TSTP Solution File: SYN049^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN049^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 : Fri Sep 1 02:01:03 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 : SYN049^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n025.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 : Sat Aug 26 17:52:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 % File : SYN049^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.52 % Domain : Syntactic
% 0.21/0.52 % Problem : TPS problem PELL19
% 0.21/0.52 % Version : Especial.
% 0.21/0.52 % English :
% 0.21/0.52
% 0.21/0.52 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.21/0.52 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.52 % Source : [Bro09]
% 0.21/0.52 % Names : tps_0188 [Bro09]
% 0.21/0.52 % : PELL19 [TPS]
% 0.21/0.52 % : Pelletier 19 [Pel86]
% 0.21/0.52
% 0.21/0.52 % Status : Theorem
% 0.21/0.52 % Rating : 0.09 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.0.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% 0.21/0.52 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.21/0.52 % Number of atoms : 4 ( 0 equ; 0 cnn)
% 0.21/0.52 % Maximal formula atoms : 4 ( 4 avg)
% 0.21/0.52 % Number of connectives : 7 ( 0 ~; 0 |; 0 &; 4 @)
% 0.21/0.52 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.21/0.52 % Maximal formula depth : 7 ( 7 avg)
% 0.21/0.52 % Number of types : 2 ( 0 usr)
% 0.21/0.52 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.21/0.52 % Number of symbols : 2 ( 2 usr; 0 con; 1-1 aty)
% 0.21/0.52 % Number of variables : 3 ( 0 ^; 2 !; 1 ?; 3 :)
% 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 % :
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 thf(cQ,type,
% 0.21/0.52 cQ: $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cP,type,
% 0.21/0.52 cP: $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cPELL19,conjecture,
% 0.21/0.52 ? [Xx: $i] :
% 0.21/0.52 ! [Xy: $i,Xz: $i] :
% 0.21/0.52 ( ( ( cP @ Xy )
% 0.21/0.52 => ( cQ @ Xz ) )
% 0.21/0.52 => ( ( cP @ Xx )
% 0.21/0.52 => ( cQ @ Xx ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.tccj0GRNkB/cvc5---1.0.5_6416.p...
% 0.21/0.52 (declare-sort $$unsorted 0)
% 0.21/0.52 (declare-fun tptp.cQ ($$unsorted) Bool)
% 0.21/0.52 (declare-fun tptp.cP ($$unsorted) Bool)
% 0.21/0.52 (assert (not (exists ((Xx $$unsorted)) (forall ((Xy $$unsorted) (Xz $$unsorted)) (=> (=> (@ tptp.cP Xy) (@ tptp.cQ Xz)) (=> (@ tptp.cP Xx) (@ tptp.cQ Xx)))))))
% 0.21/0.52 (set-info :filename cvc5---1.0.5_6416)
% 0.21/0.52 (check-sat-assuming ( true ))
% 0.21/0.52 ------- get file name : TPTP file name is SYN049^5
% 0.21/0.52 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6416.smt2...
% 0.21/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for SYN049^5
% 0.21/0.52 % SZS output start Proof for SYN049^5
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (not (exists ((Xx $$unsorted)) (forall ((Xy $$unsorted) (Xz $$unsorted)) (=> (=> (@ tptp.cP Xy) (@ tptp.cQ Xz)) (=> (@ tptp.cP Xx) (@ tptp.cQ Xx)))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_600 $$unsorted)) (ho_3 k_4 BOUND_VARIABLE_600)))) (let ((_let_3 (forall ((BOUND_VARIABLE_609 $$unsorted)) (not (ho_3 k_2 BOUND_VARIABLE_609))))) (let ((_let_4 (forall ((BOUND_VARIABLE_633 $$unsorted)) (ho_3 k_4 BOUND_VARIABLE_633)))) (let ((_let_5 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_6 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_7 (not _let_3))) (let ((_let_8 (not _let_2))) (let ((_let_9 (or _let_8 _let_7))) (let ((_let_10 (forall ((BOUND_VARIABLE_638 $$unsorted)) (not (ho_3 k_2 BOUND_VARIABLE_638))))) (let ((_let_11 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (and (forall ((BOUND_VARIABLE_633 $$unsorted)) (@ tptp.cP BOUND_VARIABLE_633)) (forall ((BOUND_VARIABLE_638 $$unsorted)) (not (@ tptp.cQ BOUND_VARIABLE_638))) (or (not (forall ((BOUND_VARIABLE_600 $$unsorted)) (@ tptp.cP BOUND_VARIABLE_600))) (not (forall ((BOUND_VARIABLE_609 $$unsorted)) (not (@ tptp.cQ BOUND_VARIABLE_609)))))) (and _let_4 _let_10 _let_9)))))) (PREPROCESS :args ((and _let_6 _let_5)))) :args ((and _let_4 _let_10 _let_9 _let_6 _let_5))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_11 :args (2)) :args ((or _let_7 _let_8))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (SYMM (ALPHA_EQUIV :args (_let_10 (= BOUND_VARIABLE_638 BOUND_VARIABLE_609))))) (AND_ELIM _let_11 :args (1)) :args (_let_3 false _let_10)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (SYMM (ALPHA_EQUIV :args (_let_4 (= BOUND_VARIABLE_633 BOUND_VARIABLE_600))))) (AND_ELIM _let_11 :args (0)) :args (_let_2 false _let_4)) :args (false false _let_3 false _let_2)) :args (_let_1 true))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for SYN049^5
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------