%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU553^2 : TPTP v9.2.1. Bugfixed v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 0.32s 0.55s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU553^2 : TPTP v9.2.1. Bugfixed v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n016.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:42:09 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.32/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.55 % SZS status Theorem % 0.32/0.55 % SZS output start Proof % 0.32/0.55 ( % 0.32/0.55 (declare-sort $$unsorted 0) % 0.32/0.55 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.32/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.32/0.55 (define @t2 () (_ tptp.powerset @t1)) % 0.32/0.55 (define @t3 () (@var "A" $$unsorted)) % 0.32/0.55 (define @t4 () (_ tptp.powerset @t3)) % 0.32/0.55 (define @t5 () (= @t4 @t2)) % 0.32/0.55 (define @t6 () (= @t3 @t1)) % 0.32/0.55 (define @t7 () (@list @t3 @t1)) % 0.32/0.55 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.32/0.55 (define @t9 () (not @t8)) % 0.32/0.55 (define @t10 () (@list @t1)) % 0.32/0.55 (define @t11 () (tptp.powerset @t1)) % 0.32/0.55 (define @t12 () (not (= @t1 @t1))) % 0.32/0.55 (define @t13 () (or @t12 (= @t11 @t11))) % 0.32/0.55 (define @t14 () (tptp.powerset @t3)) % 0.32/0.55 (define @t15 () (= @t14 @t11)) % 0.32/0.55 (define @t16 () (not @t6)) % 0.32/0.55 (define @t17 () (or @t16 @t16 @t15)) % 0.32/0.55 (define @t18 () (@list @t3)) % 0.32/0.55 (define @t19 () (or @t16 @t15)) % 0.32/0.55 (define @t20 () (forall @t18 @t19)) % 0.32/0.55 (define @t21 () (forall @t10 @t20)) % 0.32/0.55 (define @t22 () (forall (@list @t1 @t3) @t19)) % 0.32/0.55 (define @t23 () (or @t16 @t5)) % 0.32/0.55 (assume @p1 @t9) % 0.32/0.55 (assume @p2 true) % 0.32/0.55 (step @p3 :rule evaluate :args ((not true))) % 0.32/0.55 (step @p4 :rule quant-unused-vars :args ((= (forall @t10 true) true))) % 0.32/0.55 (step @p5 :rule evaluate :args ((or false true))) % 0.32/0.55 (step @p6 :rule eq-refl :args (@t11)) % 0.32/0.55 (step @p7 :rule eq-refl :args (@t1)) % 0.32/0.55 (step @p8 :rule cong :premises (@p7) :args (@t12)) % 0.32/0.55 (step @p9 :rule trans :premises (@p8 @p3)) % 0.32/0.55 (step @p10 :rule nary_cong :premises (@p9 @p6) :args (@t13)) % 0.32/0.55 (step @p11 :rule trans :premises (@p10 @p5)) % 0.32/0.55 (step @p12 :rule cong :premises (@p11) :args ((forall @t10 @t13))) % 0.32/0.55 (step @p13 :rule trans :premises (@p12 @p4)) % 0.32/0.55 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t18 @t17) @t13))) % 0.32/0.55 (step @p15 :rule aci_norm :args ((= @t19 @t17))) % 0.32/0.55 (step @p16 :rule cong :premises (@p15) :args (@t20)) % 0.32/0.55 (step @p17 :rule trans :premises (@p16 @p14)) % 0.32/0.55 (step @p18 :rule cong :premises (@p17) :args (@t21)) % 0.32/0.55 (step @p19 :rule quant-merge-prenex :args ((= @t21 @t22))) % 0.32/0.55 (step @p20 :rule symm :premises (@p19)) % 0.32/0.55 (step @p21 :rule quant_var_reordering :args ((= (forall @t7 @t19) @t22))) % 0.32/0.55 (step @p22 :rule trans :premises (@p21 @p20 @p18)) % 0.32/0.55 (step @p23 :rule trans :premises (@p22 @p13)) % 0.32/0.55 (step @p24 :rule refl :args (@t11)) % 0.32/0.55 (step @p25 :rule refl :args (@t2)) % 0.32/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t2 @t11))) % 0.32/0.55 (step @p27 :rule symm :premises (@p26)) % 0.32/0.55 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.32/0.55 (step @p29 :rule refl :args (@t14)) % 0.32/0.55 (step @p30 :rule refl :args (@t4)) % 0.32/0.55 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t4 @t14))) % 0.32/0.55 (step @p32 :rule symm :premises (@p31)) % 0.32/0.55 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.32/0.55 (step @p34 :rule cong :premises (@p33 @p28) :args (@t5)) % 0.32/0.55 (step @p35 :rule refl :args (@t16)) % 0.32/0.55 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t23)) % 0.32/0.55 (step @p37 :rule cong :premises (@p36) :args ((forall @t7 @t23))) % 0.32/0.55 (step @p38 :rule trans :premises (@p37 @p23)) % 0.32/0.55 (step @p39 :rule bool-impl-elim :args (@t6 @t5)) % 0.32/0.55 (step @p40 :rule cong :premises (@p39) :args (@t8)) % 0.32/0.55 (step @p41 :rule trans :premises (@p40 @p38)) % 0.32/0.55 (step @p42 :rule cong :premises (@p41) :args (@t9)) % 0.32/0.55 (step @p43 :rule trans :premises (@p42 @p3)) % 0.32/0.55 (step @p44 false :rule eq_resolve :premises (@p1 @p43)) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting %------------------------------------------------------------------------------