%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV281-2 : TPTP v9.2.1. Released v3.2.0. % 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 09:00:57 AM UTC 2026 % Result : Unsatisfiable 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV281-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % 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 20:01:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.59 % SZS status Unsatisfiable % 0.41/0.59 % SZS output start Proof % 0.41/0.60 ( % 0.41/0.60 (declare-sort $$unsorted 0) % 0.41/0.60 (declare-const tptp.v_sko__urX (-> $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.c_0 $$unsorted) % 0.41/0.60 (declare-const tptp.tc_nat $$unsorted) % 0.41/0.60 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.v_evs_H $$unsorted) % 0.41/0.60 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.c_Event_Oused (-> $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.v_evs $$unsorted) % 0.41/0.60 (declare-const tptp.c_List_Olist_ONil $$unsorted) % 0.41/0.60 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.41/0.60 (define @t1 () (tptp.c_Event_Oused tptp.v_evs)) % 0.41/0.60 (define @t2 () (@var "V_U" $$unsorted)) % 0.41/0.60 (define @t3 () (tptp.c_Message_Omsg_ONonce @t2)) % 0.41/0.60 (define @t4 () (tptp.c_Event_Oused tptp.v_evs_H)) % 0.41/0.60 (define @t5 () (@var "V_V" $$unsorted)) % 0.41/0.60 (define @t6 () (forall (@list @t2 @t5) (or (= @t2 @t5) (tptp.c_in (tptp.c_Message_Omsg_ONonce @t5) @t4 tptp.tc_Message_Omsg) (tptp.c_in @t3 @t1 tptp.tc_Message_Omsg)))) % 0.41/0.60 (define @t7 () (@var "T_a" $$unsorted)) % 0.41/0.60 (define @t8 () (@var "V_list_H" $$unsorted)) % 0.41/0.60 (define @t9 () (@var "V_a_H" $$unsorted)) % 0.41/0.60 (define @t10 () (@var "V_n" $$unsorted)) % 0.41/0.60 (define @t11 () (@var "V_m" $$unsorted)) % 0.41/0.60 (define @t12 () (@var "V_k" $$unsorted)) % 0.41/0.60 (define @t13 () (not (= (tptp.c_plus @t11 @t12 tptp.tc_nat) (tptp.c_plus @t10 @t12 tptp.tc_nat)))) % 0.41/0.60 (define @t14 () (or @t13 (= @t11 @t10))) % 0.41/0.60 (define @t15 () (@list @t11 @t12 @t10)) % 0.41/0.60 (define @t16 () (forall @t15 @t14)) % 0.41/0.60 (define @t17 () (@var "V_y" $$unsorted)) % 0.41/0.60 (define @t18 () (tptp.c_plus tptp.c_0 @t17 tptp.tc_nat)) % 0.41/0.60 (define @t19 () (forall (@list @t17) (= @t18 @t17))) % 0.41/0.60 (define @t20 () (@var "V_evs" $$unsorted)) % 0.41/0.60 (define @t21 () (tptp.v_sko__urX tptp.v_evs_H)) % 0.41/0.60 (define @t22 () (tptp.c_plus tptp.c_List_Olist_ONil @t21 tptp.tc_nat)) % 0.41/0.60 (define @t23 () (tptp.c_lessequals @t21 @t22 tptp.tc_nat)) % 0.41/0.60 (define @t24 () (not @t23)) % 0.41/0.60 (define @t25 () (tptp.c_in (tptp.c_Message_Omsg_ONonce @t22) @t4 tptp.tc_Message_Omsg)) % 0.41/0.60 (define @t26 () (not @t25)) % 0.41/0.60 (define @t27 () (or @t26 @t24)) % 0.41/0.60 (define @t28 () (@list false false)) % 0.41/0.60 (define @t29 () (@const 0 $$unsorted)) % 0.41/0.60 (define @t30 () (tptp.c_List_Olist_OCons @t29 @t29 @t29)) % 0.41/0.60 (define @t31 () (tptp.c_plus @t30 @t21 tptp.tc_nat)) % 0.41/0.60 (define @t32 () (tptp.c_plus tptp.c_0 @t21 tptp.tc_nat)) % 0.41/0.60 (define @t33 () (= @t32 @t31)) % 0.41/0.60 (define @t34 () (not @t33)) % 0.41/0.60 (define @t35 () (or @t34 (= @t30 tptp.c_0))) % 0.41/0.60 (define @t36 () (forall @t15 (or @t13 (= @t10 @t11)))) % 0.41/0.60 (define @t37 () (= tptp.c_0 @t30)) % 0.41/0.60 (define @t38 () (or @t34 @t37)) % 0.41/0.60 (define @t39 () (@list false)) % 0.41/0.60 (define @t40 () (tptp.c_in (tptp.c_Message_Omsg_ONonce @t31) @t1 tptp.tc_Message_Omsg)) % 0.41/0.60 (define @t41 () (tptp.c_Message_Omsg_ONonce @t32)) % 0.41/0.60 (define @t42 () (tptp.c_in @t41 @t4 tptp.tc_Message_Omsg)) % 0.41/0.60 (define @t43 () (or (= @t31 @t32) @t42 @t40)) % 0.41/0.60 (define @t44 () (or @t33 @t42 @t40)) % 0.41/0.60 (define @t45 () (@list @t6)) % 0.41/0.60 (define @t46 () (tptp.v_sko__urX tptp.v_evs)) % 0.41/0.60 (define @t47 () (tptp.c_plus tptp.c_0 @t46 tptp.tc_nat)) % 0.41/0.60 (define @t48 () (tptp.c_in (tptp.c_Message_Omsg_ONonce @t47) @t1 tptp.tc_Message_Omsg)) % 0.41/0.60 (define @t49 () (or (= @t47 @t32) @t42 @t48)) % 0.41/0.60 (define @t50 () (= @t32 @t47)) % 0.41/0.60 (define @t51 () (or @t50 @t42 @t48)) % 0.41/0.60 (define @t52 () (tptp.c_lessequals @t46 @t47 tptp.tc_nat)) % 0.41/0.60 (define @t53 () (not @t52)) % 0.41/0.60 (define @t54 () (not @t48)) % 0.41/0.60 (define @t55 () (or @t54 @t53)) % 0.41/0.60 (define @t56 () (tptp.c_lessequals @t21 @t32 tptp.tc_nat)) % 0.41/0.60 (define @t57 () (not @t56)) % 0.41/0.60 (define @t58 () (not @t42)) % 0.41/0.60 (define @t59 () (or @t58 @t57)) % 0.41/0.60 (define @t60 () (@list true true false)) % 0.41/0.60 (define @t61 () (tptp.c_lessequals @t46 @t31 tptp.tc_nat)) % 0.41/0.60 (define @t62 () (not @t61)) % 0.41/0.60 (define @t63 () (not @t40)) % 0.41/0.60 (define @t64 () (or @t63 @t62)) % 0.41/0.60 (define @t65 () (= tptp.c_List_Olist_ONil tptp.c_0)) % 0.41/0.60 (define @t66 () (= @t32 @t22)) % 0.41/0.60 (define @t67 () (not @t66)) % 0.41/0.60 (define @t68 () (or @t67 @t65)) % 0.41/0.60 (define @t69 () (@list true false)) % 0.41/0.60 (define @t70 () (tptp.c_in @t41 @t1 tptp.tc_Message_Omsg)) % 0.41/0.60 (define @t71 () (or @t66 @t25 @t70)) % 0.41/0.60 (define @t72 () (not @t71)) % 0.41/0.60 (assume @p1 @t6) % 0.41/0.60 (assume @p2 (forall (@list @t9 @t8 @t7) (not (= tptp.c_List_Olist_ONil (tptp.c_List_Olist_OCons @t9 @t8 @t7))))) % 0.41/0.60 (assume @p3 (forall (@list @t10 @t11) (tptp.c_lessequals @t10 (tptp.c_plus @t11 @t10 tptp.tc_nat) tptp.tc_nat))) % 0.41/0.60 (assume @p4 @t16) % 0.41/0.60 (assume @p5 @t19) % 0.41/0.60 (assume @p6 (forall (@list @t2 @t20) (or (not (tptp.c_in @t3 (tptp.c_Event_Oused @t20) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.v_sko__urX @t20) @t2 tptp.tc_nat))))) % 0.41/0.60 (step @p7 :rule instantiate :premises (@p6) :args ((@list @t22 tptp.v_evs_H))) % 0.41/0.60 (step @p8 :rule instantiate :premises (@p3) :args ((@list @t21 tptp.c_List_Olist_ONil))) % 0.41/0.60 (step @p9 :rule cnf_or_pos :args (@t27)) % 0.41/0.60 (step @p10 :rule reordering :premises (@p9) :args ((or @t24 @t26 (not @t27)))) % 0.41/0.60 (step @p11 :rule chain_m_resolution :premises (@p10 @p8 @p7) :args (@t26 @t28 (@list @t23 @t27))) % 0.41/0.60 (step @p12 :rule eq-symm :args (@t11 @t10)) % 0.41/0.60 (step @p13 :rule refl :args (@t13)) % 0.41/0.60 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t14)) % 0.41/0.60 (step @p15 :rule cong :premises (@p14) :args (@t16)) % 0.41/0.60 (step @p16 :rule eq_resolve :premises (@p4 @p15)) % 0.41/0.60 (step @p17 :rule instantiate :premises (@p16) :args ((@list tptp.c_0 @t21 tptp.c_List_Olist_ONil))) % 0.41/0.60 (step @p18 :rule instantiate :premises (@p2) :args ((@list @t29 @t29 @t29))) % 0.41/0.60 (step @p19 :rule false_intro :premises (@p18)) % 0.41/0.60 (step @p20 :rule eq-symm :args (@t30 tptp.c_0)) % 0.41/0.60 (step @p21 :rule refl :args (@t34)) % 0.41/0.60 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t35)) % 0.41/0.60 (step @p23 :rule refl :args (@t36)) % 0.41/0.60 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t36 @t35))) % 0.41/0.60 (assume-push @p117 @t36) % 0.41/0.60 (step @p26 :rule instantiate :premises (@p16) :args ((@list tptp.c_0 @t21 @t30))) % 0.41/0.60 (step-pop @p118 :rule scope :premises (@p26)) % 0.41/0.60 (step @p27 :rule process_scope :premises (@p118) :args (@t35)) % 0.41/0.60 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.41/0.60 (step @p30 :rule implies_elim :premises (@p29)) % 0.41/0.60 (step @p31 :rule chain_m_resolution :premises (@p30 @p16) :args (@t38 @t39 (@list @t36))) % 0.41/0.60 (step @p32 :rule refl :args (@t40)) % 0.41/0.60 (step @p33 :rule refl :args (@t42)) % 0.41/0.60 (step @p34 :rule eq-symm :args (@t31 @t32)) % 0.41/0.60 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args (@t43)) % 0.41/0.60 (step @p36 :rule refl :args (@t6)) % 0.41/0.60 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t6 @t43))) % 0.41/0.60 (assume-push @p119 @t6) % 0.41/0.60 (step @p39 :rule instantiate :premises (@p1) :args ((@list @t31 @t32))) % 0.41/0.60 (step-pop @p120 :rule scope :premises (@p39)) % 0.41/0.60 (step @p40 :rule process_scope :premises (@p120) :args (@t43)) % 0.41/0.60 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.41/0.60 (step @p43 :rule implies_elim :premises (@p42)) % 0.41/0.60 (step @p44 :rule chain_m_resolution :premises (@p43 @p1) :args (@t44 @t39 @t45)) % 0.41/0.60 (step @p45 :rule instantiate :premises (@p6) :args ((@list @t31 tptp.v_evs))) % 0.41/0.60 (step @p46 :rule instantiate :premises (@p3) :args ((@list @t21 @t30))) % 0.41/0.60 (step @p47 :rule true_intro :premises (@p46)) % 0.41/0.60 (step @p48 :rule refl :args (tptp.tc_nat)) % 0.41/0.60 (step @p49 :rule refl :args (@t31)) % 0.41/0.60 (step @p50 :rule eq-symm :args (@t18 @t17)) % 0.41/0.60 (step @p51 :rule cong :premises (@p50) :args (@t19)) % 0.41/0.60 (step @p52 :rule eq_resolve :premises (@p5 @p51)) % 0.41/0.60 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t21))) % 0.41/0.60 (step @p54 :rule symm :premises (@p53)) % 0.41/0.60 (step @p55 :rule refl :args (@t48)) % 0.41/0.60 (step @p56 :rule eq-symm :args (@t47 @t32)) % 0.41/0.60 (step @p57 :rule nary_cong :premises (@p56 @p33 @p55) :args (@t49)) % 0.41/0.60 (step @p58 :rule cong :premises (@p36 @p57) :args ((=> @t6 @t49))) % 0.41/0.60 (assume-push @p121 @t6) % 0.41/0.60 (step @p60 :rule instantiate :premises (@p1) :args ((@list @t47 @t32))) % 0.41/0.60 (step-pop @p122 :rule scope :premises (@p60)) % 0.41/0.60 (step @p61 :rule process_scope :premises (@p122) :args (@t49)) % 0.41/0.60 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.41/0.60 (step @p64 :rule implies_elim :premises (@p63)) % 0.41/0.60 (step @p65 :rule chain_m_resolution :premises (@p64 @p1) :args (@t51 @t39 @t45)) % 0.41/0.60 (step @p66 :rule instantiate :premises (@p6) :args ((@list @t47 tptp.v_evs))) % 0.41/0.60 (step @p67 :rule instantiate :premises (@p3) :args ((@list @t46 tptp.c_0))) % 0.41/0.60 (step @p68 :rule cnf_or_pos :args (@t55)) % 0.41/0.60 (step @p69 :rule reordering :premises (@p68) :args ((or @t53 @t54 (not @t55)))) % 0.41/0.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p66) :args (@t54 @t28 (@list @t52 @t55))) % 0.41/0.60 (step @p71 :rule instantiate :premises (@p6) :args ((@list @t32 tptp.v_evs_H))) % 0.41/0.60 (step @p72 :rule instantiate :premises (@p3) :args ((@list @t21 tptp.c_0))) % 0.41/0.60 (step @p73 :rule cnf_or_pos :args (@t59)) % 0.41/0.60 (step @p74 :rule reordering :premises (@p73) :args ((or @t57 @t58 (not @t59)))) % 0.41/0.60 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p71) :args (@t58 @t28 (@list @t56 @t59))) % 0.41/0.60 (step @p76 :rule cnf_or_pos :args (@t51)) % 0.41/0.60 (step @p77 :rule reordering :premises (@p76) :args ((or @t42 @t48 @t50 (not @t51)))) % 0.41/0.60 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p70 @p65) :args (@t50 @t60 (@list @t42 @t48 @t51))) % 0.41/0.60 (step @p79 :rule symm :premises (@p78)) % 0.41/0.60 (step @p80 :rule instantiate :premises (@p52) :args ((@list @t46))) % 0.41/0.60 (step @p81 :rule trans :premises (@p80 @p79 @p54)) % 0.41/0.60 (step @p82 :rule cong :premises (@p81 @p49 @p48) :args (@t61)) % 0.41/0.60 (step @p83 :rule trans :premises (@p82 @p47)) % 0.41/0.60 (step @p84 :rule true_elim :premises (@p83)) % 0.41/0.60 (step @p85 :rule cnf_or_pos :args (@t64)) % 0.41/0.60 (step @p86 :rule reordering :premises (@p85) :args ((or @t63 @t62 (not @t64)))) % 0.41/0.60 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p45) :args (@t63 @t28 (@list @t61 @t64))) % 0.41/0.60 (step @p88 :rule cnf_or_pos :args (@t44)) % 0.41/0.60 (step @p89 :rule reordering :premises (@p88) :args ((or @t42 @t33 @t40 (not @t44)))) % 0.41/0.60 (step @p90 :rule chain_m_resolution :premises (@p89 @p75 @p87 @p44) :args (@t33 @t60 (@list @t42 @t40 @t44))) % 0.41/0.60 (step @p91 :rule cnf_or_pos :args (@t38)) % 0.41/0.60 (step @p92 :rule reordering :premises (@p91) :args ((or @t37 @t34 (not @t38)))) % 0.41/0.60 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p31) :args (@t37 @t28 (@list @t33 @t38))) % 0.41/0.60 (step @p94 :rule refl :args (tptp.c_List_Olist_ONil)) % 0.41/0.60 (step @p95 :rule cong :premises (@p94 @p93) :args (@t65)) % 0.41/0.60 (step @p96 :rule trans :premises (@p95 @p19)) % 0.41/0.60 (step @p97 :rule false_elim :premises (@p96)) % 0.41/0.60 (step @p98 :rule cnf_or_pos :args (@t68)) % 0.41/0.60 (step @p99 :rule reordering :premises (@p98) :args ((or @t65 @t67 (not @t68)))) % 0.41/0.60 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p17) :args (@t67 @t69 (@list @t65 @t68))) % 0.41/0.60 (step @p101 :rule false_intro :premises (@p70)) % 0.41/0.60 (step @p102 :rule refl :args (tptp.tc_Message_Omsg)) % 0.41/0.60 (step @p103 :rule refl :args (@t1)) % 0.41/0.60 (step @p104 :rule cong :premises (@p78) :args (@t41)) % 0.41/0.60 (step @p105 :rule cong :premises (@p104 @p103 @p102) :args (@t70)) % 0.41/0.60 (step @p106 :rule trans :premises (@p105 @p101)) % 0.41/0.60 (step @p107 :rule false_elim :premises (@p106)) % 0.41/0.60 (step @p108 :rule cnf_or_pos :args (@t71)) % 0.41/0.60 (step @p109 :rule reordering :premises (@p108) :args ((or @t70 @t66 @t25 @t72))) % 0.41/0.60 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p100 @p11) :args (@t72 (@list true true true) (@list @t70 @t66 @t25))) % 0.41/0.60 (assume-push @p123 @t6) % 0.41/0.60 (step @p112 :rule instantiate :premises (@p1) :args ((@list @t32 @t22))) % 0.41/0.60 (step-pop @p124 :rule scope :premises (@p112)) % 0.41/0.60 (step @p113 :rule process_scope :premises (@p124) :args (@t71)) % 0.41/0.60 (step @p115 :rule implies_elim :premises (@p113)) % 0.41/0.60 (step @p116 false :rule chain_m_resolution :premises (@p115 @p110 @p1) :args (false @t69 (@list @t71 @t6))) % 0.41/0.60 ) % 0.41/0.60 % SZS output end Proof % 0.41/0.60 % cvc5 exiting %------------------------------------------------------------------------------