TSTP Solution File: DAT088_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : DAT088_1 : TPTP v8.1.2. Released v6.1.0.
% 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 : Wed Aug 30 22:10:33 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : DAT088_1 : TPTP v8.1.2. Released v6.1.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 14:38:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_ARI
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ICENBEINUh/cvc5---1.0.5_14338.p...
% 0.20/0.54 ------- get file name : TPTP file name is DAT088_1
% 0.20/0.54 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14338.smt2...
% 0.20/0.54 --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.54 % SZS status Theorem for DAT088_1
% 0.20/0.54 % SZS output start Proof for DAT088_1
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (not (forall ((N Int) (L tptp.list)) (=> (not (= L tptp.nil)) (= (tptp.count N L) (tptp.count N (tptp.tail L))))))))) (let ((_let_2 (forall ((K Int) (H Int) (T tptp.list) (N Int)) (=> (= K H) (= (tptp.count K (tptp.cons H T)) (+ (tptp.count K T) 1)))))) (let ((_let_3 (forall ((K Int)) (= (tptp.count K tptp.nil) 0)))) (let ((_let_4 (= (tptp.length tptp.nil) 0))) (let ((_let_5 (forall ((K Int) (L tptp.list)) (not (= (tptp.cons K L) tptp.nil))))) (let ((_let_6 (forall ((K Int) (L tptp.list)) (= (tptp.tail (tptp.cons K L)) L)))) (let ((_let_7 (tptp.cons 0 tptp.nil))) (let ((_let_8 (tptp.count 0 _let_7))) (let ((_let_9 (tptp.count 0 tptp.nil))) (let ((_let_10 (= _let_9 (+ (- 1) _let_8)))) (let ((_let_11 (= _let_9 0))) (let ((_let_12 (tptp.tail _let_7))) (let ((_let_13 (= tptp.nil _let_12))) (let ((_let_14 (tptp.count 0 _let_12))) (let ((_let_15 (= _let_8 _let_14))) (let ((_let_16 (ASSUME :args (_let_4)))) (let ((_let_17 (forall ((H Int) (T tptp.list)) (= (tptp.count H (tptp.cons H T)) (+ 1 (tptp.count H T)))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (0 tptp.nil QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_20 (_let_3))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (forall ((K Int) (L tptp.list)) (= L (tptp.tail (tptp.cons K L)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (= tptp.nil _let_7))) (let ((_let_25 (or _let_24 _let_15))) (let ((_let_26 (forall ((N Int) (L tptp.list)) (or (= tptp.nil L) (= (tptp.count N L) (tptp.count N (tptp.tail L))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (forall ((K Int) (L tptp.list)) (not (= tptp.nil (tptp.cons K L)))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (= _let_9 _let_8))) (let ((_let_31 (not _let_30))) (let ((_let_32 (= _let_14 0))) (let ((_let_33 (ASSUME :args (_let_15)))) (let ((_let_34 (SYMM _let_16))) (let ((_let_35 (_let_11))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (SYMM (SYMM _let_36)))) (let ((_let_38 (_let_10))) (let ((_let_39 (_let_30))) (let ((_let_40 (ASSUME :args _let_38))) (let ((_let_41 (= 0 _let_9))) (let ((_let_42 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_16 _let_36 (MODUS_PONENS (AND_INTRO (MODUS_PONENS _let_36 (SCOPE (SYMM _let_37) :args _let_35)) _let_42) (SCOPE (TRANS (CONG (REFL :args (0)) (SYMM _let_42) :args (APPLY_UF tptp.count)) (SYMM (ASSUME :args (_let_41)))) :args (_let_41 _let_13))) _let_33 (MODUS_PONENS _let_40 (SCOPE (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_39) (MACRO_SR_PRED_TRANSFORM _let_40 :args ((= (+ _let_9 (* (- 1) _let_8)) (- 1)))) :args ((- 1) 1)) :args (false)) :args _let_39) :args _let_38))) :args (_let_4 _let_10 _let_11 _let_13 _let_15)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_31)))) (TRUE_INTRO (TRANS (TRANS _let_37 _let_34) (SYMM _let_34) (SYMM (TRANS (SYMM (SYMM _let_33)) (SYMM (SYMM (ASSUME :args (_let_32)))))))))) :args (_let_4 _let_11 _let_32 _let_15 _let_31)) :args ((not (and _let_4 _let_10 _let_11 _let_13 _let_15)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_15 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args _let_19) :args (_let_28))) _let_29 :args ((not _let_24) false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (0 _let_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_15 true _let_24 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args _let_19) :args (_let_22))) _let_23 :args (_let_13 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (0 QUANTIFIERS_INST_CBQI_PROP)) :args _let_20)) _let_21 :args (_let_11 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args _let_19) :args (_let_17)))) _let_18 :args (_let_10 false _let_17)) _let_16 :args (false false _let_15 false _let_13 false _let_11 false _let_10 false _let_4)) :args ((forall ((K Int) (L tptp.list)) (= (tptp.head (tptp.cons K L)) K)) _let_6 (forall ((L tptp.list)) (or (= L tptp.nil) (= L (tptp.cons (tptp.head L) (tptp.tail L))))) _let_5 (forall ((X Int) (L tptp.list)) (= (tptp.in X L) (or (exists ((H Int) (T tptp.list)) (and (= L (tptp.cons H T)) (= X H))) (exists ((H Int) (T tptp.list)) (and (= L (tptp.cons H T)) (tptp.in X T)))))) (forall ((N Int) (L tptp.list)) (= (tptp.inRange N L) (or (= L tptp.nil) (exists ((K Int) (T tptp.list)) (and (= L (tptp.cons K T)) (<= 0 K) (< K N) (tptp.inRange N T)))))) _let_4 (forall ((H Int) (T tptp.list)) (= (tptp.length (tptp.cons H T)) (+ 1 (tptp.length T)))) _let_3 (forall ((K Int) (H Int) (T tptp.list) (N Int)) (=> (not (= K H)) (= (tptp.count K (tptp.cons H T)) (tptp.count K T)))) _let_2 (forall ((L tptp.list)) (= (tptp.append tptp.nil L) L)) (forall ((I Int) (K tptp.list) (L tptp.list)) (= (tptp.append (tptp.cons I K) L) (tptp.cons I (tptp.append K L)))) (forall ((N Int) (L tptp.list)) (= (tptp.in N L) (> (tptp.count N L) 0))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for DAT088_1
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------