%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM770^1 : 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 : n011.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 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM770^1 : 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 % 0.16/0.34 % Computer : n011.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 12:17:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.36/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort tptp.frac 0) % 0.36/0.56 (declare-const tptp.mf (-> tptp.frac tptp.frac tptp.frac)) % 0.36/0.56 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 0.36/0.56 (declare-const tptp.v tptp.frac) % 0.36/0.56 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 0.36/0.56 (declare-const tptp.x tptp.frac) % 0.36/0.56 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.36/0.56 (declare-const tptp.y tptp.frac) % 0.36/0.56 (define @t1 () (_ (_ tptp.moref tptp.x) tptp.y)) % 0.36/0.56 (define @t2 () (_ (_ tptp.pf tptp.y) tptp.v)) % 0.36/0.56 (define @t3 () (_ (_ tptp.eq @t2) tptp.x)) % 0.36/0.56 (define @t4 () (@var "Xw" tptp.frac)) % 0.36/0.56 (define @t5 () (@var "Xv" tptp.frac)) % 0.36/0.56 (define @t6 () (_ (_ tptp.eq @t5) @t4)) % 0.36/0.56 (define @t7 () (@var "Xx" tptp.frac)) % 0.36/0.56 (define @t8 () (@var "Xy" tptp.frac)) % 0.36/0.56 (define @t9 () (_ tptp.pf @t8)) % 0.36/0.56 (define @t10 () (_ @t9 @t4)) % 0.36/0.56 (define @t11 () (_ (_ tptp.eq @t10) @t7)) % 0.36/0.56 (define @t12 () (=> @t11 @t6)) % 0.36/0.56 (define @t13 () (_ @t9 @t5)) % 0.36/0.56 (define @t14 () (_ (_ tptp.eq @t13) @t7)) % 0.36/0.56 (define @t15 () (@list @t7 @t8 @t5 @t4)) % 0.36/0.56 (define @t16 () (forall @t15 (=> @t14 @t12))) % 0.36/0.56 (define @t17 () (_ (_ tptp.mf @t7) @t8)) % 0.36/0.56 (define @t18 () (_ @t9 @t17)) % 0.36/0.56 (define @t19 () (_ (_ tptp.eq @t18) @t7)) % 0.36/0.56 (define @t20 () (_ (_ tptp.moref @t7) @t8)) % 0.36/0.56 (define @t21 () (@list @t7 @t8)) % 0.36/0.56 (define @t22 () (forall @t21 (=> @t20 @t19))) % 0.36/0.56 (define @t23 () (_ (_ tptp.mf tptp.x) tptp.y)) % 0.36/0.56 (define @t24 () (_ tptp.eq tptp.v)) % 0.36/0.56 (define @t25 () (_ @t24 @t23)) % 0.36/0.56 (define @t26 () (not @t25)) % 0.36/0.56 (define @t27 () (tptp.eq @t5 @t4)) % 0.36/0.56 (define @t28 () (tptp.pf @t8 @t4)) % 0.36/0.56 (define @t29 () (tptp.eq @t28 @t7)) % 0.36/0.56 (define @t30 () (not @t11)) % 0.36/0.56 (define @t31 () (tptp.pf @t8 @t5)) % 0.36/0.56 (define @t32 () (tptp.eq @t31 @t7)) % 0.36/0.56 (define @t33 () (not @t14)) % 0.36/0.56 (define @t34 () (or @t33 @t30 @t6)) % 0.36/0.56 (define @t35 () (tptp.mf @t7 @t8)) % 0.36/0.56 (define @t36 () (tptp.pf @t8 @t35)) % 0.36/0.56 (define @t37 () (tptp.eq @t36 @t7)) % 0.36/0.56 (define @t38 () (tptp.moref @t7 @t8)) % 0.36/0.56 (define @t39 () (not @t20)) % 0.36/0.56 (define @t40 () (or @t39 @t19)) % 0.36/0.56 (define @t41 () (tptp.moref tptp.x tptp.y)) % 0.36/0.56 (define @t42 () (tptp.mf tptp.x tptp.y)) % 0.36/0.56 (define @t43 () (tptp.eq (tptp.pf tptp.y @t42) tptp.x)) % 0.36/0.56 (define @t44 () (not @t41)) % 0.36/0.56 (define @t45 () (or @t44 @t43)) % 0.36/0.56 (define @t46 () (tptp.pf tptp.y tptp.v)) % 0.36/0.56 (define @t47 () (tptp.eq @t46 tptp.x)) % 0.36/0.56 (define @t48 () (tptp.eq tptp.v @t42)) % 0.36/0.56 (define @t49 () (not @t43)) % 0.36/0.56 (define @t50 () (not @t47)) % 0.36/0.56 (define @t51 () (or @t50 @t49 @t48)) % 0.36/0.56 (define @t52 () (not @t51)) % 0.36/0.56 (define @t53 () (forall @t15 (or (not @t32) (not @t29) @t27))) % 0.36/0.56 (assume @p1 @t1) % 0.36/0.56 (assume @p2 @t3) % 0.36/0.56 (assume @p3 @t16) % 0.36/0.56 (assume @p4 @t22) % 0.36/0.56 (assume @p5 @t26) % 0.36/0.56 (assume @p6 true) % 0.36/0.56 (step @p7 :rule refl :args (@t27)) % 0.36/0.56 (step @p8 :rule refl :args (@t6)) % 0.36/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t6 @t27))) % 0.36/0.56 (step @p10 :rule symm :premises (@p9)) % 0.36/0.56 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.36/0.56 (step @p12 :rule refl :args ((tptp.eq @t10 @t7))) % 0.36/0.56 (step @p13 :rule refl :args (@t7)) % 0.36/0.56 (step @p14 :rule refl :args (@t28)) % 0.36/0.56 (step @p15 :rule cong :premises (@p14 @p13) :args (@t29)) % 0.36/0.56 (step @p16 :rule trans :premises (@p15 @p12)) % 0.36/0.56 (step @p17 :rule refl :args (tptp.eq)) % 0.36/0.56 (step @p18 :rule ho_cong :premises (@p17 @p14)) % 0.36/0.56 (step @p19 :rule ho_cong :premises (@p18 @p13)) % 0.36/0.56 (step @p20 :rule cong :premises (@p19 @p16) :args ((= (_ (_ tptp.eq @t28) @t7) @t29))) % 0.36/0.56 (step @p21 :rule symm :premises (@p20)) % 0.36/0.56 (step @p22 :rule refl :args (@t11)) % 0.36/0.56 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 0.36/0.56 (step @p24 :rule refl :args (@t10)) % 0.36/0.56 (step @p25 :rule cong :premises (@p24 @p14) :args ((= @t10 @t28))) % 0.36/0.56 (step @p26 :rule symm :premises (@p25)) % 0.36/0.56 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.36/0.56 (step @p28 :rule ho_cong :premises (@p17 @p27)) % 0.36/0.56 (step @p29 :rule ho_cong :premises (@p28 @p13)) % 0.36/0.56 (step @p30 :rule trans :premises (@p29 @p23)) % 0.36/0.56 (step @p31 :rule cong :premises (@p30) :args (@t30)) % 0.36/0.56 (step @p32 :rule refl :args ((tptp.eq @t13 @t7))) % 0.36/0.56 (step @p33 :rule refl :args (@t31)) % 0.36/0.56 (step @p34 :rule cong :premises (@p33 @p13) :args (@t32)) % 0.36/0.56 (step @p35 :rule trans :premises (@p34 @p32)) % 0.36/0.56 (step @p36 :rule ho_cong :premises (@p17 @p33)) % 0.36/0.56 (step @p37 :rule ho_cong :premises (@p36 @p13)) % 0.36/0.56 (step @p38 :rule cong :premises (@p37 @p35) :args ((= (_ (_ tptp.eq @t31) @t7) @t32))) % 0.36/0.56 (step @p39 :rule symm :premises (@p38)) % 0.36/0.56 (step @p40 :rule refl :args (@t14)) % 0.36/0.56 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.36/0.56 (step @p42 :rule refl :args (@t13)) % 0.36/0.56 (step @p43 :rule cong :premises (@p42 @p33) :args ((= @t13 @t31))) % 0.36/0.56 (step @p44 :rule symm :premises (@p43)) % 0.36/0.56 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.36/0.56 (step @p46 :rule ho_cong :premises (@p17 @p45)) % 0.36/0.56 (step @p47 :rule ho_cong :premises (@p46 @p13)) % 0.36/0.56 (step @p48 :rule trans :premises (@p47 @p41)) % 0.36/0.56 (step @p49 :rule cong :premises (@p48) :args (@t33)) % 0.36/0.56 (step @p50 :rule nary_cong :premises (@p49 @p31 @p11) :args (@t34)) % 0.36/0.56 (step @p51 :rule cong :premises (@p50) :args ((forall @t15 @t34))) % 0.36/0.56 (step @p52 :rule aci_norm :args ((= (or @t33 (or @t30 @t6)) @t34))) % 0.36/0.56 (step @p53 :rule bool-impl-elim :args (@t11 @t6)) % 0.36/0.56 (step @p54 :rule refl :args (@t33)) % 0.36/0.56 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t33 @t12))) % 0.36/0.56 (step @p56 :rule trans :premises (@p55 @p52)) % 0.36/0.56 (step @p57 :rule bool-impl-elim :args (@t14 @t12)) % 0.36/0.56 (step @p58 :rule trans :premises (@p57 @p56)) % 0.36/0.56 (step @p59 :rule cong :premises (@p58) :args (@t16)) % 0.36/0.56 (step @p60 :rule trans :premises (@p59 @p51)) % 0.36/0.56 (step @p61 :rule eq_resolve :premises (@p3 @p60)) % 0.36/0.56 (step @p62 :rule refl :args ((tptp.eq @t18 @t7))) % 0.36/0.56 (step @p63 :rule refl :args ((tptp.pf @t8 @t17))) % 0.36/0.56 (step @p64 :rule refl :args (@t35)) % 0.36/0.56 (step @p65 :rule refl :args (@t8)) % 0.36/0.56 (step @p66 :rule cong :premises (@p65 @p64) :args (@t36)) % 0.36/0.56 (step @p67 :rule trans :premises (@p66 @p63)) % 0.36/0.56 (step @p68 :rule cong :premises (@p67 @p13) :args (@t37)) % 0.36/0.56 (step @p69 :rule trans :premises (@p68 @p62)) % 0.36/0.56 (step @p70 :rule ho_cong :premises (@p17 @p67)) % 0.36/0.56 (step @p71 :rule ho_cong :premises (@p70 @p13)) % 0.36/0.56 (step @p72 :rule cong :premises (@p71 @p69) :args ((= (_ (_ tptp.eq @t36) @t7) @t37))) % 0.36/0.56 (step @p73 :rule symm :premises (@p72)) % 0.36/0.56 (step @p74 :rule refl :args (@t19)) % 0.36/0.56 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.36/0.56 (step @p76 :rule refl :args (@t9)) % 0.36/0.56 (step @p77 :rule ho_cong :premises (@p76 @p64)) % 0.36/0.56 (step @p78 :rule cong :premises (@p77 @p67) :args ((= (_ @t9 @t35) @t36))) % 0.36/0.56 (step @p79 :rule symm :premises (@p78)) % 0.36/0.56 (step @p80 :rule refl :args (@t18)) % 0.36/0.56 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.36/0.56 (step @p82 :rule refl :args (@t17)) % 0.36/0.56 (step @p83 :rule cong :premises (@p82 @p64) :args ((= @t17 @t35))) % 0.36/0.56 (step @p84 :rule symm :premises (@p83)) % 0.36/0.56 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.36/0.56 (step @p86 :rule ho_cong :premises (@p76 @p85)) % 0.36/0.56 (step @p87 :rule trans :premises (@p86 @p81)) % 0.36/0.56 (step @p88 :rule ho_cong :premises (@p17 @p87)) % 0.36/0.56 (step @p89 :rule ho_cong :premises (@p88 @p13)) % 0.36/0.56 (step @p90 :rule trans :premises (@p89 @p75)) % 0.36/0.56 (step @p91 :rule refl :args (@t38)) % 0.36/0.56 (step @p92 :rule refl :args (@t20)) % 0.36/0.56 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t20 @t38))) % 0.36/0.56 (step @p94 :rule symm :premises (@p93)) % 0.36/0.56 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.36/0.56 (step @p96 :rule cong :premises (@p95) :args (@t39)) % 0.36/0.56 (step @p97 :rule nary_cong :premises (@p96 @p90) :args (@t40)) % 0.36/0.56 (step @p98 :rule cong :premises (@p97) :args ((forall @t21 @t40))) % 0.36/0.56 (step @p99 :rule bool-impl-elim :args (@t20 @t19)) % 0.36/0.56 (step @p100 :rule cong :premises (@p99) :args (@t22)) % 0.36/0.56 (step @p101 :rule trans :premises (@p100 @p98)) % 0.36/0.56 (step @p102 :rule eq_resolve :premises (@p4 @p101)) % 0.36/0.56 (step @p103 :rule instantiate :premises (@p102) :args ((@list tptp.x tptp.y))) % 0.36/0.56 (step @p104 :rule refl :args (@t41)) % 0.36/0.56 (step @p105 :rule refl :args (@t1)) % 0.36/0.56 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t1 @t41))) % 0.36/0.56 (step @p107 :rule symm :premises (@p106)) % 0.36/0.56 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.36/0.56 (step @p109 :rule eq_resolve :premises (@p1 @p108)) % 0.36/0.56 (step @p110 :rule cnf_or_pos :args (@t45)) % 0.36/0.56 (step @p111 :rule reordering :premises (@p110) :args ((or @t44 @t43 (not @t45)))) % 0.36/0.56 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p103) :args (@t43 (@list false false) (@list @t41 @t45))) % 0.36/0.56 (step @p113 :rule refl :args ((tptp.eq @t2 tptp.x))) % 0.36/0.56 (step @p114 :rule refl :args (tptp.x)) % 0.36/0.56 (step @p115 :rule refl :args (@t46)) % 0.36/0.56 (step @p116 :rule cong :premises (@p115 @p114) :args (@t47)) % 0.36/0.56 (step @p117 :rule trans :premises (@p116 @p113)) % 0.36/0.56 (step @p118 :rule ho_cong :premises (@p17 @p115)) % 0.36/0.56 (step @p119 :rule ho_cong :premises (@p118 @p114)) % 0.36/0.56 (step @p120 :rule cong :premises (@p119 @p117) :args ((= (_ (_ tptp.eq @t46) tptp.x) @t47))) % 0.36/0.56 (step @p121 :rule symm :premises (@p120)) % 0.36/0.56 (step @p122 :rule refl :args (@t3)) % 0.36/0.56 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.36/0.56 (step @p124 :rule refl :args (tptp.x)) % 0.36/0.56 (step @p125 :rule refl :args (@t2)) % 0.36/0.56 (step @p126 :rule cong :premises (@p125 @p115) :args ((= @t2 @t46))) % 0.36/0.56 (step @p127 :rule symm :premises (@p126)) % 0.36/0.56 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.36/0.56 (step @p129 :rule refl :args (tptp.eq)) % 0.36/0.56 (step @p130 :rule ho_cong :premises (@p129 @p128)) % 0.36/0.56 (step @p131 :rule ho_cong :premises (@p130 @p124)) % 0.36/0.56 (step @p132 :rule trans :premises (@p131 @p123)) % 0.36/0.56 (step @p133 :rule eq_resolve :premises (@p2 @p132)) % 0.36/0.56 (step @p134 :rule refl :args ((tptp.eq tptp.v @t23))) % 0.36/0.56 (step @p135 :rule refl :args (@t42)) % 0.36/0.56 (step @p136 :rule refl :args (tptp.v)) % 0.36/0.56 (step @p137 :rule cong :premises (@p136 @p135) :args (@t48)) % 0.36/0.56 (step @p138 :rule trans :premises (@p137 @p134)) % 0.36/0.56 (step @p139 :rule refl :args (@t24)) % 0.36/0.56 (step @p140 :rule ho_cong :premises (@p139 @p135)) % 0.36/0.56 (step @p141 :rule cong :premises (@p140 @p138) :args ((= (_ @t24 @t42) @t48))) % 0.36/0.56 (step @p142 :rule symm :premises (@p141)) % 0.36/0.56 (step @p143 :rule refl :args (@t25)) % 0.36/0.56 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.36/0.56 (step @p145 :rule refl :args (@t23)) % 0.36/0.56 (step @p146 :rule cong :premises (@p145 @p135) :args ((= @t23 @t42))) % 0.36/0.56 (step @p147 :rule symm :premises (@p146)) % 0.36/0.56 (step @p148 :rule eq_resolve :premises (@p145 @p147)) % 0.36/0.56 (step @p149 :rule refl :args (@t24)) % 0.36/0.56 (step @p150 :rule ho_cong :premises (@p149 @p148)) % 0.36/0.56 (step @p151 :rule trans :premises (@p150 @p144)) % 0.36/0.56 (step @p152 :rule cong :premises (@p151) :args (@t26)) % 0.36/0.56 (step @p153 :rule eq_resolve :premises (@p5 @p152)) % 0.36/0.56 (step @p154 :rule cnf_or_pos :args (@t51)) % 0.36/0.56 (step @p155 :rule reordering :premises (@p154) :args ((or @t48 @t50 @t49 @t52))) % 0.36/0.56 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p133 @p112) :args (@t52 (@list true false false) (@list @t48 @t47 @t43))) % 0.36/0.56 (assume-push @p163 @t53) % 0.36/0.56 (step @p158 :rule instantiate :premises (@p61) :args ((@list tptp.x tptp.y tptp.v @t42))) % 0.36/0.56 (step-pop @p164 :rule scope :premises (@p158)) % 0.36/0.56 (step @p159 :rule process_scope :premises (@p164) :args (@t51)) % 0.36/0.56 (step @p161 :rule implies_elim :premises (@p159)) % 0.36/0.56 (step @p162 false :rule chain_m_resolution :premises (@p161 @p156 @p61) :args (false (@list true false) (@list @t51 @t53))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------