TSTP Solution File: LAT269-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT269-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 06:03:28 EDT 2023
% Result : Unsatisfiable 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT269-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 10:12:16 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ApJx26GXoC/cvc5---1.0.5_11906.p...
% 0.21/0.52 ------- get file name : TPTP file name is LAT269-2
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11906.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Unsatisfiable for LAT269-2
% 0.21/0.54 % SZS output start Proof for LAT269-2
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (forall ((V_x $$unsorted)) (or (not (tptp.c_in V_x tptp.v_A tptp.t_a)) (not (= (tptp.c_Tarski_Ointerval tptp.v_r V_x (tptp.c_Tarski_OTop tptp.v_cl tptp.t_a) tptp.t_a) tptp.c_emptyset)))))) (let ((_let_2 (tptp.c_Tarski_Olub tptp.v_Y tptp.v_cl tptp.t_a))) (let ((_let_3 (tptp.c_in _let_2 tptp.v_A tptp.t_a))) (let ((_let_4 (tptp.c_Tarski_OTop tptp.v_cl tptp.t_a))) (let ((_let_5 (tptp.c_Tarski_Ointerval tptp.v_r _let_2 _let_4 tptp.t_a))) (let ((_let_6 (= tptp.v_intY1 _let_5))) (let ((_let_7 (forall ((V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Tarski_Ointerval tptp.v_r V_a V_b tptp.t_a))) (or (not (tptp.c_in V_b tptp.v_A tptp.t_a)) (not (tptp.c_in V_a tptp.v_A tptp.t_a)) (tptp.c_in (tptp.c_Tarski_Opotype_Opotype__ext _let_1 (tptp.c_Tarski_Oinduced _let_1 tptp.v_r tptp.t_a) tptp.c_Product__Type_OUnity tptp.t_a tptp.tc_Product__Type_Ounit) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit)) (= _let_1 tptp.c_emptyset)))))) (let ((_let_8 (tptp.c_in _let_4 tptp.v_A tptp.t_a))) (let ((_let_9 (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_10 (tptp.c_in (tptp.c_Tarski_Opotype_Opotype__ext tptp.v_intY1 (tptp.c_Tarski_Oinduced tptp.v_intY1 tptp.v_r tptp.t_a) tptp.c_Product__Type_OUnity tptp.t_a tptp.tc_Product__Type_Ounit) tptp.c_Tarski_OCompleteLattice _let_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (= tptp.c_emptyset _let_5))) (let ((_let_13 (not _let_12))) (let ((_let_14 (not _let_3))) (let ((_let_15 (or _let_14 _let_13))) (let ((_let_16 (ASSUME :args (_let_3)))) (let ((_let_17 (forall ((V_x $$unsorted)) (or (not (tptp.c_in V_x tptp.v_A tptp.t_a)) (not (= tptp.c_emptyset (tptp.c_Tarski_Ointerval tptp.v_r V_x (tptp.c_Tarski_OTop tptp.v_cl tptp.t_a) tptp.t_a))))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (tptp.c_in (tptp.c_Tarski_Opotype_Opotype__ext _let_5 (tptp.c_Tarski_Oinduced _let_5 tptp.v_r tptp.t_a) tptp.c_Product__Type_OUnity tptp.t_a tptp.tc_Product__Type_Ounit) tptp.c_Tarski_OCompleteLattice _let_9))) (let ((_let_20 (not _let_8))) (let ((_let_21 (or _let_20 _let_14 _let_19 _let_12))) (let ((_let_22 (forall ((V_b $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.c_Tarski_Ointerval tptp.v_r V_a V_b tptp.t_a))) (or (not (tptp.c_in V_b tptp.v_A tptp.t_a)) (not (tptp.c_in V_a tptp.v_A tptp.t_a)) (tptp.c_in (tptp.c_Tarski_Opotype_Opotype__ext _let_1 (tptp.c_Tarski_Oinduced _let_1 tptp.v_r tptp.t_a) tptp.c_Product__Type_OUnity tptp.t_a tptp.tc_Product__Type_Ounit) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit)) (= tptp.c_emptyset _let_1)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (not _let_19))) (let ((_let_25 (ASSUME :args (_let_6)))) (let ((_let_26 (ASSUME :args (_let_11)))) (let ((_let_27 (and _let_11 _let_6))) (let ((_let_28 (_let_11 _let_6))) (let ((_let_29 (REFL :args (tptp.t_a)))) (let ((_let_30 (SYMM _let_25))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_14 _let_19 _let_12 (not _let_21)))) (ASSUME :args (_let_8)) _let_16 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_27)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_26 _let_25) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG _let_30 (CONG _let_30 (REFL :args (tptp.v_r)) _let_29 :args (APPLY_UF tptp.c_Tarski_Oinduced)) (REFL :args (tptp.c_Product__Type_OUnity)) _let_29 (REFL :args (tptp.tc_Product__Type_Ounit)) :args (APPLY_UF tptp.c_Tarski_Opotype_Opotype__ext)) (REFL :args (tptp.c_Tarski_OCompleteLattice)) (REFL :args (_let_9)) :args (APPLY_UF tptp.c_in)) (FALSE_INTRO _let_26))) :args _let_28)) :args _let_28)) :args (true _let_27)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) (REFL :args ((not _let_6))) (REFL :args (_let_24)) :args (or))) _let_26 _let_25 :args (_let_24 true _let_10 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_4 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_Tarski_Ointerval tptp.v_r V_a V_b tptp.t_a) tptp.c_emptyset))))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_12 false _let_8 false _let_3 true _let_19 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_x tptp.v_A tptp.t_a) false))))) :args (_let_17))) _let_18 :args (_let_15 false _let_17)) _let_16 :args (false false _let_12 false _let_15 false _let_3)) :args (_let_11 _let_8 _let_7 _let_6 _let_3 _let_1)))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for LAT269-2
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------