TSTP Solution File: SEV043^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV043^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 19:21:24 EDT 2023
% Result : Theorem 0.23s 0.54s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV043^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 04:00:59 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.23/0.50 %----Proving TH0
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 % File : SEV043^5 : TPTP v8.1.2. Released v4.0.0.
% 0.23/0.54 % Domain : Set Theory (Relations)
% 0.23/0.54 % Problem : TPS problem from PERS-THMS
% 0.23/0.54 % Version : Especial.
% 0.23/0.54 % English :
% 0.23/0.54
% 0.23/0.54 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.23/0.54 % Source : [Bro09]
% 0.23/0.54 % Names : tps_0912 [Bro09]
% 0.23/0.54
% 0.23/0.54 % Status : Theorem
% 0.23/0.54 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v5.2.0, 0.25 v5.1.0, 0.50 v5.0.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.23/0.54 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.23/0.54 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.23/0.54 % Maximal formula atoms : 0 ( 0 avg)
% 0.23/0.54 % Number of connectives : 20 ( 0 ~; 0 |; 2 &; 14 @)
% 0.23/0.54 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.23/0.54 % Maximal formula depth : 11 ( 11 avg)
% 0.23/0.54 % Number of types : 2 ( 1 usr)
% 0.23/0.54 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.23/0.54 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.23/0.54 % Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% 0.23/0.54 % SPC : TH0_THM_NEQ_NAR
% 0.23/0.54
% 0.23/0.54 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.23/0.54 % project in the Department of Mathematical Sciences at Carnegie
% 0.23/0.54 % Mellon University. Distributed under the Creative Commons copyleft
% 0.23/0.54 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 thf(a_type,type,
% 0.23/0.54 a: $tType ).
% 0.23/0.54
% 0.23/0.54 thf(cTHM510_pme,conjecture,
% 0.23/0.54 ! [Xp: a > a > $o] :
% 0.23/0.54 ( ( ! [Xx: a,Xy: a] :
% 0.23/0.54 ( ( Xp @ Xx @ Xy )
% 0.23/0.54 => ( Xp @ Xy @ Xx ) )
% 0.23/0.54 & ! [Xx: a,Xy: a,Xz: a] :
% 0.23/0.54 ( ( ( Xp @ Xx @ Xy )
% 0.23/0.54 & ( Xp @ Xy @ Xz ) )
% 0.23/0.54 => ( Xp @ Xx @ Xz ) ) )
% 0.23/0.54 => ! [Xx: a,Xy: a] :
% 0.23/0.54 ( ( Xp @ Xx @ Xy )
% 0.23/0.54 => ( Xp @ Xx @ Xx ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.HiJSXt7gig/cvc5---1.0.5_24396.p...
% 0.23/0.54 (declare-sort $$unsorted 0)
% 0.23/0.54 (declare-sort tptp.a 0)
% 0.23/0.54 (assert (not (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ Xp Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (and (@ _let_1 Xy) (@ (@ Xp Xy) Xz)) (@ _let_1 Xz))))) (forall ((Xx tptp.a) (Xy tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (@ _let_1 Xy) (@ _let_1 Xx))))))))
% 0.23/0.54 (set-info :filename cvc5---1.0.5_24396)
% 0.23/0.54 (check-sat-assuming ( true ))
% 0.23/0.54 ------- get file name : TPTP file name is SEV043^5
% 0.23/0.54 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24396.smt2...
% 0.23/0.54 --- Run --ho-elim --full-saturate-quant at 10...
% 0.23/0.54 % SZS status Theorem for SEV043^5
% 0.23/0.54 % SZS output start Proof for SEV043^5
% 0.23/0.54 (
% 0.23/0.54 (let ((_let_1 (not (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ Xp Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (and (@ _let_1 Xy) (@ (@ Xp Xy) Xz)) (@ _let_1 Xz))))) (forall ((Xx tptp.a) (Xy tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (@ _let_1 Xy) (@ _let_1 Xx))))))))) (let ((_let_2 (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx))) (or (not (ho_3 _let_1 Xy)) (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xy) Xz)) (ho_3 _let_1 Xz)))))) (let ((_let_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_4 (ho_3 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_5 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (not _let_5))) (let ((_let_7 (ho_3 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (not _let_7))) (let ((_let_9 (or _let_8 _let_6 _let_4))) (let ((_let_10 (not _let_2))) (let ((_let_11 (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx) Xy)) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xy) Xx))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10 _let_8 _let_4))) (let ((_let_14 (forall ((BOUND_VARIABLE_648 |u_(-> tptp.a tptp.a Bool)|) (BOUND_VARIABLE_634 tptp.a) (BOUND_VARIABLE_632 tptp.a)) (let ((_let_1 (ho_2 BOUND_VARIABLE_648 BOUND_VARIABLE_632))) (or (not (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_3 (ho_2 BOUND_VARIABLE_648 Xx) Xy)) (ho_3 (ho_2 BOUND_VARIABLE_648 Xy) Xx)))) (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_2 BOUND_VARIABLE_648 Xx))) (or (not (ho_3 _let_1 Xy)) (not (ho_3 (ho_2 BOUND_VARIABLE_648 Xy) Xz)) (ho_3 _let_1 Xz))))) (not (ho_3 _let_1 BOUND_VARIABLE_634)) (ho_3 _let_1 BOUND_VARIABLE_632)))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (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_17 (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_18 (forall ((u |u_(-> tptp.a tptp.a Bool)|) (e |u_(-> tptp.a Bool)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii)))))))))) (let ((_let_19 (forall ((x |u_(-> tptp.a tptp.a Bool)|) (y |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_2 x z) (ho_2 y z)))) (= x y))))) (let ((_let_20 (not _let_14))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((Xp (-> tptp.a tptp.a Bool)) (BOUND_VARIABLE_634 tptp.a) (BOUND_VARIABLE_632 tptp.a)) (let ((_let_1 (@ Xp BOUND_VARIABLE_632))) (or (not (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (@ (@ Xp Xx) Xy)) (@ (@ Xp Xy) Xx)))) (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (or (not (@ _let_1 Xy)) (not (@ (@ Xp Xy) Xz)) (@ _let_1 Xz))))) (not (@ _let_1 BOUND_VARIABLE_634)) (@ _let_1 BOUND_VARIABLE_632))))) _let_20))))))) (let ((_let_22 (or))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args (_let_20))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_14))) (REFL :args (_let_15)) :args _let_22)) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_21 (PREPROCESS :args ((and _let_19 _let_18 _let_17 _let_16)))) :args ((and _let_20 _let_19 _let_18 _let_17 _let_16))) :args (0)) :args (_let_15 true _let_14)))) (let ((_let_24 (REFL :args (_let_13)))) (let ((_let_25 (not _let_9))) (let ((_let_26 (or _let_8 _let_5))) (let ((_let_27 (_let_11))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 2)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_22)) :args ((or _let_7 _let_13))) _let_23 :args (_let_7 true _let_13)))) (let ((_let_29 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_8 _let_4 _let_6 _let_25))) _let_28 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 3)) _let_23 :args ((not _let_4) true _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_8 _let_5 (not _let_26)))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_27) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx) Xy) false))))) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_22)) :args ((or _let_11 _let_13))) _let_23 :args (_let_11 true _let_13)) :args (_let_26 false _let_11)) :args (_let_5 false _let_7 false _let_26)) :args (_let_25 false _let_7 true _let_4 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 1)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_2))) :args _let_22)) :args ((or _let_2 _let_13))) _let_23 :args (_let_2 true _let_13)) :args (false true _let_9 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))
% 0.23/0.54 )
% 0.23/0.54 % SZS output end Proof for SEV043^5
% 0.23/0.54 % cvc5---1.0.5 exiting
% 0.23/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------