%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI601_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 17:31:26 EDT 2023

% Result   : Theorem 0.21s 0.54s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : ARI601_1 : TPTP v8.1.2. Released v5.1.0.
% 0.06/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n012.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 18:41:39 EDT 2023
% 0.20/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_ARI
% 0.21/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8zNO0U2szU/cvc5---1.0.5_977.p...
% 0.21/0.54  ------- get file name : TPTP file name is ARI601_1
% 0.21/0.54  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_977.smt2...
% 0.21/0.54  --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.21/0.54  % SZS status Theorem for ARI601_1
% 0.21/0.54  % SZS output start Proof for ARI601_1
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (not (=> (forall ((X Int)) (> (tptp.f X) X)) (=> (< 3 tptp.a) (< 4 (tptp.f (+ tptp.a 1)))))))) (let ((_let_2 (>= tptp.a 4))) (let ((_let_3 (+ 1 tptp.a))) (let ((_let_4 (tptp.f _let_3))) (let ((_let_5 (>= _let_4 5))) (let ((_let_6 (+ tptp.a (* (- 1) _let_4)))) (let ((_let_7 (>= _let_6 (- 1)))) (let ((_let_8 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_9 (NOT_IMPLIES_ELIM2 _let_8))) (let ((_let_10 (forall ((X Int)) (not (>= (+ X (* (- 1) (tptp.f X))) 0))))) (let ((_let_11 (not _let_7))) (let ((_let_12 (_let_10))) (let ((_let_13 (not _let_5))) (let ((_let_14 (< _let_4 5))) (let ((_let_15 (_let_14))) (let ((_let_16 (ASSUME :args (_let_2)))) (let ((_let_17 (ASSUME :args (_let_11)))) (let ((_let_18 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_16 _let_17 _let_18) :args (_let_2 _let_13 _let_11)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_18 :args _let_15) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_15) (MACRO_SR_PRED_TRANSFORM _let_17 :args ((< _let_6 (- 1)))) _let_16 :args (1.0 1.0 (- 1.0))) :args (false)) :args _let_15) :args (_let_5)) :args ((not _let_14)))) :args (_let_2 _let_11 _let_13)) :args ((not (and _let_2 _let_13 _let_11)) SB_LITERAL))) (CONG (REFL :args ((not _let_2))) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_5))) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_7))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_12) :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f X)))) :args _let_12))) (NOT_IMPLIES_ELIM1 _let_8) :args (_let_11 false _let_10)) (NOT_IMPLIES_ELIM2 _let_9) (NOT_IMPLIES_ELIM1 _let_9) :args (false true _let_7 true _let_5 false _let_2)) :args (_let_1 true)))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.54  % SZS output end Proof for ARI601_1
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------