TSTP Solution File: SET858-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET858-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% 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 : Thu Aug 31 14:40:46 EDT 2023
% Result : Unsatisfiable 0.22s 0.57s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET858-2 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.15 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 14:36:38 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.zr0tFVMqRc/cvc5---1.0.5_17609.p...
% 0.22/0.53 ------- get file name : TPTP file name is SET858-2
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17609.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.57 % SZS status Unsatisfiable for SET858-2
% 0.22/0.57 % SZS output start Proof for SET858-2
% 0.22/0.57 (
% 0.22/0.57 (let ((_let_1 (forall ((V_U $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_m $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_U _let_2 _let_1)) (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_lessequals V_U V_m _let_1)) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_U T_a) V_m _let_1) (= V_U V_m))))))) (let ((_let_2 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (not (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) T_a) V_m _let_1)) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_3 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (not (= (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) V_m)) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_4 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_5 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (tptp.c_in (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) _let_2 _let_1) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_6 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))))) (let ((_let_7 (forall ((V_B $$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_8 (tptp.tc_set tptp.t_a))) (let ((_let_9 (tptp.tc_set _let_8))) (let ((_let_10 (tptp.c_lessequals tptp.v_m tptp.v_n _let_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.c_lessequals tptp.v_n tptp.v_m _let_9))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a))) (let ((_let_15 (tptp.c_in tptp.v_n _let_14 _let_9))) (let ((_let_16 (tptp.c_in tptp.v_m _let_14 _let_9))) (let ((_let_17 (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a))) (let ((_let_18 (tptp.c_lessequals _let_17 tptp.v_n _let_9))) (let ((_let_19 (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S tptp.v_m tptp.t_a))) (let ((_let_20 (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S _let_19 tptp.t_a) tptp.v_m _let_9))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_15))) (let ((_let_23 (not _let_16))) (let ((_let_24 (or _let_23 _let_22 _let_21 _let_12 _let_18))) (let ((_let_25 (_let_2))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (not _let_24))) (let ((_let_28 (tptp.c_lessequals tptp.v_m _let_17 _let_9))) (let ((_let_29 (not _let_28))) (let ((_let_30 (not _let_18))) (let ((_let_31 (or _let_30 _let_29 _let_10))) (let ((_let_32 (_let_7))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (tptp.tc_set T_a))) (let ((_let_35 (_let_6))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_10 _let_29 _let_30 (not _let_31)))) (ASSUME :args (_let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.v_m tptp.v_S tptp.t_a QUANTIFIERS_INST_ENUM)) :args _let_35)) _let_36 :args (_let_28 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_17 tptp.v_n _let_8 tptp.v_m QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B _let_34) false)) (not (= (tptp.c_lessequals V_A V_C _let_34) true))))) :args _let_32)) _let_33 :args (_let_31 false _let_7)) :args (_let_30 true _let_10 false _let_28 false _let_31)))) (let ((_let_38 (= tptp.v_m _let_19))) (let ((_let_39 (tptp.c_lessequals _let_19 tptp.v_m _let_9))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.c_in _let_19 _let_14 _let_9))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_23 _let_40 _let_20 _let_38))) (let ((_let_44 (_let_1))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (or _let_23 _let_22 _let_12 _let_39 _let_18))) (let ((_let_47 (_let_4))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (ASSUME :args (_let_15)))) (let ((_let_50 (ASSUME :args (_let_16)))) (let ((_let_51 (ASSUME :args (_let_13)))) (let ((_let_52 (or _let_23 _let_22 _let_41 _let_12 _let_18))) (let ((_let_53 (_let_5))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (not _let_38))) (let ((_let_56 (or _let_23 _let_22 _let_55 _let_12 _let_18))) (let ((_let_57 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (not (= V_m (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a))) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.v_m tptp.v_S tptp.t_a tptp.v_n QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n (tptp.tc_set (tptp.tc_set T_a))) true))))) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_12 _let_23 _let_22 _let_21 _let_18 _let_27))) _let_51 _let_50 _let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_23 _let_38 _let_20 _let_42 _let_40 (not _let_43)))) _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_12 _let_23 _let_22 _let_55 _let_18 (not _let_56)))) _let_51 _let_50 _let_49 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.v_m tptp.v_S tptp.t_a tptp.v_n QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n (tptp.tc_set (tptp.tc_set T_a))) true))))) :args (_let_57))) _let_58 :args (_let_56 false _let_57)) :args (_let_55 true _let_12 false _let_16 false _let_15 true _let_18 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_12 _let_23 _let_22 _let_41 _let_18 (not _let_52)))) _let_51 _let_50 _let_49 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.v_m tptp.v_S tptp.t_a tptp.v_n QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n (tptp.tc_set (tptp.tc_set T_a))) true))))) :args _let_53)) _let_54 :args (_let_52 false _let_5)) :args (_let_41 true _let_12 false _let_16 false _let_15 true _let_18 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_12 _let_23 _let_22 _let_39 _let_18 (not _let_46)))) _let_51 _let_50 _let_49 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.v_m tptp.v_S tptp.t_a tptp.v_n QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n (tptp.tc_set (tptp.tc_set T_a))) true))))) :args _let_47)) _let_48 :args (_let_46 false _let_4)) :args (_let_39 true _let_12 false _let_16 false _let_15 true _let_18 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_19 tptp.v_S tptp.t_a tptp.v_m QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_U T_a) V_m (tptp.tc_set (tptp.tc_set T_a))) true))))) :args _let_44))) _let_45 :args (_let_43 false _let_1)) :args (_let_20 false _let_16 true _let_38 false _let_41 false _let_39 false _let_43)) _let_37 :args (_let_27 true _let_12 false _let_16 false _let_15 false _let_20 true _let_18)) _let_26 :args (false true _let_24 false _let_2)) :args (_let_16 _let_15 _let_13 _let_11 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.57 )
% 0.22/0.57 % SZS output end Proof for SET858-2
% 0.22/0.57 % cvc5---1.0.5 exiting
% 0.22/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------