TSTP Solution File: PLA047_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PLA047_1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 : Thu Aug 31 12:59:45 EDT 2023
% Result : Theorem 31.41s 31.65s
% Output : Proof 31.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : PLA047_1 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 05:40:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_ARI
% 31.41/31.65 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.uu6HsxpPFt/cvc5---1.0.5_28283.p...
% 31.41/31.65 ------- get file name : TPTP file name is PLA047_1
% 31.41/31.65 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28283.smt2...
% 31.41/31.65 --- Run --finite-model-find --decision=internal at 15...
% 31.41/31.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 31.41/31.65 --- Run --no-e-matching --full-saturate-quant at 15...
% 31.41/31.65 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 31.41/31.65 % SZS status Theorem for PLA047_1
% 31.41/31.65 % SZS output start Proof for PLA047_1
% 31.41/31.65 (
% 31.41/31.65 (let ((_let_1 (forall ((D Real) (T Int) (C Int)) (= (tptp.mysumr D T C 0) 0.0)))) (let ((_let_2 (forall ((D Real) (T Int) (C Int)) (let ((_let_1 (- C 1))) (let ((_let_2 (to_real T))) (=> (<= 1 C) (= (* (tptp.imp D T C) (* _let_2 (tptp.recexp D T C))) (+ (+ _let_2 (* (* D (tptp.recexp D T _let_1)) (to_real (tptp.lk _let_1)))) (tptp.mysumr D T C (- C 2)))))))))) (let ((_let_3 (forall ((D Real) (T Int) (C Int)) (= (tptp.mysump D T C 0) 0.0)))) (let ((_let_4 (forall ((D Real) (T Int) (C Int)) (=> (<= 1 C) (= (* (to_real T) (tptp.imp D T C)) (+ (* D (to_real (tptp.lk (- C 1)))) (tptp.mysump D T C (- C 2)))))))) (let ((_let_5 (tptp.imp 0.0 2 2))) (let ((_let_6 (* _let_5 (tptp.recexp 0.0 2 2)))) (let ((_let_7 (tptp.mysumr 0.0 2 2 0))) (let ((_let_8 (= _let_7 (+ (- 2) (* 2 _let_6))))) (let ((_let_9 (= _let_7 0.0))) (let ((_let_10 (= _let_6 0.0))) (let ((_let_11 (forall ((D Real) (T Int) (C Int)) (let ((_let_1 (+ (- 1) C))) (or (not (>= C 1)) (= (tptp.mysumr D T C (+ (- 2) C)) (+ (* (- 1) T) (* (- 1) (* D (tptp.recexp D T _let_1) (tptp.lk _let_1))) (* (tptp.imp D T C) (tptp.recexp D T C) T)))))))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (_let_1))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (0.0 2 2 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_16 (= _let_5 0.0))) (let ((_let_17 (>= (* (- 1) _let_5) 0))) (let ((_let_18 (tptp.mysump 0.0 2 2 0))) (let ((_let_19 (= _let_18 0.0))) (let ((_let_20 (= _let_5 (* (/ 1 2) _let_18)))) (let ((_let_21 (_let_3))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args _let_15) :args _let_21)) _let_22 :args (_let_19 false _let_3)))) (let ((_let_24 (forall ((D Real) (T Int) (C Int)) (or (not (>= C 1)) (= (tptp.mysump D T C (+ (- 2) C)) (+ (* (- 1) (* D (tptp.lk (+ (- 1) C)))) (* (tptp.imp D T C) T))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (0.0 2 2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.imp D T C)))) :args (_let_24)))) _let_25 :args (_let_20 false _let_24)))) (let ((_let_27 (or))) (let ((_let_28 (not _let_17))) (let ((_let_29 (not _let_19))) (let ((_let_30 (REFL :args (_let_29)))) (let ((_let_31 (not _let_20))) (let ((_let_32 (REFL :args (_let_31)))) (let ((_let_33 (= (+ _let_5 (* (/ (- 1) 2) _let_18)) 0.0))) (let ((_let_34 ((not _let_33)))) (let ((_let_35 (_let_33))) (let ((_let_36 (false))) (let ((_let_37 (_let_28))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (ASSUME :args (_let_19)))) (let ((_let_40 (ASSUME :args _let_35))) (let ((_let_41 (ASSUME :args (_let_20)))) (let ((_let_42 (MACRO_SR_PRED_TRANSFORM _let_41 :args _let_35))) (let ((_let_43 (not _let_16))) (let ((_let_44 (ASSUME :args (_let_17)))) (let ((_let_45 (ASSUME :args (_let_43)))) (let ((_let_46 (_let_16))) (let ((_let_47 (_let_10))) (let ((_let_48 ((not _let_10)))) (let ((_let_49 (ASSUME :args (_let_9)))) (let ((_let_50 (ASSUME :args (_let_8)))) (let ((_let_51 (ASSUME :args _let_47))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_49 _let_50 _let_51) :args (_let_8 _let_9 _let_10)) (SCOPE (CONTRA _let_51 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_51 (MACRO_SR_PRED_TRANSFORM _let_50 :args ((= (+ _let_7 (* (- 2) _let_6)) (- 2.0)))) _let_49 :args (1.0 (/ 1 2) (/ (- 1) 2))) :args _let_36) :args _let_47) :args _let_48) :args _let_48)) :args (_let_9 _let_8 _let_10)) :args ((not (and _let_8 _let_9 _let_10)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MACRO_SR_PRED_INTRO (ASSUME :args _let_46) :args _let_47) :args _let_46)) :args ((or _let_10 _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_45 _let_44 _let_39 _let_41) :args (_let_20 _let_19 _let_43 _let_17)) (SCOPE (CONTRA _let_42 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_40 _let_39 (ARITH_TRICHOTOMY _let_45 (MACRO_SR_PRED_TRANSFORM _let_44 :args ((<= _let_5 0.0))) :args ((< _let_5 0.0))) :args ((- 1.0) (/ (- 1) 2) 1.0)) :args _let_36) :args _let_35) :args _let_34) :args _let_34)) :args (_let_43 _let_17 _let_19 _let_20)) :args ((not (and _let_20 _let_19 _let_43 _let_17)) SB_LITERAL))) (CONG _let_32 _let_30 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_16))) (REFL :args _let_37) :args _let_27)) :args ((or _let_16 _let_31 _let_29 _let_28))) _let_26 _let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_38 _let_39 _let_41) :args (_let_20 _let_19 _let_28)) (SCOPE (CONTRA _let_42 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_40 _let_39 (MACRO_SR_PRED_TRANSFORM _let_38 :args ((> _let_5 0.0))) :args (1.0 (/ 1 2) (- 1.0))) :args _let_36) :args _let_35) :args _let_34) :args _let_34)) :args (_let_28 _let_19 _let_20)) :args ((not (and _let_20 _let_19 _let_28)) SB_LITERAL))) (CONG _let_32 _let_30 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_17))) :args _let_27)) _let_26 _let_23 :args (_let_17 false _let_20 false _let_19)) :args (_let_16 false _let_20 false _let_19 false _let_17)) :args (_let_10 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args _let_15) :args _let_13)) _let_14 :args (_let_9 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_12 :args (0.0 2 2 QUANTIFIERS_INST_E_MATCHING_VAR_GEN ((tptp.recexp D T (+ (- 1) C))))) :args (_let_11)))) _let_12 :args (_let_8 false _let_11)) :args (false false _let_10 false _let_9 false _let_8)) :args ((not (forall ((S Real)) (=> (and (<= 8000.0 (tptp.recexp S 8000 4)) (<= (/ 9 10) S) (<= S 10.0)) (<= S 1.0)))) (= (tptp.lk 0) 1) (= (tptp.lk 1) 9) (= (tptp.lk 2) 40) (= (tptp.lk 3) 50) (= (tptp.lk 4) 100) (= (tptp.lk 5) 400) (= (tptp.lk 6) 600) (= (tptp.ns 0) 10) (= (tptp.ns 1) 50) (= (tptp.ns 2) 99) (= (tptp.ns 3) 190) (= (tptp.ns 4) 550) (= (tptp.ns 5) 1100) (= (tptp.ns 6) 1600) (forall ((D Real) (T Int) (C Int)) (let ((_let_1 (tptp.ns C))) (= (* (tptp.dc D T C) (to_real (- T _let_1))) (- (to_real T) (* D (to_real _let_1)))))) (forall ((D Real) (T Int)) (= (tptp.imp D T 0) 0.0)) _let_4 _let_3 (forall ((D Real) (T Int) (C Int) (K Int)) (=> (<= 1 K) (= (tptp.mysump D T C K) (+ (* (tptp.dc D T C) (to_real (tptp.lk K))) (tptp.mysump D T C (- K 1)))))) (forall ((D Real) (T Int)) (= (tptp.recexp D T 0) 0.0)) _let_2 _let_1 (forall ((D Real) (T Int) (C Int) (K Int)) (=> (<= 1 K) (= (tptp.mysumr D T C K) (+ (* (tptp.dc D T C) (* (tptp.recexp D T K) (to_real (tptp.lk K)))) (tptp.mysumr D C T (- K 1)))))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 31.41/31.66 )
% 31.41/31.66 % SZS output end Proof for PLA047_1
% 31.41/31.66 % cvc5---1.0.5 exiting
% 31.41/31.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------