%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO142^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:12:06 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO142^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:59:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.p (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.a $$unsorted) % 0.36/0.57 (define @t1 () (_ tptp.f tptp.a)) % 0.36/0.57 (define @t2 () (_ tptp.f @t1)) % 0.36/0.57 (define @t3 () (_ tptp.p @t2)) % 0.36/0.57 (define @t4 () (@var "Xy" $$unsorted)) % 0.36/0.57 (define @t5 () (_ tptp.p @t4)) % 0.36/0.57 (define @t6 () (=> @t5 @t3)) % 0.36/0.57 (define @t7 () (_ tptp.f @t4)) % 0.36/0.57 (define @t8 () (_ tptp.f @t7)) % 0.36/0.57 (define @t9 () (_ tptp.p @t8)) % 0.36/0.57 (define @t10 () (@var "Xx" $$unsorted)) % 0.36/0.57 (define @t11 () (_ tptp.p @t10)) % 0.36/0.57 (define @t12 () (=> @t11 @t9)) % 0.36/0.57 (define @t13 () (and @t12 @t6)) % 0.36/0.57 (define @t14 () (@list @t10 @t4)) % 0.36/0.57 (define @t15 () (exists @t14 @t13)) % 0.36/0.57 (define @t16 () (not @t15)) % 0.36/0.57 (define @t17 () (tptp.f tptp.a)) % 0.36/0.57 (define @t18 () (tptp.f @t17)) % 0.36/0.57 (define @t19 () (tptp.p @t18)) % 0.36/0.57 (define @t20 () (not @t19)) % 0.36/0.57 (define @t21 () (tptp.p @t4)) % 0.36/0.57 (define @t22 () (tptp.f @t4)) % 0.36/0.57 (define @t23 () (tptp.f @t22)) % 0.36/0.57 (define @t24 () (tptp.p @t23)) % 0.36/0.57 (define @t25 () (tptp.p @t10)) % 0.36/0.57 (define @t26 () (not @t3)) % 0.36/0.57 (define @t27 () (and @t5 @t26)) % 0.36/0.57 (define @t28 () (not @t9)) % 0.36/0.57 (define @t29 () (and @t11 @t28)) % 0.36/0.57 (define @t30 () (or @t29 @t27)) % 0.36/0.57 (define @t31 () (forall @t14 (not @t13))) % 0.36/0.57 (define @t32 () (not @t31)) % 0.36/0.57 (define @t33 () (@const 0 $$unsorted)) % 0.36/0.57 (define @t34 () (tptp.f (tptp.f @t33))) % 0.36/0.57 (define @t35 () (tptp.p @t34)) % 0.36/0.57 (define @t36 () (and @t35 (not (tptp.p (tptp.f (tptp.f @t34)))))) % 0.36/0.57 (define @t37 () (and @t35 @t20)) % 0.36/0.57 (define @t38 () (or @t36 @t37)) % 0.36/0.57 (define @t39 () (not @t35)) % 0.36/0.57 (define @t40 () (tptp.p @t33)) % 0.36/0.57 (define @t41 () (and @t40 @t39)) % 0.36/0.57 (define @t42 () (not @t41)) % 0.36/0.57 (define @t43 () (@list false)) % 0.36/0.57 (define @t44 () (and @t40 @t20)) % 0.36/0.57 (define @t45 () (or @t41 @t44)) % 0.36/0.57 (define @t46 () (and @t19 (not (tptp.p (tptp.f (tptp.f @t18)))))) % 0.36/0.57 (define @t47 () (not @t46)) % 0.36/0.57 (define @t48 () (@list true)) % 0.36/0.57 (define @t49 () (@list @t19)) % 0.36/0.57 (define @t50 () (and @t19 @t20)) % 0.36/0.57 (define @t51 () (not @t50)) % 0.36/0.57 (define @t52 () (or @t46 @t50)) % 0.36/0.57 (assume @p1 @t16) % 0.36/0.57 (assume @p2 true) % 0.36/0.57 (step @p3 :rule bool-double-not-elim :args ((forall @t14 (or (and @t25 (not @t24)) (and @t21 @t20))))) % 0.36/0.57 (step @p4 :rule refl :args ((tptp.p @t2))) % 0.36/0.57 (step @p5 :rule refl :args ((tptp.f @t1))) % 0.36/0.57 (step @p6 :rule refl :args (@t17)) % 0.36/0.57 (step @p7 :rule cong :premises (@p6) :args (@t18)) % 0.36/0.57 (step @p8 :rule trans :premises (@p7 @p5)) % 0.36/0.57 (step @p9 :rule cong :premises (@p8) :args (@t19)) % 0.36/0.57 (step @p10 :rule trans :premises (@p9 @p4)) % 0.36/0.57 (step @p11 :rule refl :args (tptp.p)) % 0.36/0.57 (step @p12 :rule ho_cong :premises (@p11 @p8)) % 0.36/0.57 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ tptp.p @t18) @t19))) % 0.36/0.57 (step @p14 :rule symm :premises (@p13)) % 0.36/0.57 (step @p15 :rule refl :args (@t3)) % 0.36/0.57 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.36/0.57 (step @p17 :rule refl :args (tptp.f)) % 0.36/0.57 (step @p18 :rule ho_cong :premises (@p17 @p6)) % 0.36/0.57 (step @p19 :rule cong :premises (@p18 @p8) :args ((= (_ tptp.f @t17) @t18))) % 0.36/0.57 (step @p20 :rule symm :premises (@p19)) % 0.36/0.57 (step @p21 :rule refl :args (@t2)) % 0.36/0.57 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.36/0.57 (step @p23 :rule refl :args (@t1)) % 0.36/0.57 (step @p24 :rule cong :premises (@p23 @p6) :args ((= @t1 @t17))) % 0.36/0.57 (step @p25 :rule symm :premises (@p24)) % 0.36/0.57 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.36/0.57 (step @p27 :rule ho_cong :premises (@p17 @p26)) % 0.36/0.57 (step @p28 :rule trans :premises (@p27 @p22)) % 0.36/0.57 (step @p29 :rule ho_cong :premises (@p11 @p28)) % 0.36/0.57 (step @p30 :rule trans :premises (@p29 @p16)) % 0.36/0.57 (step @p31 :rule cong :premises (@p30) :args (@t26)) % 0.36/0.57 (step @p32 :rule refl :args (@t21)) % 0.36/0.57 (step @p33 :rule refl :args (@t5)) % 0.36/0.57 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t5 @t21))) % 0.36/0.57 (step @p35 :rule symm :premises (@p34)) % 0.36/0.57 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.36/0.57 (step @p37 :rule nary_cong :premises (@p36 @p31) :args (@t27)) % 0.36/0.57 (step @p38 :rule refl :args ((tptp.p @t8))) % 0.36/0.57 (step @p39 :rule refl :args ((tptp.f @t7))) % 0.36/0.57 (step @p40 :rule refl :args (@t22)) % 0.36/0.57 (step @p41 :rule cong :premises (@p40) :args (@t23)) % 0.36/0.57 (step @p42 :rule trans :premises (@p41 @p39)) % 0.36/0.57 (step @p43 :rule cong :premises (@p42) :args (@t24)) % 0.36/0.57 (step @p44 :rule trans :premises (@p43 @p38)) % 0.36/0.57 (step @p45 :rule ho_cong :premises (@p11 @p42)) % 0.36/0.57 (step @p46 :rule cong :premises (@p45 @p44) :args ((= (_ tptp.p @t23) @t24))) % 0.36/0.57 (step @p47 :rule symm :premises (@p46)) % 0.36/0.57 (step @p48 :rule refl :args (@t9)) % 0.36/0.57 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.36/0.57 (step @p50 :rule ho_cong :premises (@p17 @p40)) % 0.36/0.57 (step @p51 :rule cong :premises (@p50 @p42) :args ((= (_ tptp.f @t22) @t23))) % 0.36/0.57 (step @p52 :rule symm :premises (@p51)) % 0.36/0.57 (step @p53 :rule refl :args (@t8)) % 0.36/0.57 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.36/0.57 (step @p55 :rule refl :args (@t7)) % 0.36/0.57 (step @p56 :rule cong :premises (@p55 @p40) :args ((= @t7 @t22))) % 0.36/0.57 (step @p57 :rule symm :premises (@p56)) % 0.36/0.57 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.36/0.57 (step @p59 :rule ho_cong :premises (@p17 @p58)) % 0.36/0.57 (step @p60 :rule trans :premises (@p59 @p54)) % 0.36/0.57 (step @p61 :rule ho_cong :premises (@p11 @p60)) % 0.36/0.57 (step @p62 :rule trans :premises (@p61 @p49)) % 0.36/0.57 (step @p63 :rule cong :premises (@p62) :args (@t28)) % 0.36/0.57 (step @p64 :rule refl :args (@t25)) % 0.36/0.57 (step @p65 :rule refl :args (@t11)) % 0.36/0.57 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t11 @t25))) % 0.36/0.57 (step @p67 :rule symm :premises (@p66)) % 0.36/0.57 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.36/0.57 (step @p69 :rule nary_cong :premises (@p68 @p63) :args (@t29)) % 0.36/0.57 (step @p70 :rule nary_cong :premises (@p69 @p37) :args (@t30)) % 0.36/0.57 (step @p71 :rule cong :premises (@p70) :args ((forall @t14 @t30))) % 0.36/0.57 (step @p72 :rule bool-implies-de-morgan :args (@t5 @t3)) % 0.36/0.57 (step @p73 :rule bool-implies-de-morgan :args (@t11 @t9)) % 0.36/0.57 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t12) (not @t6)))) % 0.36/0.57 (step @p75 :rule bool-and-de-morgan :args (@t12 @t6 true)) % 0.36/0.57 (step @p76 :rule trans :premises (@p75 @p74)) % 0.36/0.57 (step @p77 :rule cong :premises (@p76) :args (@t31)) % 0.36/0.57 (step @p78 :rule trans :premises (@p77 @p71)) % 0.36/0.57 (step @p79 :rule cong :premises (@p78) :args (@t32)) % 0.36/0.57 (step @p80 :rule exists-elim :args ((= @t15 @t32))) % 0.36/0.57 (step @p81 :rule trans :premises (@p80 @p79)) % 0.36/0.57 (step @p82 :rule cong :premises (@p81) :args (@t16)) % 0.36/0.57 (step @p83 :rule trans :premises (@p82 @p3)) % 0.36/0.57 (step @p84 :rule eq_resolve :premises (@p1 @p83)) % 0.36/0.57 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t18 @t18))) % 0.36/0.57 (step @p86 :rule instantiate :premises (@p84) :args ((@list @t33 @t33))) % 0.36/0.57 (step @p87 :rule cnf_and_pos :args (@t36 0)) % 0.36/0.57 (step @p88 :rule reordering :premises (@p87) :args ((or @t35 (not @t36)))) % 0.36/0.57 (step @p89 :rule cnf_and_pos :args (@t37 0)) % 0.36/0.57 (step @p90 :rule reordering :premises (@p89) :args ((or @t35 (not @t37)))) % 0.36/0.57 (step @p91 :rule instantiate :premises (@p84) :args ((@list @t34 @t34))) % 0.36/0.57 (step @p92 :rule cnf_or_pos :args (@t38)) % 0.36/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or @t36 @t37 (not @t38)))) % 0.36/0.57 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p90 @p88) :args (@t35 (@list false true true) (@list @t38 @t37 @t36))) % 0.36/0.57 (step @p95 :rule cnf_and_pos :args (@t41 1)) % 0.36/0.57 (step @p96 :rule reordering :premises (@p95) :args ((or @t39 @t42))) % 0.36/0.57 (step @p97 :rule chain_m_resolution :premises (@p96 @p94) :args (@t42 @t43 (@list @t35))) % 0.36/0.57 (step @p98 :rule cnf_or_pos :args (@t45)) % 0.36/0.57 (step @p99 :rule reordering :premises (@p98) :args ((or @t41 @t44 (not @t45)))) % 0.36/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p86) :args (@t44 (@list true false) (@list @t41 @t45))) % 0.36/0.57 (step @p101 :rule cnf_and_pos :args (@t44 1)) % 0.36/0.57 (step @p102 :rule reordering :premises (@p101) :args ((or @t20 (not @t44)))) % 0.36/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t20 @t43 (@list @t44))) % 0.36/0.57 (step @p104 :rule cnf_and_pos :args (@t46 0)) % 0.36/0.57 (step @p105 :rule reordering :premises (@p104) :args ((or @t19 @t47))) % 0.36/0.57 (step @p106 :rule chain_m_resolution :premises (@p105 @p103) :args (@t47 @t48 @t49)) % 0.36/0.57 (step @p107 :rule cnf_and_pos :args (@t50 0)) % 0.36/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or @t19 @t51))) % 0.36/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p103) :args (@t51 @t48 @t49)) % 0.36/0.57 (step @p110 :rule cnf_or_pos :args (@t52)) % 0.36/0.57 (step @p111 :rule reordering :premises (@p110) :args ((or @t46 @t50 (not @t52)))) % 0.36/0.57 (step @p112 false :rule chain_m_resolution :premises (@p111 @p109 @p106 @p85) :args (false (@list true true false) (@list @t50 @t46 @t52))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------