TSTP Solution File: SEV408^5 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV408^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 0.56s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV408^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 03:51:08 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.48 %----Proving TH0
% 0.20/0.56 %------------------------------------------------------------------------------
% 0.20/0.56 % File : SEV408^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.56 % Domain : Set Theory
% 0.20/0.56 % Problem : TPS problem from SETS-THMS
% 0.20/0.56 % Version : Especial.
% 0.20/0.56 % English :
% 0.20/0.56
% 0.20/0.56 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.56 % Source : [Bro09]
% 0.20/0.56 % Names : tps_0772 [Bro09]
% 0.20/0.56
% 0.20/0.56 % Status : Theorem
% 0.20/0.56 % Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v6.2.0, 0.33 v6.1.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.20/0.56 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.20/0.56 % Number of atoms : 1 ( 0 equ; 0 cnn)
% 0.20/0.56 % Maximal formula atoms : 1 ( 1 avg)
% 0.20/0.56 % Number of connectives : 7 ( 0 ~; 0 |; 1 &; 4 @)
% 0.20/0.56 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.20/0.56 % Maximal formula depth : 9 ( 9 avg)
% 0.20/0.56 % Number of types : 2 ( 0 usr)
% 0.20/0.56 % Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% 0.20/0.56 % Number of symbols : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.20/0.56 % Number of variables : 4 ( 0 ^; 2 !; 2 ?; 4 :)
% 0.20/0.56 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.56
% 0.20/0.56 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.56 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.56 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.56 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.56 %------------------------------------------------------------------------------
% 0.20/0.56 thf(cF,type,
% 0.20/0.56 cF: ( $i > $o ) > $o ).
% 0.20/0.56
% 0.20/0.56 thf(cBLEDSOE2_pme,conjecture,
% 0.20/0.56 ? [G: ( $i > $o ) > $o] :
% 0.20/0.56 ! [A: $i > $o] :
% 0.20/0.56 ( ( G @ A )
% 0.20/0.56 => ? [B: $i > $o] :
% 0.20/0.56 ( ( cF @ B )
% 0.20/0.56 & ! [Xx: $i] :
% 0.20/0.56 ( ( A @ Xx )
% 0.20/0.56 => ( B @ Xx ) ) ) ) ).
% 0.20/0.56
% 0.20/0.56 %------------------------------------------------------------------------------
% 0.20/0.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.c6mHiQrMOm/cvc5---1.0.5_23409.p...
% 0.20/0.56 (declare-sort $$unsorted 0)
% 0.20/0.56 (declare-fun tptp.cF ((-> $$unsorted Bool)) Bool)
% 0.20/0.56 (assert (not (exists ((G (-> (-> $$unsorted Bool) Bool))) (forall ((A (-> $$unsorted Bool))) (=> (@ G A) (exists ((B (-> $$unsorted Bool))) (and (@ tptp.cF B) (forall ((Xx $$unsorted)) (=> (@ A Xx) (@ B Xx))))))))))
% 0.20/0.56 (set-info :filename cvc5---1.0.5_23409)
% 0.20/0.56 (check-sat-assuming ( true ))
% 0.20/0.56 ------- get file name : TPTP file name is SEV408^5
% 0.20/0.56 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23409.smt2...
% 0.20/0.56 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.56 % SZS status Theorem for SEV408^5
% 0.20/0.56 % SZS output start Proof for SEV408^5
% 0.20/0.56 (
% 0.20/0.56 (let ((_let_1 (not (exists ((G (-> (-> $$unsorted Bool) Bool))) (forall ((A (-> $$unsorted Bool))) (=> (@ G A) (exists ((B (-> $$unsorted Bool))) (and (@ tptp.cF B) (forall ((Xx $$unsorted)) (=> (@ A Xx) (@ B Xx))))))))))) (let ((_let_2 (ho_4 k_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_3 (forall ((BOUND_VARIABLE_620 |u_(-> $$unsorted Bool)|)) (or (not (ho_4 k_3 BOUND_VARIABLE_620)) (not (forall ((Xx $$unsorted)) (or (not (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 Xx)) (ho_2 BOUND_VARIABLE_620 Xx)))))))) (let ((_let_4 (not _let_3))) (let ((_let_5 (not _let_2))) (let ((_let_6 (or _let_5 _let_4))) (let ((_let_7 (forall ((BOUND_VARIABLE_624 |u_(-> $$unsorted Bool)|)) (or (not (ho_4 k_3 BOUND_VARIABLE_624)) (not (forall ((BOUND_VARIABLE_620 |u_(-> $$unsorted Bool)|)) (or (not (ho_4 k_3 BOUND_VARIABLE_620)) (not (forall ((Xx $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_624 Xx)) (ho_2 BOUND_VARIABLE_620 Xx))))))))))) (let ((_let_8 (not _let_6))) (let ((_let_9 (forall ((BOUND_VARIABLE_641 |u_(-> _u_(-> $$unsorted Bool)_ Bool)|)) (not (forall ((BOUND_VARIABLE_624 |u_(-> $$unsorted Bool)|)) (or (not (ho_4 BOUND_VARIABLE_641 BOUND_VARIABLE_624)) (not (forall ((BOUND_VARIABLE_620 |u_(-> $$unsorted Bool)|)) (or (not (ho_4 k_3 BOUND_VARIABLE_620)) (not (forall ((Xx $$unsorted)) (or (not (ho_2 BOUND_VARIABLE_624 Xx)) (ho_2 BOUND_VARIABLE_620 Xx))))))))))))) (let ((_let_10 (not _let_7))) (let ((_let_11 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii)))))))))) (let ((_let_12 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_2 x z) (ho_2 y z)))) (= x y))))) (let ((_let_13 (forall ((u |u_(-> _u_(-> $$unsorted Bool)_ Bool)|) (e Bool) (i |u_(-> $$unsorted Bool)|)) (not (forall ((v |u_(-> _u_(-> $$unsorted Bool)_ Bool)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_14 (forall ((x |u_(-> _u_(-> $$unsorted Bool)_ Bool)|) (y |u_(-> _u_(-> $$unsorted Bool)_ Bool)|)) (or (not (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((G (-> (-> $$unsorted Bool) Bool))) (not (forall ((A (-> $$unsorted Bool))) (or (not (@ G A)) (not (forall ((B (-> $$unsorted Bool))) (or (not (@ tptp.cF B)) (not (forall ((Xx $$unsorted)) (or (not (@ A Xx)) (@ B Xx))))))))))) _let_9))))))) (let ((_let_16 (or))) (let ((_let_17 (_let_10))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_17)) :args _let_17)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_7))) (REFL :args (_let_8)) :args _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (k_3 QUANTIFIERS_INST_ENUM)) :args (_let_9))) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_15 (PREPROCESS :args ((and _let_14 _let_13 _let_12 _let_11)))) :args ((and _let_9 _let_14 _let_13 _let_12 _let_11))) :args (0)) :args (_let_10 false _let_9)) :args (_let_8 true _let_7)))) (let ((_let_19 (_let_6))) (let ((_let_20 (REFL :args _let_19))) (let ((_let_21 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_21) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_4 k_3 BOUND_VARIABLE_620) false))))) :args _let_21))) :args _let_19) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_6 1)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) :args _let_16)) :args ((or _let_3 _let_6))) _let_18 :args (_let_3 true _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_6 0)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_2))) :args _let_16)) :args ((or _let_2 _let_6))) _let_18 :args (_let_2 true _let_6)) :args (false false _let_3 false _let_2)) :args (_let_1 true))))))))))))))))))))))))
% 0.20/0.56 )
% 0.20/0.56 % SZS output end Proof for SEV408^5
% 0.20/0.56 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------