TSTP Solution File: DAT098_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : DAT098_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 22:10:36 EDT 2023

% Result   : Theorem 0.19s 0.56s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : DAT098_1 : TPTP v8.1.2. Released v6.1.0.
% 0.13/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n003.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   : Thu Aug 24 13:57:52 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_ARI
% 0.19/0.56  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.U4SVlG1No6/cvc5---1.0.5_25875.p...
% 0.19/0.56  ------- get file name : TPTP file name is DAT098_1
% 0.19/0.56  ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25875.smt2...
% 0.19/0.56  --- Run --finite-model-find --decision=internal at 15...
% 0.19/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.19/0.56  % SZS status Theorem for DAT098_1
% 0.19/0.56  % SZS output start Proof for DAT098_1
% 0.19/0.56  (
% 0.19/0.56  (let ((_let_1 (tptp.cons 2 tptp.nil))) (let ((_let_2 (tptp.cons 3 _let_1))) (let ((_let_3 (tptp.cons 1 _let_2))) (let ((_let_4 (tptp.inRange 4 _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (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 ((_let_7 (tptp.inRange 4 tptp.nil))) (let ((_let_8 (forall ((K Int) (T tptp.list)) (or (not (= (tptp.cons K T) (tptp.cons 2 tptp.nil))) (not (>= K 0)) (>= K 4) (not (tptp.inRange 4 T)))))) (let ((_let_9 (forall ((N Int) (L tptp.list)) (= (tptp.inRange N L) (or (= tptp.nil L) (not (forall ((K Int) (T tptp.list)) (or (not (= L (tptp.cons K T))) (not (>= K 0)) (not (>= (+ N (* (- 1) K)) 1)) (not (tptp.inRange N T)))))))))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (_let_9))) (let ((_let_12 ((tptp.inRange N L)))) (let ((_let_13 (not _let_8))) (let ((_let_14 (or (= tptp.nil _let_1) _let_13))) (let ((_let_15 (tptp.inRange 4 _let_1))) (let ((_let_16 (= _let_15 _let_14))) (let ((_let_17 (not _let_14))) (let ((_let_18 (forall ((K Int) (T tptp.list)) (or (not (= (tptp.cons K T) (tptp.cons 3 (tptp.cons 2 tptp.nil)))) (not (>= K 0)) (>= K 4) (not (tptp.inRange 4 T)))))) (let ((_let_19 (not _let_15))) (let ((_let_20 (not _let_18))) (let ((_let_21 (or (= tptp.nil _let_2) _let_20))) (let ((_let_22 (tptp.inRange 4 _let_2))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (not _let_21))) (let ((_let_25 (forall ((K Int) (T tptp.list)) (or (not (= (tptp.cons K T) (tptp.cons 1 (tptp.cons 3 (tptp.cons 2 tptp.nil))))) (not (>= K 0)) (>= K 4) (not (tptp.inRange 4 T)))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or (= tptp.nil _let_3) _let_26))) (let ((_let_28 (= _let_4 _let_27))) (let ((_let_29 (not _let_27))) (let ((_let_30 (or))) (let ((_let_31 (_let_25))) (let ((_let_32 ((tptp.cons K T)))) (let ((_let_33 (_let_18))) (let ((_let_34 (_let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (2 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_34))) :args ((or (not _let_7) _let_13))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_8))) :args _let_30)) :args ((or _let_8 _let_14))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_16)) :args ((or _let_15 _let_17 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args (3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_33))) :args ((or _let_19 _let_20))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_18))) :args _let_30)) :args ((or _let_18 _let_21))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_23)) :args ((or _let_22 _let_24 (not _let_23)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_31) :args (1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_30)) :args ((or _let_25 _let_27))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_28)) :args ((or _let_4 _let_29 (not _let_28)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_10 :args (4 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_12)) :args _let_11))) _let_10 :args (_let_28 false _let_9)) :args (_let_29 true _let_4 false _let_28)) :args (_let_25 true _let_27)) :args ((not _let_22) false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_10 :args (4 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_12)) :args _let_11))) _let_10 :args (_let_23 false _let_9)) :args (_let_24 true _let_22 false _let_23)) :args (_let_18 true _let_21)) :args (_let_19 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_10 :args (4 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_12)) :args _let_11))) _let_10 :args (_let_16 false _let_9)) :args (_let_17 true _let_15 false _let_16)) :args (_let_8 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_10 :args (4 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_12)) :args _let_11))) _let_10 :args (_let_7 false _let_9)) :args (false false _let_8 false _let_7)) :args ((forall ((K Int) (L tptp.list)) (= (tptp.head (tptp.cons K L)) K)) (forall ((K Int) (L tptp.list)) (= (tptp.tail (tptp.cons K L)) L)) (forall ((L tptp.list)) (or (= L tptp.nil) (= L (tptp.cons (tptp.head L) (tptp.tail L))))) (forall ((K Int) (L tptp.list)) (not (= (tptp.cons K L) tptp.nil))) _let_6 _let_5 true)))))))))))))))))))))))))))))))))))))
% 0.19/0.56  )
% 0.19/0.56  % SZS output end Proof for DAT098_1
% 0.19/0.56  % cvc5---1.0.5 exiting
% 0.19/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------