%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV294-2 : 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 : n027.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 09:01:00 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV294-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n027.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:01:51 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Unsatisfiable % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.37/0.58 (declare-const tptp.v_x $$unsorted) % 0.37/0.58 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.v_K $$unsorted) % 0.37/0.58 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.37/0.58 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.37/0.58 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_OtwayRees_Ootway $$unsorted) % 0.37/0.58 (declare-const tptp.c_Event_Obad $$unsorted) % 0.37/0.58 (declare-const tptp.v_evsf $$unsorted) % 0.37/0.58 (declare-const tptp.v_A $$unsorted) % 0.37/0.58 (declare-const tptp.tc_Message_Oagent $$unsorted) % 0.37/0.58 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.37/0.58 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.v_B $$unsorted) % 0.37/0.58 (declare-const tptp.v_X $$unsorted) % 0.37/0.58 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.v_NA $$unsorted) % 0.37/0.58 (define @t1 () (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.37/0.58 (define @t2 () (not @t1)) % 0.37/0.58 (define @t3 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.37/0.58 (define @t4 () (tptp.c_in tptp.v_evsf tptp.c_OtwayRees_Ootway @t3)) % 0.37/0.58 (define @t5 () (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent)) % 0.37/0.58 (define @t6 () (tptp.c_Message_Omsg_OAgent tptp.v_B)) % 0.37/0.58 (define @t7 () (tptp.c_Message_Omsg_OAgent tptp.v_A)) % 0.37/0.58 (define @t8 () (tptp.c_Public_OshrK tptp.v_A)) % 0.37/0.58 (define @t9 () (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 @t7 (tptp.c_Message_Omsg_OMPair @t6 (tptp.c_Message_Omsg_OCrypt @t8 (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t7 @t6))))))) @t5 tptp.tc_Event_Oevent)) % 0.37/0.58 (define @t10 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) % 0.37/0.58 (define @t11 () (tptp.c_Message_Oparts @t10)) % 0.37/0.58 (define @t12 () (tptp.c_Message_Omsg_OKey tptp.v_K)) % 0.37/0.58 (define @t13 () (tptp.c_Message_Omsg_OMPair tptp.v_NA @t12)) % 0.37/0.58 (define @t14 () (tptp.c_Message_Omsg_OCrypt @t8 @t13)) % 0.37/0.58 (define @t15 () (tptp.c_in @t14 @t11 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t16 () (not @t15)) % 0.37/0.58 (define @t17 () (tptp.c_Public_OshrK tptp.v_B)) % 0.37/0.58 (define @t18 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t14 (tptp.c_Message_Omsg_OCrypt @t17 (tptp.c_Message_Omsg_OMPair tptp.v_x @t12))))) @t5 tptp.tc_Event_Oevent)) % 0.37/0.58 (define @t19 () (tptp.c_Message_Oanalz @t10)) % 0.37/0.58 (define @t20 () (tptp.c_Message_Osynth @t19)) % 0.37/0.58 (define @t21 () (tptp.c_in tptp.v_X @t20 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t22 () (= tptp.v_A tptp.c_Message_Oagent_OSpy)) % 0.37/0.58 (define @t23 () (tptp.c_in @t14 (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X @t10 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t24 () (@var "V_V" $$unsorted)) % 0.37/0.58 (define @t25 () (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t14 (tptp.c_Message_Omsg_OCrypt @t17 (tptp.c_Message_Omsg_OMPair @t24 @t12))))) @t5 tptp.tc_Event_Oevent))) % 0.37/0.58 (define @t26 () (or @t25 @t22)) % 0.37/0.58 (define @t27 () (@list @t24)) % 0.37/0.58 (define @t28 () (forall @t27 @t26)) % 0.37/0.58 (define @t29 () (tptp.c_in tptp.c_Message_Oagent_OSpy tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.37/0.58 (define @t30 () (@var "V_H" $$unsorted)) % 0.37/0.58 (define @t31 () (@var "V_K" $$unsorted)) % 0.37/0.58 (define @t32 () (@var "V_X" $$unsorted)) % 0.37/0.58 (define @t33 () (tptp.c_Message_Omsg_OCrypt @t31 @t32)) % 0.37/0.58 (define @t34 () (tptp.c_Message_Oparts @t30)) % 0.37/0.58 (define @t35 () (tptp.c_Message_Oanalz @t30)) % 0.37/0.58 (define @t36 () (tptp.c_Message_Osynth @t35)) % 0.37/0.58 (define @t37 () (@var "V_Z" $$unsorted)) % 0.37/0.58 (define @t38 () (@var "V_c" $$unsorted)) % 0.37/0.58 (define @t39 () (@var "V_A" $$unsorted)) % 0.37/0.58 (define @t40 () (@var "V_evs" $$unsorted)) % 0.37/0.58 (define @t41 () (@var "T_a" $$unsorted)) % 0.37/0.58 (define @t42 () (@var "V_B" $$unsorted)) % 0.37/0.58 (define @t43 () (tptp.c_Message_Omsg_OKey @t8)) % 0.37/0.58 (define @t44 () (not @t29)) % 0.37/0.58 (define @t45 () (not @t22)) % 0.37/0.58 (define @t46 () (@list true false)) % 0.37/0.58 (define @t47 () (@list true)) % 0.37/0.58 (define @t48 () (@list @t22)) % 0.37/0.58 (define @t49 () (tptp.c_in @t14 (tptp.c_union @t20 @t11 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t50 () (not @t21)) % 0.37/0.58 (define @t51 () (not @t23)) % 0.37/0.58 (define @t52 () (or @t51 @t50 @t49)) % 0.37/0.58 (define @t53 () (forall @t27 @t25)) % 0.37/0.58 (define @t54 () (or @t22 @t25)) % 0.37/0.58 (define @t55 () (not @t18)) % 0.37/0.58 (define @t56 () (tptp.c_in @t14 @t20 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t57 () (not @t49)) % 0.37/0.58 (define @t58 () (or @t57 @t15 @t56)) % 0.37/0.58 (define @t59 () (@list true false false)) % 0.37/0.58 (define @t60 () (tptp.c_in @t14 @t19 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t61 () (not @t60)) % 0.37/0.58 (define @t62 () (or @t61 @t15)) % 0.37/0.58 (define @t63 () (tptp.c_in @t43 @t19 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t64 () (not @t56)) % 0.37/0.58 (define @t65 () (or @t64 @t60 @t63)) % 0.37/0.58 (define @t66 () (tptp.c_in @t43 @t11 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t67 () (not @t63)) % 0.37/0.58 (define @t68 () (or @t67 @t66)) % 0.37/0.58 (define @t69 () (not @t66)) % 0.37/0.58 (define @t70 () (not @t4)) % 0.37/0.58 (define @t71 () (or @t70 @t69 @t1)) % 0.37/0.58 (assume @p1 @t2) % 0.37/0.58 (assume @p2 @t4) % 0.37/0.58 (assume @p3 (or @t18 @t16 (not @t9))) % 0.37/0.58 (assume @p4 @t21) % 0.37/0.58 (assume @p5 (or @t9 @t22)) % 0.37/0.58 (assume @p6 (or @t23 @t22)) % 0.37/0.58 (assume @p7 @t28) % 0.37/0.58 (assume @p8 @t29) % 0.37/0.58 (assume @p9 (forall (@list @t31 @t32 @t30) (or (not (tptp.c_in @t33 (tptp.c_Message_Osynth @t30) tptp.tc_Message_Omsg)) (tptp.c_in @t33 @t30 tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey @t31) @t30 tptp.tc_Message_Omsg)))) % 0.37/0.58 (assume @p10 (forall (@list @t37 @t32 @t30) (or (not (tptp.c_in @t37 (tptp.c_Message_Oparts (tptp.c_insert @t32 @t30 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in @t32 @t36 tptp.tc_Message_Omsg)) (tptp.c_in @t37 (tptp.c_union @t36 @t34 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) % 0.37/0.58 (assume @p11 (forall (@list @t38 @t30) (or (not (tptp.c_in @t38 @t35 tptp.tc_Message_Omsg)) (tptp.c_in @t38 @t34 tptp.tc_Message_Omsg)))) % 0.37/0.58 (assume @p12 (forall (@list @t40 @t39) (or (not (tptp.c_in @t40 tptp.c_OtwayRees_Ootway @t3)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK @t39)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t40)) tptp.tc_Message_Omsg)) (tptp.c_in @t39 tptp.c_Event_Obad tptp.tc_Message_Oagent)))) % 0.37/0.58 (assume @p13 (forall (@list @t38 @t39 @t42 @t41) (or (not (tptp.c_in @t38 (tptp.c_union @t39 @t42 @t41) @t41)) (tptp.c_in @t38 @t42 @t41) (tptp.c_in @t38 @t39 @t41)))) % 0.37/0.58 (step @p14 :rule instantiate :premises (@p12) :args ((@list tptp.v_evsf tptp.v_A))) % 0.37/0.58 (step @p15 :rule instantiate :premises (@p11) :args ((@list @t43 @t10))) % 0.37/0.58 (step @p16 :rule instantiate :premises (@p9) :args ((@list @t8 @t13 @t19))) % 0.37/0.58 (step @p17 :rule instantiate :premises (@p13) :args ((@list @t14 @t20 @t11 tptp.tc_Message_Omsg))) % 0.37/0.58 (step @p18 :rule instantiate :premises (@p10) :args ((@list @t14 tptp.v_X @t10))) % 0.37/0.58 (step @p19 :rule refl :args (@t44)) % 0.37/0.58 (step @p20 :rule refl :args (@t45)) % 0.37/0.58 (step @p21 :rule bool-double-not-elim :args (@t1)) % 0.37/0.58 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args ((or (not @t2) @t45 @t44))) % 0.37/0.58 (assume-push @p79 @t2) % 0.37/0.58 (assume-push @p80 @t22) % 0.37/0.58 (assume-push @p81 @t29) % 0.37/0.58 (step @p26 :rule evaluate :args ((= true false))) % 0.37/0.58 (step @p27 :rule false_intro :premises (@p1)) % 0.37/0.58 (step @p28 :rule refl :args (tptp.tc_Message_Oagent)) % 0.37/0.58 (step @p29 :rule refl :args (tptp.c_Event_Obad)) % 0.37/0.58 (step @p30 :rule symm :premises (@p80)) % 0.37/0.58 (step @p31 :rule cong :premises (@p30 @p29 @p28) :args (@t29)) % 0.37/0.58 (step @p32 :rule true_intro :premises (@p8)) % 0.37/0.58 (step @p33 :rule symm :premises (@p32)) % 0.37/0.58 (step @p34 :rule trans :premises (@p33 @p31 @p27)) % 0.37/0.58 (step @p35 false :rule eq_resolve :premises (@p34 @p26)) % 0.37/0.58 (step-pop @p82 :rule scope :premises (@p35)) % 0.37/0.58 (step-pop @p83 :rule scope :premises (@p82)) % 0.37/0.58 (step-pop @p84 :rule scope :premises (@p83)) % 0.37/0.58 (step @p36 :rule process_scope :premises (@p84) :args (false)) % 0.37/0.58 (step @p40 :rule not_and :premises (@p36)) % 0.37/0.58 (step @p41 :rule eq_resolve :premises (@p40 @p22)) % 0.37/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p1 @p8) :args (@t45 @t46 (@list @t1 @t29))) % 0.37/0.58 (step @p43 :rule reordering :premises (@p6) :args ((or @t22 @t23))) % 0.37/0.58 (step @p44 :rule chain_m_resolution :premises (@p43 @p42) :args (@t23 @t47 @t48)) % 0.37/0.58 (step @p45 :rule cnf_or_pos :args (@t52)) % 0.37/0.58 (step @p46 :rule reordering :premises (@p45) :args ((or @t50 @t51 @t49 (not @t52)))) % 0.37/0.58 (step @p47 :rule chain_m_resolution :premises (@p46 @p4 @p44 @p18) :args (@t49 (@list false false false) (@list @t21 @t23 @t52))) % 0.37/0.58 (step @p48 :rule chain_m_resolution :premises (@p5 @p42) :args (@t9 @t47 @t48)) % 0.37/0.58 (step @p49 :rule quant-miniscope-or :args ((= (forall @t27 @t54) (or @t22 @t53)))) % 0.37/0.58 (step @p50 :rule aci_norm :args ((= @t26 @t54))) % 0.37/0.58 (step @p51 :rule cong :premises (@p50) :args (@t28)) % 0.37/0.58 (step @p52 :rule trans :premises (@p51 @p49)) % 0.37/0.58 (step @p53 :rule eq_resolve :premises (@p7 @p52)) % 0.37/0.58 (step @p54 :rule chain_m_resolution :premises (@p53 @p42) :args (@t53 @t47 @t48)) % 0.37/0.58 (assume-push @p85 @t53) % 0.37/0.58 (step @p56 :rule instantiate :premises (@p85) :args ((@list tptp.v_x))) % 0.37/0.58 (step-pop @p86 :rule scope :premises (@p56)) % 0.37/0.58 (step @p57 :rule process_scope :premises (@p86) :args (@t55)) % 0.37/0.58 (step @p59 :rule implies_elim :premises (@p57)) % 0.37/0.58 (step @p60 :rule reordering :premises (@p59) :args ((or @t55 (not @t53)))) % 0.37/0.58 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t55 (@list false) (@list @t53))) % 0.37/0.58 (step @p62 :rule chain_m_resolution :premises (@p3 @p61 @p48) :args (@t16 @t46 (@list @t18 @t9))) % 0.37/0.58 (step @p63 :rule cnf_or_pos :args (@t58)) % 0.37/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t15 @t57 @t56 (not @t58)))) % 0.37/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p47 @p17) :args (@t56 @t59 (@list @t15 @t49 @t58))) % 0.37/0.58 (step @p66 :rule instantiate :premises (@p11) :args ((@list @t14 @t10))) % 0.37/0.58 (step @p67 :rule cnf_or_pos :args (@t62)) % 0.37/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t15 @t61 (not @t62)))) % 0.37/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p62 @p66) :args (@t61 @t46 (@list @t15 @t62))) % 0.37/0.58 (step @p70 :rule cnf_or_pos :args (@t65)) % 0.37/0.58 (step @p71 :rule reordering :premises (@p70) :args ((or @t60 @t64 @t63 (not @t65)))) % 0.37/0.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p65 @p16) :args (@t63 @t59 (@list @t60 @t56 @t65))) % 0.37/0.58 (step @p73 :rule cnf_or_pos :args (@t68)) % 0.37/0.58 (step @p74 :rule reordering :premises (@p73) :args ((or @t67 @t66 (not @t68)))) % 0.37/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p15) :args (@t66 (@list false false) (@list @t63 @t68))) % 0.37/0.58 (step @p76 :rule cnf_or_pos :args (@t71)) % 0.37/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or @t1 @t70 @t69 (not @t71)))) % 0.37/0.58 (step @p78 false :rule chain_m_resolution :premises (@p77 @p75 @p14 @p2 @p1) :args (false (@list false false false true) (@list @t66 @t71 @t4 @t1))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------