%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM673^1 : 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 : n009.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 08:40:20 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM673^1 : 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 % 0.15/0.34 % Computer : n009.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:50:29 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.29/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort tptp.nat 0) % 0.29/0.55 (declare-const tptp.z tptp.nat) % 0.29/0.55 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.29/0.55 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.29/0.55 (declare-const tptp.x tptp.nat) % 0.29/0.55 (declare-const tptp.y tptp.nat) % 0.29/0.55 (define @t1 () (_ (_ tptp.more tptp.x) tptp.y)) % 0.29/0.55 (define @t2 () (@var "Xz" tptp.nat)) % 0.29/0.55 (define @t3 () (@var "Xy" tptp.nat)) % 0.29/0.55 (define @t4 () (_ tptp.pl @t3)) % 0.29/0.55 (define @t5 () (_ @t4 @t2)) % 0.29/0.55 (define @t6 () (@var "Xx" tptp.nat)) % 0.29/0.55 (define @t7 () (_ tptp.pl @t6)) % 0.29/0.55 (define @t8 () (_ @t7 @t2)) % 0.29/0.55 (define @t9 () (_ (_ tptp.more @t8) @t5)) % 0.29/0.55 (define @t10 () (_ (_ tptp.more @t6) @t3)) % 0.29/0.55 (define @t11 () (@list @t6 @t3 @t2)) % 0.29/0.55 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.29/0.55 (define @t13 () (_ @t4 @t6)) % 0.29/0.55 (define @t14 () (_ @t7 @t3)) % 0.29/0.55 (define @t15 () (= @t14 @t13)) % 0.29/0.55 (define @t16 () (forall (@list @t6 @t3) @t15)) % 0.29/0.55 (define @t17 () (_ tptp.pl tptp.z)) % 0.29/0.55 (define @t18 () (_ @t17 tptp.y)) % 0.29/0.55 (define @t19 () (_ @t17 tptp.x)) % 0.29/0.55 (define @t20 () (_ (_ tptp.more @t19) @t18)) % 0.29/0.55 (define @t21 () (not @t20)) % 0.29/0.55 (define @t22 () (tptp.pl @t3 @t2)) % 0.29/0.55 (define @t23 () (tptp.pl @t6 @t2)) % 0.29/0.55 (define @t24 () (tptp.more @t23 @t22)) % 0.29/0.55 (define @t25 () (tptp.more @t6 @t3)) % 0.29/0.55 (define @t26 () (not @t10)) % 0.29/0.55 (define @t27 () (or @t26 @t9)) % 0.29/0.55 (define @t28 () (tptp.pl tptp.z tptp.y)) % 0.29/0.55 (define @t29 () (tptp.pl tptp.z tptp.x)) % 0.29/0.55 (define @t30 () (tptp.more @t29 @t28)) % 0.29/0.55 (define @t31 () (tptp.pl @t3 @t6)) % 0.29/0.55 (define @t32 () (tptp.pl @t6 @t3)) % 0.29/0.55 (define @t33 () (tptp.more (tptp.pl tptp.x tptp.z) (tptp.pl tptp.y tptp.z))) % 0.29/0.55 (define @t34 () (tptp.more tptp.x tptp.y)) % 0.29/0.55 (define @t35 () (not @t34)) % 0.29/0.55 (define @t36 () (or @t35 @t33)) % 0.29/0.55 (define @t37 () (not @t36)) % 0.29/0.55 (define @t38 () (forall @t11 (or (not @t25) @t24))) % 0.29/0.55 (assume @p1 @t1) % 0.29/0.55 (assume @p2 @t12) % 0.29/0.55 (assume @p3 @t16) % 0.29/0.55 (assume @p4 @t21) % 0.29/0.55 (assume @p5 true) % 0.29/0.55 (step @p6 :rule refl :args ((tptp.more @t8 @t5))) % 0.29/0.55 (step @p7 :rule refl :args (@t22)) % 0.29/0.55 (step @p8 :rule refl :args (@t23)) % 0.29/0.55 (step @p9 :rule cong :premises (@p8 @p7) :args (@t24)) % 0.29/0.55 (step @p10 :rule trans :premises (@p9 @p6)) % 0.29/0.55 (step @p11 :rule refl :args (tptp.more)) % 0.29/0.55 (step @p12 :rule ho_cong :premises (@p11 @p8)) % 0.29/0.55 (step @p13 :rule ho_cong :premises (@p12 @p7)) % 0.29/0.55 (step @p14 :rule cong :premises (@p13 @p10) :args ((= (_ (_ tptp.more @t23) @t22) @t24))) % 0.29/0.55 (step @p15 :rule symm :premises (@p14)) % 0.29/0.55 (step @p16 :rule refl :args (@t9)) % 0.29/0.55 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.29/0.55 (step @p18 :rule refl :args (@t5)) % 0.29/0.55 (step @p19 :rule cong :premises (@p18 @p7) :args ((= @t5 @t22))) % 0.29/0.55 (step @p20 :rule symm :premises (@p19)) % 0.29/0.55 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.29/0.55 (step @p22 :rule refl :args (@t8)) % 0.29/0.55 (step @p23 :rule cong :premises (@p22 @p8) :args ((= @t8 @t23))) % 0.29/0.55 (step @p24 :rule symm :premises (@p23)) % 0.29/0.55 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.29/0.55 (step @p26 :rule ho_cong :premises (@p11 @p25)) % 0.29/0.55 (step @p27 :rule ho_cong :premises (@p26 @p21)) % 0.29/0.55 (step @p28 :rule trans :premises (@p27 @p17)) % 0.29/0.55 (step @p29 :rule refl :args (@t25)) % 0.29/0.55 (step @p30 :rule refl :args (@t10)) % 0.29/0.55 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t10 @t25))) % 0.29/0.55 (step @p32 :rule symm :premises (@p31)) % 0.29/0.55 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.29/0.55 (step @p34 :rule cong :premises (@p33) :args (@t26)) % 0.29/0.55 (step @p35 :rule nary_cong :premises (@p34 @p28) :args (@t27)) % 0.29/0.55 (step @p36 :rule cong :premises (@p35) :args ((forall @t11 @t27))) % 0.29/0.55 (step @p37 :rule bool-impl-elim :args (@t10 @t9)) % 0.29/0.55 (step @p38 :rule cong :premises (@p37) :args (@t12)) % 0.29/0.55 (step @p39 :rule trans :premises (@p38 @p36)) % 0.29/0.55 (step @p40 :rule eq_resolve :premises (@p2 @p39)) % 0.29/0.55 (step @p41 :rule refl :args ((tptp.more @t19 @t18))) % 0.29/0.55 (step @p42 :rule refl :args (@t28)) % 0.29/0.55 (step @p43 :rule refl :args (@t29)) % 0.29/0.55 (step @p44 :rule cong :premises (@p43 @p42) :args (@t30)) % 0.29/0.55 (step @p45 :rule trans :premises (@p44 @p41)) % 0.29/0.55 (step @p46 :rule ho_cong :premises (@p11 @p43)) % 0.29/0.55 (step @p47 :rule ho_cong :premises (@p46 @p42)) % 0.29/0.55 (step @p48 :rule cong :premises (@p47 @p45) :args ((= (_ (_ tptp.more @t29) @t28) @t30))) % 0.29/0.55 (step @p49 :rule symm :premises (@p48)) % 0.29/0.55 (step @p50 :rule refl :args (@t20)) % 0.29/0.55 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.29/0.55 (step @p52 :rule refl :args (@t18)) % 0.29/0.55 (step @p53 :rule cong :premises (@p52 @p42) :args ((= @t18 @t28))) % 0.29/0.55 (step @p54 :rule symm :premises (@p53)) % 0.29/0.55 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.29/0.55 (step @p56 :rule refl :args (@t19)) % 0.29/0.55 (step @p57 :rule cong :premises (@p56 @p43) :args ((= @t19 @t29))) % 0.29/0.55 (step @p58 :rule symm :premises (@p57)) % 0.29/0.55 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.29/0.55 (step @p60 :rule refl :args (tptp.more)) % 0.29/0.55 (step @p61 :rule ho_cong :premises (@p60 @p59)) % 0.29/0.55 (step @p62 :rule ho_cong :premises (@p61 @p55)) % 0.29/0.55 (step @p63 :rule trans :premises (@p62 @p51)) % 0.29/0.55 (step @p64 :rule cong :premises (@p63) :args (@t21)) % 0.29/0.55 (step @p65 :rule eq_resolve :premises (@p4 @p64)) % 0.29/0.55 (step @p66 :rule false_intro :premises (@p65)) % 0.29/0.55 (step @p67 :rule refl :args (@t31)) % 0.29/0.55 (step @p68 :rule refl :args (@t13)) % 0.29/0.55 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t13 @t31))) % 0.29/0.55 (step @p70 :rule symm :premises (@p69)) % 0.29/0.55 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.29/0.55 (step @p72 :rule refl :args (@t32)) % 0.29/0.55 (step @p73 :rule refl :args (@t14)) % 0.29/0.55 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t14 @t32))) % 0.29/0.55 (step @p75 :rule symm :premises (@p74)) % 0.29/0.55 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.29/0.55 (step @p77 :rule cong :premises (@p76 @p71) :args (@t15)) % 0.29/0.55 (step @p78 :rule cong :premises (@p77) :args (@t16)) % 0.29/0.55 (step @p79 :rule eq_resolve :premises (@p3 @p78)) % 0.29/0.55 (step @p80 :rule instantiate :premises (@p79) :args ((@list tptp.z tptp.y))) % 0.29/0.55 (step @p81 :rule symm :premises (@p80)) % 0.29/0.55 (step @p82 :rule instantiate :premises (@p79) :args ((@list tptp.z tptp.x))) % 0.29/0.55 (step @p83 :rule symm :premises (@p82)) % 0.29/0.55 (step @p84 :rule cong :premises (@p83 @p81) :args (@t33)) % 0.29/0.55 (step @p85 :rule trans :premises (@p84 @p66)) % 0.29/0.55 (step @p86 :rule false_elim :premises (@p85)) % 0.29/0.55 (step @p87 :rule refl :args (@t34)) % 0.29/0.55 (step @p88 :rule refl :args (@t1)) % 0.29/0.55 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t1 @t34))) % 0.29/0.55 (step @p90 :rule symm :premises (@p89)) % 0.29/0.55 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.29/0.55 (step @p92 :rule eq_resolve :premises (@p1 @p91)) % 0.29/0.55 (step @p93 :rule cnf_or_pos :args (@t36)) % 0.29/0.55 (step @p94 :rule reordering :premises (@p93) :args ((or @t35 @t33 @t37))) % 0.29/0.55 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p86) :args (@t37 (@list false true) (@list @t34 @t33))) % 0.29/0.55 (assume-push @p102 @t38) % 0.29/0.55 (step @p97 :rule instantiate :premises (@p40) :args ((@list tptp.x tptp.y tptp.z))) % 0.29/0.55 (step-pop @p103 :rule scope :premises (@p97)) % 0.29/0.55 (step @p98 :rule process_scope :premises (@p103) :args (@t36)) % 0.29/0.55 (step @p100 :rule implies_elim :premises (@p98)) % 0.29/0.55 (step @p101 false :rule chain_m_resolution :premises (@p100 @p95 @p40) :args (false (@list true false) (@list @t36 @t38))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------