%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM747^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:40:32 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM747^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n014.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 12:10:28 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort tptp.frac 0) % 0.37/0.57 (declare-sort tptp.nat 0) % 0.37/0.57 (declare-const tptp.x1 tptp.nat) % 0.37/0.57 (declare-const tptp.x2 tptp.nat) % 0.37/0.57 (declare-const tptp.n tptp.nat) % 0.37/0.57 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 0.37/0.57 (declare-const tptp.fr (-> tptp.nat tptp.nat tptp.frac)) % 0.37/0.57 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.37/0.57 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.37/0.57 (define @t1 () (@var "Xx" tptp.frac)) % 0.37/0.57 (define @t2 () (@var "Xy" tptp.frac)) % 0.37/0.57 (define @t3 () (_ (_ tptp.eq @t2) @t1)) % 0.37/0.57 (define @t4 () (_ (_ tptp.eq @t1) @t2)) % 0.37/0.57 (define @t5 () (@list @t1 @t2)) % 0.37/0.57 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.37/0.57 (define @t7 () (@var "Xn" tptp.nat)) % 0.37/0.57 (define @t8 () (@var "Xx2" tptp.nat)) % 0.37/0.57 (define @t9 () (@var "Xx1" tptp.nat)) % 0.37/0.57 (define @t10 () (_ (_ tptp.pl @t9) @t8)) % 0.37/0.57 (define @t11 () (_ (_ tptp.fr @t10) @t7)) % 0.37/0.57 (define @t12 () (_ (_ tptp.fr @t8) @t7)) % 0.37/0.57 (define @t13 () (_ (_ tptp.fr @t9) @t7)) % 0.37/0.57 (define @t14 () (_ (_ tptp.pf @t13) @t12)) % 0.37/0.57 (define @t15 () (_ (_ tptp.eq @t14) @t11)) % 0.37/0.57 (define @t16 () (forall (@list @t9 @t8 @t7) @t15)) % 0.37/0.57 (define @t17 () (_ (_ tptp.fr tptp.x2) tptp.n)) % 0.37/0.57 (define @t18 () (_ (_ tptp.fr tptp.x1) tptp.n)) % 0.37/0.57 (define @t19 () (_ (_ tptp.pf @t18) @t17)) % 0.37/0.57 (define @t20 () (_ (_ tptp.pl tptp.x1) tptp.x2)) % 0.37/0.57 (define @t21 () (_ (_ tptp.fr @t20) tptp.n)) % 0.37/0.57 (define @t22 () (_ (_ tptp.eq @t21) @t19)) % 0.37/0.57 (define @t23 () (not @t22)) % 0.37/0.57 (define @t24 () (tptp.fr tptp.x2 tptp.n)) % 0.37/0.57 (define @t25 () (tptp.fr tptp.x1 tptp.n)) % 0.37/0.57 (define @t26 () (tptp.pf @t25 @t24)) % 0.37/0.57 (define @t27 () (tptp.pl tptp.x1 tptp.x2)) % 0.37/0.57 (define @t28 () (tptp.fr @t27 tptp.n)) % 0.37/0.57 (define @t29 () (tptp.eq @t28 @t26)) % 0.37/0.57 (define @t30 () (tptp.eq @t2 @t1)) % 0.37/0.57 (define @t31 () (tptp.eq @t1 @t2)) % 0.37/0.57 (define @t32 () (not @t4)) % 0.37/0.57 (define @t33 () (or @t32 @t3)) % 0.37/0.57 (define @t34 () (tptp.pl @t9 @t8)) % 0.37/0.57 (define @t35 () (tptp.fr @t34 @t7)) % 0.37/0.57 (define @t36 () (tptp.fr @t8 @t7)) % 0.37/0.57 (define @t37 () (tptp.fr @t9 @t7)) % 0.37/0.57 (define @t38 () (tptp.pf @t37 @t36)) % 0.37/0.57 (define @t39 () (tptp.eq @t38 @t35)) % 0.37/0.57 (define @t40 () (tptp.eq @t26 @t28)) % 0.37/0.57 (define @t41 () (not @t40)) % 0.37/0.57 (define @t42 () (or @t41 @t29)) % 0.37/0.57 (assume @p1 @t6) % 0.37/0.57 (assume @p2 @t16) % 0.37/0.57 (assume @p3 @t23) % 0.37/0.57 (assume @p4 true) % 0.37/0.57 (step @p5 :rule refl :args ((tptp.eq @t21 @t19))) % 0.37/0.57 (step @p6 :rule refl :args ((tptp.pf @t18 @t17))) % 0.37/0.57 (step @p7 :rule refl :args (@t24)) % 0.37/0.57 (step @p8 :rule refl :args (@t25)) % 0.37/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args (@t26)) % 0.37/0.57 (step @p10 :rule trans :premises (@p9 @p6)) % 0.37/0.57 (step @p11 :rule refl :args ((tptp.fr @t20 tptp.n))) % 0.37/0.57 (step @p12 :rule refl :args (tptp.n)) % 0.37/0.57 (step @p13 :rule refl :args (@t27)) % 0.37/0.57 (step @p14 :rule cong :premises (@p13 @p12) :args (@t28)) % 0.37/0.57 (step @p15 :rule trans :premises (@p14 @p11)) % 0.37/0.57 (step @p16 :rule cong :premises (@p15 @p10) :args (@t29)) % 0.37/0.57 (step @p17 :rule trans :premises (@p16 @p5)) % 0.37/0.57 (step @p18 :rule refl :args (tptp.eq)) % 0.37/0.57 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.37/0.57 (step @p20 :rule ho_cong :premises (@p19 @p10)) % 0.37/0.57 (step @p21 :rule cong :premises (@p20 @p17) :args ((= (_ (_ tptp.eq @t28) @t26) @t29))) % 0.37/0.57 (step @p22 :rule symm :premises (@p21)) % 0.37/0.57 (step @p23 :rule refl :args (@t22)) % 0.37/0.57 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.37/0.57 (step @p25 :rule refl :args (tptp.pf)) % 0.37/0.57 (step @p26 :rule ho_cong :premises (@p25 @p8)) % 0.37/0.57 (step @p27 :rule ho_cong :premises (@p26 @p7)) % 0.37/0.57 (step @p28 :rule cong :premises (@p27 @p10) :args ((= (_ (_ tptp.pf @t25) @t24) @t26))) % 0.37/0.57 (step @p29 :rule symm :premises (@p28)) % 0.37/0.57 (step @p30 :rule refl :args (@t19)) % 0.37/0.57 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.37/0.57 (step @p32 :rule refl :args (@t17)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32 @p7) :args ((= @t17 @t24))) % 0.37/0.57 (step @p34 :rule symm :premises (@p33)) % 0.37/0.57 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.37/0.57 (step @p36 :rule refl :args (@t18)) % 0.37/0.57 (step @p37 :rule cong :premises (@p36 @p8) :args ((= @t18 @t25))) % 0.37/0.57 (step @p38 :rule symm :premises (@p37)) % 0.37/0.57 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.37/0.57 (step @p40 :rule refl :args (tptp.pf)) % 0.37/0.57 (step @p41 :rule ho_cong :premises (@p40 @p39)) % 0.37/0.57 (step @p42 :rule ho_cong :premises (@p41 @p35)) % 0.37/0.57 (step @p43 :rule trans :premises (@p42 @p31)) % 0.37/0.57 (step @p44 :rule refl :args (tptp.fr)) % 0.37/0.57 (step @p45 :rule ho_cong :premises (@p44 @p13)) % 0.37/0.57 (step @p46 :rule ho_cong :premises (@p45 @p12)) % 0.37/0.57 (step @p47 :rule cong :premises (@p46 @p15) :args ((= (_ (_ tptp.fr @t27) tptp.n) @t28))) % 0.37/0.57 (step @p48 :rule symm :premises (@p47)) % 0.37/0.57 (step @p49 :rule refl :args (@t21)) % 0.37/0.57 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.37/0.57 (step @p51 :rule refl :args (tptp.n)) % 0.37/0.57 (step @p52 :rule refl :args (@t20)) % 0.37/0.57 (step @p53 :rule cong :premises (@p52 @p13) :args ((= @t20 @t27))) % 0.37/0.57 (step @p54 :rule symm :premises (@p53)) % 0.37/0.57 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.37/0.57 (step @p56 :rule refl :args (tptp.fr)) % 0.37/0.57 (step @p57 :rule ho_cong :premises (@p56 @p55)) % 0.37/0.57 (step @p58 :rule ho_cong :premises (@p57 @p51)) % 0.37/0.57 (step @p59 :rule trans :premises (@p58 @p50)) % 0.37/0.57 (step @p60 :rule refl :args (tptp.eq)) % 0.37/0.57 (step @p61 :rule ho_cong :premises (@p60 @p59)) % 0.37/0.57 (step @p62 :rule ho_cong :premises (@p61 @p43)) % 0.37/0.57 (step @p63 :rule trans :premises (@p62 @p24)) % 0.37/0.57 (step @p64 :rule cong :premises (@p63) :args (@t23)) % 0.37/0.57 (step @p65 :rule eq_resolve :premises (@p3 @p64)) % 0.37/0.57 (step @p66 :rule refl :args (@t30)) % 0.37/0.57 (step @p67 :rule refl :args (@t3)) % 0.37/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t3 @t30))) % 0.37/0.57 (step @p69 :rule symm :premises (@p68)) % 0.37/0.57 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.37/0.57 (step @p71 :rule refl :args (@t31)) % 0.37/0.57 (step @p72 :rule refl :args (@t4)) % 0.37/0.57 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t4 @t31))) % 0.37/0.57 (step @p74 :rule symm :premises (@p73)) % 0.37/0.57 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.37/0.57 (step @p76 :rule cong :premises (@p75) :args (@t32)) % 0.37/0.57 (step @p77 :rule nary_cong :premises (@p76 @p70) :args (@t33)) % 0.37/0.57 (step @p78 :rule cong :premises (@p77) :args ((forall @t5 @t33))) % 0.37/0.57 (step @p79 :rule bool-impl-elim :args (@t4 @t3)) % 0.37/0.57 (step @p80 :rule cong :premises (@p79) :args (@t6)) % 0.37/0.57 (step @p81 :rule trans :premises (@p80 @p78)) % 0.37/0.57 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 0.37/0.57 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t26 @t28))) % 0.37/0.57 (step @p84 :rule refl :args ((tptp.eq @t14 @t11))) % 0.37/0.57 (step @p85 :rule refl :args ((tptp.fr @t10 @t7))) % 0.37/0.57 (step @p86 :rule refl :args (@t7)) % 0.37/0.57 (step @p87 :rule refl :args (@t34)) % 0.37/0.57 (step @p88 :rule cong :premises (@p87 @p86) :args (@t35)) % 0.37/0.57 (step @p89 :rule trans :premises (@p88 @p85)) % 0.37/0.57 (step @p90 :rule refl :args ((tptp.pf @t13 @t12))) % 0.37/0.57 (step @p91 :rule refl :args (@t36)) % 0.37/0.57 (step @p92 :rule refl :args (@t37)) % 0.37/0.57 (step @p93 :rule cong :premises (@p92 @p91) :args (@t38)) % 0.37/0.57 (step @p94 :rule trans :premises (@p93 @p90)) % 0.37/0.57 (step @p95 :rule cong :premises (@p94 @p89) :args (@t39)) % 0.37/0.57 (step @p96 :rule trans :premises (@p95 @p84)) % 0.37/0.57 (step @p97 :rule ho_cong :premises (@p18 @p94)) % 0.37/0.57 (step @p98 :rule ho_cong :premises (@p97 @p89)) % 0.37/0.57 (step @p99 :rule cong :premises (@p98 @p96) :args ((= (_ (_ tptp.eq @t38) @t35) @t39))) % 0.37/0.57 (step @p100 :rule symm :premises (@p99)) % 0.37/0.57 (step @p101 :rule refl :args (@t15)) % 0.37/0.57 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.37/0.57 (step @p103 :rule ho_cong :premises (@p44 @p87)) % 0.37/0.57 (step @p104 :rule ho_cong :premises (@p103 @p86)) % 0.37/0.57 (step @p105 :rule cong :premises (@p104 @p89) :args ((= (_ (_ tptp.fr @t34) @t7) @t35))) % 0.37/0.57 (step @p106 :rule symm :premises (@p105)) % 0.37/0.57 (step @p107 :rule refl :args (@t11)) % 0.37/0.57 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.37/0.57 (step @p109 :rule refl :args (@t10)) % 0.37/0.57 (step @p110 :rule cong :premises (@p109 @p87) :args ((= @t10 @t34))) % 0.37/0.57 (step @p111 :rule symm :premises (@p110)) % 0.37/0.57 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 0.37/0.57 (step @p113 :rule ho_cong :premises (@p44 @p112)) % 0.37/0.57 (step @p114 :rule ho_cong :premises (@p113 @p86)) % 0.37/0.57 (step @p115 :rule trans :premises (@p114 @p108)) % 0.37/0.57 (step @p116 :rule ho_cong :premises (@p25 @p92)) % 0.37/0.57 (step @p117 :rule ho_cong :premises (@p116 @p91)) % 0.37/0.57 (step @p118 :rule cong :premises (@p117 @p94) :args ((= (_ (_ tptp.pf @t37) @t36) @t38))) % 0.37/0.57 (step @p119 :rule symm :premises (@p118)) % 0.37/0.57 (step @p120 :rule refl :args (@t14)) % 0.37/0.57 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.37/0.57 (step @p122 :rule refl :args (@t12)) % 0.37/0.57 (step @p123 :rule cong :premises (@p122 @p91) :args ((= @t12 @t36))) % 0.37/0.57 (step @p124 :rule symm :premises (@p123)) % 0.37/0.57 (step @p125 :rule eq_resolve :premises (@p122 @p124)) % 0.37/0.58 (step @p126 :rule refl :args (@t13)) % 0.37/0.58 (step @p127 :rule cong :premises (@p126 @p92) :args ((= @t13 @t37))) % 0.37/0.58 (step @p128 :rule symm :premises (@p127)) % 0.37/0.58 (step @p129 :rule eq_resolve :premises (@p126 @p128)) % 0.37/0.58 (step @p130 :rule ho_cong :premises (@p25 @p129)) % 0.37/0.58 (step @p131 :rule ho_cong :premises (@p130 @p125)) % 0.37/0.58 (step @p132 :rule trans :premises (@p131 @p121)) % 0.37/0.58 (step @p133 :rule ho_cong :premises (@p18 @p132)) % 0.37/0.58 (step @p134 :rule ho_cong :premises (@p133 @p115)) % 0.37/0.58 (step @p135 :rule trans :premises (@p134 @p102)) % 0.37/0.58 (step @p136 :rule cong :premises (@p135) :args (@t16)) % 0.37/0.58 (step @p137 :rule eq_resolve :premises (@p2 @p136)) % 0.37/0.58 (step @p138 :rule instantiate :premises (@p137) :args ((@list tptp.x1 tptp.x2 tptp.n))) % 0.37/0.58 (step @p139 :rule cnf_or_pos :args (@t42)) % 0.37/0.58 (step @p140 :rule reordering :premises (@p139) :args ((or @t29 @t41 (not @t42)))) % 0.37/0.58 (step @p141 false :rule chain_m_resolution :premises (@p140 @p138 @p83 @p65) :args (false (@list false false true) (@list @t40 @t42 @t29))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------