TSTP Solution File: ARI614_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI614_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 17:31:29 EDT 2023
% Result : Theorem 0.22s 0.60s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI614_1 : TPTP v8.1.2. Released v5.1.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 17:47:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_ARI
% 0.22/0.60 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.g7zKs8LhNg/cvc5---1.0.5_11036.p...
% 0.22/0.60 ------- get file name : TPTP file name is ARI614_1
% 0.22/0.60 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11036.smt2...
% 0.22/0.60 --- Run --finite-model-find --decision=internal at 15...
% 0.22/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.22/0.60 --- Run --no-e-matching --full-saturate-quant at 15...
% 0.22/0.60 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 0.22/0.60 % SZS status Theorem for ARI614_1
% 0.22/0.60 % SZS output start Proof for ARI614_1
% 0.22/0.60 (
% 0.22/0.60 (let ((_let_1 (not (=> (and (forall ((X Int)) (=> (< tptp.a X) (tptp.p X))) (forall ((X Int)) (=> (< X 0) (tptp.q X)))) (exists ((X Int) (Y Int)) (and (tptp.p X) (tptp.q Y) (= (+ X Y) 0))))))) (let ((_let_2 (>= tptp.a 1))) (let ((_let_3 (>= tptp.a 0))) (let ((_let_4 (tptp.p 1))) (let ((_let_5 (or _let_2 _let_4))) (let ((_let_6 (forall ((X Int)) (or (>= (+ tptp.a (* (- 1) X)) 0) (tptp.p X))))) (let ((_let_7 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_8 (NOT_IMPLIES_ELIM1 _let_7))) (let ((_let_9 (AND_ELIM _let_8 :args (0)))) (let ((_let_10 (_let_6))) (let ((_let_11 (ASSUME :args _let_10))) (let ((_let_12 (tptp.q (- 1)))) (let ((_let_13 (not _let_12))) (let ((_let_14 (not _let_4))) (let ((_let_15 (or _let_14 _let_13))) (let ((_let_16 (forall ((Y Int)) (or (not (tptp.p (* (- 1) Y))) (not (tptp.q Y)))))) (let ((_let_17 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_7)))) (let ((_let_18 (_let_16))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (forall ((X Int)) (or (>= X 0) (tptp.q X))))) (let ((_let_21 (AND_ELIM _let_8 :args (1)))) (let ((_let_22 (_let_20))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (+ (- 1) (* (- 1) tptp.a)))) (let ((_let_25 (tptp.q _let_24))) (let ((_let_26 (not _let_3))) (let ((_let_27 (or _let_26 _let_25))) (let ((_let_28 (not _let_25))) (let ((_let_29 (+ 1 tptp.a))) (let ((_let_30 (tptp.p _let_29))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_28))) (let ((_let_33 (> tptp.a (- 1)))) (let ((_let_34 ((<= tptp.a (- 1))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_34) (ASSUME :args (_let_2)) :args (1.0 (- 1.0))) :args (false)) :args _let_34) :args (_let_33)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_26)) :args ((< tptp.a 0)))) :args ((not _let_33)))) :args (_let_26 _let_2))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_3))) (REFL :args ((not _let_2))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_25 _let_26 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_28 (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (_let_29 QUANTIFIERS_INST_CEGQI)) :args _let_10))) _let_9 :args (_let_30 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_VAR_GEN ((not (= (tptp.p (* (- 1) Y)) false))))) :args _let_18))) _let_17 :args (_let_32 false _let_16)) :args (_let_28 false _let_30 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.q X) true))))) :args _let_22))) _let_21 :args (_let_27 false _let_20)) :args (_let_26 true _let_25 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_5)) :args ((or _let_4 _let_2 (not _let_5)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_13 _let_14 (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args ((- 1) QUANTIFIERS_INST_CEGQI)) :args _let_22))) _let_21 :args (_let_12 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args ((- 1) QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.q Y) false))))) :args _let_18))) _let_17 :args (_let_15 false _let_16)) :args (_let_14 false _let_12 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p X) true))))) :args _let_10))) _let_9 :args (_let_5 false _let_6)) :args (_let_2 true _let_4 false _let_5)) :args (false true _let_3 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))
% 0.22/0.61 )
% 0.22/0.61 % SZS output end Proof for ARI614_1
% 0.22/0.61 % cvc5---1.0.5 exiting
% 0.22/0.61 % cvc5---1.0.5 exiting
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