TSTP Solution File: SEV411^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV411^5 : 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 19:22:26 EDT 2023
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV411^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n007.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
% 0.13/0.35 % DateTime : Thu Aug 24 01:53:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TH0
% 0.20/0.52 %------------------------------------------------------------------------------
% 0.20/0.52 % File : SEV411^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.52 % Domain : Set Theory
% 0.20/0.52 % Problem : TPS problem from SETS-THMS
% 0.20/0.52 % Version : Especial.
% 0.20/0.52 % English :
% 0.20/0.52
% 0.20/0.52 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.52 % Source : [Bro09]
% 0.20/0.52 % Names : tps_0799 [Bro09]
% 0.20/0.52
% 0.20/0.52 % Status : Theorem
% 0.20/0.52 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.20/0.52 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.20/0.52 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.20/0.52 % Maximal formula atoms : 6 ( 6 avg)
% 0.20/0.52 % Number of connectives : 11 ( 0 ~; 1 |; 0 &; 6 @)
% 0.20/0.52 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.20/0.52 % Maximal formula depth : 6 ( 6 avg)
% 0.20/0.52 % Number of types : 2 ( 0 usr)
% 0.20/0.52 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.20/0.52 % Number of symbols : 2 ( 2 usr; 0 con; 1-1 aty)
% 0.20/0.52 % Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% 0.20/0.52 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.52
% 0.20/0.52 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.52 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.52 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.52 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.52 %------------------------------------------------------------------------------
% 0.20/0.52 thf(cB,type,
% 0.20/0.52 cB: $i > $o ).
% 0.20/0.52
% 0.20/0.52 thf(cA,type,
% 0.20/0.52 cA: $i > $o ).
% 0.20/0.52
% 0.20/0.52 thf(cDUAL_EG1_pme,conjecture,
% 0.20/0.52 ( ( ! [Xx: $i] :
% 0.20/0.52 ( ( cA @ Xx )
% 0.20/0.52 => ( cB @ Xx ) )
% 0.20/0.52 | ! [Xx: $i] :
% 0.20/0.52 ( ( cA @ Xx )
% 0.20/0.52 => ( cB @ Xx ) ) )
% 0.20/0.52 => ! [Xx: $i] :
% 0.20/0.52 ( ( cA @ Xx )
% 0.20/0.52 => ( cB @ Xx ) ) ) ).
% 0.20/0.52
% 0.20/0.52 %------------------------------------------------------------------------------
% 0.20/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VKz8J2Cjeg/cvc5---1.0.5_31634.p...
% 0.20/0.52 (declare-sort $$unsorted 0)
% 0.20/0.52 (declare-fun tptp.cB ($$unsorted) Bool)
% 0.20/0.52 (declare-fun tptp.cA ($$unsorted) Bool)
% 0.20/0.52 (assert (not (=> (or (forall ((Xx $$unsorted)) (=> (@ tptp.cA Xx) (@ tptp.cB Xx))) (forall ((Xx $$unsorted)) (=> (@ tptp.cA Xx) (@ tptp.cB Xx)))) (forall ((Xx $$unsorted)) (=> (@ tptp.cA Xx) (@ tptp.cB Xx))))))
% 0.20/0.52 (set-info :filename cvc5---1.0.5_31634)
% 0.20/0.52 (check-sat-assuming ( true ))
% 0.20/0.52 ------- get file name : TPTP file name is SEV411^5
% 0.20/0.52 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31634.smt2...
% 0.20/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Theorem for SEV411^5
% 0.20/0.52 % SZS output start Proof for SEV411^5
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (not (=> (or (forall ((Xx $$unsorted)) (=> (@ tptp.cA Xx) (@ tptp.cB Xx))) (forall ((Xx $$unsorted)) (=> (@ tptp.cA Xx) (@ tptp.cB Xx)))) (forall ((Xx $$unsorted)) (=> (@ tptp.cA Xx) (@ tptp.cB Xx))))))) (let ((_let_2 (forall ((Xx $$unsorted)) (or (not (ho_3 k_4 Xx)) (ho_3 k_2 Xx))))) (let ((_let_3 (forall ((Xx $$unsorted)) (or (not (ho_3 k_4 Xx)) (ho_3 k_2 Xx))))) (let ((_let_4 (forall ((Xx $$unsorted)) (or (not (ho_3 k_4 Xx)) (ho_3 k_2 Xx))))) (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 $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_7 (not (=> (or _let_2 _let_3) _let_4)))) (let ((_let_8 (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (=> (or (forall ((Xx $$unsorted)) (or (not (@ tptp.cA Xx)) (@ tptp.cB Xx))) (forall ((Xx $$unsorted)) (or (not (@ tptp.cA Xx)) (@ tptp.cB Xx)))) (forall ((Xx $$unsorted)) (or (not (@ tptp.cA Xx)) (@ tptp.cB Xx))))) _let_7))))) (PREPROCESS :args ((and _let_6 _let_5)))) :args ((and _let_7 _let_6 _let_5))) :args (0)))) (let ((_let_9 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (SYMM (ALPHA_EQUIV :args (_let_2 (= Xx Xx))))) (NOT_IMPLIES_ELIM2 _let_8) :args ((not _let_2) true _let_4)))) (let ((_let_10 (not _let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (NOT_IMPLIES_ELIM1 _let_8) :args ((or _let_3 _let_2))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (SYMM (ALPHA_EQUIV :args (_let_2 (= Xx Xx))))) :args ((or _let_2 _let_10))) _let_9 :args (_let_10 true _let_2)) _let_9 :args (false true _let_3 true _let_2)) :args (_let_1 true)))))))))))))
% 0.20/0.52 )
% 0.20/0.52 % SZS output end Proof for SEV411^5
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------