%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU569^2 : 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 : n005.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 08:52:14 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU569^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n005.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 17:41:48 EDT 2026 % 0.15/0.34 % 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 $$unsorted 0) % 0.31/0.55 (declare-const tptp.subsetI2 Bool) % 0.31/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.31/0.55 (define @t2 () (@var "A" $$unsorted)) % 0.31/0.55 (define @t3 () (_ tptp.subset @t2)) % 0.31/0.55 (define @t4 () (_ @t3 @t1)) % 0.31/0.55 (define @t5 () (@var "Xx" $$unsorted)) % 0.31/0.55 (define @t6 () (_ tptp.in @t5)) % 0.31/0.55 (define @t7 () (_ @t6 @t1)) % 0.31/0.55 (define @t8 () (_ @t6 @t2)) % 0.31/0.55 (define @t9 () (@list @t5)) % 0.31/0.55 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.31/0.55 (define @t11 () (=> @t10 @t4)) % 0.31/0.55 (define @t12 () (@list @t2 @t1)) % 0.31/0.55 (define @t13 () (forall @t12 @t11)) % 0.31/0.55 (define @t14 () (= tptp.subsetI2 @t13)) % 0.31/0.55 (define @t15 () (_ @t3 @t2)) % 0.31/0.55 (define @t16 () (@list @t2)) % 0.31/0.55 (define @t17 () (forall @t16 @t15)) % 0.31/0.55 (define @t18 () (=> tptp.subsetI2 @t17)) % 0.31/0.55 (define @t19 () (not @t18)) % 0.31/0.55 (define @t20 () (tptp.subset @t2 @t2)) % 0.31/0.55 (define @t21 () (forall @t16 @t20)) % 0.31/0.55 (define @t22 () (tptp.subset @t2 @t1)) % 0.31/0.55 (define @t23 () (tptp.in @t5 @t1)) % 0.31/0.55 (define @t24 () (tptp.in @t5 @t2)) % 0.31/0.55 (define @t25 () (forall @t9 (or (not @t24) @t23))) % 0.31/0.55 (define @t26 () (not @t25)) % 0.31/0.55 (define @t27 () (or @t26 @t4)) % 0.31/0.55 (define @t28 () (not @t8)) % 0.31/0.55 (define @t29 () (or @t28 @t7)) % 0.31/0.55 (define @t30 () (=> tptp.subsetI2 @t21)) % 0.31/0.55 (define @t31 () (@quantifiers_skolemize @t21 0)) % 0.31/0.55 (define @t32 () (tptp.subset @t31 @t31)) % 0.31/0.55 (define @t33 () (tptp.in @t5 @t31)) % 0.31/0.55 (define @t34 () (forall @t9 (or (not @t33) @t33))) % 0.31/0.55 (define @t35 () (not @t34)) % 0.31/0.55 (define @t36 () (or @t35 @t32)) % 0.31/0.55 (define @t37 () (forall @t12 (or @t26 @t22))) % 0.31/0.55 (assume @p1 @t14) % 0.31/0.55 (assume @p2 @t19) % 0.31/0.55 (assume @p3 true) % 0.31/0.55 (step @p4 :rule refl :args (@t21)) % 0.31/0.55 (step @p5 :rule refl :args (@t22)) % 0.31/0.55 (step @p6 :rule refl :args (@t4)) % 0.31/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t22))) % 0.31/0.55 (step @p8 :rule symm :premises (@p7)) % 0.31/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.31/0.55 (step @p10 :rule refl :args (@t26)) % 0.31/0.55 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t27)) % 0.31/0.55 (step @p12 :rule cong :premises (@p11) :args ((forall @t12 @t27))) % 0.31/0.55 (step @p13 :rule bool-impl-elim :args (@t25 @t4)) % 0.31/0.55 (step @p14 :rule cong :premises (@p13) :args ((forall @t12 (=> @t25 @t4)))) % 0.31/0.55 (step @p15 :rule trans :premises (@p14 @p12)) % 0.31/0.55 (step @p16 :rule refl :args (@t4)) % 0.31/0.55 (step @p17 :rule refl :args (@t23)) % 0.31/0.55 (step @p18 :rule refl :args (@t7)) % 0.31/0.55 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t7 @t23))) % 0.31/0.55 (step @p20 :rule symm :premises (@p19)) % 0.31/0.55 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.31/0.55 (step @p22 :rule refl :args (@t24)) % 0.31/0.55 (step @p23 :rule refl :args (@t8)) % 0.31/0.55 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t8 @t24))) % 0.31/0.55 (step @p25 :rule symm :premises (@p24)) % 0.31/0.55 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.31/0.55 (step @p27 :rule cong :premises (@p26) :args (@t28)) % 0.31/0.55 (step @p28 :rule nary_cong :premises (@p27 @p21) :args (@t29)) % 0.31/0.55 (step @p29 :rule cong :premises (@p28) :args ((forall @t9 @t29))) % 0.31/0.55 (step @p30 :rule bool-impl-elim :args (@t8 @t7)) % 0.31/0.55 (step @p31 :rule cong :premises (@p30) :args (@t10)) % 0.31/0.55 (step @p32 :rule trans :premises (@p31 @p29)) % 0.31/0.55 (step @p33 :rule cong :premises (@p32 @p16) :args (@t11)) % 0.31/0.55 (step @p34 :rule cong :premises (@p33) :args (@t13)) % 0.31/0.55 (step @p35 :rule trans :premises (@p34 @p15)) % 0.31/0.55 (step @p36 :rule refl :args (tptp.subsetI2)) % 0.31/0.55 (step @p37 :rule cong :premises (@p36 @p35) :args (@t14)) % 0.31/0.55 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.31/0.55 (step @p39 :rule cong :premises (@p38 @p4) :args (@t30)) % 0.31/0.55 (step @p40 :rule cong :premises (@p39) :args ((not @t30))) % 0.31/0.55 (step @p41 :rule refl :args (@t20)) % 0.31/0.55 (step @p42 :rule refl :args (@t15)) % 0.31/0.55 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t15 @t20))) % 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 (@t17)) % 0.31/0.55 (step @p47 :rule cong :premises (@p36 @p46) :args (@t18)) % 0.31/0.55 (step @p48 :rule cong :premises (@p47) :args (@t19)) % 0.31/0.55 (step @p49 :rule trans :premises (@p48 @p40)) % 0.31/0.55 (step @p50 :rule eq_resolve :premises (@p2 @p49)) % 0.31/0.55 (step @p51 :rule not_implies_elim1 :premises (@p50)) % 0.31/0.55 (step @p52 :rule not_implies_elim2 :premises (@p50)) % 0.31/0.55 (step @p53 :rule skolemize :premises (@p52)) % 0.31/0.55 (step @p54 :rule aci_norm :args ((= (or false @t32) @t32))) % 0.31/0.55 (step @p55 :rule refl :args (@t32)) % 0.31/0.55 (step @p56 :rule evaluate :args ((not true))) % 0.31/0.55 (step @p57 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 0.31/0.55 (step @p58 :rule bool-or-taut2 :args (false @t33 false false)) % 0.31/0.55 (step @p59 :rule cong :premises (@p58) :args (@t34)) % 0.31/0.55 (step @p60 :rule trans :premises (@p59 @p57)) % 0.31/0.55 (step @p61 :rule cong :premises (@p60) :args (@t35)) % 0.31/0.55 (step @p62 :rule trans :premises (@p61 @p56)) % 0.31/0.55 (step @p63 :rule nary_cong :premises (@p62 @p55) :args (@t36)) % 0.31/0.55 (step @p64 :rule trans :premises (@p63 @p54)) % 0.31/0.55 (step @p65 :rule refl :args (@t37)) % 0.31/0.55 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t37 @t36))) % 0.31/0.55 (assume-push @p74 @t37) % 0.31/0.55 (step @p68 :rule instantiate :premises (@p51) :args ((@list @t31 @t31))) % 0.31/0.55 (step-pop @p75 :rule scope :premises (@p68)) % 0.31/0.55 (step @p69 :rule process_scope :premises (@p75) :args (@t36)) % 0.31/0.55 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.31/0.55 (step @p72 :rule implies_elim :premises (@p71)) % 0.31/0.55 (step @p73 false :rule chain_m_resolution :premises (@p72 @p53 @p51) :args (false (@list true false) (@list @t32 @t37))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------