TSTP Solution File: DAT024_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : DAT024_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 15.39s 15.58s
% Output   : Proof 15.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : DAT024_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n018.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 14:58:12 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_ARI
% 15.39/15.58  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ET5gLGcADR/cvc5---1.0.5_20662.p...
% 15.39/15.58  ------- get file name : TPTP file name is DAT024_1
% 15.39/15.58  ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20662.smt2...
% 15.39/15.58  --- Run --finite-model-find --decision=internal at 15...
% 15.39/15.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.39/15.58  % SZS status Theorem for DAT024_1
% 15.39/15.58  % SZS output start Proof for DAT024_1
% 15.39/15.58  (
% 15.39/15.58  (let ((_let_1 (not (forall ((U tptp.collection)) (=> (and (forall ((V Int)) (=> (tptp.in V U) (>= V 0))) (not (tptp.in 0 U)) (not (tptp.in 1 U))) (forall ((W Int)) (=> (tptp.in W U) (>= W 2)))))))) (let ((_let_2 (tptp.in 1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_4 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 2))) (let ((_let_5 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0))) (let ((_let_6 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0))) (let ((_let_7 (not _let_3))) (let ((_let_8 (tptp.in 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (forall ((V Int)) (or (not (tptp.in V SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (>= V 0))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8 _let_2 _let_7 _let_4))) (let ((_let_12 (not _let_2))) (let ((_let_13 (forall ((U tptp.collection) (BOUND_VARIABLE_660 Int)) (or (not (forall ((V Int)) (or (not (tptp.in V U)) (>= V 0)))) (tptp.in 0 U) (tptp.in 1 U) (not (tptp.in BOUND_VARIABLE_660 U)) (>= BOUND_VARIABLE_660 2))))) (let ((_let_14 (not _let_11))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (or))) (let ((_let_17 (not _let_13))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_15) :args (_let_17))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_13))) (REFL :args (_let_14)) :args _let_16)) _let_15 :args (_let_14 true _let_13)))) (let ((_let_19 (REFL :args (_let_11)))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 3)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_3))) :args _let_16)) :args ((or _let_3 _let_11))) _let_18 :args (_let_3 true _let_11)))) (let ((_let_21 (not _let_4))) (let ((_let_22 (not _let_5))) (let ((_let_23 (not _let_8))) (let ((_let_24 (_let_22))) (let ((_let_25 (REFL :args (_let_7)))) (let ((_let_26 (= 0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (ASSUME :args (_let_3)))) (let ((_let_28 (TRUE_INTRO _let_27))) (let ((_let_29 (APPLY_UF tptp.in))) (let ((_let_30 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_31 (ASSUME :args (_let_23)))) (let ((_let_32 (_let_5))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (or _let_7 _let_6))) (let ((_let_35 (_let_9))) (let ((_let_36 (not _let_6))) (let ((_let_37 (= 1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_38 (ASSUME :args (_let_12)))) (let ((_let_39 (ASSUME :args (_let_21)))) (let ((_let_40 (ASSUME :args (_let_6)))) (let ((_let_41 (ASSUME :args _let_24))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_27 (MODUS_PONENS (AND_INTRO _let_41 _let_40 _let_39) (SCOPE (SYMM (ARITH_TRICHOTOMY (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_41 _let_40 :args ((> SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0)))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_39 :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 2)))) :args ((= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 1)))) :args (_let_22 _let_6 _let_21))) _let_38) :args (_let_3 _let_12 _let_21 _let_22 _let_6)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_38)) (CONG (SYMM (SYMM (ASSUME :args (_let_37)))) _let_30 :args _let_29) _let_28)) :args (_let_3 _let_37 _let_12)) :args ((not (and _let_3 _let_12 _let_21 _let_22 _let_6)) SB_LITERAL))) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_2))) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_4))) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_5))) (REFL :args (_let_36)) :args _let_16)) :args ((or _let_2 _let_7 _let_4 _let_5 _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_7 _let_6 (not _let_34)))) _let_20 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in V SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_16)) :args ((or _let_9 _let_11))) _let_18 :args (_let_9 true _let_11)) :args (_let_34 false _let_9)) :args (_let_6 false _let_3 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_27 (MODUS_PONENS _let_33 (SCOPE (SYMM _let_33) :args _let_32)) _let_31) :args (_let_3 _let_23 _let_5)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_31)) (CONG (SYMM (SYMM (ASSUME :args (_let_26)))) _let_30 :args _let_29) _let_28)) :args (_let_3 _let_26 _let_23)) :args ((not (and _let_3 _let_23 _let_5)) SB_LITERAL))) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_8))) (REFL :args _let_24) :args _let_16)) :args ((or _let_8 _let_7 _let_22))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 1)) _let_18 :args (_let_23 true _let_11)) _let_20 :args (_let_22 true _let_8 false _let_3)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 4)) _let_18 :args (_let_21 true _let_11)) _let_20 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 2)) _let_18 :args (_let_12 true _let_11)) :args (false false _let_6 true _let_5 true _let_4 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))))))))))))))))))))))))))))))))))))))))))))
% 15.39/15.58  )
% 15.39/15.58  % SZS output end Proof for DAT024_1
% 15.39/15.58  % cvc5---1.0.5 exiting
% 15.39/15.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------