%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 09:09:19 EDT 2023

% Result   : Theorem 0.21s 0.54s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Aug 28 06:28:34 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.3VoDEtSScV/cvc5---1.0.5_22759.p...
% 0.21/0.54  ------- get file name : TPTP file name is MGT059+1
% 0.21/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22759.smt2...
% 0.21/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54  % SZS status Theorem for MGT059+1
% 0.21/0.54  % SZS output start Proof for MGT059+1
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (not (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (=> (and (tptp.organization X) (tptp.has_immunity X T0) (tptp.has_immunity X T)) (= (tptp.hazard_of_mortality X T0) (tptp.hazard_of_mortality X T))))))) (let ((_let_2 (forall ((X $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.hazard_of_mortality X T))) (let ((_let_2 (tptp.positional_advantage X T))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.is_aligned X T))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.has_immunity X T))) (=> (tptp.organization X) (and (=> _let_6 (= _let_1 tptp.very_low)) (=> (not _let_6) (and (=> (and _let_4 _let_2) (= _let_1 tptp.low)) (=> (and _let_5 _let_2) (= _let_1 tptp.mod1)) (=> (and _let_4 _let_3) (= _let_1 tptp.mod2)) (=> (and _let_5 _let_3) (= _let_1 tptp.high))))))))))))))) (let ((_let_3 (tptp.hazard_of_mortality SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_4 (tptp.hazard_of_mortality SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (= tptp.very_low _let_4))) (let ((_let_7 (= tptp.very_low _let_3))) (let ((_let_8 (tptp.has_immunity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.has_immunity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_9 _let_5))) (let ((_let_15 (not _let_5))) (let ((_let_16 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (or (not (tptp.organization X)) (not (tptp.has_immunity X T0)) (not (tptp.has_immunity X T)) (= (tptp.hazard_of_mortality X T0) (tptp.hazard_of_mortality X T)))))) (let ((_let_17 (not _let_14))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (or))) (let ((_let_20 (not _let_16))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_18) :args (_let_20))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) (REFL :args (_let_17)) :args _let_19)) _let_18 :args (_let_17 true _let_16)))) (let ((_let_22 (or _let_11 _let_6))) (let ((_let_23 (tptp.positional_advantage SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (tptp.is_aligned SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_23))) (let ((_let_27 (and _let_22 (or _let_10 (and (or _let_25 _let_26 (= tptp.low _let_4)) (or _let_24 _let_26 (= tptp.mod1 _let_4)) (or _let_25 _let_23 (= tptp.mod2 _let_4)) (or _let_24 _let_23 (= tptp.high _let_4))))))) (let ((_let_28 (or _let_13 _let_27))) (let ((_let_29 (forall ((X $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.hazard_of_mortality X T))) (let ((_let_2 (tptp.positional_advantage X T))) (let ((_let_3 (tptp.is_aligned X T))) (let ((_let_4 (not _let_3))) (let ((_let_5 (not _let_2))) (let ((_let_6 (tptp.has_immunity X T))) (or (not (tptp.organization X)) (and (or (not _let_6) (= tptp.very_low _let_1)) (or _let_6 (and (or _let_4 _let_5 (= tptp.low _let_1)) (or _let_3 _let_5 (= tptp.mod1 _let_1)) (or _let_4 _let_2 (= tptp.mod2 _let_1)) (or _let_3 _let_2 (= tptp.high _let_1))))))))))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (_let_29))) (let ((_let_32 ((tptp.has_immunity X T)))) (let ((_let_33 (REFL :args (_let_14)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_19)) :args ((or _let_12 _let_14))) _let_21 :args (_let_12 true _let_14)))) (let ((_let_35 (or _let_9 _let_7))) (let ((_let_36 (tptp.positional_advantage SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_37 (tptp.is_aligned SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_36))) (let ((_let_40 (and _let_35 (or _let_8 (and (or _let_38 _let_39 (= tptp.low _let_3)) (or _let_37 _let_39 (= tptp.mod1 _let_3)) (or _let_38 _let_36 (= tptp.mod2 _let_3)) (or _let_37 _let_36 (= tptp.high _let_3))))))) (let ((_let_41 (or _let_13 _let_40))) (let ((_let_42 (and _let_15 _let_6))) (let ((_let_43 (_let_15 _let_6))) (let ((_let_44 (ASSUME :args (_let_15)))) (let ((_let_45 (ASSUME :args (_let_6)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_42)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_44 _let_45) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_45)) (REFL :args (_let_3)) :args (=)) (FALSE_INTRO _let_44))) :args _let_43)) :args _let_43)) :args (true _let_42)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_5))) (REFL :args ((not _let_6))) (REFL :args ((not _let_7))) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_9 _let_7 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 2)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_19)) :args ((or _let_8 _let_14))) _let_21 :args (_let_8 true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_40 0)) :args ((or _let_35 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_13 _let_40 (not _let_41)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_41 false _let_29)) :args (_let_40 false _let_12 false _let_41)) :args (_let_35 false _let_40)) :args (_let_7 false _let_8 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_11 _let_6 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_19)) :args ((or _let_10 _let_14))) _let_21 :args (_let_10 true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_22 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_13 _let_27 (not _let_28)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_28 false _let_29)) :args (_let_27 false _let_12 false _let_28)) :args (_let_22 false _let_27)) :args (_let_6 false _let_10 false _let_22)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 3)) _let_21 :args (_let_15 true _let_14)) :args (false false _let_7 false _let_6 true _let_5)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.smaller_or_equal X Y) (or (tptp.smaller X Y) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greater_or_equal X Y) (or (tptp.greater X Y) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.smaller X Y) (tptp.greater Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.greater X Y) (tptp.greater Y X)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.greater X Y) (tptp.greater Y Z)) (tptp.greater X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.smaller X Y) (= X Y) (tptp.greater X Y))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55  )
% 0.21/0.55  % SZS output end Proof for MGT059+1
% 0.21/0.55  % cvc5---1.0.5 exiting
% 0.21/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------