%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU808^2 : 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 : n011.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 08:53:17 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU808^2 : TPTP v9.2.1. Released v3.7.0. % 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 : n011.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 17:53:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.27/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort $$unsorted 0) % 0.27/0.55 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.27/0.55 (declare-const tptp.omegaSAx Bool) % 0.27/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.27/0.55 (declare-const tptp.omega $$unsorted) % 0.27/0.55 (define tptp.omegaS () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.setadjoin _let_1) _let_1)))) % 0.27/0.55 (define @t1 () (@var "Xx" $$unsorted)) % 0.27/0.55 (define @t2 () (_ (_ tptp.setadjoin @t1) @t1)) % 0.27/0.55 (define @t3 () (_ (_ tptp.in @t2) tptp.omega)) % 0.27/0.55 (define @t4 () (_ (_ tptp.in @t1) tptp.omega)) % 0.27/0.55 (define @t5 () (@list @t1)) % 0.27/0.55 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.27/0.55 (define @t7 () (= tptp.omegaSAx @t6)) % 0.27/0.55 (define @t8 () (=> @t4 (_ (_ tptp.in (_ tptp.omegaS @t1)) tptp.omega))) % 0.27/0.55 (define @t9 () (forall @t5 @t8)) % 0.27/0.55 (define @t10 () (=> tptp.omegaSAx @t9)) % 0.27/0.55 (define @t11 () (not @t10)) % 0.27/0.55 (define @t12 () (lambda @t5 @t2)) % 0.27/0.55 (define @t13 () (tptp.setadjoin @t1 @t1)) % 0.27/0.55 (define @t14 () (tptp.in @t13 tptp.omega)) % 0.27/0.55 (define @t15 () (tptp.in @t1 tptp.omega)) % 0.27/0.55 (define @t16 () (not @t4)) % 0.27/0.55 (define @t17 () (or @t16 @t3)) % 0.27/0.55 (define @t18 () (_ @t12 @t1)) % 0.27/0.55 (define @t19 () (=> @t4 (_ (_ tptp.in @t18) tptp.omega))) % 0.27/0.55 (define @t20 () (forall @t5 @t19)) % 0.27/0.55 (define @t21 () (=> tptp.omegaSAx @t20)) % 0.27/0.55 (define @t22 () (forall @t5 (or (not @t15) @t14))) % 0.27/0.55 (assume @p1 @t7) % 0.27/0.55 (assume @p2 @t11) % 0.27/0.55 (assume @p3 true) % 0.27/0.55 (step @p4 (= tptp.omegaS @t12) :rule refl :args (@t12)) % 0.27/0.55 (step @p5 :rule refl :args ((tptp.in @t2 tptp.omega))) % 0.27/0.55 (step @p6 :rule refl :args (tptp.omega)) % 0.27/0.55 (step @p7 :rule refl :args (@t13)) % 0.27/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args (@t14)) % 0.27/0.55 (step @p9 :rule trans :premises (@p8 @p5)) % 0.27/0.55 (step @p10 :rule refl :args (tptp.in)) % 0.27/0.55 (step @p11 :rule ho_cong :premises (@p10 @p7)) % 0.27/0.55 (step @p12 :rule ho_cong :premises (@p11 @p6)) % 0.27/0.55 (step @p13 :rule cong :premises (@p12 @p9) :args ((= (_ (_ tptp.in @t13) tptp.omega) @t14))) % 0.27/0.55 (step @p14 :rule symm :premises (@p13)) % 0.27/0.55 (step @p15 :rule refl :args (@t3)) % 0.27/0.55 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.27/0.55 (step @p17 :rule refl :args (@t2)) % 0.27/0.55 (step @p18 :rule cong :premises (@p17 @p7) :args ((= @t2 @t13))) % 0.27/0.55 (step @p19 :rule symm :premises (@p18)) % 0.27/0.55 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.27/0.55 (step @p21 :rule ho_cong :premises (@p10 @p20)) % 0.27/0.55 (step @p22 :rule ho_cong :premises (@p21 @p6)) % 0.27/0.55 (step @p23 :rule trans :premises (@p22 @p16)) % 0.27/0.55 (step @p24 :rule refl :args (@t15)) % 0.27/0.55 (step @p25 :rule refl :args (@t4)) % 0.27/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t4 @t15))) % 0.27/0.55 (step @p27 :rule symm :premises (@p26)) % 0.27/0.55 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.27/0.55 (step @p29 :rule cong :premises (@p28) :args (@t16)) % 0.27/0.55 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t17)) % 0.27/0.55 (step @p31 :rule cong :premises (@p30) :args ((forall @t5 @t17))) % 0.27/0.55 (step @p32 :rule bool-impl-elim :args (@t4 @t3)) % 0.27/0.55 (step @p33 :rule cong :premises (@p32) :args (@t6)) % 0.27/0.55 (step @p34 :rule trans :premises (@p33 @p31)) % 0.27/0.55 (step @p35 :rule refl :args (tptp.omega)) % 0.27/0.55 (step @p36 :rule beta-reduce :args ((= @t18 @t2))) % 0.27/0.55 (step @p37 :rule refl :args (tptp.in)) % 0.27/0.55 (step @p38 :rule ho_cong :premises (@p37 @p36)) % 0.27/0.55 (step @p39 :rule ho_cong :premises (@p38 @p35)) % 0.27/0.55 (step @p40 :rule refl :args (@t4)) % 0.27/0.55 (step @p41 :rule cong :premises (@p40 @p39) :args (@t19)) % 0.27/0.55 (step @p42 :rule cong :premises (@p41) :args (@t20)) % 0.27/0.55 (step @p43 :rule trans :premises (@p42 @p34)) % 0.27/0.55 (step @p44 :rule refl :args (tptp.omegaSAx)) % 0.27/0.55 (step @p45 :rule cong :premises (@p44 @p43) :args (@t21)) % 0.27/0.55 (step @p46 :rule cong :premises (@p45) :args ((not @t21))) % 0.27/0.55 (step @p47 :rule refl :args (@t1)) % 0.27/0.55 (step @p48 :rule ho_cong :premises (@p4 @p47)) % 0.27/0.55 (step @p49 :rule ho_cong :premises (@p37 @p48)) % 0.27/0.55 (step @p50 :rule ho_cong :premises (@p49 @p35)) % 0.27/0.55 (step @p51 :rule cong :premises (@p40 @p50) :args (@t8)) % 0.27/0.55 (step @p52 :rule cong :premises (@p51) :args (@t9)) % 0.27/0.55 (step @p53 :rule cong :premises (@p44 @p52) :args (@t10)) % 0.27/0.55 (step @p54 :rule cong :premises (@p53) :args (@t11)) % 0.27/0.55 (step @p55 :rule trans :premises (@p54 @p46)) % 0.27/0.55 (step @p56 :rule eq_resolve :premises (@p2 @p55)) % 0.27/0.55 (step @p57 :rule not_implies_elim2 :premises (@p56)) % 0.27/0.55 (step @p58 :rule not_implies_elim1 :premises (@p56)) % 0.27/0.55 (step @p59 :rule cnf_equiv_pos1 :args ((= tptp.omegaSAx @t22))) % 0.27/0.55 (step @p60 :rule chain_resolution :premises (@p59 @p58 @p57) :args ((@list false true) (@list tptp.omegaSAx @t22))) % 0.27/0.55 (step @p61 :rule cong :premises (@p44 @p34) :args (@t7)) % 0.27/0.55 (step @p62 :rule eq_resolve :premises (@p1 @p61)) % 0.27/0.55 (step @p63 false :rule contra :premises (@p62 @p60)) % 0.27/0.55 ) % 0.27/0.55 % SZS output end Proof % 0.27/0.56 % cvc5 exiting %------------------------------------------------------------------------------