%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU513^2 : 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 : n004.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 08:52:00 AM UTC 2026 % Result : Theorem 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU513^2 : 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 % 0.17/0.35 % Computer : n004.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:40:07 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.33/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (declare-sort $$unsorted 0) % 0.33/0.56 (declare-const tptp.emptyset $$unsorted) % 0.33/0.56 (declare-const tptp.setadjoinIL Bool) % 0.33/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.56 (define @t1 () (@var "Xy" $$unsorted)) % 0.33/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.33/0.56 (define @t3 () (_ (_ tptp.setadjoin @t2) @t1)) % 0.33/0.56 (define @t4 () (_ tptp.in @t2)) % 0.33/0.56 (define @t5 () (_ @t4 @t3)) % 0.33/0.56 (define @t6 () (@list @t2 @t1)) % 0.33/0.56 (define @t7 () (forall @t6 @t5)) % 0.33/0.56 (define @t8 () (= tptp.setadjoinIL @t7)) % 0.33/0.56 (define @t9 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.33/0.56 (define @t10 () (_ tptp.in tptp.emptyset)) % 0.33/0.56 (define @t11 () (_ @t10 @t9)) % 0.33/0.56 (define @t12 () (=> tptp.setadjoinIL @t11)) % 0.33/0.56 (define @t13 () (not @t12)) % 0.33/0.56 (define @t14 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.33/0.56 (define @t15 () (tptp.in tptp.emptyset @t14)) % 0.33/0.56 (define @t16 () (tptp.setadjoin @t2 @t1)) % 0.33/0.56 (define @t17 () (tptp.in @t2 @t16)) % 0.33/0.56 (define @t18 () (forall @t6 @t17)) % 0.33/0.56 (define @t19 () (=> @t18 @t11)) % 0.33/0.56 (assume @p1 @t8) % 0.33/0.56 (assume @p2 @t13) % 0.33/0.56 (assume @p3 true) % 0.33/0.56 (step @p4 :rule refl :args ((tptp.in tptp.emptyset @t9))) % 0.33/0.56 (step @p5 :rule refl :args (@t14)) % 0.33/0.56 (step @p6 :rule refl :args (tptp.emptyset)) % 0.33/0.56 (step @p7 :rule cong :premises (@p6 @p5) :args (@t15)) % 0.33/0.56 (step @p8 :rule trans :premises (@p7 @p4)) % 0.33/0.56 (step @p9 :rule refl :args (@t10)) % 0.33/0.56 (step @p10 :rule ho_cong :premises (@p9 @p5)) % 0.33/0.56 (step @p11 :rule cong :premises (@p10 @p8) :args ((= (_ @t10 @t14) @t15))) % 0.33/0.56 (step @p12 :rule symm :premises (@p11)) % 0.33/0.56 (step @p13 :rule refl :args (@t11)) % 0.33/0.56 (step @p14 :rule eq_resolve :premises (@p13 @p12)) % 0.33/0.56 (step @p15 :rule refl :args (@t9)) % 0.33/0.56 (step @p16 :rule cong :premises (@p15 @p5) :args ((= @t9 @t14))) % 0.33/0.56 (step @p17 :rule symm :premises (@p16)) % 0.33/0.56 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.33/0.56 (step @p19 :rule refl :args (@t10)) % 0.33/0.56 (step @p20 :rule ho_cong :premises (@p19 @p18)) % 0.33/0.56 (step @p21 :rule trans :premises (@p20 @p14)) % 0.33/0.56 (step @p22 :rule refl :args (@t18)) % 0.33/0.56 (step @p23 :rule cong :premises (@p22 @p21) :args (@t19)) % 0.33/0.56 (step @p24 :rule cong :premises (@p23) :args ((not @t19))) % 0.33/0.56 (step @p25 :rule refl :args (@t11)) % 0.33/0.56 (step @p26 :rule refl :args ((tptp.in @t2 @t3))) % 0.33/0.56 (step @p27 :rule refl :args (@t16)) % 0.33/0.56 (step @p28 :rule refl :args (@t2)) % 0.33/0.56 (step @p29 :rule cong :premises (@p28 @p27) :args (@t17)) % 0.33/0.56 (step @p30 :rule trans :premises (@p29 @p26)) % 0.33/0.56 (step @p31 :rule refl :args (@t4)) % 0.33/0.56 (step @p32 :rule ho_cong :premises (@p31 @p27)) % 0.33/0.56 (step @p33 :rule cong :premises (@p32 @p30) :args ((= (_ @t4 @t16) @t17))) % 0.33/0.56 (step @p34 :rule symm :premises (@p33)) % 0.33/0.56 (step @p35 :rule refl :args (@t5)) % 0.33/0.56 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.33/0.56 (step @p37 :rule refl :args (@t3)) % 0.33/0.56 (step @p38 :rule cong :premises (@p37 @p27) :args ((= @t3 @t16))) % 0.33/0.56 (step @p39 :rule symm :premises (@p38)) % 0.33/0.56 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.33/0.56 (step @p41 :rule ho_cong :premises (@p31 @p40)) % 0.33/0.56 (step @p42 :rule trans :premises (@p41 @p36)) % 0.33/0.56 (step @p43 :rule cong :premises (@p42) :args (@t7)) % 0.33/0.56 (step @p44 :rule refl :args (tptp.setadjoinIL)) % 0.33/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t8)) % 0.33/0.56 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.33/0.56 (step @p47 :rule cong :premises (@p46 @p25) :args (@t12)) % 0.33/0.56 (step @p48 :rule cong :premises (@p47) :args (@t13)) % 0.33/0.56 (step @p49 :rule trans :premises (@p48 @p24)) % 0.33/0.56 (step @p50 :rule eq_resolve :premises (@p2 @p49)) % 0.33/0.56 (step @p51 :rule not_implies_elim1 :premises (@p50)) % 0.33/0.56 (step @p52 :rule not_implies_elim2 :premises (@p50)) % 0.33/0.56 (assume-push @p59 @t18) % 0.33/0.56 (step @p54 :rule instantiate :premises (@p51) :args ((@list tptp.emptyset tptp.emptyset))) % 0.33/0.56 (step-pop @p60 :rule scope :premises (@p54)) % 0.33/0.56 (step @p55 :rule process_scope :premises (@p60) :args (@t15)) % 0.33/0.56 (step @p57 :rule implies_elim :premises (@p55)) % 0.33/0.56 (step @p58 false :rule chain_m_resolution :premises (@p57 @p52 @p51) :args (false (@list true false) (@list @t15 @t18))) % 0.33/0.56 ) % 0.33/0.56 % SZS output end Proof % 0.33/0.56 % cvc5 exiting %------------------------------------------------------------------------------