TSTP Solution File: SET839-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET839-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 14:40:36 EDT 2023
% Result : Unsatisfiable 0.22s 0.65s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET839-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 12:51:53 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.mCg38LEdF3/cvc5---1.0.5_13390.p...
% 0.22/0.50 ------- get file name : TPTP file name is SET839-2
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13390.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.65 % SZS status Unsatisfiable for SET839-2
% 0.22/0.65 % SZS output start Proof for SET839-2
% 0.22/0.65 (
% 0.22/0.65 (let ((_let_1 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_A V_B)))))) (let ((_let_2 (forall ((V_A $$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 $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_4 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_insert V_x V_B T_a) T_a)))) (let ((_let_5 (forall ((V_U $$unsorted) (V_V $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_lessequals V_U V_V _let_1) (not (tptp.c_in V_V tptp.v_S _let_1)) (not (tptp.c_in V_U tptp.v_S _let_1))))))) (let ((_let_6 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (not (tptp.c_lessequals tptp.v_S (tptp.c_insert V_U tptp.c_emptyset _let_1) (tptp.tc_set _let_1))))))) (let ((_let_7 (tptp.tc_set tptp.t_a))) (let ((_let_8 (tptp.c_insert tptp.v_S tptp.c_emptyset _let_7))) (let ((_let_9 (tptp.c_Main_OsubsetI__1 tptp.v_S _let_8 _let_7))) (let ((_let_10 (tptp.c_insert _let_9 tptp.c_emptyset _let_7))) (let ((_let_11 (tptp.c_in _let_9 _let_10 _let_7))) (let ((_let_12 (tptp.c_Main_OsubsetI__1 tptp.v_S _let_10 _let_7))) (let ((_let_13 (tptp.c_in _let_12 _let_10 _let_7))) (let ((_let_14 (= _let_9 _let_12))) (let ((_let_15 (_let_4))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (tptp.tc_set _let_7))) (let ((_let_18 (tptp.c_lessequals tptp.v_S _let_10 _let_17))) (let ((_let_19 (not _let_13))) (let ((_let_20 (or _let_19 _let_18))) (let ((_let_21 (_let_2))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (_let_6))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_9 QUANTIFIERS_INST_ENUM)) :args _let_23)) _let_24 :args ((not _let_18) false _let_6)))) (let ((_let_26 (tptp.c_lessequals _let_12 _let_9 _let_7))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.c_lessequals _let_9 _let_12 _let_7))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27 _let_14))) (let ((_let_31 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_B V_A)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (tptp.c_in _let_9 tptp.v_S _let_7))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.c_in _let_12 tptp.v_S _let_7))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_28 _let_36 _let_34))) (let ((_let_38 (_let_5))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((not (= (tptp.c_in V_V tptp.v_S _let_7) false)) (not (= (tptp.c_in V_U tptp.v_S _let_7) false))))) (let ((_let_41 (or _let_35 _let_18))) (let ((_let_42 (_let_3))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_18 _let_35 (not _let_41)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.v_S _let_10 _let_7 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_41 false _let_3)) :args (_let_35 true _let_18 false _let_41)))) (let ((_let_46 (tptp.c_lessequals tptp.v_S _let_8 _let_17))) (let ((_let_47 (or _let_33 _let_46))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_33 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.v_S QUANTIFIERS_INST_ENUM)) :args _let_23)) _let_24 :args ((not _let_46) false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.v_S _let_8 _let_7 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_47 false _let_3)) :args (_let_33 true _let_46 false _let_47)))) (let ((_let_49 (or _let_26 _let_34 _let_36))) (let ((_let_50 (not _let_14))) (let ((_let_51 (not _let_11))) (let ((_let_52 (ASSUME :args (_let_19)))) (let ((_let_53 (ASSUME :args (_let_14)))) (let ((_let_54 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_52 _let_53 _let_54) :args (_let_11 _let_19 _let_14)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_54)) (CONG (SYMM (SYMM _let_53)) (REFL :args (_let_10)) (REFL :args (_let_7)) :args (APPLY_UF tptp.c_in)) (FALSE_INTRO _let_52))) :args (_let_19 _let_14 _let_11)) :args ((not (and _let_11 _let_19 _let_14)) SB_LITERAL))) (CONG (REFL :args (_let_51)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_13))) (REFL :args (_let_50)) :args (or))) :args ((or _let_13 _let_51 _let_50))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_27 _let_29 _let_14 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_34 _let_36 _let_26 (not _let_49)))) _let_48 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_12 _let_9 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_49 false _let_5)) :args (_let_26 false _let_33 false _let_35 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_34 _let_36 _let_28 (not _let_37)))) _let_48 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_9 _let_12 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_37 false _let_5)) :args (_let_28 false _let_33 false _let_35 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_9 _let_12 tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_B V_A (tptp.tc_set T_a)) false))))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_14 false _let_26 false _let_28 false _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_18 _let_19 (not _let_20)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.v_S _let_10 _let_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) :args _let_21)) _let_22 :args (_let_20 false _let_2)) :args (_let_19 true _let_18 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_9 tptp.c_emptyset _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_insert V_x V_B T_a)))) :args _let_15)) _let_16 :args (_let_11 false _let_4)) :args (false false _let_14 true _let_13 false _let_11)) :args (_let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.65 )
% 0.22/0.65 % SZS output end Proof for SET839-2
% 0.22/0.66 % cvc5---1.0.5 exiting
% 0.22/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------