TSTP Solution File: SEV017^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV017^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 09:43:38 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 37 ( 7 unt; 14 typ; 0 def)
% Number of atoms : 441 ( 89 equ; 0 cnn)
% Maximal formula atoms : 18 ( 19 avg)
% Number of connectives : 133 ( 39 ~; 26 |; 46 &; 0 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 36 ( 35 >; 1 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 5 con; 0-6 aty)
% Number of variables : 110 ( 0 ^ 82 !; 22 ?; 110 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a > a > $o ).
thf(func_def_5,type,
sK1: a ).
thf(func_def_6,type,
sK2: a ).
thf(func_def_7,type,
sK3: a ).
thf(func_def_9,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_10,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_11,type,
vAND: $o > $o > $o ).
thf(func_def_12,type,
vOR: $o > $o > $o ).
thf(func_def_13,type,
vIMP: $o > $o > $o ).
thf(func_def_14,type,
vNOT: $o > $o ).
thf(func_def_15,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f140,plain,
$false,
inference(trivial_inequality_removal,[],[f134]) ).
thf(f134,plain,
$true != $true,
inference(superposition,[],[f131,f16]) ).
thf(f16,plain,
$true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK1),sK2),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK1),sK3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK2),sK3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK1),sK2) )
& ! [X4: a,X5: a,X6: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X4),X6) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X5),X6) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X4),X5) ) )
& ! [X7: a,X8: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X8),X7) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X7),X8) ) )
& ! [X9: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X9),X9) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f11,f10]) ).
thf(f10,plain,
( ? [X0: a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) != $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) = $true ) )
& ! [X4: a,X5: a,X6: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X4),X6) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X4),X5) ) )
& ! [X7: a,X8: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X7) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X7),X8) ) )
& ! [X9: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X9),X9) ) )
=> ( ? [X3: a,X2: a,X1: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X1),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X2),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X1),X2) ) )
& ! [X6: a,X5: a,X4: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X4),X6) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X5),X6) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X4),X5) ) )
& ! [X8: a,X7: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X8),X7) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X7),X8) ) )
& ! [X9: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X9),X9) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X3: a,X2: a,X1: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X1),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X2),X3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X1),X2) ) )
=> ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK1),sK3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK2),sK3) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK1),sK2) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
? [X0: a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) != $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) = $true ) )
& ! [X4: a,X5: a,X6: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X4),X6) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X6) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X4),X5) ) )
& ! [X7: a,X8: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X7) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X7),X8) ) )
& ! [X9: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X9),X9) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
? [X0: a > a > $o] :
( ? [X7: a,X8: a,X9: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X7),X9) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X7),X8) ) )
& ! [X1: a,X2: a,X3: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) = $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3) != $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) != $true ) )
& ! [X4: a,X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X4) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X4),X5) ) )
& ! [X6: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X6),X6) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: a > a > $o] :
( ? [X7: a,X8: a,X9: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X7),X9) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) )
& ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X7),X8) ) )
& ! [X1: a,X2: a,X3: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) = $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3) != $true )
| ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) != $true ) )
& ! [X4: a,X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X4) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X4),X5) ) )
& ! [X6: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X6),X6) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > a > $o] :
( ( ! [X1: a,X2: a,X3: a] :
( ( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3) = $true )
& ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) = $true ) )
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) = $true ) )
& ! [X4: a,X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X4),X5) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X4) ) )
& ! [X6: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X6),X6) ) )
=> ! [X7: a,X8: a,X9: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X7),X8) )
=> ( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X7),X9) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a > $o] :
( ( ! [X1: a,X2: a,X3: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) )
& ! [X4: a,X5: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X4),X5)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X5),X4) )
& ! [X6: a] : vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X6),X6) )
=> ! [X7: a,X8: a,X9: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X7),X8)
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X8),X9)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X7),X9) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o] :
( ( ! [X1: a,X2: a,X3: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) )
& ! [X1: a,X2: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X1) )
& ! [X1: a] : vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X1) )
=> ! [X1: a,X2: a,X3: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2)
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o] :
( ( ! [X1: a,X2: a,X3: a] :
( ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3)
& vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2) )
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) )
& ! [X1: a,X2: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X1) )
& ! [X1: a] : vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X1) )
=> ! [X1: a,X2: a,X3: a] :
( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X2)
=> ( vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X2),X3)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),X0,X1),X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM514_pme) ).
thf(f131,plain,
$true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK1),sK2),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f124,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK1),sK2) ) ),
inference(superposition,[],[f48,f66]) ).
thf(f66,plain,
! [X0: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X0),sK3) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X0),sK2) ) ),
inference(trivial_inequality_removal,[],[f63]) ).
thf(f63,plain,
! [X0: a] :
( ( $true != $true )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X0),sK3) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X0),sK2) ) ),
inference(superposition,[],[f15,f17]) ).
thf(f17,plain,
$true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK2),sK3),
inference(cnf_transformation,[],[f12]) ).
thf(f15,plain,
! [X6: a,X4: a,X5: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X5),X6) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X4),X6) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,X4),X5) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f48,plain,
$false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK1),sK3),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f47,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK1),sK3) ) ),
inference(superposition,[],[f18,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f18,plain,
$true != vAPP(a,$o,vAPP(a,sTfun(a,$o),sK0,sK1),sK3),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV017^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 12:20:07 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (9410)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (9416)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (9411)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (9414)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34 % (9413)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)
% 0.11/0.34 % (9417)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)
% 0.11/0.34 % (9412)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (9414)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.11/0.34 % (9413)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.11/0.34 % Exception at run slice level% Exception at run slice level
% 0.11/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.34
% 0.11/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.34 % Exception at run slice level
% 0.11/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.34 % Exception at run slice level
% 0.11/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.34 % (9415)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (9413)First to succeed.
% 0.11/0.34 % (9416)Also succeeded, but the first one will report.
% 0.11/0.34 % (9415)Also succeeded, but the first one will report.
% 0.11/0.34 % (9413)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9410"
% 0.11/0.34 % (9413)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (9413)------------------------------
% 0.11/0.34 % (9413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (9413)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (9413)Memory used [KB]: 843
% 0.11/0.34 % (9413)Time elapsed: 0.007 s
% 0.11/0.34 % (9413)Instructions burned: 11 (million)
% 0.11/0.34 % (9410)Success in time 0.018 s
%------------------------------------------------------------------------------