%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL003-17 : TPTP v9.2.1. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:09:43 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : COL003-17 : TPTP v9.2.1. Released v2.1.0. % 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.13/0.31 % Computer : n015.cluster.edu % 0.13/0.31 % Model : x86_64 x86_64 % 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.31 % Memory : 8042.1875MB % 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.31 % CPULimit : 300 % 0.13/0.31 % WCLimit : 300 % 0.13/0.31 % DateTime : Mon Jun 1 20:17:04 EDT 2026 % 0.13/0.31 % CPUTime : % 0.16/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Unsatisfiable % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.fixed_pt $$unsorted) % 0.37/0.62 (declare-const tptp.strong_fixed_point $$unsorted) % 0.37/0.62 (declare-const tptp.w $$unsorted) % 0.37/0.62 (declare-const tptp.b $$unsorted) % 0.37/0.62 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (define @t1 () (@var "Z" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "Y" $$unsorted)) % 0.37/0.62 (define @t3 () (@var "X" $$unsorted)) % 0.37/0.62 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.apply (tptp.apply (tptp.apply tptp.b @t3) @t2) @t1) (tptp.apply @t3 (tptp.apply @t2 @t1))))) % 0.37/0.62 (define @t5 () (tptp.apply tptp.b tptp.w)) % 0.37/0.62 (define @t6 () (tptp.apply tptp.w tptp.w)) % 0.37/0.62 (define @t7 () (tptp.apply (tptp.apply tptp.b @t6) @t5)) % 0.37/0.62 (define @t8 () (tptp.apply (tptp.apply tptp.b @t7) tptp.b)) % 0.37/0.62 (define @t9 () (tptp.apply (tptp.apply tptp.b @t8) tptp.b)) % 0.37/0.62 (define @t10 () (= tptp.strong_fixed_point @t9)) % 0.37/0.62 (define @t11 () (tptp.apply tptp.strong_fixed_point tptp.fixed_pt)) % 0.37/0.62 (define @t12 () (= @t11 (tptp.apply tptp.fixed_pt @t11))) % 0.37/0.62 (define @t13 () (not @t12)) % 0.37/0.62 (define @t14 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.37/0.62 (define @t15 () (tptp.apply tptp.b @t14)) % 0.37/0.62 (define @t16 () (tptp.apply (tptp.apply tptp.b @t5) tptp.b)) % 0.37/0.62 (define @t17 () (tptp.apply @t16 @t14)) % 0.37/0.62 (define @t18 () (tptp.apply @t5 @t15)) % 0.37/0.62 (define @t19 () (= @t17 @t18)) % 0.37/0.62 (define @t20 () (@list @t5 tptp.b @t14)) % 0.37/0.62 (define @t21 () (= @t18 @t17)) % 0.37/0.62 (define @t22 () (@list false)) % 0.37/0.62 (define @t23 () (@list @t4)) % 0.37/0.62 (define @t24 () (tptp.apply (tptp.apply (tptp.apply tptp.b @t16) tptp.b) tptp.fixed_pt)) % 0.37/0.62 (define @t25 () (= @t24 @t17)) % 0.37/0.62 (define @t26 () (@list @t16 tptp.b tptp.fixed_pt)) % 0.37/0.62 (define @t27 () (= @t17 @t24)) % 0.37/0.62 (define @t28 () (tptp.apply @t18 @t18)) % 0.37/0.62 (define @t29 () (tptp.apply @t15 @t18)) % 0.37/0.62 (define @t30 () (tptp.apply @t29 @t18)) % 0.37/0.62 (define @t31 () (tptp.apply @t14 @t28)) % 0.37/0.62 (define @t32 () (= @t30 @t31)) % 0.37/0.62 (define @t33 () (@list @t14 @t18 @t18)) % 0.37/0.62 (define @t34 () (= @t31 @t30)) % 0.37/0.62 (define @t35 () (tptp.apply @t30 @t18)) % 0.37/0.62 (define @t36 () (tptp.apply tptp.w @t29)) % 0.37/0.62 (define @t37 () (tptp.apply @t36 @t18)) % 0.37/0.62 (define @t38 () (= @t37 @t35)) % 0.37/0.62 (define @t39 () (not @t38)) % 0.37/0.62 (define @t40 () (not @t34)) % 0.37/0.62 (define @t41 () (tptp.apply @t28 @t18)) % 0.37/0.62 (define @t42 () (tptp.apply tptp.fixed_pt @t41)) % 0.37/0.62 (define @t43 () (= (tptp.apply @t31 @t18) @t42)) % 0.37/0.62 (define @t44 () (not @t43)) % 0.37/0.62 (define @t45 () (= @t28 @t36)) % 0.37/0.62 (define @t46 () (not @t45)) % 0.37/0.62 (define @t47 () (tptp.apply (tptp.apply tptp.w @t18) @t18)) % 0.37/0.62 (define @t48 () (= @t47 @t41)) % 0.37/0.62 (define @t49 () (not @t48)) % 0.37/0.62 (define @t50 () (not @t27)) % 0.37/0.62 (define @t51 () (tptp.apply @t6 @t18)) % 0.37/0.62 (define @t52 () (= @t51 @t47)) % 0.37/0.62 (define @t53 () (not @t52)) % 0.37/0.62 (define @t54 () (not @t21)) % 0.37/0.62 (define @t55 () (tptp.apply @t7 @t15)) % 0.37/0.62 (define @t56 () (= @t55 @t51)) % 0.37/0.62 (define @t57 () (not @t56)) % 0.37/0.62 (define @t58 () (tptp.apply @t8 @t14)) % 0.37/0.62 (define @t59 () (= @t58 @t55)) % 0.37/0.62 (define @t60 () (not @t59)) % 0.37/0.62 (define @t61 () (tptp.apply @t9 tptp.fixed_pt)) % 0.37/0.62 (define @t62 () (= @t61 @t58)) % 0.37/0.62 (define @t63 () (not @t62)) % 0.37/0.62 (define @t64 () (not @t10)) % 0.37/0.62 (define @t65 () (and @t10 @t13 @t62 @t59 @t56 @t21 @t52 @t27 @t48 @t45 @t43 @t34)) % 0.37/0.62 (assume @p1 @t4) % 0.37/0.62 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w @t3) @t2) (tptp.apply (tptp.apply @t3 @t2) @t2)))) % 0.37/0.62 (assume @p3 @t10) % 0.37/0.62 (assume @p4 @t13) % 0.37/0.62 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t8 tptp.b tptp.fixed_pt))) % 0.37/0.62 (step @p6 :rule instantiate :premises (@p1) :args ((@list @t7 tptp.b @t14))) % 0.37/0.62 (step @p7 :rule instantiate :premises (@p1) :args ((@list @t6 @t5 @t15))) % 0.37/0.62 (step @p8 :rule eq-symm :args (@t17 @t18)) % 0.37/0.62 (step @p9 :rule refl :args (@t4)) % 0.37/0.62 (step @p10 :rule cong :premises (@p9 @p8) :args ((=> @t4 @t19))) % 0.37/0.62 (assume-push @p112 @t4) % 0.37/0.62 (step @p12 :rule instantiate :premises (@p1) :args (@t20)) % 0.37/0.62 (step-pop @p113 :rule scope :premises (@p12)) % 0.37/0.62 (step @p13 :rule process_scope :premises (@p113) :args (@t19)) % 0.37/0.62 (step @p15 :rule eq_resolve :premises (@p13 @p10)) % 0.37/0.62 (step @p16 :rule implies_elim :premises (@p15)) % 0.37/0.62 (step @p17 :rule chain_m_resolution :premises (@p16 @p1) :args (@t21 @t22 @t23)) % 0.37/0.62 (step @p18 :rule instantiate :premises (@p2) :args ((@list tptp.w @t18))) % 0.37/0.62 (step @p19 :rule eq-symm :args (@t24 @t17)) % 0.37/0.62 (step @p20 :rule cong :premises (@p9 @p19) :args ((=> @t4 @t25))) % 0.37/0.62 (assume-push @p114 @t4) % 0.37/0.62 (step @p22 :rule instantiate :premises (@p1) :args (@t26)) % 0.37/0.62 (step-pop @p115 :rule scope :premises (@p22)) % 0.37/0.62 (step @p23 :rule process_scope :premises (@p115) :args (@t25)) % 0.37/0.62 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.37/0.62 (step @p26 :rule implies_elim :premises (@p25)) % 0.37/0.62 (step @p27 :rule chain_m_resolution :premises (@p26 @p1) :args (@t27 @t22 @t23)) % 0.37/0.62 (step @p28 :rule instantiate :premises (@p2) :args ((@list @t18 @t18))) % 0.37/0.62 (step @p29 :rule instantiate :premises (@p1) :args ((@list tptp.w @t15 @t18))) % 0.37/0.62 (step @p30 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t28 @t18))) % 0.37/0.62 (step @p31 :rule eq-symm :args (@t30 @t31)) % 0.37/0.62 (step @p32 :rule cong :premises (@p9 @p31) :args ((=> @t4 @t32))) % 0.37/0.62 (assume-push @p116 @t4) % 0.37/0.62 (step @p34 :rule instantiate :premises (@p1) :args (@t33)) % 0.37/0.62 (step-pop @p117 :rule scope :premises (@p34)) % 0.37/0.62 (step @p35 :rule process_scope :premises (@p117) :args (@t32)) % 0.37/0.62 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 0.37/0.62 (step @p38 :rule implies_elim :premises (@p37)) % 0.37/0.62 (step @p39 :rule chain_m_resolution :premises (@p38 @p1) :args (@t34 @t22 @t23)) % 0.37/0.62 (step @p40 :rule instantiate :premises (@p2) :args ((@list @t29 @t18))) % 0.37/0.62 (step @p41 :rule refl :args (@t39)) % 0.37/0.62 (step @p42 :rule refl :args (@t40)) % 0.37/0.62 (step @p43 :rule refl :args (@t44)) % 0.37/0.62 (step @p44 :rule refl :args (@t46)) % 0.37/0.62 (step @p45 :rule refl :args (@t49)) % 0.37/0.62 (step @p46 :rule refl :args (@t50)) % 0.37/0.62 (step @p47 :rule refl :args (@t53)) % 0.37/0.62 (step @p48 :rule refl :args (@t54)) % 0.37/0.62 (step @p49 :rule refl :args (@t57)) % 0.37/0.62 (step @p50 :rule refl :args (@t60)) % 0.37/0.62 (step @p51 :rule refl :args (@t63)) % 0.37/0.62 (step @p52 :rule bool-double-not-elim :args (@t12)) % 0.37/0.62 (step @p53 :rule refl :args (@t64)) % 0.37/0.62 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41) :args ((or @t64 (not @t13) @t63 @t60 @t57 @t54 @t53 @t50 @t49 @t46 @t44 @t40 @t39))) % 0.37/0.62 (assume-push @p118 @t10) % 0.37/0.62 (assume-push @p119 @t13) % 0.37/0.62 (assume-push @p120 @t62) % 0.37/0.62 (assume-push @p121 @t59) % 0.37/0.62 (assume-push @p122 @t56) % 0.37/0.62 (assume-push @p123 @t21) % 0.37/0.62 (assume-push @p124 @t52) % 0.37/0.62 (assume-push @p125 @t27) % 0.37/0.62 (assume-push @p126 @t48) % 0.37/0.62 (assume-push @p127 @t45) % 0.37/0.62 (assume-push @p128 @t43) % 0.37/0.62 (assume-push @p129 @t34) % 0.37/0.62 (step @p67 :rule false_intro :premises (@p4)) % 0.37/0.62 (step @p68 :rule refl :args (tptp.fixed_pt)) % 0.37/0.62 (step @p69 :rule symm :premises (@p3)) % 0.37/0.62 (step @p70 :rule cong :premises (@p69 @p68) :args (@t61)) % 0.37/0.62 (step @p71 :rule symm :premises (@p5)) % 0.37/0.62 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.62 (step @p73 :rule cong :premises (@p68 @p72) :args ((tptp.apply tptp.fixed_pt @t58))) % 0.37/0.62 (step @p74 :rule symm :premises (@p6)) % 0.37/0.62 (step @p75 :rule symm :premises (@p7)) % 0.37/0.62 (step @p76 :rule symm :premises (@p18)) % 0.37/0.62 (step @p77 :rule symm :premises (@p28)) % 0.37/0.62 (step @p78 :rule trans :premises (@p77 @p76 @p75 @p74)) % 0.37/0.62 (step @p79 :rule cong :premises (@p68 @p78) :args (@t42)) % 0.37/0.62 (step @p80 :rule refl :args (@t18)) % 0.37/0.62 (step @p34 :rule instantiate :premises (@p1) :args (@t33)) % 0.37/0.62 (step @p81 :rule cong :premises (@p34 @p80) :args (@t35)) % 0.37/0.62 (step @p82 :rule trans :premises (@p81 @p30 @p79 @p73)) % 0.37/0.62 (step @p12 :rule instantiate :premises (@p1) :args (@t20)) % 0.37/0.62 (step @p22 :rule instantiate :premises (@p1) :args (@t26)) % 0.37/0.62 (step @p83 :rule trans :premises (@p22 @p12)) % 0.37/0.62 (step @p84 :rule refl :args (@t28)) % 0.37/0.62 (step @p85 :rule cong :premises (@p84 @p83) :args ((tptp.apply @t28 @t24))) % 0.37/0.62 (step @p86 :rule symm :premises (@p83)) % 0.37/0.62 (step @p87 :rule symm :premises (@p29)) % 0.37/0.62 (step @p88 :rule cong :premises (@p87 @p86) :args (@t37)) % 0.37/0.62 (step @p89 :rule trans :premises (@p88 @p85 @p77 @p76 @p75 @p74 @p71 @p70)) % 0.37/0.62 (step @p90 :rule cong :premises (@p89 @p82) :args (@t38)) % 0.37/0.62 (step @p91 :rule trans :premises (@p90 @p67)) % 0.37/0.62 (step @p92 :rule false_elim :premises (@p91)) % 0.37/0.62 (step-pop @p130 :rule scope :premises (@p92)) % 0.37/0.62 (step-pop @p131 :rule scope :premises (@p130)) % 0.37/0.62 (step-pop @p132 :rule scope :premises (@p131)) % 0.37/0.62 (step-pop @p133 :rule scope :premises (@p132)) % 0.37/0.62 (step-pop @p134 :rule scope :premises (@p133)) % 0.37/0.62 (step-pop @p135 :rule scope :premises (@p134)) % 0.37/0.62 (step-pop @p136 :rule scope :premises (@p135)) % 0.37/0.62 (step-pop @p137 :rule scope :premises (@p136)) % 0.37/0.62 (step-pop @p138 :rule scope :premises (@p137)) % 0.37/0.62 (step-pop @p139 :rule scope :premises (@p138)) % 0.37/0.62 (step-pop @p140 :rule scope :premises (@p139)) % 0.37/0.62 (step-pop @p141 :rule scope :premises (@p140)) % 0.37/0.62 (step @p93 :rule process_scope :premises (@p141) :args (@t39)) % 0.37/0.62 (step @p106 :rule implies_elim :premises (@p93)) % 0.37/0.62 (step @p107 :rule cnf_and_neg :args (@t65)) % 0.37/0.62 (step @p108 :rule resolution :premises (@p107 @p106) :args (true @t65)) % 0.37/0.62 (step @p109 :rule eq_resolve :premises (@p108 @p54)) % 0.37/0.62 (step @p110 :rule reordering :premises (@p109) :args ((or @t12 @t64 @t63 @t60 @t57 @t54 @t53 @t50 @t49 @t46 @t44 @t40 @t39))) % 0.37/0.62 (step @p111 false :rule chain_m_resolution :premises (@p110 @p40 @p39 @p30 @p29 @p28 @p27 @p18 @p17 @p7 @p6 @p5 @p4 @p3) :args (false (@list false false false false false false false false false false false true false) (@list @t38 @t34 @t43 @t45 @t48 @t27 @t52 @t21 @t56 @t59 @t62 @t12 @t10))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------