%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM743^1 : 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 : n016.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 0.47s 0.63s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM743^1 : 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 % 0.16/0.34 % Computer : n016.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 12:09:54 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.47/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.47/0.63 % SZS status Theorem % 0.47/0.63 % SZS output start Proof % 0.47/0.63 ( % 0.47/0.63 (declare-sort tptp.frac 0) % 0.47/0.63 (declare-const tptp.z tptp.frac) % 0.47/0.63 (declare-const tptp.lessf (-> tptp.frac tptp.frac Bool)) % 0.47/0.63 (declare-const tptp.x tptp.frac) % 0.47/0.63 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.47/0.63 (declare-const tptp.y tptp.frac) % 0.47/0.63 (define @t1 () (_ tptp.lessf tptp.x)) % 0.47/0.63 (define @t2 () (_ @t1 tptp.y)) % 0.47/0.63 (define @t3 () (_ (_ tptp.eq tptp.y) tptp.z)) % 0.47/0.63 (define @t4 () (_ (_ tptp.lessf tptp.y) tptp.z)) % 0.47/0.63 (define @t5 () (not @t4)) % 0.47/0.63 (define @t6 () (=> @t5 @t3)) % 0.47/0.63 (define @t7 () (@var "Xa" Bool)) % 0.47/0.63 (define @t8 () (@var "Xu" tptp.frac)) % 0.47/0.63 (define @t9 () (@var "Xz" tptp.frac)) % 0.47/0.63 (define @t10 () (_ (_ tptp.lessf @t9) @t8)) % 0.47/0.63 (define @t11 () (@var "Xy" tptp.frac)) % 0.47/0.63 (define @t12 () (_ (_ tptp.eq @t11) @t8)) % 0.47/0.63 (define @t13 () (=> @t12 @t10)) % 0.47/0.63 (define @t14 () (@var "Xx" tptp.frac)) % 0.47/0.63 (define @t15 () (_ tptp.eq @t14)) % 0.47/0.63 (define @t16 () (_ @t15 @t9)) % 0.47/0.63 (define @t17 () (=> @t16 @t13)) % 0.47/0.63 (define @t18 () (_ tptp.lessf @t14)) % 0.47/0.63 (define @t19 () (_ @t18 @t11)) % 0.47/0.63 (define @t20 () (@list @t14 @t11 @t9 @t8)) % 0.47/0.63 (define @t21 () (forall @t20 (=> @t19 @t17))) % 0.47/0.63 (define @t22 () (_ @t15 @t14)) % 0.47/0.63 (define @t23 () (@list @t14)) % 0.47/0.63 (define @t24 () (forall @t23 @t22)) % 0.47/0.63 (define @t25 () (_ @t18 @t9)) % 0.47/0.63 (define @t26 () (_ (_ tptp.lessf @t11) @t9)) % 0.47/0.63 (define @t27 () (=> @t26 @t25)) % 0.47/0.63 (define @t28 () (@list @t14 @t11 @t9)) % 0.47/0.63 (define @t29 () (forall @t28 (=> @t19 @t27))) % 0.47/0.63 (define @t30 () (_ @t1 tptp.z)) % 0.47/0.63 (define @t31 () (not @t30)) % 0.47/0.63 (define @t32 () (tptp.eq @t14 @t14)) % 0.47/0.63 (define @t33 () (tptp.lessf @t9 @t8)) % 0.47/0.63 (define @t34 () (tptp.eq @t11 @t8)) % 0.47/0.63 (define @t35 () (not @t12)) % 0.47/0.63 (define @t36 () (tptp.eq @t14 @t9)) % 0.47/0.63 (define @t37 () (not @t16)) % 0.47/0.63 (define @t38 () (tptp.lessf @t14 @t11)) % 0.47/0.63 (define @t39 () (not @t19)) % 0.47/0.63 (define @t40 () (or @t39 @t37 @t35 @t10)) % 0.47/0.63 (define @t41 () (or @t37 @t35 @t10)) % 0.47/0.63 (define @t42 () (tptp.lessf @t14 @t9)) % 0.47/0.63 (define @t43 () (tptp.lessf @t11 @t9)) % 0.47/0.63 (define @t44 () (not @t26)) % 0.47/0.63 (define @t45 () (or @t39 @t44 @t25)) % 0.47/0.63 (define @t46 () (tptp.lessf tptp.x tptp.y)) % 0.47/0.63 (define @t47 () (tptp.lessf tptp.x tptp.z)) % 0.47/0.63 (define @t48 () (tptp.lessf tptp.y tptp.z)) % 0.47/0.63 (define @t49 () (not @t48)) % 0.47/0.63 (define @t50 () (not @t46)) % 0.47/0.63 (define @t51 () (or @t50 @t49 @t47)) % 0.47/0.63 (define @t52 () (tptp.eq tptp.y tptp.z)) % 0.47/0.63 (define @t53 () (not @t52)) % 0.47/0.63 (define @t54 () (tptp.eq tptp.x tptp.x)) % 0.47/0.63 (define @t55 () (not @t54)) % 0.47/0.63 (define @t56 () (or @t50 @t55 @t53 @t47)) % 0.47/0.63 (define @t57 () (forall @t23 @t32)) % 0.47/0.63 (assume @p1 @t2) % 0.47/0.63 (assume @p2 @t6) % 0.47/0.63 (assume @p3 (forall (@list @t7) (=> (not (not @t7)) @t7))) % 0.47/0.63 (assume @p4 @t21) % 0.47/0.63 (assume @p5 @t24) % 0.47/0.63 (assume @p6 @t29) % 0.47/0.63 (assume @p7 @t31) % 0.47/0.63 (assume @p8 true) % 0.47/0.63 (step @p9 :rule refl :args (@t32)) % 0.47/0.63 (step @p10 :rule refl :args (@t22)) % 0.47/0.63 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t22 @t32))) % 0.47/0.63 (step @p12 :rule symm :premises (@p11)) % 0.47/0.63 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.47/0.63 (step @p14 :rule cong :premises (@p13) :args (@t24)) % 0.47/0.63 (step @p15 :rule eq_resolve :premises (@p5 @p14)) % 0.47/0.63 (step @p16 :rule refl :args (@t33)) % 0.47/0.63 (step @p17 :rule refl :args (@t10)) % 0.47/0.63 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t10 @t33))) % 0.47/0.63 (step @p19 :rule symm :premises (@p18)) % 0.47/0.63 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.47/0.63 (step @p21 :rule refl :args (@t34)) % 0.47/0.63 (step @p22 :rule refl :args (@t12)) % 0.47/0.63 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t12 @t34))) % 0.47/0.63 (step @p24 :rule symm :premises (@p23)) % 0.47/0.63 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.47/0.63 (step @p26 :rule cong :premises (@p25) :args (@t35)) % 0.47/0.63 (step @p27 :rule refl :args (@t36)) % 0.47/0.63 (step @p28 :rule refl :args (@t16)) % 0.47/0.63 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t16 @t36))) % 0.47/0.63 (step @p30 :rule symm :premises (@p29)) % 0.47/0.63 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.47/0.63 (step @p32 :rule cong :premises (@p31) :args (@t37)) % 0.47/0.63 (step @p33 :rule refl :args (@t38)) % 0.47/0.63 (step @p34 :rule refl :args (@t19)) % 0.47/0.63 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t19 @t38))) % 0.47/0.63 (step @p36 :rule symm :premises (@p35)) % 0.47/0.63 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.47/0.63 (step @p38 :rule cong :premises (@p37) :args (@t39)) % 0.47/0.63 (step @p39 :rule nary_cong :premises (@p38 @p32 @p26 @p20) :args (@t40)) % 0.47/0.63 (step @p40 :rule cong :premises (@p39) :args ((forall @t20 @t40))) % 0.47/0.63 (step @p41 :rule aci_norm :args ((= (or @t39 @t41) @t40))) % 0.47/0.63 (step @p42 :rule aci_norm :args ((= (or @t37 (or @t35 @t10)) @t41))) % 0.47/0.63 (step @p43 :rule bool-impl-elim :args (@t12 @t10)) % 0.47/0.63 (step @p44 :rule refl :args (@t37)) % 0.47/0.63 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t37 @t13))) % 0.47/0.63 (step @p46 :rule trans :premises (@p45 @p42)) % 0.47/0.63 (step @p47 :rule bool-impl-elim :args (@t16 @t13)) % 0.47/0.63 (step @p48 :rule trans :premises (@p47 @p46)) % 0.47/0.63 (step @p49 :rule refl :args (@t39)) % 0.47/0.63 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t39 @t17))) % 0.47/0.63 (step @p51 :rule trans :premises (@p50 @p41)) % 0.47/0.63 (step @p52 :rule bool-impl-elim :args (@t19 @t17)) % 0.47/0.63 (step @p53 :rule trans :premises (@p52 @p51)) % 0.47/0.63 (step @p54 :rule cong :premises (@p53) :args (@t21)) % 0.47/0.63 (step @p55 :rule trans :premises (@p54 @p40)) % 0.47/0.63 (step @p56 :rule eq_resolve :premises (@p4 @p55)) % 0.47/0.63 (step @p57 :rule instantiate :premises (@p56) :args ((@list tptp.x tptp.y tptp.x tptp.z))) % 0.47/0.63 (step @p58 :rule refl :args (@t42)) % 0.47/0.63 (step @p59 :rule refl :args (@t25)) % 0.47/0.63 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t25 @t42))) % 0.47/0.63 (step @p61 :rule symm :premises (@p60)) % 0.47/0.63 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.47/0.63 (step @p63 :rule refl :args (@t43)) % 0.47/0.63 (step @p64 :rule refl :args (@t26)) % 0.47/0.63 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t26 @t43))) % 0.47/0.63 (step @p66 :rule symm :premises (@p65)) % 0.47/0.63 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.47/0.63 (step @p68 :rule cong :premises (@p67) :args (@t44)) % 0.47/0.63 (step @p69 :rule nary_cong :premises (@p38 @p68 @p62) :args (@t45)) % 0.47/0.63 (step @p70 :rule cong :premises (@p69) :args ((forall @t28 @t45))) % 0.47/0.63 (step @p71 :rule aci_norm :args ((= (or @t39 (or @t44 @t25)) @t45))) % 0.47/0.63 (step @p72 :rule bool-impl-elim :args (@t26 @t25)) % 0.47/0.63 (step @p73 :rule nary_cong :premises (@p49 @p72) :args ((or @t39 @t27))) % 0.47/0.63 (step @p74 :rule trans :premises (@p73 @p71)) % 0.47/0.63 (step @p75 :rule bool-impl-elim :args (@t19 @t27)) % 0.47/0.63 (step @p76 :rule trans :premises (@p75 @p74)) % 0.47/0.63 (step @p77 :rule cong :premises (@p76) :args (@t29)) % 0.47/0.63 (step @p78 :rule trans :premises (@p77 @p70)) % 0.47/0.63 (step @p79 :rule eq_resolve :premises (@p6 @p78)) % 0.47/0.63 (step @p80 :rule instantiate :premises (@p79) :args ((@list tptp.x tptp.y tptp.z))) % 0.47/0.63 (step @p81 :rule refl :args (@t46)) % 0.47/0.63 (step @p82 :rule refl :args (@t2)) % 0.47/0.63 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t2 @t46))) % 0.47/0.63 (step @p84 :rule symm :premises (@p83)) % 0.47/0.63 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.47/0.63 (step @p86 :rule eq_resolve :premises (@p1 @p85)) % 0.47/0.63 (step @p87 :rule refl :args (@t47)) % 0.47/0.63 (step @p88 :rule refl :args (@t30)) % 0.47/0.63 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t30 @t47))) % 0.47/0.63 (step @p90 :rule symm :premises (@p89)) % 0.47/0.63 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.47/0.63 (step @p92 :rule cong :premises (@p91) :args (@t31)) % 0.47/0.63 (step @p93 :rule eq_resolve :premises (@p7 @p92)) % 0.47/0.63 (step @p94 :rule cnf_or_pos :args (@t51)) % 0.47/0.63 (step @p95 :rule reordering :premises (@p94) :args ((or @t49 @t47 @t50 (not @t51)))) % 0.47/0.63 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p86 @p80) :args (@t49 (@list true false false) (@list @t47 @t46 @t51))) % 0.47/0.63 (step @p97 :rule refl :args (@t52)) % 0.47/0.63 (step @p98 :rule bool-double-not-elim :args (@t48)) % 0.47/0.63 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or (not @t49) @t52))) % 0.47/0.63 (step @p100 :rule refl :args (@t52)) % 0.47/0.63 (step @p101 :rule refl :args (@t3)) % 0.47/0.63 (step @p102 :rule cong :premises (@p101 @p100) :args ((= @t3 @t52))) % 0.47/0.63 (step @p103 :rule symm :premises (@p102)) % 0.47/0.63 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.47/0.63 (step @p105 :rule refl :args (@t48)) % 0.47/0.63 (step @p106 :rule refl :args (@t4)) % 0.47/0.63 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t4 @t48))) % 0.47/0.63 (step @p108 :rule symm :premises (@p107)) % 0.47/0.63 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 0.47/0.63 (step @p110 :rule cong :premises (@p109) :args (@t5)) % 0.47/0.63 (step @p111 :rule cong :premises (@p110 @p104) :args (@t6)) % 0.47/0.63 (step @p112 :rule eq_resolve :premises (@p2 @p111)) % 0.47/0.63 (step @p113 :rule implies_elim :premises (@p112)) % 0.47/0.63 (step @p114 :rule eq_resolve :premises (@p113 @p99)) % 0.47/0.63 (step @p115 :rule reordering :premises (@p114) :args ((or @t52 @t48))) % 0.47/0.63 (step @p116 :rule chain_m_resolution :premises (@p115 @p96) :args (@t52 (@list true) (@list @t48))) % 0.47/0.63 (step @p117 :rule cnf_or_pos :args (@t56)) % 0.47/0.63 (step @p118 :rule reordering :premises (@p117) :args ((or @t47 @t50 @t53 @t55 (not @t56)))) % 0.47/0.63 (step @p119 :rule chain_m_resolution :premises (@p118 @p93 @p86 @p116 @p57) :args (@t55 (@list true false false false) (@list @t47 @t46 @t52 @t56))) % 0.47/0.63 (assume-push @p126 @t57) % 0.47/0.63 (step @p121 :rule instantiate :premises (@p15) :args ((@list tptp.x))) % 0.47/0.63 (step-pop @p127 :rule scope :premises (@p121)) % 0.47/0.63 (step @p122 :rule process_scope :premises (@p127) :args (@t54)) % 0.47/0.63 (step @p124 :rule implies_elim :premises (@p122)) % 0.47/0.63 (step @p125 false :rule chain_m_resolution :premises (@p124 @p119 @p15) :args (false (@list true false) (@list @t54 @t57))) % 0.47/0.63 ) % 0.47/0.63 % SZS output end Proof % 0.47/0.63 % cvc5 exiting %------------------------------------------------------------------------------