TSTP Solution File: SYN375^5 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN375^5 : 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 02:02:50 EDT 2023
% Result : Theorem 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN375^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 21:02:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TH0
% 0.20/0.51 %------------------------------------------------------------------------------
% 0.20/0.51 % File : SYN375^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.51 % Domain : Syntactic
% 0.20/0.51 % Problem : TPS problem from BASIC-FO-THMS
% 0.20/0.51 % Version : Especial.
% 0.20/0.51 % English :
% 0.20/0.51
% 0.20/0.51 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.51 % Source : [Bro09]
% 0.20/0.51 % Names : tps_0832 [Bro09]
% 0.20/0.51
% 0.20/0.51 % Status : Theorem
% 0.20/0.51 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% 0.20/0.51 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.20/0.51 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.20/0.51 % Maximal formula atoms : 6 ( 6 avg)
% 0.20/0.51 % Number of connectives : 11 ( 0 ~; 0 |; 1 &; 6 @)
% 0.20/0.51 % ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% 0.20/0.51 % Maximal formula depth : 6 ( 6 avg)
% 0.20/0.51 % Number of types : 2 ( 0 usr)
% 0.20/0.51 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.20/0.51 % Number of symbols : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.20/0.51 % Number of variables : 6 ( 0 ^; 3 !; 3 ?; 6 :)
% 0.20/0.51 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.51
% 0.20/0.51 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.51 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.51 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.51 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.51 % :
% 0.20/0.51 %------------------------------------------------------------------------------
% 0.20/0.51 thf(cP,type,
% 0.20/0.51 cP: $i > $o ).
% 0.20/0.51
% 0.20/0.51 thf(cX2126_BUG,conjecture,
% 0.20/0.51 ( ( ( ! [Xx: $i] : ( cP @ Xx )
% 0.20/0.51 => ? [Xy: $i] : ( cP @ Xy ) )
% 0.20/0.51 & ( ? [Xy: $i] : ( cP @ Xy )
% 0.20/0.51 => ! [Xx: $i] : ( cP @ Xx ) ) )
% 0.20/0.51 => ( ? [Xy: $i] : ( cP @ Xy )
% 0.20/0.51 <=> ! [Xx: $i] : ( cP @ Xx ) ) ) ).
% 0.20/0.51
% 0.20/0.51 %------------------------------------------------------------------------------
% 0.20/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JHooSCkJwp/cvc5---1.0.5_13484.p...
% 0.20/0.51 (declare-sort $$unsorted 0)
% 0.20/0.51 (declare-fun tptp.cP ($$unsorted) Bool)
% 0.20/0.51 (assert (not (=> (and (=> (forall ((Xx $$unsorted)) (@ tptp.cP Xx)) (exists ((Xy $$unsorted)) (@ tptp.cP Xy))) (=> (exists ((Xy $$unsorted)) (@ tptp.cP Xy)) (forall ((Xx $$unsorted)) (@ tptp.cP Xx)))) (= (exists ((Xy $$unsorted)) (@ tptp.cP Xy)) (forall ((Xx $$unsorted)) (@ tptp.cP Xx))))))
% 0.20/0.51 (set-info :filename cvc5---1.0.5_13484)
% 0.20/0.51 (check-sat-assuming ( true ))
% 0.20/0.51 ------- get file name : TPTP file name is SYN375^5
% 0.20/0.51 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13484.smt2...
% 0.20/0.51 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.51 % SZS status Theorem for SYN375^5
% 0.20/0.51 % SZS output start Proof for SYN375^5
% 0.20/0.51 (
% 0.20/0.51 (let ((_let_1 (forall ((Xx $$unsorted)) (@ tptp.cP Xx)))) (let ((_let_2 (forall ((Xx $$unsorted)) (@ tptp.cP Xx)))) (let ((_let_3 (forall ((Xx $$unsorted)) (@ tptp.cP Xx)))) (let ((_let_4 (not (=> (and (=> _let_3 (exists ((Xy $$unsorted)) (@ tptp.cP Xy))) (=> (exists ((Xy $$unsorted)) (@ tptp.cP Xy)) _let_2)) (= (exists ((Xy $$unsorted)) (@ tptp.cP Xy)) _let_1))))) (let ((_let_5 (forall ((Xx $$unsorted)) (ho_3 k_2 Xx)))) (let ((_let_6 (forall ((Xy $$unsorted)) (not (ho_3 k_2 Xy))))) (let ((_let_7 (forall ((Xx $$unsorted)) (ho_3 k_2 Xx)))) (let ((_let_8 (forall ((Xx $$unsorted)) (ho_3 k_2 Xx)))) (let ((_let_9 (forall ((Xy $$unsorted)) (not (ho_3 k_2 Xy))))) (let ((_let_10 (forall ((Xy $$unsorted)) (not (ho_3 k_2 Xy))))) (let ((_let_11 (not _let_5))) (let ((_let_12 (SYMM (ALPHA_EQUIV :args (_let_7 (= Xx Xx)))))) (let ((_let_13 (or))) (let ((_let_14 (not _let_9))) (let ((_let_15 (0))) (let ((_let_16 (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_17 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_18 (not _let_6))) (let ((_let_19 (not _let_10))) (let ((_let_20 (not (=> (and (=> _let_7 _let_19) (=> _let_14 _let_8)) (= _let_18 _let_5))))) (let ((_let_21 (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (=> (and (=> _let_3 (not (forall ((Xy $$unsorted)) (not (@ tptp.cP Xy))))) (=> (not (forall ((Xy $$unsorted)) (not (@ tptp.cP Xy)))) _let_2)) (= _let_1 (not (forall ((Xy $$unsorted)) (not (@ tptp.cP Xy))))))) _let_20))))) (PREPROCESS :args ((and _let_17 _let_16)))) :args ((and _let_20 _let_17 _let_16))) :args _let_15))) (let ((_let_22 (NOT_IMPLIES_ELIM1 _let_21))) (let ((_let_23 (NOT_IMPLIES_ELIM2 _let_21))) (let ((_let_24 (SYMM (ALPHA_EQUIV :args (_let_10 (= Xy Xy)))))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_24) (EQUIV_ELIM1 (SYMM (ALPHA_EQUIV :args (_let_10 (= Xy Xy))))) (NOT_EQUIV_ELIM1 _let_23) (REORDERING (EQ_RESOLVE (IMPLIES_ELIM (AND_ELIM _let_22 :args (1))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_9))) (REFL :args (_let_8)) :args _let_13)) :args ((or _let_8 _let_9))) (REORDERING (EQUIV_ELIM1 _let_12) :args ((or _let_7 _let_11))) (REORDERING (EQUIV_ELIM1 (SYMM (ALPHA_EQUIV :args (_let_7 (= Xx Xx))))) :args ((or _let_7 (not _let_8)))) :args (_let_7 false _let_10 true _let_6 false _let_9 true _let_5 true _let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_EQUIV_ELIM2 _let_23) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_6))) (REFL :args (_let_11)) :args _let_13)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 _let_24) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (AND_ELIM _let_22 :args _let_15)) :args ((or _let_19 (not _let_7)))) _let_25 :args (_let_19 false _let_7)) :args (_let_18 true _let_10)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_12) _let_25 :args (_let_5 false _let_7)) :args (false true _let_6 false _let_5)) :args (_let_4 true))))))))))))))))))))))))))))
% 0.20/0.51 )
% 0.20/0.51 % SZS output end Proof for SYN375^5
% 0.20/0.51 % cvc5---1.0.5 exiting
% 0.20/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------