%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM759^1 : 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 : 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 08:40:35 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 : NUM759^1 : 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 % 0.15/0.34 % Computer : n019.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 12:14:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----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.eq (-> tptp.frac tptp.frac Bool)) % 0.36/0.56 (declare-const tptp.x tptp.frac) % 0.36/0.56 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 0.36/0.56 (declare-const tptp.z tptp.frac) % 0.36/0.56 (declare-const tptp.y tptp.frac) % 0.36/0.56 (define @t1 () (_ tptp.pf tptp.z)) % 0.36/0.56 (define @t2 () (_ @t1 tptp.y)) % 0.36/0.56 (define @t3 () (_ @t1 tptp.x)) % 0.36/0.56 (define @t4 () (_ (_ tptp.eq @t3) @t2)) % 0.36/0.56 (define @t5 () (@var "Xy" tptp.frac)) % 0.36/0.56 (define @t6 () (@var "Xx" tptp.frac)) % 0.36/0.56 (define @t7 () (_ tptp.eq @t6)) % 0.36/0.56 (define @t8 () (_ @t7 @t5)) % 0.36/0.56 (define @t9 () (@var "Xz" tptp.frac)) % 0.36/0.56 (define @t10 () (_ tptp.pf @t5)) % 0.36/0.56 (define @t11 () (_ @t10 @t9)) % 0.36/0.56 (define @t12 () (_ tptp.pf @t6)) % 0.36/0.56 (define @t13 () (_ @t12 @t9)) % 0.36/0.56 (define @t14 () (_ (_ tptp.eq @t13) @t11)) % 0.36/0.56 (define @t15 () (@list @t6 @t5 @t9)) % 0.36/0.56 (define @t16 () (forall @t15 (=> @t14 @t8))) % 0.36/0.56 (define @t17 () (_ @t7 @t9)) % 0.36/0.56 (define @t18 () (_ (_ tptp.eq @t5) @t9)) % 0.36/0.56 (define @t19 () (=> @t18 @t17)) % 0.36/0.56 (define @t20 () (forall @t15 (=> @t8 @t19))) % 0.36/0.56 (define @t21 () (_ @t10 @t6)) % 0.36/0.56 (define @t22 () (_ @t12 @t5)) % 0.36/0.56 (define @t23 () (_ (_ tptp.eq @t22) @t21)) % 0.36/0.56 (define @t24 () (forall (@list @t6 @t5) @t23)) % 0.36/0.56 (define @t25 () (_ (_ tptp.eq tptp.x) tptp.y)) % 0.36/0.56 (define @t26 () (not @t25)) % 0.36/0.56 (define @t27 () (tptp.eq @t6 @t9)) % 0.36/0.56 (define @t28 () (tptp.eq @t5 @t9)) % 0.36/0.56 (define @t29 () (not @t18)) % 0.36/0.56 (define @t30 () (tptp.eq @t6 @t5)) % 0.36/0.56 (define @t31 () (not @t8)) % 0.36/0.56 (define @t32 () (or @t31 @t29 @t17)) % 0.36/0.56 (define @t33 () (tptp.pf @t5 @t9)) % 0.36/0.56 (define @t34 () (tptp.pf @t6 @t9)) % 0.36/0.56 (define @t35 () (tptp.eq @t34 @t33)) % 0.36/0.56 (define @t36 () (not @t14)) % 0.36/0.56 (define @t37 () (or @t36 @t8)) % 0.36/0.56 (define @t38 () (tptp.eq tptp.x tptp.y)) % 0.36/0.56 (define @t39 () (tptp.pf tptp.y tptp.z)) % 0.36/0.56 (define @t40 () (tptp.pf tptp.x tptp.z)) % 0.36/0.56 (define @t41 () (tptp.eq @t40 @t39)) % 0.36/0.56 (define @t42 () (not @t41)) % 0.36/0.56 (define @t43 () (or @t42 @t38)) % 0.36/0.56 (define @t44 () (@list true false)) % 0.36/0.56 (define @t45 () (tptp.pf tptp.z tptp.y)) % 0.36/0.56 (define @t46 () (tptp.pf tptp.z tptp.x)) % 0.36/0.56 (define @t47 () (tptp.pf @t5 @t6)) % 0.36/0.56 (define @t48 () (tptp.pf @t6 @t5)) % 0.36/0.56 (define @t49 () (tptp.eq @t48 @t47)) % 0.36/0.56 (define @t50 () (tptp.eq @t46 @t45)) % 0.36/0.56 (define @t51 () (tptp.eq @t40 @t45)) % 0.36/0.56 (define @t52 () (not @t50)) % 0.36/0.56 (define @t53 () (tptp.eq @t40 @t46)) % 0.36/0.56 (define @t54 () (not @t53)) % 0.36/0.56 (define @t55 () (or @t54 @t52 @t51)) % 0.36/0.56 (define @t56 () (tptp.eq @t45 @t39)) % 0.36/0.56 (define @t57 () (not @t56)) % 0.36/0.56 (define @t58 () (not @t51)) % 0.36/0.56 (define @t59 () (or @t58 @t57 @t41)) % 0.36/0.56 (define @t60 () (not @t59)) % 0.36/0.56 (define @t61 () (forall @t15 (or (not @t30) (not @t28) @t27))) % 0.36/0.56 (assume @p1 @t4) % 0.36/0.56 (assume @p2 @t16) % 0.36/0.56 (assume @p3 @t20) % 0.36/0.56 (assume @p4 @t24) % 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 (@t17)) % 0.36/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t17 @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 (@t28)) % 0.36/0.56 (step @p13 :rule refl :args (@t18)) % 0.36/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t18 @t28))) % 0.36/0.56 (step @p15 :rule symm :premises (@p14)) % 0.36/0.56 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.36/0.56 (step @p17 :rule cong :premises (@p16) :args (@t29)) % 0.36/0.56 (step @p18 :rule refl :args (@t30)) % 0.36/0.56 (step @p19 :rule refl :args (@t8)) % 0.36/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t8 @t30))) % 0.36/0.56 (step @p21 :rule symm :premises (@p20)) % 0.36/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.36/0.56 (step @p23 :rule cong :premises (@p22) :args (@t31)) % 0.36/0.56 (step @p24 :rule nary_cong :premises (@p23 @p17 @p11) :args (@t32)) % 0.36/0.56 (step @p25 :rule cong :premises (@p24) :args ((forall @t15 @t32))) % 0.36/0.56 (step @p26 :rule aci_norm :args ((= (or @t31 (or @t29 @t17)) @t32))) % 0.36/0.56 (step @p27 :rule bool-impl-elim :args (@t18 @t17)) % 0.36/0.56 (step @p28 :rule refl :args (@t31)) % 0.36/0.56 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t31 @t19))) % 0.36/0.56 (step @p30 :rule trans :premises (@p29 @p26)) % 0.36/0.56 (step @p31 :rule bool-impl-elim :args (@t8 @t19)) % 0.36/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.36/0.56 (step @p33 :rule cong :premises (@p32) :args (@t20)) % 0.36/0.56 (step @p34 :rule trans :premises (@p33 @p25)) % 0.36/0.56 (step @p35 :rule eq_resolve :premises (@p3 @p34)) % 0.36/0.56 (step @p36 :rule refl :args ((tptp.eq @t13 @t11))) % 0.36/0.56 (step @p37 :rule refl :args (@t33)) % 0.36/0.56 (step @p38 :rule refl :args (@t34)) % 0.36/0.56 (step @p39 :rule cong :premises (@p38 @p37) :args (@t35)) % 0.36/0.56 (step @p40 :rule trans :premises (@p39 @p36)) % 0.36/0.56 (step @p41 :rule refl :args (tptp.eq)) % 0.36/0.56 (step @p42 :rule ho_cong :premises (@p41 @p38)) % 0.36/0.56 (step @p43 :rule ho_cong :premises (@p42 @p37)) % 0.36/0.56 (step @p44 :rule cong :premises (@p43 @p40) :args ((= (_ (_ tptp.eq @t34) @t33) @t35))) % 0.36/0.56 (step @p45 :rule symm :premises (@p44)) % 0.36/0.56 (step @p46 :rule refl :args (@t14)) % 0.36/0.56 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.36/0.56 (step @p48 :rule refl :args (@t11)) % 0.36/0.56 (step @p49 :rule cong :premises (@p48 @p37) :args ((= @t11 @t33))) % 0.36/0.56 (step @p50 :rule symm :premises (@p49)) % 0.36/0.56 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.36/0.56 (step @p52 :rule refl :args (@t13)) % 0.36/0.56 (step @p53 :rule cong :premises (@p52 @p38) :args ((= @t13 @t34))) % 0.36/0.56 (step @p54 :rule symm :premises (@p53)) % 0.36/0.56 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.36/0.56 (step @p56 :rule ho_cong :premises (@p41 @p55)) % 0.36/0.56 (step @p57 :rule ho_cong :premises (@p56 @p51)) % 0.36/0.56 (step @p58 :rule trans :premises (@p57 @p47)) % 0.36/0.56 (step @p59 :rule cong :premises (@p58) :args (@t36)) % 0.36/0.56 (step @p60 :rule nary_cong :premises (@p59 @p22) :args (@t37)) % 0.36/0.56 (step @p61 :rule cong :premises (@p60) :args ((forall @t15 @t37))) % 0.36/0.56 (step @p62 :rule bool-impl-elim :args (@t14 @t8)) % 0.36/0.56 (step @p63 :rule cong :premises (@p62) :args (@t16)) % 0.36/0.56 (step @p64 :rule trans :premises (@p63 @p61)) % 0.36/0.56 (step @p65 :rule eq_resolve :premises (@p2 @p64)) % 0.36/0.56 (step @p66 :rule instantiate :premises (@p65) :args ((@list tptp.x tptp.y tptp.z))) % 0.36/0.56 (step @p67 :rule refl :args (@t38)) % 0.36/0.56 (step @p68 :rule refl :args (@t25)) % 0.36/0.56 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t25 @t38))) % 0.36/0.56 (step @p70 :rule symm :premises (@p69)) % 0.36/0.56 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.36/0.56 (step @p72 :rule cong :premises (@p71) :args (@t26)) % 0.36/0.56 (step @p73 :rule eq_resolve :premises (@p5 @p72)) % 0.36/0.56 (step @p74 :rule cnf_or_pos :args (@t43)) % 0.36/0.56 (step @p75 :rule reordering :premises (@p74) :args ((or @t38 @t42 (not @t43)))) % 0.36/0.56 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p66) :args (@t42 @t44 (@list @t38 @t43))) % 0.36/0.56 (step @p77 :rule instantiate :premises (@p35) :args ((@list @t40 @t46 @t45))) % 0.36/0.56 (step @p78 :rule refl :args ((tptp.eq @t22 @t21))) % 0.36/0.56 (step @p79 :rule refl :args (@t47)) % 0.36/0.56 (step @p80 :rule refl :args (@t48)) % 0.36/0.56 (step @p81 :rule cong :premises (@p80 @p79) :args (@t49)) % 0.36/0.56 (step @p82 :rule trans :premises (@p81 @p78)) % 0.36/0.56 (step @p83 :rule ho_cong :premises (@p41 @p80)) % 0.36/0.56 (step @p84 :rule ho_cong :premises (@p83 @p79)) % 0.36/0.56 (step @p85 :rule cong :premises (@p84 @p82) :args ((= (_ (_ tptp.eq @t48) @t47) @t49))) % 0.36/0.56 (step @p86 :rule symm :premises (@p85)) % 0.36/0.56 (step @p87 :rule refl :args (@t23)) % 0.36/0.56 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.36/0.56 (step @p89 :rule refl :args (@t21)) % 0.36/0.56 (step @p90 :rule cong :premises (@p89 @p79) :args ((= @t21 @t47))) % 0.36/0.56 (step @p91 :rule symm :premises (@p90)) % 0.36/0.56 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 0.36/0.56 (step @p93 :rule refl :args (@t22)) % 0.36/0.56 (step @p94 :rule cong :premises (@p93 @p80) :args ((= @t22 @t48))) % 0.36/0.56 (step @p95 :rule symm :premises (@p94)) % 0.36/0.56 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.36/0.56 (step @p97 :rule ho_cong :premises (@p41 @p96)) % 0.36/0.56 (step @p98 :rule ho_cong :premises (@p97 @p92)) % 0.36/0.56 (step @p99 :rule trans :premises (@p98 @p88)) % 0.36/0.56 (step @p100 :rule cong :premises (@p99) :args (@t24)) % 0.36/0.56 (step @p101 :rule eq_resolve :premises (@p4 @p100)) % 0.36/0.56 (step @p102 :rule instantiate :premises (@p101) :args ((@list tptp.x tptp.z))) % 0.36/0.56 (step @p103 :rule refl :args ((tptp.eq @t3 @t2))) % 0.36/0.56 (step @p104 :rule refl :args (@t45)) % 0.36/0.56 (step @p105 :rule refl :args (@t46)) % 0.36/0.56 (step @p106 :rule cong :premises (@p105 @p104) :args (@t50)) % 0.36/0.56 (step @p107 :rule trans :premises (@p106 @p103)) % 0.36/0.56 (step @p108 :rule ho_cong :premises (@p41 @p105)) % 0.36/0.56 (step @p109 :rule ho_cong :premises (@p108 @p104)) % 0.36/0.56 (step @p110 :rule cong :premises (@p109 @p107) :args ((= (_ (_ tptp.eq @t46) @t45) @t50))) % 0.36/0.56 (step @p111 :rule symm :premises (@p110)) % 0.36/0.56 (step @p112 :rule refl :args (@t4)) % 0.36/0.56 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.36/0.56 (step @p114 :rule refl :args (@t2)) % 0.36/0.56 (step @p115 :rule cong :premises (@p114 @p104) :args ((= @t2 @t45))) % 0.36/0.56 (step @p116 :rule symm :premises (@p115)) % 0.36/0.56 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 0.36/0.56 (step @p118 :rule refl :args (@t3)) % 0.36/0.56 (step @p119 :rule cong :premises (@p118 @p105) :args ((= @t3 @t46))) % 0.36/0.56 (step @p120 :rule symm :premises (@p119)) % 0.36/0.56 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 0.36/0.56 (step @p122 :rule refl :args (tptp.eq)) % 0.36/0.56 (step @p123 :rule ho_cong :premises (@p122 @p121)) % 0.36/0.56 (step @p124 :rule ho_cong :premises (@p123 @p117)) % 0.36/0.56 (step @p125 :rule trans :premises (@p124 @p113)) % 0.36/0.56 (step @p126 :rule eq_resolve :premises (@p1 @p125)) % 0.36/0.56 (step @p127 :rule cnf_or_pos :args (@t55)) % 0.36/0.56 (step @p128 :rule reordering :premises (@p127) :args ((or @t52 @t54 @t51 (not @t55)))) % 0.36/0.56 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p102 @p77) :args (@t51 (@list false false false) (@list @t50 @t53 @t55))) % 0.36/0.56 (step @p130 :rule instantiate :premises (@p101) :args ((@list tptp.z tptp.y))) % 0.36/0.56 (step @p131 :rule cnf_or_pos :args (@t59)) % 0.36/0.56 (step @p132 :rule reordering :premises (@p131) :args ((or @t57 @t58 @t41 @t60))) % 0.36/0.56 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p129 @p76) :args (@t60 (@list false false true) (@list @t56 @t51 @t41))) % 0.36/0.56 (assume-push @p140 @t61) % 0.36/0.56 (step @p135 :rule instantiate :premises (@p35) :args ((@list @t40 @t45 @t39))) % 0.36/0.56 (step-pop @p141 :rule scope :premises (@p135)) % 0.36/0.56 (step @p136 :rule process_scope :premises (@p141) :args (@t59)) % 0.36/0.56 (step @p138 :rule implies_elim :premises (@p136)) % 0.36/0.56 (step @p139 false :rule chain_m_resolution :premises (@p138 @p133 @p35) :args (false @t44 (@list @t59 @t61))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------