%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM662^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:40:17 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM662^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:46:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.nat 0) % 0.30/0.55 (declare-const tptp.z tptp.nat) % 0.30/0.55 (declare-const tptp.y tptp.nat) % 0.30/0.55 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.30/0.55 (declare-const tptp.x tptp.nat) % 0.30/0.55 (define @t1 () (@var "Xx_0" tptp.nat)) % 0.30/0.55 (define @t2 () (_ (_ tptp.pl tptp.x) @t1)) % 0.30/0.55 (define @t3 () (= tptp.y @t2)) % 0.30/0.55 (define @t4 () (not @t3)) % 0.30/0.55 (define @t5 () (@list @t1)) % 0.30/0.55 (define @t6 () (forall @t5 @t4)) % 0.30/0.55 (define @t7 () (not @t6)) % 0.30/0.55 (define @t8 () (@var "Xx" tptp.nat)) % 0.30/0.55 (define @t9 () (_ (_ tptp.pl tptp.y) @t8)) % 0.30/0.55 (define @t10 () (= tptp.z @t9)) % 0.30/0.55 (define @t11 () (not @t10)) % 0.30/0.55 (define @t12 () (@list @t8)) % 0.30/0.55 (define @t13 () (forall @t12 @t11)) % 0.30/0.55 (define @t14 () (not @t13)) % 0.30/0.55 (define @t15 () (@var "Xa" Bool)) % 0.30/0.55 (define @t16 () (@var "Xz" tptp.nat)) % 0.30/0.55 (define @t17 () (@var "Xy" tptp.nat)) % 0.30/0.55 (define @t18 () (_ (_ tptp.pl @t17) @t16)) % 0.30/0.55 (define @t19 () (_ tptp.pl @t8)) % 0.30/0.55 (define @t20 () (_ @t19 @t18)) % 0.30/0.55 (define @t21 () (_ @t19 @t17)) % 0.30/0.55 (define @t22 () (_ (_ tptp.pl @t21) @t16)) % 0.30/0.55 (define @t23 () (= @t22 @t20)) % 0.30/0.55 (define @t24 () (forall (@list @t8 @t17 @t16) @t23)) % 0.30/0.55 (define @t25 () (= tptp.z @t2)) % 0.30/0.55 (define @t26 () (not @t25)) % 0.30/0.55 (define @t27 () (forall @t5 @t26)) % 0.30/0.55 (define @t28 () (tptp.pl tptp.x @t1)) % 0.30/0.55 (define @t29 () (tptp.pl @t17 @t16)) % 0.30/0.55 (define @t30 () (tptp.pl @t8 @t29)) % 0.30/0.55 (define @t31 () (tptp.pl @t8 @t17)) % 0.30/0.55 (define @t32 () (tptp.pl @t31 @t16)) % 0.30/0.55 (define @t33 () (tptp.pl tptp.y @t8)) % 0.30/0.55 (define @t34 () (forall @t12 (not (= tptp.z @t33)))) % 0.30/0.55 (define @t35 () (@quantifiers_skolemize @t34 0)) % 0.30/0.55 (define @t36 () (forall @t5 (not (= tptp.y @t28)))) % 0.30/0.55 (define @t37 () (@quantifiers_skolemize @t36 0)) % 0.30/0.55 (define @t38 () (= tptp.y (tptp.pl tptp.x @t37))) % 0.30/0.55 (define @t39 () (not @t36)) % 0.30/0.55 (define @t40 () (not (not @t38))) % 0.30/0.55 (define @t41 () (@list true)) % 0.30/0.55 (define @t42 () (tptp.pl tptp.y @t35)) % 0.30/0.55 (define @t43 () (= tptp.z @t42)) % 0.30/0.55 (define @t44 () (not @t34)) % 0.30/0.55 (define @t45 () (not (not @t43))) % 0.30/0.55 (define @t46 () (forall @t5 (not (= tptp.z @t28)))) % 0.30/0.55 (define @t47 () (tptp.pl @t37 @t35)) % 0.30/0.55 (define @t48 () (= tptp.z (tptp.pl tptp.x @t47))) % 0.30/0.55 (assume @p1 @t7) % 0.30/0.55 (assume @p2 @t14) % 0.30/0.55 (assume @p3 (forall (@list @t15) (=> (not (not @t15)) @t15))) % 0.30/0.55 (assume @p4 @t24) % 0.30/0.55 (assume @p5 (not (not @t27))) % 0.30/0.55 (assume @p6 true) % 0.30/0.55 (step @p7 :rule refl :args (@t28)) % 0.30/0.55 (step @p8 :rule refl :args (@t2)) % 0.30/0.55 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t2 @t28))) % 0.30/0.55 (step @p10 :rule symm :premises (@p9)) % 0.30/0.55 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.30/0.55 (step @p12 :rule refl :args (tptp.z)) % 0.30/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args (@t25)) % 0.30/0.55 (step @p14 :rule cong :premises (@p13) :args (@t26)) % 0.30/0.55 (step @p15 :rule cong :premises (@p14) :args (@t27)) % 0.30/0.55 (step @p16 :rule bool-double-not-elim :args (@t27)) % 0.30/0.55 (step @p17 :rule trans :premises (@p16 @p15)) % 0.30/0.55 (step @p18 :rule eq_resolve :premises (@p5 @p17)) % 0.30/0.55 (step @p19 :rule refl :args ((tptp.pl @t8 @t18))) % 0.30/0.55 (step @p20 :rule refl :args (@t29)) % 0.30/0.55 (step @p21 :rule refl :args (@t8)) % 0.30/0.55 (step @p22 :rule cong :premises (@p21 @p20) :args (@t30)) % 0.30/0.55 (step @p23 :rule trans :premises (@p22 @p19)) % 0.30/0.55 (step @p24 :rule refl :args (@t19)) % 0.30/0.55 (step @p25 :rule ho_cong :premises (@p24 @p20)) % 0.30/0.55 (step @p26 :rule cong :premises (@p25 @p23) :args ((= (_ @t19 @t29) @t30))) % 0.30/0.55 (step @p27 :rule symm :premises (@p26)) % 0.30/0.55 (step @p28 :rule refl :args (@t20)) % 0.30/0.55 (step @p29 :rule eq_resolve :premises (@p28 @p27)) % 0.30/0.55 (step @p30 :rule refl :args (@t18)) % 0.30/0.55 (step @p31 :rule cong :premises (@p30 @p20) :args ((= @t18 @t29))) % 0.30/0.55 (step @p32 :rule symm :premises (@p31)) % 0.30/0.55 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.30/0.55 (step @p34 :rule ho_cong :premises (@p24 @p33)) % 0.30/0.55 (step @p35 :rule trans :premises (@p34 @p29)) % 0.30/0.55 (step @p36 :rule refl :args ((tptp.pl @t21 @t16))) % 0.30/0.55 (step @p37 :rule refl :args (@t16)) % 0.30/0.55 (step @p38 :rule refl :args (@t31)) % 0.30/0.55 (step @p39 :rule cong :premises (@p38 @p37) :args (@t32)) % 0.30/0.55 (step @p40 :rule trans :premises (@p39 @p36)) % 0.30/0.55 (step @p41 :rule refl :args (tptp.pl)) % 0.30/0.55 (step @p42 :rule ho_cong :premises (@p41 @p38)) % 0.30/0.55 (step @p43 :rule ho_cong :premises (@p42 @p37)) % 0.30/0.55 (step @p44 :rule cong :premises (@p43 @p40) :args ((= (_ (_ tptp.pl @t31) @t16) @t32))) % 0.30/0.55 (step @p45 :rule symm :premises (@p44)) % 0.30/0.55 (step @p46 :rule refl :args (@t22)) % 0.30/0.55 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.30/0.55 (step @p48 :rule refl :args (@t21)) % 0.30/0.55 (step @p49 :rule cong :premises (@p48 @p38) :args ((= @t21 @t31))) % 0.30/0.55 (step @p50 :rule symm :premises (@p49)) % 0.30/0.55 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.30/0.55 (step @p52 :rule ho_cong :premises (@p41 @p51)) % 0.30/0.55 (step @p53 :rule ho_cong :premises (@p52 @p37)) % 0.30/0.55 (step @p54 :rule trans :premises (@p53 @p47)) % 0.30/0.55 (step @p55 :rule cong :premises (@p54 @p35) :args (@t23)) % 0.30/0.55 (step @p56 :rule cong :premises (@p55) :args (@t24)) % 0.30/0.55 (step @p57 :rule eq_resolve :premises (@p4 @p56)) % 0.30/0.55 (step @p58 :rule instantiate :premises (@p57) :args ((@list tptp.x @t37 @t35))) % 0.30/0.55 (step @p59 :rule refl :args (@t35)) % 0.30/0.55 (step @p60 :rule refl :args (tptp.y)) % 0.30/0.55 (step @p61 :rule cong :premises (@p60 @p11) :args (@t3)) % 0.30/0.55 (step @p62 :rule cong :premises (@p61) :args (@t4)) % 0.30/0.55 (step @p63 :rule cong :premises (@p62) :args (@t6)) % 0.30/0.55 (step @p64 :rule cong :premises (@p63) :args (@t7)) % 0.30/0.55 (step @p65 :rule eq_resolve :premises (@p1 @p64)) % 0.30/0.55 (step @p66 :rule refl :args (@t38)) % 0.30/0.55 (step @p67 :rule bool-double-not-elim :args (@t36)) % 0.30/0.55 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or (not @t39) @t38))) % 0.30/0.55 (step @p69 :rule bool-double-not-elim :args (@t38)) % 0.30/0.55 (step @p70 :rule refl :args (@t39)) % 0.30/0.55 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t39 @t40))) % 0.30/0.55 (assume-push @p112 @t39) % 0.30/0.55 (step @p73 :rule skolemize :premises (@p65)) % 0.30/0.55 (step-pop @p113 :rule scope :premises (@p73)) % 0.30/0.55 (step @p74 :rule process_scope :premises (@p113) :args (@t40)) % 0.30/0.55 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.30/0.55 (step @p77 :rule implies_elim :premises (@p76)) % 0.30/0.55 (step @p78 :rule eq_resolve :premises (@p77 @p68)) % 0.30/0.55 (step @p79 :rule chain_m_resolution :premises (@p78 @p65) :args (@t38 @t41 (@list @t36))) % 0.30/0.55 (step @p80 :rule cong :premises (@p79 @p59) :args (@t42)) % 0.30/0.55 (step @p81 :rule refl :args (@t33)) % 0.30/0.55 (step @p82 :rule refl :args (@t9)) % 0.30/0.55 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t9 @t33))) % 0.30/0.55 (step @p84 :rule symm :premises (@p83)) % 0.30/0.55 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.30/0.55 (step @p86 :rule cong :premises (@p12 @p85) :args (@t10)) % 0.30/0.55 (step @p87 :rule cong :premises (@p86) :args (@t11)) % 0.30/0.55 (step @p88 :rule cong :premises (@p87) :args (@t13)) % 0.30/0.55 (step @p89 :rule cong :premises (@p88) :args (@t14)) % 0.30/0.55 (step @p90 :rule eq_resolve :premises (@p2 @p89)) % 0.30/0.55 (step @p91 :rule refl :args (@t43)) % 0.30/0.55 (step @p92 :rule bool-double-not-elim :args (@t34)) % 0.30/0.55 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or (not @t44) @t43))) % 0.30/0.55 (step @p94 :rule bool-double-not-elim :args (@t43)) % 0.30/0.55 (step @p95 :rule refl :args (@t44)) % 0.30/0.55 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t44 @t45))) % 0.30/0.55 (assume-push @p114 @t44) % 0.30/0.55 (step @p98 :rule skolemize :premises (@p90)) % 0.30/0.55 (step-pop @p115 :rule scope :premises (@p98)) % 0.30/0.55 (step @p99 :rule process_scope :premises (@p115) :args (@t45)) % 0.30/0.55 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.30/0.55 (step @p102 :rule implies_elim :premises (@p101)) % 0.30/0.55 (step @p103 :rule eq_resolve :premises (@p102 @p93)) % 0.30/0.55 (step @p104 :rule chain_m_resolution :premises (@p103 @p90) :args (@t43 @t41 (@list @t34))) % 0.30/0.55 (step @p105 :rule trans :premises (@p104 @p80 @p58)) % 0.30/0.55 (assume-push @p116 @t46) % 0.30/0.55 (step @p107 :rule instantiate :premises (@p18) :args ((@list @t47))) % 0.30/0.55 (step-pop @p117 :rule scope :premises (@p107)) % 0.30/0.55 (step @p108 :rule process_scope :premises (@p117) :args ((not @t48))) % 0.30/0.55 (step @p110 :rule implies_elim :premises (@p108)) % 0.30/0.55 (step @p111 false :rule chain_m_resolution :premises (@p110 @p105 @p18) :args (false (@list false false) (@list @t48 @t46))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------