TSTP Solution File: MGT045+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT045+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 09:09:13 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
% 0.10/0.12  % Problem    : MGT045+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n005.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   : Mon Aug 28 06:32:23 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.RaLsr0GlRC/cvc5---1.0.5_9356.p...
% 0.20/0.53  ------- get file name : TPTP file name is MGT045+1
% 0.20/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9356.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 MGT045+1
% 0.20/0.53  % SZS output start Proof for MGT045+1
% 0.20/0.53  (
% 0.20/0.53  (let ((_let_1 (not (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (=> (and (tptp.organization X) (tptp.greater (tptp.age X T) (tptp.age X T0))) (tptp.greater (tptp.position X T) (tptp.position X T0))))))) (let ((_let_2 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (=> (and (tptp.organization X) (tptp.greater (tptp.age X T) (tptp.age X T0))) (tptp.greater (tptp.external_ties X T) (tptp.external_ties X T0)))))) (let ((_let_3 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.position X T0))) (let ((_let_2 (tptp.position X T))) (let ((_let_3 (tptp.external_ties X T0))) (let ((_let_4 (tptp.external_ties X T))) (=> (tptp.organization X) (and (=> (tptp.greater _let_4 _let_3) (tptp.greater _let_2 _let_1)) (=> (= _let_4 _let_3) (= _let_2 _let_1))))))))))) (let ((_let_4 (tptp.position SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (tptp.position SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (tptp.greater _let_5 _let_4))) (let ((_let_7 (tptp.external_ties SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.external_ties SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.greater _let_8 _let_7))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_6))) (let ((_let_12 (tptp.greater (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_6))) (let ((_let_17 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (or (not (tptp.organization X)) (not (tptp.greater (tptp.age X T) (tptp.age X T0))) (tptp.greater (tptp.position X T) (tptp.position X T0)))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (not _let_17))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_19) :args (_let_21))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_20)) _let_19 :args (_let_18 true _let_17)))) (let ((_let_23 (or _let_15 _let_13 _let_9))) (let ((_let_24 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (or (not (tptp.organization X)) (not (tptp.greater (tptp.age X T) (tptp.age X T0))) (tptp.greater (tptp.external_ties X T) (tptp.external_ties X T0)))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (REFL :args (_let_16)))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_20)) :args ((or _let_14 _let_16))) _let_22 :args (_let_14 true _let_16)))) (let ((_let_28 (and _let_11 (or (not (= _let_8 _let_7)) (= _let_5 _let_4))))) (let ((_let_29 (or _let_15 _let_28))) (let ((_let_30 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.position X T))) (let ((_let_2 (tptp.position X T0))) (let ((_let_3 (tptp.external_ties X T))) (let ((_let_4 (tptp.external_ties X T0))) (or (not (tptp.organization X)) (and (or (not (tptp.greater _let_3 _let_4)) (tptp.greater _let_1 _let_2)) (or (not (= _let_4 _let_3)) (= _let_2 _let_1))))))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_6 _let_10 (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 0)) :args ((or _let_11 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_15 _let_28 (not _let_29)))) _let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.greater (tptp.position X T) (tptp.position X T0))))) :args (_let_30)))) _let_31 :args (_let_29 false _let_30)) :args (_let_28 false _let_14 false _let_29)) :args (_let_11 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_15 _let_13 _let_9 (not _let_23)))) _let_27 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_20)) :args ((or _let_12 _let_16))) _let_22 :args (_let_12 true _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.greater (tptp.age X T) (tptp.age X T0)) false))))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_9 false _let_14 false _let_12 false _let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 2)) _let_22 :args ((not _let_6) true _let_16)) :args (false false _let_11 false _let_9 true _let_6)) :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 _let_1 true))))))))))))))))))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for MGT045+1
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------