TSTP Solution File: PUZ140^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PUZ140^2 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 : Sun May 5 08:49:27 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 39 ( 10 unt; 11 typ; 0 def)
% Number of atoms : 81 ( 41 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 106 ( 28 ~; 15 |; 11 &; 49 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 0 ^ 23 !; 10 ?; 35 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
beverage: $tType ).
thf(type_def_6,type,
syrup: $tType ).
thf(func_def_0,type,
syrup: $tType ).
thf(func_def_1,type,
beverage: $tType ).
thf(func_def_2,type,
coffee: beverage ).
thf(func_def_3,type,
mix: beverage > syrup > beverage ).
thf(func_def_4,type,
coffee_mixture: syrup > beverage ).
thf(func_def_5,type,
hot: beverage > $o ).
thf(func_def_7,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_10,type,
sK0: ( syrup > beverage ) > syrup ).
thf(func_def_12,type,
ph2:
!>[X0: $tType] : X0 ).
thf(f33,plain,
$false,
inference(avatar_sat_refutation,[],[f27,f29,f32]) ).
thf(f32,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f31]) ).
thf(f31,plain,
( $false
| ~ spl1_2 ),
inference(trivial_inequality_removal,[],[f30]) ).
thf(f30,plain,
( ( coffee != coffee )
| ~ spl1_2 ),
inference(superposition,[],[f26,f17]) ).
thf(f17,plain,
! [X0: syrup] :
( coffee
= ( mix @ coffee @ X0 ) ),
inference(definition_unfolding,[],[f15,f16]) ).
thf(f16,plain,
( coffee_mixture
= ( mix @ coffee ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
( coffee_mixture
= ( mix @ coffee ) ),
file('/export/starexec/sandbox2/tmp/tmp.MO0sHVP8rE/Vampire---4.8_16047',coffee_mixture_definition) ).
thf(f15,plain,
! [X0: syrup] :
( coffee
= ( coffee_mixture @ X0 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
! [X0: syrup] :
( ( coffee
= ( coffee_mixture @ X0 ) )
& ( ( hot @ ( coffee_mixture @ X0 ) )
= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f8,plain,
! [X0: syrup] :
( ( hot @ ( coffee_mixture @ X0 ) )
& ( coffee
= ( coffee_mixture @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: syrup] :
( ( hot @ ( coffee_mixture @ X0 ) )
& ( coffee
= ( coffee_mixture @ X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MO0sHVP8rE/Vampire---4.8_16047',coffee_and_syrup_is_hot_coffee) ).
thf(f26,plain,
( ! [X0: syrup > beverage] :
( coffee
!= ( X0 @ ( sK0 @ X0 ) ) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f25]) ).
thf(f25,plain,
( spl1_2
<=> ! [X0: syrup > beverage] :
( coffee
!= ( X0 @ ( sK0 @ X0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
thf(f29,plain,
spl1_1,
inference(avatar_split_clause,[],[f28,f21]) ).
thf(f21,plain,
( spl1_1
<=> ( $true
= ( hot @ coffee ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
thf(f28,plain,
( $true
= ( hot @ coffee ) ),
inference(forward_demodulation,[],[f18,f17]) ).
thf(f18,plain,
! [X0: syrup] :
( ( hot @ ( mix @ coffee @ X0 ) )
= $true ),
inference(definition_unfolding,[],[f14,f16]) ).
thf(f14,plain,
! [X0: syrup] :
( ( hot @ ( coffee_mixture @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f9]) ).
thf(f27,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f19,f25,f21]) ).
thf(f19,plain,
! [X0: syrup > beverage] :
( ( coffee
!= ( X0 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( hot @ coffee ) ) ),
inference(equality_resolution,[],[f13]) ).
thf(f13,plain,
! [X2: beverage,X0: syrup > beverage] :
( ( ( hot @ X2 )
!= $true )
| ( coffee != X2 )
| ( ( X0 @ ( sK0 @ X0 ) )
!= X2 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: syrup > beverage,X2: beverage] :
( ( ( hot @ X2 )
!= $true )
| ( coffee != X2 )
| ( ( X0 @ ( sK0 @ X0 ) )
!= X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f11]) ).
thf(f11,plain,
! [X0: syrup > beverage] :
( ? [X1: syrup] :
! [X2: beverage] :
( ( ( hot @ X2 )
!= $true )
| ( coffee != X2 )
| ( ( X0 @ X1 )
!= X2 ) )
=> ! [X2: beverage] :
( ( ( hot @ X2 )
!= $true )
| ( coffee != X2 )
| ( ( X0 @ ( sK0 @ X0 ) )
!= X2 ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X0: syrup > beverage] :
? [X1: syrup] :
! [X2: beverage] :
( ( ( hot @ X2 )
!= $true )
| ( coffee != X2 )
| ( ( X0 @ X1 )
!= X2 ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ? [X0: syrup > beverage] :
! [X1: syrup] :
? [X2: beverage] :
( ( ( X0 @ X1 )
= X2 )
& ( ( hot @ X2 )
= $true )
& ( coffee = X2 ) ),
inference(fool_elimination,[],[f6]) ).
thf(f6,plain,
~ ? [X0: syrup > beverage] :
! [X1: syrup] :
? [X2: beverage] :
( ( hot @ X2 )
& ( coffee = X2 )
& ( ( X0 @ X1 )
= X2 ) ),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ ? [X1: syrup > beverage] :
! [X0: syrup] :
? [X2: beverage] :
( ( hot @ X2 )
& ( coffee = X2 )
& ( ( X1 @ X0 )
= X2 ) ),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
? [X1: syrup > beverage] :
! [X0: syrup] :
? [X2: beverage] :
( ( hot @ X2 )
& ( coffee = X2 )
& ( ( X1 @ X0 )
= X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.MO0sHVP8rE/Vampire---4.8_16047',there_is_hot_coffee) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : PUZ140^2 : TPTP v8.1.2. Released v6.4.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 18:02:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.MO0sHVP8rE/Vampire---4.8_16047
% 0.22/0.38 % (16226)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.22/0.38 % (16228)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.22/0.38 % (16227)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.38 % (16231)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.22/0.38 % (16232)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.38 % (16230)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.39 % (16231)Refutation not found, incomplete strategy
% 0.22/0.39 % (16231)------------------------------
% 0.22/0.39 % (16231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (16231)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (16231)Memory used [KB]: 5500
% 0.22/0.39 % (16231)Time elapsed: 0.004 s
% 0.22/0.39 % (16231)Instructions burned: 1 (million)
% 0.22/0.39 % (16231)------------------------------
% 0.22/0.39 % (16231)------------------------------
% 0.22/0.39 % (16228)First to succeed.
% 0.22/0.39 % (16230)Instruction limit reached!
% 0.22/0.39 % (16230)------------------------------
% 0.22/0.39 % (16230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (16230)Termination reason: Unknown
% 0.22/0.39 % (16230)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (16230)Memory used [KB]: 5500
% 0.22/0.39 % (16230)Time elapsed: 0.004 s
% 0.22/0.39 % (16230)Instructions burned: 2 (million)
% 0.22/0.39 % (16230)------------------------------
% 0.22/0.39 % (16230)------------------------------
% 0.22/0.39 % (16229)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.39 % (16226)Also succeeded, but the first one will report.
% 0.22/0.39 % (16232)Also succeeded, but the first one will report.
% 0.22/0.39 % (16228)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for Vampire---4
% 0.22/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.39 % (16228)------------------------------
% 0.22/0.39 % (16228)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (16228)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (16228)Memory used [KB]: 5500
% 0.22/0.39 % (16228)Time elapsed: 0.005 s
% 0.22/0.39 % (16228)Instructions burned: 2 (million)
% 0.22/0.39 % (16228)------------------------------
% 0.22/0.39 % (16228)------------------------------
% 0.22/0.39 % (16223)Success in time 0.007 s
% 0.22/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------