%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU884^5 : 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 : n010.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 08:53:28 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU884^5 : 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 : n010.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 17:56:55 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 (declare-const tptp.cR (-> tptp.a Bool)) % 0.31/0.55 (declare-const tptp.cS (-> tptp.a Bool)) % 0.31/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.31/0.55 (define @t2 () (_ tptp.cS @t1)) % 0.31/0.55 (define @t3 () (_ tptp.cR @t1)) % 0.31/0.55 (define @t4 () (@list @t1)) % 0.31/0.55 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.31/0.55 (define @t6 () (@var "Xt" tptp.a)) % 0.31/0.55 (define @t7 () (= @t1 @t6)) % 0.31/0.55 (define @t8 () (_ tptp.cS @t6)) % 0.31/0.55 (define @t9 () (and @t8 @t7)) % 0.31/0.55 (define @t10 () (@list @t6)) % 0.31/0.55 (define @t11 () (exists @t10 @t9)) % 0.31/0.55 (define @t12 () (_ tptp.cR @t6)) % 0.31/0.55 (define @t13 () (and @t12 @t7)) % 0.31/0.55 (define @t14 () (exists @t10 @t13)) % 0.31/0.55 (define @t15 () (=> @t14 @t11)) % 0.31/0.55 (define @t16 () (forall @t4 @t15)) % 0.31/0.55 (define @t17 () (=> @t16 @t5)) % 0.31/0.55 (define @t18 () (not @t17)) % 0.31/0.55 (define @t19 () (tptp.cS @t1)) % 0.31/0.55 (define @t20 () (tptp.cR @t1)) % 0.31/0.55 (define @t21 () (not @t3)) % 0.31/0.55 (define @t22 () (or @t21 @t2)) % 0.31/0.55 (define @t23 () (not @t19)) % 0.31/0.55 (define @t24 () (not (= @t1 @t1))) % 0.31/0.55 (define @t25 () (or @t23 @t24)) % 0.31/0.55 (define @t26 () (not @t7)) % 0.31/0.55 (define @t27 () (tptp.cS @t6)) % 0.31/0.55 (define @t28 () (not @t27)) % 0.31/0.55 (define @t29 () (not (= @t6 @t1))) % 0.31/0.55 (define @t30 () (or @t26 @t28 @t26)) % 0.31/0.55 (define @t31 () (or @t28 @t26)) % 0.31/0.55 (define @t32 () (not @t8)) % 0.31/0.55 (define @t33 () (or @t32 @t26)) % 0.31/0.55 (define @t34 () (forall @t10 (not @t9))) % 0.31/0.55 (define @t35 () (not @t34)) % 0.31/0.55 (define @t36 () (not @t20)) % 0.31/0.55 (define @t37 () (or @t36 @t24)) % 0.31/0.55 (define @t38 () (tptp.cR @t6)) % 0.31/0.55 (define @t39 () (not @t38)) % 0.31/0.55 (define @t40 () (or @t26 @t39 @t26)) % 0.31/0.55 (define @t41 () (or @t39 @t26)) % 0.31/0.55 (define @t42 () (not @t12)) % 0.31/0.55 (define @t43 () (or @t42 @t26)) % 0.31/0.55 (define @t44 () (forall @t10 (not @t13))) % 0.31/0.55 (define @t45 () (not @t44)) % 0.31/0.55 (assume @p1 @t18) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule refl :args (@t19)) % 0.31/0.55 (step @p4 :rule refl :args (@t2)) % 0.31/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t19))) % 0.31/0.55 (step @p6 :rule symm :premises (@p5)) % 0.31/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.31/0.55 (step @p8 :rule refl :args (@t20)) % 0.31/0.55 (step @p9 :rule refl :args (@t3)) % 0.31/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t3 @t20))) % 0.31/0.55 (step @p11 :rule symm :premises (@p10)) % 0.31/0.55 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.31/0.55 (step @p13 :rule cong :premises (@p12) :args (@t21)) % 0.31/0.55 (step @p14 :rule nary_cong :premises (@p13 @p7) :args (@t22)) % 0.31/0.55 (step @p15 :rule cong :premises (@p14) :args ((forall @t4 @t22))) % 0.31/0.55 (step @p16 :rule bool-impl-elim :args (@t3 @t2)) % 0.31/0.55 (step @p17 :rule cong :premises (@p16) :args (@t5)) % 0.31/0.55 (step @p18 :rule trans :premises (@p17 @p15)) % 0.31/0.55 (step @p19 :rule bool-impl-elim :args (@t20 @t19)) % 0.31/0.55 (step @p20 :rule cong :premises (@p19) :args ((forall @t4 (=> @t20 @t19)))) % 0.31/0.55 (step @p21 :rule bool-double-not-elim :args (@t19)) % 0.31/0.55 (step @p22 :rule aci_norm :args ((= (or @t23 false) @t23))) % 0.31/0.55 (step @p23 :rule evaluate :args ((not true))) % 0.31/0.55 (step @p24 :rule eq-refl :args (@t1)) % 0.31/0.55 (step @p25 :rule cong :premises (@p24) :args (@t24)) % 0.31/0.55 (step @p26 :rule trans :premises (@p25 @p23)) % 0.31/0.55 (step @p27 :rule refl :args (@t23)) % 0.31/0.55 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t25)) % 0.31/0.55 (step @p29 :rule trans :premises (@p28 @p22)) % 0.31/0.55 (step @p30 :rule quant-var-elim-eq :args ((= (forall @t10 (or @t29 @t28 @t26)) @t25))) % 0.31/0.55 (step @p31 :rule refl :args (@t26)) % 0.31/0.55 (step @p32 :rule refl :args (@t28)) % 0.31/0.55 (step @p33 :rule eq-symm :args (@t1 @t6)) % 0.31/0.55 (step @p34 :rule cong :premises (@p33) :args (@t26)) % 0.31/0.55 (step @p35 :rule nary_cong :premises (@p34 @p32 @p31) :args (@t30)) % 0.31/0.55 (step @p36 :rule aci_norm :args ((= @t31 @t30))) % 0.31/0.55 (step @p37 :rule trans :premises (@p36 @p35)) % 0.31/0.55 (step @p38 :rule cong :premises (@p37) :args ((forall @t10 @t31))) % 0.31/0.55 (step @p39 :rule trans :premises (@p38 @p30)) % 0.31/0.55 (step @p40 :rule trans :premises (@p39 @p29)) % 0.31/0.55 (step @p41 :rule refl :args (@t27)) % 0.31/0.55 (step @p42 :rule refl :args (@t8)) % 0.31/0.55 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t8 @t27))) % 0.31/0.55 (step @p44 :rule symm :premises (@p43)) % 0.31/0.55 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.31/0.55 (step @p46 :rule cong :premises (@p45) :args (@t32)) % 0.31/0.55 (step @p47 :rule nary_cong :premises (@p46 @p31) :args (@t33)) % 0.31/0.55 (step @p48 :rule cong :premises (@p47) :args ((forall @t10 @t33))) % 0.36/0.55 (step @p49 :rule trans :premises (@p48 @p40)) % 0.36/0.55 (step @p50 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.36/0.55 (step @p51 :rule cong :premises (@p50) :args (@t34)) % 0.36/0.55 (step @p52 :rule trans :premises (@p51 @p49)) % 0.36/0.55 (step @p53 :rule cong :premises (@p52) :args (@t35)) % 0.36/0.55 (step @p54 :rule trans :premises (@p53 @p21)) % 0.36/0.55 (step @p55 :rule exists-elim :args ((= @t11 @t35))) % 0.36/0.55 (step @p56 :rule trans :premises (@p55 @p54)) % 0.36/0.55 (step @p57 :rule bool-double-not-elim :args (@t20)) % 0.36/0.55 (step @p58 :rule aci_norm :args ((= (or @t36 false) @t36))) % 0.36/0.55 (step @p59 :rule refl :args (@t36)) % 0.36/0.55 (step @p60 :rule nary_cong :premises (@p59 @p26) :args (@t37)) % 0.36/0.55 (step @p61 :rule trans :premises (@p60 @p58)) % 0.36/0.55 (step @p62 :rule quant-var-elim-eq :args ((= (forall @t10 (or @t29 @t39 @t26)) @t37))) % 0.36/0.55 (step @p63 :rule refl :args (@t39)) % 0.36/0.55 (step @p64 :rule nary_cong :premises (@p34 @p63 @p31) :args (@t40)) % 0.36/0.55 (step @p65 :rule aci_norm :args ((= @t41 @t40))) % 0.36/0.55 (step @p66 :rule trans :premises (@p65 @p64)) % 0.36/0.55 (step @p67 :rule cong :premises (@p66) :args ((forall @t10 @t41))) % 0.36/0.55 (step @p68 :rule trans :premises (@p67 @p62)) % 0.36/0.55 (step @p69 :rule trans :premises (@p68 @p61)) % 0.36/0.55 (step @p70 :rule refl :args (@t38)) % 0.36/0.55 (step @p71 :rule refl :args (@t12)) % 0.36/0.55 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t12 @t38))) % 0.36/0.55 (step @p73 :rule symm :premises (@p72)) % 0.36/0.55 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.36/0.55 (step @p75 :rule cong :premises (@p74) :args (@t42)) % 0.36/0.55 (step @p76 :rule nary_cong :premises (@p75 @p31) :args (@t43)) % 0.36/0.55 (step @p77 :rule cong :premises (@p76) :args ((forall @t10 @t43))) % 0.36/0.55 (step @p78 :rule trans :premises (@p77 @p69)) % 0.36/0.55 (step @p79 :rule bool-and-de-morgan :args (@t12 @t7 true)) % 0.36/0.55 (step @p80 :rule cong :premises (@p79) :args (@t44)) % 0.36/0.55 (step @p81 :rule trans :premises (@p80 @p78)) % 0.36/0.55 (step @p82 :rule cong :premises (@p81) :args (@t45)) % 0.36/0.55 (step @p83 :rule trans :premises (@p82 @p57)) % 0.36/0.55 (step @p84 :rule exists-elim :args ((= @t14 @t45))) % 0.36/0.55 (step @p85 :rule trans :premises (@p84 @p83)) % 0.36/0.55 (step @p86 :rule cong :premises (@p85 @p56) :args (@t15)) % 0.36/0.55 (step @p87 :rule cong :premises (@p86) :args (@t16)) % 0.36/0.55 (step @p88 :rule trans :premises (@p87 @p20)) % 0.36/0.55 (step @p89 :rule cong :premises (@p88 @p18) :args (@t17)) % 0.36/0.55 (step @p90 :rule cong :premises (@p89) :args (@t18)) % 0.36/0.55 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 0.36/0.55 (step @p92 :rule not_implies_elim2 :premises (@p91)) % 0.36/0.55 (step @p93 :rule not_implies_elim1 :premises (@p91)) % 0.36/0.55 (step @p94 false :rule contra :premises (@p93 @p92)) % 0.36/0.55 ) % 0.36/0.55 % SZS output end Proof % 0.36/0.55 % cvc5 exiting %------------------------------------------------------------------------------