TSTP Solution File: COL042-7 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL042-7 : TPTP v8.1.2. Released v2.1.0.
% 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 18:23:06 EDT 2023

% Result   : Unsatisfiable 0.21s 0.64s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : COL042-7 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun Aug 27 04:45:54 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CtvWQMgtzs/cvc5---1.0.5_4113.p...
% 0.21/0.51  ------- get file name : TPTP file name is COL042-7
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4113.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.64  % SZS status Unsatisfiable for COL042-7
% 0.21/0.64  % SZS output start Proof for COL042-7
% 0.21/0.64  (
% 0.21/0.64  (let ((_let_1 (tptp.apply tptp.strong_fixed_point tptp.fixed_pt))) (let ((_let_2 (= _let_1 (tptp.apply tptp.fixed_pt _let_1)))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b))) (let ((_let_5 (tptp.apply tptp.b tptp.w1))) (let ((_let_6 (tptp.apply tptp.w1 tptp.w1))) (let ((_let_7 (tptp.apply (tptp.apply tptp.b _let_6) _let_5))) (let ((_let_8 (tptp.apply (tptp.apply tptp.b _let_7) _let_4))) (let ((_let_9 (= tptp.strong_fixed_point _let_8))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.w1 X) Y) (tptp.apply (tptp.apply Y X) 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 _let_4 tptp.fixed_pt))) (let ((_let_13 (tptp.apply _let_7 _let_12))) (let ((_let_14 (= (tptp.apply _let_8 tptp.fixed_pt) _let_13))) (let ((_let_15 (tptp.apply tptp.b tptp.fixed_pt))) (let ((_let_16 (tptp.apply tptp.b _let_15))) (let ((_let_17 (= _let_12 _let_16))) (let ((_let_18 (tptp.apply _let_5 _let_12))) (let ((_let_19 (tptp.apply _let_6 _let_18))) (let ((_let_20 (= _let_13 _let_19))) (let ((_let_21 (tptp.apply _let_18 tptp.w1))) (let ((_let_22 (= _let_19 (tptp.apply _let_21 tptp.w1)))) (let ((_let_23 (tptp.apply _let_12 tptp.w1))) (let ((_let_24 (tptp.apply tptp.w1 _let_23))) (let ((_let_25 (= _let_21 _let_24))) (let ((_let_26 (tptp.apply _let_24 _let_23))) (let ((_let_27 (= (tptp.apply _let_24 tptp.w1) _let_26))) (let ((_let_28 (tptp.apply _let_15 _let_24))) (let ((_let_29 (= (tptp.apply _let_28 _let_23) (tptp.apply tptp.fixed_pt _let_26)))) (let ((_let_30 (= _let_28 (tptp.apply (tptp.apply _let_16 tptp.w1) _let_23)))) (let ((_let_31 (= _let_26 (tptp.apply (tptp.apply _let_23 _let_23) _let_23)))) (let ((_let_32 (ASSUME :args (_let_9)))) (let ((_let_33 (ASSUME :args (_let_3)))) (let ((_let_34 (_let_11))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 ((tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z)))) (let ((_let_37 (_let_10))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((tptp.apply (tptp.apply tptp.w1 X) Y)))) (let ((_let_40 ((tptp.apply X (tptp.apply Y Z))))) (let ((_let_41 (not _let_31))) (let ((_let_42 (not _let_30))) (let ((_let_43 (not _let_29))) (let ((_let_44 (not _let_27))) (let ((_let_45 (not _let_25))) (let ((_let_46 (not _let_22))) (let ((_let_47 (not _let_20))) (let ((_let_48 (not _let_17))) (let ((_let_49 (not _let_14))) (let ((_let_50 (not _let_9))) (let ((_let_51 (and _let_9 _let_3 _let_14 _let_17 _let_20 _let_22 _let_25 _let_27 _let_29 _let_30))) (let ((_let_52 (APPLY_UF tptp.apply))) (let ((_let_53 (REFL :args (tptp.fixed_pt)))) (let ((_let_54 (CONG (SYMM _let_32) _let_53 :args _let_52))) (let ((_let_55 (ASSUME :args (_let_14)))) (let ((_let_56 (SYMM _let_55))) (let ((_let_57 (ASSUME :args (_let_20)))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (ASSUME :args (_let_22)))) (let ((_let_60 (SYMM _let_59))) (let ((_let_61 (REFL :args (tptp.w1)))) (let ((_let_62 (ASSUME :args (_let_25)))) (let ((_let_63 (CONG (SYMM _let_62) _let_61 :args _let_52))) (let ((_let_64 (ASSUME :args (_let_27)))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (ASSUME :args (_let_29)))) (let ((_let_67 (REFL :args (_let_23)))) (let ((_let_68 (CONG (REFL :args (_let_15)) _let_62 :args _let_52))) (let ((_let_69 (ASSUME :args (_let_30)))) (let ((_let_70 (ASSUME :args (_let_17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_51)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_33 _let_32 _let_55 _let_57 _let_59 _let_62 _let_64 _let_66 _let_69 _let_70) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_65 _let_63 _let_60 _let_58 _let_56 _let_54) (TRANS (CONG (TRANS (TRANS (CONG (CONG (SYMM (SYMM _let_70)) _let_61 :args _let_52) _let_67 :args _let_52) (SYMM _let_69) (SYMM _let_68)) _let_68) _let_67 :args _let_52) (SYMM (SYMM _let_66)) (CONG _let_53 (TRANS _let_65 _let_63 _let_60 _let_58) :args _let_52) (CONG _let_53 (TRANS _let_56 _let_54) :args _let_52)) :args (=)) (FALSE_INTRO _let_33))) :args (_let_3 _let_9 _let_14 _let_20 _let_22 _let_25 _let_27 _let_29 _let_30 _let_17))) :args (_let_9 _let_3 _let_14 _let_17 _let_20 _let_22 _let_25 _let_27 _let_29 _let_30))) :args (true _let_51)) (CONG (REFL :args (_let_50)) (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args (_let_49)) (REFL :args (_let_48)) (REFL :args (_let_47)) (REFL :args (_let_46)) (REFL :args (_let_45)) (REFL :args (_let_44)) (REFL :args (_let_43)) (REFL :args (_let_42)) (REFL :args (_let_41)) :args (or))) :args ((or _let_2 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_23 _let_23 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_31 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_15 tptp.w1 _let_23 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_34))) _let_35 :args (_let_30 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.fixed_pt _let_24 _let_23 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_34)) _let_35 :args (_let_29 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_23 tptp.w1 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_35 :args (tptp.w1 _let_12 tptp.w1 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_25 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.w1 _let_18 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_22 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_6 _let_5 _let_12 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_20 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.b tptp.b tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_17 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_7 _let_4 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_14 false _let_11)) _let_33 _let_32 :args (false false _let_31 false _let_30 false _let_29 false _let_27 false _let_25 false _let_22 false _let_20 false _let_17 false _let_14 true _let_2 false _let_9)) :args (_let_11 _let_10 _let_9 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.64  )
% 0.21/0.64  % SZS output end Proof for COL042-7
% 0.21/0.64  % cvc5---1.0.5 exiting
% 0.21/0.64  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------