TSTP Solution File: SWV261-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV261-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 21:50:01 EDT 2023
% Result : Unsatisfiable 0.46s 0.64s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV261-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 05:32:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.aXJwTJw1b5/cvc5---1.0.5_13471.p...
% 0.20/0.49 ------- get file name : TPTP file name is SWV261-2
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13471.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.46/0.64 % SZS status Unsatisfiable for SWV261-2
% 0.46/0.64 % SZS output start Proof for SWV261-2
% 0.46/0.64 (
% 0.46/0.64 (let ((_let_1 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_C _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (tptp.c_lessequals V_A V_C _let_1)))))) (let ((_let_2 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_B T_a)) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_3 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_4 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a)) (tptp.c_in V_a V_A T_a) (= V_a V_b))))) (let ((_let_5 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))) (let ((_let_6 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))) (let ((_let_7 (forall ((V_G $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.tc_Message_Omsg))) (or (not (tptp.c_lessequals V_G V_H _let_1)) (tptp.c_lessequals (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) _let_1)))))) (let ((_let_8 (forall ((V_G $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg)) (tptp.c_union (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (tptp.tc_set tptp.tc_Message_Omsg))))) (let ((_let_9 (tptp.tc_set tptp.tc_Message_Omsg))) (let ((_let_10 (tptp.c_union (tptp.c_Message_Oparts tptp.v_G) (tptp.c_Message_Oparts tptp.v_H) tptp.tc_Message_Omsg))) (let ((_let_11 (tptp.c_insert tptp.v_X tptp.v_H tptp.tc_Message_Omsg))) (let ((_let_12 (tptp.c_Message_Oparts _let_11))) (let ((_let_13 (tptp.c_lessequals _let_12 _let_10 _let_9))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c_in tptp.v_X tptp.v_G tptp.tc_Message_Omsg))) (let ((_let_16 (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg))) (let ((_let_17 (tptp.c_Main_OsubsetI__1 _let_11 _let_16 tptp.tc_Message_Omsg))) (let ((_let_18 (tptp.c_in _let_17 tptp.v_G tptp.tc_Message_Omsg))) (let ((_let_19 (= tptp.v_X _let_17))) (let ((_let_20 (ASSUME :args (_let_15)))) (let ((_let_21 (tptp.c_in _let_17 _let_16 tptp.tc_Message_Omsg))) (let ((_let_22 (not _let_18))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (_let_5))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (tptp.c_lessequals _let_11 _let_16 _let_9))) (let ((_let_27 (not _let_21))) (let ((_let_28 (or _let_27 _let_26))) (let ((_let_29 (_let_2))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (tptp.c_Message_Oparts _let_16))) (let ((_let_32 (tptp.c_lessequals _let_12 _let_31 _let_9))) (let ((_let_33 (not _let_26))) (let ((_let_34 (or _let_33 _let_32))) (let ((_let_35 (_let_7))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (not _let_32))) (let ((_let_38 (tptp.c_lessequals _let_31 _let_10 _let_9))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_13))) (let ((_let_41 (_let_1))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (tptp.tc_set T_a))) (let ((_let_44 (_let_8))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_32 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_13 _let_39 _let_37 (not _let_40)))) (ASSUME :args (_let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.v_G tptp.v_H QUANTIFIERS_INST_E_MATCHING ((tptp.c_union (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :args _let_44)) _let_45 :args (_let_38 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_31 _let_10 tptp.tc_Message_Omsg _let_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_B V_C _let_43) false)) (not (= (tptp.c_lessequals V_A V_B _let_43) false))))) :args _let_41)) _let_42 :args (_let_40 false _let_1)) :args (_let_37 true _let_13 false _let_38 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_11 _let_16 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H)))) :args _let_35)) _let_36 :args (_let_34 false _let_7)) :args (_let_33 true _let_32 false _let_34)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_26 _let_27 (not _let_28)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_11 _let_16 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) :args _let_29)) _let_30 :args (_let_28 false _let_2)) :args (_let_27 true _let_26 false _let_28)))) (let ((_let_48 (tptp.c_in _let_17 tptp.v_H tptp.tc_Message_Omsg))) (let ((_let_49 (tptp.c_in _let_17 _let_11 tptp.tc_Message_Omsg))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48 _let_19))) (let ((_let_52 (_let_4))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (not _let_48))) (let ((_let_55 (or _let_54 _let_21))) (let ((_let_56 (_let_6))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (or _let_49 _let_26))) (let ((_let_59 (_let_3))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (ASSUME :args (_let_22)))) (let ((_let_62 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_61 _let_62 _let_20) :args (_let_15 _let_22 _let_19)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_20)) (CONG (SYMM (SYMM _let_62)) (REFL :args (tptp.v_G)) (REFL :args (tptp.tc_Message_Omsg)) :args (APPLY_UF tptp.c_in)) (FALSE_INTRO _let_61))) :args (_let_22 _let_19 _let_15)) :args ((not (and _let_15 _let_22 _let_19)) SB_LITERAL))) (CONG (REFL :args ((not _let_15))) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) (REFL :args ((not _let_19))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_48 _let_19 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_26 _let_49 (not _let_58)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_11 _let_16 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) :args _let_59)) _let_60 :args (_let_58 false _let_3)) :args (_let_49 true _let_26 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_21 _let_54 (not _let_55)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_17 tptp.v_H tptp.tc_Message_Omsg tptp.v_G QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a) true))))) :args _let_56)) _let_57 :args (_let_55 false _let_6)) :args (_let_54 true _let_21 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_17 tptp.v_X tptp.v_H tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a) false))))) :args _let_52))) _let_53 :args (_let_51 false _let_4)) :args (_let_19 false _let_49 true _let_48 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_21 _let_22 (not _let_23)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_17 tptp.v_G tptp.tc_Message_Omsg tptp.v_H QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a) true))))) :args _let_24)) _let_25 :args (_let_23 false _let_5)) :args (_let_22 true _let_21 false _let_23)) _let_20 :args (false false _let_19 true _let_18 false _let_15)) :args (_let_15 _let_14 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.46/0.64 )
% 0.46/0.65 % SZS output end Proof for SWV261-2
% 0.46/0.65 % cvc5---1.0.5 exiting
% 0.46/0.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------