%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU552^2 : 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 : 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 08:52:10 AM UTC 2026 % Result : Theorem 0.30s 0.56s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU552^2 : TPTP v9.2.1. Bugfixed v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:42:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.51 %----Proving TH0 % 0.30/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.56 % SZS status Theorem % 0.30/0.56 % SZS output start Proof % 0.30/0.56 ( % 0.30/0.56 (declare-sort $$unsorted 0) % 0.30/0.56 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.56 (define @t1 () (@var "Xu" $$unsorted)) % 0.30/0.56 (define @t2 () (@var "Xy" $$unsorted)) % 0.30/0.56 (define @t3 () (_ (_ tptp.setadjoin @t2) @t1)) % 0.30/0.56 (define @t4 () (@var "Xz" $$unsorted)) % 0.30/0.56 (define @t5 () (@var "Xx" $$unsorted)) % 0.30/0.56 (define @t6 () (_ (_ tptp.setadjoin @t5) @t4)) % 0.30/0.56 (define @t7 () (= @t6 @t3)) % 0.30/0.56 (define @t8 () (= @t4 @t1)) % 0.30/0.56 (define @t9 () (@list @t4 @t1)) % 0.30/0.56 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.30/0.56 (define @t11 () (= @t5 @t2)) % 0.30/0.56 (define @t12 () (=> @t11 @t10)) % 0.30/0.56 (define @t13 () (@list @t5 @t2)) % 0.30/0.56 (define @t14 () (forall @t13 @t12)) % 0.30/0.56 (define @t15 () (not @t14)) % 0.30/0.56 (define @t16 () (@var "BOUND_VARIABLE_7450" $$unsorted)) % 0.30/0.56 (define @t17 () (@list @t2 @t16)) % 0.30/0.56 (define @t18 () (tptp.setadjoin @t2 @t16)) % 0.30/0.56 (define @t19 () (not (= @t2 @t2))) % 0.30/0.56 (define @t20 () (or @t19 (= @t18 @t18))) % 0.30/0.57 (define @t21 () (= @t18 (tptp.setadjoin @t5 @t16))) % 0.30/0.57 (define @t22 () (not @t11)) % 0.30/0.57 (define @t23 () (or @t22 @t22 @t21)) % 0.30/0.57 (define @t24 () (@list @t5)) % 0.30/0.57 (define @t25 () (or @t22 @t21)) % 0.30/0.57 (define @t26 () (forall @t24 @t25)) % 0.30/0.57 (define @t27 () (forall @t17 @t26)) % 0.30/0.57 (define @t28 () (forall (@list @t2 @t16 @t5) @t25)) % 0.30/0.57 (define @t29 () (forall (@list @t5 @t2 @t16) @t25)) % 0.30/0.57 (define @t30 () (@list @t16)) % 0.30/0.57 (define @t31 () (forall @t30 @t25)) % 0.30/0.57 (define @t32 () (forall @t30 @t21)) % 0.30/0.57 (define @t33 () (or @t22 @t32)) % 0.30/0.57 (define @t34 () (tptp.setadjoin @t5 @t1)) % 0.30/0.57 (define @t35 () (tptp.setadjoin @t2 @t1)) % 0.30/0.57 (define @t36 () (= @t35 @t34)) % 0.30/0.57 (define @t37 () (@list @t1)) % 0.30/0.57 (define @t38 () (forall @t37 @t36)) % 0.30/0.57 (define @t39 () (not (= @t1 @t1))) % 0.30/0.57 (define @t40 () (or @t39 (= @t34 @t35))) % 0.30/0.57 (define @t41 () (tptp.setadjoin @t5 @t4)) % 0.30/0.57 (define @t42 () (= @t41 @t35)) % 0.30/0.57 (define @t43 () (not @t8)) % 0.30/0.57 (define @t44 () (or @t43 @t43 @t42)) % 0.30/0.57 (define @t45 () (@list @t4)) % 0.30/0.57 (define @t46 () (or @t43 @t42)) % 0.30/0.57 (define @t47 () (forall @t45 @t46)) % 0.30/0.57 (define @t48 () (forall @t37 @t47)) % 0.30/0.57 (define @t49 () (forall (@list @t1 @t4) @t46)) % 0.30/0.57 (define @t50 () (or @t43 @t7)) % 0.30/0.57 (assume @p1 @t15) % 0.30/0.57 (assume @p2 true) % 0.30/0.57 (step @p3 :rule evaluate :args ((not true))) % 0.30/0.57 (step @p4 :rule quant-unused-vars :args ((= (forall @t17 true) true))) % 0.30/0.57 (step @p5 :rule evaluate :args ((or false true))) % 0.30/0.57 (step @p6 :rule eq-refl :args (@t18)) % 0.30/0.57 (step @p7 :rule eq-refl :args (@t2)) % 0.30/0.57 (step @p8 :rule cong :premises (@p7) :args (@t19)) % 0.30/0.57 (step @p9 :rule trans :premises (@p8 @p3)) % 0.30/0.57 (step @p10 :rule nary_cong :premises (@p9 @p6) :args (@t20)) % 0.30/0.57 (step @p11 :rule trans :premises (@p10 @p5)) % 0.30/0.57 (step @p12 :rule cong :premises (@p11) :args ((forall @t17 @t20))) % 0.30/0.57 (step @p13 :rule trans :premises (@p12 @p4)) % 0.30/0.57 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t24 @t23) @t20))) % 0.30/0.57 (step @p15 :rule aci_norm :args ((= @t25 @t23))) % 0.30/0.57 (step @p16 :rule cong :premises (@p15) :args (@t26)) % 0.30/0.57 (step @p17 :rule trans :premises (@p16 @p14)) % 0.30/0.57 (step @p18 :rule cong :premises (@p17) :args (@t27)) % 0.30/0.57 (step @p19 :rule quant-merge-prenex :args ((= @t27 @t28))) % 0.30/0.57 (step @p20 :rule symm :premises (@p19)) % 0.30/0.57 (step @p21 :rule quant_var_reordering :args ((= @t29 @t28))) % 0.30/0.57 (step @p22 :rule trans :premises (@p21 @p20 @p18)) % 0.30/0.57 (step @p23 :rule trans :premises (@p22 @p13)) % 0.30/0.57 (step @p24 :rule quant-merge-prenex :args ((= (forall @t13 @t31) @t29))) % 0.30/0.57 (step @p25 :rule alpha_equiv :args (@t32 (@list @t16) (@list @t1))) % 0.30/0.57 (step @p26 :rule refl :args (@t22)) % 0.30/0.57 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t33)) % 0.30/0.57 (step @p28 :rule quant-miniscope-or :args ((= @t31 @t33))) % 0.30/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.30/0.57 (step @p30 :rule symm :premises (@p29)) % 0.30/0.57 (step @p31 :rule cong :premises (@p30) :args ((forall @t13 (or @t22 @t38)))) % 0.30/0.57 (step @p32 :rule trans :premises (@p31 @p24)) % 0.30/0.57 (step @p33 :rule trans :premises (@p32 @p23)) % 0.30/0.57 (step @p34 :rule bool-impl-elim :args (@t11 @t38)) % 0.30/0.57 (step @p35 :rule cong :premises (@p34) :args ((forall @t13 (=> @t11 @t38)))) % 0.30/0.57 (step @p36 :rule trans :premises (@p35 @p33)) % 0.30/0.57 (step @p37 :rule aci_norm :args ((= (or false @t36) @t36))) % 0.30/0.57 (step @p38 :rule eq-symm :args (@t34 @t35)) % 0.30/0.57 (step @p39 :rule eq-refl :args (@t1)) % 0.30/0.57 (step @p40 :rule cong :premises (@p39) :args (@t39)) % 0.30/0.57 (step @p41 :rule trans :premises (@p40 @p3)) % 0.30/0.57 (step @p42 :rule nary_cong :premises (@p41 @p38) :args (@t40)) % 0.30/0.57 (step @p43 :rule trans :premises (@p42 @p37)) % 0.30/0.57 (step @p44 :rule cong :premises (@p43) :args ((forall @t37 @t40))) % 0.30/0.57 (step @p45 :rule quant-var-elim-eq :args ((= (forall @t45 @t44) @t40))) % 0.30/0.57 (step @p46 :rule aci_norm :args ((= @t46 @t44))) % 0.30/0.57 (step @p47 :rule cong :premises (@p46) :args (@t47)) % 0.30/0.57 (step @p48 :rule trans :premises (@p47 @p45)) % 0.30/0.57 (step @p49 :rule cong :premises (@p48) :args (@t48)) % 0.30/0.57 (step @p50 :rule quant-merge-prenex :args ((= @t48 @t49))) % 0.30/0.57 (step @p51 :rule symm :premises (@p50)) % 0.30/0.57 (step @p52 :rule quant_var_reordering :args ((= (forall @t9 @t46) @t49))) % 0.30/0.57 (step @p53 :rule trans :premises (@p52 @p51 @p49)) % 0.30/0.57 (step @p54 :rule trans :premises (@p53 @p44)) % 0.30/0.57 (step @p55 :rule refl :args (@t35)) % 0.30/0.57 (step @p56 :rule refl :args (@t3)) % 0.30/0.57 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t3 @t35))) % 0.30/0.57 (step @p58 :rule symm :premises (@p57)) % 0.30/0.57 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.30/0.57 (step @p60 :rule refl :args (@t41)) % 0.30/0.57 (step @p61 :rule refl :args (@t6)) % 0.30/0.57 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t6 @t41))) % 0.30/0.57 (step @p63 :rule symm :premises (@p62)) % 0.30/0.57 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.30/0.57 (step @p65 :rule cong :premises (@p64 @p59) :args (@t7)) % 0.30/0.57 (step @p66 :rule refl :args (@t43)) % 0.30/0.57 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t50)) % 0.30/0.57 (step @p68 :rule cong :premises (@p67) :args ((forall @t9 @t50))) % 0.30/0.57 (step @p69 :rule trans :premises (@p68 @p54)) % 0.30/0.57 (step @p70 :rule bool-impl-elim :args (@t8 @t7)) % 0.30/0.57 (step @p71 :rule cong :premises (@p70) :args (@t10)) % 0.30/0.57 (step @p72 :rule trans :premises (@p71 @p69)) % 0.30/0.57 (step @p73 :rule refl :args (@t11)) % 0.30/0.57 (step @p74 :rule cong :premises (@p73 @p72) :args (@t12)) % 0.30/0.57 (step @p75 :rule cong :premises (@p74) :args (@t14)) % 0.30/0.57 (step @p76 :rule trans :premises (@p75 @p36)) % 0.30/0.57 (step @p77 :rule cong :premises (@p76) :args (@t15)) % 0.30/0.57 (step @p78 :rule trans :premises (@p77 @p3)) % 0.30/0.57 (step @p79 false :rule eq_resolve :premises (@p1 @p78)) % 0.30/0.57 ) % 0.30/0.57 % SZS output end Proof % 0.30/0.57 % cvc5 exiting %------------------------------------------------------------------------------