%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU548^2 : TPTP v9.2.1. Bugfixed 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 : n024.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 0.15s 0.35s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU548^2 : TPTP v9.2.1. Bugfixed v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 12:41:15 EDT 2026 % 0.08/0.25 % CPUTime : % 0.08/0.32 %----Proving TH0 % 0.15/0.35 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.35 % SZS status Theorem % 0.15/0.35 % SZS output start Proof % 0.15/0.35 ( % 0.15/0.35 (declare-sort $$unsorted 0) % 0.15/0.35 (declare-const tptp.inCongP Bool) % 0.15/0.35 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.15/0.35 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.35 (define @t2 () (@var "Xy" $$unsorted)) % 0.15/0.35 (define @t3 () (_ (_ tptp.in @t2) @t1)) % 0.15/0.35 (define @t4 () (@var "A" $$unsorted)) % 0.15/0.35 (define @t5 () (@var "Xx" $$unsorted)) % 0.15/0.35 (define @t6 () (_ (_ tptp.in @t5) @t4)) % 0.15/0.35 (define @t7 () (= @t5 @t2)) % 0.15/0.35 (define @t8 () (@list @t5 @t2)) % 0.15/0.35 (define @t9 () (= @t4 @t1)) % 0.15/0.35 (define @t10 () (@list @t4 @t1)) % 0.15/0.35 (define @t11 () (= @t6 @t3)) % 0.15/0.35 (define @t12 () (forall @t8 (=> @t7 @t11))) % 0.15/0.35 (define @t13 () (=> @t9 @t12)) % 0.15/0.35 (define @t14 () (forall @t10 @t13)) % 0.15/0.35 (define @t15 () (=> tptp.inCongP @t14)) % 0.15/0.35 (define @t16 () (not @t15)) % 0.15/0.35 (define @t17 () (@var "BOUND_VARIABLE_7498" $$unsorted)) % 0.15/0.35 (define @t18 () (@list @t1 @t17)) % 0.15/0.35 (define @t19 () (tptp.in @t17 @t1)) % 0.15/0.35 (define @t20 () (not (= @t1 @t1))) % 0.15/0.35 (define @t21 () (or @t20 (= @t19 @t19))) % 0.15/0.35 (define @t22 () (= @t19 (tptp.in @t17 @t4))) % 0.15/0.35 (define @t23 () (not @t9)) % 0.15/0.35 (define @t24 () (or @t23 @t23 @t22)) % 0.15/0.35 (define @t25 () (@list @t4)) % 0.15/0.35 (define @t26 () (or @t23 @t22)) % 0.15/0.35 (define @t27 () (forall @t25 @t26)) % 0.15/0.35 (define @t28 () (forall @t18 @t27)) % 0.15/0.35 (define @t29 () (forall (@list @t1 @t17 @t4) @t26)) % 0.15/0.35 (define @t30 () (forall (@list @t4 @t1 @t17) @t26)) % 0.15/0.35 (define @t31 () (@list @t17)) % 0.15/0.35 (define @t32 () (forall @t31 @t26)) % 0.15/0.35 (define @t33 () (forall @t31 @t22)) % 0.15/0.35 (define @t34 () (or @t23 @t33)) % 0.15/0.35 (define @t35 () (tptp.in @t2 @t4)) % 0.15/0.35 (define @t36 () (tptp.in @t2 @t1)) % 0.15/0.35 (define @t37 () (= @t36 @t35)) % 0.15/0.35 (define @t38 () (@list @t2)) % 0.15/0.35 (define @t39 () (forall @t38 @t37)) % 0.15/0.35 (define @t40 () (not (= @t2 @t2))) % 0.15/0.35 (define @t41 () (or @t40 (= @t35 @t36))) % 0.15/0.35 (define @t42 () (tptp.in @t5 @t4)) % 0.15/0.35 (define @t43 () (= @t42 @t36)) % 0.15/0.35 (define @t44 () (not @t7)) % 0.15/0.35 (define @t45 () (or @t44 @t44 @t43)) % 0.15/0.35 (define @t46 () (@list @t5)) % 0.15/0.35 (define @t47 () (or @t44 @t43)) % 0.15/0.35 (define @t48 () (forall @t46 @t47)) % 0.15/0.35 (define @t49 () (forall @t38 @t48)) % 0.15/0.35 (define @t50 () (forall (@list @t2 @t5) @t47)) % 0.15/0.35 (define @t51 () (or @t44 @t11)) % 0.15/0.35 (assume @p1 (= tptp.inCongP (forall @t10 (=> @t9 (forall @t8 (=> @t7 (=> @t6 @t3))))))) % 0.15/0.35 (assume @p2 @t16) % 0.15/0.35 (assume @p3 true) % 0.15/0.35 (step @p4 :rule evaluate :args ((not true))) % 0.15/0.35 (step @p5 :rule bool-impl-true1 :args (tptp.inCongP)) % 0.15/0.35 (step @p6 :rule quant-unused-vars :args ((= (forall @t18 true) true))) % 0.15/0.35 (step @p7 :rule evaluate :args ((or false true))) % 0.15/0.35 (step @p8 :rule eq-refl :args (@t19)) % 0.15/0.35 (step @p9 :rule eq-refl :args (@t1)) % 0.15/0.35 (step @p10 :rule cong :premises (@p9) :args (@t20)) % 0.15/0.35 (step @p11 :rule trans :premises (@p10 @p4)) % 0.15/0.35 (step @p12 :rule nary_cong :premises (@p11 @p8) :args (@t21)) % 0.15/0.35 (step @p13 :rule trans :premises (@p12 @p7)) % 0.15/0.35 (step @p14 :rule cong :premises (@p13) :args ((forall @t18 @t21))) % 0.15/0.35 (step @p15 :rule trans :premises (@p14 @p6)) % 0.15/0.35 (step @p16 :rule quant-var-elim-eq :args ((= (forall @t25 @t24) @t21))) % 0.15/0.35 (step @p17 :rule aci_norm :args ((= @t26 @t24))) % 0.15/0.35 (step @p18 :rule cong :premises (@p17) :args (@t27)) % 0.15/0.35 (step @p19 :rule trans :premises (@p18 @p16)) % 0.15/0.35 (step @p20 :rule cong :premises (@p19) :args (@t28)) % 0.15/0.35 (step @p21 :rule quant-merge-prenex :args ((= @t28 @t29))) % 0.15/0.35 (step @p22 :rule symm :premises (@p21)) % 0.15/0.35 (step @p23 :rule quant_var_reordering :args ((= @t30 @t29))) % 0.15/0.35 (step @p24 :rule trans :premises (@p23 @p22 @p20)) % 0.15/0.35 (step @p25 :rule trans :premises (@p24 @p15)) % 0.15/0.35 (step @p26 :rule quant-merge-prenex :args ((= (forall @t10 @t32) @t30))) % 0.15/0.35 (step @p27 :rule alpha_equiv :args (@t33 (@list @t17) (@list @t2))) % 0.15/0.35 (step @p28 :rule refl :args (@t23)) % 0.15/0.35 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t34)) % 0.15/0.35 (step @p30 :rule quant-miniscope-or :args ((= @t32 @t34))) % 0.15/0.35 (step @p31 :rule trans :premises (@p30 @p29)) % 0.15/0.35 (step @p32 :rule symm :premises (@p31)) % 0.15/0.35 (step @p33 :rule cong :premises (@p32) :args ((forall @t10 (or @t23 @t39)))) % 0.15/0.35 (step @p34 :rule trans :premises (@p33 @p26)) % 0.15/0.35 (step @p35 :rule trans :premises (@p34 @p25)) % 0.15/0.35 (step @p36 :rule bool-impl-elim :args (@t9 @t39)) % 0.15/0.35 (step @p37 :rule cong :premises (@p36) :args ((forall @t10 (=> @t9 @t39)))) % 0.15/0.35 (step @p38 :rule trans :premises (@p37 @p35)) % 0.15/0.35 (step @p39 :rule aci_norm :args ((= (or false @t37) @t37))) % 0.15/0.35 (step @p40 :rule eq-symm :args (@t35 @t36)) % 0.15/0.35 (step @p41 :rule eq-refl :args (@t2)) % 0.15/0.35 (step @p42 :rule cong :premises (@p41) :args (@t40)) % 0.15/0.35 (step @p43 :rule trans :premises (@p42 @p4)) % 0.15/0.35 (step @p44 :rule nary_cong :premises (@p43 @p40) :args (@t41)) % 0.15/0.35 (step @p45 :rule trans :premises (@p44 @p39)) % 0.15/0.35 (step @p46 :rule cong :premises (@p45) :args ((forall @t38 @t41))) % 0.15/0.35 (step @p47 :rule quant-var-elim-eq :args ((= (forall @t46 @t45) @t41))) % 0.15/0.35 (step @p48 :rule aci_norm :args ((= @t47 @t45))) % 0.15/0.35 (step @p49 :rule cong :premises (@p48) :args (@t48)) % 0.15/0.35 (step @p50 :rule trans :premises (@p49 @p47)) % 0.15/0.35 (step @p51 :rule cong :premises (@p50) :args (@t49)) % 0.15/0.35 (step @p52 :rule quant-merge-prenex :args ((= @t49 @t50))) % 0.15/0.35 (step @p53 :rule symm :premises (@p52)) % 0.15/0.35 (step @p54 :rule quant_var_reordering :args ((= (forall @t8 @t47) @t50))) % 0.15/0.35 (step @p55 :rule trans :premises (@p54 @p53 @p51)) % 0.15/0.35 (step @p56 :rule trans :premises (@p55 @p46)) % 0.15/0.35 (step @p57 :rule refl :args (@t36)) % 0.15/0.35 (step @p58 :rule refl :args (@t3)) % 0.15/0.35 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t3 @t36))) % 0.15/0.35 (step @p60 :rule symm :premises (@p59)) % 0.15/0.35 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.15/0.35 (step @p62 :rule refl :args (@t42)) % 0.15/0.35 (step @p63 :rule refl :args (@t6)) % 0.15/0.35 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t6 @t42))) % 0.15/0.35 (step @p65 :rule symm :premises (@p64)) % 0.15/0.35 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.15/0.35 (step @p67 :rule cong :premises (@p66 @p61) :args (@t11)) % 0.15/0.35 (step @p68 :rule refl :args (@t44)) % 0.15/0.35 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t51)) % 0.15/0.35 (step @p70 :rule cong :premises (@p69) :args ((forall @t8 @t51))) % 0.15/0.35 (step @p71 :rule trans :premises (@p70 @p56)) % 0.15/0.35 (step @p72 :rule bool-impl-elim :args (@t7 @t11)) % 0.15/0.35 (step @p73 :rule cong :premises (@p72) :args (@t12)) % 0.15/0.35 (step @p74 :rule trans :premises (@p73 @p71)) % 0.15/0.35 (step @p75 :rule refl :args (@t9)) % 0.15/0.35 (step @p76 :rule cong :premises (@p75 @p74) :args (@t13)) % 0.15/0.35 (step @p77 :rule cong :premises (@p76) :args (@t14)) % 0.15/0.35 (step @p78 :rule trans :premises (@p77 @p38)) % 0.15/0.35 (step @p79 :rule refl :args (tptp.inCongP)) % 0.15/0.35 (step @p80 :rule cong :premises (@p79 @p78) :args (@t15)) % 0.15/0.35 (step @p81 :rule trans :premises (@p80 @p5)) % 0.15/0.35 (step @p82 :rule cong :premises (@p81) :args (@t16)) % 0.15/0.35 (step @p83 :rule trans :premises (@p82 @p4)) % 0.15/0.35 (step @p84 false :rule eq_resolve :premises (@p2 @p83)) % 0.15/0.35 ) % 0.15/0.35 % SZS output end Proof % 0.15/0.35 % cvc5 exiting %------------------------------------------------------------------------------