TSTP Solution File: ARI182_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI182_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 17:30:02 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI182_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n004.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 18:34:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_ARI
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.bMVD38X48z/cvc5---1.0.5_19673.p...
% 0.20/0.54 ------- get file name : TPTP file name is ARI182_1
% 0.20/0.54 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19673.smt2...
% 0.20/0.54 --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.20/0.54 % SZS status Theorem for ARI182_1
% 0.20/0.54 % SZS output start Proof for ARI182_1
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (=> (forall ((U Int)) (> (tptp.f U) U)) (forall ((V Int) (W Int)) (>= (tptp.f (+ (tptp.f V) W)) (+ (+ V W) 2))))))) (let ((_let_2 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_2))) (let ((_let_4 (* (- 1) (tptp.f _let_3)))) (let ((_let_5 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_4) (- 1)))) (let ((_let_6 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (* (- 1) _let_2)))) (let ((_let_7 (>= _let_6 0))) (let ((_let_8 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_2 _let_4))) (let ((_let_9 (>= _let_8 0))) (let ((_let_10 (forall ((V Int) (W Int)) (not (>= (+ V W (* (- 1) (tptp.f (+ W (tptp.f V))))) (- 1)))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (or))) (let ((_let_13 (_let_5))) (let ((_let_14 (not _let_10))) (let ((_let_15 (not _let_5))) (let ((_let_16 (_let_14))) (let ((_let_17 (forall ((U Int)) (not (>= (+ U (* (- 1) (tptp.f U))) 0))))) (let ((_let_18 (not _let_7))) (let ((_let_19 (NOT_IMPLIES_ELIM1 _let_11))) (let ((_let_20 (_let_17))) (let ((_let_21 ((tptp.f U)))) (let ((_let_22 (ASSUME :args _let_20))) (let ((_let_23 (not _let_9))) (let ((_let_24 (<= _let_8 (- 1)))) (let ((_let_25 (_let_24))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_23)) :args ((< _let_8 0)))) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_25) (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_18)) :args ((< _let_6 0))) (ASSUME :args _let_13) :args (1.0 1.0 (- 1.0))) :args (false)) :args _let_25) :args ((> _let_8 (- 1)))) :args ((not _let_24)))) :args (_let_5 _let_18 _let_23))) (CONG (REFL :args (_let_15)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_7))) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_9))) :args _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_20))) _let_19 :args (_let_23 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_20)) _let_19 :args (_let_18 false _let_17)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_16)) :args _let_16) (REWRITE :args ((=> _let_14 (not _let_15)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_10))) (REFL :args _let_13) :args _let_12)) (NOT_IMPLIES_ELIM2 _let_11) :args (_let_5 true _let_10)) :args (false true _let_9 true _let_7 false _let_5)) :args (_let_1 true))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for ARI182_1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------