TSTP Solution File: SYN070-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN070-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 02:01:16 EDT 2023

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN070-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n010.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 17:13:35 EDT 2023
% 0.21/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.fL7RddIx0u/cvc5---1.0.5_12191.p...
% 0.21/0.50  ------- get file name : TPTP file name is SYN070-1
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12191.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Unsatisfiable for SYN070-1
% 0.21/0.53  % SZS output start Proof for SYN070-1
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (tptp.big_g tptp.b))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.big_f tptp.b))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.big_f X)) (not (tptp.big_f Y)) (not (tptp.big_h X Y)) (not (tptp.big_j Y X)))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_g X) (not (tptp.big_f Y)) (tptp.big_g Y) (tptp.big_j tptp.a Y))))) (let ((_let_6 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_g X) (not (tptp.big_g tptp.a)))))) (let ((_let_7 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_g X) (tptp.big_f tptp.a))))) (let ((_let_8 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (not (tptp.big_g (tptp.f X))) (tptp.big_g X))))) (let ((_let_9 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_h (tptp.f X) X) (tptp.big_g X))))) (let ((_let_10 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_f (tptp.f X)) (tptp.big_g X))))) (let ((_let_11 (tptp.f tptp.a))) (let ((_let_12 (tptp.big_f _let_11))) (let ((_let_13 (tptp.big_g _let_11))) (let ((_let_14 (tptp.big_j tptp.a _let_11))) (let ((_let_15 (not _let_12))) (let ((_let_16 (or _let_15 _let_13 _let_14))) (let ((_let_17 (tptp.big_g tptp.a))) (let ((_let_18 (tptp.big_f tptp.a))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_12 _let_17))) (let ((_let_21 (_let_10))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_g X))))) (let ((_let_24 (not _let_3))) (let ((_let_25 (or _let_24 _let_1))) (let ((_let_26 (not _let_25))) (let ((_let_27 (_let_23))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_27) :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f X) false))))) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_1 _let_24 _let_26))) (ASSUME :args (_let_2)) (ASSUME :args (_let_3)) :args (_let_26 true _let_1 false _let_3)) :args ((not _let_23) true _let_25)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) _let_28 :args (_let_18 true _let_23)))) (let ((_let_30 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_g X))))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_23 (= X X)))) _let_28 :args ((not _let_30) true _let_23)) :args ((not _let_17) true _let_30)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_17 _let_19 _let_12 (not _let_20)))) _let_31 _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_g X) true))))) :args _let_21)) _let_22 :args (_let_20 false _let_10)) :args (_let_12 true _let_17 false _let_18 false _let_20)))) (let ((_let_33 (not _let_13))) (let ((_let_34 (or _let_19 _let_33 _let_17))) (let ((_let_35 (_let_8))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (forall ((Y $$unsorted)) (or (not (tptp.big_f Y)) (tptp.big_g Y) (tptp.big_j tptp.a Y))))) (let ((_let_38 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_g X))))) (let ((_let_39 (_let_37))) (let ((_let_40 (not _let_14))) (let ((_let_41 (tptp.big_h _let_11 tptp.a))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_15 _let_19 _let_42 _let_40))) (let ((_let_44 (_let_4))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (or _let_19 _let_41 _let_17))) (let ((_let_47 (_let_9))) (let ((_let_48 (ASSUME :args _let_47))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_13 _let_15 _let_14 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_19 _let_15 _let_42 _let_40 (not _let_43)))) _let_29 _let_32 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_17 _let_19 _let_41 (not _let_46)))) _let_31 _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f X) false))))) :args _let_47)) _let_48 :args (_let_46 false _let_9)) :args (_let_41 true _let_17 false _let_18 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_11 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_h X Y) false))))) :args _let_44)) _let_45 :args (_let_43 false _let_4)) :args (_let_40 false _let_18 false _let_12 false _let_41 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f Y) false))))) :args _let_39)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_23 (= X X)))) _let_28 :args ((not _let_38) true _let_23)) :args (_let_37 true _let_38)) :args (_let_16 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_17 _let_19 _let_33 (not _let_34)))) _let_31 _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f X) false))))) :args _let_35)) _let_36 :args (_let_34 false _let_8)) :args (_let_33 true _let_17 false _let_18 false _let_34)) _let_32 :args (false true _let_14 false _let_16 true _let_13 false _let_12)) :args (_let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.54  % SZS output end Proof for SYN070-1
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------