%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU532^2 : 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 : 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 08:52:05 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 : SEU532^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 12:40:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----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 $$unsorted 0) % 0.15/0.35 (declare-const tptp.emptyset $$unsorted) % 0.15/0.35 (declare-const tptp.setadjoinIL Bool) % 0.15/0.35 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.15/0.35 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.35 (define @t1 () (@var "Xy" $$unsorted)) % 0.15/0.35 (define @t2 () (@var "Xx" $$unsorted)) % 0.15/0.35 (define @t3 () (_ tptp.setadjoin @t2)) % 0.15/0.35 (define @t4 () (_ @t3 @t1)) % 0.15/0.35 (define @t5 () (_ tptp.in @t2)) % 0.15/0.35 (define @t6 () (_ @t5 @t4)) % 0.15/0.35 (define @t7 () (@list @t2 @t1)) % 0.15/0.35 (define @t8 () (forall @t7 @t6)) % 0.15/0.35 (define @t9 () (= tptp.setadjoinIL @t8)) % 0.15/0.35 (define @t10 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.15/0.35 (define @t11 () (_ @t3 @t10)) % 0.15/0.35 (define @t12 () (_ @t5 @t11)) % 0.15/0.35 (define @t13 () (forall @t7 @t12)) % 0.15/0.35 (define @t14 () (=> tptp.setadjoinIL @t13)) % 0.15/0.35 (define @t15 () (not @t14)) % 0.15/0.35 (define @t16 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.15/0.35 (define @t17 () (tptp.setadjoin @t2 @t16)) % 0.15/0.35 (define @t18 () (tptp.in @t2 @t17)) % 0.15/0.35 (define @t19 () (forall @t7 @t18)) % 0.15/0.35 (define @t20 () (tptp.setadjoin @t2 @t1)) % 0.15/0.35 (define @t21 () (tptp.in @t2 @t20)) % 0.15/0.35 (define @t22 () (=> tptp.setadjoinIL @t19)) % 0.15/0.35 (define @t23 () (forall @t7 @t21)) % 0.15/0.35 (define @t24 () (tptp.setadjoin (@quantifiers_skolemize @t19 1) tptp.emptyset)) % 0.15/0.35 (define @t25 () (@quantifiers_skolemize @t19 0)) % 0.15/0.35 (define @t26 () (tptp.in @t25 (tptp.setadjoin @t25 @t24))) % 0.15/0.35 (assume @p1 @t9) % 0.15/0.35 (assume @p2 @t15) % 0.15/0.35 (assume @p3 true) % 0.15/0.35 (step @p4 :rule refl :args (@t19)) % 0.15/0.35 (step @p5 :rule refl :args ((tptp.in @t2 @t4))) % 0.15/0.35 (step @p6 :rule refl :args (@t20)) % 0.15/0.35 (step @p7 :rule refl :args (@t2)) % 0.15/0.35 (step @p8 :rule cong :premises (@p7 @p6) :args (@t21)) % 0.15/0.35 (step @p9 :rule trans :premises (@p8 @p5)) % 0.15/0.35 (step @p10 :rule refl :args (@t5)) % 0.15/0.35 (step @p11 :rule ho_cong :premises (@p10 @p6)) % 0.15/0.35 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ @t5 @t20) @t21))) % 0.15/0.35 (step @p13 :rule symm :premises (@p12)) % 0.15/0.35 (step @p14 :rule refl :args (@t6)) % 0.15/0.35 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.15/0.35 (step @p16 :rule refl :args (@t4)) % 0.15/0.35 (step @p17 :rule cong :premises (@p16 @p6) :args ((= @t4 @t20))) % 0.15/0.35 (step @p18 :rule symm :premises (@p17)) % 0.15/0.35 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.15/0.35 (step @p20 :rule ho_cong :premises (@p10 @p19)) % 0.15/0.35 (step @p21 :rule trans :premises (@p20 @p15)) % 0.15/0.35 (step @p22 :rule cong :premises (@p21) :args (@t8)) % 0.15/0.35 (step @p23 :rule refl :args (tptp.setadjoinIL)) % 0.15/0.35 (step @p24 :rule cong :premises (@p23 @p22) :args (@t9)) % 0.15/0.35 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.15/0.35 (step @p26 :rule cong :premises (@p25 @p4) :args (@t22)) % 0.15/0.35 (step @p27 :rule cong :premises (@p26) :args ((not @t22))) % 0.15/0.35 (step @p28 :rule refl :args ((tptp.in @t2 @t11))) % 0.15/0.35 (step @p29 :rule refl :args ((tptp.setadjoin @t2 @t10))) % 0.15/0.35 (step @p30 :rule refl :args (@t16)) % 0.15/0.35 (step @p31 :rule cong :premises (@p7 @p30) :args (@t17)) % 0.15/0.35 (step @p32 :rule trans :premises (@p31 @p29)) % 0.15/0.35 (step @p33 :rule cong :premises (@p7 @p32) :args (@t18)) % 0.15/0.35 (step @p34 :rule trans :premises (@p33 @p28)) % 0.15/0.35 (step @p35 :rule ho_cong :premises (@p10 @p32)) % 0.15/0.35 (step @p36 :rule cong :premises (@p35 @p34) :args ((= (_ @t5 @t17) @t18))) % 0.15/0.35 (step @p37 :rule symm :premises (@p36)) % 0.15/0.35 (step @p38 :rule refl :args (@t12)) % 0.15/0.35 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.15/0.35 (step @p40 :rule refl :args (@t3)) % 0.15/0.35 (step @p41 :rule ho_cong :premises (@p40 @p30)) % 0.15/0.35 (step @p42 :rule cong :premises (@p41 @p32) :args ((= (_ @t3 @t16) @t17))) % 0.15/0.35 (step @p43 :rule symm :premises (@p42)) % 0.15/0.35 (step @p44 :rule refl :args (@t11)) % 0.15/0.35 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.15/0.35 (step @p46 :rule refl :args (@t10)) % 0.15/0.35 (step @p47 :rule cong :premises (@p46 @p30) :args ((= @t10 @t16))) % 0.15/0.35 (step @p48 :rule symm :premises (@p47)) % 0.15/0.35 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.15/0.35 (step @p50 :rule ho_cong :premises (@p40 @p49)) % 0.15/0.35 (step @p51 :rule trans :premises (@p50 @p45)) % 0.15/0.35 (step @p52 :rule ho_cong :premises (@p10 @p51)) % 0.15/0.35 (step @p53 :rule trans :premises (@p52 @p39)) % 0.15/0.35 (step @p54 :rule cong :premises (@p53) :args (@t13)) % 0.15/0.35 (step @p55 :rule cong :premises (@p23 @p54) :args (@t14)) % 0.15/0.35 (step @p56 :rule cong :premises (@p55) :args (@t15)) % 0.15/0.35 (step @p57 :rule trans :premises (@p56 @p27)) % 0.15/0.35 (step @p58 :rule eq_resolve :premises (@p2 @p57)) % 0.15/0.35 (step @p59 :rule not_implies_elim1 :premises (@p58)) % 0.15/0.35 (step @p60 :rule not_implies_elim2 :premises (@p58)) % 0.15/0.35 (step @p61 :rule skolemize :premises (@p60)) % 0.15/0.35 (assume-push @p68 @t23) % 0.15/0.35 (step @p63 :rule instantiate :premises (@p59) :args ((@list @t25 @t24))) % 0.15/0.35 (step-pop @p69 :rule scope :premises (@p63)) % 0.15/0.35 (step @p64 :rule process_scope :premises (@p69) :args (@t26)) % 0.15/0.35 (step @p66 :rule implies_elim :premises (@p64)) % 0.15/0.35 (step @p67 false :rule chain_m_resolution :premises (@p66 @p61 @p59) :args (false (@list true false) (@list @t26 @t23))) % 0.15/0.35 ) % 0.15/0.35 % SZS output end Proof % 0.15/0.35 % cvc5 exiting %------------------------------------------------------------------------------