TSTP Solution File: NUM793^1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM793^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 08:42:24 EDT 2024
% Result : Theorem 0.14s 0.35s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 25
% Syntax : Number of formulae : 69 ( 21 unt; 17 typ; 0 def)
% Number of atoms : 379 ( 65 equ; 0 cnn)
% Maximal formula atoms : 3 ( 7 avg)
% Number of connectives : 64 ( 25 ~; 24 |; 0 &; 0 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 26 ( 25 >; 1 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 5 con; 0-6 aty)
% Number of variables : 61 ( 0 ^ 55 !; 0 ?; 61 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
rat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
rat: $tType ).
thf(func_def_1,type,
x0: rat ).
thf(func_def_2,type,
y0: rat ).
thf(func_def_3,type,
z0: rat ).
thf(func_def_4,type,
more: rat > rat > $o ).
thf(func_def_6,type,
moreis: rat > rat > $o ).
thf(func_def_7,type,
less: rat > rat > $o ).
thf(func_def_8,type,
lessis: rat > rat > $o ).
thf(func_def_11,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_12,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_13,type,
vAND: $o > $o > $o ).
thf(func_def_14,type,
vOR: $o > $o > $o ).
thf(func_def_15,type,
vIMP: $o > $o > $o ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(func_def_17,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f146,plain,
$false,
inference(trivial_inequality_removal,[],[f145]) ).
thf(f145,plain,
$true = $false,
inference(forward_demodulation,[],[f144,f116]) ).
thf(f116,plain,
$false = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,z0),x0),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f109,plain,
( ( $true = $false )
| ( $false = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,z0),x0) ) ),
inference(superposition,[],[f67,f82]) ).
thf(f82,plain,
! [X0: rat,X1: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X1),X0) = $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1) = $false ) ),
inference(trivial_inequality_removal,[],[f81]) ).
thf(f81,plain,
! [X0: rat,X1: rat] :
( ( $true != $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X1),X0) = $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1) = $false ) ),
inference(superposition,[],[f34,f10]) ).
thf(f10,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f34,plain,
! [X0: rat,X1: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1) != $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X1),X0) = $true ) ),
inference(cnf_transformation,[],[f28]) ).
thf(f28,plain,
! [X0: rat,X1: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X1),X0) = $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1) != $true ) ),
inference(ennf_transformation,[],[f18]) ).
thf(f18,plain,
! [X0: rat,X1: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1) = $true )
=> ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X1),X0) = $true ) ),
inference(fool_elimination,[],[f17]) ).
thf(f17,plain,
! [X0: rat,X1: rat] :
( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X1),X0) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X0: rat,X1: rat] :
( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X1)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz83) ).
thf(f67,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),z0) = $false,
inference(trivial_inequality_removal,[],[f66]) ).
thf(f66,plain,
( ( $true != $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),z0) = $false ) ),
inference(superposition,[],[f31,f10]) ).
thf(f31,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),z0) != $true,
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),z0) != $true,
inference(flattening,[],[f12]) ).
thf(f12,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),z0) != $true,
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
~ vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),z0),
inference(rectify,[],[f8]) ).
thf(f8,negated_conjecture,
~ vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),z0),
inference(negated_conjecture,[],[f7]) ).
thf(f7,conjecture,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),z0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz87d) ).
thf(f144,plain,
$true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,z0),x0),
inference(trivial_inequality_removal,[],[f139]) ).
thf(f139,plain,
( ( $true != $true )
| ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,z0),x0) ) ),
inference(superposition,[],[f137,f74]) ).
thf(f74,plain,
$true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,z0),y0),
inference(trivial_inequality_removal,[],[f71]) ).
thf(f71,plain,
( ( $true != $true )
| ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,z0),y0) ) ),
inference(superposition,[],[f32,f36]) ).
thf(f36,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),moreis,y0),z0) = $true,
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),moreis,y0),z0) = $true,
inference(fool_elimination,[],[f21]) ).
thf(f21,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),moreis,y0),z0),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),moreis,y0),z0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n) ).
thf(f32,plain,
! [X0: rat,X1: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),moreis,X0),X1) != $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X1),X0) = $true ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f26,plain,
! [X0: rat,X1: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X1),X0) = $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),moreis,X0),X1) != $true ) ),
inference(ennf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: rat,X1: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),moreis,X0),X1) = $true )
=> ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X1),X0) = $true ) ),
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
! [X0: rat,X1: rat] :
( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),moreis,X0),X1)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X1),X0) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X0: rat,X1: rat] :
( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),moreis,X0),X1)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz84) ).
thf(f137,plain,
! [X0: rat] :
( ( $true != vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X0),y0) )
| ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),x0) ) ),
inference(trivial_inequality_removal,[],[f133]) ).
thf(f133,plain,
! [X0: rat] :
( ( $true != $true )
| ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),x0) )
| ( $true != vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X0),y0) ) ),
inference(superposition,[],[f35,f79]) ).
thf(f79,plain,
$true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,y0),x0),
inference(trivial_inequality_removal,[],[f76]) ).
thf(f76,plain,
( ( $true != $true )
| ( $true = vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,y0),x0) ) ),
inference(superposition,[],[f33,f37]) ).
thf(f37,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0) = $true,
inference(cnf_transformation,[],[f24]) ).
thf(f24,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0) = $true,
inference(fool_elimination,[],[f23]) ).
thf(f23,plain,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,x0),y0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(f33,plain,
! [X0: rat,X1: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1) != $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X0) = $true ) ),
inference(cnf_transformation,[],[f27]) ).
thf(f27,plain,
! [X0: rat,X1: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X0) = $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1) != $true ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f16,plain,
! [X0: rat,X1: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1) = $true )
=> ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X0) = $true ) ),
inference(fool_elimination,[],[f15]) ).
thf(f15,plain,
! [X0: rat,X1: rat] :
( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X0) ),
inference(rectify,[],[f6]) ).
thf(f6,axiom,
! [X0: rat,X1: rat] :
( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),more,X0),X1)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz82) ).
thf(f35,plain,
! [X2: rat,X0: rat,X1: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X2) != $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X2) = $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X0),X1) != $true ) ),
inference(cnf_transformation,[],[f30]) ).
thf(f30,plain,
! [X0: rat,X1: rat,X2: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X2) = $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X2) != $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X0),X1) != $true ) ),
inference(flattening,[],[f29]) ).
thf(f29,plain,
! [X0: rat,X1: rat,X2: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X2) = $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X2) != $true )
| ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X0),X1) != $true ) ),
inference(ennf_transformation,[],[f20]) ).
thf(f20,plain,
! [X0: rat,X1: rat,X2: rat] :
( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X0),X1) = $true )
=> ( ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X2) = $true )
=> ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X2) = $true ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f19,plain,
! [X0: rat,X1: rat,X2: rat] :
( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X0),X1)
=> ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X2)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X2) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X0: rat,X1: rat,X2: rat] :
( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),lessis,X0),X1)
=> ( vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X1),X2)
=> vAPP(rat,$o,vAPP(rat,sTfun(rat,$o),less,X0),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz87a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM793^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.33 % Computer : n009.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Fri May 3 15:10:22 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.14/0.33 % (15550)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.34 % (15557)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)
% 0.14/0.34 % Exception at run slice level
% 0.14/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.35 % (15552)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.35 % (15554)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.35 % (15551)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.35 % (15556)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.35 % (15555)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.35 % (15553)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)
% 0.14/0.35 % (15554)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.35 % (15553)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.35 % Exception at run slice level% Exception at run slice level% Exception at run slice level
% 0.14/0.35
% 0.14/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsUser error:
% 0.14/0.35 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.35
% 0.14/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.35 % (15558)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.35 % Exception at run slice level
% 0.14/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.35 % (15555)First to succeed.
% 0.14/0.35 % (15556)Also succeeded, but the first one will report.
% 0.14/0.35 % (15553)Also succeeded, but the first one will report.
% 0.14/0.35 % (15555)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15550"
% 0.14/0.35 % (15555)Refutation found. Thanks to Tanya!
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.35 % (15555)------------------------------
% 0.14/0.35 % (15555)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.35 % (15555)Termination reason: Refutation
% 0.14/0.35
% 0.14/0.35 % (15555)Memory used [KB]: 772
% 0.14/0.35 % (15555)Time elapsed: 0.007 s
% 0.14/0.35 % (15555)Instructions burned: 10 (million)
% 0.14/0.35 % (15550)Success in time 0.011 s
%------------------------------------------------------------------------------