TSTP Solution File: DAT009_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : DAT009_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : Wed Aug 30 22:10:17 EDT 2023

% Result   : Theorem 0.21s 0.58s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : DAT009_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n020.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 14:37:45 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_ARI
% 0.21/0.58  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mfbHGIENhg/cvc5---1.0.5_11862.p...
% 0.21/0.58  ------- get file name : TPTP file name is DAT009_1
% 0.21/0.58  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11862.smt2...
% 0.21/0.58  --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.21/0.58  % SZS status Theorem for DAT009_1
% 0.21/0.58  % SZS output start Proof for DAT009_1
% 0.21/0.58  (
% 0.21/0.58  (let ((_let_1 (not (forall ((U tptp.array) (V tptp.array) (W Int)) (=> (and (forall ((X Int)) (> (tptp.read V X) X)) (= U (tptp.write V W (+ W 3)))) (forall ((Y Int)) (> (tptp.read U Y) Y))))))) (let ((_let_2 (forall ((X tptp.array) (Y Int) (Z Int) (X1 Int)) (or (= Y Z) (= (tptp.read (tptp.write X Y X1) Z) (tptp.read X Z)))))) (let ((_let_3 (forall ((U tptp.array) (V Int) (W Int)) (= (tptp.read (tptp.write U V W) V) W)))) (let ((_let_4 (+ 3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (tptp.write SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_4))) (let ((_let_6 (tptp.read _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) _let_6)) 0))) (let ((_let_8 (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (= _let_6 _let_8))) (let ((_let_10 (* (- 1) _let_8))) (let ((_let_11 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10))) (let ((_let_12 (>= _let_11 0))) (let ((_let_13 (not _let_7))) (let ((_let_14 (forall ((X Int)) (not (>= (+ X (* (- 1) (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X))) 0))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13))) (let ((_let_17 (forall ((V tptp.array) (W Int) (BOUND_VARIABLE_655 Int)) (or (not (forall ((X Int)) (not (>= (+ X (* (- 1) (tptp.read V X))) 0)))) (not (>= (+ BOUND_VARIABLE_655 (* (- 1) (tptp.read (tptp.write V W (+ 3 W)) BOUND_VARIABLE_655))) 0)))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (not _let_17))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_19) :args (_let_21))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_20)) _let_19 :args (_let_18 true _let_17)))) (let ((_let_23 (REFL :args (_let_16)))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 1)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_7))) :args _let_20)) :args ((or _let_7 _let_16))) _let_22 :args (_let_7 true _let_16)))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (or _let_25 _let_9))) (let ((_let_27 (_let_2))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (tptp.read _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (+ (- 3) _let_29)))) (let ((_let_31 (forall ((U tptp.array) (V Int) (W Int)) (= W (tptp.read (tptp.write U V W) V))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (= _let_6 _let_29))) (let ((_let_34 (= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 0))) (let ((_let_35 ((not _let_34)))) (let ((_let_36 (_let_34))) (let ((_let_37 (false))) (let ((_let_38 (ASSUME :args (_let_7)))) (let ((_let_39 (* (- 1) _let_29))) (let ((_let_40 (ASSUME :args (_let_30)))) (let ((_let_41 (_let_25))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (not _let_12))) (let ((_let_44 (_let_14))) (let ((_let_45 (< _let_11 0))) (let ((_let_46 (_let_45))) (let ((_let_47 (ASSUME :args (_let_9)))) (let ((_let_48 (ASSUME :args (_let_43)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_38 _let_48) :args (_let_7 _let_9 _let_43)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_48 :args _let_46) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_46) _let_38 (MACRO_SR_PRED_TRANSFORM _let_47 :args ((= (+ _let_6 _let_10) 0))) :args (1.0 (- 1.0) (- 1.0))) :args _let_37) :args _let_46) :args (_let_12)) :args ((not _let_45)))) :args (_let_9 _let_7 _let_43)) :args ((not (and _let_7 _let_9 _let_43)) SB_LITERAL))) (CONG (REFL :args (_let_13)) (REFL :args ((not _let_9))) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_12))) :args _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)))) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_20)) :args ((or _let_14 _let_16))) _let_22 :args (_let_14 true _let_16)) :args (_let_43 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_9 (not _let_26)))) (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_38 (MODUS_PONENS _let_42 (SCOPE (CONG (REFL :args (_let_5)) (SYMM _let_42) :args (APPLY_UF tptp.read)) :args _let_41)) _let_40 _let_42) :args (_let_7 _let_30 _let_25)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_42 :args _let_36) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_36) (MACRO_SR_PRED_TRANSFORM _let_40 :args ((= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_39) (- 3)))) (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_33)) :args ((= (+ _let_6 _let_39) 0))) _let_38 :args ((- 1.0) 1.0 (- 1.0) (- 1.0))) :args _let_37) :args _let_36) :args _let_35) :args _let_35)) :args (_let_7 _let_33 _let_30 _let_25)) :args ((not (and _let_7 _let_30 _let_25)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.write U V W)))) :args (_let_31)))) _let_32 :args (_let_30 false _let_31)) _let_24 :args ((not _let_25) false _let_30 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_4 QUANTIFIERS_INST_E_MATCHING ((tptp.read (tptp.write X Y X1) Z)))) :args _let_27)) _let_28 :args (_let_26 false _let_2)) :args (_let_9 true _let_25 false _let_26)) _let_24 :args (false true _let_12 false _let_9 false _let_7)) :args (_let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.59  )
% 0.21/0.59  % SZS output end Proof for DAT009_1
% 0.21/0.59  % cvc5---1.0.5 exiting
% 0.21/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------