%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG092+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 13:49:59 EDT 2023

% Result   : Theorem 10.58s 10.84s
% Output   : Proof 10.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : RNG092+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n017.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   : Sun Aug 27 01:07:26 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 10.58/10.84  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.uTnRsBhij9/cvc5---1.0.5_12735.p...
% 10.58/10.84  ------- get file name : TPTP file name is RNG092+1
% 10.58/10.84  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12735.smt2...
% 10.58/10.84  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.58/10.84  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.58/10.84  % SZS status Theorem for RNG092+1
% 10.58/10.84  % SZS output start Proof for RNG092+1
% 10.58/10.84  (
% 10.58/10.84  (let ((_let_1 (tptp.sdtpldt1 tptp.xI tptp.xJ))) (let ((_let_2 (tptp.aIdeal0 _let_1))) (let ((_let_3 (not (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt1 tptp.xI tptp.xJ))) (=> (and (tptp.aElementOf0 W0 _let_1) (tptp.aElementOf0 W1 _let_1) (tptp.aElement0 W2)) (exists ((W3 $$unsorted) (W4 $$unsorted)) (and (tptp.aElementOf0 W3 tptp.xI) (tptp.aElementOf0 W4 tptp.xJ) (= W0 (tptp.sdtpldt0 W3 W4)) (exists ((W5 $$unsorted) (W6 $$unsorted)) (let ((_let_1 (tptp.sdtpldt1 tptp.xI tptp.xJ))) (let ((_let_2 (tptp.sdtpldt0 W0 W1))) (let ((_let_3 (tptp.sdtpldt0 W4 W6))) (let ((_let_4 (tptp.sdtpldt0 W3 W5))) (and (tptp.aElementOf0 W5 tptp.xI) (tptp.aElementOf0 W6 tptp.xJ) (= W1 (tptp.sdtpldt0 W5 W6)) (tptp.aElementOf0 _let_4 tptp.xI) (tptp.aElementOf0 _let_3 tptp.xJ) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W3) tptp.xI) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W4) tptp.xJ) (= _let_2 (tptp.sdtpldt0 _let_4 _let_3)) (tptp.aElementOf0 _let_2 _let_1) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W0) _let_1)))))))))))) _let_2)))) (let ((_let_4 (tptp.aIdeal0 tptp.xJ))) (let ((_let_5 (tptp.aIdeal0 tptp.xI))) (let ((_let_6 (and _let_5 _let_4))) (let ((_let_7 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))))))))) (let ((_let_8 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))))))) (let ((_let_9 (tptp.aElement0 tptp.sz10))) (let ((_let_10 (tptp.aElementOf0 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37) _let_1))) (let ((_let_11 (and _let_10 (tptp.aElementOf0 (tptp.sdtasdt0 tptp.sz10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) _let_1) (not (forall ((W3 $$unsorted) (W4 $$unsorted) (BOUND_VARIABLE_1236 $$unsorted) (BOUND_VARIABLE_1234 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W4 BOUND_VARIABLE_1236))) (let ((_let_2 (tptp.sdtpldt0 W3 BOUND_VARIABLE_1234))) (or (not (tptp.aElementOf0 W3 tptp.xI)) (not (tptp.aElementOf0 W4 tptp.xJ)) (not (= (tptp.sdtpldt0 W3 W4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.sz10 W3) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 tptp.sz10 W4) tptp.xJ)) (not (tptp.aElementOf0 BOUND_VARIABLE_1234 tptp.xI)) (not (tptp.aElementOf0 BOUND_VARIABLE_1236 tptp.xJ)) (not (= (tptp.sdtpldt0 BOUND_VARIABLE_1234 BOUND_VARIABLE_1236) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37)) (not (tptp.aElementOf0 _let_2 tptp.xI)) (not (tptp.aElementOf0 _let_1 tptp.xJ)) (not (= (tptp.sdtpldt0 _let_2 _let_1) (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37))))))))))) (let ((_let_12 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_1))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_10))) (let ((_let_15 (tptp.aElementOf0 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) _let_1))) (let ((_let_16 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15))) (let ((_let_19 (and _let_14 _let_18))) (let ((_let_20 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 _let_1))) (let ((_let_21 (and (tptp.aElementOf0 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) _let_1) _let_15 (not (forall ((W3 $$unsorted) (W4 $$unsorted) (BOUND_VARIABLE_1236 $$unsorted) (BOUND_VARIABLE_1234 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W4 BOUND_VARIABLE_1236))) (let ((_let_2 (tptp.sdtpldt0 W3 BOUND_VARIABLE_1234))) (or (not (tptp.aElementOf0 W3 tptp.xI)) (not (tptp.aElementOf0 W4 tptp.xJ)) (not (= (tptp.sdtpldt0 W3 W4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)) (not (tptp.aElementOf0 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 W3) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 W4) tptp.xJ)) (not (tptp.aElementOf0 BOUND_VARIABLE_1234 tptp.xI)) (not (tptp.aElementOf0 BOUND_VARIABLE_1236 tptp.xJ)) (not (= (tptp.sdtpldt0 BOUND_VARIABLE_1234 BOUND_VARIABLE_1236) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)) (not (tptp.aElementOf0 _let_2 tptp.xI)) (not (tptp.aElementOf0 _let_1 tptp.xJ)) (not (= (tptp.sdtpldt0 _let_2 _let_1) (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))))))))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (or _let_22 _let_22 _let_17 _let_21))) (let ((_let_24 (or))) (let ((_let_25 (or _let_22 _let_19))) (let ((_let_26 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1187 $$unsorted) (BOUND_VARIABLE_1180 $$unsorted)) (let ((_let_1 (tptp.sdtpldt1 tptp.xI tptp.xJ))) (or (not (tptp.aElementOf0 W1 _let_1)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1180 _let_1)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1180) _let_1)) (or (not (tptp.aElement0 BOUND_VARIABLE_1187)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1187 W1) _let_1)))))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (tptp.aSet0 _let_1))) (let ((_let_29 (and _let_28 _let_26))) (let ((_let_30 (not _let_26))) (let ((_let_31 (and _let_28 (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 tptp.xI)) (not (tptp.aElementOf0 W5 tptp.xJ)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 (tptp.sdtpldt1 tptp.xI tptp.xJ))))))) (let ((_let_32 (tptp.aSet0 tptp.xJ))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.aSet0 tptp.xI))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_31))) (let ((_let_37 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1122 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aSet0 W1)) (= (= (tptp.sdtpldt1 W0 W1) BOUND_VARIABLE_1122) (and (tptp.aSet0 BOUND_VARIABLE_1122) (forall ((W3 $$unsorted)) (= (not (forall ((W4 $$unsorted) (W5 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (not (tptp.aElementOf0 W5 W1)) (not (= W3 (tptp.sdtpldt0 W4 W5)))))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1122))))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (and _let_32 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1187 $$unsorted) (BOUND_VARIABLE_1180 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1180 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1180) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1187)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1187 W1) tptp.xJ)))))))) (let ((_let_40 (= _let_4 _let_39))) (let ((_let_41 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1187 $$unsorted) (BOUND_VARIABLE_1180 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1180 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1180) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1187)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1187 W1) W0)))))))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 (ASSUME :args (_let_6)))) (let ((_let_45 (and _let_34 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1187 $$unsorted) (BOUND_VARIABLE_1180 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1180 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1180) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1187)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1187 W1) tptp.xI)))))))) (let ((_let_46 (= _let_5 _let_45))) (let ((_let_47 (= _let_2 _let_29))) (let ((_let_48 (not _let_29))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_30))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_26))) (REFL :args (_let_27)) :args _let_24)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_47)) :args ((or _let_2 _let_48 (not _let_47)))) (NOT_IMPLIES_ELIM2 _let_49) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_1 QUANTIFIERS_INST_ENUM)) :args _let_43)) _let_42 :args (_let_47 false _let_41)) :args (_let_48 true _let_2 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 0)) :args ((or _let_28 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_33 _let_31 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_45 0)) :args ((or _let_34 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_46)) :args ((or (not _let_5) _let_45 (not _let_46)))) (AND_ELIM _let_44 :args (0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.xI QUANTIFIERS_INST_ENUM)) :args _let_43)) _let_42 :args (_let_46 false _let_41)) :args (_let_45 false _let_5 false _let_46)) :args (_let_34 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 0)) :args ((or _let_32 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_40)) :args ((or (not _let_4) _let_39 (not _let_40)))) (AND_ELIM _let_44 :args (1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.xJ QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_43)) _let_42 :args (_let_40 false _let_41)) :args (_let_39 false _let_4 false _let_40)) :args (_let_32 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.xI tptp.xJ _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_37)))) _let_38 :args (_let_36 false _let_37)) :args (_let_31 false _let_34 false _let_32 false _let_36)) :args (_let_28 false _let_31)) :args (_let_30 true _let_29 false _let_28)) :args (_let_27 true _let_26)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG (REFL :args (_let_25)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_20))) :args _let_24)) :args ((or _let_20 _let_25))) _let_51 :args (_let_20 true _let_25)))) (let ((_let_53 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt1 tptp.xI tptp.xJ))) (or (not (tptp.aElementOf0 W0 _let_1)) (not (tptp.aElementOf0 W1 _let_1)) (not (tptp.aElement0 W2)) (and (tptp.aElementOf0 (tptp.sdtpldt0 W0 W1) _let_1) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W0) _let_1) (not (forall ((W3 $$unsorted) (W4 $$unsorted) (BOUND_VARIABLE_1236 $$unsorted) (BOUND_VARIABLE_1234 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W4 BOUND_VARIABLE_1236))) (let ((_let_2 (tptp.sdtpldt0 W3 BOUND_VARIABLE_1234))) (or (not (tptp.aElementOf0 W3 tptp.xI)) (not (tptp.aElementOf0 W4 tptp.xJ)) (not (= W0 (tptp.sdtpldt0 W3 W4))) (not (tptp.aElementOf0 (tptp.sdtasdt0 W2 W3) tptp.xI)) (not (tptp.aElementOf0 (tptp.sdtasdt0 W2 W4) tptp.xJ)) (not (tptp.aElementOf0 BOUND_VARIABLE_1234 tptp.xI)) (not (tptp.aElementOf0 BOUND_VARIABLE_1236 tptp.xJ)) (not (= W1 (tptp.sdtpldt0 BOUND_VARIABLE_1234 BOUND_VARIABLE_1236))) (not (tptp.aElementOf0 _let_2 tptp.xI)) (not (tptp.aElementOf0 _let_1 tptp.xJ)) (not (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 _let_2 _let_1)))))))))))))) (let ((_let_54 (NOT_IMPLIES_ELIM1 _let_49))) (let ((_let_55 (_let_53))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_19)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_25 1)) _let_51 :args ((not _let_19) true _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 1)) :args ((or _let_15 (not _let_21)))) (REORDERING (FACTORING (CNF_OR_POS :args (_let_23))) :args ((or _let_22 _let_17 _let_21 (not _let_23)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55))) _let_54 :args (_let_23 false _let_53)) _let_52 (CNF_OR_NEG :args (_let_18 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG (REFL :args (_let_18)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_24)) :args ((or _let_16 _let_18))) :args (_let_18 false _let_21 false _let_23 false _let_20 true _let_15 false _let_16)) :args ((not _let_14) true _let_19 false _let_18)))) (let ((_let_58 (not _let_9))) (let ((_let_59 (or _let_22 _let_13 _let_58 _let_11))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 0)) :args ((or _let_10 (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_22 _let_13 _let_11 (not _let_59)))) (ASSUME :args (_let_9)) _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_24)) :args ((or _let_12 _let_14))) _let_57 :args (_let_12 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 tptp.sz10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55))) _let_54 :args (_let_59 false _let_53)) :args (_let_11 false _let_9 false _let_20 false _let_12 false _let_59)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 1)) _let_57 :args ((not _let_10) true _let_14)) :args (false false _let_11 true _let_10)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (tptp.aElement0 tptp.sz00) _let_9 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aElement0 (tptp.smndt0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (not (= tptp.sz10 tptp.sz00)) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (=> (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 W2 W1))) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))) (= W0 W1)))) _let_8 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtasasdt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1))))))))) _let_7 _let_6 _let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.58/10.84  )
% 10.58/10.84  % SZS output end Proof for RNG092+1
% 10.58/10.84  % cvc5---1.0.5 exiting
% 10.58/10.84  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------