%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU858^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:53:26 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU858^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.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 : Tue Jun 2 17:55:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort tptp.a 0) % 0.31/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.31/0.55 (define @t2 () (lambda (@list @t1) false)) % 0.31/0.55 (define @t3 () (@var "Xw" (-> (-> tptp.a Bool) Bool))) % 0.31/0.55 (define @t4 () (_ @t3 @t2)) % 0.31/0.55 (define @t5 () (@var "Xt" tptp.a)) % 0.31/0.55 (define @t6 () (@var "Xr" (-> tptp.a Bool))) % 0.31/0.55 (define @t7 () (_ @t6 @t5)) % 0.31/0.55 (define @t8 () (or @t7 (= @t5 @t1))) % 0.31/0.55 (define @t9 () (@list @t5)) % 0.31/0.55 (define @t10 () (lambda @t9 @t8)) % 0.31/0.55 (define @t11 () (_ @t3 @t6)) % 0.31/0.55 (define @t12 () (=> @t11 (_ @t3 @t10))) % 0.31/0.55 (define @t13 () (@list @t6 @t1)) % 0.31/0.55 (define @t14 () (forall @t13 @t12)) % 0.31/0.55 (define @t15 () (and @t4 @t14)) % 0.31/0.55 (define @t16 () (=> @t15 @t4)) % 0.31/0.55 (define @t17 () (@list @t3)) % 0.31/0.55 (define @t18 () (forall @t17 @t16)) % 0.31/0.55 (define @t19 () (not @t18)) % 0.31/0.55 (define @t20 () (@var "BOUND_VARIABLE_7639" tptp.a)) % 0.31/0.55 (define @t21 () (lambda (@list @t20) false)) % 0.31/0.55 (define @t22 () (_ @t3 @t21)) % 0.31/0.55 (define @t23 () (= @t1 @t5)) % 0.31/0.55 (define @t24 () (_ @t6 @t5)) % 0.31/0.55 (define @t25 () (or @t24 @t23)) % 0.31/0.55 (define @t26 () (lambda @t9 @t25)) % 0.31/0.55 (define @t27 () (_ @t3 @t26)) % 0.31/0.55 (define @t28 () (_ @t3 @t6)) % 0.31/0.55 (define @t29 () (forall @t13 (or (not @t28) @t27))) % 0.31/0.55 (define @t30 () (not @t29)) % 0.31/0.55 (define @t31 () (not @t22)) % 0.31/0.55 (define @t32 () (and @t22 @t29)) % 0.31/0.55 (define @t33 () (or @t7 @t23)) % 0.31/0.55 (define @t34 () (lambda @t9 @t33)) % 0.31/0.55 (define @t35 () (_ @t3 @t34)) % 0.31/0.55 (define @t36 () (not @t11)) % 0.31/0.55 (define @t37 () (or @t36 @t35)) % 0.31/0.55 (assume @p1 @t19) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule evaluate :args ((not true))) % 0.31/0.55 (step @p4 :rule quant-unused-vars :args ((= (forall @t17 true) true))) % 0.31/0.55 (step @p5 :rule bool-or-taut2 :args (false @t22 (or @t30) false)) % 0.31/0.55 (step @p6 :rule aci_norm :args ((= (or (or @t31 @t30) @t22) (or @t31 @t30 @t22)))) % 0.31/0.55 (step @p7 :rule trans :premises (@p6 @p5)) % 0.31/0.55 (step @p8 :rule refl :args (@t22)) % 0.31/0.55 (step @p9 :rule bool-and-de-morgan :args (@t22 @t29 true)) % 0.31/0.55 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or (not @t32) @t22))) % 0.31/0.55 (step @p11 :rule trans :premises (@p10 @p7)) % 0.31/0.55 (step @p12 :rule bool-impl-elim :args (@t32 @t22)) % 0.31/0.55 (step @p13 :rule trans :premises (@p12 @p11)) % 0.31/0.55 (step @p14 :rule cong :premises (@p13) :args ((forall @t17 (=> @t32 @t22)))) % 0.31/0.55 (step @p15 :rule trans :premises (@p14 @p4)) % 0.31/0.55 (step @p16 :rule refl :args (@t21)) % 0.31/0.55 (step @p17 :rule symm :premises (@p16)) % 0.31/0.55 (step @p18 :rule alpha_equiv :args (@t2 (@list @t1) (@list @t20))) % 0.31/0.55 (step @p19 :rule trans :premises (@p18 @p17)) % 0.31/0.55 (step @p20 :rule refl :args (@t3)) % 0.31/0.55 (step @p21 :rule ho_cong :premises (@p20 @p19)) % 0.31/0.55 (step @p22 :rule refl :args ((_ @t3 @t34))) % 0.31/0.55 (step @p23 :rule refl :args (@t23)) % 0.31/0.55 (step @p24 :rule refl :args (@t24)) % 0.31/0.55 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t25)) % 0.31/0.55 (step @p26 :rule cong :premises (@p25) :args (@t26)) % 0.31/0.55 (step @p27 :rule cong :premises (@p26) :args (@t27)) % 0.31/0.55 (step @p28 :rule trans :premises (@p27 @p22)) % 0.31/0.55 (step @p29 :rule refl :args (@t3)) % 0.31/0.55 (step @p30 :rule ho_cong :premises (@p29 @p26)) % 0.31/0.55 (step @p31 :rule cong :premises (@p30 @p28) :args ((= (_ @t3 @t26) @t27))) % 0.31/0.55 (step @p32 :rule symm :premises (@p31)) % 0.31/0.55 (step @p33 :rule refl :args (@t35)) % 0.31/0.55 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 0.31/0.55 (step @p35 :rule refl :args (@t7)) % 0.31/0.55 (step @p36 :rule cong :premises (@p35 @p24) :args ((= @t7 @t24))) % 0.31/0.55 (step @p37 :rule symm :premises (@p36)) % 0.31/0.55 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.31/0.55 (step @p39 :rule nary_cong :premises (@p38 @p23) :args (@t33)) % 0.31/0.55 (step @p40 :rule cong :premises (@p39) :args (@t34)) % 0.31/0.55 (step @p41 :rule ho_cong :premises (@p29 @p40)) % 0.31/0.55 (step @p42 :rule trans :premises (@p41 @p34)) % 0.31/0.55 (step @p43 :rule refl :args (@t28)) % 0.31/0.55 (step @p44 :rule refl :args (@t11)) % 0.31/0.55 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t11 @t28))) % 0.31/0.55 (step @p46 :rule symm :premises (@p45)) % 0.31/0.55 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.31/0.55 (step @p48 :rule cong :premises (@p47) :args (@t36)) % 0.31/0.55 (step @p49 :rule nary_cong :premises (@p48 @p42) :args (@t37)) % 0.31/0.55 (step @p50 :rule cong :premises (@p49) :args ((forall @t13 @t37))) % 0.31/0.55 (step @p51 :rule bool-impl-elim :args (@t11 @t35)) % 0.31/0.55 (step @p52 :rule cong :premises (@p51) :args ((forall @t13 (=> @t11 @t35)))) % 0.31/0.55 (step @p53 :rule trans :premises (@p52 @p50)) % 0.31/0.55 (step @p54 :rule eq-symm :args (@t5 @t1)) % 0.31/0.55 (step @p55 :rule refl :args (@t7)) % 0.31/0.55 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t8)) % 0.31/0.55 (step @p57 :rule cong :premises (@p56) :args (@t10)) % 0.31/0.55 (step @p58 :rule ho_cong :premises (@p20 @p57)) % 0.31/0.55 (step @p59 :rule refl :args (@t11)) % 0.31/0.55 (step @p60 :rule cong :premises (@p59 @p58) :args (@t12)) % 0.31/0.55 (step @p61 :rule cong :premises (@p60) :args (@t14)) % 0.31/0.55 (step @p62 :rule trans :premises (@p61 @p53)) % 0.31/0.55 (step @p63 :rule nary_cong :premises (@p21 @p62) :args (@t15)) % 0.31/0.55 (step @p64 :rule cong :premises (@p63 @p21) :args (@t16)) % 0.31/0.55 (step @p65 :rule cong :premises (@p64) :args (@t18)) % 0.31/0.55 (step @p66 :rule trans :premises (@p65 @p15)) % 0.31/0.55 (step @p67 :rule cong :premises (@p66) :args (@t19)) % 0.31/0.55 (step @p68 :rule trans :premises (@p67 @p3)) % 0.31/0.55 (step @p69 false :rule eq_resolve :premises (@p1 @p68)) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------