%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV302-2 : 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 : n007.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 09:01:01 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV302-2 : 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 % 0.16/0.35 % Computer : n007.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 20:01:26 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.37/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.37/0.57 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_x $$unsorted) % 0.37/0.57 (declare-const tptp.v_NBa $$unsorted) % 0.37/0.57 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.37/0.57 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_NB $$unsorted) % 0.37/0.57 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.37/0.57 (declare-const tptp.v_K $$unsorted) % 0.37/0.57 (declare-const tptp.v_NA $$unsorted) % 0.37/0.57 (declare-const tptp.v_evs2 $$unsorted) % 0.37/0.57 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_A $$unsorted) % 0.37/0.57 (declare-const tptp.v_B $$unsorted) % 0.37/0.57 (declare-const tptp.c_Event_Oused (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (define @t1 () (tptp.c_Message_Omsg_ONonce tptp.v_NBa)) % 0.37/0.57 (define @t2 () (= tptp.v_NB @t1)) % 0.37/0.57 (define @t3 () (tptp.c_List_Oset tptp.v_evs2 tptp.tc_Event_Oevent)) % 0.37/0.57 (define @t4 () (tptp.c_Message_Omsg_OAgent tptp.v_B)) % 0.37/0.57 (define @t5 () (tptp.c_Message_Omsg_OAgent tptp.v_A)) % 0.37/0.57 (define @t6 () (tptp.c_Public_OshrK tptp.v_B)) % 0.37/0.57 (define @t7 () (tptp.c_Message_Omsg_OCrypt @t6 (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OMPair @t5 @t4))))) % 0.37/0.57 (define @t8 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t5 (tptp.c_Message_Omsg_OMPair @t4 (tptp.c_Message_Omsg_OMPair tptp.v_x @t7))))) @t3 tptp.tc_Event_Oevent)) % 0.37/0.57 (define @t9 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs2)) % 0.37/0.57 (define @t10 () (tptp.c_Message_Oparts @t9)) % 0.37/0.57 (define @t11 () (tptp.c_Message_Omsg_OKey tptp.v_K)) % 0.37/0.57 (define @t12 () (tptp.c_Message_Omsg_OMPair tptp.v_NB @t11)) % 0.37/0.57 (define @t13 () (tptp.c_Message_Omsg_OCrypt @t6 @t12)) % 0.37/0.57 (define @t14 () (tptp.c_in @t13 @t10 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t15 () (not @t14)) % 0.37/0.57 (define @t16 () (@var "V_U" $$unsorted)) % 0.37/0.57 (define @t17 () (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t5 (tptp.c_Message_Omsg_OMPair @t4 (tptp.c_Message_Omsg_OMPair @t16 @t7))))) @t3 tptp.tc_Event_Oevent))) % 0.37/0.57 (define @t18 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA @t11)) @t13))) @t3 tptp.tc_Event_Oevent)) % 0.37/0.57 (define @t19 () (or @t18 @t17 @t15)) % 0.37/0.57 (define @t20 () (@list @t16)) % 0.37/0.57 (define @t21 () (forall @t20 @t19)) % 0.37/0.57 (define @t22 () (tptp.c_in @t1 (tptp.c_Event_Oused tptp.v_evs2) tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t23 () (@var "V_evs" $$unsorted)) % 0.37/0.57 (define @t24 () (@var "V_c" $$unsorted)) % 0.37/0.57 (define @t25 () (@var "V_H" $$unsorted)) % 0.37/0.57 (define @t26 () (tptp.c_Message_Oparts @t25)) % 0.37/0.57 (define @t27 () (@var "V_X" $$unsorted)) % 0.37/0.57 (define @t28 () (tptp.c_in @t27 @t26 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t29 () (@var "V_Y" $$unsorted)) % 0.37/0.57 (define @t30 () (@var "V_K" $$unsorted)) % 0.37/0.57 (define @t31 () (forall @t20 @t17)) % 0.37/0.57 (define @t32 () (or @t18 @t15 @t17)) % 0.37/0.57 (define @t33 () (@list true false)) % 0.37/0.57 (define @t34 () (tptp.c_in @t12 @t10 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t35 () (or @t15 @t34)) % 0.37/0.57 (define @t36 () (@list false false)) % 0.37/0.57 (define @t37 () (tptp.c_in tptp.v_NB @t10 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t38 () (not @t34)) % 0.37/0.57 (define @t39 () (or @t38 @t37)) % 0.37/0.57 (define @t40 () (tptp.c_in @t1 @t10 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t41 () (not @t40)) % 0.37/0.57 (define @t42 () (or @t41 @t22)) % 0.37/0.57 (define @t43 () (not @t37)) % 0.37/0.57 (define @t44 () (not @t2)) % 0.37/0.57 (define @t45 () (and @t37 @t2 @t41)) % 0.37/0.57 (define @t46 () (not @t8)) % 0.37/0.57 (assume @p1 (or @t8 @t2)) % 0.37/0.57 (assume @p2 @t21) % 0.37/0.57 (assume @p3 (not @t22)) % 0.37/0.57 (assume @p4 @t14) % 0.37/0.57 (assume @p5 (not @t18)) % 0.37/0.57 (assume @p6 (forall (@list @t24 @t23) (or (not (tptp.c_in @t24 (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t23)) tptp.tc_Message_Omsg)) (tptp.c_in @t24 (tptp.c_Event_Oused @t23) tptp.tc_Message_Omsg)))) % 0.37/0.57 (assume @p7 (forall (@list @t27 @t29 @t25) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair @t27 @t29) @t26 tptp.tc_Message_Omsg)) @t28))) % 0.37/0.57 (assume @p8 (forall (@list @t30 @t27 @t25) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt @t30 @t27) @t26 tptp.tc_Message_Omsg)) @t28))) % 0.37/0.57 (step @p9 :rule quant-miniscope-or :args ((= (forall @t20 @t32) (or @t18 @t15 @t31)))) % 0.37/0.57 (step @p10 :rule aci_norm :args ((= @t19 @t32))) % 0.37/0.57 (step @p11 :rule cong :premises (@p10) :args (@t21)) % 0.37/0.57 (step @p12 :rule trans :premises (@p11 @p9)) % 0.37/0.57 (step @p13 :rule eq_resolve :premises (@p2 @p12)) % 0.37/0.57 (step @p14 :rule chain_m_resolution :premises (@p13 @p5 @p4) :args (@t31 @t33 (@list @t18 @t14))) % 0.37/0.57 (step @p15 :rule instantiate :premises (@p7) :args ((@list tptp.v_NB @t11 @t9))) % 0.37/0.57 (step @p16 :rule instantiate :premises (@p8) :args ((@list @t6 @t12 @t9))) % 0.37/0.57 (step @p17 :rule cnf_or_pos :args (@t35)) % 0.37/0.57 (step @p18 :rule reordering :premises (@p17) :args ((or @t15 @t34 (not @t35)))) % 0.37/0.57 (step @p19 :rule chain_m_resolution :premises (@p18 @p4 @p16) :args (@t34 @t36 (@list @t14 @t35))) % 0.37/0.57 (step @p20 :rule cnf_or_pos :args (@t39)) % 0.37/0.57 (step @p21 :rule reordering :premises (@p20) :args ((or @t38 @t37 (not @t39)))) % 0.37/0.57 (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p15) :args (@t37 @t36 (@list @t34 @t39))) % 0.37/0.57 (step @p23 :rule instantiate :premises (@p6) :args ((@list @t1 tptp.v_evs2))) % 0.37/0.57 (step @p24 :rule cnf_or_pos :args (@t42)) % 0.37/0.57 (step @p25 :rule reordering :premises (@p24) :args ((or @t22 @t41 (not @t42)))) % 0.37/0.57 (step @p26 :rule chain_m_resolution :premises (@p25 @p3 @p23) :args (@t41 @t33 (@list @t22 @t42))) % 0.37/0.57 (step @p27 :rule refl :args (@t43)) % 0.37/0.57 (step @p28 :rule bool-double-not-elim :args (@t40)) % 0.37/0.57 (step @p29 :rule refl :args (@t44)) % 0.37/0.57 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args ((or @t44 (not @t41) @t43))) % 0.37/0.57 (assume-push @p69 @t37) % 0.37/0.57 (assume-push @p70 @t2) % 0.37/0.57 (assume-push @p71 @t41) % 0.37/0.57 (step @p34 :rule evaluate :args ((= false true))) % 0.37/0.57 (step @p35 :rule true_intro :premises (@p22)) % 0.37/0.57 (step @p36 :rule refl :args (tptp.tc_Message_Omsg)) % 0.37/0.57 (step @p37 :rule refl :args (@t10)) % 0.37/0.57 (step @p38 :rule symm :premises (@p70)) % 0.37/0.57 (step @p39 :rule cong :premises (@p38 @p37 @p36) :args (@t40)) % 0.37/0.57 (step @p40 :rule false_intro :premises (@p26)) % 0.37/0.57 (step @p41 :rule symm :premises (@p40)) % 0.37/0.57 (step @p42 :rule trans :premises (@p41 @p39 @p35)) % 0.37/0.57 (step @p43 false :rule eq_resolve :premises (@p42 @p34)) % 0.37/0.57 (step-pop @p72 :rule scope :premises (@p43)) % 0.37/0.57 (step-pop @p73 :rule scope :premises (@p72)) % 0.37/0.57 (step-pop @p74 :rule scope :premises (@p73)) % 0.37/0.57 (step @p44 :rule process_scope :premises (@p74) :args (false)) % 0.37/0.57 (assume-push @p75 @t2) % 0.37/0.57 (assume-push @p76 @t41) % 0.37/0.57 (assume-push @p77 @t37) % 0.37/0.57 (step @p51 :rule and_intro :premises (@p22 @p75 @p26)) % 0.37/0.57 (step-pop @p78 :rule scope :premises (@p51)) % 0.37/0.57 (step-pop @p79 :rule scope :premises (@p78)) % 0.37/0.57 (step-pop @p80 :rule scope :premises (@p79)) % 0.37/0.57 (step @p52 :rule process_scope :premises (@p80) :args (@t45)) % 0.37/0.57 (step @p56 :rule implies_elim :premises (@p52)) % 0.37/0.57 (step @p57 :rule resolution :premises (@p56 @p44) :args (true @t45)) % 0.37/0.57 (step @p58 :rule not_and :premises (@p57)) % 0.37/0.57 (step @p59 :rule eq_resolve :premises (@p58 @p30)) % 0.37/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p26 @p22) :args (@t44 @t33 (@list @t40 @t37))) % 0.37/0.57 (step @p61 :rule chain_m_resolution :premises (@p1 @p60) :args (@t8 (@list true) (@list @t2))) % 0.37/0.57 (assume-push @p81 @t31) % 0.37/0.57 (step @p63 :rule instantiate :premises (@p14) :args ((@list tptp.v_x))) % 0.37/0.57 (step-pop @p82 :rule scope :premises (@p63)) % 0.37/0.57 (step @p64 :rule process_scope :premises (@p82) :args (@t46)) % 0.37/0.57 (step @p66 :rule implies_elim :premises (@p64)) % 0.37/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t46 (not @t31)))) % 0.37/0.57 (step @p68 false :rule chain_m_resolution :premises (@p67 @p61 @p14) :args (false @t36 (@list @t8 @t31))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------