%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG088+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 0.21s 0.64s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : RNG088+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n025.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
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun Aug 27 02:00:25 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.64  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TZ85VMz8Cu/cvc5---1.0.5_2872.p...
% 0.21/0.64  ------- get file name : TPTP file name is RNG088+2
% 0.21/0.64  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2872.smt2...
% 0.21/0.64  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.64  % SZS status Theorem for RNG088+2
% 0.21/0.64  % SZS output start Proof for RNG088+2
% 0.21/0.64  (
% 0.21/0.64  (let ((_let_1 (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ))) (let ((_let_2 (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI))) (let ((_let_3 (not (and _let_2 _let_1)))) (let ((_let_4 (tptp.aElementOf0 tptp.xn tptp.xJ))) (let ((_let_5 (tptp.aElementOf0 tptp.xm tptp.xI))) (let ((_let_6 (and _let_5 _let_4 (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn))))) (let ((_let_7 (tptp.aElementOf0 tptp.xl tptp.xJ))) (let ((_let_8 (tptp.aElementOf0 tptp.xk tptp.xI))) (let ((_let_9 (and _let_8 _let_7 (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl))))) (let ((_let_10 (tptp.aElement0 tptp.xz))) (let ((_let_11 (tptp.sdtpldt1 tptp.xI tptp.xJ))) (let ((_let_12 (and (tptp.aSet0 tptp.xI) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xI) (and (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.xI) (tptp.aElementOf0 (tptp.sdtpldt0 W0 W1) tptp.xI))) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (tptp.aElementOf0 (tptp.sdtasdt0 W1 W0) tptp.xI)))))) (tptp.aIdeal0 tptp.xI) (tptp.aSet0 tptp.xJ) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xJ) (and (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.xJ) (tptp.aElementOf0 (tptp.sdtpldt0 W0 W1) tptp.xJ))) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (tptp.aElementOf0 (tptp.sdtasdt0 W1 W0) tptp.xJ)))))) (tptp.aIdeal0 tptp.xJ)))) (let ((_let_13 (tptp.aElement0 tptp.sz10))) (let ((_let_14 (not _let_4))) (let ((_let_15 (or _let_14 _let_1))) (let ((_let_16 (and _let_15 (or (not _let_13) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.sz10 tptp.xl) tptp.xJ))))) (let ((_let_17 (not _let_7))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (1))) (let ((_let_20 (ASSUME :args (_let_9)))) (let ((_let_21 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1293 $$unsorted) (BOUND_VARIABLE_1286 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1286 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W0 BOUND_VARIABLE_1286) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1293)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1293 W0) tptp.xJ))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_21))) (let ((_let_24 (not _let_16))) (let ((_let_25 (not _let_15))) (let ((_let_26 (ASSUME :args (_let_6)))) (let ((_let_27 (not _let_5))) (let ((_let_28 (or _let_27 _let_2))) (let ((_let_29 (and _let_28 (or (not _let_10) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI))))) (let ((_let_30 (not _let_8))) (let ((_let_31 (or _let_30 _let_29))) (let ((_let_32 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1263 $$unsorted) (BOUND_VARIABLE_1256 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1256 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W0 BOUND_VARIABLE_1256) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1263)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1263 W0) tptp.xI))))))) (let ((_let_33 (_let_32))) (let ((_let_34 (0))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_16 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 0)) :args ((or _let_15 _let_24))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_1 _let_14 _let_25))) (MACRO_RESOLUTION_TRUST (NOT_AND (ASSUME :args (_let_3))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_2 _let_27 (not _let_28)))) (AND_ELIM _let_26 :args _let_34) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 0)) :args ((or _let_28 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_29 (not _let_31)))) (AND_ELIM _let_20 :args _let_34) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args (tptp.xk tptp.xz tptp.xm QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 W0 BOUND_VARIABLE_1256) (tptp.aElement0 BOUND_VARIABLE_1263)))) :args _let_33)) (AND_ELIM _let_22 :args _let_19) :args (_let_31 false _let_32)) :args (_let_29 false _let_8 false _let_31)) :args (_let_28 false _let_29)) :args (_let_2 false _let_5 false _let_28)) :args ((not _let_1) false _let_2)) (AND_ELIM _let_26 :args _let_19) :args (_let_25 true _let_1 false _let_4)) :args (_let_24 true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_23) :args (tptp.xl tptp.sz10 tptp.xn QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 W0 BOUND_VARIABLE_1286) (tptp.aElement0 BOUND_VARIABLE_1293)))) :args _let_23)) (AND_ELIM _let_22 :args (4)) :args (_let_18 false _let_21)) (AND_ELIM _let_20 :args _let_19) :args (false true _let_16 false _let_18 false _let_7)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (tptp.aElement0 tptp.sz00) _let_13 (forall ((W0 $$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 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1))))))))) (forall ((W0 $$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 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))))))) _let_12 (and (exists ((W0 $$unsorted) (W1 $$unsorted)) (and (tptp.aElementOf0 W0 tptp.xI) (tptp.aElementOf0 W1 tptp.xJ) (= (tptp.sdtpldt0 W0 W1) tptp.xx))) (tptp.aElementOf0 tptp.xx _let_11) (exists ((W0 $$unsorted) (W1 $$unsorted)) (and (tptp.aElementOf0 W0 tptp.xI) (tptp.aElementOf0 W1 tptp.xJ) (= (tptp.sdtpldt0 W0 W1) tptp.xy))) (tptp.aElementOf0 tptp.xy _let_11) _let_10) _let_9 _let_6 _let_3 true)))))))))))))))))))))))))))))))))))))
% 0.21/0.64  )
% 0.21/0.64  % SZS output end Proof for RNG088+2
% 0.21/0.64  % cvc5---1.0.5 exiting
% 0.21/0.64  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------