TSTP Solution File: NUM692^1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM692^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Tue May 21 02:12:53 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 62 ( 20 unt; 17 typ; 0 def)
% Number of atoms : 398 ( 58 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 66 ( 31 ~; 23 |; 0 &; 0 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 24 ( 23 >; 1 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 6 con; 0-6 aty)
% Number of variables : 59 ( 0 ^ 53 !; 0 ?; 59 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
nat: $tType ).
thf(func_def_1,type,
x: nat ).
thf(func_def_2,type,
y: nat ).
thf(func_def_3,type,
z: nat ).
thf(func_def_4,type,
u: nat ).
thf(func_def_5,type,
lessis: nat > nat > $o ).
thf(func_def_7,type,
ts: nat > nat > nat ).
thf(func_def_8,type,
moreis: nat > nat > $o ).
thf(func_def_12,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_13,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_14,type,
vAND: $o > $o > $o ).
thf(func_def_15,type,
vOR: $o > $o > $o ).
thf(func_def_16,type,
vIMP: $o > $o > $o ).
thf(func_def_17,type,
vNOT: $o > $o ).
thf(func_def_18,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f148,plain,
$false,
inference(trivial_inequality_removal,[],[f142]) ).
thf(f142,plain,
$true != $true,
inference(superposition,[],[f139,f66]) ).
thf(f66,plain,
$true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,u),z),
inference(trivial_inequality_removal,[],[f61]) ).
thf(f61,plain,
( ( $true != $true )
| ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,u),z) ) ),
inference(superposition,[],[f28,f31]) ).
thf(f31,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,z),u) = $true,
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,z),u) = $true,
inference(fool_elimination,[],[f18]) ).
thf(f18,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,z),u),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,z),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k) ).
thf(f28,plain,
! [X0: nat,X1: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,X0),X1) != $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X1),X0) = $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
! [X0: nat,X1: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X1),X0) = $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,X0),X1) != $true ) ),
inference(ennf_transformation,[],[f13]) ).
thf(f13,plain,
! [X0: nat,X1: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,X0),X1) = $true )
=> ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X1),X0) = $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f12,plain,
! [X0: nat,X1: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,X0),X1)
=> vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X1),X0) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X0: nat,X1: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,X0),X1)
=> vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz14) ).
thf(f139,plain,
$true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,u),z),
inference(trivial_inequality_removal,[],[f138]) ).
thf(f138,plain,
( ( $true != $true )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,u),z) ) ),
inference(forward_demodulation,[],[f137,f65]) ).
thf(f65,plain,
$true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,y),x),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f62,plain,
( ( $true != $true )
| ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,y),x) ) ),
inference(superposition,[],[f28,f32]) ).
thf(f32,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,x),y) = $true,
inference(cnf_transformation,[],[f21]) ).
thf(f21,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,x),y) = $true,
inference(fool_elimination,[],[f20]) ).
thf(f20,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,x),y),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).
thf(f137,plain,
( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,u),z) )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,y),x) ) ),
inference(trivial_inequality_removal,[],[f128]) ).
thf(f128,plain,
( ( $true = $false )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,u),z) )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,y),x) ) ),
inference(superposition,[],[f117,f74]) ).
thf(f74,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),u)) = $false,
inference(trivial_inequality_removal,[],[f73]) ).
thf(f73,plain,
( ( $true != $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),u)) = $false ) ),
inference(superposition,[],[f27,f9]) ).
thf(f9,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f27,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),u)) != $true,
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),u)) != $true,
inference(flattening,[],[f11]) ).
thf(f11,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),u)) != $true,
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),u)),
inference(rectify,[],[f7]) ).
thf(f7,negated_conjecture,
~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),u)),
inference(negated_conjecture,[],[f6]) ).
thf(f6,conjecture,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,x),z)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,y),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz23a) ).
thf(f117,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X2),X3)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1)) )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X1),X3) )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X2) ) ),
inference(trivial_inequality_removal,[],[f116]) ).
thf(f116,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( ( $true != $true )
| ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X2),X3)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X1)) )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X1),X3) )
| ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X2) ) ),
inference(superposition,[],[f29,f30]) ).
thf(f30,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X3)) = $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X2),X3) != $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X1) != $true ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f26,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X3)) = $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X2),X3) != $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X1) != $true ) ),
inference(flattening,[],[f25]) ).
thf(f25,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X3)) = $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X2),X3) != $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X1) != $true ) ),
inference(ennf_transformation,[],[f17]) ).
thf(f17,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X1) = $true )
=> ( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X2),X3) = $true )
=> ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X3)) = $true ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f16,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X1)
=> ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X2),X3)
=> vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X3)) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X1)
=> ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X2),X3)
=> vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),ts,X1),X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz23) ).
thf(f29,plain,
! [X0: nat,X1: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X1) != $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,X1),X0) = $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f24,plain,
! [X0: nat,X1: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,X1),X0) = $true )
| ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X1) != $true ) ),
inference(ennf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: nat,X1: nat] :
( ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X1) = $true )
=> ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,X1),X0) = $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f14,plain,
! [X0: nat,X1: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X1)
=> vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,X1),X0) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X0: nat,X1: nat] :
( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),moreis,X0),X1)
=> vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),lessis,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM692^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 07:38:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (14827)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (14830)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (14830)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % (14828)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (14829)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (14831)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (14830)First to succeed.
% 0.14/0.37 % (14832)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (14834)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (14831)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % (14830)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14827"
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % (14830)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (14830)------------------------------
% 0.14/0.37 % (14830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (14830)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (14830)Memory used [KB]: 780
% 0.14/0.37 % (14830)Time elapsed: 0.007 s
% 0.14/0.37 % (14830)Instructions burned: 11 (million)
% 0.14/0.37 % (14827)Success in time 0.018 s
%------------------------------------------------------------------------------