TSTP Solution File: MGT053+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT053+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 09:09:16 EDT 2023

% Result   : Theorem 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : MGT053+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 06:22:17 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mfhjrIUSU1/cvc5---1.0.5_14600.p...
% 0.20/0.53  ------- get file name : TPTP file name is MGT053+1
% 0.20/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14600.smt2...
% 0.20/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Theorem for MGT053+1
% 0.20/0.53  % SZS output start Proof for MGT053+1
% 0.20/0.53  (
% 0.20/0.53  (let ((_let_1 (forall ((X $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (= (tptp.dissimilar X T1 T2) (tptp.dissimilar X T2 T1))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (= (tptp.dissimilar X T0 T) (and (tptp.organization X) (not (= (tptp.is_aligned X T0) (tptp.is_aligned X T)))))))) (let ((_let_4 (tptp.is_aligned SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.is_aligned SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (not _let_7))) (let ((_let_11 (not _let_6))) (let ((_let_12 (= _let_4 _let_11))) (let ((_let_13 (and _let_8 _let_12))) (let ((_let_14 (tptp.dissimilar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (= _let_14 _let_9))) (let ((_let_16 (tptp.dissimilar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (= _let_16 _let_13))) (let ((_let_18 (= _let_14 _let_16))) (let ((_let_19 (not _let_9))) (let ((_let_20 (not _let_13))) (let ((_let_21 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (= (tptp.dissimilar X T0 T) (and (tptp.organization X) (= (tptp.is_aligned X T) (not (tptp.is_aligned X T0)))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_21))) (let ((_let_24 ((tptp.dissimilar X T0 T)))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_15 false _let_21)))) (let ((_let_26 (not _let_15))) (let ((_let_27 (not _let_14))) (let ((_let_28 (_let_15))) (let ((_let_29 (REORDERING (CNF_EQUIV_POS1 :args _let_28) :args ((or _let_27 _let_9 _let_26))))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_17 false _let_21)))) (let ((_let_31 (not _let_17))) (let ((_let_32 (_let_17))) (let ((_let_33 (REORDERING (CNF_EQUIV_POS1 :args _let_32) :args ((or (not _let_16) _let_13 _let_31))))) (let ((_let_34 (not _let_18))) (let ((_let_35 (_let_2))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (or))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_36) :args _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_34)) :args _let_37)) _let_36 :args (_let_34 true _let_1)))) (let ((_let_39 (_let_18))) (let ((_let_40 (REORDERING (CNF_EQUIV_NEG1 :args _let_39) :args ((or _let_14 _let_16 _let_18))))) (let ((_let_41 (MACRO_RESOLUTION_TRUST _let_40 _let_38 _let_33 _let_30 _let_29 _let_25 (REORDERING (CNF_AND_POS :args (_let_13 0)) :args ((or _let_8 _let_20))) (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_8 _let_19))) :args (_let_8 true _let_18 true _let_16 false _let_17 true _let_14 false _let_15 true _let_13 true _let_9)))) (let ((_let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))))) (let ((_let_43 (_let_7))) (let ((_let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_6))))) (let ((_let_45 (_let_12))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_45) :args ((or _let_4 _let_11 _let_12))) (REORDERING (CNF_EQUIV_POS1 :args _let_43) :args ((or _let_5 _let_11 _let_10))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_45) (CONG (REFL :args _let_45) (REFL :args (_let_5)) _let_44 :args _let_37)) :args ((or _let_6 _let_5 _let_12))) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_43) (CONG (REFL :args (_let_10)) (REFL :args (_let_6)) _let_42 :args _let_37)) :args ((or _let_6 _let_4 _let_10))) :args ((or _let_6 _let_12 _let_10) false _let_4)) (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_7 _let_19))) (CNF_AND_NEG :args (_let_13)) _let_41 _let_29 _let_25 (REORDERING (CNF_EQUIV_POS2 :args _let_32) :args ((or _let_16 _let_20 _let_31))) _let_30 _let_40 _let_38 :args (_let_16 true _let_4 false _let_6 false _let_7 true _let_12 false _let_8 false _let_9 false _let_15 true _let_13 false _let_17 false _let_14 true _let_18)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_28) :args ((or _let_14 _let_19 _let_26))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_39) _let_38 _let_46 :args (_let_27 true _let_18 false _let_16)) _let_25 :args (_let_19 true _let_14 false _let_15)) _let_41 :args (_let_10 true _let_9 false _let_8)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_13 1)) :args ((or _let_12 _let_20))) (MACRO_RESOLUTION_TRUST _let_33 _let_46 _let_30 :args (_let_13 false _let_16 false _let_17)) :args (_let_12 false _let_13)))) (let ((_let_49 (not _let_12))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_43) (CONG (REFL :args _let_43) (REFL :args (_let_11)) _let_42 :args _let_37)) :args ((or _let_4 _let_7 _let_11))) _let_47 (REORDERING (CNF_EQUIV_POS1 :args _let_45) :args ((or _let_5 _let_11 _let_49))) _let_48 :args (_let_11 true _let_7 true _let_4 false _let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_43) :args ((or _let_6 _let_5 _let_7))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_45) (CONG (REFL :args (_let_49)) (REFL :args (_let_4)) _let_44 :args _let_37)) :args ((or _let_6 _let_4 _let_49))) _let_50 _let_48 :args (_let_4 true _let_6 false _let_12)) _let_50 _let_47 :args (false false _let_4 true _let_6 true _let_7)) :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_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for MGT053+1
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------