TSTP Solution File: PUZ113^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ113^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 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 13:13:25 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ113^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Sat Aug 26 22:50:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.49 %----Proving TH0
% 0.20/0.54 %------------------------------------------------------------------------------
% 0.20/0.54 % File : PUZ113^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.20/0.54 % Domain : Puzzles
% 0.20/0.54 % Problem : TPS problem from CHECKERBOARD-THMS
% 0.20/0.54 % Version : Especial.
% 0.20/0.54 % English :
% 0.20/0.54
% 0.20/0.54 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.54 % Source : [Bro09]
% 0.20/0.54 % Names : tps_0704 [Bro09]
% 0.20/0.54
% 0.20/0.54 % Status : Theorem
% 0.20/0.54 % Rating : 0.23 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.00 v6.1.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.2.0
% 0.20/0.54 % Syntax : Number of formulae : 5 ( 1 unt; 3 typ; 1 def)
% 0.20/0.54 % Number of atoms : 4 ( 1 equ; 0 cnn)
% 0.20/0.54 % Maximal formula atoms : 2 ( 2 avg)
% 0.20/0.54 % Number of connectives : 27 ( 0 ~; 0 |; 2 &; 22 @)
% 0.20/0.54 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.20/0.54 % Maximal formula depth : 8 ( 5 avg)
% 0.20/0.54 % Number of types : 2 ( 0 usr)
% 0.20/0.54 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.20/0.54 % Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% 0.20/0.54 % Number of variables : 7 ( 2 ^; 5 !; 0 ?; 7 :)
% 0.20/0.54 % SPC : TH0_THM_EQU_NAR
% 0.20/0.54
% 0.20/0.54 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.54 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.54 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.54 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.54 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.20/0.54 %------------------------------------------------------------------------------
% 0.20/0.54 thf(c1_type,type,
% 0.20/0.54 c1: $i ).
% 0.20/0.54
% 0.20/0.54 thf(s_type,type,
% 0.20/0.54 s: $i > $i ).
% 0.20/0.54
% 0.20/0.54 thf(cCKB6_BLACK_type,type,
% 0.20/0.54 cCKB6_BLACK: $i > $i > $o ).
% 0.20/0.54
% 0.20/0.54 thf(cCKB6_BLACK_def,definition,
% 0.20/0.54 ( cCKB6_BLACK
% 0.20/0.54 = ( ^ [Xu: $i,Xv: $i] :
% 0.20/0.54 ! [Xw: $i > $i > $o] :
% 0.20/0.54 ( ( ( Xw @ c1 @ c1 )
% 0.20/0.54 & ! [Xj: $i,Xk: $i] :
% 0.20/0.54 ( ( Xw @ Xj @ Xk )
% 0.20/0.54 => ( ( Xw @ ( s @ ( s @ Xj ) ) @ Xk )
% 0.20/0.54 & ( Xw @ ( s @ Xj ) @ ( s @ Xk ) ) ) ) )
% 0.20/0.54 => ( Xw @ Xu @ Xv ) ) ) ) ).
% 0.20/0.54
% 0.20/0.54 thf(cCKB6_L11000,conjecture,
% 0.20/0.54 ! [Xj: $i,Xk: $i] :
% 0.20/0.54 ( ( cCKB6_BLACK @ Xj @ Xk )
% 0.20/0.54 => ( cCKB6_BLACK @ ( s @ ( s @ Xj ) ) @ ( s @ ( s @ Xk ) ) ) ) ).
% 0.20/0.54
% 0.20/0.54 %------------------------------------------------------------------------------
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Mact0NG7NT/cvc5---1.0.5_6800.p...
% 0.20/0.54 (declare-sort $$unsorted 0)
% 0.20/0.54 (declare-fun tptp.c1 () $$unsorted)
% 0.20/0.54 (declare-fun tptp.s ($$unsorted) $$unsorted)
% 0.20/0.54 (declare-fun tptp.cCKB6_BLACK ($$unsorted $$unsorted) Bool)
% 0.20/0.54 (assert (= tptp.cCKB6_BLACK (lambda ((Xu $$unsorted) (Xv $$unsorted)) (forall ((Xw (-> $$unsorted $$unsorted Bool))) (=> (and (@ (@ Xw tptp.c1) tptp.c1) (forall ((Xj $$unsorted) (Xk $$unsorted)) (let ((_let_1 (@ tptp.s Xj))) (=> (@ (@ Xw Xj) Xk) (and (@ (@ Xw (@ tptp.s _let_1)) Xk) (@ (@ Xw _let_1) (@ tptp.s Xk))))))) (@ (@ Xw Xu) Xv))))))
% 0.20/0.54 (assert (not (forall ((Xj $$unsorted) (Xk $$unsorted)) (=> (@ (@ tptp.cCKB6_BLACK Xj) Xk) (@ (@ tptp.cCKB6_BLACK (@ tptp.s (@ tptp.s Xj))) (@ tptp.s (@ tptp.s Xk)))))))
% 0.20/0.54 (set-info :filename cvc5---1.0.5_6800)
% 0.20/0.54 (check-sat-assuming ( true ))
% 0.20/0.54 ------- get file name : TPTP file name is PUZ113^5
% 0.20/0.54 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6800.smt2...
% 0.20/0.54 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Theorem for PUZ113^5
% 0.20/0.54 % SZS output start Proof for PUZ113^5
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (forall ((Xj $$unsorted) (Xk $$unsorted)) (=> (@ (@ tptp.cCKB6_BLACK Xj) Xk) (@ (@ tptp.cCKB6_BLACK (@ tptp.s (@ tptp.s Xj))) (@ tptp.s (@ tptp.s Xk)))))))) (let ((_let_2 (= tptp.cCKB6_BLACK (lambda ((Xu $$unsorted) (Xv $$unsorted)) (forall ((Xw (-> $$unsorted $$unsorted Bool))) (=> (and (@ (@ Xw tptp.c1) tptp.c1) (forall ((Xj $$unsorted) (Xk $$unsorted)) (let ((_let_1 (@ tptp.s Xj))) (=> (@ (@ Xw Xj) Xk) (and (@ (@ Xw (@ tptp.s _let_1)) Xk) (@ (@ Xw _let_1) (@ tptp.s Xk))))))) (@ (@ Xw Xu) Xv))))))) (let ((_let_3 (ho_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_5 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (ho_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_5) _let_4))) (let ((_let_7 (ho_3 k_2 _let_5))) (let ((_let_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_7))) (let ((_let_9 (and (ho_5 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_6))) (let ((_let_10 (not _let_3))) (let ((_let_11 (or _let_10 _let_9))) (let ((_let_12 (forall ((Xj $$unsorted) (Xk $$unsorted)) (let ((_let_1 (ho_3 k_2 Xj))) (or (not (ho_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xj) Xk)) (and (ho_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (ho_3 k_2 _let_1)) Xk) (ho_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_1) (ho_3 k_2 Xk)))))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (ho_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.c1) tptp.c1))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_3))) (let ((_let_17 (forall ((BOUND_VARIABLE_734 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (ho_5 (ho_4 BOUND_VARIABLE_734 tptp.c1) tptp.c1)) (not (forall ((Xj $$unsorted) (Xk $$unsorted)) (let ((_let_1 (ho_3 k_2 Xj))) (or (not (ho_5 (ho_4 BOUND_VARIABLE_734 Xj) Xk)) (and (ho_5 (ho_4 BOUND_VARIABLE_734 (ho_3 k_2 _let_1)) Xk) (ho_5 (ho_4 BOUND_VARIABLE_734 _let_1) (ho_3 k_2 Xk))))))) (ho_5 (ho_4 BOUND_VARIABLE_734 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_18 (ho_5 _let_8 (ho_3 k_2 _let_4)))) (let ((_let_19 (not _let_17))) (let ((_let_20 (or _let_19 _let_15 _let_13 _let_18))) (let ((_let_21 (forall ((Xj $$unsorted) (Xk $$unsorted) (BOUND_VARIABLE_709 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((BOUND_VARIABLE_734 |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (ho_5 (ho_4 BOUND_VARIABLE_734 tptp.c1) tptp.c1)) (not (forall ((Xj $$unsorted) (Xk $$unsorted)) (let ((_let_1 (ho_3 k_2 Xj))) (or (not (ho_5 (ho_4 BOUND_VARIABLE_734 Xj) Xk)) (and (ho_5 (ho_4 BOUND_VARIABLE_734 (ho_3 k_2 _let_1)) Xk) (ho_5 (ho_4 BOUND_VARIABLE_734 _let_1) (ho_3 k_2 Xk))))))) (ho_5 (ho_4 BOUND_VARIABLE_734 Xj) Xk)))) (not (ho_5 (ho_4 BOUND_VARIABLE_709 tptp.c1) tptp.c1)) (not (forall ((Xj $$unsorted) (Xk $$unsorted)) (let ((_let_1 (ho_3 k_2 Xj))) (or (not (ho_5 (ho_4 BOUND_VARIABLE_709 Xj) Xk)) (and (ho_5 (ho_4 BOUND_VARIABLE_709 (ho_3 k_2 _let_1)) Xk) (ho_5 (ho_4 BOUND_VARIABLE_709 _let_1) (ho_3 k_2 Xk))))))) (ho_5 (ho_4 BOUND_VARIABLE_709 (ho_3 k_2 (ho_3 k_2 Xj))) (ho_3 k_2 (ho_3 k_2 Xk))))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (not _let_21))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args ((not (forall ((Xj $$unsorted) (Xk $$unsorted)) (or (not (@ (@ tptp.cCKB6_BLACK Xj) Xk)) (@ (@ tptp.cCKB6_BLACK (@ tptp.s (@ tptp.s Xj))) (@ tptp.s (@ tptp.s Xk)))))) SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((Xj $$unsorted) (Xk $$unsorted) (BOUND_VARIABLE_673 (-> $$unsorted $$unsorted Bool))) (or (not (forall ((Xw (-> $$unsorted $$unsorted Bool))) (or (not (@ (@ Xw tptp.c1) tptp.c1)) (not (forall ((Xj $$unsorted) (Xk $$unsorted)) (let ((_let_1 (@ tptp.s Xj))) (or (not (@ (@ Xw Xj) Xk)) (and (@ (@ Xw (@ tptp.s _let_1)) Xk) (@ (@ Xw _let_1) (@ tptp.s Xk))))))) (@ (@ Xw Xj) Xk)))) (not (@ (@ BOUND_VARIABLE_673 tptp.c1) tptp.c1)) (not (forall ((Xj $$unsorted) (Xk $$unsorted)) (let ((_let_1 (@ tptp.s Xj))) (or (not (@ (@ BOUND_VARIABLE_673 Xj) Xk)) (and (@ (@ BOUND_VARIABLE_673 (@ tptp.s _let_1)) Xk) (@ (@ BOUND_VARIABLE_673 _let_1) (@ tptp.s Xk))))))) (@ (@ BOUND_VARIABLE_673 (@ tptp.s (@ tptp.s Xj))) (@ tptp.s (@ tptp.s Xk)))))) _let_23))))))) (let ((_let_25 (or))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_24) :args (_let_23))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_21))) (REFL :args (_let_22)) :args _let_25)) _let_24 :args (_let_22 true _let_21)))) (let ((_let_27 (REFL :args (_let_20)))) (let ((_let_28 (_let_17))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 2)) (CONG _let_27 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_25)) :args ((or _let_12 _let_20))) _let_26 :args (_let_12 true _let_20)))) (let ((_let_30 (not _let_9))) (let ((_let_31 (and (ho_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (ho_3 k_2 _let_7)) _let_4) _let_18))) (let ((_let_32 (not _let_6))) (let ((_let_33 (or _let_32 _let_31))) (let ((_let_34 (_let_12))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (not _let_31))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_9 (not _let_11)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_34)) _let_29 :args (_let_11 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_6 _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_31 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 1)) :args ((or _let_18 _let_36))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_20 3)) _let_26 :args ((not _let_18) true _let_20)) :args (_let_36 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_5 _let_4 QUANTIFIERS_INST_E_MATCHING ((ho_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (ho_3 k_2 Xj)) (ho_3 k_2 Xk))))) :args _let_34)) _let_29 :args (_let_33 false _let_12)) :args (_let_32 true _let_31 false _let_33)) :args (_let_30 true _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_13 _let_3 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG _let_27 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_25)) :args ((or _let_14 _let_20))) _let_26 :args (_let_14 true _let_20)) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_28) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_4 BOUND_VARIABLE_734 tptp.c1)))) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG _let_27 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_17))) :args _let_25)) :args ((or _let_17 _let_20))) _let_26 :args (_let_17 true _let_20)) :args (_let_16 false _let_17)) :args (_let_3 false _let_14 false _let_12 false _let_16)) :args (false false _let_11 true _let_9 false _let_3)) :args (_let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for PUZ113^5
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------