TSTP Solution File: SWV283-2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV283-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 : Thu Aug 31 21:50:12 EDT 2023
% Result : Unsatisfiable 0.23s 0.62s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV283-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 05:52:54 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.75UoFCLdr3/cvc5---1.0.5_9292.p...
% 0.23/0.51 ------- get file name : TPTP file name is SWV283-2
% 0.23/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9292.smt2...
% 0.23/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.62 % SZS status Unsatisfiable for SWV283-2
% 0.23/0.62 % SZS output start Proof for SWV283-2
% 0.23/0.62 (
% 0.23/0.62 (let ((_let_1 (forall ((V_X $$unsorted) (V_U $$unsorted)) (let ((_let_1 (tptp.c_Message_Oparts (tptp.c_insert tptp.v_xc tptp.c_emptyset tptp.tc_Message_Omsg)))) (let ((_let_2 (tptp.c_Message_Omsg_ONonce (tptp.v_xd V_U)))) (let ((_let_3 (tptp.c_Event_Oused tptp.v_list))) (let ((_let_4 (tptp.c_Message_Omsg_ONonce (tptp.v_xd V_X)))) (or (tptp.c_in _let_4 _let_3 tptp.tc_Message_Omsg) (tptp.c_in _let_4 _let_1 tptp.tc_Message_Omsg) (tptp.c_in _let_2 _let_3 tptp.tc_Message_Omsg) (tptp.c_in _let_2 _let_1 tptp.tc_Message_Omsg))))))))) (let ((_let_2 (forall ((V_W $$unsorted) (V_U $$unsorted)) (or (tptp.c_lessequals V_W (tptp.v_xd V_W) tptp.tc_nat) (tptp.c_lessequals V_U (tptp.v_xd V_U) tptp.tc_nat))))) (let ((_let_3 (forall ((V_U $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_ONonce V_U) (tptp.c_Event_Oused tptp.v_list) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals tptp.v_x V_U tptp.tc_nat)))))) (let ((_let_4 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_plus V_m V_k tptp.tc_nat) V_n tptp.tc_nat)) (tptp.c_lessequals V_m V_n tptp.tc_nat))))) (let ((_let_5 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_plus V_m V_k tptp.tc_nat) V_n tptp.tc_nat)) (tptp.c_lessequals V_k V_n tptp.tc_nat))))) (let ((_let_6 (forall ((V_U $$unsorted) (V_msg $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_ONonce V_U) (tptp.c_Message_Oparts (tptp.c_insert V_msg tptp.c_emptyset tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.v_sko__upX V_msg) V_U tptp.tc_nat)))))) (let ((_let_7 (tptp.v_sko__upX tptp.v_xc))) (let ((_let_8 (tptp.c_plus tptp.v_x _let_7 tptp.tc_nat))) (let ((_let_9 (tptp.v_xd _let_8))) (let ((_let_10 (tptp.c_lessequals _let_7 _let_9 tptp.tc_nat))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.c_Message_Omsg_ONonce _let_9))) (let ((_let_13 (tptp.c_in _let_12 (tptp.c_Message_Oparts (tptp.c_insert tptp.v_xc tptp.c_emptyset tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_11))) (let ((_let_16 (_let_6))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not _let_15))) (let ((_let_19 (tptp.c_lessequals _let_8 _let_9 tptp.tc_nat))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_10))) (let ((_let_22 (_let_5))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (forall ((V_W $$unsorted)) (tptp.c_lessequals V_W (tptp.v_xd V_W) tptp.tc_nat)))) (let ((_let_25 (_let_24))) (let ((_let_26 (_let_8 QUANTIFIERS_INST_ENUM))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_25) :args _let_26) :args _let_25)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_24 (= V_W V_U)))) :args (_let_24 true (forall ((V_U $$unsorted)) (tptp.c_lessequals V_U (tptp.v_xd V_U) tptp.tc_nat)))) :args (_let_19 false _let_24)))) (let ((_let_28 (tptp.c_in _let_12 (tptp.c_Event_Oused tptp.v_list) tptp.tc_Message_Omsg))) (let ((_let_29 (or _let_28 _let_13))) (let ((_let_30 (forall ((V_X $$unsorted)) (let ((_let_1 (tptp.c_Message_Omsg_ONonce (tptp.v_xd V_X)))) (or (tptp.c_in _let_1 (tptp.c_Event_Oused tptp.v_list) tptp.tc_Message_Omsg) (tptp.c_in _let_1 (tptp.c_Message_Oparts (tptp.c_insert tptp.v_xc tptp.c_emptyset tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))) (let ((_let_31 (_let_30))) (let ((_let_32 (tptp.c_lessequals tptp.v_x _let_9 tptp.tc_nat))) (let ((_let_33 (not _let_32))) (let ((_let_34 (not _let_28))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (_let_3))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (or _let_20 _let_32))) (let ((_let_39 (_let_4))) (let ((_let_40 (ASSUME :args _let_39))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_9 tptp.v_xc QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Message_Omsg_ONonce V_U) (tptp.c_Message_Oparts (tptp.c_insert V_msg tptp.c_emptyset tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) false))))) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_11 _let_18))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_13 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_20 _let_32 (not _let_38)))) _let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.v_x _let_7 _let_9 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_plus V_m V_k tptp.tc_nat) V_n tptp.tc_nat) false))))) :args _let_39)) _let_40 :args (_let_38 false _let_4)) :args (_let_32 false _let_19 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Message_Omsg_ONonce V_U)))) :args _let_36)) _let_37 :args (_let_35 false _let_3)) :args (_let_34 false _let_32 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_31) :args _let_26) :args _let_31)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_30 (= V_X V_U)))) :args (_let_30 true (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.c_Message_Omsg_ONonce (tptp.v_xd V_U)))) (or (tptp.c_in _let_1 (tptp.c_Event_Oused tptp.v_list) tptp.tc_Message_Omsg) (tptp.c_in _let_1 (tptp.c_Message_Oparts (tptp.c_insert tptp.v_xc tptp.c_emptyset tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))) :args (_let_29 false _let_30)) :args (_let_13 true _let_28 false _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_10 (not _let_21)))) _let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.v_x _let_7 _let_9 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_plus V_m V_k tptp.tc_nat) V_n tptp.tc_nat) false))))) :args _let_22)) _let_23 :args (_let_21 false _let_5)) :args (_let_10 false _let_19 false _let_21)) :args (_let_18 false _let_13 false _let_10)) _let_17 :args (false true _let_15 false _let_6)) :args (_let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.62 )
% 0.23/0.62 % SZS output end Proof for SWV283-2
% 0.23/0.62 % cvc5---1.0.5 exiting
% 0.23/0.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------