TSTP Solution File: LDA007-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LDA007-2 : TPTP v8.1.2. Bugfixed v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 09:03:11 EDT 2023

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LDA007-2 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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   : Sun Aug 27 01:37:38 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mUFP3eo0Qt/cvc5---1.0.5_29690.p...
% 0.20/0.49  ------- get file name : TPTP file name is LDA007-2
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29690.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Unsatisfiable for LDA007-2
% 0.20/0.52  % SZS output start Proof for LDA007-2
% 0.20/0.52  (
% 0.20/0.52  (let ((_let_1 (= (tptp.f tptp.t tptp.tsk) (tptp.f tptp.tt_ts tptp.tk)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.f tptp.ts tptp.k))) (let ((_let_4 (= tptp.tsk _let_3))) (let ((_let_5 (tptp.f tptp.t tptp.k))) (let ((_let_6 (= tptp.tk _let_5))) (let ((_let_7 (= tptp.tt_ts (tptp.f tptp.tt tptp.ts)))) (let ((_let_8 (tptp.f tptp.t tptp.s))) (let ((_let_9 (= tptp.ts _let_8))) (let ((_let_10 (tptp.f tptp.t tptp.t))) (let ((_let_11 (= tptp.tt _let_10))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) (tptp.f X Z)))))) (let ((_let_13 (= (tptp.f tptp.t _let_8) (tptp.f _let_10 _let_8)))) (let ((_let_14 (= (tptp.f tptp.t _let_3) (tptp.f (tptp.f tptp.t tptp.ts) _let_5)))) (let ((_let_15 (ASSUME :args (_let_11)))) (let ((_let_16 (ASSUME :args (_let_9)))) (let ((_let_17 (ASSUME :args (_let_7)))) (let ((_let_18 (ASSUME :args (_let_6)))) (let ((_let_19 (ASSUME :args (_let_4)))) (let ((_let_20 (ASSUME :args (_let_2)))) (let ((_let_21 (_let_12))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (not _let_14))) (let ((_let_24 (not _let_13))) (let ((_let_25 (not _let_4))) (let ((_let_26 (not _let_6))) (let ((_let_27 (not _let_7))) (let ((_let_28 (not _let_9))) (let ((_let_29 (not _let_11))) (let ((_let_30 (and _let_11 _let_9 _let_7 _let_6 _let_4 _let_2 _let_13))) (let ((_let_31 (APPLY_UF tptp.f))) (let ((_let_32 (ASSUME :args (_let_13)))) (let ((_let_33 (REFL :args (tptp.t)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_30)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_20 _let_19 _let_17 _let_15 _let_16 _let_32 _let_18) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG _let_33 (SYMM _let_19) :args _let_31) (CONG (TRANS (CONG _let_33 _let_16 :args _let_31) (SYMM (SYMM _let_32)) (CONG (SYMM _let_15) (SYMM _let_16) :args _let_31) (SYMM _let_17)) (SYMM _let_18) :args _let_31) :args (=)) (FALSE_INTRO _let_20))) :args (_let_2 _let_4 _let_7 _let_11 _let_9 _let_13 _let_6))) :args (_let_11 _let_9 _let_7 _let_6 _let_4 _let_2 _let_13))) :args (true _let_30)) (CONG (REFL :args (_let_29)) (REFL :args (_let_28)) (REFL :args (_let_27)) (REFL :args (_let_26)) (REFL :args (_let_25)) (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_24)) (REFL :args (_let_23)) :args (or))) :args ((or _let_1 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.t tptp.ts tptp.k QUANTIFIERS_INST_E_MATCHING ((tptp.f X (tptp.f Y Z))))) :args _let_21)) _let_22 :args (_let_14 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.t tptp.t tptp.s QUANTIFIERS_INST_E_MATCHING ((tptp.f (tptp.f X Y) (tptp.f X Z))))) :args _let_21)) _let_22 :args (_let_13 false _let_12)) _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 :args (false false _let_14 false _let_13 true _let_1 false _let_4 false _let_6 false _let_7 false _let_9 false _let_11)) :args (_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.a X (tptp.a Y Z)) (tptp.a (tptp.f X Y) (tptp.a X Z)))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.critical_point (tptp.f U V)) (tptp.a U (tptp.critical_point V)))) (forall ((X $$unsorted)) (not (tptp.less X X))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (or (not (tptp.less X Y)) (tptp.less (tptp.a U X) (tptp.a U Y)))) (forall ((X $$unsorted) (U $$unsorted)) (let ((_let_1 (tptp.a U X))) (or (= X _let_1) (tptp.less X _let_1)))) (forall ((X $$unsorted) (U $$unsorted)) (or (not (tptp.less X (tptp.critical_point U))) (= (tptp.a U X) X))) (forall ((X $$unsorted) (U $$unsorted)) (or (tptp.less X (tptp.critical_point U)) (tptp.less X (tptp.a U X)))) (forall ((U $$unsorted) (X $$unsorted) (V $$unsorted)) (or (not (= (tptp.a U X) X)) (= (tptp.a (tptp.f V U) X) X))) _let_11 (= tptp.st (tptp.f tptp.s tptp.t)) _let_9 _let_7 (= tptp.k (tptp.critical_point tptp.t)) (= tptp.sk (tptp.f tptp.s tptp.k)) _let_6 (= tptp.stk (tptp.f tptp.st tptp.k)) _let_4 (= tptp.ttk (tptp.f tptp.tt tptp.k)) _let_2))))))))))))))))))))))))))))))))))))
% 0.20/0.52  )
% 0.20/0.52  % SZS output end Proof for LDA007-2
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------