TSTP Solution File: SET185^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET185^5 : 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 : 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 09:12:42 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 31 ( 5 unt; 13 typ; 0 def)
% Number of atoms : 182 ( 48 equ; 0 cnn)
% Maximal formula atoms : 10 ( 10 avg)
% Number of connectives : 64 ( 18 ~; 20 |; 12 &; 0 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 34 ( 33 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 3 con; 0-6 aty)
% Number of variables : 40 ( 0 ^ 23 !; 11 ?; 40 :)
% ( 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 > $o ).
thf(func_def_5,type,
sK1: a > $o ).
thf(func_def_6,type,
sK2: a ).
thf(func_def_7,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_8,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_9,type,
vAND: $o > $o > $o ).
thf(func_def_10,type,
vOR: $o > $o > $o ).
thf(func_def_11,type,
vIMP: $o > $o > $o ).
thf(func_def_12,type,
vNOT: $o > $o ).
thf(func_def_13,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f52,plain,
$false,
inference(trivial_inequality_removal,[],[f51]) ).
thf(f51,plain,
$true = $false,
inference(forward_demodulation,[],[f50,f26]) ).
thf(f26,plain,
$false = vAPP(a,$o,sK1,sK2),
inference(trivial_inequality_removal,[],[f24]) ).
thf(f24,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK1,sK2) ) ),
inference(superposition,[],[f14,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f14,plain,
$true != vAPP(a,$o,sK1,sK2),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( ( $true != vAPP(a,$o,sK1,sK2) )
& ( ( $true = vAPP(a,$o,sK1,sK2) )
| ( $true = vAPP(a,$o,sK0,sK2) ) )
& ! [X3: a] :
( ( $true = vAPP(a,$o,sK1,X3) )
| ( $true != vAPP(a,$o,sK0,X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > $o,X1: a > $o] :
( ? [X2: a] :
( ( vAPP(a,$o,X1,X2) != $true )
& ( ( vAPP(a,$o,X1,X2) = $true )
| ( vAPP(a,$o,X0,X2) = $true ) ) )
& ! [X3: a] :
( ( $true = vAPP(a,$o,X1,X3) )
| ( $true != vAPP(a,$o,X0,X3) ) ) )
=> ( ? [X2: a] :
( ( $true != vAPP(a,$o,sK1,X2) )
& ( ( $true = vAPP(a,$o,sK1,X2) )
| ( $true = vAPP(a,$o,sK0,X2) ) ) )
& ! [X3: a] :
( ( $true = vAPP(a,$o,sK1,X3) )
| ( $true != vAPP(a,$o,sK0,X3) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X2: a] :
( ( $true != vAPP(a,$o,sK1,X2) )
& ( ( $true = vAPP(a,$o,sK1,X2) )
| ( $true = vAPP(a,$o,sK0,X2) ) ) )
=> ( ( $true != vAPP(a,$o,sK1,sK2) )
& ( ( $true = vAPP(a,$o,sK1,sK2) )
| ( $true = vAPP(a,$o,sK0,sK2) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o] :
( ? [X2: a] :
( ( vAPP(a,$o,X1,X2) != $true )
& ( ( vAPP(a,$o,X1,X2) = $true )
| ( vAPP(a,$o,X0,X2) = $true ) ) )
& ! [X3: a] :
( ( $true = vAPP(a,$o,X1,X3) )
| ( $true != vAPP(a,$o,X0,X3) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a > $o,X1: a > $o] :
( ? [X3: a] :
( ( $true != vAPP(a,$o,X1,X3) )
& ( ( $true = vAPP(a,$o,X1,X3) )
| ( $true = vAPP(a,$o,X0,X3) ) ) )
& ! [X2: a] :
( ( vAPP(a,$o,X1,X2) = $true )
| ( vAPP(a,$o,X0,X2) != $true ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( vAPP(a,$o,X0,X2) = $true )
=> ( vAPP(a,$o,X1,X2) = $true ) )
=> ! [X3: a] :
( ( ( $true = vAPP(a,$o,X1,X3) )
| ( $true = vAPP(a,$o,X0,X3) ) )
=> ( $true = vAPP(a,$o,X1,X3) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> vAPP(a,$o,X1,X2) )
=> ! [X3: a] :
( ( vAPP(a,$o,X1,X3)
| vAPP(a,$o,X0,X3) )
=> vAPP(a,$o,X1,X3) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> vAPP(a,$o,X1,X2) )
=> ! [X2: a] :
( ( vAPP(a,$o,X1,X2)
| vAPP(a,$o,X0,X2) )
=> vAPP(a,$o,X1,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> vAPP(a,$o,X1,X2) )
=> ! [X2: a] :
( ( vAPP(a,$o,X1,X2)
| vAPP(a,$o,X0,X2) )
=> vAPP(a,$o,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_35_pme) ).
thf(f50,plain,
$true = vAPP(a,$o,sK1,sK2),
inference(subsumption_resolution,[],[f13,f12]) ).
thf(f12,plain,
! [X3: a] :
( ( $true != vAPP(a,$o,sK0,X3) )
| ( $true = vAPP(a,$o,sK1,X3) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f13,plain,
( ( $true = vAPP(a,$o,sK1,sK2) )
| ( $true = vAPP(a,$o,sK0,sK2) ) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET185^5 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n009.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 16:36:23 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % (11000)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (11005)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (11006)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (11003)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)
% 0.15/0.39 % (11003)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % (11002)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (11004)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39 % (11004)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % (11003)Also succeeded, but the first one will report.
% 0.15/0.39 % (11005)First to succeed.
% 0.15/0.39 % (11006)Also succeeded, but the first one will report.
% 0.15/0.39 % (11007)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)
% 0.15/0.39 % (11005)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11000"
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.40 % (11005)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (11005)------------------------------
% 0.15/0.40 % (11005)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (11005)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (11005)Memory used [KB]: 763
% 0.15/0.40 % (11005)Time elapsed: 0.004 s
% 0.15/0.40 % (11005)Instructions burned: 4 (million)
% 0.15/0.40 % (11000)Success in time 0.015 s
%------------------------------------------------------------------------------