TSTP Solution File: MSC017+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MSC017+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 : Thu Aug 31 09:21:37 EDT 2023

% Result   : Theorem 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : MSC017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n007.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 13:36:40 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6pz2lm00N3/cvc5---1.0.5_1859.p...
% 0.20/0.51  ------- get file name : TPTP file name is MSC017+1
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1859.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.51  % SZS status Theorem for MSC017+1
% 0.20/0.51  % SZS output start Proof for MSC017+1
% 0.20/0.51  (
% 0.20/0.51  (let ((_let_1 (not (forall ((D $$unsorted)) (=> (tptp.dive D) (forall ((O $$unsorted)) (=> (tptp.outcome D O) (not (tptp.bad O))))))))) (let ((_let_2 (forall ((D $$unsorted)) (=> (tptp.dive D) (and (not (tptp.greater (tptp.depth D) tptp.depth_limit)) (not (tptp.greater (tptp.time D) tptp.time_limit))))))) (let ((_let_3 (forall ((D $$unsorted)) (=> (tptp.dive D) (forall ((O $$unsorted)) (=> (and (tptp.outcome D O) (tptp.bad O)) (= O tptp.dci))))))) (let ((_let_4 (forall ((D $$unsorted)) (=> (tptp.dive D) (= (tptp.greater (tptp.nitrogen D) tptp.nitrogen_limit) (tptp.outcome D tptp.dci)))))) (let ((_let_5 (forall ((D $$unsorted)) (=> (tptp.dive D) (= (or (tptp.greater (tptp.depth D) tptp.depth_limit) (tptp.greater (tptp.time D) tptp.time_limit)) (tptp.greater (tptp.nitrogen D) tptp.nitrogen_limit)))))) (let ((_let_6 (tptp.outcome SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (= tptp.dci SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.outcome SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.dci))) (let ((_let_9 (tptp.bad SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (not _let_9))) (let ((_let_11 (not _let_6))) (let ((_let_12 (tptp.dive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_10))) (let ((_let_15 (forall ((D $$unsorted) (BOUND_VARIABLE_712 $$unsorted)) (or (not (tptp.dive D)) (not (tptp.outcome D BOUND_VARIABLE_712)) (not (tptp.bad BOUND_VARIABLE_712)))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (or))) (let ((_let_19 (not _let_15))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_18)) _let_17 :args (_let_16 true _let_15)))) (let ((_let_21 (REFL :args (_let_14)))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_6))) :args _let_18)) :args ((or _let_6 _let_14))) _let_20 :args (_let_6 true _let_14)))) (let ((_let_23 (or _let_13 _let_11 _let_10 _let_7))) (let ((_let_24 (forall ((D $$unsorted) (BOUND_VARIABLE_686 $$unsorted)) (or (not (tptp.dive D)) (not (tptp.outcome D BOUND_VARIABLE_686)) (not (tptp.bad BOUND_VARIABLE_686)) (= tptp.dci BOUND_VARIABLE_686))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_18)) :args ((or _let_12 _let_14))) _let_20 :args (_let_12 true _let_14)))) (let ((_let_27 (tptp.greater (tptp.nitrogen SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.nitrogen_limit))) (let ((_let_28 (= _let_27 _let_8))) (let ((_let_29 (not _let_8))) (let ((_let_30 (or _let_13 _let_28))) (let ((_let_31 (forall ((D $$unsorted)) (or (not (tptp.dive D)) (= (tptp.greater (tptp.nitrogen D) tptp.nitrogen_limit) (tptp.outcome D tptp.dci)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (tptp.greater (tptp.time SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.time_limit))) (let ((_let_34 (tptp.greater (tptp.depth SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.depth_limit))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (= _let_35 _let_27))) (let ((_let_37 (not _let_27))) (let ((_let_38 (or _let_13 _let_36))) (let ((_let_39 (forall ((D $$unsorted)) (or (not (tptp.dive D)) (= (or (tptp.greater (tptp.depth D) tptp.depth_limit) (tptp.greater (tptp.time D) tptp.time_limit)) (tptp.greater (tptp.nitrogen D) tptp.nitrogen_limit)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (not _let_35))) (let ((_let_42 (not _let_33))) (let ((_let_43 (not _let_34))) (let ((_let_44 (and _let_43 _let_42))) (let ((_let_45 (or _let_13 _let_44))) (let ((_let_46 (forall ((D $$unsorted)) (or (not (tptp.dive D)) (and (not (tptp.greater (tptp.depth D) tptp.depth_limit)) (not (tptp.greater (tptp.time D) tptp.time_limit))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_13 _let_44 (not _let_45)))) _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.dive D) false))))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_44 false _let_12 false _let_45)))) (let ((_let_49 (not _let_44))) (let ((_let_50 (and _let_6 _let_7))) (let ((_let_51 (_let_6 _let_7))) (let ((_let_52 (ASSUME :args (_let_6)))) (let ((_let_53 (ASSUME :args (_let_7)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_53) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM (SYMM _let_53)) :args (APPLY_UF tptp.outcome)) (TRUE_INTRO _let_52))) :args _let_51)) :args _let_51)) :args (true _let_50)) :args ((or _let_11 _let_8 (not _let_7)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_28)) :args ((or _let_27 _let_29 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_36)) :args ((or _let_35 _let_37 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 _let_41))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_44 0)) :args ((or _let_43 _let_49))) _let_48 :args (_let_43 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_44 1)) :args ((or _let_42 _let_49))) _let_48 :args (_let_42 false _let_44)) :args (_let_41 true _let_34 true _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_13 _let_36 (not _let_38)))) _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.dive D) false))))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_36 false _let_12 false _let_38)) :args (_let_37 true _let_35 false _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_13 _let_28 (not _let_30)))) _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.dive D) false))))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_28 false _let_12 false _let_30)) :args (_let_29 true _let_27 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_13 _let_11 _let_10 _let_7 (not _let_23)))) _let_26 _let_22 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 2)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_18)) :args ((or _let_9 _let_14))) _let_20 :args (_let_9 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.outcome D BOUND_VARIABLE_686) false))))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_7 false _let_12 false _let_6 false _let_9 false _let_23)) _let_22 :args (false true _let_8 false _let_7 false _let_6)) :args ((forall ((D $$unsorted)) (=> (tptp.dive D) (= (tptp.nitrogen D) (tptp.padi (tptp.depth D) (tptp.time D))))) _let_5 _let_4 (tptp.bad tptp.dci) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.52  )
% 0.20/0.52  % SZS output end Proof for MSC017+1
% 0.20/0.52  % cvc5---1.0.5 exiting
% 0.20/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------