TSTP Solution File: SEV410^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV410^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 0.23s 0.56s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEV410^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n008.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 24 02:18:03 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.52 %----Proving TH0
% 0.23/0.56 %------------------------------------------------------------------------------
% 0.23/0.56 % File : SEV410^5 : TPTP v8.1.2. Released v4.0.0.
% 0.23/0.56 % Domain : Set Theory
% 0.23/0.56 % Problem : TPS problem from SETS-THMS
% 0.23/0.56 % Version : Especial.
% 0.23/0.56 % English :
% 0.23/0.56
% 0.23/0.56 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.23/0.56 % Source : [Bro09]
% 0.23/0.56 % Names : tps_0790 [Bro09]
% 0.23/0.56
% 0.23/0.56 % Status : Theorem
% 0.23/0.56 % Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v7.3.0, 0.10 v7.2.0, 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v5.5.0, 0.20 v5.4.0, 0.25 v4.1.0, 0.33 v4.0.0
% 0.23/0.56 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.23/0.56 % Number of atoms : 5 ( 0 equ; 0 cnn)
% 0.23/0.56 % Maximal formula atoms : 5 ( 5 avg)
% 0.23/0.56 % Number of connectives : 10 ( 0 ~; 1 |; 1 &; 6 @)
% 0.23/0.56 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.23/0.56 % Maximal formula depth : 7 ( 7 avg)
% 0.23/0.56 % Number of types : 2 ( 0 usr)
% 0.23/0.56 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.23/0.56 % Number of symbols : 3 ( 3 usr; 0 con; 1-1 aty)
% 0.23/0.56 % Number of variables : 3 ( 1 ^; 1 !; 1 ?; 3 :)
% 0.23/0.56 % SPC : TH0_THM_NEQ_NAR
% 0.23/0.56
% 0.23/0.56 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.23/0.56 % project in the Department of Mathematical Sciences at Carnegie
% 0.23/0.56 % Mellon University. Distributed under the Creative Commons copyleft
% 0.23/0.56 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.23/0.56 %------------------------------------------------------------------------------
% 0.23/0.56 thf(cA,type,
% 0.23/0.56 cA: $i > $o ).
% 0.23/0.56
% 0.23/0.56 thf(cP,type,
% 0.23/0.56 cP: ( $i > $o ) > $o ).
% 0.23/0.56
% 0.23/0.56 thf(cB,type,
% 0.23/0.56 cB: $i > $o ).
% 0.23/0.56
% 0.23/0.56 thf(cSV1_pme,conjecture,
% 0.23/0.56 ( ( cP
% 0.23/0.56 @ ^ [Xx: $i] :
% 0.23/0.56 ( ( cA @ Xx )
% 0.23/0.56 | ( cB @ Xx ) ) )
% 0.23/0.56 => ? [Xu: $i > $o] :
% 0.23/0.56 ( ( cP @ Xu )
% 0.23/0.56 & ! [Xx: $i] :
% 0.23/0.56 ( ( cA @ Xx )
% 0.23/0.56 => ( Xu @ Xx ) ) ) ) ).
% 0.23/0.56
% 0.23/0.56 %------------------------------------------------------------------------------
% 0.23/0.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3Gn4cauZbw/cvc5---1.0.5_6797.p...
% 0.23/0.56 (declare-sort $$unsorted 0)
% 0.23/0.56 (declare-fun tptp.cA ($$unsorted) Bool)
% 0.23/0.56 (declare-fun tptp.cP ((-> $$unsorted Bool)) Bool)
% 0.23/0.56 (declare-fun tptp.cB ($$unsorted) Bool)
% 0.23/0.56 (assert (not (=> (@ tptp.cP (lambda ((Xx $$unsorted)) (or (@ tptp.cA Xx) (@ tptp.cB Xx)))) (exists ((Xu (-> $$unsorted Bool))) (and (@ tptp.cP Xu) (forall ((Xx $$unsorted)) (=> (@ tptp.cA Xx) (@ Xu Xx))))))))
% 0.23/0.56 (set-info :filename cvc5---1.0.5_6797)
% 0.23/0.56 (check-sat-assuming ( true ))
% 0.23/0.56 ------- get file name : TPTP file name is SEV410^5
% 0.23/0.56 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6797.smt2...
% 0.23/0.56 --- Run --ho-elim --full-saturate-quant at 10...
% 0.23/0.56 % SZS status Theorem for SEV410^5
% 0.23/0.56 % SZS output start Proof for SEV410^5
% 0.23/0.56 (
% 0.23/0.56 (let ((_let_1 (@ tptp.cP (lambda ((Xx $$unsorted)) (or (@ tptp.cA Xx) (@ tptp.cB Xx)))))) (let ((_let_2 (not (=> _let_1 (exists ((Xu (-> $$unsorted Bool))) (and (@ tptp.cP Xu) (forall ((Xx $$unsorted)) (=> (@ tptp.cA Xx) (@ Xu Xx))))))))) (let ((_let_3 (ho_4 k_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_4 (ho_4 k_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_5 (or _let_4 (ho_4 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_6 (= _let_3 _let_5))) (let ((_let_7 (not _let_4))) (let ((_let_8 (or _let_7 _let_3))) (let ((_let_9 (forall ((Xx $$unsorted)) (or (not (ho_4 k_6 Xx)) (ho_4 k_3 Xx))))) (let ((_let_10 (not _let_8))) (let ((_let_11 (not _let_9))) (let ((_let_12 (ho_8 k_7 k_3))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11))) (let ((_let_15 (forall ((BOUND_VARIABLE_649 |u_(-> $$unsorted Bool)|)) (or (not (ho_8 k_7 BOUND_VARIABLE_649)) (not (forall ((Xx $$unsorted)) (or (not (ho_4 k_6 Xx)) (ho_4 BOUND_VARIABLE_649 Xx)))))))) (let ((_let_16 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_17 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_18 (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_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_19 (forall ((x |u_(-> _u_(-> $$unsorted Bool)_ Bool)|) (y |u_(-> _u_(-> $$unsorted Bool)_ Bool)|)) (or (not (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_20 (forall ((BOUND_VARIABLE_625 $$unsorted)) (= (ho_4 k_3 BOUND_VARIABLE_625) (or (ho_4 k_6 BOUND_VARIABLE_625) (ho_4 k_5 BOUND_VARIABLE_625)))))) (let ((_let_21 (not (=> _let_12 (not _let_15))))) (let ((_let_22 (forall ((BOUND_VARIABLE_625 $$unsorted)) (= (or (@ tptp.cA BOUND_VARIABLE_625) (@ tptp.cB BOUND_VARIABLE_625)) (ll_2 BOUND_VARIABLE_625))))) (let ((_let_23 (not (forall ((Xu (-> $$unsorted Bool))) (or (not (@ tptp.cP Xu)) (not (forall ((Xx $$unsorted)) (or (not (@ tptp.cA Xx)) (@ Xu Xx))))))))) (let ((_let_24 (not (=> (@ tptp.cP ll_2) _let_23)))) (let ((_let_25 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (=> _let_1 _let_23)) _let_24))))) (PREPROCESS :args (_let_22))) (PREPROCESS :args ((= (and _let_24 _let_22) (and _let_21 _let_20))))) (PREPROCESS :args ((and _let_19 _let_18 _let_17 _let_16)))) :args ((and _let_21 _let_20 _let_19 _let_18 _let_17 _let_16))))) (let ((_let_26 (AND_ELIM _let_25 :args (0)))) (let ((_let_27 (_let_15))) (let ((_let_28 (or))) (let ((_let_29 (_let_11))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_29)) :args _let_29)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_9))) (REFL :args (_let_10)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_11 (not _let_14)))) (NOT_IMPLIES_ELIM1 _let_26) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_27) :args (k_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_8 k_7 BOUND_VARIABLE_649) false))))) :args _let_27)) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_26)) :args (_let_14 false _let_15)) :args (_let_11 false _let_12 false _let_14)) :args (_let_10 true _let_9)))) (let ((_let_31 (_let_20))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_6)) :args ((or _let_3 (not _let_5) (not _let_6)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_31) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_31)) (AND_ELIM _let_25 :args (1)) :args (_let_6 false _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_5 0)) :args ((or _let_7 _let_5))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_8 0)) (CONG (REFL :args (_let_8)) (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_4))) :args _let_28)) :args ((or _let_4 _let_8))) _let_30 :args (_let_4 true _let_8)) :args (_let_5 false _let_4)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_8 1)) _let_30 :args ((not _let_3) true _let_8)) :args (false false _let_6 false _let_5 true _let_3)) :args (_let_2 true))))))))))))))))))))))))))))))))))
% 0.23/0.56 )
% 0.23/0.56 % SZS output end Proof for SEV410^5
% 0.23/0.56 % cvc5---1.0.5 exiting
% 0.23/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------