TSTP Solution File: NUM457+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM457+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 10:44:05 EDT 2023
% Result : Theorem 0.21s 0.56s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM457+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n020.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 : Fri Aug 25 11:35:30 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.56 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.UYybdQjFam/cvc5---1.0.5_23028.p...
% 0.21/0.56 ------- get file name : TPTP file name is NUM457+1
% 0.21/0.56 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23028.smt2...
% 0.21/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56 % SZS status Theorem for NUM457+1
% 0.21/0.56 % SZS output start Proof for NUM457+1
% 0.21/0.56 (
% 0.21/0.56 (let ((_let_1 (tptp.sdtasdt0 tptp.xm tptp.xn))) (let ((_let_2 (not (=> (= _let_1 tptp.sz00) (or (= tptp.xm tptp.sz00) (= tptp.xn tptp.sz00)))))) (let ((_let_3 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_4 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_5 (and _let_4 _let_3))) (let ((_let_6 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (=> (not (= W0 tptp.sz00)) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2)) (= (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))) (= W1 W2))))))))) (let ((_let_7 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_8 (tptp.aNaturalNumber0 tptp.sz00))) (let ((_let_9 (= tptp.sz00 _let_1))) (let ((_let_10 (tptp.sdtasdt0 tptp.xm tptp.sz00))) (let ((_let_11 (= tptp.sz00 _let_10))) (let ((_let_12 (= _let_1 _let_10))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (tptp.sdtasdt0 tptp.sz00 tptp.xm))) (let ((_let_15 (and _let_11 (= tptp.sz00 _let_14)))) (let ((_let_16 (not _let_4))) (let ((_let_17 (or _let_16 _let_15))) (let ((_let_18 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (0))) (let ((_let_21 (ASSUME :args (_let_5)))) (let ((_let_22 (AND_ELIM _let_21 :args _let_20))) (let ((_let_23 (not _let_12))) (let ((_let_24 (and _let_23 (not (= (tptp.sdtasdt0 tptp.xn tptp.xm) _let_14))))) (let ((_let_25 (= tptp.sz00 tptp.xn))) (let ((_let_26 (not _let_3))) (let ((_let_27 (not _let_8))) (let ((_let_28 (= tptp.sz00 tptp.xm))) (let ((_let_29 (or _let_16 _let_28 _let_27 _let_26 _let_24 _let_25))) (let ((_let_30 (forall ((W0 $$unsorted) (BOUND_VARIABLE_901 $$unsorted) (BOUND_VARIABLE_899 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= tptp.sz00 W0) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_899)) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_901)) (and (not (= (tptp.sdtasdt0 W0 BOUND_VARIABLE_899) (tptp.sdtasdt0 W0 BOUND_VARIABLE_901))) (not (= (tptp.sdtasdt0 BOUND_VARIABLE_899 W0) (tptp.sdtasdt0 BOUND_VARIABLE_901 W0)))) (= BOUND_VARIABLE_899 BOUND_VARIABLE_901))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (1))) (let ((_let_33 (NOT_IMPLIES_ELIM2 _let_13))) (let ((_let_34 (ASSUME :args (_let_23)))) (let ((_let_35 (ASSUME :args (_let_11)))) (let ((_let_36 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_34 _let_36 _let_35) :args (_let_9 _let_11 _let_23)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS (SYMM _let_36) (SYMM (SYMM _let_35))))) (FALSE_INTRO _let_34))) :args (_let_23 _let_9 _let_11)) :args ((not (and _let_9 _let_11 _let_23)) SB_LITERAL))) (CONG (REFL :args ((not _let_9))) (REFL :args ((not _let_11))) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_12))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 0)) :args ((or _let_23 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_25 _let_27 _let_16 _let_26 _let_24 (not _let_29)))) (NOT_OR_ELIM _let_33 :args _let_20) (NOT_OR_ELIM _let_33 :args _let_32) (ASSUME :args (_let_8)) _let_22 (AND_ELIM _let_21 :args _let_32) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.xm tptp.xn tptp.sz00 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.aNaturalNumber0 W0) false)) (not (= (tptp.aNaturalNumber0 BOUND_VARIABLE_899) false)) (not (= (tptp.aNaturalNumber0 BOUND_VARIABLE_901) false))))) :args (_let_30)))) _let_31 :args (_let_29 false _let_30)) :args (_let_24 true _let_28 true _let_25 false _let_8 false _let_4 false _let_3 false _let_29)) :args (_let_23 false _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 0)) :args ((or _let_11 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_15 (not _let_17)))) _let_22 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_18))) _let_19 :args (_let_17 false _let_18)) :args (_let_15 false _let_4 false _let_17)) :args (_let_11 false _let_15)) (NOT_IMPLIES_ELIM1 _let_13) :args (false true _let_12 false _let_11 false _let_9)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) _let_8 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) _let_7 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 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 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W0 W2)) (= (tptp.sdtpldt0 W1 W0) (tptp.sdtpldt0 W2 W0))) (= W1 W2)))) _let_6 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtpldt0 W0 W1) tptp.sz00) (and (= W0 tptp.sz00) (= W1 tptp.sz00))))) _let_5 _let_2 true)))))))))))))))))))))))))))))))))))))))
% 0.21/0.57 )
% 0.21/0.57 % SZS output end Proof for NUM457+1
% 0.21/0.57 % cvc5---1.0.5 exiting
% 0.21/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------