%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG089+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 13:49:57 EDT 2023

% Result   : Theorem 0.57s 0.81s
% Output   : Proof 0.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : RNG089+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n005.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sun Aug 27 02:43:08 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.23/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.57/0.81  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.N4zG8CxHQg/cvc5---1.0.5_27229.p...
% 0.57/0.81  ------- get file name : TPTP file name is RNG089+1
% 0.57/0.81  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27229.smt2...
% 0.57/0.81  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.57/0.81  % SZS status Theorem for RNG089+1
% 0.57/0.81  % SZS output start Proof for RNG089+1
% 0.57/0.81  (
% 0.57/0.81  (let ((_let_1 (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ))) (let ((_let_2 (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI))) (let ((_let_3 (not (and _let_2 _let_1)))) (let ((_let_4 (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ))) (let ((_let_5 (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI))) (let ((_let_6 (tptp.aElementOf0 tptp.xn tptp.xJ))) (let ((_let_7 (tptp.aElementOf0 tptp.xm tptp.xI))) (let ((_let_8 (tptp.aElementOf0 tptp.xl tptp.xJ))) (let ((_let_9 (tptp.aElementOf0 tptp.xk tptp.xI))) (let ((_let_10 (and _let_9 _let_8 (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl))))) (let ((_let_11 (tptp.aElement0 tptp.xz))) (let ((_let_12 (tptp.sdtpldt1 tptp.xI tptp.xJ))) (let ((_let_13 (and (tptp.aElementOf0 tptp.xx _let_12) (tptp.aElementOf0 tptp.xy _let_12) _let_11))) (let ((_let_14 (tptp.aIdeal0 tptp.xJ))) (let ((_let_15 (tptp.aIdeal0 tptp.xI))) (let ((_let_16 (and _let_15 _let_14))) (let ((_let_17 (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_18 (not _let_11))) (let ((_let_19 (or _let_18 _let_1))) (let ((_let_20 (and (or (not _let_6) _let_4) _let_19))) (let ((_let_21 (not _let_8))) (let ((_let_22 (or _let_21 _let_20))) (let ((_let_23 (1))) (let ((_let_24 (ASSUME :args (_let_10)))) (let ((_let_25 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1174 $$unsorted) (BOUND_VARIABLE_1167 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1167 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1167) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1174)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1174 W1) tptp.xJ))))))) (let ((_let_26 (and (tptp.aSet0 tptp.xJ) _let_25))) (let ((_let_27 (= _let_14 _let_26))) (let ((_let_28 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1174 $$unsorted) (BOUND_VARIABLE_1167 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1167 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1167) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1174)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1174 W1) W0)))))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 ((tptp.aIdeal0 W0)))) (let ((_let_32 (ASSUME :args (_let_16)))) (let ((_let_33 (_let_25))) (let ((_let_34 ((tptp.sdtpldt0 W1 BOUND_VARIABLE_1167) (tptp.aElement0 BOUND_VARIABLE_1174)))) (let ((_let_35 (not _let_20))) (let ((_let_36 (not _let_19))) (let ((_let_37 (AND_ELIM (ASSUME :args (_let_13)) :args (2)))) (let ((_let_38 (or _let_18 _let_2))) (let ((_let_39 (and (or (not _let_7) _let_5) _let_38))) (let ((_let_40 (not _let_9))) (let ((_let_41 (or _let_40 _let_39))) (let ((_let_42 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1174 $$unsorted) (BOUND_VARIABLE_1167 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1167 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1167) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1174)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1174 W1) tptp.xI))))))) (let ((_let_43 (and (tptp.aSet0 tptp.xI) _let_42))) (let ((_let_44 (= _let_15 _let_43))) (let ((_let_45 (0))) (let ((_let_46 (_let_42))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_20 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 1)) :args ((or _let_19 _let_35))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_1 _let_18 _let_36))) (MACRO_RESOLUTION_TRUST (NOT_AND (ASSUME :args (_let_3))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_2 _let_18 (not _let_38)))) _let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_39 (not _let_41)))) (AND_ELIM _let_24 :args _let_45) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (tptp.xk tptp.xz tptp.xm QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_42 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_44)) :args ((or (not _let_15) _let_43 (not _let_44)))) (AND_ELIM _let_32 :args _let_45) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.xI QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_44 false _let_28)) :args (_let_43 false _let_15 false _let_44)) :args (_let_42 false _let_43)) :args (_let_41 false _let_42)) :args (_let_39 false _let_9 false _let_41)) :args (_let_38 false _let_39)) :args (_let_2 false _let_11 false _let_38)) :args ((not _let_1) false _let_2)) _let_37 :args (_let_36 true _let_1 false _let_11)) :args (_let_35 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args (tptp.xl tptp.xz tptp.xn QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 1)) :args ((or _let_25 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_27)) :args ((or (not _let_14) _let_26 (not _let_27)))) (AND_ELIM _let_32 :args _let_23) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.xJ QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_27 false _let_28)) :args (_let_26 false _let_14 false _let_27)) :args (_let_25 false _let_26)) :args (_let_22 false _let_25)) (AND_ELIM _let_24 :args _let_23) :args (false true _let_20 false _let_22 false _let_8)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (tptp.aElement0 tptp.sz00) (tptp.aElement0 tptp.sz10) (forall ((W0 $$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 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))) (= W0 W1)))) (forall ((W0 $$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 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))))) (forall ((W0 $$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_17 _let_16 _let_13 _let_10 (and _let_7 _let_6 (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn))) (and _let_5 _let_4) _let_3 true)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.67/0.81  )
% 0.67/0.81  % SZS output end Proof for RNG089+1
% 0.67/0.81  % cvc5---1.0.5 exiting
% 0.67/0.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------