TSTP Solution File: SET603^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET603^5 : 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 14:39:22 EDT 2023
% Result : Theorem 0.19s 0.52s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET603^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Sat Aug 26 09:22:11 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.48 %----Proving TH0
% 0.19/0.52 %------------------------------------------------------------------------------
% 0.19/0.52 % File : SET603^5 : TPTP v8.1.2. Released v4.0.0.
% 0.19/0.52 % Domain : Set Theory
% 0.19/0.52 % Problem : TPS problem BOOL-PROP-74
% 0.19/0.52 % Version : Especial.
% 0.19/0.52 % English : Trybulec's 74th Boolean property of sets
% 0.19/0.52
% 0.19/0.52 % Refs : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.19/0.52 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.52 % Source : [Bro09]
% 0.19/0.52 % Names : tps_0041 [Bro09]
% 0.19/0.52 % : BOOL-PROP-74 [TPS]
% 0.19/0.52
% 0.19/0.52 % Status : Theorem
% 0.19/0.52 % Rating : 0.23 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 v5.3.0, 0.40 v5.2.0, 0.20 v4.1.0, 0.00 v4.0.0
% 0.19/0.52 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.19/0.52 % Number of atoms : 2 ( 1 equ; 0 cnn)
% 0.19/0.52 % Maximal formula atoms : 1 ( 2 avg)
% 0.19/0.52 % Number of connectives : 3 ( 1 ~; 0 |; 1 &; 1 @)
% 0.19/0.52 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.52 % Maximal formula depth : 2 ( 2 avg)
% 0.19/0.52 % Number of types : 2 ( 1 usr)
% 0.19/0.52 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.19/0.52 % Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% 0.19/0.52 % Number of variables : 2 ( 1 ^; 1 !; 0 ?; 2 :)
% 0.19/0.52 % SPC : TH0_THM_EQU_NAR
% 0.19/0.52
% 0.19/0.52 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.52 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.52 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.52 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.52 % : Polymorphic definitions expanded.
% 0.19/0.52 %------------------------------------------------------------------------------
% 0.19/0.52 thf(a_type,type,
% 0.19/0.52 a: $tType ).
% 0.19/0.52
% 0.19/0.52 thf(cBOOL_PROP_74_pme,conjecture,
% 0.19/0.52 ! [X: a > $o] :
% 0.19/0.52 ( ( ^ [Xx: a] :
% 0.19/0.52 ( ( X @ Xx )
% 0.19/0.52 & ~ $false ) )
% 0.19/0.52 = X ) ).
% 0.19/0.52
% 0.19/0.52 %------------------------------------------------------------------------------
% 0.19/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.9vdHvisWiC/cvc5---1.0.5_725.p...
% 0.19/0.52 (declare-sort $$unsorted 0)
% 0.19/0.52 (declare-sort tptp.a 0)
% 0.19/0.52 (assert (not (forall ((X (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (and (@ X Xx) (not false))) X))))
% 0.19/0.52 (set-info :filename cvc5---1.0.5_725)
% 0.19/0.52 (check-sat-assuming ( true ))
% 0.19/0.52 ------- get file name : TPTP file name is SET603^5
% 0.19/0.52 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_725.smt2...
% 0.19/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.19/0.52 % SZS status Theorem for SET603^5
% 0.19/0.52 % SZS output start Proof for SET603^5
% 0.19/0.52 (
% 0.19/0.52 (let ((_let_1 (not (forall ((X (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (and (@ X Xx) (not false))) X))))) (let ((_let_2 (forall ((BOUND_VARIABLE_615 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_603 tptp.a)) (= (ho_3 (ho_5 k_4 BOUND_VARIABLE_615) BOUND_VARIABLE_603) (ho_3 BOUND_VARIABLE_615 BOUND_VARIABLE_603))))) (let ((_let_3 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_4 (= (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (ho_3 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)))) (let ((_let_5 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_6 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_7 (forall ((u |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (e |u_(-> tptp.a Bool)|) (i |u_(-> tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (not (forall ((ii |u_(-> tptp.a Bool)|)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii)))))))))) (let ((_let_8 (forall ((x |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (y |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (or (not (forall ((z |u_(-> tptp.a Bool)|)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_9 (forall ((BOUND_VARIABLE_628 |u_(-> tptp.a Bool)|)) (= BOUND_VARIABLE_628 (ho_5 k_4 BOUND_VARIABLE_628))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (forall ((BOUND_VARIABLE_602 (-> tptp.a Bool)) (BOUND_VARIABLE_603 tptp.a)) (= (@ BOUND_VARIABLE_602 BOUND_VARIABLE_603) (ll_2 BOUND_VARIABLE_602 BOUND_VARIABLE_603))))) (let ((_let_12 (not (forall ((X (-> tptp.a Bool))) (= X (@ ll_2 X)))))) (let ((_let_13 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((X (-> tptp.a Bool))) (= X (lambda ((Xx tptp.a)) (@ X Xx))))) _let_12))))) (PREPROCESS :args (_let_11))) (PREPROCESS :args ((= (and _let_12 _let_11) (and _let_10 _let_2))))) (PREPROCESS :args ((and _let_8 _let_7 _let_6 _let_5)))) :args ((and _let_10 _let_2 _let_8 _let_7 _let_6 _let_5))))) (let ((_let_14 (forall ((z tptp.a)) (= (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 z) (ho_3 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) z))))) (let ((_let_15 (not _let_4))) (let ((_let_16 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_3))) (let ((_let_17 (not _let_14))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (_let_6))) (let ((_let_20 (not _let_16))) (let ((_let_21 (or))) (let ((_let_22 (_let_10))) (let ((_let_23 (_let_17))) (let ((_let_24 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_24) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_24))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_23)) :args _let_23)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_14))) (REFL :args (_let_15)) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_16 _let_17 (not _let_18)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_22)) :args _let_22)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) (REFL :args (_let_20)) :args _let_21)) (AND_ELIM _let_13 :args (0)) :args (_let_20 true _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_19) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_3 QUANTIFIERS_INST_ENUM)) :args _let_19)) (AND_ELIM _let_13 :args (4)) :args (_let_18 false _let_6)) :args (_let_17 true _let_16 false _let_18)) :args (_let_15 true _let_14)) (AND_ELIM _let_13 :args (1)) :args (false true _let_4 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))
% 0.19/0.53 )
% 0.19/0.53 % SZS output end Proof for SET603^5
% 0.19/0.53 % cvc5---1.0.5 exiting
% 0.19/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------