TSTP Solution File: SEV397^5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV397^5 : 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 : n017.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 09:45:07 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 50 ( 7 unt; 14 typ; 0 def)
% Number of atoms : 540 ( 123 equ; 0 cnn)
% Maximal formula atoms : 28 ( 15 avg)
% Number of connectives : 184 ( 61 ~; 75 |; 40 &; 0 @)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 21 ( 20 >; 1 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 5 con; 0-6 aty)
% Number of variables : 15 ( 0 ^ 5 !; 4 ?; 15 :)
% ( 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_1,type,
cZ: a > $o ).
thf(func_def_2,type,
cY: a > $o ).
thf(func_def_3,type,
cX: a > $o ).
thf(func_def_7,type,
sK0: 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(f90,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f79,f89]) ).
thf(f89,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f88]) ).
thf(f88,plain,
( $false
| ~ spl1_1 ),
inference(trivial_inequality_removal,[],[f85]) ).
thf(f85,plain,
( ( $true != $true )
| ~ spl1_1 ),
inference(superposition,[],[f84,f68]) ).
thf(f68,plain,
( ( $true = vAPP(a,$o,cX,sK0) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f66,plain,
( spl1_1
<=> ( $true = vAPP(a,$o,cX,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
thf(f84,plain,
$true != vAPP(a,$o,cX,sK0),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f83,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,cX,sK0) ) ),
inference(forward_demodulation,[],[f28,f82]) ).
thf(f82,plain,
$true = vAPP(a,$o,cY,sK0),
inference(trivial_inequality_removal,[],[f81]) ).
thf(f81,plain,
( ( $true = $false )
| ( $true = vAPP(a,$o,cY,sK0) ) ),
inference(forward_demodulation,[],[f27,f46]) ).
thf(f46,plain,
$false = vAPP(a,$o,cZ,sK0),
inference(trivial_inequality_removal,[],[f44]) ).
thf(f44,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,cZ,sK0) ) ),
inference(superposition,[],[f34,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f34,plain,
$true != vAPP(a,$o,cZ,sK0),
inference(duplicate_literal_removal,[],[f23]) ).
thf(f23,plain,
( ( $true != vAPP(a,$o,cZ,sK0) )
| ( $true != vAPP(a,$o,cZ,sK0) )
| ( $true != vAPP(a,$o,cZ,sK0) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( ( ( ( $true != vAPP(a,$o,cZ,sK0) )
& ( $true != vAPP(a,$o,cY,sK0) ) )
| ( ( $true != vAPP(a,$o,cZ,sK0) )
& ( $true != vAPP(a,$o,cX,sK0) ) )
| ( ( $true != vAPP(a,$o,cZ,sK0) )
& ( ( $true != vAPP(a,$o,cY,sK0) )
| ( $true != vAPP(a,$o,cX,sK0) ) ) ) )
& ( ( ( ( $true = vAPP(a,$o,cZ,sK0) )
| ( $true = vAPP(a,$o,cY,sK0) ) )
& ( ( $true = vAPP(a,$o,cZ,sK0) )
| ( $true = vAPP(a,$o,cX,sK0) ) ) )
| ( $true = vAPP(a,$o,cZ,sK0) )
| ( ( $true = vAPP(a,$o,cY,sK0) )
& ( $true = vAPP(a,$o,cX,sK0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10]) ).
thf(f10,plain,
( ? [X0: a] :
( ( ( ( vAPP(a,$o,cZ,X0) != $true )
& ( vAPP(a,$o,cY,X0) != $true ) )
| ( ( vAPP(a,$o,cZ,X0) != $true )
& ( vAPP(a,$o,cX,X0) != $true ) )
| ( ( vAPP(a,$o,cZ,X0) != $true )
& ( ( vAPP(a,$o,cY,X0) != $true )
| ( vAPP(a,$o,cX,X0) != $true ) ) ) )
& ( ( ( ( vAPP(a,$o,cZ,X0) = $true )
| ( vAPP(a,$o,cY,X0) = $true ) )
& ( ( vAPP(a,$o,cZ,X0) = $true )
| ( vAPP(a,$o,cX,X0) = $true ) ) )
| ( vAPP(a,$o,cZ,X0) = $true )
| ( ( vAPP(a,$o,cY,X0) = $true )
& ( vAPP(a,$o,cX,X0) = $true ) ) ) )
=> ( ( ( ( $true != vAPP(a,$o,cZ,sK0) )
& ( $true != vAPP(a,$o,cY,sK0) ) )
| ( ( $true != vAPP(a,$o,cZ,sK0) )
& ( $true != vAPP(a,$o,cX,sK0) ) )
| ( ( $true != vAPP(a,$o,cZ,sK0) )
& ( ( $true != vAPP(a,$o,cY,sK0) )
| ( $true != vAPP(a,$o,cX,sK0) ) ) ) )
& ( ( ( ( $true = vAPP(a,$o,cZ,sK0) )
| ( $true = vAPP(a,$o,cY,sK0) ) )
& ( ( $true = vAPP(a,$o,cZ,sK0) )
| ( $true = vAPP(a,$o,cX,sK0) ) ) )
| ( $true = vAPP(a,$o,cZ,sK0) )
| ( ( $true = vAPP(a,$o,cY,sK0) )
& ( $true = vAPP(a,$o,cX,sK0) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
? [X0: a] :
( ( ( ( vAPP(a,$o,cZ,X0) != $true )
& ( vAPP(a,$o,cY,X0) != $true ) )
| ( ( vAPP(a,$o,cZ,X0) != $true )
& ( vAPP(a,$o,cX,X0) != $true ) )
| ( ( vAPP(a,$o,cZ,X0) != $true )
& ( ( vAPP(a,$o,cY,X0) != $true )
| ( vAPP(a,$o,cX,X0) != $true ) ) ) )
& ( ( ( ( vAPP(a,$o,cZ,X0) = $true )
| ( vAPP(a,$o,cY,X0) = $true ) )
& ( ( vAPP(a,$o,cZ,X0) = $true )
| ( vAPP(a,$o,cX,X0) = $true ) ) )
| ( vAPP(a,$o,cZ,X0) = $true )
| ( ( vAPP(a,$o,cY,X0) = $true )
& ( vAPP(a,$o,cX,X0) = $true ) ) ) ),
inference(flattening,[],[f8]) ).
thf(f8,plain,
? [X0: a] :
( ( ( ( vAPP(a,$o,cZ,X0) != $true )
& ( vAPP(a,$o,cY,X0) != $true ) )
| ( ( vAPP(a,$o,cZ,X0) != $true )
& ( vAPP(a,$o,cX,X0) != $true ) )
| ( ( vAPP(a,$o,cZ,X0) != $true )
& ( ( vAPP(a,$o,cY,X0) != $true )
| ( vAPP(a,$o,cX,X0) != $true ) ) ) )
& ( ( ( ( vAPP(a,$o,cZ,X0) = $true )
| ( vAPP(a,$o,cY,X0) = $true ) )
& ( ( vAPP(a,$o,cZ,X0) = $true )
| ( vAPP(a,$o,cX,X0) = $true ) ) )
| ( vAPP(a,$o,cZ,X0) = $true )
| ( ( vAPP(a,$o,cY,X0) = $true )
& ( vAPP(a,$o,cX,X0) = $true ) ) ) ),
inference(nnf_transformation,[],[f7]) ).
thf(f7,plain,
? [X0: a] :
( ( ( vAPP(a,$o,cZ,X0) = $true )
| ( ( vAPP(a,$o,cY,X0) = $true )
& ( vAPP(a,$o,cX,X0) = $true ) ) )
<~> ( ( ( vAPP(a,$o,cZ,X0) = $true )
| ( vAPP(a,$o,cY,X0) = $true ) )
& ( ( vAPP(a,$o,cZ,X0) = $true )
| ( vAPP(a,$o,cX,X0) = $true ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a] :
( ( ( vAPP(a,$o,cZ,X0) = $true )
| ( ( vAPP(a,$o,cY,X0) = $true )
& ( vAPP(a,$o,cX,X0) = $true ) ) )
<=> ( ( ( vAPP(a,$o,cZ,X0) = $true )
| ( vAPP(a,$o,cY,X0) = $true ) )
& ( ( vAPP(a,$o,cZ,X0) = $true )
| ( vAPP(a,$o,cX,X0) = $true ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a] :
( ( vAPP(a,$o,cZ,X0)
| ( vAPP(a,$o,cY,X0)
& vAPP(a,$o,cX,X0) ) )
<=> ( ( vAPP(a,$o,cZ,X0)
| vAPP(a,$o,cY,X0) )
& ( vAPP(a,$o,cZ,X0)
| vAPP(a,$o,cX,X0) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a] :
( ( vAPP(a,$o,cZ,X0)
| ( vAPP(a,$o,cY,X0)
& vAPP(a,$o,cX,X0) ) )
<=> ( ( vAPP(a,$o,cZ,X0)
| vAPP(a,$o,cY,X0) )
& ( vAPP(a,$o,cZ,X0)
| vAPP(a,$o,cX,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a] :
( ( vAPP(a,$o,cZ,X0)
| ( vAPP(a,$o,cY,X0)
& vAPP(a,$o,cX,X0) ) )
<=> ( ( vAPP(a,$o,cZ,X0)
| vAPP(a,$o,cY,X0) )
& ( vAPP(a,$o,cZ,X0)
| vAPP(a,$o,cX,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM59_pme) ).
thf(f27,plain,
( ( $true = vAPP(a,$o,cZ,sK0) )
| ( $true = vAPP(a,$o,cY,sK0) ) ),
inference(duplicate_literal_removal,[],[f15]) ).
thf(f15,plain,
( ( $true = vAPP(a,$o,cZ,sK0) )
| ( $true = vAPP(a,$o,cY,sK0) )
| ( $true = vAPP(a,$o,cZ,sK0) )
| ( $true = vAPP(a,$o,cY,sK0) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f28,plain,
( ( $true != vAPP(a,$o,cY,sK0) )
| ( $true != vAPP(a,$o,cX,sK0) ) ),
inference(duplicate_literal_removal,[],[f16]) ).
thf(f16,plain,
( ( $true != vAPP(a,$o,cY,sK0) )
| ( $true != vAPP(a,$o,cX,sK0) )
| ( $true != vAPP(a,$o,cY,sK0) )
| ( $true != vAPP(a,$o,cX,sK0) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f79,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f78]) ).
thf(f78,plain,
( $false
| ~ spl1_2 ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f77,plain,
( ( $true = $false )
| ~ spl1_2 ),
inference(forward_demodulation,[],[f72,f46]) ).
thf(f72,plain,
( ( $true = vAPP(a,$o,cZ,sK0) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f70,plain,
( spl1_2
<=> ( $true = vAPP(a,$o,cZ,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
thf(f73,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f24,f70,f66]) ).
thf(f24,plain,
( ( $true = vAPP(a,$o,cZ,sK0) )
| ( $true = vAPP(a,$o,cX,sK0) ) ),
inference(duplicate_literal_removal,[],[f12]) ).
thf(f12,plain,
( ( $true = vAPP(a,$o,cZ,sK0) )
| ( $true = vAPP(a,$o,cX,sK0) )
| ( $true = vAPP(a,$o,cZ,sK0) )
| ( $true = vAPP(a,$o,cX,sK0) ) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV397^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 11:26:21 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.36 % (635)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (636)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37 % (638)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37 % (639)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)
% 0.21/0.37 % (641)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37 % (640)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.37 % (642)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37 % (643)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)
% 0.21/0.37 % (639)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.37 % (640)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.37 % Exception at run slice level
% 0.21/0.37 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37
% 0.21/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37 % Exception at run slice level
% 0.21/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.38 % Exception at run slice level
% 0.21/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.38 % (639)First to succeed.
% 0.21/0.38 % (639)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-635"
% 0.21/0.38 % (642)Also succeeded, but the first one will report.
% 0.21/0.38 % (639)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (639)------------------------------
% 0.21/0.38 % (639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (639)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (639)Memory used [KB]: 769
% 0.21/0.38 % (639)Time elapsed: 0.005 s
% 0.21/0.38 % (639)Instructions burned: 6 (million)
% 0.21/0.38 % (635)Success in time 0.02 s
%------------------------------------------------------------------------------