%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV283-2 : 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 : n004.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 09:00:57 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV283-2 : 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 : n004.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 20:01:22 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Unsatisfiable % 0.37/0.59 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.v_xc $$unsorted) % 0.37/0.60 (declare-const tptp.v_xd (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.tc_nat $$unsorted) % 0.37/0.60 (declare-const tptp.v_sko__upX (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.37/0.60 (declare-const tptp.c_emptyset $$unsorted) % 0.37/0.60 (declare-const tptp.c_Event_Oused (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.v_x $$unsorted) % 0.37/0.60 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.v_list $$unsorted) % 0.37/0.60 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (define @t1 () (@var "V_U" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "V_msg" $$unsorted)) % 0.37/0.60 (define @t3 () (tptp.c_Message_Omsg_ONonce @t1)) % 0.37/0.60 (define @t4 () (forall (@list @t1 @t2) (or (not (tptp.c_in @t3 (tptp.c_Message_Oparts (tptp.c_insert @t2 tptp.c_emptyset tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.v_sko__upX @t2) @t1 tptp.tc_nat))))) % 0.37/0.60 (define @t5 () (@var "V_n" $$unsorted)) % 0.37/0.60 (define @t6 () (@var "V_k" $$unsorted)) % 0.37/0.60 (define @t7 () (@var "V_m" $$unsorted)) % 0.37/0.60 (define @t8 () (not (tptp.c_lessequals (tptp.c_plus @t7 @t6 tptp.tc_nat) @t5 tptp.tc_nat))) % 0.37/0.60 (define @t9 () (@list @t7 @t6 @t5)) % 0.37/0.60 (define @t10 () (tptp.c_Event_Oused tptp.v_list)) % 0.37/0.60 (define @t11 () (@list @t1)) % 0.37/0.60 (define @t12 () (tptp.v_xd @t1)) % 0.37/0.60 (define @t13 () (tptp.c_lessequals @t1 @t12 tptp.tc_nat)) % 0.37/0.60 (define @t14 () (@var "V_W" $$unsorted)) % 0.37/0.60 (define @t15 () (tptp.c_lessequals @t14 (tptp.v_xd @t14) tptp.tc_nat)) % 0.37/0.60 (define @t16 () (forall (@list @t14 @t1) (or @t15 @t13))) % 0.37/0.60 (define @t17 () (tptp.c_Message_Oparts (tptp.c_insert tptp.v_xc tptp.c_emptyset tptp.tc_Message_Omsg))) % 0.37/0.60 (define @t18 () (tptp.c_Message_Omsg_ONonce @t12)) % 0.37/0.60 (define @t19 () (tptp.c_in @t18 @t17 tptp.tc_Message_Omsg)) % 0.37/0.60 (define @t20 () (tptp.c_in @t18 @t10 tptp.tc_Message_Omsg)) % 0.37/0.60 (define @t21 () (@var "V_X" $$unsorted)) % 0.37/0.60 (define @t22 () (tptp.c_Message_Omsg_ONonce (tptp.v_xd @t21))) % 0.37/0.60 (define @t23 () (tptp.c_in @t22 @t17 tptp.tc_Message_Omsg)) % 0.37/0.60 (define @t24 () (tptp.c_in @t22 @t10 tptp.tc_Message_Omsg)) % 0.37/0.60 (define @t25 () (or @t24 @t23 @t20 @t19)) % 0.37/0.60 (define @t26 () (@list @t21 @t1)) % 0.37/0.60 (define @t27 () (forall @t26 @t25)) % 0.37/0.60 (define @t28 () (tptp.v_sko__upX tptp.v_xc)) % 0.37/0.60 (define @t29 () (tptp.c_plus tptp.v_x @t28 tptp.tc_nat)) % 0.37/0.60 (define @t30 () (tptp.v_xd @t29)) % 0.37/0.60 (define @t31 () (@list tptp.v_x @t28 @t30)) % 0.37/0.60 (define @t32 () (forall (@list @t14) @t15)) % 0.37/0.60 (define @t33 () (@list @t1)) % 0.37/0.60 (define @t34 () (forall @t11 @t13)) % 0.37/0.60 (define @t35 () (@list true)) % 0.37/0.60 (define @t36 () (@list @t29)) % 0.37/0.60 (define @t37 () (tptp.c_lessequals @t28 @t30 tptp.tc_nat)) % 0.37/0.60 (define @t38 () (tptp.c_lessequals @t29 @t30 tptp.tc_nat)) % 0.37/0.60 (define @t39 () (not @t38)) % 0.37/0.60 (define @t40 () (or @t39 @t37)) % 0.37/0.60 (define @t41 () (@list false false)) % 0.37/0.60 (define @t42 () (or @t24 @t23)) % 0.37/0.60 (define @t43 () (forall (@list @t21) @t42)) % 0.37/0.60 (define @t44 () (or @t20 @t19)) % 0.37/0.60 (define @t45 () (forall @t11 @t44)) % 0.37/0.60 (define @t46 () (or @t42 @t44)) % 0.37/0.60 (define @t47 () (tptp.c_lessequals tptp.v_x @t30 tptp.tc_nat)) % 0.37/0.60 (define @t48 () (or @t39 @t47)) % 0.37/0.60 (define @t49 () (not @t47)) % 0.37/0.60 (define @t50 () (tptp.c_Message_Omsg_ONonce @t30)) % 0.37/0.60 (define @t51 () (tptp.c_in @t50 @t10 tptp.tc_Message_Omsg)) % 0.37/0.60 (define @t52 () (not @t51)) % 0.37/0.60 (define @t53 () (or @t52 @t49)) % 0.37/0.60 (define @t54 () (tptp.c_in @t50 @t17 tptp.tc_Message_Omsg)) % 0.37/0.60 (define @t55 () (or @t51 @t54)) % 0.37/0.60 (define @t56 () (@list true false)) % 0.37/0.60 (define @t57 () (not @t37)) % 0.37/0.60 (define @t58 () (not @t54)) % 0.37/0.60 (define @t59 () (or @t58 @t57)) % 0.37/0.60 (define @t60 () (not @t59)) % 0.37/0.60 (assume @p1 @t4) % 0.37/0.60 (assume @p2 (forall @t9 (or @t8 (tptp.c_lessequals @t6 @t5 tptp.tc_nat)))) % 0.37/0.60 (assume @p3 (forall @t9 (or @t8 (tptp.c_lessequals @t7 @t5 tptp.tc_nat)))) % 0.37/0.60 (assume @p4 (forall @t11 (or (not (tptp.c_in @t3 @t10 tptp.tc_Message_Omsg)) (not (tptp.c_lessequals tptp.v_x @t1 tptp.tc_nat))))) % 0.37/0.60 (assume @p5 @t16) % 0.37/0.60 (assume @p6 @t27) % 0.37/0.60 (step @p7 :rule instantiate :premises (@p2) :args (@t31)) % 0.37/0.60 (step @p8 :rule alpha_equiv :args (@t32 (@list @t14) @t33)) % 0.37/0.60 (step @p9 :rule equiv_elim2 :premises (@p8)) % 0.37/0.60 (step @p10 :rule quant-miniscope-or :args ((= @t16 (or @t32 @t34)))) % 0.37/0.60 (step @p11 :rule eq_resolve :premises (@p5 @p10)) % 0.37/0.60 (step @p12 :rule chain_m_resolution :premises (@p11 @p9) :args (@t32 @t35 (@list @t34))) % 0.37/0.60 (step @p13 :rule instantiate :premises (@p12) :args (@t36)) % 0.37/0.60 (step @p14 :rule cnf_or_pos :args (@t40)) % 0.37/0.60 (step @p15 :rule reordering :premises (@p14) :args ((or @t39 @t37 (not @t40)))) % 0.37/0.60 (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p7) :args (@t37 @t41 (@list @t38 @t40))) % 0.37/0.60 (step @p17 :rule alpha_equiv :args (@t43 (@list @t21) @t33)) % 0.37/0.60 (step @p18 :rule equiv_elim2 :premises (@p17)) % 0.37/0.60 (step @p19 :rule quant-miniscope-or :args ((= (forall @t26 @t46) (or @t43 @t45)))) % 0.37/0.60 (step @p20 :rule aci_norm :args ((= @t25 @t46))) % 0.37/0.60 (step @p21 :rule cong :premises (@p20) :args (@t27)) % 0.37/0.60 (step @p22 :rule trans :premises (@p21 @p19)) % 0.37/0.60 (step @p23 :rule eq_resolve :premises (@p6 @p22)) % 0.37/0.60 (step @p24 :rule chain_m_resolution :premises (@p23 @p18) :args (@t43 @t35 (@list @t45))) % 0.37/0.60 (step @p25 :rule instantiate :premises (@p24) :args (@t36)) % 0.37/0.60 (step @p26 :rule instantiate :premises (@p4) :args ((@list @t30))) % 0.37/0.60 (step @p27 :rule instantiate :premises (@p3) :args (@t31)) % 0.37/0.60 (step @p28 :rule cnf_or_pos :args (@t48)) % 0.37/0.60 (step @p29 :rule reordering :premises (@p28) :args ((or @t39 @t47 (not @t48)))) % 0.37/0.60 (step @p30 :rule chain_m_resolution :premises (@p29 @p13 @p27) :args (@t47 @t41 (@list @t38 @t48))) % 0.37/0.60 (step @p31 :rule cnf_or_pos :args (@t53)) % 0.37/0.60 (step @p32 :rule reordering :premises (@p31) :args ((or @t52 @t49 (not @t53)))) % 0.37/0.60 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p26) :args (@t52 @t41 (@list @t47 @t53))) % 0.37/0.60 (step @p34 :rule cnf_or_pos :args (@t55)) % 0.37/0.60 (step @p35 :rule reordering :premises (@p34) :args ((or @t51 @t54 (not @t55)))) % 0.37/0.60 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p25) :args (@t54 @t56 (@list @t51 @t55))) % 0.37/0.60 (step @p37 :rule cnf_or_pos :args (@t59)) % 0.37/0.60 (step @p38 :rule reordering :premises (@p37) :args ((or @t58 @t57 @t60))) % 0.37/0.60 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p16) :args (@t60 @t41 (@list @t54 @t37))) % 0.37/0.60 (assume-push @p46 @t4) % 0.37/0.60 (step @p41 :rule instantiate :premises (@p1) :args ((@list @t30 tptp.v_xc))) % 0.37/0.60 (step-pop @p47 :rule scope :premises (@p41)) % 0.37/0.60 (step @p42 :rule process_scope :premises (@p47) :args (@t59)) % 0.37/0.60 (step @p44 :rule implies_elim :premises (@p42)) % 0.37/0.60 (step @p45 false :rule chain_m_resolution :premises (@p44 @p39 @p1) :args (false @t56 (@list @t59 @t4))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------