TSTP Solution File: ARI573_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI573_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 17:31:20 EDT 2023

% Result   : Theorem 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI573_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n027.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 18:27:23 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_ARI
% 0.21/0.53  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.tlHuOPCEyr/cvc5---1.0.5_1375.p...
% 0.21/0.53  ------- get file name : TPTP file name is ARI573_1
% 0.21/0.53  ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1375.smt2...
% 0.21/0.53  --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.53  % SZS status Theorem for ARI573_1
% 0.21/0.53  % SZS output start Proof for ARI573_1
% 0.21/0.53  (
% 0.21/0.53  (let ((_let_1 (not (forall ((X Int) (Y Int) (Z Int)) (=> (and (<= 1 (+ (* X 2) (- Y))) (<= 1 (+ (* Y 2) (- Z))) (<= 1 (+ (* Z 2) (- X)))) (<= 2 (+ (+ X Y) Z))))))) (let ((_let_2 (>= (+ (* 2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 1))) (let ((_let_3 (>= (+ (* 2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) 1))) (let ((_let_4 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_5 (>= _let_4 0))) (let ((_let_6 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (>= _let_6 2))) (let ((_let_8 (not _let_3))) (let ((_let_9 (not _let_2))) (let ((_let_10 (or _let_9 _let_8 _let_5 _let_7))) (let ((_let_11 (forall ((X Int) (Y Int) (Z Int)) (or (not (>= (+ (* 2 X) (* (- 1) Y)) 1)) (not (>= (+ (* 2 Y) (* (- 1) Z)) 1)) (>= (+ X (* (- 2) Z)) 0) (>= (+ X Y Z) 2))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (or))) (let ((_let_15 (not _let_11))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_13) :args (_let_15))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_11))) (REFL :args (_let_12)) :args _let_14)) _let_13 :args (_let_12 true _let_11)))) (let ((_let_17 (REFL :args (_let_10)))) (let ((_let_18 (not _let_5))) (let ((_let_19 (not _let_7))) (let ((_let_20 (< _let_6 2))) (let ((_let_21 (_let_20))) (let ((_let_22 (ASSUME :args (_let_18)))) (let ((_let_23 (ASSUME :args (_let_2)))) (let ((_let_24 (ASSUME :args (_let_3)))) (let ((_let_25 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_22 _let_23 _let_24 _let_25) :args (_let_2 _let_3 _let_18 _let_19)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_25 :args _let_21) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_21) _let_24 _let_23 (MACRO_SR_PRED_TRANSFORM _let_22 :args ((< _let_4 0))) :args (1.0 (- 1.0) (- 1.0) 1.0)) :args (false)) :args _let_21) :args (_let_7)) :args ((not _let_20)))) :args (_let_18 _let_2 _let_3 _let_19)) :args ((not (and _let_2 _let_3 _let_18 _let_19)) SB_LITERAL))) (CONG (REFL :args (_let_9)) (REFL :args (_let_8)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_5))) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_7))) :args _let_14)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_10 3)) _let_16 :args (_let_19 true _let_10)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_10 2)) _let_16 :args (_let_18 true _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 1)) (CONG _let_17 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_3))) :args _let_14)) :args ((or _let_3 _let_10))) _let_16 :args (_let_3 true _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 0)) (CONG _let_17 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_2))) :args _let_14)) :args ((or _let_2 _let_10))) _let_16 :args (_let_2 true _let_10)) :args (false true _let_7 true _let_5 false _let_3 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))
% 0.21/0.53  )
% 0.21/0.53  % SZS output end Proof for ARI573_1
% 0.21/0.53  % cvc5---1.0.5 exiting
% 0.21/0.53  % cvc5---1.0.5 exiting
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