TSTP Solution File: SEV396^5 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV396^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 19:22:24 EDT 2023
% Result : Theorem 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV396^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 02:34:27 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.49 %----Proving TH0
% 0.22/0.53 %------------------------------------------------------------------------------
% 0.22/0.53 % File : SEV396^5 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.53 % Domain : Set Theory
% 0.22/0.53 % Problem : TPS problem THM31
% 0.22/0.53 % Version : Especial.
% 0.22/0.53 % English :
% 0.22/0.53
% 0.22/0.53 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.53 % Source : [Bro09]
% 0.22/0.53 % Names : tps_0377 [Bro09]
% 0.22/0.53 % : THM31 [TPS]
% 0.22/0.53
% 0.22/0.53 % Status : Theorem
% 0.22/0.53 % Rating : 0.08 v8.1.0, 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.22/0.53 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.22/0.53 % Number of atoms : 6 ( 1 equ; 0 cnn)
% 0.22/0.53 % Maximal formula atoms : 3 ( 6 avg)
% 0.22/0.53 % Number of connectives : 7 ( 0 ~; 0 |; 1 &; 4 @)
% 0.22/0.53 % ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% 0.22/0.53 % Maximal formula depth : 5 ( 5 avg)
% 0.22/0.53 % Number of types : 2 ( 0 usr)
% 0.22/0.53 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.22/0.53 % Number of symbols : 3 ( 2 usr; 0 con; 1-2 aty)
% 0.22/0.53 % Number of variables : 2 ( 1 ^; 1 !; 0 ?; 2 :)
% 0.22/0.53 % SPC : TH0_THM_EQU_NAR
% 0.22/0.53
% 0.22/0.53 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.53 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.53 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.53 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.53 % : Polymorphic definitions expanded.
% 0.22/0.53 %------------------------------------------------------------------------------
% 0.22/0.53 thf(cR,type,
% 0.22/0.53 cR: $i > $o ).
% 0.22/0.53
% 0.22/0.53 thf(cS,type,
% 0.22/0.53 cS: $i > $o ).
% 0.22/0.53
% 0.22/0.53 thf(cTHM31_pme,conjecture,
% 0.22/0.53 ( ! [Xx: $i] :
% 0.22/0.53 ( ( cR @ Xx )
% 0.22/0.53 => ( cS @ Xx ) )
% 0.22/0.53 <=> ( ( ^ [Xx: $i] :
% 0.22/0.53 ( ( cR @ Xx )
% 0.22/0.53 & ( cS @ Xx ) ) )
% 0.22/0.53 = cR ) ) ).
% 0.22/0.53
% 0.22/0.53 %------------------------------------------------------------------------------
% 0.22/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ErexjOmh6R/cvc5---1.0.5_29563.p...
% 0.22/0.53 (declare-sort $$unsorted 0)
% 0.22/0.53 (declare-fun tptp.cR ($$unsorted) Bool)
% 0.22/0.53 (declare-fun tptp.cS ($$unsorted) Bool)
% 0.22/0.53 (assert (not (= (forall ((Xx $$unsorted)) (=> (@ tptp.cR Xx) (@ tptp.cS Xx))) (= (lambda ((Xx $$unsorted)) (and (@ tptp.cR Xx) (@ tptp.cS Xx))) tptp.cR))))
% 0.22/0.53 (set-info :filename cvc5---1.0.5_29563)
% 0.22/0.53 (check-sat-assuming ( true ))
% 0.22/0.53 ------- get file name : TPTP file name is SEV396^5
% 0.22/0.53 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29563.smt2...
% 0.22/0.53 --- Run --ho-elim --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Theorem for SEV396^5
% 0.22/0.53 % SZS output start Proof for SEV396^5
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (lambda ((Xx $$unsorted)) (and (@ tptp.cR Xx) (@ tptp.cS Xx))))) (let ((_let_2 (not (= (forall ((Xx $$unsorted)) (=> (@ tptp.cR Xx) (@ tptp.cS Xx))) (= _let_1 tptp.cR))))) (let ((_let_3 (= k_3 k_6))) (let ((_let_4 (ho_4 k_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_5 (ho_4 k_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_6 (forall ((Xx $$unsorted)) (or (not (ho_4 k_6 Xx)) (ho_4 k_5 Xx))))) (let ((_let_7 (ho_4 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_8 (ho_4 k_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7))) (let ((_let_11 (forall ((z $$unsorted)) (= (ho_4 k_6 z) (ho_4 k_3 z))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_3))) (let ((_let_14 (ho_4 k_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_15 (= _let_8 _let_14))) (let ((_let_16 (and _let_8 _let_7))) (let ((_let_17 (= _let_14 _let_16))) (let ((_let_18 (not _let_6))) (let ((_let_19 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_20 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_21 (forall ((BOUND_VARIABLE_602 $$unsorted)) (= (ho_4 k_3 BOUND_VARIABLE_602) (and (ho_4 k_6 BOUND_VARIABLE_602) (ho_4 k_5 BOUND_VARIABLE_602)))))) (let ((_let_22 (not (= _let_6 _let_3)))) (let ((_let_23 (forall ((BOUND_VARIABLE_602 $$unsorted)) (= (and (@ tptp.cR BOUND_VARIABLE_602) (@ tptp.cS BOUND_VARIABLE_602)) (ll_2 BOUND_VARIABLE_602))))) (let ((_let_24 (forall ((Xx $$unsorted)) (or (not (@ tptp.cR Xx)) (@ tptp.cS Xx))))) (let ((_let_25 (not (= _let_24 (= tptp.cR ll_2))))) (let ((_let_26 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (= _let_24 (= tptp.cR _let_1))) _let_25))))) (PREPROCESS :args (_let_23))) (PREPROCESS :args ((= (and _let_25 _let_23) (and _let_22 _let_21))))) (PREPROCESS :args ((and _let_20 _let_19)))) :args ((and _let_22 _let_21 _let_20 _let_19))))) (let ((_let_27 (AND_ELIM _let_26 :args (0)))) (let ((_let_28 (_let_6))) (let ((_let_29 (_let_20))) (let ((_let_30 (or))) (let ((_let_31 (_let_12))) (let ((_let_32 (not _let_10))) (let ((_let_33 (_let_15))) (let ((_let_34 (AND_ELIM _let_26 :args (1)))) (let ((_let_35 (_let_21))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_4 k_3 BOUND_VARIABLE_602)))) :args _let_35)) _let_34 :args (_let_17 false _let_21)))) (let ((_let_38 (not _let_17))) (let ((_let_39 (not _let_16))) (let ((_let_40 (_let_17))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_40) :args ((or (not _let_14) _let_16 _let_38))) _let_37 (REORDERING (CNF_AND_POS :args (_let_16 0)) :args ((or _let_8 _let_39))) (REORDERING (CNF_EQUIV_NEG1 :args _let_33) :args ((or _let_8 _let_14 _let_15))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_16)) :args ((or _let_9 _let_16 (not _let_7)))) (REORDERING (CNF_EQUIV_POS2 :args _let_40) :args ((or _let_14 _let_39 _let_38))) _let_37 (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_7 _let_32))) (CNF_EQUIV_NEG2 :args _let_33) :args ((or _let_15 _let_9 _let_32) true _let_16 false _let_17 false _let_7 true _let_14)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_31)) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) (REFL :args ((not _let_15))) :args _let_30)) (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_3 _let_12 (not _let_13)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args (k_6 k_3 QUANTIFIERS_INST_ENUM)) :args _let_29))) (AND_ELIM _let_26 :args (2)) :args (_let_13 false _let_20)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_28) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_4 k_6 Xx) false))))) :args _let_28)) (NOT_EQUIV_ELIM2 _let_27) :args (_let_18 false _let_17 true _let_16 false _let_14 true _let_8 true _let_15 true _let_11 false _let_13 false _let_10 true _let_3)))) (let ((_let_42 (ho_4 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_43 (not _let_4))) (let ((_let_44 (or _let_43 _let_42))) (let ((_let_45 (not _let_44))) (let ((_let_46 (_let_18))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_6))) (REFL :args (_let_45)) :args _let_30)) _let_41 :args (_let_45 true _let_6)))) (let ((_let_48 (and _let_4 _let_42))) (let ((_let_49 (= _let_5 _let_48))) (let ((_let_50 (not _let_5))) (let ((_let_51 (not _let_48))) (let ((_let_52 (ASSUME :args (_let_50)))) (let ((_let_53 (ASSUME :args (_let_3)))) (let ((_let_54 (ASSUME :args (_let_4)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_52 _let_53 _let_54) :args (_let_3 _let_4 _let_50)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_54)) (CONG (SYMM _let_53) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) :args (APPLY_UF ho_4)) (FALSE_INTRO _let_52))) :args (_let_50 _let_3 _let_4)) :args ((not (and _let_3 _let_4 _let_50)) SB_LITERAL))) (CONG (REFL :args ((not _let_3))) (REFL :args (_let_43)) (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_5))) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_49)) :args ((or _let_48 _let_50 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_48 1)) :args ((or _let_42 _let_51))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_44 1)) _let_47 :args ((not _let_42) true _let_44)) :args (_let_51 true _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_35)) _let_34 :args (_let_49 false _let_21)) :args (_let_50 true _let_48 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 0)) (CONG (REFL :args (_let_44)) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_4))) :args _let_30)) :args ((or _let_4 _let_44))) _let_47 :args (_let_4 true _let_44)) (MACRO_RESOLUTION_TRUST (NOT_EQUIV_ELIM1 _let_27) _let_41 :args (_let_3 true _let_6)) :args (false true _let_5 false _let_4 false _let_3)) :args (_let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for SEV396^5
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------