TSTP Solution File: ARI740_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI740_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 17:31:57 EDT 2023
% Result : Theorem 0.22s 0.57s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI740_1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n019.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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 18:12:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_ARI
% 0.22/0.57 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ivCCi0EI63/cvc5---1.0.5_27813.p...
% 0.22/0.57 ------- get file name : TPTP file name is ARI740_1
% 0.22/0.57 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27813.smt2...
% 0.22/0.57 --- Run --finite-model-find --decision=internal at 15...
% 0.22/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.22/0.57 % SZS status Theorem for ARI740_1
% 0.22/0.57 % SZS output start Proof for ARI740_1
% 0.22/0.57 (
% 0.22/0.57 (let ((_let_1 (tptp.power 2.0 2))) (let ((_let_2 (= _let_1 4.0))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((X Real)) (= (tptp.power X 1) X)))) (let ((_let_5 (forall ((X Real) (N Int)) (=> (< 0 N) (= (tptp.power X N) (* X (tptp.power X (- N 1)))))))) (let ((_let_6 (tptp.power 2.0 1))) (let ((_let_7 (= _let_1 (* 2 _let_6)))) (let ((_let_8 (= _let_6 2.0))) (let ((_let_9 (>= (* (- 1) _let_1) (- 4)))) (let ((_let_10 (ASSUME :args (_let_3)))) (let ((_let_11 (forall ((X Real) (N Int)) (or (not (>= N 1)) (= (tptp.power X N) (* X (tptp.power X (+ (- 1) N)))))))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_12 :args (2.0 2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.power X N)))) :args (_let_11)))) _let_12 :args (_let_7 false _let_11)))) (let ((_let_14 (forall ((X Real)) (= X (tptp.power X 1))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_15 :args (2.0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.power X 1)))) :args (_let_14)))) _let_15 :args (_let_8 false _let_14)))) (let ((_let_17 (or))) (let ((_let_18 (not _let_9))) (let ((_let_19 (REFL :args ((not _let_8))))) (let ((_let_20 (REFL :args ((not _let_7))))) (let ((_let_21 (> _let_1 4.0))) (let ((_let_22 ((<= _let_1 4.0)))) (let ((_let_23 (_let_21))) (let ((_let_24 (false))) (let ((_let_25 (ASSUME :args (_let_7)))) (let ((_let_26 (MACRO_SR_PRED_TRANSFORM _let_25 :args ((= (+ _let_1 (* (- 2) _let_6)) 0.0))))) (let ((_let_27 (ASSUME :args (_let_8)))) (let ((_let_28 (_let_18))) (let ((_let_29 (< _let_1 4.0))) (let ((_let_30 (_let_29))) (let ((_let_31 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_25 _let_27 _let_10 _let_31) :args (_let_3 _let_7 _let_8 _let_9)) (SCOPE (CONTRA (ARITH_TRICHOTOMY _let_10 (MACRO_SR_PRED_TRANSFORM _let_31 :args _let_22) :args _let_30) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_30) _let_27 _let_26 :args (1.0 (- 2.0) (- 1.0))) :args _let_24) :args _let_30) :args ((>= _let_1 4.0))) :args ((not _let_29)))) :args (_let_7 _let_8 _let_3 _let_9)) :args ((not (and _let_3 _let_7 _let_8 _let_9)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) _let_20 _let_19 (REFL :args _let_28) :args _let_17)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_28) :args _let_23) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_23) _let_27 _let_26 :args ((- 1.0) 2.0 1.0)) :args _let_24) :args _let_23) :args _let_22) :args ((not _let_21)))) :args (_let_7 _let_8 _let_18))) (CONG _let_20 _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_9))) :args _let_17)) _let_13 _let_16 :args (_let_9 false _let_7 false _let_8)) _let_16 _let_13 _let_10 :args (false false _let_9 false _let_8 false _let_7 true _let_2)) :args ((forall ((X Real)) (= (tptp.power X 0) 1.0)) (forall ((X Real) (N Int)) (=> (<= 0 N) (= (tptp.power X (+ N 1)) (* X (tptp.power X N))))) _let_5 _let_4 (forall ((X Real) (N Int) (M Int)) (=> (<= 0 N) (=> (<= 0 M) (= (tptp.power X (+ N M)) (* (tptp.power X N) (tptp.power X M)))))) (forall ((X Real) (N Int) (M Int)) (=> (<= 0 N) (=> (<= 0 M) (= (tptp.power X (* N M)) (tptp.power (tptp.power X N) M))))) (forall ((X Real) (Y Real) (N Int)) (=> (<= 0 N) (= (tptp.power (* X Y) N) (* (tptp.power X N) (tptp.power Y N))))) (forall ((X Real) (N Int)) (=> (and (<= 0 N) (<= 1.0 X)) (<= 1.0 (tptp.power X N)))) _let_3 true))))))))))))))))))))))))))))))))))
% 0.22/0.57 )
% 0.22/0.57 % SZS output end Proof for ARI740_1
% 0.22/0.58 % cvc5---1.0.5 exiting
% 0.22/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------