TSTP Solution File: COL064-11 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL064-11 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 : Wed Aug 30 18:23:15 EDT 2023

% Result   : Unsatisfiable 5.16s 5.37s
% Output   : Proof 5.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COL064-11 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n003.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   : Sun Aug 27 05:12:24 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.RBkpgAN51W/cvc5---1.0.5_5165.p...
% 0.20/0.49  ------- get file name : TPTP file name is COL064-11
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5165.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.16/5.37  % SZS status Unsatisfiable for COL064-11
% 5.16/5.37  % SZS output start Proof for COL064-11
% 5.16/5.37  (
% 5.16/5.37  (let ((_let_1 (tptp.apply tptp.z tptp.x))) (let ((_let_2 (tptp.apply _let_1 tptp.y))) (let ((_let_3 (tptp.apply (tptp.apply tptp.b tptp.b) tptp.t))) (let ((_let_4 (tptp.apply tptp.t _let_3))) (let ((_let_5 (tptp.apply (tptp.apply tptp.b _let_4) tptp.b))) (let ((_let_6 (tptp.apply (tptp.apply tptp.b _let_5) tptp.t))) (let ((_let_7 (tptp.apply (tptp.apply (tptp.apply tptp.b _let_6) tptp.t) tptp.x))) (let ((_let_8 (= (tptp.apply (tptp.apply _let_7 tptp.y) tptp.z) _let_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.t X) Y) (tptp.apply Y X))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z) (tptp.apply X (tptp.apply Y Z)))))) (let ((_let_12 (tptp.apply tptp.t tptp.x))) (let ((_let_13 (tptp.apply _let_12 tptp.z))) (let ((_let_14 (tptp.apply tptp.t tptp.y))) (let ((_let_15 (tptp.apply tptp.b _let_14))) (let ((_let_16 (= (tptp.apply (tptp.apply _let_15 _let_12) tptp.z) (tptp.apply _let_14 _let_13)))) (let ((_let_17 (_let_11))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (tptp.apply _let_3 tptp.y))) (let ((_let_20 (tptp.apply tptp.t _let_12))) (let ((_let_21 (tptp.apply _let_20 _let_19))) (let ((_let_22 (= _let_21 (tptp.apply _let_19 _let_12)))) (let ((_let_23 (tptp.apply tptp.b _let_20))) (let ((_let_24 (tptp.apply _let_23 _let_3))) (let ((_let_25 (= (tptp.apply _let_24 tptp.y) _let_21))) (let ((_let_26 (tptp.apply _let_4 _let_23))) (let ((_let_27 (= _let_26 _let_24))) (let ((_let_28 (= _let_15 _let_19))) (let ((_let_29 (tptp.apply _let_5 _let_20))) (let ((_let_30 (= _let_29 _let_26))) (let ((_let_31 (tptp.apply _let_6 _let_12))) (let ((_let_32 (= _let_31 _let_29))) (let ((_let_33 (= _let_2 (tptp.apply _let_14 _let_1)))) (let ((_let_34 (= _let_1 _let_13))) (let ((_let_35 (= _let_7 _let_31))) (let ((_let_36 (not _let_16))) (let ((_let_37 (_let_10))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((tptp.apply (tptp.apply tptp.t X) Y)))) (let ((_let_40 ((tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z)))) (let ((_let_41 ((tptp.apply Y X)))) (let ((_let_42 (ASSUME :args (_let_9)))) (let ((_let_43 (and _let_9 _let_35 _let_34 _let_33 _let_32 _let_30 _let_28 _let_27 _let_25 _let_22))) (let ((_let_44 (ASSUME :args (_let_33)))) (let ((_let_45 (APPLY_UF tptp.apply))) (let ((_let_46 (ASSUME :args (_let_34)))) (let ((_let_47 (ASSUME :args (_let_35)))) (let ((_let_48 (ASSUME :args (_let_32)))) (let ((_let_49 (ASSUME :args (_let_30)))) (let ((_let_50 (ASSUME :args (_let_27)))) (let ((_let_51 (ASSUME :args (_let_25)))) (let ((_let_52 (ASSUME :args (_let_22)))) (let ((_let_53 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_14 _let_12 tptp.z QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_17)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_43)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_47 _let_48 _let_49 _let_50 _let_51 _let_52 _let_53 _let_42 _let_44 _let_46) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (TRANS (CONG (SYMM (SYMM _let_53)) (REFL :args (_let_12)) :args _let_45) (SYMM _let_52) (SYMM _let_51) (CONG (TRANS (SYMM _let_50) (SYMM _let_49) (SYMM _let_48) (SYMM _let_47)) (REFL :args (tptp.y)) :args _let_45)) (REFL :args (tptp.z)) :args _let_45) (TRANS (CONG (REFL :args (_let_14)) (SYMM _let_46) :args _let_45) (SYMM _let_44)) :args (=)) (FALSE_INTRO _let_42))) :args (_let_35 _let_32 _let_30 _let_27 _let_25 _let_22 _let_28 _let_9 _let_33 _let_34))) :args (_let_9 _let_35 _let_34 _let_33 _let_32 _let_30 _let_28 _let_27 _let_25 _let_22))) :args (true _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) (REFL :args ((not _let_35))) (REFL :args ((not _let_34))) (REFL :args ((not _let_33))) (REFL :args ((not _let_32))) (REFL :args ((not _let_30))) (REFL :args ((not _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_25))) (REFL :args ((not _let_22))) (REFL :args (_let_36)) :args (or))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_6 tptp.t tptp.x QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_17)) _let_18 :args (_let_35 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.x tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_37))) _let_38 :args (_let_34 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.y _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_37))) _let_38 :args (_let_33 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_5 tptp.t _let_12 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_17)) _let_18 :args (_let_32 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_4 tptp.b _let_20 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_17)) _let_18 :args (_let_30 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.b tptp.t tptp.y QUANTIFIERS_INST_E_MATCHING ((tptp.apply X (tptp.apply Y Z))))) :args _let_17))) _let_18 :args (_let_28 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_3 _let_23 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_27 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_20 _let_3 tptp.y QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_17)) _let_18 :args (_let_25 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_12 _let_19 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_22 false _let_10)) :args (_let_36 true _let_8 false _let_35 false _let_34 false _let_33 false _let_32 false _let_30 false _let_28 false _let_27 false _let_25 false _let_22)) _let_18 :args (false true _let_16 false _let_11)) :args (_let_11 _let_10 _let_9))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 5.16/5.37  )
% 5.16/5.38  % SZS output end Proof for COL064-11
% 5.16/5.39  % cvc5---1.0.5 exiting
% 5.16/5.39  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------