%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG089+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 13:49:58 EDT 2023

% Result   : Theorem 2.00s 2.42s
% Output   : Proof 2.00s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : RNG089+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun Aug 27 02:00:27 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 2.00/2.42  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.nD32N79HIS/cvc5---1.0.5_8512.p...
% 2.00/2.42  ------- get file name : TPTP file name is RNG089+2
% 2.00/2.42  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8512.smt2...
% 2.00/2.42  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.00/2.42  % SZS status Theorem for RNG089+2
% 2.00/2.42  % SZS output start Proof for RNG089+2
% 2.00/2.42  (
% 2.00/2.42  (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 (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_12) (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_12) _let_11))) (let ((_let_14 (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_15 (not _let_11))) (let ((_let_16 (or _let_15 _let_1))) (let ((_let_17 (and (or (not _let_6) _let_4) _let_16))) (let ((_let_18 (not _let_8))) (let ((_let_19 (or _let_18 _let_17))) (let ((_let_20 (1))) (let ((_let_21 (ASSUME :args (_let_10)))) (let ((_let_22 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1298 $$unsorted) (BOUND_VARIABLE_1291 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1291 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W0 BOUND_VARIABLE_1291) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1298)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1298 W0) tptp.xJ))))))) (let ((_let_23 (4))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_22))) (let ((_let_26 (not _let_17))) (let ((_let_27 (not _let_16))) (let ((_let_28 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args _let_23))) (let ((_let_29 (or _let_15 _let_2))) (let ((_let_30 (and (or (not _let_7) _let_5) _let_29))) (let ((_let_31 (not _let_9))) (let ((_let_32 (or _let_31 _let_30))) (let ((_let_33 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1268 $$unsorted) (BOUND_VARIABLE_1261 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1261 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W0 BOUND_VARIABLE_1261) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1268)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1268 W0) tptp.xI))))))) (let ((_let_34 (_let_33))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_17 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_16 _let_26))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_1 _let_15 _let_27))) (MACRO_RESOLUTION_TRUST (NOT_AND (ASSUME :args (_let_3))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_2 _let_15 (not _let_29)))) _let_28 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 1)) :args ((or _let_29 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_30 (not _let_32)))) (AND_ELIM _let_21 :args (0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (tptp.xk tptp.xz tptp.xm QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 W0 BOUND_VARIABLE_1261) (tptp.aElement0 BOUND_VARIABLE_1268)))) :args _let_34)) (AND_ELIM _let_24 :args _let_20) :args (_let_32 false _let_33)) :args (_let_30 false _let_9 false _let_32)) :args (_let_29 false _let_30)) :args (_let_2 false _let_11 false _let_29)) :args ((not _let_1) false _let_2)) _let_28 :args (_let_27 true _let_1 false _let_11)) :args (_let_26 true _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_25) :args (tptp.xl tptp.xz tptp.xn QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 BOUND_VARIABLE_1298 W0) (tptp.sdtpldt0 W0 BOUND_VARIABLE_1291)))) :args _let_25)) (AND_ELIM _let_24 :args _let_23) :args (_let_19 false _let_22)) (AND_ELIM _let_21 :args _let_20) :args (false true _let_17 false _let_19 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 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1))))))))) (forall ((W0 $$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_14 _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)))))))))))))))))))))))))))))))))))))
% 2.00/2.43  )
% 2.00/2.43  % SZS output end Proof for RNG089+2
% 2.00/2.43  % cvc5---1.0.5 exiting
% 2.00/2.43  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------