%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV292-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:00:59 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV292-2 : TPTP v9.2.1. Released v3.2.0. % 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 : n013.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 20:02:15 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.38/0.57 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_NA $$unsorted) % 0.38/0.57 (declare-const tptp.v_NB $$unsorted) % 0.38/0.57 (declare-const tptp.v_B $$unsorted) % 0.38/0.57 (declare-const tptp.v_A $$unsorted) % 0.38/0.57 (declare-const tptp.v_evs4 $$unsorted) % 0.38/0.57 (declare-const tptp.v_sko__usf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_K $$unsorted) % 0.38/0.57 (declare-const tptp.c_OtwayRees_Ootway $$unsorted) % 0.38/0.57 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_Ba $$unsorted) % 0.38/0.57 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.38/0.57 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_X $$unsorted) % 0.38/0.57 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_NAa $$unsorted) % 0.38/0.57 (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Event_Obad $$unsorted) % 0.38/0.57 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.38/0.57 (declare-const tptp.tc_Message_Oagent $$unsorted) % 0.38/0.57 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.38/0.57 (define @t2 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.38/0.57 (define @t3 () (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway @t2)) % 0.38/0.57 (define @t4 () (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent)) % 0.38/0.57 (define @t5 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) % 0.38/0.57 (define @t6 () (tptp.c_Message_Omsg_OMPair tptp.v_X @t5)) % 0.38/0.57 (define @t7 () (tptp.c_Message_Omsg_ONonce tptp.v_NAa)) % 0.38/0.57 (define @t8 () (tptp.c_Message_Omsg_OMPair @t7 @t6)) % 0.38/0.57 (define @t9 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba @t8) @t4 tptp.tc_Event_Oevent)) % 0.38/0.57 (define @t10 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) % 0.38/0.57 (define @t11 () (tptp.c_Message_Omsg_OAgent tptp.v_B)) % 0.38/0.57 (define @t12 () (tptp.c_Message_Omsg_OAgent tptp.v_A)) % 0.38/0.57 (define @t13 () (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t12 @t11))) % 0.38/0.57 (define @t14 () (tptp.c_Public_OshrK tptp.v_A)) % 0.38/0.57 (define @t15 () (tptp.c_Message_Omsg_OCrypt @t14 @t13)) % 0.38/0.57 (define @t16 () (tptp.c_in @t15 (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X @t10 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t17 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_A tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t12 (tptp.c_Message_Omsg_OMPair @t11 @t15)))) @t4 tptp.tc_Event_Oevent)) % 0.38/0.57 (define @t18 () (tptp.c_Message_Oparts @t10)) % 0.38/0.57 (define @t19 () (tptp.c_in @t15 @t18 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t20 () (not @t19)) % 0.38/0.57 (define @t21 () (@var "V_evs" $$unsorted)) % 0.38/0.57 (define @t22 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t21)) % 0.38/0.57 (define @t23 () (@var "V_X" $$unsorted)) % 0.38/0.57 (define @t24 () (tptp.c_List_Oset @t21 tptp.tc_Event_Oevent)) % 0.38/0.57 (define @t25 () (@var "V_B" $$unsorted)) % 0.38/0.57 (define @t26 () (@var "V_A" $$unsorted)) % 0.38/0.57 (define @t27 () (@var "V_H" $$unsorted)) % 0.38/0.57 (define @t28 () (@var "V_K" $$unsorted)) % 0.38/0.57 (define @t29 () (tptp.c_Message_Omsg_OCrypt @t28 @t23)) % 0.38/0.57 (define @t30 () (tptp.c_Message_Osynth @t27)) % 0.38/0.57 (define @t31 () (tptp.c_Message_Oparts @t27)) % 0.38/0.57 (define @t32 () (tptp.c_Message_Oanalz @t27)) % 0.38/0.57 (define @t33 () (tptp.c_Message_Osynth @t32)) % 0.38/0.57 (define @t34 () (@var "V_Z" $$unsorted)) % 0.38/0.57 (define @t35 () (tptp.c_in @t23 @t33 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t36 () (@var "V_Y" $$unsorted)) % 0.38/0.57 (define @t37 () (tptp.c_Message_Omsg_OMPair @t23 @t36)) % 0.38/0.57 (define @t38 () (@list @t23 @t36 @t27)) % 0.38/0.57 (define @t39 () (@var "V_c" $$unsorted)) % 0.38/0.57 (define @t40 () (not (tptp.c_in @t21 tptp.c_OtwayRees_Ootway @t2))) % 0.38/0.57 (define @t41 () (@var "T_a" $$unsorted)) % 0.38/0.57 (define @t42 () (forall (@list @t39 @t26 @t25 @t41) (or (not (tptp.c_in @t39 (tptp.c_union @t26 @t25 @t41) @t41)) (tptp.c_in @t39 @t25 @t41) (tptp.c_in @t39 @t26 @t41)))) % 0.38/0.57 (define @t43 () (tptp.c_Message_Oanalz @t10)) % 0.38/0.57 (define @t44 () (tptp.c_Message_Omsg_OKey @t14)) % 0.38/0.57 (define @t45 () (tptp.c_in @t44 @t18 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t46 () (not @t45)) % 0.38/0.57 (define @t47 () (not @t3)) % 0.38/0.57 (define @t48 () (or @t47 @t46 @t1)) % 0.38/0.57 (define @t49 () (tptp.c_in @t44 @t43 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t50 () (not @t49)) % 0.38/0.57 (define @t51 () (or @t50 @t45)) % 0.38/0.57 (define @t52 () (@list true false)) % 0.38/0.57 (define @t53 () (tptp.c_in @t15 @t43 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t54 () (not @t53)) % 0.38/0.57 (define @t55 () (or @t54 @t19)) % 0.38/0.57 (define @t56 () (tptp.c_Message_Osynth @t43)) % 0.38/0.57 (define @t57 () (tptp.c_in @t15 @t56 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t58 () (not @t57)) % 0.38/0.57 (define @t59 () (or @t58 @t53 @t49)) % 0.38/0.57 (define @t60 () (tptp.v_sko__usf tptp.v_Ba @t8 tptp.v_evs4)) % 0.38/0.57 (define @t61 () (tptp.c_in (tptp.c_Event_Oevent_OSays @t60 tptp.v_Ba @t8) @t4 tptp.tc_Event_Oevent)) % 0.38/0.57 (define @t62 () (not @t9)) % 0.38/0.57 (define @t63 () (or @t47 @t62 @t61)) % 0.38/0.57 (define @t64 () (@list false false false)) % 0.38/0.57 (define @t65 () (tptp.c_in @t8 @t43 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t66 () (not @t61)) % 0.38/0.57 (define @t67 () (or @t66 @t65)) % 0.38/0.57 (define @t68 () (@list false false)) % 0.38/0.57 (define @t69 () (tptp.c_in @t6 @t43 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t70 () (not @t65)) % 0.38/0.57 (define @t71 () (or @t70 @t69)) % 0.38/0.57 (define @t72 () (tptp.c_in @t6 @t56 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t73 () (not @t69)) % 0.38/0.57 (define @t74 () (or @t73 @t72)) % 0.38/0.57 (define @t75 () (tptp.c_in tptp.v_X @t56 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t76 () (not @t72)) % 0.38/0.57 (define @t77 () (or @t76 @t75)) % 0.38/0.57 (define @t78 () (tptp.c_in @t15 (tptp.c_union @t56 @t18 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t79 () (not @t75)) % 0.38/0.57 (define @t80 () (not @t16)) % 0.38/0.57 (define @t81 () (or @t80 @t79 @t78)) % 0.38/0.57 (define @t82 () (not @t78)) % 0.38/0.57 (define @t83 () (or @t82 @t19 @t57)) % 0.38/0.57 (define @t84 () (not @t83)) % 0.38/0.57 (assume @p1 (not @t1)) % 0.38/0.57 (assume @p2 @t3) % 0.38/0.57 (assume @p3 @t9) % 0.38/0.57 (assume @p4 @t16) % 0.38/0.57 (assume @p5 (not @t17)) % 0.38/0.57 (assume @p6 (or @t17 @t20)) % 0.38/0.57 (assume @p7 (forall (@list @t26 @t25 @t23 @t21) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays @t26 @t25 @t23) @t24 tptp.tc_Event_Oevent)) (tptp.c_in @t23 (tptp.c_Message_Oanalz @t22) tptp.tc_Message_Omsg)))) % 0.38/0.57 (assume @p8 (forall (@list @t28 @t23 @t27) (or (not (tptp.c_in @t29 @t30 tptp.tc_Message_Omsg)) (tptp.c_in @t29 @t27 tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey @t28) @t27 tptp.tc_Message_Omsg)))) % 0.38/0.57 (assume @p9 (forall (@list @t34 @t23 @t27) (or (not (tptp.c_in @t34 (tptp.c_Message_Oparts (tptp.c_insert @t23 @t27 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not @t35) (tptp.c_in @t34 (tptp.c_union @t33 @t31 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) % 0.38/0.57 (assume @p10 (forall @t38 (or (not (tptp.c_in @t37 @t32 tptp.tc_Message_Omsg)) (tptp.c_in @t36 @t32 tptp.tc_Message_Omsg)))) % 0.38/0.57 (assume @p11 (forall @t38 (or (not (tptp.c_in @t37 @t33 tptp.tc_Message_Omsg)) @t35))) % 0.38/0.57 (assume @p12 (forall (@list @t39 @t27) (or (not (tptp.c_in @t39 @t32 tptp.tc_Message_Omsg)) (tptp.c_in @t39 @t31 tptp.tc_Message_Omsg)))) % 0.38/0.57 (assume @p13 (forall (@list @t23 @t27) (or (not (tptp.c_in @t23 @t27 tptp.tc_Message_Omsg)) (tptp.c_in @t23 @t30 tptp.tc_Message_Omsg)))) % 0.38/0.57 (assume @p14 (forall (@list @t21 @t25 @t23) (or @t40 (not (tptp.c_in (tptp.c_Event_Oevent_OGets @t25 @t23) @t24 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf @t25 @t23 @t21) @t25 @t23) @t24 tptp.tc_Event_Oevent)))) % 0.38/0.57 (assume @p15 (forall (@list @t21 @t26) (or @t40 (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK @t26)) (tptp.c_Message_Oparts @t22) tptp.tc_Message_Omsg)) (tptp.c_in @t26 tptp.c_Event_Obad tptp.tc_Message_Oagent)))) % 0.38/0.57 (assume @p16 @t42) % 0.38/0.57 (step @p17 :rule instantiate :premises (@p8) :args ((@list @t14 @t13 @t43))) % 0.38/0.57 (step @p18 :rule instantiate :premises (@p12) :args ((@list @t44 @t10))) % 0.38/0.57 (step @p19 :rule instantiate :premises (@p15) :args ((@list tptp.v_evs4 tptp.v_A))) % 0.38/0.57 (step @p20 :rule cnf_or_pos :args (@t48)) % 0.38/0.57 (step @p21 :rule reordering :premises (@p20) :args ((or @t1 @t47 @t46 (not @t48)))) % 0.38/0.57 (step @p22 :rule chain_m_resolution :premises (@p21 @p1 @p2 @p19) :args (@t46 (@list true false false) (@list @t1 @t3 @t48))) % 0.38/0.57 (step @p23 :rule cnf_or_pos :args (@t51)) % 0.38/0.57 (step @p24 :rule reordering :premises (@p23) :args ((or @t45 @t50 (not @t51)))) % 0.38/0.57 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p18) :args (@t50 @t52 (@list @t45 @t51))) % 0.38/0.57 (step @p26 :rule instantiate :premises (@p12) :args ((@list @t15 @t10))) % 0.38/0.57 (step @p27 :rule chain_m_resolution :premises (@p6 @p5) :args (@t20 (@list true) (@list @t17))) % 0.38/0.57 (step @p28 :rule cnf_or_pos :args (@t55)) % 0.38/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t19 @t54 (not @t55)))) % 0.38/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26) :args (@t54 @t52 (@list @t19 @t55))) % 0.38/0.57 (step @p31 :rule cnf_or_pos :args (@t59)) % 0.38/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t53 @t58 @t49 (not @t59)))) % 0.38/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p25 @p17) :args (@t58 (@list true true false) (@list @t53 @t49 @t59))) % 0.38/0.57 (step @p34 :rule instantiate :premises (@p9) :args ((@list @t15 tptp.v_X @t10))) % 0.38/0.57 (step @p35 :rule instantiate :premises (@p11) :args ((@list tptp.v_X @t5 @t10))) % 0.38/0.57 (step @p36 :rule instantiate :premises (@p13) :args ((@list @t6 @t43))) % 0.38/0.57 (step @p37 :rule instantiate :premises (@p10) :args ((@list @t7 @t6 @t10))) % 0.38/0.57 (step @p38 :rule instantiate :premises (@p7) :args ((@list @t60 tptp.v_Ba @t8 tptp.v_evs4))) % 0.38/0.57 (step @p39 :rule instantiate :premises (@p14) :args ((@list tptp.v_evs4 tptp.v_Ba @t8))) % 0.38/0.57 (step @p40 :rule cnf_or_pos :args (@t63)) % 0.38/0.57 (step @p41 :rule reordering :premises (@p40) :args ((or @t47 @t62 @t61 (not @t63)))) % 0.38/0.57 (step @p42 :rule chain_m_resolution :premises (@p41 @p2 @p3 @p39) :args (@t61 @t64 (@list @t3 @t9 @t63))) % 0.38/0.57 (step @p43 :rule cnf_or_pos :args (@t67)) % 0.38/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t66 @t65 (not @t67)))) % 0.38/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p38) :args (@t65 @t68 (@list @t61 @t67))) % 0.38/0.57 (step @p46 :rule cnf_or_pos :args (@t71)) % 0.38/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t70 @t69 (not @t71)))) % 0.38/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p37) :args (@t69 @t68 (@list @t65 @t71))) % 0.38/0.57 (step @p49 :rule cnf_or_pos :args (@t74)) % 0.38/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t73 @t72 (not @t74)))) % 0.38/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p36) :args (@t72 @t68 (@list @t69 @t74))) % 0.38/0.57 (step @p52 :rule cnf_or_pos :args (@t77)) % 0.38/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t75 @t76 (not @t77)))) % 0.38/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p35) :args (@t75 @t68 (@list @t72 @t77))) % 0.38/0.57 (step @p55 :rule cnf_or_pos :args (@t81)) % 0.38/0.57 (step @p56 :rule reordering :premises (@p55) :args ((or @t80 @t79 @t78 (not @t81)))) % 0.38/0.57 (step @p57 :rule chain_m_resolution :premises (@p56 @p4 @p54 @p34) :args (@t78 @t64 (@list @t16 @t75 @t81))) % 0.38/0.57 (step @p58 :rule cnf_or_pos :args (@t83)) % 0.38/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t19 @t82 @t57 @t84))) % 0.38/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p27 @p57 @p33) :args (@t84 (@list true false true) (@list @t19 @t78 @t57))) % 0.38/0.57 (assume-push @p67 @t42) % 0.38/0.57 (step @p62 :rule instantiate :premises (@p16) :args ((@list @t15 @t56 @t18 tptp.tc_Message_Omsg))) % 0.38/0.57 (step-pop @p68 :rule scope :premises (@p62)) % 0.38/0.57 (step @p63 :rule process_scope :premises (@p68) :args (@t83)) % 0.38/0.57 (step @p65 :rule implies_elim :premises (@p63)) % 0.38/0.57 (step @p66 false :rule chain_m_resolution :premises (@p65 @p60 @p16) :args (false @t52 (@list @t83 @t42))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------