%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV017^5 : 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 : n001.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 08:55:19 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV017^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.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 18:08:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.27/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort tptp.a 0) % 0.27/0.55 (define @t1 () (@var "Xz" tptp.a)) % 0.27/0.55 (define @t2 () (@var "Xx" tptp.a)) % 0.27/0.55 (define @t3 () (@var "Xr" (-> tptp.a tptp.a Bool))) % 0.27/0.55 (define @t4 () (_ @t3 @t2)) % 0.27/0.55 (define @t5 () (_ @t4 @t1)) % 0.27/0.55 (define @t6 () (@var "Xy" tptp.a)) % 0.27/0.55 (define @t7 () (_ @t3 @t6)) % 0.27/0.55 (define @t8 () (_ @t7 @t1)) % 0.27/0.55 (define @t9 () (=> @t8 @t5)) % 0.27/0.55 (define @t10 () (_ @t4 @t6)) % 0.27/0.55 (define @t11 () (@list @t2 @t6 @t1)) % 0.27/0.55 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.27/0.55 (define @t13 () (and @t10 @t8)) % 0.27/0.55 (define @t14 () (forall @t11 (=> @t13 @t5))) % 0.27/0.55 (define @t15 () (_ @t7 @t2)) % 0.27/0.55 (define @t16 () (@list @t2 @t6)) % 0.27/0.55 (define @t17 () (forall @t16 (=> @t10 @t15))) % 0.27/0.55 (define @t18 () (_ @t4 @t2)) % 0.27/0.55 (define @t19 () (@list @t2)) % 0.27/0.55 (define @t20 () (forall @t19 @t18)) % 0.27/0.55 (define @t21 () (and @t20 @t17 @t14)) % 0.27/0.55 (define @t22 () (=> @t21 @t12)) % 0.27/0.55 (define @t23 () (@list @t3)) % 0.27/0.55 (define @t24 () (forall @t23 @t22)) % 0.27/0.55 (define @t25 () (not @t24)) % 0.27/0.55 (define @t26 () (_ @t3 @t6 @t2)) % 0.27/0.55 (define @t27 () (_ @t3 @t2 @t6)) % 0.27/0.55 (define @t28 () (not @t27)) % 0.27/0.55 (define @t29 () (forall @t16 (or @t28 @t26))) % 0.27/0.55 (define @t30 () (not @t29)) % 0.27/0.55 (define @t31 () (_ @t3 @t2 @t2)) % 0.27/0.55 (define @t32 () (forall @t19 @t31)) % 0.27/0.55 (define @t33 () (not @t32)) % 0.27/0.55 (define @t34 () (_ @t3 @t2 @t1)) % 0.27/0.55 (define @t35 () (_ @t3 @t6 @t1)) % 0.27/0.55 (define @t36 () (forall @t11 (or @t28 (not @t35) @t34))) % 0.27/0.55 (define @t37 () (not @t36)) % 0.27/0.55 (define @t38 () (or @t33 @t30 @t37)) % 0.27/0.55 (define @t39 () (and @t32 @t29 @t36)) % 0.27/0.55 (define @t40 () (not @t8)) % 0.27/0.55 (define @t41 () (not @t10)) % 0.27/0.55 (define @t42 () (or @t41 @t40 @t5)) % 0.27/0.55 (define @t43 () (or @t41 @t15)) % 0.27/0.55 (assume @p1 @t25) % 0.27/0.55 (assume @p2 true) % 0.27/0.55 (step @p3 :rule evaluate :args ((not true))) % 0.27/0.55 (step @p4 :rule quant-unused-vars :args ((= (forall @t23 true) true))) % 0.27/0.55 (step @p5 :rule bool-or-taut2 :args ((or @t33 @t30) @t36 false false)) % 0.27/0.55 (step @p6 :rule aci_norm :args ((= (or @t38 @t36) (or @t33 @t30 @t37 @t36)))) % 0.27/0.55 (step @p7 :rule trans :premises (@p6 @p5)) % 0.27/0.55 (step @p8 :rule refl :args (@t36)) % 0.27/0.55 (step @p9 :rule aci_norm :args ((= (or @t33 (or @t30 @t37)) @t38))) % 0.27/0.55 (step @p10 :rule bool-and-de-morgan :args (@t29 @t36 true)) % 0.27/0.55 (step @p11 :rule refl :args (@t33)) % 0.27/0.55 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t33 (not (and @t29 @t36))))) % 0.27/0.55 (step @p13 :rule bool-and-de-morgan :args (@t32 @t29 (and @t36))) % 0.27/0.55 (step @p14 :rule trans :premises (@p13 @p12)) % 0.27/0.55 (step @p15 :rule trans :premises (@p14 @p9)) % 0.27/0.55 (step @p16 :rule nary_cong :premises (@p15 @p8) :args ((or (not @t39) @t36))) % 0.27/0.55 (step @p17 :rule trans :premises (@p16 @p7)) % 0.27/0.55 (step @p18 :rule bool-impl-elim :args (@t39 @t36)) % 0.27/0.55 (step @p19 :rule trans :premises (@p18 @p17)) % 0.27/0.55 (step @p20 :rule cong :premises (@p19) :args ((forall @t23 (=> @t39 @t36)))) % 0.27/0.55 (step @p21 :rule trans :premises (@p20 @p4)) % 0.27/0.55 (step @p22 :rule refl :args (@t34)) % 0.27/0.55 (step @p23 :rule refl :args (@t5)) % 0.27/0.55 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t5 @t34))) % 0.27/0.55 (step @p25 :rule symm :premises (@p24)) % 0.27/0.55 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.27/0.55 (step @p27 :rule refl :args (@t35)) % 0.27/0.55 (step @p28 :rule refl :args (@t8)) % 0.27/0.55 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t8 @t35))) % 0.27/0.55 (step @p30 :rule symm :premises (@p29)) % 0.27/0.55 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.27/0.55 (step @p32 :rule cong :premises (@p31) :args (@t40)) % 0.27/0.55 (step @p33 :rule refl :args (@t27)) % 0.27/0.55 (step @p34 :rule refl :args (@t10)) % 0.27/0.55 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t10 @t27))) % 0.27/0.55 (step @p36 :rule symm :premises (@p35)) % 0.27/0.55 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.27/0.55 (step @p38 :rule cong :premises (@p37) :args (@t41)) % 0.27/0.55 (step @p39 :rule nary_cong :premises (@p38 @p32 @p26) :args (@t42)) % 0.27/0.55 (step @p40 :rule cong :premises (@p39) :args ((forall @t11 @t42))) % 0.27/0.55 (step @p41 :rule aci_norm :args ((= (or @t41 (or @t40 @t5)) @t42))) % 0.27/0.55 (step @p42 :rule bool-impl-elim :args (@t8 @t5)) % 0.27/0.55 (step @p43 :rule refl :args (@t41)) % 0.27/0.55 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t41 @t9))) % 0.27/0.55 (step @p45 :rule trans :premises (@p44 @p41)) % 0.27/0.55 (step @p46 :rule bool-impl-elim :args (@t10 @t9)) % 0.27/0.55 (step @p47 :rule trans :premises (@p46 @p45)) % 0.27/0.55 (step @p48 :rule cong :premises (@p47) :args (@t12)) % 0.27/0.55 (step @p49 :rule trans :premises (@p48 @p40)) % 0.27/0.55 (step @p50 :rule aci_norm :args ((= (or (or @t41 @t40) @t5) @t42))) % 0.27/0.55 (step @p51 :rule bool-and-de-morgan :args (@t10 @t8 true)) % 0.27/0.55 (step @p52 :rule nary_cong :premises (@p51 @p23) :args ((or (not @t13) @t5))) % 0.27/0.55 (step @p53 :rule trans :premises (@p52 @p50)) % 0.27/0.55 (step @p54 :rule bool-impl-elim :args (@t13 @t5)) % 0.27/0.55 (step @p55 :rule trans :premises (@p54 @p53)) % 0.27/0.55 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 0.27/0.55 (step @p57 :rule trans :premises (@p56 @p40)) % 0.27/0.55 (step @p58 :rule refl :args (@t26)) % 0.27/0.55 (step @p59 :rule refl :args (@t15)) % 0.27/0.55 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t15 @t26))) % 0.27/0.55 (step @p61 :rule symm :premises (@p60)) % 0.27/0.55 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.27/0.55 (step @p63 :rule nary_cong :premises (@p38 @p62) :args (@t43)) % 0.27/0.55 (step @p64 :rule cong :premises (@p63) :args ((forall @t16 @t43))) % 0.27/0.55 (step @p65 :rule bool-impl-elim :args (@t10 @t15)) % 0.27/0.55 (step @p66 :rule cong :premises (@p65) :args (@t17)) % 0.27/0.55 (step @p67 :rule trans :premises (@p66 @p64)) % 0.27/0.55 (step @p68 :rule refl :args (@t31)) % 0.27/0.55 (step @p69 :rule refl :args (@t18)) % 0.27/0.55 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t18 @t31))) % 0.27/0.55 (step @p71 :rule symm :premises (@p70)) % 0.27/0.55 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.27/0.55 (step @p73 :rule cong :premises (@p72) :args (@t20)) % 0.27/0.55 (step @p74 :rule nary_cong :premises (@p73 @p67 @p57) :args (@t21)) % 0.27/0.55 (step @p75 :rule cong :premises (@p74 @p49) :args (@t22)) % 0.27/0.55 (step @p76 :rule cong :premises (@p75) :args (@t24)) % 0.27/0.55 (step @p77 :rule trans :premises (@p76 @p21)) % 0.27/0.55 (step @p78 :rule cong :premises (@p77) :args (@t25)) % 0.27/0.55 (step @p79 :rule trans :premises (@p78 @p3)) % 0.27/0.55 (step @p80 false :rule eq_resolve :premises (@p1 @p79)) % 0.27/0.55 ) % 0.27/0.55 % SZS output end Proof % 0.27/0.55 % cvc5 exiting %------------------------------------------------------------------------------