TSTP Solution File: RNG088+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG088+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 0.60s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG088+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 03:12:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.60 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.y32ZqPaSAZ/cvc5---1.0.5_10516.p...
% 0.21/0.60 ------- get file name : TPTP file name is RNG088+1
% 0.21/0.60 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10516.smt2...
% 0.21/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.60 % SZS status Theorem for RNG088+1
% 0.21/0.60 % SZS output start Proof for RNG088+1
% 0.21/0.60 (
% 0.21/0.60 (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 (tptp.aIdeal0 tptp.xJ))) (let ((_let_13 (tptp.aIdeal0 tptp.xI))) (let ((_let_14 (and _let_13 _let_12))) (let ((_let_15 (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_16 (not _let_5))) (let ((_let_17 (or _let_16 _let_2))) (let ((_let_18 (and _let_17 (or (not _let_10) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI))))) (let ((_let_19 (not _let_8))) (let ((_let_20 (or _let_19 _let_18))) (let ((_let_21 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1169 $$unsorted) (BOUND_VARIABLE_1162 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1162 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1162) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1169)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1169 W1) tptp.xI))))))) (let ((_let_22 (and (tptp.aSet0 tptp.xI) _let_21))) (let ((_let_23 (= _let_13 _let_22))) (let ((_let_24 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1169 $$unsorted) (BOUND_VARIABLE_1162 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1162 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1162) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1169)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1169 W1) W0)))))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_24))) (let ((_let_27 ((tptp.aIdeal0 W0)))) (let ((_let_28 (0))) (let ((_let_29 (ASSUME :args (_let_14)))) (let ((_let_30 (_let_21))) (let ((_let_31 ((tptp.sdtpldt0 W1 BOUND_VARIABLE_1162) (tptp.aElement0 BOUND_VARIABLE_1169)))) (let ((_let_32 (ASSUME :args (_let_9)))) (let ((_let_33 (ASSUME :args (_let_6)))) (let ((_let_34 (not _let_4))) (let ((_let_35 (or _let_34 _let_1))) (let ((_let_36 (and _let_35 (or (not (tptp.aElement0 tptp.xy)) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xy tptp.xl) tptp.xJ))))) (let ((_let_37 (not _let_7))) (let ((_let_38 (or _let_37 _let_36))) (let ((_let_39 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1169 $$unsorted) (BOUND_VARIABLE_1162 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1162 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1162) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1169)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1169 W1) tptp.xJ))))))) (let ((_let_40 (and (tptp.aSet0 tptp.xJ) _let_39))) (let ((_let_41 (= _let_12 _let_40))) (let ((_let_42 (1))) (let ((_let_43 (_let_39))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (ASSUME :args (_let_3))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_1 _let_34 (not _let_35)))) (AND_ELIM _let_33 :args _let_42) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 0)) :args ((or _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 (not _let_38)))) (AND_ELIM _let_32 :args _let_42) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (tptp.xl tptp.xy tptp.xn QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_40 1)) :args ((or _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_41)) :args ((or (not _let_12) _let_40 (not _let_41)))) (AND_ELIM _let_29 :args _let_42) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.xJ QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_41 false _let_24)) :args (_let_40 false _let_12 false _let_41)) :args (_let_39 false _let_40)) :args (_let_38 false _let_39)) :args (_let_36 false _let_7 false _let_38)) :args (_let_35 false _let_36)) :args (_let_1 false _let_4 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_2 _let_16 (not _let_17)))) (AND_ELIM _let_33 :args _let_28) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 0)) :args ((or _let_17 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_18 (not _let_20)))) (AND_ELIM _let_32 :args _let_28) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (tptp.xk tptp.xz tptp.xm QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or (not _let_13) _let_22 (not _let_23)))) (AND_ELIM _let_29 :args _let_28) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.xI QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_23 false _let_24)) :args (_let_22 false _let_13 false _let_23)) :args (_let_21 false _let_22)) :args (_let_20 false _let_21)) :args (_let_18 false _let_8 false _let_20)) :args (_let_17 false _let_18)) :args (_let_2 false _let_5 false _let_17)) :args (false false _let_1 false _let_2)) :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_15 _let_14 (and (tptp.aElementOf0 tptp.xx _let_11) (tptp.aElementOf0 tptp.xy _let_11) _let_10) _let_9 _let_6 _let_3 true))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.60 )
% 0.21/0.60 % SZS output end Proof for RNG088+1
% 0.21/0.60 % cvc5---1.0.5 exiting
% 0.21/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------