TSTP Solution File: LAT263-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT263-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 : Thu Aug 31 06:03:25 EDT 2023

% Result   : Unsatisfiable 0.22s 0.55s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem    : LAT263-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.16  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n009.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Thu Aug 24 05:41:21 EDT 2023
% 0.22/0.38  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kmEGQu9uuf/cvc5---1.0.5_3052.p...
% 0.22/0.53  ------- get file name : TPTP file name is LAT263-2
% 0.22/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3052.smt2...
% 0.22/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55  % SZS status Unsatisfiable for LAT263-2
% 0.22/0.55  % SZS output start Proof for LAT263-2
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))))) (let ((_let_2 (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a))))) (let ((_let_3 (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_4 (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a))) (let ((_let_5 (tptp.c_in _let_4 tptp.c_Tarski_OPartialOrder _let_3))) (let ((_let_6 (tptp.c_in _let_4 tptp.c_Tarski_OCompleteLattice _let_3))) (let ((_let_7 (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (let ((_let_1 (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (let ((_let_2 (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice _let_2)) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder _let_2)) (not (tptp.c_lessequals V_S _let_1 (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) _let_1 T_a))))))) (let ((_let_8 (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_9 (= tptp.v_A _let_8))) (let ((_let_10 (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a))) (let ((_let_11 (tptp.c_in _let_10 tptp.v_A tptp.t_a))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.tc_set tptp.t_a))) (let ((_let_14 (tptp.c_lessequals tptp.v_S tptp.v_A _let_13))) (let ((_let_15 (tptp.c_Tarski_Opotype_Opset _let_4 tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_16 (tptp.c_Tarski_Olub tptp.v_S _let_4 tptp.t_a))) (let ((_let_17 (tptp.c_in _let_16 _let_15 tptp.t_a))) (let ((_let_18 (tptp.c_lessequals tptp.v_S _let_15 _let_13))) (let ((_let_19 (not _let_18))) (let ((_let_20 (not _let_5))) (let ((_let_21 (not _let_6))) (let ((_let_22 (or _let_21 _let_20 _let_19 _let_17))) (let ((_let_23 (_let_7))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (= _let_8 _let_15))) (let ((_let_26 (= _let_10 _let_16))) (let ((_let_27 (not _let_17))) (let ((_let_28 (_let_1))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.v_cl tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Tarski_Odual V_cl T_a)))) :args _let_28))) _let_29 :args (_let_25 false _let_1)))) (let ((_let_31 (_let_2))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (ASSUME :args (_let_9)))) (let ((_let_34 (ASSUME :args (_let_12)))) (let ((_let_35 (and _let_12 _let_9 _let_26 _let_25))) (let ((_let_36 (ASSUME :args (_let_25)))) (let ((_let_37 (TRANS (SYMM _let_36) (SYMM _let_33)))) (let ((_let_38 (ASSUME :args (_let_26)))) (let ((_let_39 (ASSUME :args (_let_14)))) (let ((_let_40 (and _let_14 _let_9 _let_25))) (let ((_let_41 (_let_14 _let_9 _let_25))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_20 _let_19 _let_17 (not _let_22)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_40)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_33 _let_36) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.v_S)) _let_37 (REFL :args (_let_13)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_39))) :args _let_41)) :args _let_41)) :args (true _let_40)) _let_39 _let_33 _let_30 :args (_let_18 false _let_14 false _let_9 false _let_25)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_35)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_34 _let_38 _let_33 _let_36) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_38) _let_37 (REFL :args (tptp.t_a)) :args (APPLY_UF tptp.c_in)) (FALSE_INTRO _let_34))) :args (_let_12 _let_26 _let_9 _let_25))) :args (_let_12 _let_9 _let_26 _let_25))) :args (true _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) (REFL :args ((not _let_9))) (REFL :args ((not _let_26))) (REFL :args ((not _let_25))) (REFL :args (_let_27)) :args (or))) _let_34 _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.v_S tptp.v_cl tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Tarski_Oglb V_S V_cl T_a)))) :args _let_31)) _let_32 :args (_let_26 false _let_2)) _let_30 :args (_let_27 true _let_11 false _let_9 false _let_26 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_4 tptp.t_a tptp.v_S QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a)) false))))) :args _let_23)) _let_24 :args (_let_22 false _let_7)) (ASSUME :args (_let_5)) (ASSUME :args (_let_6)) :args (false false _let_18 true _let_17 false _let_22 false _let_5 false _let_6)) :args (_let_14 _let_12 _let_9 _let_7 _let_6 _let_5 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55  )
% 0.22/0.55  % SZS output end Proof for LAT263-2
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------