TSTP Solution File: ARI608_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI608_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 17:31:28 EDT 2023

% Result   : Theorem 15.34s 15.56s
% Output   : Proof 15.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI608_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n013.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 18:30:47 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_ARI
% 15.34/15.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.r06uHlQJcM/cvc5---1.0.5_15325.p...
% 15.34/15.56  ------- get file name : TPTP file name is ARI608_1
% 15.34/15.56  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15325.smt2...
% 15.34/15.56  --- Run --finite-model-find --decision=internal at 15...
% 15.34/15.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.34/15.56  % SZS status Theorem for ARI608_1
% 15.34/15.56  % SZS output start Proof for ARI608_1
% 15.34/15.56  (
% 15.34/15.56  (let ((_let_1 (tptp.f tptp.c))) (let ((_let_2 (tptp.f tptp.a))) (let ((_let_3 (not (=> (and (forall ((X Int) (Y Int)) (=> (<= X Y) (<= (tptp.f X) (tptp.f Y)))) (<= tptp.a tptp.b) (< tptp.b tptp.c)) (<= _let_2 _let_1))))) (let ((_let_4 (+ tptp.a (* (- 1) tptp.b)))) (let ((_let_5 (>= _let_4 1))) (let ((_let_6 (* (- 1) tptp.c))) (let ((_let_7 (+ tptp.b _let_6))) (let ((_let_8 (>= _let_7 0))) (let ((_let_9 (>= (+ tptp.a _let_6) 1))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (NOT_IMPLIES_ELIM1 _let_10))) (let ((_let_12 (>= (+ _let_2 (* (- 1) _let_1)) 1))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_9 _let_13))) (let ((_let_15 (forall ((X Int) (Y Int)) (or (>= (+ X (* (- 1) Y)) 1) (not (>= (+ (tptp.f X) (* (- 1) (tptp.f Y))) 1)))))) (let ((_let_16 (_let_15))) (let ((_let_17 (not _let_8))) (let ((_let_18 (not _let_5))) (let ((_let_19 (< _let_4 1))) (let ((_let_20 (_let_19))) (let ((_let_21 (ASSUME :args (_let_9)))) (let ((_let_22 (ASSUME :args (_let_17)))) (let ((_let_23 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_21 _let_22 _let_23) :args (_let_18 _let_17 _let_9)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_23 :args _let_20) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_20) (MACRO_SR_PRED_TRANSFORM _let_22 :args ((< _let_7 0))) _let_21 :args (1.0 1.0 (- 1.0))) :args (false)) :args _let_20) :args (_let_5)) :args ((not _let_19)))) :args (_let_9 _let_17 _let_18)) :args ((not (and _let_18 _let_17 _let_9)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_5))) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_8))) (REFL :args ((not _let_9))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_9 (not _let_14)))) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_16) :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.f X) (tptp.f Y)))) :args _let_16)) (AND_ELIM _let_11 :args (0)) :args (_let_14 false _let_15)) :args (_let_9 false _let_12 false _let_14)) (AND_ELIM _let_11 :args (2)) (AND_ELIM _let_11 :args (1)) :args (false false _let_9 true _let_8 true _let_5)) :args (_let_3 true))))))))))))))))))))))))))
% 15.34/15.56  )
% 15.34/15.56  % SZS output end Proof for ARI608_1
% 15.34/15.57  % cvc5---1.0.5 exiting
% 15.34/15.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------