TSTP Solution File: ARI615_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI615_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI615_1 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 18:34:56 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_ARI
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.AQC6GyReyd/cvc5---1.0.5_21760.p...
% 0.20/0.54 ------- get file name : TPTP file name is ARI615_1
% 0.20/0.54 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21760.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 ARI615_1
% 0.20/0.54 % SZS output start Proof for ARI615_1
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (=> (forall ((X Int) (Y Int) (Z Int)) (= (and (<= (+ Y (- Z)) X) (<= X (+ Y Z))) (tptp.p X Y Z))) (forall ((X Int) (Y Int) (Z Int) (W Int)) (=> (<= Z W) (=> (tptp.p X Y Z) (tptp.p X Y W)))))))) (let ((_let_2 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_3 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_4 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 _let_2) 1))) (let ((_let_5 (not _let_4))) (let ((_let_6 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (>= _let_6 0))) (let ((_let_8 (and _let_7 _let_5))) (let ((_let_9 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (not _let_8))) (let ((_let_12 (forall ((X Int) (Y Int) (Z Int)) (let ((_let_1 (* (- 1) Y))) (= (tptp.p X Y Z) (and (>= (+ X _let_1 Z) 0) (not (>= (+ X _let_1 (* (- 1) Z)) 1)))))))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (NOT_IMPLIES_ELIM1 _let_13))) (let ((_let_15 (_let_12))) (let ((_let_16 ((tptp.p X Y Z)))) (let ((_let_17 (ASSUME :args _let_15))) (let ((_let_18 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_2))) (let ((_let_21 (>= _let_20 1))) (let ((_let_22 (or _let_21 _let_19 _let_9))) (let ((_let_23 (not _let_9))) (let ((_let_24 (forall ((X Int) (Y Int) (Z Int) (W Int)) (or (>= (+ Z (* (- 1) W)) 1) (not (tptp.p X Y Z)) (tptp.p X Y W))))) (let ((_let_25 (not _let_22))) (let ((_let_26 (or))) (let ((_let_27 (not _let_24))) (let ((_let_28 (_let_27))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_28)) :args _let_28)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_24))) (REFL :args (_let_25)) :args _let_26)) (NOT_IMPLIES_ELIM2 _let_13) :args (_let_25 true _let_24)))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 2)) _let_29 :args (_let_23 true _let_22)))) (let ((_let_31 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_32 (>= _let_31 1))) (let ((_let_33 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_34 (not _let_32))) (let ((_let_35 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) 0))) (let ((_let_36 (and _let_35 _let_34))) (let ((_let_37 (= _let_18 _let_36))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_26)) :args ((or _let_18 _let_22))) _let_29 :args (_let_18 true _let_22)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_37)) :args ((or _let_19 _let_36 (not _let_37)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_15)) _let_14 :args (_let_37 false _let_12)) :args (_let_36 false _let_18 false _let_37)))) (let ((_let_40 (not _let_36))) (let ((_let_41 (not _let_33))) (let ((_let_42 (_let_41))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_23)))) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (SYMM (ASSUME :args (_let_33))) :args (APPLY_UF tptp.p)) (TRUE_INTRO (ASSUME :args (_let_18))))) :args (_let_18 _let_33 _let_23))) (CONG (REFL :args (_let_19)) (REFL :args _let_42) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_9))) :args _let_26)) :args ((or _let_19 _let_9 _let_41))) _let_38 _let_30 :args (_let_41 false _let_18 true _let_9)))) (let ((_let_44 (not _let_21))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 0)) _let_29 :args (_let_44 true _let_22)))) (let ((_let_46 (false))) (let ((_let_47 (INT_TIGHT_UB (ARITH_TRICHOTOMY (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_44)) :args ((< _let_20 1)))) (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_42) :args ((not (= _let_20 0)))) :args ((< _let_20 0)))))) (let ((_let_48 (_let_4))) (let ((_let_49 (not _let_35))) (let ((_let_50 (not _let_7))) (let ((_let_51 (_let_50))) (let ((_let_52 (_let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_52) (CONG (REFL :args _let_52) (REFL :args _let_51) (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_26)) :args ((or _let_4 _let_8 _let_50))) (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_51) :args ((< _let_6 0))) (ASSUME :args (_let_35)) _let_47 :args (1.0 (- 1.0) 1.0)) :args _let_46) :args (_let_35 _let_44 _let_41 _let_50))) :args ((or _let_49 _let_21 _let_33 _let_7))) :args ((or _let_21 _let_33 _let_7 _let_49))) _let_45 _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 0)) :args ((or _let_35 _let_40))) _let_39 :args (_let_35 false _let_36)) :args (_let_7 true _let_21 true _let_33 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_48) :args _let_48) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_34)) :args ((< _let_31 1)))) _let_47 :args ((- 1.0) 1.0 1.0)) :args _let_46) :args (_let_34 _let_44 _let_41 _let_4))) :args ((or _let_32 _let_21 _let_33 _let_5))) :args ((or _let_21 _let_33 _let_32 _let_5))) _let_45 _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 1)) :args ((or _let_34 _let_40))) _let_39 :args (_let_34 false _let_36)) :args (_let_5 true _let_21 true _let_33 true _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_10)) :args ((or _let_9 _let_11 (not _let_10)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_15)) _let_14 :args (_let_10 false _let_12)) :args (_let_11 true _let_9 false _let_10)) :args (false false _let_7 true _let_4 true _let_8)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for ARI615_1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------