%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV338-2 : 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 : n026.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 09:01:10 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV338-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 20:05:10 EDT 2026 % 0.18/0.36 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Unsatisfiable % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.v_evsf $$unsorted) % 0.39/0.58 (declare-const tptp.v_K $$unsorted) % 0.39/0.58 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.v_X $$unsorted) % 0.39/0.58 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.39/0.58 (declare-const tptp.tc_nat $$unsorted) % 0.39/0.58 (declare-const tptp.c_Event_Oused (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.39/0.58 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.c_Message_OkeysFor (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.c_Message_OinvKey (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.c_Message_OsymKeys $$unsorted) % 0.39/0.58 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.39/0.58 (define @t1 () (@var "V_evs" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "V_c" $$unsorted)) % 0.39/0.58 (define @t3 () (@var "V_H" $$unsorted)) % 0.39/0.58 (define @t4 () (@var "V_K" $$unsorted)) % 0.39/0.58 (define @t5 () (@var "V_G" $$unsorted)) % 0.39/0.58 (define @t6 () (@var "V_X" $$unsorted)) % 0.39/0.58 (define @t7 () (@var "V_y" $$unsorted)) % 0.39/0.58 (define @t8 () (tptp.c_Message_OinvKey @t7)) % 0.39/0.58 (define @t9 () (not (tptp.c_in @t7 tptp.c_Message_OsymKeys tptp.tc_nat))) % 0.39/0.58 (define @t10 () (or @t9 (= @t8 @t7))) % 0.39/0.58 (define @t11 () (forall (@list @t7) @t10)) % 0.39/0.58 (define @t12 () (@var "T_a" $$unsorted)) % 0.39/0.58 (define @t13 () (tptp.c_union @t7 @t7 @t12)) % 0.39/0.58 (define @t14 () (forall (@list @t7 @t12) (= @t13 @t7))) % 0.39/0.58 (define @t15 () (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) % 0.39/0.58 (define @t16 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) % 0.39/0.58 (define @t17 () (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz @t16)) tptp.tc_Message_Omsg)) % 0.39/0.58 (define @t18 () (tptp.c_Message_Omsg_OKey tptp.v_K)) % 0.39/0.58 (define @t19 () (tptp.c_in @t18 (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg)) % 0.39/0.58 (define @t20 () (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X @t16 tptp.tc_Message_Omsg))) tptp.tc_nat)) % 0.39/0.58 (define @t21 () (tptp.c_Message_Oparts @t16)) % 0.39/0.58 (define @t22 () (tptp.c_Message_OkeysFor @t21)) % 0.39/0.58 (define @t23 () (tptp.c_in tptp.v_K @t22 tptp.tc_nat)) % 0.39/0.58 (define @t24 () (not @t23)) % 0.39/0.58 (define @t25 () (not (tptp.c_in @t18 @t21 tptp.tc_Message_Omsg))) % 0.39/0.58 (define @t26 () (or @t25 @t19)) % 0.39/0.58 (define @t27 () (tptp.c_Message_OinvKey tptp.v_K)) % 0.39/0.58 (define @t28 () (= tptp.v_K @t27)) % 0.39/0.58 (define @t29 () (not @t15)) % 0.39/0.58 (define @t30 () (or @t29 @t28)) % 0.39/0.58 (define @t31 () (tptp.c_Message_Omsg_OKey @t27)) % 0.39/0.58 (define @t32 () (tptp.c_in @t31 @t21 tptp.tc_Message_Omsg)) % 0.39/0.58 (define @t33 () (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union @t16 @t16 tptp.tc_Message_Omsg))) tptp.tc_nat)) % 0.39/0.58 (define @t34 () (not @t17)) % 0.39/0.58 (define @t35 () (not @t20)) % 0.39/0.58 (define @t36 () (or @t35 @t34 @t33 @t32)) % 0.39/0.58 (assume @p1 (forall (@list @t2 @t1) (or (not (tptp.c_in @t2 (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t1)) tptp.tc_Message_Omsg)) (tptp.c_in @t2 (tptp.c_Event_Oused @t1) tptp.tc_Message_Omsg)))) % 0.39/0.58 (assume @p2 (forall (@list @t4 @t6 @t5 @t3) (or (not (tptp.c_in @t4 (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert @t6 @t5 tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in @t6 (tptp.c_Message_Osynth (tptp.c_Message_Oanalz @t3)) tptp.tc_Message_Omsg)) (tptp.c_in @t4 (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union @t5 @t3 tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey @t4)) (tptp.c_Message_Oparts @t3) tptp.tc_Message_Omsg)))) % 0.39/0.58 (assume @p3 @t11) % 0.39/0.58 (assume @p4 @t14) % 0.39/0.58 (assume @p5 @t15) % 0.39/0.58 (assume @p6 @t17) % 0.39/0.58 (assume @p7 (not @t19)) % 0.39/0.58 (assume @p8 @t20) % 0.39/0.58 (assume @p9 (or @t24 @t19)) % 0.39/0.58 (step @p10 :rule evaluate :args ((= false true))) % 0.39/0.58 (step @p11 :rule instantiate :premises (@p2) :args ((@list tptp.v_K tptp.v_X @t16 @t16))) % 0.39/0.58 (step @p12 :rule instantiate :premises (@p1) :args ((@list @t18 tptp.v_evsf))) % 0.39/0.58 (step @p13 :rule cnf_or_pos :args (@t26)) % 0.39/0.58 (step @p14 :rule reordering :premises (@p13) :args ((or @t19 @t25 (not @t26)))) % 0.39/0.58 (step @p15 :rule chain_m_resolution :premises (@p14 @p7 @p12) :args (@t25 (@list true false) (@list @t19 @t26))) % 0.39/0.58 (step @p16 :rule false_intro :premises (@p15)) % 0.39/0.58 (step @p17 :rule refl :args (tptp.tc_Message_Omsg)) % 0.39/0.58 (step @p18 :rule refl :args (@t21)) % 0.39/0.58 (step @p19 :rule eq-symm :args (@t8 @t7)) % 0.39/0.58 (step @p20 :rule refl :args (@t9)) % 0.39/0.58 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t10)) % 0.39/0.58 (step @p22 :rule cong :premises (@p21) :args (@t11)) % 0.39/0.58 (step @p23 :rule eq_resolve :premises (@p3 @p22)) % 0.39/0.58 (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.v_K))) % 0.39/0.58 (step @p25 :rule cnf_or_pos :args (@t30)) % 0.39/0.58 (step @p26 :rule reordering :premises (@p25) :args ((or @t29 @t28 (not @t30)))) % 0.39/0.58 (step @p27 :rule chain_m_resolution :premises (@p26 @p5 @p24) :args (@t28 (@list false false) (@list @t15 @t30))) % 0.39/0.58 (step @p28 :rule symm :premises (@p27)) % 0.39/0.58 (step @p29 :rule cong :premises (@p28) :args (@t31)) % 0.39/0.58 (step @p30 :rule cong :premises (@p29 @p18 @p17) :args (@t32)) % 0.39/0.58 (step @p31 :rule trans :premises (@p30 @p16)) % 0.39/0.58 (step @p32 :rule false_elim :premises (@p31)) % 0.39/0.58 (step @p33 :rule cnf_or_pos :args (@t36)) % 0.39/0.58 (step @p34 :rule reordering :premises (@p33) :args ((or @t34 @t35 @t33 @t32 (not @t36)))) % 0.39/0.58 (step @p35 :rule chain_m_resolution :premises (@p34 @p6 @p8 @p32 @p11) :args (@t33 (@list false false true false) (@list @t17 @t20 @t32 @t36))) % 0.39/0.58 (step @p36 :rule true_intro :premises (@p35)) % 0.39/0.58 (step @p37 :rule refl :args (tptp.tc_nat)) % 0.39/0.58 (step @p38 :rule eq-symm :args (@t13 @t7)) % 0.39/0.58 (step @p39 :rule cong :premises (@p38) :args (@t14)) % 0.39/0.58 (step @p40 :rule eq_resolve :premises (@p4 @p39)) % 0.39/0.58 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t16 tptp.tc_Message_Omsg))) % 0.39/0.58 (step @p42 :rule cong :premises (@p41) :args (@t21)) % 0.39/0.58 (step @p43 :rule cong :premises (@p42) :args (@t22)) % 0.39/0.58 (step @p44 :rule refl :args (tptp.v_K)) % 0.39/0.58 (step @p45 :rule cong :premises (@p44 @p43 @p37) :args (@t23)) % 0.39/0.58 (step @p46 :rule reordering :premises (@p9) :args ((or @t19 @t24))) % 0.39/0.58 (step @p47 :rule chain_m_resolution :premises (@p46 @p7) :args (@t24 (@list true) (@list @t19))) % 0.39/0.58 (step @p48 :rule false_intro :premises (@p47)) % 0.39/0.58 (step @p49 :rule symm :premises (@p48)) % 0.39/0.58 (step @p50 :rule trans :premises (@p49 @p45 @p36)) % 0.39/0.58 (step @p51 false :rule eq_resolve :premises (@p50 @p10)) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------