TSTP Solution File: PUZ088^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ088^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 13:13:20 EDT 2023
% Result : Theorem 0.20s 0.62s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ088^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 21:55:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TH0
% 0.20/0.62 %------------------------------------------------------------------------------
% 0.20/0.62 % File : PUZ088^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.62 % Domain : Puzzles
% 0.20/0.62 % Problem : TPS problem THM68
% 0.20/0.62 % Version : Especial.
% 0.20/0.62 % English : If everyone likes Bruce and Lyle likes everyone who likes someone
% 0.20/0.62 % then someone likes everyone.
% 0.20/0.62
% 0.20/0.62 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.62 % Source : [Bro09]
% 0.20/0.62 % Names : tps_0122 [Bro09]
% 0.20/0.62 % : tps_0220 [Bro09]
% 0.20/0.62 % : tps_0223 [Bro09]
% 0.20/0.62 % : THM68 [TPS]
% 0.20/0.62 % : THM68A [TPS]
% 0.20/0.62 % : THM68B [TPS]
% 0.20/0.62 % : THM102 [TPS]
% 0.20/0.62
% 0.20/0.62 % Status : Theorem
% 0.20/0.62 % Rating : 0.00 v6.1.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.20/0.62 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.20/0.62 % Number of atoms : 4 ( 0 equ; 0 cnn)
% 0.20/0.62 % Maximal formula atoms : 4 ( 4 avg)
% 0.20/0.62 % Number of connectives : 11 ( 0 ~; 0 |; 1 &; 8 @)
% 0.20/0.62 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.20/0.62 % Maximal formula depth : 8 ( 8 avg)
% 0.20/0.62 % Number of types : 2 ( 0 usr)
% 0.20/0.62 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.20/0.62 % Number of symbols : 3 ( 3 usr; 2 con; 0-2 aty)
% 0.20/0.62 % Number of variables : 5 ( 0 ^; 3 !; 2 ?; 5 :)
% 0.20/0.62 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.62
% 0.20/0.62 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.62 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.62 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.62 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.62 %------------------------------------------------------------------------------
% 0.20/0.62 thf(cLIKES,type,
% 0.20/0.62 cLIKES: $i > $i > $o ).
% 0.20/0.62
% 0.20/0.62 thf(cLYLE,type,
% 0.20/0.62 cLYLE: $i ).
% 0.20/0.62
% 0.20/0.62 thf(cBRUCE,type,
% 0.20/0.62 cBRUCE: $i ).
% 0.20/0.62
% 0.20/0.62 thf(cTHM68A,conjecture,
% 0.20/0.62 ( ( ! [X: $i] : ( cLIKES @ X @ cBRUCE )
% 0.20/0.62 & ! [Y: $i] :
% 0.20/0.62 ( ? [Z: $i] : ( cLIKES @ Y @ Z )
% 0.20/0.62 => ( cLIKES @ cLYLE @ Y ) ) )
% 0.20/0.62 => ? [U: $i] :
% 0.20/0.62 ! [V: $i] : ( cLIKES @ U @ V ) ) ).
% 0.20/0.62
% 0.20/0.62 %------------------------------------------------------------------------------
% 0.20/0.62 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Hplcw9GgNO/cvc5---1.0.5_16381.p...
% 0.20/0.62 (declare-sort $$unsorted 0)
% 0.20/0.62 (declare-fun tptp.cLIKES ($$unsorted $$unsorted) Bool)
% 0.20/0.62 (declare-fun tptp.cLYLE () $$unsorted)
% 0.20/0.62 (declare-fun tptp.cBRUCE () $$unsorted)
% 0.20/0.62 (assert (not (=> (and (forall ((X $$unsorted)) (@ (@ tptp.cLIKES X) tptp.cBRUCE)) (forall ((Y $$unsorted)) (=> (exists ((Z $$unsorted)) (@ (@ tptp.cLIKES Y) Z)) (@ (@ tptp.cLIKES tptp.cLYLE) Y)))) (exists ((U $$unsorted)) (forall ((V $$unsorted)) (@ (@ tptp.cLIKES U) V))))))
% 0.20/0.62 (set-info :filename cvc5---1.0.5_16381)
% 0.20/0.62 (check-sat-assuming ( true ))
% 0.20/0.62 ------- get file name : TPTP file name is PUZ088^5
% 0.20/0.62 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16381.smt2...
% 0.20/0.62 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.62 % SZS status Theorem for PUZ088^5
% 0.20/0.62 % SZS output start Proof for PUZ088^5
% 0.20/0.62 (
% 0.20/0.62 (let ((_let_1 (forall ((X $$unsorted)) (@ (@ tptp.cLIKES X) tptp.cBRUCE)))) (let ((_let_2 (not (=> (and _let_1 (forall ((Y $$unsorted)) (=> (exists ((Z $$unsorted)) (@ (@ tptp.cLIKES Y) Z)) (@ (@ tptp.cLIKES tptp.cLYLE) Y)))) (exists ((U $$unsorted)) (forall ((V $$unsorted)) (@ (@ tptp.cLIKES U) V))))))) (let ((_let_3 (forall ((Y $$unsorted) (BOUND_VARIABLE_612 $$unsorted)) (or (not (ho_4 (ho_3 k_2 Y) BOUND_VARIABLE_612)) (ho_4 (ho_3 k_2 tptp.cLYLE) Y))))) (let ((_let_4 (ho_4 (ho_3 k_2 tptp.cLYLE) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_5 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58) tptp.cBRUCE))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (0))) (let ((_let_9 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_10 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_11 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_12 (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_13 (forall ((U $$unsorted)) (not (forall ((V $$unsorted)) (ho_4 (ho_3 k_2 U) V)))))) (let ((_let_14 (forall ((X $$unsorted)) (ho_4 (ho_3 k_2 X) tptp.cBRUCE)))) (let ((_let_15 (not (=> (and _let_14 _let_3) (not _let_13))))) (let ((_let_16 (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (=> (and _let_1 (forall ((Y $$unsorted) (BOUND_VARIABLE_612 $$unsorted)) (or (not (@ (@ tptp.cLIKES Y) BOUND_VARIABLE_612)) (@ (@ tptp.cLIKES tptp.cLYLE) Y)))) (not (forall ((U $$unsorted)) (not (forall ((V $$unsorted)) (@ (@ tptp.cLIKES U) V))))))) _let_15))))) (PREPROCESS :args ((and _let_12 _let_11 _let_10 _let_9)))) :args ((and _let_15 _let_12 _let_11 _let_10 _let_9))) :args _let_8))) (let ((_let_17 (NOT_IMPLIES_ELIM1 _let_16))) (let ((_let_18 (not _let_7))) (let ((_let_19 (_let_14))) (let ((_let_20 (forall ((V $$unsorted)) (ho_4 (ho_3 k_2 tptp.cLYLE) V)))) (let ((_let_21 (not _let_4))) (let ((_let_22 (not _let_20))) (let ((_let_23 (_let_13))) (let ((_let_24 (_let_22))) (let ((_let_25 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_25) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 tptp.cBRUCE QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_4 _let_6 _let_18))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_24)) :args _let_24)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_20))) (REFL :args (_let_21)) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_23) :args (tptp.cLYLE QUANTIFIERS_INST_ENUM)) :args _let_23)) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_16)) :args (_let_22 false _let_13)) :args (_let_21 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_19) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_3 k_2 X)))) :args _let_19)) (AND_ELIM _let_17 :args _let_8) :args (_let_5 false _let_14)) :args (_let_18 true _let_4 false _let_5)) (AND_ELIM _let_17 :args (1)) :args (false true _let_7 false _let_3)) :args (_let_2 true))))))))))))))))))))))))))))
% 0.20/0.63 )
% 0.20/0.63 % SZS output end Proof for PUZ088^5
% 0.20/0.63 % cvc5---1.0.5 exiting
% 0.20/0.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------