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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWV325-2 : 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 : n022.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 09:01:07 AM UTC 2026

% Result   : Unsatisfiable 0.40s 0.56s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV325-2 : 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 : n022.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 20:03:38 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.28/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.28/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.40/0.56  % SZS status Unsatisfiable
% 0.40/0.56  % SZS output start Proof
% 0.40/0.57  (
% 0.40/0.57  (declare-sort $$unsorted 0)
% 0.40/0.57  (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted))
% 0.40/0.57  (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted))
% 0.40/0.57  (declare-const tptp.v_NA $$unsorted)
% 0.40/0.57  (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted))
% 0.40/0.57  (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted))
% 0.40/0.57  (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted))
% 0.40/0.57  (declare-const tptp.v_C $$unsorted)
% 0.40/0.57  (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted))
% 0.40/0.57  (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.40/0.57  (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.40/0.57  (declare-const tptp.v_B $$unsorted)
% 0.40/0.57  (declare-const tptp.v_X $$unsorted)
% 0.40/0.57  (declare-const tptp.c_OtwayRees_Ootway $$unsorted)
% 0.40/0.57  (declare-const tptp.c_Event_Obad $$unsorted)
% 0.40/0.57  (declare-const tptp.tc_Message_Omsg $$unsorted)
% 0.40/0.57  (declare-const tptp.v_evsf $$unsorted)
% 0.40/0.57  (declare-const tptp.v_A $$unsorted)
% 0.40/0.57  (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted))
% 0.40/0.57  (declare-const tptp.tc_Message_Oagent $$unsorted)
% 0.40/0.57  (declare-const tptp.tc_Event_Oevent $$unsorted)
% 0.40/0.57  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.40/0.57  (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted))
% 0.40/0.57  (declare-const tptp.c_Message_Oagent_OSpy $$unsorted)
% 0.40/0.57  (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted))
% 0.40/0.57  (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted))
% 0.40/0.57  (define @t1 () (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))
% 0.40/0.57  (define @t2 () (tptp.tc_List_Olist tptp.tc_Event_Oevent))
% 0.40/0.57  (define @t3 () (tptp.c_in tptp.v_evsf tptp.c_OtwayRees_Ootway @t2))
% 0.40/0.57  (define @t4 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))
% 0.40/0.57  (define @t5 () (tptp.c_Message_Oanalz @t4))
% 0.40/0.57  (define @t6 () (tptp.c_Message_Osynth @t5))
% 0.40/0.57  (define @t7 () (tptp.c_in tptp.v_X @t6 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t8 () (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X @t4 tptp.tc_Message_Omsg)))
% 0.40/0.57  (define @t9 () (tptp.c_Message_Omsg_OAgent tptp.v_A))
% 0.40/0.57  (define @t10 () (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t9 (tptp.c_Message_Omsg_OAgent tptp.v_C))))
% 0.40/0.57  (define @t11 () (tptp.c_Public_OshrK tptp.v_A))
% 0.40/0.57  (define @t12 () (tptp.c_Message_Omsg_OCrypt @t11 @t10))
% 0.40/0.57  (define @t13 () (tptp.c_in @t12 @t8 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t14 () (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t9 (tptp.c_Message_Omsg_OAgent tptp.v_B))))
% 0.40/0.57  (define @t15 () (tptp.c_Message_Omsg_OCrypt @t11 @t14))
% 0.40/0.57  (define @t16 () (tptp.c_in @t15 @t8 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t17 () (= tptp.v_B tptp.v_C))
% 0.40/0.57  (define @t18 () (tptp.c_Message_Oparts @t4))
% 0.40/0.57  (define @t19 () (tptp.c_in @t12 @t18 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t20 () (not @t19))
% 0.40/0.57  (define @t21 () (tptp.c_in @t15 @t18 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t22 () (not @t21))
% 0.40/0.57  (define @t23 () (or @t17 @t22 @t20))
% 0.40/0.57  (define @t24 () (@var "V_H" $$unsorted))
% 0.40/0.57  (define @t25 () (@var "V_K" $$unsorted))
% 0.40/0.57  (define @t26 () (@var "V_X" $$unsorted))
% 0.40/0.57  (define @t27 () (tptp.c_Message_Omsg_OCrypt @t25 @t26))
% 0.40/0.57  (define @t28 () (tptp.c_Message_Oparts @t24))
% 0.40/0.57  (define @t29 () (tptp.c_Message_Oanalz @t24))
% 0.40/0.57  (define @t30 () (tptp.c_Message_Osynth @t29))
% 0.40/0.57  (define @t31 () (@var "V_Z" $$unsorted))
% 0.40/0.57  (define @t32 () (@var "V_c" $$unsorted))
% 0.40/0.57  (define @t33 () (@var "V_A" $$unsorted))
% 0.40/0.57  (define @t34 () (@var "V_evs" $$unsorted))
% 0.40/0.57  (define @t35 () (@var "T_a" $$unsorted))
% 0.40/0.57  (define @t36 () (@var "V_B" $$unsorted))
% 0.40/0.57  (define @t37 () (tptp.c_Message_Omsg_OKey @t11))
% 0.40/0.57  (define @t38 () (tptp.c_in @t37 @t18 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t39 () (not @t38))
% 0.40/0.57  (define @t40 () (not @t3))
% 0.40/0.57  (define @t41 () (or @t40 @t39 @t1))
% 0.40/0.57  (define @t42 () (@list true false false))
% 0.40/0.57  (define @t43 () (tptp.c_in @t37 @t5 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t44 () (not @t43))
% 0.40/0.57  (define @t45 () (or @t44 @t38))
% 0.40/0.57  (define @t46 () (@list true false))
% 0.40/0.57  (define @t47 () (tptp.c_in @t12 @t5 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t48 () (not @t47))
% 0.40/0.57  (define @t49 () (or @t48 @t19))
% 0.40/0.57  (define @t50 () (tptp.c_union @t6 @t18 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t51 () (tptp.c_in @t12 @t50 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t52 () (not @t7))
% 0.40/0.57  (define @t53 () (not @t13))
% 0.40/0.57  (define @t54 () (or @t53 @t52 @t51))
% 0.40/0.57  (define @t55 () (@list false false false))
% 0.40/0.57  (define @t56 () (tptp.c_in @t12 @t6 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t57 () (not @t51))
% 0.40/0.57  (define @t58 () (or @t57 @t19 @t56))
% 0.40/0.57  (define @t59 () (not @t56))
% 0.40/0.57  (define @t60 () (or @t59 @t47 @t43))
% 0.40/0.57  (define @t61 () (= tptp.v_C tptp.v_B))
% 0.40/0.57  (define @t62 () (tptp.c_in @t15 @t5 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t63 () (not @t62))
% 0.40/0.57  (define @t64 () (or @t63 @t21))
% 0.40/0.57  (define @t65 () (tptp.c_in @t15 @t50 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t66 () (not @t16))
% 0.40/0.57  (define @t67 () (or @t66 @t52 @t65))
% 0.40/0.57  (define @t68 () (tptp.c_in @t15 @t6 tptp.tc_Message_Omsg))
% 0.40/0.57  (define @t69 () (not @t65))
% 0.40/0.57  (define @t70 () (or @t69 @t21 @t68))
% 0.40/0.57  (define @t71 () (not @t68))
% 0.40/0.57  (define @t72 () (or @t71 @t62 @t43))
% 0.40/0.57  (assume @p1 (not @t1))
% 0.40/0.57  (assume @p2 @t3)
% 0.40/0.57  (assume @p3 @t7)
% 0.40/0.57  (assume @p4 @t13)
% 0.40/0.57  (assume @p5 @t16)
% 0.40/0.57  (assume @p6 (not @t17))
% 0.40/0.57  (assume @p7 @t23)
% 0.40/0.57  (assume @p8 (forall (@list @t25 @t26 @t24) (or (not (tptp.c_in @t27 (tptp.c_Message_Osynth @t24) tptp.tc_Message_Omsg)) (tptp.c_in @t27 @t24 tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey @t25) @t24 tptp.tc_Message_Omsg))))
% 0.40/0.57  (assume @p9 (forall (@list @t31 @t26 @t24) (or (not (tptp.c_in @t31 (tptp.c_Message_Oparts (tptp.c_insert @t26 @t24 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in @t26 @t30 tptp.tc_Message_Omsg)) (tptp.c_in @t31 (tptp.c_union @t30 @t28 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 0.40/0.57  (assume @p10 (forall (@list @t32 @t24) (or (not (tptp.c_in @t32 @t29 tptp.tc_Message_Omsg)) (tptp.c_in @t32 @t28 tptp.tc_Message_Omsg))))
% 0.40/0.57  (assume @p11 (forall (@list @t34 @t33) (or (not (tptp.c_in @t34 tptp.c_OtwayRees_Ootway @t2)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK @t33)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t34)) tptp.tc_Message_Omsg)) (tptp.c_in @t33 tptp.c_Event_Obad tptp.tc_Message_Oagent))))
% 0.40/0.57  (assume @p12 (forall (@list @t32 @t33 @t36 @t35) (or (not (tptp.c_in @t32 (tptp.c_union @t33 @t36 @t35) @t35)) (tptp.c_in @t32 @t36 @t35) (tptp.c_in @t32 @t33 @t35))))
% 0.40/0.57  (step @p13 :rule instantiate :premises (@p10) :args ((@list @t37 @t4)))
% 0.40/0.57  (step @p14 :rule instantiate :premises (@p11) :args ((@list tptp.v_evsf tptp.v_A)))
% 0.40/0.57  (step @p15 :rule cnf_or_pos :args (@t41))
% 0.40/0.57  (step @p16 :rule reordering :premises (@p15) :args ((or @t1 @t40 @t39 (not @t41))))
% 0.40/0.57  (step @p17 :rule chain_m_resolution :premises (@p16 @p1 @p2 @p14) :args (@t39 @t42 (@list @t1 @t3 @t41)))
% 0.40/0.57  (step @p18 :rule cnf_or_pos :args (@t45))
% 0.40/0.57  (step @p19 :rule reordering :premises (@p18) :args ((or @t44 @t38 (not @t45))))
% 0.40/0.57  (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p13) :args (@t44 @t46 (@list @t38 @t45)))
% 0.40/0.57  (step @p21 :rule instantiate :premises (@p8) :args ((@list @t11 @t14 @t5)))
% 0.40/0.57  (step @p22 :rule instantiate :premises (@p10) :args ((@list @t15 @t4)))
% 0.40/0.57  (step @p23 :rule symm :premises (@p6))
% 0.40/0.57  (step @p24 :rule instantiate :premises (@p10) :args ((@list @t12 @t4)))
% 0.40/0.57  (step @p25 :rule cnf_or_pos :args (@t49))
% 0.40/0.57  (step @p26 :rule reordering :premises (@p25) :args ((or @t19 @t48 (not @t49))))
% 0.40/0.57  (step @p27 :rule instantiate :premises (@p9) :args ((@list @t12 tptp.v_X @t4)))
% 0.40/0.57  (step @p28 :rule cnf_or_pos :args (@t54))
% 0.40/0.57  (step @p29 :rule reordering :premises (@p28) :args ((or @t52 @t53 @t51 (not @t54))))
% 0.40/0.57  (step @p30 :rule chain_m_resolution :premises (@p29 @p3 @p4 @p27) :args (@t51 @t55 (@list @t7 @t13 @t54)))
% 0.40/0.57  (step @p31 :rule instantiate :premises (@p12) :args ((@list @t12 @t6 @t18 tptp.tc_Message_Omsg)))
% 0.40/0.57  (step @p32 :rule cnf_or_pos :args (@t58))
% 0.40/0.57  (step @p33 :rule reordering :premises (@p32) :args ((or @t19 @t57 @t56 (not @t58))))
% 0.40/0.57  (step @p34 :rule instantiate :premises (@p8) :args ((@list @t11 @t10 @t5)))
% 0.40/0.57  (step @p35 :rule cnf_or_pos :args (@t60))
% 0.40/0.57  (step @p36 :rule reordering :premises (@p35) :args ((or @t47 @t59 @t43 (not @t60))))
% 0.40/0.57  (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p33 @p31 @p30 @p26 @p24) :args ((or @t19 @t43) (@list false false false false true false) (@list @t60 @t56 @t58 @t51 @t47 @t49)))
% 0.40/0.57  (step @p38 :rule chain_m_resolution :premises (@p37 @p20) :args (@t19 (@list true) (@list @t43)))
% 0.40/0.57  (step @p39 :rule refl :args (@t20))
% 0.40/0.57  (step @p40 :rule refl :args (@t22))
% 0.40/0.57  (step @p41 :rule eq-symm :args (tptp.v_B tptp.v_C))
% 0.40/0.57  (step @p42 :rule nary_cong :premises (@p41 @p40 @p39) :args (@t23))
% 0.40/0.57  (step @p43 :rule eq_resolve :premises (@p7 @p42))
% 0.40/0.57  (step @p44 :rule reordering :premises (@p43) :args ((or @t22 @t20 @t61)))
% 0.40/0.57  (step @p45 :rule chain_m_resolution :premises (@p44 @p38 @p23) :args (@t22 (@list false true) (@list @t19 @t61)))
% 0.40/0.57  (step @p46 :rule cnf_or_pos :args (@t64))
% 0.40/0.57  (step @p47 :rule reordering :premises (@p46) :args ((or @t21 @t63 (not @t64))))
% 0.40/0.57  (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p22) :args (@t63 @t46 (@list @t21 @t64)))
% 0.40/0.57  (step @p49 :rule instantiate :premises (@p12) :args ((@list @t15 @t6 @t18 tptp.tc_Message_Omsg)))
% 0.40/0.57  (step @p50 :rule instantiate :premises (@p9) :args ((@list @t15 tptp.v_X @t4)))
% 0.40/0.57  (step @p51 :rule cnf_or_pos :args (@t67))
% 0.40/0.57  (step @p52 :rule reordering :premises (@p51) :args ((or @t52 @t66 @t65 (not @t67))))
% 0.40/0.57  (step @p53 :rule chain_m_resolution :premises (@p52 @p3 @p5 @p50) :args (@t65 @t55 (@list @t7 @t16 @t67)))
% 0.40/0.57  (step @p54 :rule cnf_or_pos :args (@t70))
% 0.40/0.57  (step @p55 :rule reordering :premises (@p54) :args ((or @t21 @t69 @t68 (not @t70))))
% 0.40/0.57  (step @p56 :rule chain_m_resolution :premises (@p55 @p45 @p53 @p49) :args (@t68 @t42 (@list @t21 @t65 @t70)))
% 0.40/0.57  (step @p57 :rule cnf_or_pos :args (@t72))
% 0.40/0.57  (step @p58 :rule reordering :premises (@p57) :args ((or @t62 @t71 @t43 (not @t72))))
% 0.40/0.57  (step @p59 false :rule chain_m_resolution :premises (@p58 @p56 @p48 @p21 @p20) :args (false (@list false true false true) (@list @t68 @t62 @t72 @t43)))
% 0.40/0.57  )
% 0.40/0.57  % SZS output end Proof
% 0.40/0.57  % cvc5 exiting
%------------------------------------------------------------------------------