%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM769^1 : 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 : 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 08:40:38 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 % 0.00/0.13 % Problem : NUM769^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 12:17:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----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 tptp.frac 0) % 0.38/0.57 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 0.38/0.57 (declare-const tptp.mf (-> tptp.frac tptp.frac tptp.frac)) % 0.38/0.57 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 0.38/0.57 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.38/0.57 (declare-const tptp.x tptp.frac) % 0.38/0.57 (declare-const tptp.y tptp.frac) % 0.38/0.57 (define @t1 () (_ (_ tptp.moref tptp.x) tptp.y)) % 0.38/0.57 (define @t2 () (@var "Xx" tptp.frac)) % 0.38/0.57 (define @t3 () (@var "Xy" tptp.frac)) % 0.38/0.57 (define @t4 () (_ (_ tptp.eq @t3) @t2)) % 0.38/0.57 (define @t5 () (_ (_ tptp.eq @t2) @t3)) % 0.38/0.57 (define @t6 () (@list @t2 @t3)) % 0.38/0.57 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.38/0.57 (define @t8 () (_ (_ tptp.mf @t2) @t3)) % 0.38/0.57 (define @t9 () (_ tptp.pf @t3)) % 0.38/0.57 (define @t10 () (_ @t9 @t8)) % 0.38/0.57 (define @t11 () (_ (_ tptp.eq @t10) @t2)) % 0.38/0.57 (define @t12 () (_ (_ tptp.moref @t2) @t3)) % 0.38/0.57 (define @t13 () (forall @t6 (=> @t12 @t11))) % 0.38/0.57 (define @t14 () (_ (_ tptp.mf tptp.x) tptp.y)) % 0.38/0.57 (define @t15 () (_ tptp.pf tptp.y)) % 0.38/0.57 (define @t16 () (_ @t15 @t14)) % 0.38/0.57 (define @t17 () (_ tptp.eq tptp.x)) % 0.38/0.57 (define @t18 () (_ @t17 @t16)) % 0.38/0.57 (define @t19 () (not @t18)) % 0.38/0.57 (define @t20 () (tptp.moref tptp.x tptp.y)) % 0.38/0.57 (define @t21 () (tptp.mf @t2 @t3)) % 0.38/0.57 (define @t22 () (tptp.pf @t3 @t21)) % 0.38/0.57 (define @t23 () (tptp.eq @t22 @t2)) % 0.38/0.57 (define @t24 () (tptp.moref @t2 @t3)) % 0.38/0.57 (define @t25 () (not @t12)) % 0.38/0.57 (define @t26 () (or @t25 @t11)) % 0.38/0.57 (define @t27 () (tptp.eq @t3 @t2)) % 0.38/0.57 (define @t28 () (tptp.eq @t2 @t3)) % 0.38/0.57 (define @t29 () (not @t5)) % 0.38/0.57 (define @t30 () (or @t29 @t4)) % 0.38/0.57 (define @t31 () (tptp.mf tptp.x tptp.y)) % 0.38/0.57 (define @t32 () (tptp.pf tptp.y @t31)) % 0.38/0.57 (define @t33 () (tptp.eq tptp.x @t32)) % 0.38/0.57 (define @t34 () (tptp.eq @t32 tptp.x)) % 0.38/0.57 (define @t35 () (not @t34)) % 0.38/0.57 (define @t36 () (or @t35 @t33)) % 0.38/0.57 (define @t37 () (not @t20)) % 0.38/0.57 (define @t38 () (or @t37 @t34)) % 0.38/0.57 (assume @p1 @t1) % 0.38/0.57 (assume @p2 @t7) % 0.38/0.57 (assume @p3 @t13) % 0.38/0.57 (assume @p4 @t19) % 0.38/0.57 (assume @p5 true) % 0.38/0.57 (step @p6 :rule refl :args (@t20)) % 0.38/0.57 (step @p7 :rule refl :args (@t1)) % 0.38/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t1 @t20))) % 0.38/0.57 (step @p9 :rule symm :premises (@p8)) % 0.38/0.57 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.38/0.57 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.38/0.57 (step @p12 :rule refl :args ((tptp.eq @t10 @t2))) % 0.38/0.57 (step @p13 :rule refl :args (@t2)) % 0.38/0.57 (step @p14 :rule refl :args ((tptp.pf @t3 @t8))) % 0.38/0.57 (step @p15 :rule refl :args (@t21)) % 0.38/0.57 (step @p16 :rule refl :args (@t3)) % 0.38/0.57 (step @p17 :rule cong :premises (@p16 @p15) :args (@t22)) % 0.38/0.57 (step @p18 :rule trans :premises (@p17 @p14)) % 0.38/0.57 (step @p19 :rule cong :premises (@p18 @p13) :args (@t23)) % 0.38/0.57 (step @p20 :rule trans :premises (@p19 @p12)) % 0.38/0.57 (step @p21 :rule refl :args (tptp.eq)) % 0.38/0.57 (step @p22 :rule ho_cong :premises (@p21 @p18)) % 0.38/0.57 (step @p23 :rule ho_cong :premises (@p22 @p13)) % 0.38/0.57 (step @p24 :rule cong :premises (@p23 @p20) :args ((= (_ (_ tptp.eq @t22) @t2) @t23))) % 0.38/0.57 (step @p25 :rule symm :premises (@p24)) % 0.38/0.57 (step @p26 :rule refl :args (@t11)) % 0.38/0.57 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 0.38/0.57 (step @p28 :rule refl :args (@t9)) % 0.38/0.57 (step @p29 :rule ho_cong :premises (@p28 @p15)) % 0.38/0.57 (step @p30 :rule cong :premises (@p29 @p18) :args ((= (_ @t9 @t21) @t22))) % 0.38/0.57 (step @p31 :rule symm :premises (@p30)) % 0.38/0.57 (step @p32 :rule refl :args (@t10)) % 0.38/0.57 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 0.38/0.57 (step @p34 :rule refl :args (@t8)) % 0.38/0.57 (step @p35 :rule cong :premises (@p34 @p15) :args ((= @t8 @t21))) % 0.38/0.57 (step @p36 :rule symm :premises (@p35)) % 0.38/0.57 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.38/0.57 (step @p38 :rule ho_cong :premises (@p28 @p37)) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p33)) % 0.38/0.57 (step @p40 :rule ho_cong :premises (@p21 @p39)) % 0.38/0.57 (step @p41 :rule ho_cong :premises (@p40 @p13)) % 0.38/0.57 (step @p42 :rule trans :premises (@p41 @p27)) % 0.38/0.57 (step @p43 :rule refl :args (@t24)) % 0.38/0.57 (step @p44 :rule refl :args (@t12)) % 0.38/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t12 @t24))) % 0.38/0.57 (step @p46 :rule symm :premises (@p45)) % 0.38/0.57 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47) :args (@t25)) % 0.38/0.57 (step @p49 :rule nary_cong :premises (@p48 @p42) :args (@t26)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49) :args ((forall @t6 @t26))) % 0.38/0.57 (step @p51 :rule bool-impl-elim :args (@t12 @t11)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51) :args (@t13)) % 0.38/0.57 (step @p53 :rule trans :premises (@p52 @p50)) % 0.38/0.57 (step @p54 :rule eq_resolve :premises (@p3 @p53)) % 0.38/0.57 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.x tptp.y))) % 0.38/0.57 (step @p56 :rule refl :args (@t27)) % 0.38/0.57 (step @p57 :rule refl :args (@t4)) % 0.38/0.57 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t4 @t27))) % 0.38/0.57 (step @p59 :rule symm :premises (@p58)) % 0.38/0.57 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.38/0.57 (step @p61 :rule refl :args (@t28)) % 0.38/0.57 (step @p62 :rule refl :args (@t5)) % 0.38/0.57 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t5 @t28))) % 0.38/0.57 (step @p64 :rule symm :premises (@p63)) % 0.38/0.57 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65) :args (@t29)) % 0.38/0.57 (step @p67 :rule nary_cong :premises (@p66 @p60) :args (@t30)) % 0.38/0.57 (step @p68 :rule cong :premises (@p67) :args ((forall @t6 @t30))) % 0.38/0.57 (step @p69 :rule bool-impl-elim :args (@t5 @t4)) % 0.38/0.57 (step @p70 :rule cong :premises (@p69) :args (@t7)) % 0.38/0.57 (step @p71 :rule trans :premises (@p70 @p68)) % 0.38/0.57 (step @p72 :rule eq_resolve :premises (@p2 @p71)) % 0.38/0.57 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t32 tptp.x))) % 0.38/0.57 (step @p74 :rule refl :args ((tptp.eq tptp.x @t16))) % 0.38/0.57 (step @p75 :rule refl :args ((tptp.pf tptp.y @t14))) % 0.38/0.57 (step @p76 :rule refl :args (@t31)) % 0.38/0.57 (step @p77 :rule refl :args (tptp.y)) % 0.38/0.57 (step @p78 :rule cong :premises (@p77 @p76) :args (@t32)) % 0.38/0.57 (step @p79 :rule trans :premises (@p78 @p75)) % 0.38/0.57 (step @p80 :rule refl :args (tptp.x)) % 0.38/0.57 (step @p81 :rule cong :premises (@p80 @p79) :args (@t33)) % 0.38/0.57 (step @p82 :rule trans :premises (@p81 @p74)) % 0.38/0.57 (step @p83 :rule refl :args (@t17)) % 0.38/0.57 (step @p84 :rule ho_cong :premises (@p83 @p79)) % 0.38/0.57 (step @p85 :rule cong :premises (@p84 @p82) :args ((= (_ @t17 @t32) @t33))) % 0.38/0.57 (step @p86 :rule symm :premises (@p85)) % 0.38/0.57 (step @p87 :rule refl :args (@t18)) % 0.38/0.57 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.38/0.57 (step @p89 :rule refl :args (@t15)) % 0.38/0.57 (step @p90 :rule ho_cong :premises (@p89 @p76)) % 0.38/0.57 (step @p91 :rule cong :premises (@p90 @p79) :args ((= (_ @t15 @t31) @t32))) % 0.38/0.57 (step @p92 :rule symm :premises (@p91)) % 0.38/0.57 (step @p93 :rule refl :args (@t16)) % 0.38/0.57 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.38/0.57 (step @p95 :rule refl :args (@t14)) % 0.38/0.57 (step @p96 :rule cong :premises (@p95 @p76) :args ((= @t14 @t31))) % 0.38/0.57 (step @p97 :rule symm :premises (@p96)) % 0.38/0.57 (step @p98 :rule eq_resolve :premises (@p95 @p97)) % 0.38/0.57 (step @p99 :rule refl :args (@t15)) % 0.38/0.57 (step @p100 :rule ho_cong :premises (@p99 @p98)) % 0.38/0.57 (step @p101 :rule trans :premises (@p100 @p94)) % 0.38/0.57 (step @p102 :rule refl :args (@t17)) % 0.38/0.57 (step @p103 :rule ho_cong :premises (@p102 @p101)) % 0.38/0.57 (step @p104 :rule trans :premises (@p103 @p88)) % 0.38/0.57 (step @p105 :rule cong :premises (@p104) :args (@t19)) % 0.38/0.57 (step @p106 :rule eq_resolve :premises (@p4 @p105)) % 0.38/0.57 (step @p107 :rule cnf_or_pos :args (@t36)) % 0.38/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or @t33 @t35 (not @t36)))) % 0.38/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p73) :args (@t35 (@list true false) (@list @t33 @t36))) % 0.38/0.57 (step @p110 :rule cnf_or_pos :args (@t38)) % 0.38/0.57 (step @p111 :rule reordering :premises (@p110) :args ((or @t37 @t34 (not @t38)))) % 0.38/0.57 (step @p112 false :rule chain_m_resolution :premises (@p111 @p109 @p55 @p11) :args (false (@list true false false) (@list @t34 @t38 @t20))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------