TSTP Solution File: SYN075-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN075-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Fri Sep  1 02:01:19 EDT 2023

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN075-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 20:47:54 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1Cauqa8M6G/cvc5---1.0.5_14716.p...
% 0.20/0.50  ------- get file name : TPTP file name is SYN075-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14716.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Unsatisfiable for SYN075-1
% 0.20/0.53  % SZS output start Proof for SYN075-1
% 0.20/0.54  (
% 0.20/0.54  (let ((_let_1 (forall ((X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.f X))) (let ((_let_2 (tptp.h X Z))) (or (not (= _let_1 X)) (not (= _let_2 Z)) (not (tptp.big_f _let_2 _let_1)))))))) (let ((_let_2 (forall ((X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.h X Z))) (let ((_let_2 (tptp.f X))) (or (not (= _let_2 X)) (tptp.big_f _let_1 _let_2) (= _let_1 Z))))))) (let ((_let_3 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.f X))) (let ((_let_2 (tptp.h X Z))) (or (not (= Y (tptp.g X))) (tptp.big_f Y _let_1) (not (= _let_2 Z)) (not (tptp.big_f _let_2 _let_1)))))))) (let ((_let_4 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.h X Z))) (let ((_let_2 (tptp.f X))) (or (not (= Y (tptp.g X))) (tptp.big_f Y _let_2) (tptp.big_f _let_1 _let_2) (= _let_1 Z))))))) (let ((_let_5 (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.f X))) (or (not (= Y (tptp.g X))) (tptp.big_f Y _let_1) (= _let_1 X)))))) (let ((_let_6 (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.f X))) (or (not (tptp.big_f Y _let_1)) (not (= Y (tptp.g X))) (= _let_1 X)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X tptp.a)) (not (= Y tptp.b)) (tptp.big_f X Y))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.big_f X Y)) (= X tptp.a))))) (let ((_let_9 (tptp.h tptp.b tptp.a))) (let ((_let_10 (= tptp.a _let_9))) (let ((_let_11 (tptp.f tptp.b))) (let ((_let_12 (tptp.big_f _let_9 _let_11))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_10))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.big_f X Y)) (= tptp.a X))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_9 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f X Y) false))))) :args (_let_15))) _let_16 :args (_let_14 false _let_15)))) (let ((_let_18 (= tptp.b _let_11))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_12 _let_10))) (let ((_let_21 (tptp.big_f tptp.a tptp.b))) (let ((_let_22 (tptp.big_f (tptp.g tptp.b) _let_11))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_18))) (let ((_let_25 (forall ((X $$unsorted)) (let ((_let_1 (tptp.f X))) (or (not (tptp.big_f (tptp.g X) _let_1)) (= X _let_1)))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_28 (or _let_22 _let_18))) (let ((_let_29 (not _let_10))) (let ((_let_30 (or _let_22 _let_29 _let_13))) (let ((_let_31 (forall ((X $$unsorted)) (let ((_let_1 (tptp.f X))) (or (tptp.big_f (tptp.g X) _let_1) (= X _let_1)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or _let_22 _let_12 _let_10))) (let ((_let_34 (forall ((X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.h X Z))) (let ((_let_2 (tptp.f X))) (or (tptp.big_f (tptp.g X) _let_2) (tptp.big_f _let_1 _let_2) (= Z _let_1))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (tptp.b tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_37 (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_10 _let_13 (not _let_14)))))) (let ((_let_38 (forall ((X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.f X))) (let ((_let_2 (tptp.h X Z))) (or (tptp.big_f (tptp.g X) _let_1) (not (= Z _let_2)) (not (tptp.big_f _let_2 _let_1)))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (and _let_21 _let_18 _let_10))) (let ((_let_42 (ASSUME :args (_let_18)))) (let ((_let_43 (ASSUME :args (_let_10)))) (let ((_let_44 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_41)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_40 _let_43 _let_42) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_43) (SYMM _let_42) :args (APPLY_UF tptp.big_f)) (TRUE_INTRO _let_40))) :args (_let_21 _let_10 _let_18))) :args (_let_21 _let_18 _let_10))) :args (true _let_41)) :args ((or (not _let_21) _let_19 _let_12 _let_29))))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_18 (not _let_24)))) (MACRO_RESOLUTION_TRUST _let_44 _let_40 (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_22 _let_29 _let_13 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_36) :args (_let_38))) _let_39 :args (_let_30 false _let_38)) (MACRO_RESOLUTION_TRUST _let_37 _let_17 (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_22 _let_12 _let_10 (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args _let_36) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args ((or _let_22 _let_10) false _let_14 false _let_12 false _let_33)) (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_22 _let_18 (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args _let_27) :args (_let_31))) _let_32 :args (_let_28 false _let_31)) :args (_let_22 false _let_21 true _let_12 false _let_30 false _let_10 false _let_18 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args _let_27) :args (_let_25))) _let_26 :args (_let_24 false _let_25)) :args (_let_18 false _let_22 false _let_24)))) (let ((_let_46 (forall ((X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.h X Z))) (let ((_let_2 (tptp.f X))) (or (not (= X _let_2)) (tptp.big_f _let_1 _let_2) (= Z _let_1))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (MACRO_RESOLUTION_TRUST _let_44 _let_45 _let_40 (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_12 _let_10 (not _let_20)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_36) :args (_let_46))) _let_47 :args (_let_20 false _let_46)) _let_45 :args (_let_12 false _let_18 false _let_21 false _let_10 false _let_20 false _let_18)))) (let ((_let_49 (or _let_19 _let_29 _let_13))) (let ((_let_50 (forall ((X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.f X))) (let ((_let_2 (tptp.h X Z))) (or (not (= X _let_1)) (not (= Z _let_2)) (not (tptp.big_f _let_2 _let_1)))))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_19 _let_29 _let_13 (not _let_49)))) _let_45 _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args _let_36) :args (_let_50))) _let_51 :args (_let_49 false _let_50)) :args (_let_29 false _let_18 false _let_12 false _let_49)) _let_48 _let_17 :args (false true _let_10 false _let_12 false _let_14)) :args (_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.big_f X Y)) (= Y tptp.b))) _let_7 _let_6 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.f X))) (let ((_let_2 (tptp.big_f (tptp.h X Z) _let_1))) (or (not (tptp.big_f Y _let_1)) (= Y (tptp.g X)) _let_2 (not _let_2))))) _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54  )
% 0.20/0.54  % SZS output end Proof for SYN075-1
% 0.20/0.54  % cvc5---1.0.5 exiting
% 0.20/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------