TSTP Solution File: ARI741_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI741_1 : TPTP v8.1.2. Released v7.0.0.
% 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 17:31:57 EDT 2023
% Result : Theorem 15.41s 15.61s
% Output : Proof 15.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : ARI741_1 : TPTP v8.1.2. Released v7.0.0.
% 0.06/0.14 % 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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 18:29:47 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_ARI
% 15.41/15.61 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.bDIaD1Jxey/cvc5---1.0.5_11986.p...
% 15.41/15.61 ------- get file name : TPTP file name is ARI741_1
% 15.41/15.61 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11986.smt2...
% 15.41/15.61 --- Run --finite-model-find --decision=internal at 15...
% 15.41/15.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.41/15.61 % SZS status Theorem for ARI741_1
% 15.41/15.61 % SZS output start Proof for ARI741_1
% 15.41/15.61 (
% 15.41/15.61 (let ((_let_1 (tptp.pow 2.0 2.0))) (let ((_let_2 (= _let_1 4.0))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((X Real)) (=> (< 0.0 X) (= (tptp.pow X 2.0) (tptp.sqr X)))))) (let ((_let_5 (forall ((X Real)) (= (tptp.sqr X) (* X X))))) (let ((_let_6 (forall ((X Real) (Y Real)) (=> (< 0.0 X) (= (tptp.pow X Y) (tptp.exp (* Y (tptp.log X)))))))) (let ((_let_7 (= _let_1 (tptp.exp (* 2 (tptp.log 2.0)))))) (let ((_let_8 (tptp.sqr 2.0))) (let ((_let_9 (= _let_1 _let_8))) (let ((_let_10 (= _let_8 4.0))) (let ((_let_11 (ASSUME :args (_let_3)))) (let ((_let_12 (forall ((X Real) (Y Real)) (or (>= (* (- 1) X) 0) (= (tptp.pow X Y) (tptp.exp (* Y (tptp.log X)))))))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (forall ((X Real)) (or (>= (* (- 1) X) 0) (= (tptp.pow X 2.0) (tptp.sqr X)))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (forall ((X Real)) (= (tptp.sqr X) (* X X))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (ASSUME :args (_let_10)))) (let ((_let_19 (ASSUME :args (_let_7)))) (let ((_let_20 (SYMM (SYMM _let_19)))) (let ((_let_21 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_19 _let_21 _let_18 _let_11) :args (_let_3 _let_7 _let_9 _let_10)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_11)) (TRUE_INTRO (TRANS _let_20 (SYMM (TRANS (SYMM _let_21) _let_20)) _let_18)))) :args (_let_7 _let_9 _let_10 _let_3)) :args ((not (and _let_3 _let_7 _let_9 _let_10)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args ((not _let_7))) (REFL :args ((not _let_9))) (REFL :args ((not _let_10))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (2.0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sqr X)))) :args (_let_16)))) _let_17 :args (_let_10 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_15 :args (2.0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pow X 2.0)))) :args (_let_14)))) _let_15 :args (_let_9 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (2.0 2.0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pow X Y)))) :args (_let_12)))) _let_13 :args (_let_7 false _let_12)) _let_11 :args (false false _let_10 false _let_9 false _let_7 true _let_2)) :args ((= (tptp.exp 0.0) 1.0) (forall ((X Real) (Y Real)) (= (tptp.exp (+ X Y)) (* (tptp.exp X) (tptp.exp Y)))) (= (tptp.log 1.0) 0.0) (forall ((X Real) (Y Real)) (=> (and (< 0.0 X) (< 0.0 Y)) (= (tptp.log (* X Y)) (+ (tptp.log X) (tptp.log Y))))) (forall ((X Real)) (= (tptp.log (tptp.exp X)) X)) (forall ((X Real)) (=> (< 0.0 X) (= (tptp.exp (tptp.log X)) X))) (forall ((X Real)) (= (tptp.log2 X) (/ (tptp.log X) (tptp.log 2.0)))) (forall ((X Real)) (= (tptp.log10 X) (/ (tptp.log X) (tptp.log 10.0)))) _let_6 (forall ((X Real) (Y Real)) (=> (< 0.0 X) (< 0.0 (tptp.pow X Y)))) (forall ((X Real) (Y Real) (Z Real)) (=> (< 0.0 Z) (= (tptp.pow Z (+ X Y)) (* (tptp.pow Z X) (tptp.pow Z Y))))) (forall ((X Real) (Y Real) (Z Real)) (=> (< 0.0 X) (= (tptp.pow (tptp.pow X Y) Z) (tptp.pow X (* Y Z))))) (forall ((X Real)) (=> (< 0.0 X) (= (tptp.pow X 0.0) 1.0))) (forall ((X Real)) (=> (< 0.0 X) (= (tptp.pow X 1.0) X))) (forall ((Y Real)) (= (tptp.pow 1.0 Y) 1.0)) _let_5 (forall ((X Real)) (=> (<= 0.0 X) (<= 0.0 (tptp.sqrt X)))) (forall ((X Real)) (=> (<= 0.0 X) (= (tptp.sqr (tptp.sqrt X)) X))) (forall ((X Real)) (=> (<= 0.0 X) (= (tptp.sqrt (* X X)) X))) (forall ((X Real) (Y Real)) (=> (and (<= 0.0 X) (<= 0.0 Y)) (= (tptp.sqrt (* X Y)) (* (tptp.sqrt X) (tptp.sqrt Y))))) (forall ((X Real) (Y Real)) (=> (and (<= 0.0 X) (<= X Y)) (<= (tptp.sqrt X) (tptp.sqrt Y)))) _let_4 (forall ((X Real)) (=> (< 0.0 X) (= (tptp.pow X (/ 1 2)) (tptp.sqrt X)))) _let_3 true))))))))))))))))))))))))
% 15.41/15.61 )
% 15.41/15.61 % SZS output end Proof for ARI741_1
% 15.41/15.61 % cvc5---1.0.5 exiting
% 15.41/15.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------