%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV255-2 : 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 : n016.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 09:00:51 AM UTC 2026 % Result : Unsatisfiable 15.31s 15.59s % Output : Proof 15.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV255-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n016.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 20:00:39 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.31/15.56 --- Run --no-e-matching --full-saturate-quant at 6... % 15.31/15.59 % SZS status Unsatisfiable % 15.31/15.59 % SZS output start Proof % 15.31/15.59 ( % 15.31/15.59 (declare-sort $$unsorted 0) % 15.31/15.59 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.31/15.59 (declare-const tptp.tc_nat $$unsorted) % 15.31/15.59 (declare-const tptp.v_xb (-> $$unsorted $$unsorted)) % 15.31/15.59 (declare-const tptp.v_x $$unsorted) % 15.31/15.59 (declare-const tptp.tc_Message_Omsg $$unsorted) % 15.31/15.59 (declare-const tptp.c_emptyset $$unsorted) % 15.31/15.59 (declare-const tptp.v_msg1 $$unsorted) % 15.31/15.59 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.31/15.59 (declare-const tptp.v_msg2 $$unsorted) % 15.31/15.59 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 15.31/15.59 (declare-const tptp.v_xa $$unsorted) % 15.31/15.59 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.31/15.59 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 15.31/15.59 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.31/15.59 (define @t1 () (@var "V_U" $$unsorted)) % 15.31/15.59 (define @t2 () (tptp.v_xb @t1)) % 15.31/15.59 (define @t3 () (@list @t1)) % 15.31/15.59 (define @t4 () (tptp.c_Message_Oparts (tptp.c_insert tptp.v_msg1 tptp.c_emptyset tptp.tc_Message_Omsg))) % 15.31/15.59 (define @t5 () (tptp.c_Message_Omsg_ONonce @t1)) % 15.31/15.59 (define @t6 () (tptp.c_Message_Oparts (tptp.c_insert tptp.v_msg2 tptp.c_emptyset tptp.tc_Message_Omsg))) % 15.31/15.59 (define @t7 () (tptp.c_Message_Omsg_ONonce @t2)) % 15.31/15.59 (define @t8 () (@var "V_n" $$unsorted)) % 15.31/15.59 (define @t9 () (@var "V_k" $$unsorted)) % 15.31/15.59 (define @t10 () (@var "V_m" $$unsorted)) % 15.31/15.59 (define @t11 () (not (tptp.c_lessequals (tptp.c_plus @t10 @t9 tptp.tc_nat) @t8 tptp.tc_nat))) % 15.31/15.59 (define @t12 () (@list @t10 @t9 @t8)) % 15.31/15.59 (define @t13 () (forall @t12 (or @t11 (tptp.c_lessequals @t10 @t8 tptp.tc_nat)))) % 15.31/15.59 (define @t14 () (tptp.c_plus tptp.v_x tptp.v_xa tptp.tc_nat)) % 15.31/15.59 (define @t15 () (tptp.v_xb @t14)) % 15.31/15.59 (define @t16 () (@list @t15)) % 15.31/15.59 (define @t17 () (@list @t14)) % 15.31/15.59 (define @t18 () (@list tptp.v_x tptp.v_xa @t15)) % 15.31/15.59 (define @t19 () (tptp.c_lessequals tptp.v_xa @t15 tptp.tc_nat)) % 15.31/15.59 (define @t20 () (tptp.c_lessequals @t14 @t15 tptp.tc_nat)) % 15.31/15.59 (define @t21 () (not @t20)) % 15.31/15.59 (define @t22 () (or @t21 @t19)) % 15.31/15.59 (define @t23 () (@list false false)) % 15.31/15.59 (define @t24 () (not @t19)) % 15.31/15.59 (define @t25 () (tptp.c_Message_Omsg_ONonce @t15)) % 15.31/15.59 (define @t26 () (tptp.c_in @t25 @t6 tptp.tc_Message_Omsg)) % 15.31/15.59 (define @t27 () (not @t26)) % 15.31/15.59 (define @t28 () (or @t27 @t24)) % 15.31/15.59 (define @t29 () (tptp.c_in @t25 @t4 tptp.tc_Message_Omsg)) % 15.31/15.59 (define @t30 () (or @t26 @t29)) % 15.31/15.59 (define @t31 () (@list true false)) % 15.31/15.59 (define @t32 () (tptp.c_lessequals tptp.v_x @t15 tptp.tc_nat)) % 15.31/15.59 (define @t33 () (not @t32)) % 15.31/15.59 (define @t34 () (not @t29)) % 15.31/15.59 (define @t35 () (or @t34 @t33)) % 15.31/15.59 (define @t36 () (or @t21 @t32)) % 15.31/15.59 (define @t37 () (not @t36)) % 15.31/15.59 (assume @p1 (forall @t3 (tptp.c_lessequals @t1 @t2 tptp.tc_nat))) % 15.31/15.59 (assume @p2 (forall @t3 (or (not (tptp.c_in @t5 @t4 tptp.tc_Message_Omsg)) (not (tptp.c_lessequals tptp.v_x @t1 tptp.tc_nat))))) % 15.31/15.59 (assume @p3 (forall @t3 (or (not (tptp.c_in @t5 @t6 tptp.tc_Message_Omsg)) (not (tptp.c_lessequals tptp.v_xa @t1 tptp.tc_nat))))) % 15.31/15.59 (assume @p4 (forall @t3 (or (tptp.c_in @t7 @t6 tptp.tc_Message_Omsg) (tptp.c_in @t7 @t4 tptp.tc_Message_Omsg)))) % 15.31/15.59 (assume @p5 (forall @t12 (or @t11 (tptp.c_lessequals @t9 @t8 tptp.tc_nat)))) % 15.31/15.59 (assume @p6 @t13) % 15.31/15.59 (step @p7 :rule instantiate :premises (@p2) :args (@t16)) % 15.31/15.59 (step @p8 :rule instantiate :premises (@p4) :args (@t17)) % 15.31/15.59 (step @p9 :rule instantiate :premises (@p3) :args (@t16)) % 15.31/15.59 (step @p10 :rule instantiate :premises (@p5) :args (@t18)) % 15.31/15.59 (step @p11 :rule instantiate :premises (@p1) :args (@t17)) % 15.31/15.59 (step @p12 :rule cnf_or_pos :args (@t22)) % 15.31/15.59 (step @p13 :rule reordering :premises (@p12) :args ((or @t21 @t19 (not @t22)))) % 15.31/15.59 (step @p14 :rule chain_m_resolution :premises (@p13 @p11 @p10) :args (@t19 @t23 (@list @t20 @t22))) % 15.31/15.59 (step @p15 :rule cnf_or_pos :args (@t28)) % 15.31/15.59 (step @p16 :rule reordering :premises (@p15) :args ((or @t27 @t24 (not @t28)))) % 15.31/15.59 (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p9) :args (@t27 @t23 (@list @t19 @t28))) % 15.31/15.59 (step @p18 :rule cnf_or_pos :args (@t30)) % 15.31/15.59 (step @p19 :rule reordering :premises (@p18) :args ((or @t26 @t29 (not @t30)))) % 15.31/15.59 (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p8) :args (@t29 @t31 (@list @t26 @t30))) % 15.31/15.59 (step @p21 :rule cnf_or_pos :args (@t35)) % 15.31/15.59 (step @p22 :rule reordering :premises (@p21) :args ((or @t34 @t33 (not @t35)))) % 15.31/15.59 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p7) :args (@t33 @t23 (@list @t29 @t35))) % 15.31/15.59 (step @p24 :rule cnf_or_pos :args (@t36)) % 15.31/15.59 (step @p25 :rule reordering :premises (@p24) :args ((or @t21 @t32 @t37))) % 15.31/15.59 (step @p26 :rule chain_m_resolution :premises (@p25 @p11 @p23) :args (@t37 (@list false true) (@list @t20 @t32))) % 15.31/15.59 (assume-push @p33 @t13) % 15.31/15.59 (step @p28 :rule instantiate :premises (@p6) :args (@t18)) % 15.31/15.59 (step-pop @p34 :rule scope :premises (@p28)) % 15.31/15.59 (step @p29 :rule process_scope :premises (@p34) :args (@t36)) % 15.31/15.59 (step @p31 :rule implies_elim :premises (@p29)) % 15.31/15.59 (step @p32 false :rule chain_m_resolution :premises (@p31 @p26 @p6) :args (false @t31 (@list @t36 @t13))) % 15.31/15.59 ) % 15.31/15.59 % SZS output end Proof % 15.31/15.59 % cvc5 exiting %------------------------------------------------------------------------------