TSTP Solution File: ARI605_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI605_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 17:31:27 EDT 2023

% Result   : Theorem 0.22s 0.56s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ARI605_1 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n015.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   : Tue Aug 29 18:26:41 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_ARI
% 0.22/0.56  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.8J7RN9fyCe/cvc5---1.0.5_7935.p...
% 0.22/0.56  ------- get file name : TPTP file name is ARI605_1
% 0.22/0.56  ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7935.smt2...
% 0.22/0.56  --- Run --finite-model-find --decision=internal at 15...
% 0.22/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.22/0.56  % SZS status Theorem for ARI605_1
% 0.22/0.56  % SZS output start Proof for ARI605_1
% 0.22/0.56  (
% 0.22/0.56  (let ((_let_1 (not (=> (forall ((X Int)) (> (tptp.f X) X)) (exists ((Y Int)) (and (< (+ tptp.a tptp.b) Y) (< Y (+ (tptp.f tptp.a) (tptp.f tptp.b))))))))) (let ((_let_2 (tptp.f tptp.a))) (let ((_let_3 (* (- 1) _let_2))) (let ((_let_4 (+ tptp.a _let_3))) (let ((_let_5 (>= _let_4 0))) (let ((_let_6 (tptp.f tptp.b))) (let ((_let_7 (* (- 1) _let_6))) (let ((_let_8 (+ tptp.b _let_7))) (let ((_let_9 (>= _let_8 0))) (let ((_let_10 (>= (+ tptp.a tptp.b _let_3 _let_7) (- 1)))) (let ((_let_11 (forall ((X Int)) (not (>= (+ X (* (- 1) (tptp.f X))) 0))))) (let ((_let_12 (not _let_5))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (NOT_IMPLIES_ELIM1 _let_13))) (let ((_let_15 (_let_11))) (let ((_let_16 ((tptp.f X)))) (let ((_let_17 (ASSUME :args _let_15))) (let ((_let_18 (not _let_9))) (let ((_let_19 (forall ((Y Int)) (or (>= (+ tptp.a tptp.b (* (- 1) Y)) 0) (>= (+ Y (* (- 1) (tptp.f tptp.a)) (* (- 1) (tptp.f tptp.b))) 0))))) (let ((_let_20 (_let_19))) (let ((_let_21 (<= _let_4 (- 1)))) (let ((_let_22 (_let_21))) (let ((_let_23 (ASSUME :args (_let_10)))) (let ((_let_24 (ASSUME :args (_let_18)))) (let ((_let_25 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_23 _let_24 _let_25) :args (_let_12 _let_18 _let_10)) (SCOPE (CONTRA (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_25 :args ((< _let_4 0)))) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_22) (MACRO_SR_PRED_TRANSFORM _let_24 :args ((< _let_8 0))) _let_23 :args (1.0 1.0 (- 1.0))) :args (false)) :args _let_22) :args ((> _let_4 (- 1)))) :args ((not _let_21)))) :args (_let_10 _let_18 _let_12)) :args ((not (and _let_12 _let_18 _let_10)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_5))) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_9))) (REFL :args ((not _let_10))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_20) :args ((+ (- 1) _let_2 _let_6) QUANTIFIERS_INST_CEGQI)) :args _let_20))) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_13)) :args (_let_10 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_15)) _let_14 :args (_let_18 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_15)) _let_14 :args (_let_12 false _let_11)) :args (false false _let_10 true _let_9 true _let_5)) :args (_let_1 true))))))))))))))))))))))))))))
% 0.22/0.56  )
% 0.22/0.56  % SZS output end Proof for ARI605_1
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------