%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO131^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 09:12:05 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO131^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n023.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 : Wed Jun 3 00:00:13 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.a $$unsorted) % 0.38/0.57 (declare-const tptp.cR (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "Xx" $$unsorted)) % 0.38/0.57 (define @t2 () (_ tptp.f @t1)) % 0.38/0.57 (define @t3 () (_ tptp.cR @t1)) % 0.38/0.57 (define @t4 () (_ @t3 @t2)) % 0.38/0.57 (define @t5 () (@list @t1)) % 0.38/0.57 (define @t6 () (exists @t5 @t4)) % 0.38/0.57 (define @t7 () (_ tptp.f tptp.a)) % 0.38/0.57 (define @t8 () (_ tptp.g @t7)) % 0.38/0.57 (define @t9 () (_ tptp.f @t8)) % 0.38/0.57 (define @t10 () (_ (_ tptp.cR @t8) @t9)) % 0.38/0.57 (define @t11 () (=> @t10 @t6)) % 0.38/0.57 (define @t12 () (not @t11)) % 0.38/0.57 (define @t13 () (tptp.f @t1)) % 0.38/0.57 (define @t14 () (tptp.cR @t1 @t13)) % 0.38/0.57 (define @t15 () (forall @t5 (not @t14))) % 0.38/0.57 (define @t16 () (not @t15)) % 0.38/0.57 (define @t17 () (tptp.f tptp.a)) % 0.38/0.57 (define @t18 () (tptp.g @t17)) % 0.38/0.57 (define @t19 () (tptp.f @t18)) % 0.38/0.57 (define @t20 () (tptp.cR @t18 @t19)) % 0.38/0.57 (define @t21 () (=> @t10 @t16)) % 0.38/0.57 (define @t22 () (not @t4)) % 0.38/0.57 (define @t23 () (forall @t5 @t22)) % 0.38/0.57 (define @t24 () (not @t23)) % 0.38/0.57 (assume @p1 @t12) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule refl :args (@t16)) % 0.38/0.57 (step @p4 :rule refl :args ((tptp.cR @t8 @t9))) % 0.38/0.57 (step @p5 :rule refl :args ((tptp.f @t8))) % 0.38/0.57 (step @p6 :rule refl :args ((tptp.g @t7))) % 0.38/0.57 (step @p7 :rule refl :args (@t17)) % 0.38/0.57 (step @p8 :rule cong :premises (@p7) :args (@t18)) % 0.38/0.57 (step @p9 :rule trans :premises (@p8 @p6)) % 0.38/0.57 (step @p10 :rule cong :premises (@p9) :args (@t19)) % 0.38/0.57 (step @p11 :rule trans :premises (@p10 @p5)) % 0.38/0.57 (step @p12 :rule cong :premises (@p9 @p11) :args (@t20)) % 0.38/0.57 (step @p13 :rule trans :premises (@p12 @p4)) % 0.38/0.57 (step @p14 :rule refl :args (tptp.cR)) % 0.38/0.57 (step @p15 :rule ho_cong :premises (@p14 @p9)) % 0.38/0.57 (step @p16 :rule ho_cong :premises (@p15 @p11)) % 0.38/0.57 (step @p17 :rule cong :premises (@p16 @p13) :args ((= (_ (_ tptp.cR @t18) @t19) @t20))) % 0.38/0.57 (step @p18 :rule symm :premises (@p17)) % 0.38/0.57 (step @p19 :rule refl :args (@t10)) % 0.38/0.57 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.38/0.57 (step @p21 :rule refl :args (tptp.f)) % 0.38/0.57 (step @p22 :rule ho_cong :premises (@p21 @p9)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22 @p11) :args ((= (_ tptp.f @t18) @t19))) % 0.38/0.57 (step @p24 :rule symm :premises (@p23)) % 0.38/0.57 (step @p25 :rule refl :args (@t9)) % 0.38/0.57 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.38/0.57 (step @p27 :rule refl :args (tptp.g)) % 0.38/0.57 (step @p28 :rule ho_cong :premises (@p27 @p7)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28 @p9) :args ((= (_ tptp.g @t17) @t18))) % 0.38/0.57 (step @p30 :rule symm :premises (@p29)) % 0.38/0.57 (step @p31 :rule refl :args (@t8)) % 0.38/0.57 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.38/0.57 (step @p33 :rule refl :args (@t7)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33 @p7) :args ((= @t7 @t17))) % 0.38/0.57 (step @p35 :rule symm :premises (@p34)) % 0.38/0.57 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.38/0.57 (step @p37 :rule refl :args (tptp.g)) % 0.38/0.57 (step @p38 :rule ho_cong :premises (@p37 @p36)) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p32)) % 0.38/0.57 (step @p40 :rule refl :args (tptp.f)) % 0.38/0.57 (step @p41 :rule ho_cong :premises (@p40 @p39)) % 0.38/0.57 (step @p42 :rule trans :premises (@p41 @p26)) % 0.38/0.57 (step @p43 :rule refl :args (tptp.cR)) % 0.38/0.57 (step @p44 :rule ho_cong :premises (@p43 @p39)) % 0.38/0.57 (step @p45 :rule ho_cong :premises (@p44 @p42)) % 0.38/0.57 (step @p46 :rule trans :premises (@p45 @p20)) % 0.38/0.57 (step @p47 :rule cong :premises (@p46 @p3) :args (@t21)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47) :args ((not @t21))) % 0.38/0.57 (step @p49 :rule refl :args ((tptp.cR @t1 @t2))) % 0.38/0.57 (step @p50 :rule refl :args (@t13)) % 0.38/0.57 (step @p51 :rule refl :args (@t1)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51 @p50) :args (@t14)) % 0.38/0.57 (step @p53 :rule trans :premises (@p52 @p49)) % 0.38/0.57 (step @p54 :rule refl :args (@t3)) % 0.38/0.57 (step @p55 :rule ho_cong :premises (@p54 @p50)) % 0.38/0.57 (step @p56 :rule cong :premises (@p55 @p53) :args ((= (_ @t3 @t13) @t14))) % 0.38/0.57 (step @p57 :rule symm :premises (@p56)) % 0.38/0.57 (step @p58 :rule refl :args (@t4)) % 0.38/0.57 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.38/0.57 (step @p60 :rule refl :args (@t2)) % 0.38/0.57 (step @p61 :rule cong :premises (@p60 @p50) :args ((= @t2 @t13))) % 0.38/0.57 (step @p62 :rule symm :premises (@p61)) % 0.38/0.57 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.38/0.57 (step @p64 :rule ho_cong :premises (@p54 @p63)) % 0.38/0.57 (step @p65 :rule trans :premises (@p64 @p59)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65) :args (@t22)) % 0.38/0.57 (step @p67 :rule cong :premises (@p66) :args (@t23)) % 0.38/0.57 (step @p68 :rule cong :premises (@p67) :args (@t24)) % 0.38/0.57 (step @p69 :rule exists-elim :args ((= @t6 @t24))) % 0.38/0.57 (step @p70 :rule trans :premises (@p69 @p68)) % 0.38/0.57 (step @p71 :rule refl :args (@t10)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71 @p70) :args (@t11)) % 0.38/0.57 (step @p73 :rule cong :premises (@p72) :args (@t12)) % 0.38/0.57 (step @p74 :rule trans :premises (@p73 @p48)) % 0.38/0.57 (step @p75 :rule eq_resolve :premises (@p1 @p74)) % 0.38/0.57 (step @p76 :rule not_implies_elim1 :premises (@p75)) % 0.38/0.57 (step @p77 :rule not_implies_elim2 :premises (@p75)) % 0.38/0.57 (step @p78 :rule not_not_elim :premises (@p77)) % 0.38/0.57 (assume-push @p85 @t15) % 0.38/0.57 (step @p80 :rule instantiate :premises (@p78) :args ((@list @t18))) % 0.38/0.57 (step-pop @p86 :rule scope :premises (@p80)) % 0.38/0.57 (step @p81 :rule process_scope :premises (@p86) :args ((not @t20))) % 0.38/0.57 (step @p83 :rule implies_elim :premises (@p81)) % 0.38/0.57 (step @p84 false :rule chain_m_resolution :premises (@p83 @p78 @p76) :args (false (@list false false) (@list @t15 @t20))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------