TSTP Solution File: COL064-9 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL064-9 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 18:23:17 EDT 2023

% Result   : Unsatisfiable 1.41s 1.67s
% Output   : Proof 1.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : COL064-9 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.18/0.35  % Computer : n028.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit   : 300
% 0.18/0.35  % WCLimit    : 300
% 0.18/0.35  % DateTime   : Sun Aug 27 05:03:08 EDT 2023
% 0.18/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.h8yV4b6vZu/cvc5---1.0.5_30949.p...
% 0.20/0.49  ------- get file name : TPTP file name is COL064-9
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30949.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.41/1.67  % SZS status Unsatisfiable for COL064-9
% 1.41/1.67  % SZS output start Proof for COL064-9
% 1.41/1.67  (
% 1.41/1.67  (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.apply tptp.b _let_3) tptp.t))) (let ((_let_5 (tptp.apply tptp.t _let_3))) (let ((_let_6 (tptp.apply (tptp.apply (tptp.apply tptp.b _let_5) _let_4) tptp.x))) (let ((_let_7 (= (tptp.apply (tptp.apply _let_6 tptp.y) tptp.z) _let_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.t X) Y) (tptp.apply Y X))))) (let ((_let_10 (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_11 (tptp.apply tptp.t tptp.x))) (let ((_let_12 (tptp.apply _let_11 tptp.z))) (let ((_let_13 (tptp.apply tptp.t tptp.y))) (let ((_let_14 (tptp.apply tptp.b _let_13))) (let ((_let_15 (= (tptp.apply (tptp.apply _let_14 _let_11) tptp.z) (tptp.apply _let_13 _let_12)))) (let ((_let_16 (_let_10))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (tptp.apply _let_3 tptp.y))) (let ((_let_19 (tptp.apply tptp.t _let_11))) (let ((_let_20 (tptp.apply _let_19 _let_18))) (let ((_let_21 (= _let_20 (tptp.apply _let_18 _let_11)))) (let ((_let_22 (tptp.apply tptp.b _let_19))) (let ((_let_23 (= (tptp.apply (tptp.apply _let_22 _let_3) tptp.y) _let_20))) (let ((_let_24 (= _let_14 _let_18))) (let ((_let_25 (tptp.apply _let_3 _let_11))) (let ((_let_26 (= _let_25 _let_22))) (let ((_let_27 (tptp.apply _let_4 tptp.x))) (let ((_let_28 (tptp.apply _let_5 _let_27))) (let ((_let_29 (= _let_28 (tptp.apply _let_27 _let_3)))) (let ((_let_30 (= _let_27 _let_25))) (let ((_let_31 (= _let_2 (tptp.apply _let_13 _let_1)))) (let ((_let_32 (= _let_1 _let_12))) (let ((_let_33 (= _let_6 _let_28))) (let ((_let_34 (not _let_15))) (let ((_let_35 (_let_9))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((tptp.apply (tptp.apply tptp.t X) Y)))) (let ((_let_38 ((tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z)))) (let ((_let_39 ((tptp.apply Y X)))) (let ((_let_40 (ASSUME :args (_let_8)))) (let ((_let_41 (and _let_8 _let_33 _let_32 _let_31 _let_30 _let_29 _let_26 _let_24 _let_23 _let_21))) (let ((_let_42 (ASSUME :args (_let_31)))) (let ((_let_43 (APPLY_UF tptp.apply))) (let ((_let_44 (ASSUME :args (_let_32)))) (let ((_let_45 (ASSUME :args (_let_33)))) (let ((_let_46 (ASSUME :args (_let_29)))) (let ((_let_47 (ASSUME :args (_let_30)))) (let ((_let_48 (ASSUME :args (_let_26)))) (let ((_let_49 (ASSUME :args (_let_23)))) (let ((_let_50 (ASSUME :args (_let_21)))) (let ((_let_51 (ASSUME :args (_let_24)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_13 _let_11 tptp.z QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_16)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_41)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_46 _let_47 _let_48 _let_49 _let_50 _let_51 _let_40 _let_42 _let_44) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (TRANS (CONG (SYMM (SYMM _let_51)) (REFL :args (_let_11)) :args _let_43) (SYMM _let_50) (SYMM _let_49) (CONG (TRANS (CONG (TRANS (SYMM _let_48) (SYMM _let_47)) (REFL :args (_let_3)) :args _let_43) (SYMM _let_46) (SYMM _let_45)) (REFL :args (tptp.y)) :args _let_43)) (REFL :args (tptp.z)) :args _let_43) (TRANS (CONG (REFL :args (_let_13)) (SYMM _let_44) :args _let_43) (SYMM _let_42)) :args (=)) (FALSE_INTRO _let_40))) :args (_let_33 _let_29 _let_30 _let_26 _let_23 _let_21 _let_24 _let_8 _let_31 _let_32))) :args (_let_8 _let_33 _let_32 _let_31 _let_30 _let_29 _let_26 _let_24 _let_23 _let_21))) :args (true _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) (REFL :args ((not _let_33))) (REFL :args ((not _let_32))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_26))) (REFL :args ((not _let_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_21))) (REFL :args (_let_34)) :args (or))) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_5 _let_4 tptp.x QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_16)) _let_17 :args (_let_33 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.x tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_35))) _let_36 :args (_let_32 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.y _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_35))) _let_36 :args (_let_31 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_3 tptp.t tptp.x QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_16)) _let_17 :args (_let_30 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_3 _let_27 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_35)) _let_36 :args (_let_29 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.b tptp.t _let_11 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_16)) _let_17 :args (_let_26 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.b tptp.t tptp.y QUANTIFIERS_INST_E_MATCHING ((tptp.apply X (tptp.apply Y Z))))) :args _let_16))) _let_17 :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_19 _let_3 tptp.y QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_16)) _let_17 :args (_let_23 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_11 _let_18 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_35)) _let_36 :args (_let_21 false _let_9)) :args (_let_34 true _let_7 false _let_33 false _let_32 false _let_31 false _let_30 false _let_29 false _let_26 false _let_24 false _let_23 false _let_21)) _let_17 :args (false true _let_15 false _let_10)) :args (_let_10 _let_9 _let_8))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.41/1.67  )
% 1.41/1.68  % SZS output end Proof for COL064-9
% 1.41/1.68  % cvc5---1.0.5 exiting
% 1.54/1.68  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------