TSTP Solution File: PUZ140^2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ140^2 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 08:50:52 EDT 2024
% Result : Theorem 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 36 ( 6 unt; 17 typ; 0 def)
% Number of atoms : 106 ( 37 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 48 ( 24 ~; 12 |; 11 &; 0 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 35 ( 34 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 3 con; 0-6 aty)
% Number of variables : 37 ( 0 ^ 21 !; 10 ?; 37 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
beverage: $tType ).
thf(type_def_6,type,
syrup: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $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_9,type,
sK0: ( syrup > beverage ) > syrup ).
thf(func_def_10,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_11,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_12,type,
vAND: $o > $o > $o ).
thf(func_def_13,type,
vOR: $o > $o > $o ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f51,plain,
$false,
inference(trivial_inequality_removal,[],[f50]) ).
thf(f50,plain,
coffee != coffee,
inference(superposition,[],[f21,f16]) ).
thf(f16,plain,
! [X0: syrup] : ( coffee = vAPP(syrup,beverage,coffee_mixture,X0) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
! [X0: syrup] :
( ( vAPP(beverage,$o,hot,vAPP(syrup,beverage,coffee_mixture,X0)) = $true )
& ( coffee = vAPP(syrup,beverage,coffee_mixture,X0) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
! [X0: syrup] :
( vAPP(beverage,$o,hot,vAPP(syrup,beverage,coffee_mixture,X0))
& ( coffee = vAPP(syrup,beverage,coffee_mixture,X0) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: syrup] :
( vAPP(beverage,$o,hot,vAPP(syrup,beverage,coffee_mixture,X0))
& ( coffee = vAPP(syrup,beverage,coffee_mixture,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coffee_and_syrup_is_hot_coffee) ).
thf(f21,plain,
! [X0: syrup > beverage] : ( coffee != vAPP(syrup,beverage,X0,vAPP(sTfun(syrup,beverage),syrup,sK0,X0)) ),
inference(trivial_inequality_removal,[],[f20]) ).
thf(f20,plain,
! [X0: syrup > beverage] :
( ( $true != $true )
| ( coffee != vAPP(syrup,beverage,X0,vAPP(sTfun(syrup,beverage),syrup,sK0,X0)) ) ),
inference(backward_demodulation,[],[f18,f19]) ).
thf(f19,plain,
$true = vAPP(beverage,$o,hot,coffee),
inference(backward_demodulation,[],[f17,f16]) ).
thf(f17,plain,
! [X0: syrup] : ( vAPP(beverage,$o,hot,vAPP(syrup,beverage,coffee_mixture,X0)) = $true ),
inference(cnf_transformation,[],[f10]) ).
thf(f18,plain,
! [X0: syrup > beverage] :
( ( $true != vAPP(beverage,$o,hot,coffee) )
| ( coffee != vAPP(syrup,beverage,X0,vAPP(sTfun(syrup,beverage),syrup,sK0,X0)) ) ),
inference(equality_resolution,[],[f14]) ).
thf(f14,plain,
! [X2: beverage,X0: syrup > beverage] :
( ( vAPP(beverage,$o,hot,X2) != $true )
| ( coffee != X2 )
| ( vAPP(syrup,beverage,X0,vAPP(sTfun(syrup,beverage),syrup,sK0,X0)) != X2 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
! [X0: syrup > beverage,X2: beverage] :
( ( vAPP(beverage,$o,hot,X2) != $true )
| ( coffee != X2 )
| ( vAPP(syrup,beverage,X0,vAPP(sTfun(syrup,beverage),syrup,sK0,X0)) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f12]) ).
thf(f12,plain,
! [X0: syrup > beverage] :
( ? [X1: syrup] :
! [X2: beverage] :
( ( vAPP(beverage,$o,hot,X2) != $true )
| ( coffee != X2 )
| ( vAPP(syrup,beverage,X0,X1) != X2 ) )
=> ! [X2: beverage] :
( ( vAPP(beverage,$o,hot,X2) != $true )
| ( coffee != X2 )
| ( vAPP(syrup,beverage,X0,vAPP(sTfun(syrup,beverage),syrup,sK0,X0)) != X2 ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X0: syrup > beverage] :
? [X1: syrup] :
! [X2: beverage] :
( ( vAPP(beverage,$o,hot,X2) != $true )
| ( coffee != X2 )
| ( vAPP(syrup,beverage,X0,X1) != X2 ) ),
inference(ennf_transformation,[],[f8]) ).
thf(f8,plain,
~ ? [X0: syrup > beverage] :
! [X1: syrup] :
? [X2: beverage] :
( ( vAPP(beverage,$o,hot,X2) = $true )
& ( coffee = X2 )
& ( vAPP(syrup,beverage,X0,X1) = X2 ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ ? [X0: syrup > beverage] :
! [X1: syrup] :
? [X2: beverage] :
( vAPP(beverage,$o,hot,X2)
& ( coffee = X2 )
& ( vAPP(syrup,beverage,X0,X1) = X2 ) ),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ ? [X1: syrup > beverage] :
! [X0: syrup] :
? [X2: beverage] :
( vAPP(beverage,$o,hot,X2)
& ( coffee = X2 )
& ( vAPP(syrup,beverage,X1,X0) = X2 ) ),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
? [X1: syrup > beverage] :
! [X0: syrup] :
? [X2: beverage] :
( vAPP(beverage,$o,hot,X2)
& ( coffee = X2 )
& ( vAPP(syrup,beverage,X1,X0) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_hot_coffee) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PUZ140^2 : TPTP v8.1.2. Released v6.4.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 18:02:23 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % (14341)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (14344)WARNING: value z3 for option sas not known
% 0.16/0.33 % (14345)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (14347)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.33 % (14342)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (14343)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (14344)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (14346)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.33 % (14348)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33 % (14348)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.33 % Exception at run slice level% Exception at run slice level
% 0.16/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.33 % Exception at run slice level
% 0.16/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.33
% 0.16/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.33 % (14348)Also succeeded, but the first one will report.
% 0.16/0.33 % (14347)First to succeed.
% 0.16/0.33 % (14346)Also succeeded, but the first one will report.
% 0.16/0.33 % (14344)Also succeeded, but the first one will report.
% 0.16/0.33 % (14347)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14341"
% 0.16/0.33 % (14347)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Theorem for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (14347)------------------------------
% 0.16/0.33 % (14347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33 % (14347)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (14347)Memory used [KB]: 771
% 0.16/0.33 % (14347)Time elapsed: 0.004 s
% 0.16/0.33 % (14347)Instructions burned: 4 (million)
% 0.16/0.33 % (14341)Success in time 0.016 s
%------------------------------------------------------------------------------