TSTP Solution File: PUZ140^2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ140^2 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 13:13:34 EDT 2023
% Result : Theorem 0.19s 0.52s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ140^2 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 22:13:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TH0
% 0.19/0.52 %------------------------------------------------------------------------------
% 0.19/0.52 % File : PUZ140^2 : TPTP v8.1.2. Released v6.4.0.
% 0.19/0.52 % Domain : Puzzles
% 0.19/0.52 % Problem : A mixture of coffee and syrup that is hot
% 0.19/0.52 % Version : Especial.
% 0.19/0.52 % English :
% 0.19/0.52
% 0.19/0.52 % Refs :
% 0.19/0.52 % Source : [TPTP]
% 0.19/0.52 % Names :
% 0.19/0.52
% 0.19/0.52 % Status : Theorem
% 0.19/0.52 % Rating : 0.08 v8.1.0, 0.09 v7.5.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.00 v6.4.0
% 0.19/0.52 % Syntax : Number of formulae : 9 ( 1 unt; 6 typ; 1 def)
% 0.19/0.52 % Number of atoms : 6 ( 4 equ; 0 cnn)
% 0.19/0.52 % Maximal formula atoms : 3 ( 2 avg)
% 0.19/0.52 % Number of connectives : 9 ( 0 ~; 0 |; 3 &; 6 @)
% 0.19/0.52 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.52 % Maximal formula depth : 7 ( 4 avg)
% 0.19/0.52 % Number of types : 3 ( 2 usr)
% 0.19/0.52 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.19/0.52 % Number of symbols : 5 ( 4 usr; 1 con; 0-2 aty)
% 0.19/0.52 % Number of variables : 4 ( 0 ^; 2 !; 2 ?; 4 :)
% 0.19/0.52 % SPC : TH0_THM_EQU_NAR
% 0.19/0.52
% 0.19/0.52 % Comments : This version highlights partial application
% 0.19/0.52 %------------------------------------------------------------------------------
% 0.19/0.52 thf(syrup_type,type,
% 0.19/0.52 syrup: $tType ).
% 0.19/0.52
% 0.19/0.52 thf(beverage_type,type,
% 0.19/0.52 beverage: $tType ).
% 0.19/0.52
% 0.19/0.52 thf(coffee_type,type,
% 0.19/0.52 coffee: beverage ).
% 0.19/0.52
% 0.19/0.52 thf(mix_type,type,
% 0.19/0.52 mix: beverage > syrup > beverage ).
% 0.19/0.52
% 0.19/0.52 thf(coffee_mixture_type,type,
% 0.19/0.52 coffee_mixture: syrup > beverage ).
% 0.19/0.52
% 0.19/0.52 thf(hot_type,type,
% 0.19/0.52 hot: beverage > $o ).
% 0.19/0.52
% 0.19/0.52 %----The mixture of coffee and something
% 0.19/0.52 thf(coffee_mixture_definition,definition,
% 0.19/0.52 ( coffee_mixture
% 0.19/0.52 = ( mix @ coffee ) ) ).
% 0.19/0.52
% 0.19/0.52 %----Any coffee mixture is hot coffee
% 0.19/0.52 thf(coffee_and_syrup_is_hot_coffee,axiom,
% 0.19/0.52 ! [S: syrup] :
% 0.19/0.52 ( ( ( coffee_mixture @ S )
% 0.19/0.52 = coffee )
% 0.19/0.52 & ( hot @ ( coffee_mixture @ S ) ) ) ).
% 0.19/0.52
% 0.19/0.52 %----There is some mixture of coffee and any syrup which is hot coffee
% 0.19/0.52 thf(there_is_hot_coffee,conjecture,
% 0.19/0.52 ? [SyrupMixer: syrup > beverage] :
% 0.19/0.52 ! [S: syrup] :
% 0.19/0.52 ? [B: beverage] :
% 0.19/0.52 ( ( B
% 0.19/0.52 = ( SyrupMixer @ S ) )
% 0.19/0.52 & ( B = coffee )
% 0.19/0.52 & ( hot @ B ) ) ).
% 0.19/0.52
% 0.19/0.52 %------------------------------------------------------------------------------
% 0.19/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Zw37IZ3Yuk/cvc5---1.0.5_26168.p...
% 0.19/0.52 (declare-sort $$unsorted 0)
% 0.19/0.52 (declare-sort tptp.syrup 0)
% 0.19/0.52 (declare-sort tptp.beverage 0)
% 0.19/0.52 (declare-fun tptp.coffee () tptp.beverage)
% 0.19/0.52 (declare-fun tptp.mix (tptp.beverage tptp.syrup) tptp.beverage)
% 0.19/0.52 (declare-fun tptp.coffee_mixture (tptp.syrup) tptp.beverage)
% 0.19/0.52 (declare-fun tptp.hot (tptp.beverage) Bool)
% 0.19/0.52 (assert (= tptp.coffee_mixture (@ tptp.mix tptp.coffee)))
% 0.19/0.52 (assert (forall ((S tptp.syrup)) (let ((_let_1 (@ tptp.coffee_mixture S))) (and (= _let_1 tptp.coffee) (@ tptp.hot _let_1)))))
% 0.19/0.52 (assert (not (exists ((SyrupMixer (-> tptp.syrup tptp.beverage))) (forall ((S tptp.syrup)) (exists ((B tptp.beverage)) (and (= B (@ SyrupMixer S)) (= B tptp.coffee) (@ tptp.hot B)))))))
% 0.19/0.52 (set-info :filename cvc5---1.0.5_26168)
% 0.19/0.52 (check-sat-assuming ( true ))
% 0.19/0.52 ------- get file name : TPTP file name is PUZ140^2
% 0.19/0.52 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26168.smt2...
% 0.19/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.19/0.52 % SZS status Theorem for PUZ140^2
% 0.19/0.52 % SZS output start Proof for PUZ140^2
% 0.19/0.52 (
% 0.19/0.52 (let ((_let_1 (not (exists ((SyrupMixer (-> tptp.syrup tptp.beverage))) (forall ((S tptp.syrup)) (exists ((B tptp.beverage)) (and (= B (@ SyrupMixer S)) (= B tptp.coffee) (@ tptp.hot B)))))))) (let ((_let_2 (forall ((S tptp.syrup)) (let ((_let_1 (@ tptp.coffee_mixture S))) (and (= _let_1 tptp.coffee) (@ tptp.hot _let_1)))))) (let ((_let_3 (= tptp.coffee_mixture (@ tptp.mix tptp.coffee)))) (let ((_let_4 (forall ((BOUND_VARIABLE_615 tptp.syrup)) (ho_6 k_5 (ho_4 (ho_3 k_2 tptp.coffee) BOUND_VARIABLE_615))))) (let ((_let_5 (ho_3 k_2 tptp.coffee))) (let ((_let_6 (ho_6 k_5 (ho_4 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30)))) (let ((_let_7 (forall ((BOUND_VARIABLE_609 tptp.syrup)) (= tptp.coffee (ho_4 (ho_3 k_2 tptp.coffee) BOUND_VARIABLE_609))))) (let ((_let_8 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (ASSUME :args (_let_3)) :args ((and (forall ((BOUND_VARIABLE_609 tptp.syrup)) (= tptp.coffee (@ tptp.coffee_mixture BOUND_VARIABLE_609))) (forall ((BOUND_VARIABLE_615 tptp.syrup)) (@ tptp.hot (@ tptp.coffee_mixture BOUND_VARIABLE_615)))) SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (and (forall ((BOUND_VARIABLE_609 tptp.syrup)) (= tptp.coffee (@ (@ tptp.mix tptp.coffee) BOUND_VARIABLE_609))) (forall ((BOUND_VARIABLE_615 tptp.syrup)) (@ tptp.hot (@ (@ tptp.mix tptp.coffee) BOUND_VARIABLE_615)))) (and _let_7 _let_4)))))))) (let ((_let_9 (ho_6 k_5 (ho_4 gt_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30)))) (let ((_let_10 (= _let_5 gt_9))) (let ((_let_11 (not _let_6))) (let ((_let_12 (forall ((BOUND_VARIABLE_653 tptp.syrup)) (ho_6 k_5 (ho_4 gt_9 BOUND_VARIABLE_653))))) (let ((_let_13 (not _let_9))) (let ((_let_14 (not _let_12))) (let ((_let_15 (forall ((BOUND_VARIABLE_647 tptp.syrup)) (= tptp.coffee (ho_4 gt_9 BOUND_VARIABLE_647))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14))) (let ((_let_18 (forall ((BOUND_VARIABLE_703 |u_(-> tptp.syrup tptp.beverage)|)) (or (not (forall ((BOUND_VARIABLE_647 tptp.syrup)) (= tptp.coffee (ho_4 BOUND_VARIABLE_703 BOUND_VARIABLE_647)))) (not (forall ((BOUND_VARIABLE_653 tptp.syrup)) (ho_6 k_5 (ho_4 BOUND_VARIABLE_703 BOUND_VARIABLE_653)))))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((SyrupMixer (-> tptp.syrup tptp.beverage))) (or (not (forall ((BOUND_VARIABLE_647 tptp.syrup)) (= tptp.coffee (@ SyrupMixer BOUND_VARIABLE_647)))) (not (forall ((BOUND_VARIABLE_653 tptp.syrup)) (@ tptp.hot (@ SyrupMixer BOUND_VARIABLE_653)))))) _let_18))))))) (let ((_let_20 (= tptp.coffee (ho_4 gt_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)))) (let ((_let_21 (= tptp.coffee (ho_4 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)))) (let ((_let_22 (_let_7))) (let ((_let_23 (SYMM (THEORY_LEMMA :args ((= gt_9 _let_5) THEORY_QUANTIFIERS))))) (let ((_let_24 (not _let_10))) (let ((_let_25 (and _let_10 _let_21))) (let ((_let_26 (_let_10 _let_21))) (let ((_let_27 (APPLY_UF ho_4))) (let ((_let_28 (ASSUME :args (_let_21)))) (let ((_let_29 (or))) (let ((_let_30 (_let_16))) (let ((_let_31 (_let_13))) (let ((_let_32 (_let_14))) (let ((_let_33 (and _let_10 _let_13))) (let ((_let_34 (ASSUME :args _let_31))) (let ((_let_35 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_35)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_33)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_34 _let_23) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (k_5)) (CONG _let_23 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30)) :args _let_27) :args (APPLY_UF ho_6)) (FALSE_INTRO _let_34))) :args (_let_13 _let_10))) :args (_let_10 _let_13))) :args (true _let_33)) (CONG (REFL :args (_let_24)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_9))) (REFL :args (_let_11)) :args _let_29)) _let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_12))) (REFL :args _let_31) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_14 (not _let_17)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_30)) :args _let_30)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) (REFL :args ((not _let_20))) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_25)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_23 _let_28) (SCOPE (TRANS (SYMM (SYMM _let_28)) (CONG _let_23 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) :args _let_27)) :args _let_26)) :args _let_26)) :args (true _let_25)) :args ((or _let_24 _let_20 (not _let_21)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_22) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) (AND_ELIM _let_8 :args (0)) :args (_let_21 false _let_7)) :args (_let_20 false _let_10 false _let_21)) :args (_let_15 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (gt_9 QUANTIFIERS_INST_ENUM)) :args (_let_18))) _let_19 :args (_let_17 false _let_18)) :args (_let_14 false _let_15 false _let_17)) :args (_let_13 true _let_12)) :args (_let_11 false _let_10 true _let_9)) (AND_ELIM _let_8 :args (1)) :args (false true _let_6 false _let_4)) :args (_let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))
% 0.19/0.53 )
% 0.19/0.53 % SZS output end Proof for PUZ140^2
% 0.19/0.53 % cvc5---1.0.5 exiting
% 0.19/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------