%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : DAT025_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 22:10:21 EDT 2023

% Result   : Theorem 15.46s 15.63s
% Output   : Proof 15.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : DAT025_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 14:49:42 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_ARI
% 15.46/15.63  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TZGL0l3DaW/cvc5---1.0.5_31735.p...
% 15.46/15.63  ------- get file name : TPTP file name is DAT025_1
% 15.46/15.63  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31735.smt2...
% 15.46/15.63  --- Run --finite-model-find --decision=internal at 15...
% 15.46/15.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.46/15.63  % SZS status Theorem for DAT025_1
% 15.46/15.63  % SZS output start Proof for DAT025_1
% 15.46/15.63  (
% 15.46/15.63  (let ((_let_1 (not (forall ((U tptp.collection)) (=> (and (forall ((V Int)) (=> (tptp.in V U) (>= V 0))) (forall ((W Int)) (= (tptp.in W U) (tptp.in W (tptp.remove 0 (tptp.remove 1 U)))))) (forall ((X Int)) (=> (tptp.in X U) (>= X 2)))))))) (let ((_let_2 (forall ((X3 Int) (X4 tptp.collection) (X5 Int)) (= (and (tptp.in X3 X4) (not (= X3 X5))) (tptp.in X3 (tptp.remove X5 X4)))))) (let ((_let_3 (forall ((X Int) (Y tptp.collection)) (not (tptp.in X (tptp.remove X Y)))))) (let ((_let_4 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 2))) (let ((_let_5 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0))) (let ((_let_6 (tptp.remove 1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.in 1 _let_6))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_6))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0))) (let ((_let_10 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (not _let_10))) (let ((_let_12 (forall ((W Int)) (= (tptp.in W SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.in W (tptp.remove 0 (tptp.remove 1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (forall ((V Int)) (or (not (tptp.in V SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (>= V 0))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_11 _let_4))) (let ((_let_17 (not _let_4))) (let ((_let_18 (forall ((U tptp.collection) (BOUND_VARIABLE_665 Int)) (or (not (forall ((V Int)) (or (not (tptp.in V U)) (>= V 0)))) (not (forall ((W Int)) (= (tptp.in W U) (tptp.in W (tptp.remove 0 (tptp.remove 1 U)))))) (not (tptp.in BOUND_VARIABLE_665 U)) (>= BOUND_VARIABLE_665 2))))) (let ((_let_19 (not _let_16))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (or))) (let ((_let_22 (not _let_18))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_20) :args (_let_22))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) (REFL :args (_let_19)) :args _let_21)) _let_20 :args (_let_19 true _let_18)))) (let ((_let_24 (or _let_11 _let_5))) (let ((_let_25 (REFL :args (_let_16)))) (let ((_let_26 (_let_14))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 2)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_21)) :args ((or _let_10 _let_16))) _let_23 :args (_let_10 true _let_16)))) (let ((_let_28 (not _let_7))) (let ((_let_29 (_let_3))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (not _let_9))) (let ((_let_32 (and _let_8 _let_31))) (let ((_let_33 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.remove 0 _let_6)))) (let ((_let_34 (= _let_33 _let_32))) (let ((_let_35 (_let_2))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (= _let_10 _let_33))) (let ((_let_38 (_let_12))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_34)) :args ((or (not _let_33) _let_32 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_37)) :args ((or _let_11 _let_33 (not _let_37)))) _let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_38) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in W SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 1)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_21)) :args ((or _let_12 _let_16))) _let_23 :args (_let_12 true _let_16)) :args (_let_37 false _let_12)) :args (_let_33 false _let_10 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_6 0 QUANTIFIERS_INST_E_MATCHING ((tptp.in X3 (tptp.remove X5 X4))))) :args _let_35))) _let_36 :args (_let_34 false _let_2)) :args (_let_32 false _let_33 false _let_34)))) (let ((_let_40 (not _let_32))) (let ((_let_41 (not _let_8))) (let ((_let_42 (not _let_5))) (let ((_let_43 (= 1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_44 (ASSUME :args (_let_8)))) (let ((_let_45 (ASSUME :args (_let_28)))) (let ((_let_46 (ASSUME :args (_let_17)))) (let ((_let_47 (ASSUME :args (_let_31)))) (let ((_let_48 (ASSUME :args (_let_5)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_44 (MODUS_PONENS (AND_INTRO _let_48 _let_47 _let_46) (SCOPE (SYMM (ARITH_TRICHOTOMY (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_48 _let_47 :args ((> SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0)))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_46 :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 2)))) :args ((= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 1)))) :args (_let_5 _let_31 _let_17))) _let_45) :args (_let_17 _let_5 _let_28 _let_8 _let_31)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_45)) (CONG (SYMM (SYMM (ASSUME :args (_let_43)))) (REFL :args (_let_6)) :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_44))) :args (_let_8 _let_43 _let_28)) :args ((not (and _let_17 _let_5 _let_28 _let_8 _let_31)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_4))) (REFL :args (_let_42)) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_7))) (REFL :args (_let_41)) (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_9))) :args _let_21)) :args ((or _let_4 _let_42 _let_7 _let_9 _let_41))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 1)) :args ((or _let_31 _let_40))) _let_39 :args (_let_31 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 0)) :args ((or _let_8 _let_40))) _let_39 :args (_let_8 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.remove X Y)))) :args _let_29)) _let_30 :args (_let_28 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_11 _let_5 (not _let_24)))) _let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in V SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_21)) :args ((or _let_14 _let_16))) _let_23 :args (_let_14 true _let_16)) :args (_let_24 false _let_14)) :args (_let_5 false _let_10 false _let_24)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 3)) _let_23 :args (_let_17 true _let_16)) :args (false true _let_9 false _let_8 true _let_7 false _let_5 true _let_4)) :args ((forall ((U Int)) (not (tptp.in U tptp.empty))) (forall ((V Int) (W tptp.collection)) (tptp.in V (tptp.add V W))) _let_3 (forall ((Z Int) (X1 tptp.collection) (X2 Int)) (= (or (tptp.in Z X1) (= Z X2)) (tptp.in Z (tptp.add X2 X1)))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.46/15.64  )
% 15.46/15.64  % SZS output end Proof for DAT025_1
% 15.46/15.64  % cvc5---1.0.5 exiting
% 15.46/15.64  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------