TSTP Solution File: SEV288^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV288^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 19:22:06 EDT 2023
% Result : Theorem 0.22s 0.64s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV288^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n007.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 : Thu Aug 24 02:00:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.49 %----Proving TH0
% 0.22/0.64 %------------------------------------------------------------------------------
% 0.22/0.64 % File : SEV288^5 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.64 % Domain : Set Theory
% 0.22/0.64 % Problem : TPS problem from TTTP-NATS-THMS
% 0.22/0.64 % Version : Especial.
% 0.22/0.64 % English :
% 0.22/0.64
% 0.22/0.64 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.64 % Source : [Bro09]
% 0.22/0.64 % Names : tps_0102 [Bro09]
% 0.22/0.64
% 0.22/0.64 % Status : Theorem
% 0.22/0.64 % Rating : 0.38 v8.1.0, 0.36 v7.5.0, 0.29 v7.4.0, 0.00 v6.2.0, 0.29 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.40 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 0.22/0.64 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.22/0.64 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.22/0.64 % Maximal formula atoms : 1 ( 2 avg)
% 0.22/0.64 % Number of connectives : 3 ( 0 ~; 0 |; 0 &; 2 @)
% 0.22/0.64 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.22/0.64 % Maximal formula depth : 1 ( 1 avg)
% 0.22/0.64 % Number of types : 2 ( 1 usr)
% 0.22/0.64 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.22/0.64 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.22/0.64 % Number of variables : 5 ( 4 ^; 1 !; 0 ?; 5 :)
% 0.22/0.64 % SPC : TH0_THM_EQU_NAR
% 0.22/0.64
% 0.22/0.64 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.64 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.64 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.64 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.64 %------------------------------------------------------------------------------
% 0.22/0.64 thf(a_type,type,
% 0.22/0.64 a: $tType ).
% 0.22/0.64
% 0.22/0.64 thf(cE1_eq__pme,conjecture,
% 0.22/0.64 ( ( ^ [X: a,Y: a] :
% 0.22/0.64 ! [Xq: a > $o] :
% 0.22/0.64 ( ( Xq @ X )
% 0.22/0.64 => ( Xq @ Y ) ) )
% 0.22/0.64 = ( ^ [X: a,Y: a] : ( X = Y ) ) ) ).
% 0.22/0.64
% 0.22/0.64 %------------------------------------------------------------------------------
% 0.22/0.64 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.PGcy7RjUEZ/cvc5---1.0.5_23418.p...
% 0.22/0.64 (declare-sort $$unsorted 0)
% 0.22/0.64 (declare-sort tptp.a 0)
% 0.22/0.64 (assert (not (= (lambda ((X tptp.a) (Y tptp.a)) (forall ((Xq (-> tptp.a Bool))) (=> (@ Xq X) (@ Xq Y)))) (lambda ((X tptp.a) (Y tptp.a)) (= X Y)))))
% 0.22/0.64 (set-info :filename cvc5---1.0.5_23418)
% 0.22/0.64 (check-sat-assuming ( true ))
% 0.22/0.64 ------- get file name : TPTP file name is SEV288^5
% 0.22/0.64 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23418.smt2...
% 0.22/0.64 --- Run --ho-elim --full-saturate-quant at 10...
% 0.22/0.64 % SZS status Theorem for SEV288^5
% 0.22/0.64 % SZS output start Proof for SEV288^5
% 0.22/0.64 (
% 0.22/0.64 (let ((_let_1 (lambda ((X tptp.a) (Y tptp.a)) (= X Y)))) (let ((_let_2 (not (= (lambda ((X tptp.a) (Y tptp.a)) (forall ((Xq (-> tptp.a Bool))) (=> (@ Xq X) (@ Xq Y)))) _let_1)))) (let ((_let_3 (forall ((BOUND_VARIABLE_657 |u_(-> tptp.a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_657 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) (ho_6 BOUND_VARIABLE_657 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171))))) (let ((_let_4 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_5 (ho_6 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171))) (let ((_let_6 (ho_6 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (ho_5 k_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_10 (ho_6 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171))) (let ((_let_11 (= _let_10 _let_3))) (let ((_let_12 (forall ((BOUND_VARIABLE_613 tptp.a) (BOUND_VARIABLE_614 tptp.a)) (= (ho_6 (ho_5 k_7 BOUND_VARIABLE_613) BOUND_VARIABLE_614) (forall ((BOUND_VARIABLE_657 |u_(-> tptp.a Bool)|)) (or (not (ho_6 BOUND_VARIABLE_657 BOUND_VARIABLE_613)) (ho_6 BOUND_VARIABLE_657 BOUND_VARIABLE_614))))))) (let ((_let_13 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_14 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_15 (forall ((u |u_(-> tptp.a tptp.a Bool)|) (e |u_(-> tptp.a Bool)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii)))))))))) (let ((_let_16 (forall ((x |u_(-> tptp.a tptp.a Bool)|) (y |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_17 (forall ((BOUND_VARIABLE_624 tptp.a) (BOUND_VARIABLE_625 tptp.a)) (= (= BOUND_VARIABLE_624 BOUND_VARIABLE_625) (ho_6 (ho_5 k_4 BOUND_VARIABLE_624) BOUND_VARIABLE_625))))) (let ((_let_18 (= k_4 k_7))) (let ((_let_19 (not _let_18))) (let ((_let_20 (forall ((BOUND_VARIABLE_624 tptp.a) (BOUND_VARIABLE_625 tptp.a)) (= (= BOUND_VARIABLE_624 BOUND_VARIABLE_625) (ll_3 BOUND_VARIABLE_624 BOUND_VARIABLE_625))))) (let ((_let_21 (forall ((BOUND_VARIABLE_613 tptp.a) (BOUND_VARIABLE_614 tptp.a)) (= (forall ((Xq (-> tptp.a Bool))) (or (not (@ Xq BOUND_VARIABLE_613)) (@ Xq BOUND_VARIABLE_614))) (ll_2 BOUND_VARIABLE_613 BOUND_VARIABLE_614))))) (let ((_let_22 (not (= ll_2 ll_3)))) (let ((_let_23 (and _let_22 _let_21 _let_20))) (let ((_let_24 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (= _let_1 (lambda ((X tptp.a) (Y tptp.a)) (forall ((Xq (-> tptp.a Bool))) (or (not (@ Xq X)) (@ Xq Y)))))) _let_22))))) (PREPROCESS :args ((and _let_21 _let_20)))) :args (_let_23)) (PREPROCESS :args ((= _let_23 (and _let_19 _let_12 _let_17))))) (PREPROCESS :args ((and _let_16 _let_15 _let_14 _let_13)))) :args ((and _let_19 _let_12 _let_17 _let_16 _let_15 _let_14 _let_13))))) (let ((_let_25 (AND_ELIM _let_24 :args (1)))) (let ((_let_26 (_let_12))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (= _let_5 _let_10))) (let ((_let_29 (forall ((z tptp.a)) (= (ho_6 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) z) (ho_6 (ho_5 k_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) z))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (= _let_9 _let_4))) (let ((_let_32 (not _let_29))) (let ((_let_33 (or _let_32 _let_31))) (let ((_let_34 (_let_14))) (let ((_let_35 (forall ((z tptp.a)) (= (ho_5 k_7 z) (ho_5 k_4 z))))) (let ((_let_36 (not _let_31))) (let ((_let_37 (not _let_35))) (let ((_let_38 (or _let_37 _let_18))) (let ((_let_39 (_let_16))) (let ((_let_40 (or))) (let ((_let_41 (_let_37))) (let ((_let_42 (_let_32))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_42)) :args _let_42)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_29))) (REFL :args (_let_30)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_31 _let_32 (not _let_33)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_35))) (REFL :args (_let_36)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_18 _let_37 (not _let_38)))) (AND_ELIM _let_24 :args (0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (k_7 k_4 QUANTIFIERS_INST_ENUM)) :args _let_39))) (AND_ELIM _let_24 :args (3)) :args (_let_38 false _let_16)) :args (_let_37 true _let_18 false _let_38)) :args (_let_36 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (_let_4 _let_9 QUANTIFIERS_INST_ENUM)) :args _let_34))) (AND_ELIM _let_24 :args (5)) :args (_let_33 false _let_14)) :args (_let_32 true _let_31 false _let_33)) :args (_let_30 true _let_29)))) (let ((_let_44 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171))) (let ((_let_45 (= _let_5 _let_44))) (let ((_let_46 (ho_6 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_47 (not _let_5))) (let ((_let_48 (_let_28))) (let ((_let_49 (AND_ELIM _let_24 :args (2)))) (let ((_let_50 (_let_17))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_ENUM))) (let ((_let_53 (not _let_10))) (let ((_let_54 (ASSUME :args (_let_46)))) (let ((_let_55 (ASSUME :args (_let_44)))) (let ((_let_56 (ASSUME :args (_let_53)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_54 _let_55 _let_56) :args (_let_46 _let_53 _let_44)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_56)) (CONG (REFL :args (_let_9)) (SYMM _let_55) :args (APPLY_UF ho_6)) (TRUE_INTRO _let_54))) :args (_let_46 _let_44 _let_53)) :args ((not (and _let_46 _let_53 _let_44)) SB_LITERAL))) (CONG (REFL :args ((not _let_46))) (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_10))) (REFL :args ((not _let_44))) :args _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args _let_52) :args _let_26))) _let_25 :args (_let_46 false _let_12)) (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or _let_47 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171 QUANTIFIERS_INST_CBQI_PROP)) :args _let_50))) _let_49 :args (_let_45 false _let_17)) (CNF_EQUIV_NEG2 :args _let_48) _let_43 :args (_let_47 false _let_46 false _let_44 false _let_45 true _let_10 true _let_28)))) (let ((_let_58 (not _let_8))) (let ((_let_59 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (_let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_5 _let_58))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args _let_52) :args _let_50))) _let_49 :args (_let_6 false _let_17)) _let_57 :args (_let_58 false _let_6 true _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or _let_53 _let_3 (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_48) :args ((or _let_5 _let_10 _let_28))) _let_57 _let_43 :args (_let_10 true _let_5 true _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_171 QUANTIFIERS_INST_E_MATCHING ((ho_6 (ho_5 k_7 BOUND_VARIABLE_613) BOUND_VARIABLE_614)))) :args _let_26)) _let_25 :args (_let_11 false _let_12)) :args (_let_3 false _let_10 false _let_11)) :args (false true _let_8 false _let_3)) :args (_let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.64 )
% 0.22/0.64 % SZS output end Proof for SEV288^5
% 0.22/0.65 % cvc5---1.0.5 exiting
% 0.22/0.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------