TSTP Solution File: SEV397^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV397^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV397^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n020.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 02:30:30 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TH0
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 % File : SEV397^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.52 % Domain : Set Theory
% 0.21/0.52 % Problem : TPS problem THM59
% 0.21/0.52 % Version : Especial.
% 0.21/0.52 % English :
% 0.21/0.52
% 0.21/0.52 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.52 % Source : [Bro09]
% 0.21/0.52 % Names : tps_0381 [Bro09]
% 0.21/0.52 % : THM58 [TPS]
% 0.21/0.52 % : THM59 [TPS]
% 0.21/0.52
% 0.21/0.52 % Status : Theorem
% 0.21/0.52 % Rating : 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.21/0.52 % Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% 0.21/0.52 % Number of atoms : 7 ( 0 equ; 0 cnn)
% 0.21/0.52 % Maximal formula atoms : 7 ( 7 avg)
% 0.21/0.52 % Number of connectives : 13 ( 0 ~; 3 |; 2 &; 7 @)
% 0.21/0.52 % ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% 0.21/0.52 % Maximal formula depth : 6 ( 6 avg)
% 0.21/0.52 % Number of types : 2 ( 1 usr)
% 0.21/0.52 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.21/0.52 % Number of symbols : 3 ( 3 usr; 0 con; 1-1 aty)
% 0.21/0.52 % Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 0.21/0.52 % SPC : TH0_THM_NEQ_NAR
% 0.21/0.52
% 0.21/0.52 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.52 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.52 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.52 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.52 % : Polymorphic definitions expanded.
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 thf(a_type,type,
% 0.21/0.52 a: $tType ).
% 0.21/0.52
% 0.21/0.52 thf(cZ,type,
% 0.21/0.52 cZ: a > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cY,type,
% 0.21/0.52 cY: a > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cX,type,
% 0.21/0.52 cX: a > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cTHM59_pme,conjecture,
% 0.21/0.52 ! [Xx: a] :
% 0.21/0.52 ( ( ( ( cX @ Xx )
% 0.21/0.52 & ( cY @ Xx ) )
% 0.21/0.52 | ( cZ @ Xx ) )
% 0.21/0.52 <=> ( ( ( cX @ Xx )
% 0.21/0.52 | ( cZ @ Xx ) )
% 0.21/0.52 & ( ( cY @ Xx )
% 0.21/0.52 | ( cZ @ Xx ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.oyPN0tn23T/cvc5---1.0.5_11101.p...
% 0.21/0.52 (declare-sort $$unsorted 0)
% 0.21/0.52 (declare-sort tptp.a 0)
% 0.21/0.52 (declare-fun tptp.cZ (tptp.a) Bool)
% 0.21/0.52 (declare-fun tptp.cY (tptp.a) Bool)
% 0.21/0.52 (declare-fun tptp.cX (tptp.a) Bool)
% 0.21/0.52 (assert (not (forall ((Xx tptp.a)) (let ((_let_1 (@ tptp.cZ Xx))) (let ((_let_2 (@ tptp.cY Xx))) (let ((_let_3 (@ tptp.cX Xx))) (= (or (and _let_3 _let_2) _let_1) (and (or _let_3 _let_1) (or _let_2 _let_1)))))))))
% 0.21/0.52 (set-info :filename cvc5---1.0.5_11101)
% 0.21/0.52 (check-sat-assuming ( true ))
% 0.21/0.52 ------- get file name : TPTP file name is SEV397^5
% 0.21/0.52 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11101.smt2...
% 0.21/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for SEV397^5
% 0.21/0.52 % SZS output start Proof for SEV397^5
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (not (forall ((Xx tptp.a)) (let ((_let_1 (@ tptp.cZ Xx))) (let ((_let_2 (@ tptp.cY Xx))) (let ((_let_3 (@ tptp.cX Xx))) (= (or (and _let_3 _let_2) _let_1) (and (or _let_3 _let_1) (or _let_2 _let_1)))))))))) (let ((_let_2 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_3 (ho_3 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_4 (ho_3 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_5 (and _let_4 _let_3))) (let ((_let_6 (or _let_5 _let_2))) (let ((_let_7 (or _let_3 _let_2))) (let ((_let_8 (or _let_4 _let_2))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (= _let_9 _let_6))) (let ((_let_11 (forall ((Xx tptp.a)) (let ((_let_1 (ho_3 k_2 Xx))) (let ((_let_2 (ho_3 k_4 Xx))) (let ((_let_3 (ho_3 k_5 Xx))) (= (and (or _let_3 _let_1) (or _let_2 _let_1)) (or (and _let_3 _let_2) _let_1)))))))) (let ((_let_12 (not _let_10))) (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_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_14 (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_15 (not _let_11))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_1)) (PREPROCESS :args ((= _let_1 _let_15)))))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_16) :args (_let_15))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_11))) (REFL :args (_let_12)) :args (or))) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_16 (PREPROCESS :args ((and _let_14 _let_13)))) :args ((and _let_15 _let_14 _let_13))) :args (0)) :args (_let_12 true _let_11)))) (let ((_let_18 (not _let_6))) (let ((_let_19 (not _let_5))) (let ((_let_20 (not _let_4))) (let ((_let_21 (CNF_OR_NEG :args (_let_8 0)))) (let ((_let_22 (CNF_AND_NEG :args (_let_9)))) (let ((_let_23 (_let_10))) (let ((_let_24 (CNF_EQUIV_NEG2 :args _let_23))) (let ((_let_25 (not _let_8))) (let ((_let_26 (not _let_2))) (let ((_let_27 (MACRO_RESOLUTION_TRUST _let_24 _let_17 _let_22 (CNF_OR_NEG :args (_let_6 1)) (CNF_OR_NEG :args (_let_7 1)) :args ((or _let_26 _let_25) true _let_10 false _let_9 false _let_6 false _let_7)))) (let ((_let_28 (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_2 _let_5 _let_18))))) (let ((_let_29 (not _let_9))) (let ((_let_30 (REORDERING (CNF_EQUIV_NEG1 :args _let_23) :args ((or _let_9 _let_6 _let_10))))) (let ((_let_31 (MACRO_RESOLUTION_TRUST _let_30 _let_17 (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_7 _let_29))) _let_28 (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_2 _let_3 (not _let_7)))) _let_27 (REORDERING (CNF_AND_POS :args (_let_5 1)) :args ((or _let_3 _let_19))) (MACRO_RESOLUTION_TRUST _let_24 _let_17 (CNF_OR_NEG :args (_let_6 0)) _let_22 (CNF_AND_NEG :args (_let_5)) (CNF_OR_NEG :args (_let_7 0)) _let_21 :args ((or _let_20 (not _let_3)) true _let_10 false _let_6 false _let_9 false _let_5 false _let_7 false _let_8)) _let_21 :args (_let_20 true _let_10 true _let_9 true _let_6 true _let_7 true _let_2 true _let_5 true _let_3 false _let_8)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST _let_27 (CNF_OR_NEG :args (_let_8 1)) :args (_let_26 false _let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_8 _let_29))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_4 _let_2 _let_25))) _let_31 _let_32 :args (_let_25 true _let_4 true _let_2)) :args (_let_29 true _let_8)) (MACRO_RESOLUTION_TRUST _let_28 _let_32 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_5 0)) :args ((or _let_4 _let_19))) _let_31 :args (_let_19 true _let_4)) :args (_let_18 true _let_2 true _let_5)) _let_17 :args (false true _let_9 true _let_6 true _let_10)) :args (_let_1 true)))))))))))))))))))))))))))))))))))
% 0.21/0.52 )
% 0.21/0.52 % SZS output end Proof for SEV397^5
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------