TSTP Solution File: SEV240^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV240^5 : 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 : Thu Aug 31 19:21:58 EDT 2023
% Result : Theorem 0.17s 0.49s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV240^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n025.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 03:01:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.17/0.46 %----Proving TH0
% 0.17/0.49 %------------------------------------------------------------------------------
% 0.17/0.49 % File : SEV240^5 : TPTP v8.1.2. Released v4.0.0.
% 0.17/0.49 % Domain : Set Theory (Sets of sets)
% 0.17/0.49 % Problem : TPS problem from SETS-OF-SETS-THMS
% 0.17/0.49 % Version : Especial.
% 0.17/0.49 % English :
% 0.17/0.49
% 0.17/0.49 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.17/0.49 % Source : [Bro09]
% 0.17/0.49 % Names : tps_0748 [Bro09]
% 0.17/0.49
% 0.17/0.49 % Status : Theorem
% 0.17/0.49 % Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.17/0.49 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.17/0.49 % Number of atoms : 2 ( 0 equ; 0 cnn)
% 0.17/0.49 % Maximal formula atoms : 2 ( 2 avg)
% 0.17/0.49 % Number of connectives : 7 ( 0 ~; 0 |; 1 &; 4 @)
% 0.17/0.49 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.17/0.49 % Maximal formula depth : 8 ( 8 avg)
% 0.17/0.49 % Number of types : 2 ( 1 usr)
% 0.17/0.49 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.17/0.49 % Number of symbols : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.17/0.49 % Number of variables : 3 ( 0 ^; 2 !; 1 ?; 3 :)
% 0.17/0.49 % SPC : TH0_THM_NEQ_NAR
% 0.17/0.49
% 0.17/0.49 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.17/0.49 % project in the Department of Mathematical Sciences at Carnegie
% 0.17/0.49 % Mellon University. Distributed under the Creative Commons copyleft
% 0.17/0.49 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.17/0.49 %------------------------------------------------------------------------------
% 0.17/0.49 thf(a_type,type,
% 0.17/0.49 a: $tType ).
% 0.17/0.49
% 0.17/0.49 thf(cA,type,
% 0.17/0.49 cA: ( a > $o ) > $o ).
% 0.17/0.49
% 0.17/0.49 thf(cDOMTHM1_pme,conjecture,
% 0.17/0.49 ! [Xx: a > $o] :
% 0.17/0.49 ( ( cA @ Xx )
% 0.17/0.49 => ! [Xx0: a] :
% 0.17/0.49 ( ( Xx @ Xx0 )
% 0.17/0.49 => ? [S: a > $o] :
% 0.17/0.49 ( ( cA @ S )
% 0.17/0.49 & ( S @ Xx0 ) ) ) ) ).
% 0.17/0.49
% 0.17/0.49 %------------------------------------------------------------------------------
% 0.17/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.X880ojymUx/cvc5---1.0.5_30108.p...
% 0.17/0.49 (declare-sort $$unsorted 0)
% 0.17/0.49 (declare-sort tptp.a 0)
% 0.17/0.49 (declare-fun tptp.cA ((-> tptp.a Bool)) Bool)
% 0.17/0.49 (assert (not (forall ((Xx (-> tptp.a Bool))) (=> (@ tptp.cA Xx) (forall ((Xx0 tptp.a)) (=> (@ Xx Xx0) (exists ((S (-> tptp.a Bool))) (and (@ tptp.cA S) (@ S Xx0)))))))))
% 0.17/0.49 (set-info :filename cvc5---1.0.5_30108)
% 0.17/0.49 (check-sat-assuming ( true ))
% 0.17/0.49 ------- get file name : TPTP file name is SEV240^5
% 0.17/0.49 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30108.smt2...
% 0.17/0.49 --- Run --ho-elim --full-saturate-quant at 10...
% 0.17/0.49 % SZS status Theorem for SEV240^5
% 0.17/0.49 % SZS output start Proof for SEV240^5
% 0.17/0.49 (
% 0.17/0.49 (let ((_let_1 (not (forall ((Xx (-> tptp.a Bool))) (=> (@ tptp.cA Xx) (forall ((Xx0 tptp.a)) (=> (@ Xx Xx0) (exists ((S (-> tptp.a Bool))) (and (@ tptp.cA S) (@ S Xx0)))))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_629 |u_(-> tptp.a Bool)|)) (or (not (ho_4 k_3 BOUND_VARIABLE_629)) (not (ho_2 BOUND_VARIABLE_629 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_4 (not _let_3))) (let ((_let_5 (ho_4 k_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (not _let_2))) (let ((_let_9 (or _let_6 _let_4 _let_8))) (let ((_let_10 (forall ((BOUND_VARIABLE_645 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_612 tptp.a)) (or (not (ho_4 k_3 BOUND_VARIABLE_645)) (not (ho_2 BOUND_VARIABLE_645 BOUND_VARIABLE_612)) (not (forall ((BOUND_VARIABLE_629 |u_(-> tptp.a Bool)|)) (or (not (ho_4 k_3 BOUND_VARIABLE_629)) (not (ho_2 BOUND_VARIABLE_629 BOUND_VARIABLE_612))))))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii)))))))))) (let ((_let_13 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_2 x z) (ho_2 y z)))) (= x y))))) (let ((_let_14 (forall ((u |u_(-> _u_(-> tptp.a Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.a Bool)|)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_15 (forall ((x |u_(-> _u_(-> tptp.a Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.a Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.a Bool)|)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_16 (not _let_10))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((Xx (-> tptp.a Bool)) (BOUND_VARIABLE_612 tptp.a)) (or (not (@ tptp.cA Xx)) (not (@ Xx BOUND_VARIABLE_612)) (not (forall ((S (-> tptp.a Bool))) (or (not (@ tptp.cA S)) (not (@ S BOUND_VARIABLE_612)))))))) _let_16))))))) (let ((_let_18 (or))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_16))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_10))) (REFL :args (_let_11)) :args _let_18)) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_17 (PREPROCESS :args ((and _let_15 _let_14 _let_13 _let_12)))) :args ((and _let_16 _let_15 _let_14 _let_13 _let_12))) :args (0)) :args (_let_11 true _let_10)))) (let ((_let_20 (REFL :args (_let_9)))) (let ((_let_21 (not _let_7))) (let ((_let_22 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_22) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_4 _let_21))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 0)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_18)) :args ((or _let_5 _let_9))) _let_19 :args (_let_5 true _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 1)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) :args _let_18)) :args ((or _let_3 _let_9))) _let_19 :args (_let_3 true _let_9)) :args (_let_21 false _let_5 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 2)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_2))) :args _let_18)) :args ((or _let_2 _let_9))) _let_19 :args (_let_2 true _let_9)) :args (false true _let_7 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))
% 0.17/0.49 )
% 0.17/0.49 % SZS output end Proof for SEV240^5
% 0.17/0.49 % cvc5---1.0.5 exiting
% 0.17/0.49 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------