%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM742^1 : 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 : n018.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 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM742^1 : 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 % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:08:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.36/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort tptp.frac 0) % 0.36/0.58 (declare-const tptp.z tptp.frac) % 0.36/0.58 (declare-const tptp.lessf (-> tptp.frac tptp.frac Bool)) % 0.36/0.58 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.36/0.58 (declare-const tptp.x tptp.frac) % 0.36/0.58 (declare-const tptp.y tptp.frac) % 0.36/0.58 (define @t1 () (_ (_ tptp.eq tptp.x) tptp.y)) % 0.36/0.58 (define @t2 () (_ tptp.lessf tptp.x)) % 0.36/0.58 (define @t3 () (_ @t2 tptp.y)) % 0.36/0.58 (define @t4 () (not @t3)) % 0.36/0.58 (define @t5 () (=> @t4 @t1)) % 0.36/0.58 (define @t6 () (_ (_ tptp.lessf tptp.y) tptp.z)) % 0.36/0.58 (define @t7 () (@var "Xa" Bool)) % 0.36/0.58 (define @t8 () (@var "Xu" tptp.frac)) % 0.36/0.58 (define @t9 () (@var "Xz" tptp.frac)) % 0.36/0.58 (define @t10 () (_ (_ tptp.lessf @t9) @t8)) % 0.36/0.58 (define @t11 () (@var "Xy" tptp.frac)) % 0.36/0.58 (define @t12 () (_ tptp.eq @t11)) % 0.36/0.58 (define @t13 () (_ @t12 @t8)) % 0.36/0.58 (define @t14 () (=> @t13 @t10)) % 0.36/0.58 (define @t15 () (@var "Xx" tptp.frac)) % 0.36/0.58 (define @t16 () (_ tptp.eq @t15)) % 0.36/0.58 (define @t17 () (_ @t16 @t9)) % 0.36/0.58 (define @t18 () (=> @t17 @t14)) % 0.36/0.58 (define @t19 () (_ tptp.lessf @t15)) % 0.36/0.58 (define @t20 () (_ @t19 @t11)) % 0.36/0.58 (define @t21 () (@list @t15 @t11 @t9 @t8)) % 0.36/0.58 (define @t22 () (forall @t21 (=> @t20 @t18))) % 0.36/0.58 (define @t23 () (_ @t12 @t15)) % 0.36/0.58 (define @t24 () (_ @t16 @t11)) % 0.36/0.58 (define @t25 () (@list @t15 @t11)) % 0.36/0.58 (define @t26 () (forall @t25 (=> @t24 @t23))) % 0.36/0.58 (define @t27 () (_ @t19 @t9)) % 0.36/0.58 (define @t28 () (_ (_ tptp.lessf @t11) @t9)) % 0.36/0.58 (define @t29 () (=> @t28 @t27)) % 0.36/0.58 (define @t30 () (@list @t15 @t11 @t9)) % 0.36/0.58 (define @t31 () (forall @t30 (=> @t20 @t29))) % 0.36/0.58 (define @t32 () (_ @t16 @t15)) % 0.36/0.58 (define @t33 () (@list @t15)) % 0.36/0.58 (define @t34 () (forall @t33 @t32)) % 0.36/0.58 (define @t35 () (_ @t2 tptp.z)) % 0.36/0.58 (define @t36 () (not @t35)) % 0.36/0.58 (define @t37 () (tptp.eq @t15 @t15)) % 0.36/0.58 (define @t38 () (tptp.lessf @t9 @t8)) % 0.36/0.58 (define @t39 () (tptp.eq @t11 @t8)) % 0.36/0.58 (define @t40 () (not @t13)) % 0.36/0.58 (define @t41 () (tptp.eq @t15 @t9)) % 0.36/0.58 (define @t42 () (not @t17)) % 0.36/0.58 (define @t43 () (tptp.lessf @t15 @t11)) % 0.36/0.58 (define @t44 () (not @t20)) % 0.36/0.58 (define @t45 () (or @t44 @t42 @t40 @t10)) % 0.36/0.58 (define @t46 () (or @t42 @t40 @t10)) % 0.36/0.58 (define @t47 () (tptp.eq @t11 @t15)) % 0.36/0.58 (define @t48 () (tptp.eq @t15 @t11)) % 0.36/0.58 (define @t49 () (not @t24)) % 0.36/0.58 (define @t50 () (or @t49 @t23)) % 0.36/0.58 (define @t51 () (tptp.lessf @t15 @t9)) % 0.36/0.58 (define @t52 () (tptp.lessf @t11 @t9)) % 0.36/0.58 (define @t53 () (not @t28)) % 0.36/0.58 (define @t54 () (or @t44 @t53 @t27)) % 0.36/0.58 (define @t55 () (tptp.lessf tptp.y tptp.z)) % 0.36/0.58 (define @t56 () (tptp.lessf tptp.x tptp.z)) % 0.36/0.58 (define @t57 () (not @t55)) % 0.36/0.58 (define @t58 () (tptp.lessf tptp.x tptp.y)) % 0.36/0.58 (define @t59 () (not @t58)) % 0.36/0.58 (define @t60 () (or @t59 @t57 @t56)) % 0.36/0.58 (define @t61 () (tptp.eq tptp.x tptp.y)) % 0.36/0.58 (define @t62 () (tptp.eq tptp.y tptp.x)) % 0.36/0.58 (define @t63 () (not @t61)) % 0.36/0.58 (define @t64 () (or @t63 @t62)) % 0.36/0.58 (define @t65 () (tptp.eq tptp.z tptp.z)) % 0.36/0.58 (define @t66 () (not @t65)) % 0.36/0.58 (define @t67 () (not @t62)) % 0.36/0.58 (define @t68 () (or @t57 @t67 @t66 @t56)) % 0.36/0.58 (define @t69 () (forall @t33 @t37)) % 0.36/0.58 (assume @p1 @t5) % 0.36/0.58 (assume @p2 @t6) % 0.36/0.58 (assume @p3 (forall (@list @t7) (=> (not (not @t7)) @t7))) % 0.36/0.58 (assume @p4 @t22) % 0.36/0.58 (assume @p5 @t26) % 0.36/0.58 (assume @p6 @t31) % 0.36/0.58 (assume @p7 @t34) % 0.36/0.58 (assume @p8 @t36) % 0.36/0.58 (assume @p9 true) % 0.36/0.58 (step @p10 :rule refl :args (@t37)) % 0.36/0.58 (step @p11 :rule refl :args (@t32)) % 0.36/0.58 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t32 @t37))) % 0.36/0.58 (step @p13 :rule symm :premises (@p12)) % 0.36/0.58 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.36/0.58 (step @p15 :rule cong :premises (@p14) :args (@t34)) % 0.36/0.58 (step @p16 :rule eq_resolve :premises (@p7 @p15)) % 0.36/0.58 (step @p17 :rule refl :args (@t38)) % 0.36/0.58 (step @p18 :rule refl :args (@t10)) % 0.36/0.58 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t10 @t38))) % 0.36/0.58 (step @p20 :rule symm :premises (@p19)) % 0.36/0.58 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.36/0.58 (step @p22 :rule refl :args (@t39)) % 0.36/0.58 (step @p23 :rule refl :args (@t13)) % 0.36/0.58 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t13 @t39))) % 0.36/0.58 (step @p25 :rule symm :premises (@p24)) % 0.36/0.58 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.36/0.58 (step @p27 :rule cong :premises (@p26) :args (@t40)) % 0.36/0.58 (step @p28 :rule refl :args (@t41)) % 0.36/0.58 (step @p29 :rule refl :args (@t17)) % 0.36/0.58 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t17 @t41))) % 0.36/0.58 (step @p31 :rule symm :premises (@p30)) % 0.36/0.58 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.36/0.58 (step @p33 :rule cong :premises (@p32) :args (@t42)) % 0.36/0.58 (step @p34 :rule refl :args (@t43)) % 0.36/0.58 (step @p35 :rule refl :args (@t20)) % 0.36/0.58 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t20 @t43))) % 0.36/0.58 (step @p37 :rule symm :premises (@p36)) % 0.36/0.58 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.36/0.58 (step @p39 :rule cong :premises (@p38) :args (@t44)) % 0.36/0.58 (step @p40 :rule nary_cong :premises (@p39 @p33 @p27 @p21) :args (@t45)) % 0.36/0.58 (step @p41 :rule cong :premises (@p40) :args ((forall @t21 @t45))) % 0.36/0.58 (step @p42 :rule aci_norm :args ((= (or @t44 @t46) @t45))) % 0.36/0.58 (step @p43 :rule aci_norm :args ((= (or @t42 (or @t40 @t10)) @t46))) % 0.36/0.58 (step @p44 :rule bool-impl-elim :args (@t13 @t10)) % 0.36/0.58 (step @p45 :rule refl :args (@t42)) % 0.36/0.58 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t42 @t14))) % 0.36/0.58 (step @p47 :rule trans :premises (@p46 @p43)) % 0.36/0.58 (step @p48 :rule bool-impl-elim :args (@t17 @t14)) % 0.36/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.36/0.58 (step @p50 :rule refl :args (@t44)) % 0.36/0.58 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t44 @t18))) % 0.36/0.58 (step @p52 :rule trans :premises (@p51 @p42)) % 0.36/0.58 (step @p53 :rule bool-impl-elim :args (@t20 @t18)) % 0.36/0.58 (step @p54 :rule trans :premises (@p53 @p52)) % 0.36/0.58 (step @p55 :rule cong :premises (@p54) :args (@t22)) % 0.36/0.58 (step @p56 :rule trans :premises (@p55 @p41)) % 0.36/0.58 (step @p57 :rule eq_resolve :premises (@p4 @p56)) % 0.36/0.58 (step @p58 :rule instantiate :premises (@p57) :args ((@list tptp.y tptp.z tptp.x tptp.z))) % 0.36/0.58 (step @p59 :rule refl :args (@t47)) % 0.36/0.58 (step @p60 :rule refl :args (@t23)) % 0.36/0.58 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t23 @t47))) % 0.36/0.58 (step @p62 :rule symm :premises (@p61)) % 0.36/0.58 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.36/0.58 (step @p64 :rule refl :args (@t48)) % 0.36/0.58 (step @p65 :rule refl :args (@t24)) % 0.36/0.58 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t24 @t48))) % 0.36/0.58 (step @p67 :rule symm :premises (@p66)) % 0.36/0.58 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.36/0.58 (step @p69 :rule cong :premises (@p68) :args (@t49)) % 0.36/0.58 (step @p70 :rule nary_cong :premises (@p69 @p63) :args (@t50)) % 0.36/0.58 (step @p71 :rule cong :premises (@p70) :args ((forall @t25 @t50))) % 0.36/0.58 (step @p72 :rule bool-impl-elim :args (@t24 @t23)) % 0.36/0.58 (step @p73 :rule cong :premises (@p72) :args (@t26)) % 0.36/0.58 (step @p74 :rule trans :premises (@p73 @p71)) % 0.36/0.58 (step @p75 :rule eq_resolve :premises (@p5 @p74)) % 0.36/0.58 (step @p76 :rule instantiate :premises (@p75) :args ((@list tptp.x tptp.y))) % 0.36/0.58 (step @p77 :rule refl :args (@t51)) % 0.36/0.58 (step @p78 :rule refl :args (@t27)) % 0.36/0.58 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t27 @t51))) % 0.36/0.58 (step @p80 :rule symm :premises (@p79)) % 0.36/0.58 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.36/0.58 (step @p82 :rule refl :args (@t52)) % 0.36/0.58 (step @p83 :rule refl :args (@t28)) % 0.36/0.58 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t28 @t52))) % 0.36/0.58 (step @p85 :rule symm :premises (@p84)) % 0.36/0.58 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 0.36/0.58 (step @p87 :rule cong :premises (@p86) :args (@t53)) % 0.36/0.58 (step @p88 :rule nary_cong :premises (@p39 @p87 @p81) :args (@t54)) % 0.36/0.58 (step @p89 :rule cong :premises (@p88) :args ((forall @t30 @t54))) % 0.36/0.58 (step @p90 :rule aci_norm :args ((= (or @t44 (or @t53 @t27)) @t54))) % 0.36/0.58 (step @p91 :rule bool-impl-elim :args (@t28 @t27)) % 0.36/0.58 (step @p92 :rule nary_cong :premises (@p50 @p91) :args ((or @t44 @t29))) % 0.36/0.58 (step @p93 :rule trans :premises (@p92 @p90)) % 0.36/0.58 (step @p94 :rule bool-impl-elim :args (@t20 @t29)) % 0.36/0.58 (step @p95 :rule trans :premises (@p94 @p93)) % 0.36/0.58 (step @p96 :rule cong :premises (@p95) :args (@t31)) % 0.36/0.58 (step @p97 :rule trans :premises (@p96 @p89)) % 0.36/0.58 (step @p98 :rule eq_resolve :premises (@p6 @p97)) % 0.36/0.58 (step @p99 :rule instantiate :premises (@p98) :args ((@list tptp.x tptp.y tptp.z))) % 0.36/0.58 (step @p100 :rule refl :args (@t55)) % 0.36/0.58 (step @p101 :rule refl :args (@t6)) % 0.36/0.58 (step @p102 :rule cong :premises (@p101 @p100) :args ((= @t6 @t55))) % 0.36/0.58 (step @p103 :rule symm :premises (@p102)) % 0.36/0.58 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.36/0.58 (step @p105 :rule eq_resolve :premises (@p2 @p104)) % 0.36/0.58 (step @p106 :rule refl :args (@t56)) % 0.36/0.58 (step @p107 :rule refl :args (@t35)) % 0.36/0.58 (step @p108 :rule cong :premises (@p107 @p106) :args ((= @t35 @t56))) % 0.36/0.58 (step @p109 :rule symm :premises (@p108)) % 0.36/0.58 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 0.36/0.58 (step @p111 :rule cong :premises (@p110) :args (@t36)) % 0.36/0.58 (step @p112 :rule eq_resolve :premises (@p8 @p111)) % 0.36/0.58 (step @p113 :rule cnf_or_pos :args (@t60)) % 0.36/0.58 (step @p114 :rule reordering :premises (@p113) :args ((or @t59 @t56 @t57 (not @t60)))) % 0.36/0.58 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p105 @p99) :args (@t59 (@list true false false) (@list @t56 @t55 @t60))) % 0.36/0.58 (step @p116 :rule refl :args (@t61)) % 0.36/0.58 (step @p117 :rule bool-double-not-elim :args (@t58)) % 0.36/0.58 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t59) @t61))) % 0.36/0.58 (step @p119 :rule refl :args (@t61)) % 0.36/0.58 (step @p120 :rule refl :args (@t1)) % 0.36/0.58 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t1 @t61))) % 0.36/0.58 (step @p122 :rule symm :premises (@p121)) % 0.36/0.58 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.36/0.58 (step @p124 :rule refl :args (@t58)) % 0.36/0.58 (step @p125 :rule refl :args (@t3)) % 0.36/0.58 (step @p126 :rule cong :premises (@p125 @p124) :args ((= @t3 @t58))) % 0.36/0.58 (step @p127 :rule symm :premises (@p126)) % 0.36/0.58 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.36/0.58 (step @p129 :rule cong :premises (@p128) :args (@t4)) % 0.36/0.58 (step @p130 :rule cong :premises (@p129 @p123) :args (@t5)) % 0.36/0.58 (step @p131 :rule eq_resolve :premises (@p1 @p130)) % 0.36/0.58 (step @p132 :rule implies_elim :premises (@p131)) % 0.36/0.58 (step @p133 :rule eq_resolve :premises (@p132 @p118)) % 0.36/0.58 (step @p134 :rule reordering :premises (@p133) :args ((or @t61 @t58))) % 0.36/0.58 (step @p135 :rule chain_m_resolution :premises (@p134 @p115) :args (@t61 (@list true) (@list @t58))) % 0.36/0.58 (step @p136 :rule cnf_or_pos :args (@t64)) % 0.36/0.58 (step @p137 :rule reordering :premises (@p136) :args ((or @t63 @t62 (not @t64)))) % 0.36/0.58 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p76) :args (@t62 (@list false false) (@list @t61 @t64))) % 0.36/0.58 (step @p139 :rule cnf_or_pos :args (@t68)) % 0.36/0.58 (step @p140 :rule reordering :premises (@p139) :args ((or @t56 @t57 @t67 @t66 (not @t68)))) % 0.36/0.58 (step @p141 :rule chain_m_resolution :premises (@p140 @p112 @p105 @p138 @p58) :args (@t66 (@list true false false false) (@list @t56 @t55 @t62 @t68))) % 0.36/0.58 (assume-push @p148 @t69) % 0.36/0.58 (step @p143 :rule instantiate :premises (@p16) :args ((@list tptp.z))) % 0.36/0.58 (step-pop @p149 :rule scope :premises (@p143)) % 0.36/0.58 (step @p144 :rule process_scope :premises (@p149) :args (@t65)) % 0.36/0.58 (step @p146 :rule implies_elim :premises (@p144)) % 0.36/0.58 (step @p147 false :rule chain_m_resolution :premises (@p146 @p141 @p16) :args (false (@list true false) (@list @t65 @t69))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------