%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU547^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:52:09 AM UTC 2026 % Result : Theorem 0.29s 0.54s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU547^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 17:41:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.29/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.54 % SZS status Theorem % 0.29/0.54 % SZS output start Proof % 0.29/0.54 ( % 0.29/0.54 (declare-sort $$unsorted 0) % 0.29/0.54 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.29/0.54 (define @t1 () (@var "B" $$unsorted)) % 0.29/0.54 (define @t2 () (@var "Xy" $$unsorted)) % 0.29/0.54 (define @t3 () (_ (_ tptp.in @t2) @t1)) % 0.29/0.54 (define @t4 () (@var "A" $$unsorted)) % 0.29/0.54 (define @t5 () (@var "Xx" $$unsorted)) % 0.29/0.54 (define @t6 () (_ (_ tptp.in @t5) @t4)) % 0.29/0.54 (define @t7 () (=> @t6 @t3)) % 0.29/0.54 (define @t8 () (= @t5 @t2)) % 0.29/0.54 (define @t9 () (@list @t5 @t2)) % 0.29/0.54 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.29/0.54 (define @t11 () (= @t4 @t1)) % 0.29/0.54 (define @t12 () (=> @t11 @t10)) % 0.29/0.54 (define @t13 () (@list @t4 @t1)) % 0.29/0.54 (define @t14 () (forall @t13 @t12)) % 0.29/0.54 (define @t15 () (not @t14)) % 0.29/0.54 (define @t16 () (@var "BOUND_VARIABLE_7452" $$unsorted)) % 0.29/0.54 (define @t17 () (@list @t1 @t16)) % 0.29/0.54 (define @t18 () (tptp.in @t16 @t1)) % 0.29/0.54 (define @t19 () (not @t18)) % 0.29/0.54 (define @t20 () (or @t19 @t18)) % 0.29/0.54 (define @t21 () (not (= @t1 @t1))) % 0.29/0.54 (define @t22 () (or @t21 @t19 @t18)) % 0.29/0.54 (define @t23 () (not (tptp.in @t16 @t4))) % 0.29/0.54 (define @t24 () (not @t11)) % 0.29/0.54 (define @t25 () (or @t24 @t24 @t23 @t18)) % 0.29/0.54 (define @t26 () (@list @t4)) % 0.29/0.54 (define @t27 () (or @t24 @t23 @t18)) % 0.29/0.54 (define @t28 () (forall @t26 @t27)) % 0.29/0.54 (define @t29 () (forall @t17 @t28)) % 0.29/0.54 (define @t30 () (forall (@list @t1 @t16 @t4) @t27)) % 0.29/0.54 (define @t31 () (@list @t4 @t1 @t16)) % 0.29/0.54 (define @t32 () (or @t23 @t18)) % 0.29/0.54 (define @t33 () (or @t24 @t32)) % 0.29/0.54 (define @t34 () (forall @t31 @t33)) % 0.29/0.54 (define @t35 () (@list @t16)) % 0.29/0.54 (define @t36 () (forall @t35 @t33)) % 0.29/0.54 (define @t37 () (forall @t35 @t32)) % 0.29/0.54 (define @t38 () (or @t24 @t37)) % 0.29/0.54 (define @t39 () (tptp.in @t2 @t1)) % 0.29/0.54 (define @t40 () (not (tptp.in @t2 @t4))) % 0.29/0.54 (define @t41 () (or @t40 @t39)) % 0.29/0.54 (define @t42 () (@list @t2)) % 0.29/0.54 (define @t43 () (forall @t42 @t41)) % 0.29/0.54 (define @t44 () (not (= @t2 @t2))) % 0.29/0.54 (define @t45 () (or @t44 @t40 @t39)) % 0.29/0.54 (define @t46 () (tptp.in @t5 @t4)) % 0.29/0.54 (define @t47 () (not @t46)) % 0.29/0.54 (define @t48 () (not @t8)) % 0.29/0.54 (define @t49 () (or @t48 @t48 @t47 @t39)) % 0.29/0.54 (define @t50 () (@list @t5)) % 0.29/0.54 (define @t51 () (or @t48 @t47 @t39)) % 0.29/0.54 (define @t52 () (forall @t50 @t51)) % 0.29/0.54 (define @t53 () (forall @t42 @t52)) % 0.29/0.54 (define @t54 () (forall (@list @t2 @t5) @t51)) % 0.29/0.54 (define @t55 () (not @t6)) % 0.29/0.54 (define @t56 () (or @t48 @t55 @t3)) % 0.29/0.54 (assume @p1 @t15) % 0.29/0.54 (assume @p2 true) % 0.29/0.54 (step @p3 :rule evaluate :args ((not true))) % 0.29/0.54 (step @p4 :rule quant-unused-vars :args ((= (forall @t17 true) true))) % 0.29/0.54 (step @p5 :rule bool-or-taut2 :args (false @t18 false false)) % 0.29/0.54 (step @p6 :rule cong :premises (@p5) :args ((forall @t17 @t20))) % 0.29/0.54 (step @p7 :rule trans :premises (@p6 @p4)) % 0.29/0.54 (step @p8 :rule aci_norm :args ((= (or false @t19 @t18) @t20))) % 0.29/0.54 (step @p9 :rule refl :args (@t18)) % 0.29/0.54 (step @p10 :rule refl :args (@t19)) % 0.29/0.54 (step @p11 :rule eq-refl :args (@t1)) % 0.29/0.54 (step @p12 :rule cong :premises (@p11) :args (@t21)) % 0.29/0.54 (step @p13 :rule trans :premises (@p12 @p3)) % 0.29/0.54 (step @p14 :rule nary_cong :premises (@p13 @p10 @p9) :args (@t22)) % 0.29/0.54 (step @p15 :rule trans :premises (@p14 @p8)) % 0.29/0.54 (step @p16 :rule cong :premises (@p15) :args ((forall @t17 @t22))) % 0.29/0.54 (step @p17 :rule trans :premises (@p16 @p7)) % 0.29/0.54 (step @p18 :rule quant-var-elim-eq :args ((= (forall @t26 @t25) @t22))) % 0.29/0.54 (step @p19 :rule aci_norm :args ((= @t27 @t25))) % 0.29/0.54 (step @p20 :rule cong :premises (@p19) :args (@t28)) % 0.29/0.54 (step @p21 :rule trans :premises (@p20 @p18)) % 0.29/0.54 (step @p22 :rule cong :premises (@p21) :args (@t29)) % 0.29/0.54 (step @p23 :rule quant-merge-prenex :args ((= @t29 @t30))) % 0.29/0.54 (step @p24 :rule symm :premises (@p23)) % 0.29/0.54 (step @p25 :rule quant_var_reordering :args ((= (forall @t31 @t27) @t30))) % 0.29/0.54 (step @p26 :rule trans :premises (@p25 @p24 @p22)) % 0.29/0.54 (step @p27 :rule trans :premises (@p26 @p17)) % 0.29/0.54 (step @p28 :rule aci_norm :args ((= @t33 @t27))) % 0.29/0.54 (step @p29 :rule cong :premises (@p28) :args (@t34)) % 0.29/0.54 (step @p30 :rule trans :premises (@p29 @p27)) % 0.29/0.54 (step @p31 :rule quant-merge-prenex :args ((= (forall @t13 @t36) @t34))) % 0.29/0.54 (step @p32 :rule alpha_equiv :args (@t37 (@list @t16) (@list @t2))) % 0.29/0.54 (step @p33 :rule refl :args (@t24)) % 0.29/0.54 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t38)) % 0.29/0.54 (step @p35 :rule quant-miniscope-or :args ((= @t36 @t38))) % 0.29/0.54 (step @p36 :rule trans :premises (@p35 @p34)) % 0.29/0.55 (step @p37 :rule symm :premises (@p36)) % 0.29/0.55 (step @p38 :rule cong :premises (@p37) :args ((forall @t13 (or @t24 @t43)))) % 0.29/0.55 (step @p39 :rule trans :premises (@p38 @p31)) % 0.29/0.55 (step @p40 :rule trans :premises (@p39 @p30)) % 0.29/0.55 (step @p41 :rule bool-impl-elim :args (@t11 @t43)) % 0.29/0.55 (step @p42 :rule cong :premises (@p41) :args ((forall @t13 (=> @t11 @t43)))) % 0.29/0.55 (step @p43 :rule trans :premises (@p42 @p40)) % 0.29/0.55 (step @p44 :rule aci_norm :args ((= (or false @t40 @t39) @t41))) % 0.29/0.55 (step @p45 :rule refl :args (@t39)) % 0.29/0.55 (step @p46 :rule refl :args (@t40)) % 0.29/0.55 (step @p47 :rule eq-refl :args (@t2)) % 0.29/0.55 (step @p48 :rule cong :premises (@p47) :args (@t44)) % 0.29/0.55 (step @p49 :rule trans :premises (@p48 @p3)) % 0.29/0.55 (step @p50 :rule nary_cong :premises (@p49 @p46 @p45) :args (@t45)) % 0.29/0.55 (step @p51 :rule trans :premises (@p50 @p44)) % 0.29/0.55 (step @p52 :rule cong :premises (@p51) :args ((forall @t42 @t45))) % 0.29/0.55 (step @p53 :rule quant-var-elim-eq :args ((= (forall @t50 @t49) @t45))) % 0.29/0.55 (step @p54 :rule aci_norm :args ((= @t51 @t49))) % 0.29/0.55 (step @p55 :rule cong :premises (@p54) :args (@t52)) % 0.29/0.55 (step @p56 :rule trans :premises (@p55 @p53)) % 0.29/0.55 (step @p57 :rule cong :premises (@p56) :args (@t53)) % 0.29/0.55 (step @p58 :rule quant-merge-prenex :args ((= @t53 @t54))) % 0.29/0.55 (step @p59 :rule symm :premises (@p58)) % 0.29/0.55 (step @p60 :rule quant_var_reordering :args ((= (forall @t9 @t51) @t54))) % 0.29/0.55 (step @p61 :rule trans :premises (@p60 @p59 @p57)) % 0.29/0.55 (step @p62 :rule trans :premises (@p61 @p52)) % 0.29/0.55 (step @p63 :rule refl :args (@t39)) % 0.29/0.55 (step @p64 :rule refl :args (@t3)) % 0.29/0.55 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t3 @t39))) % 0.29/0.55 (step @p66 :rule symm :premises (@p65)) % 0.29/0.55 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.29/0.55 (step @p68 :rule refl :args (@t46)) % 0.29/0.55 (step @p69 :rule refl :args (@t6)) % 0.29/0.55 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t6 @t46))) % 0.29/0.55 (step @p71 :rule symm :premises (@p70)) % 0.29/0.55 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.29/0.55 (step @p73 :rule cong :premises (@p72) :args (@t55)) % 0.29/0.55 (step @p74 :rule refl :args (@t48)) % 0.29/0.55 (step @p75 :rule nary_cong :premises (@p74 @p73 @p67) :args (@t56)) % 0.29/0.55 (step @p76 :rule cong :premises (@p75) :args ((forall @t9 @t56))) % 0.29/0.55 (step @p77 :rule trans :premises (@p76 @p62)) % 0.29/0.55 (step @p78 :rule aci_norm :args ((= (or @t48 (or @t55 @t3)) @t56))) % 0.29/0.55 (step @p79 :rule bool-impl-elim :args (@t6 @t3)) % 0.29/0.55 (step @p80 :rule nary_cong :premises (@p74 @p79) :args ((or @t48 @t7))) % 0.29/0.55 (step @p81 :rule trans :premises (@p80 @p78)) % 0.29/0.55 (step @p82 :rule bool-impl-elim :args (@t8 @t7)) % 0.29/0.55 (step @p83 :rule trans :premises (@p82 @p81)) % 0.29/0.55 (step @p84 :rule cong :premises (@p83) :args (@t10)) % 0.29/0.55 (step @p85 :rule trans :premises (@p84 @p77)) % 0.29/0.55 (step @p86 :rule refl :args (@t11)) % 0.29/0.55 (step @p87 :rule cong :premises (@p86 @p85) :args (@t12)) % 0.29/0.55 (step @p88 :rule cong :premises (@p87) :args (@t14)) % 0.29/0.55 (step @p89 :rule trans :premises (@p88 @p43)) % 0.29/0.55 (step @p90 :rule cong :premises (@p89) :args (@t15)) % 0.29/0.55 (step @p91 :rule trans :premises (@p90 @p3)) % 0.29/0.55 (step @p92 false :rule eq_resolve :premises (@p1 @p91)) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------