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 13:18:33 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.48 %----Proving TH0 % 0.27/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.27/0.54 % SZS status Theorem % 0.27/0.54 % SZS output start Proof % 0.27/0.54 ( % 0.27/0.54 (declare-sort $$unsorted 0) % 0.27/0.54 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.27/0.54 (define tptp.cCKB_E2 () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xp" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Xu" $$unsorted))) (let ((_let_4 (@var "Xx" $$unsorted))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (and (_ _let_2 _let_4) (forall (@list _let_3) (=> (_ _let_2 _let_3) (_ _let_2 (_ tptp.s (_ tptp.s _let_3)))))) (_ _let_2 _let_1))))))))) % 0.27/0.54 (define @t1 () (@var "Xx" $$unsorted)) % 0.27/0.54 (define @t2 () (@list @t1)) % 0.27/0.54 (define @t3 () (forall @t2 (_ (_ tptp.cCKB_E2 @t1) @t1))) % 0.27/0.54 (define @t4 () (not @t3)) % 0.27/0.54 (define @t5 () (@var "Xy" $$unsorted)) % 0.27/0.54 (define @t6 () (@var "Xp" (-> $$unsorted Bool))) % 0.27/0.54 (define @t7 () (_ @t6 @t5)) % 0.27/0.54 (define @t8 () (@var "Xu" $$unsorted)) % 0.27/0.54 (define @t9 () (_ tptp.s @t8)) % 0.27/0.54 (define @t10 () (_ tptp.s @t9)) % 0.27/0.54 (define @t11 () (_ @t6 @t10)) % 0.27/0.54 (define @t12 () (_ @t6 @t8)) % 0.27/0.54 (define @t13 () (@list @t8)) % 0.27/0.54 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.27/0.54 (define @t15 () (_ @t6 @t1)) % 0.27/0.54 (define @t16 () (and @t15 @t14)) % 0.27/0.54 (define @t17 () (=> @t16 @t7)) % 0.27/0.54 (define @t18 () (@list @t6)) % 0.27/0.54 (define @t19 () (forall @t18 @t17)) % 0.27/0.54 (define @t20 () (@list @t1 @t5)) % 0.27/0.54 (define @t21 () (lambda @t20 @t19)) % 0.27/0.54 (define @t22 () (_ @t6 @t1)) % 0.27/0.54 (define @t23 () (tptp.s @t8)) % 0.27/0.54 (define @t24 () (tptp.s @t23)) % 0.27/0.54 (define @t25 () (_ @t6 @t24)) % 0.27/0.54 (define @t26 () (_ @t6 @t8)) % 0.27/0.54 (define @t27 () (forall @t13 (or (not @t26) @t25))) % 0.27/0.54 (define @t28 () (not @t27)) % 0.27/0.54 (define @t29 () (not @t22)) % 0.27/0.54 (define @t30 () (forall @t18 (or @t29 @t28 @t22))) % 0.27/0.54 (define @t31 () (_ @t6 @t5)) % 0.27/0.54 (define @t32 () (forall @t18 (or @t29 @t28 @t31))) % 0.27/0.54 (define @t33 () (lambda (@list @t5) @t32)) % 0.27/0.54 (define @t34 () (_ (lambda @t20 @t32) @t1)) % 0.27/0.54 (define @t35 () (forall @t2 (_ @t34 @t1))) % 0.27/0.54 (define @t36 () (not @t15)) % 0.27/0.54 (define @t37 () (or @t36 @t28 @t7)) % 0.27/0.54 (define @t38 () (and @t15 @t27)) % 0.27/0.54 (define @t39 () (not @t12)) % 0.27/0.54 (define @t40 () (or @t39 @t11)) % 0.27/0.54 (assume @p1 @t4) % 0.27/0.54 (assume @p2 true) % 0.27/0.54 (step @p3 (= tptp.cCKB_E2 @t21) :rule refl :args (@t21)) % 0.27/0.54 (step @p4 :rule evaluate :args ((not true))) % 0.27/0.54 (step @p5 :rule quant-unused-vars :args ((= (forall @t2 true) true))) % 0.27/0.54 (step @p6 :rule quant-unused-vars :args ((= (forall @t18 true) true))) % 0.27/0.54 (step @p7 :rule bool-or-taut2 :args (false @t22 (or @t28) false)) % 0.27/0.54 (step @p8 :rule cong :premises (@p7) :args (@t30)) % 0.27/0.54 (step @p9 :rule trans :premises (@p8 @p6)) % 0.27/0.54 (step @p10 :rule beta-reduce :args ((= (_ @t33 @t1) @t30))) % 0.27/0.54 (step @p11 :rule trans :premises (@p10 @p9)) % 0.27/0.54 (step @p12 :rule refl :args (@t1)) % 0.27/0.54 (step @p13 :rule beta-reduce :args ((= @t34 @t33))) % 0.27/0.54 (step @p14 :rule ho_cong :premises (@p13 @p12)) % 0.27/0.54 (step @p15 :rule trans :premises (@p14 @p11)) % 0.27/0.54 (step @p16 :rule cong :premises (@p15) :args (@t35)) % 0.27/0.54 (step @p17 :rule trans :premises (@p16 @p5)) % 0.27/0.54 (step @p18 :rule cong :premises (@p17) :args ((not @t35))) % 0.27/0.54 (step @p19 :rule trans :premises (@p18 @p4)) % 0.27/0.54 (step @p20 :rule refl :args (@t31)) % 0.27/0.54 (step @p21 :rule refl :args (@t7)) % 0.27/0.54 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t7 @t31))) % 0.27/0.54 (step @p23 :rule symm :premises (@p22)) % 0.27/0.54 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.27/0.54 (step @p25 :rule refl :args (@t28)) % 0.27/0.54 (step @p26 :rule refl :args (@t22)) % 0.27/0.54 (step @p27 :rule refl :args (@t15)) % 0.27/0.54 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t15 @t22))) % 0.27/0.54 (step @p29 :rule symm :premises (@p28)) % 0.27/0.54 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.27/0.54 (step @p31 :rule cong :premises (@p30) :args (@t36)) % 0.27/0.54 (step @p32 :rule nary_cong :premises (@p31 @p25 @p24) :args (@t37)) % 0.27/0.54 (step @p33 :rule cong :premises (@p32) :args ((forall @t18 @t37))) % 0.27/0.54 (step @p34 :rule aci_norm :args ((= (or (or @t36 @t28) @t7) @t37))) % 0.27/0.54 (step @p35 :rule bool-and-de-morgan :args (@t15 @t27 true)) % 0.27/0.54 (step @p36 :rule nary_cong :premises (@p35 @p21) :args ((or (not @t38) @t7))) % 0.27/0.54 (step @p37 :rule trans :premises (@p36 @p34)) % 0.27/0.54 (step @p38 :rule bool-impl-elim :args (@t38 @t7)) % 0.27/0.54 (step @p39 :rule trans :premises (@p38 @p37)) % 0.27/0.54 (step @p40 :rule cong :premises (@p39) :args ((forall @t18 (=> @t38 @t7)))) % 0.27/0.54 (step @p41 :rule trans :premises (@p40 @p33)) % 0.27/0.54 (step @p42 :rule refl :args (@t7)) % 0.27/0.54 (step @p43 :rule refl :args ((_ @t6 @t10))) % 0.27/0.54 (step @p44 :rule refl :args ((tptp.s @t9))) % 0.27/0.54 (step @p45 :rule refl :args (@t23)) % 0.27/0.54 (step @p46 :rule cong :premises (@p45) :args (@t24)) % 0.27/0.54 (step @p47 :rule trans :premises (@p46 @p44)) % 0.27/0.54 (step @p48 :rule cong :premises (@p47) :args (@t25)) % 0.27/0.54 (step @p49 :rule trans :premises (@p48 @p43)) % 0.27/0.54 (step @p50 :rule refl :args (@t6)) % 0.27/0.54 (step @p51 :rule ho_cong :premises (@p50 @p47)) % 0.27/0.54 (step @p52 :rule cong :premises (@p51 @p49) :args ((= (_ @t6 @t24) @t25))) % 0.27/0.54 (step @p53 :rule symm :premises (@p52)) % 0.27/0.54 (step @p54 :rule refl :args (@t11)) % 0.27/0.54 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.27/0.54 (step @p56 :rule refl :args (tptp.s)) % 0.27/0.54 (step @p57 :rule ho_cong :premises (@p56 @p45)) % 0.27/0.54 (step @p58 :rule cong :premises (@p57 @p47) :args ((= (_ tptp.s @t23) @t24))) % 0.27/0.54 (step @p59 :rule symm :premises (@p58)) % 0.27/0.54 (step @p60 :rule refl :args (@t10)) % 0.27/0.54 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.27/0.54 (step @p62 :rule refl :args (@t9)) % 0.27/0.54 (step @p63 :rule cong :premises (@p62 @p45) :args ((= @t9 @t23))) % 0.27/0.54 (step @p64 :rule symm :premises (@p63)) % 0.27/0.54 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.27/0.54 (step @p66 :rule ho_cong :premises (@p56 @p65)) % 0.27/0.54 (step @p67 :rule trans :premises (@p66 @p61)) % 0.27/0.54 (step @p68 :rule ho_cong :premises (@p50 @p67)) % 0.27/0.54 (step @p69 :rule trans :premises (@p68 @p55)) % 0.27/0.54 (step @p70 :rule refl :args (@t26)) % 0.27/0.54 (step @p71 :rule refl :args (@t12)) % 0.27/0.54 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t12 @t26))) % 0.27/0.54 (step @p73 :rule symm :premises (@p72)) % 0.27/0.54 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.27/0.54 (step @p75 :rule cong :premises (@p74) :args (@t39)) % 0.27/0.54 (step @p76 :rule nary_cong :premises (@p75 @p69) :args (@t40)) % 0.27/0.54 (step @p77 :rule cong :premises (@p76) :args ((forall @t13 @t40))) % 0.27/0.54 (step @p78 :rule bool-impl-elim :args (@t12 @t11)) % 0.27/0.54 (step @p79 :rule cong :premises (@p78) :args (@t14)) % 0.27/0.54 (step @p80 :rule trans :premises (@p79 @p77)) % 0.27/0.54 (step @p81 :rule refl :args (@t15)) % 0.27/0.54 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t16)) % 0.27/0.54 (step @p83 :rule cong :premises (@p82 @p42) :args (@t17)) % 0.27/0.54 (step @p84 :rule cong :premises (@p83) :args (@t19)) % 0.27/0.54 (step @p85 :rule trans :premises (@p84 @p41)) % 0.27/0.54 (step @p86 :rule cong :premises (@p85) :args (@t21)) % 0.27/0.54 (step @p87 :rule trans :premises (@p3 @p86)) % 0.27/0.54 (step @p88 :rule ho_cong :premises (@p87 @p12)) % 0.27/0.54 (step @p89 :rule ho_cong :premises (@p88 @p12)) % 0.27/0.54 (step @p90 :rule cong :premises (@p89) :args (@t3)) % 0.27/0.54 (step @p91 :rule cong :premises (@p90) :args (@t4)) % 0.27/0.54 (step @p92 :rule trans :premises (@p91 @p19)) % 0.27/0.54 (step @p93 false :rule eq_resolve :premises (@p1 @p92)) % 0.27/0.54 ) % 0.27/0.54 % SZS output end Proof % 0.27/0.54 % cvc5 exiting %------------------------------------------------------------------------------