%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : DAT030_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 22:10:22 EDT 2023

% Result   : Theorem 15.40s 15.63s
% Output   : Proof 15.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : DAT030_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n024.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   : Thu Aug 24 14:50:24 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_ARI
% 15.40/15.63  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3zx7Wt5CPo/cvc5---1.0.5_5210.p...
% 15.40/15.63  ------- get file name : TPTP file name is DAT030_1
% 15.40/15.63  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5210.smt2...
% 15.40/15.63  --- Run --finite-model-find --decision=internal at 15...
% 15.40/15.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.40/15.63  % SZS status Theorem for DAT030_1
% 15.40/15.63  % SZS output start Proof for DAT030_1
% 15.40/15.63  (
% 15.40/15.63  (let ((_let_1 (not (forall ((U tptp.collection) (V tptp.collection)) (=> (and (forall ((W Int)) (=> (tptp.in W V) (> W 0))) (forall ((X Int)) (=> (tptp.in X U) (exists ((Y Int) (Z Int)) (and (tptp.in Y V) (tptp.in Z V) (= X (+ Y Z))))))) (forall ((X1 Int)) (=> (tptp.in X1 U) (> X1 1)))))))) (let ((_let_2 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 2))) (let ((_let_3 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 1))) (let ((_let_4 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_5 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_4))) (let ((_let_6 (>= _let_5 1))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((X Int)) (or (not (tptp.in X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (forall ((Z Int)) (or (not (tptp.in (+ X (* (- 1) Z)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.in Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (forall ((W Int)) (or (not (tptp.in W SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (>= W 1))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10 _let_8 _let_2))) (let ((_let_14 (not _let_2))) (let ((_let_15 (forall ((U tptp.collection) (V tptp.collection) (BOUND_VARIABLE_717 Int)) (or (not (forall ((W Int)) (or (not (tptp.in W V)) (>= W 1)))) (not (forall ((X Int)) (or (not (tptp.in X U)) (not (forall ((Z Int)) (or (not (tptp.in (+ X (* (- 1) Z)) V)) (not (tptp.in Z V)))))))) (not (tptp.in BOUND_VARIABLE_717 U)) (>= BOUND_VARIABLE_717 2))))) (let ((_let_16 (not _let_13))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (or))) (let ((_let_19 (not _let_15))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_18)) _let_17 :args (_let_16 true _let_15)))) (let ((_let_21 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_3))) (let ((_let_24 (REFL :args (_let_13)))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_18)) :args ((or _let_11 _let_13))) _let_20 :args (_let_11 true _let_13)))) (let ((_let_26 (_let_11))) (let ((_let_27 ((not (= (tptp.in W SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) false))))) (let ((_let_28 (ASSUME :args _let_26))) (let ((_let_29 (tptp.in _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_22))) (let ((_let_32 (forall ((Z Int)) (or (not (tptp.in (+ (* (- 1) Z) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.in Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_33 (not _let_31))) (let ((_let_34 (not _let_32))) (let ((_let_35 (or _let_8 _let_34))) (let ((_let_36 (_let_9))) (let ((_let_37 (_let_34))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_37)) :args _let_37) (REWRITE :args ((=> _let_34 (not (or (not (tptp.in (+ _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_22))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_32))) (REFL :args (_let_33)) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_8 _let_34 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 2)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_18)) :args ((or _let_7 _let_13))) _let_20 :args (_let_7 true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 1)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_18)) :args ((or _let_9 _let_13))) _let_20 :args (_let_9 true _let_13)) :args (_let_35 false _let_9)) :args (_let_34 false _let_7 false _let_35)) :args (_let_33 true _let_32)))) (let ((_let_39 (REFL :args (_let_31)))) (let ((_let_40 (or _let_30 _let_6))) (let ((_let_41 (< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 2))) (let ((_let_42 (_let_41))) (let ((_let_43 (ASSUME :args (_let_6)))) (let ((_let_44 (ASSUME :args (_let_3)))) (let ((_let_45 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_43 _let_44 _let_45) :args (_let_14 _let_3 _let_6)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_45 :args _let_42) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_42) _let_44 _let_43 :args (1.0 (- 1.0) (- 1.0))) :args (false)) :args _let_42) :args (_let_2)) :args ((not _let_41)))) :args (_let_6 _let_3 _let_14)) :args ((not (and _let_14 _let_3 _let_6)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_2))) (REFL :args ((not _let_3))) (REFL :args ((not _let_6))) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_30 _let_6 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_18)) :args ((or _let_29 _let_31))) _let_38 :args (_let_29 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_40 false _let_11)) :args (_let_6 false _let_29 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_3 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_18)) :args ((or _let_21 _let_31))) _let_38 :args (_let_21 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_23 false _let_11)) :args (_let_3 false _let_21 false _let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 3)) _let_20 :args (_let_14 true _let_13)) :args (false false _let_6 false _let_3 true _let_2)) :args ((forall ((U Int)) (not (tptp.in U tptp.empty))) (forall ((V Int) (W tptp.collection)) (tptp.in V (tptp.add V W))) (forall ((X Int) (Y tptp.collection)) (not (tptp.in X (tptp.remove X Y)))) (forall ((Z Int) (X1 tptp.collection) (X2 Int)) (= (or (tptp.in Z X1) (= Z X2)) (tptp.in Z (tptp.add X2 X1)))) (forall ((X3 Int) (X4 tptp.collection) (X5 Int)) (= (and (tptp.in X3 X4) (not (= X3 X5))) (tptp.in X3 (tptp.remove X5 X4)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))
% 15.40/15.64  )
% 15.40/15.64  % SZS output end Proof for DAT030_1
% 15.40/15.64  % cvc5---1.0.5 exiting
% 15.40/15.64  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------