TSTP Solution File: SET580^5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET580^5 : 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 : n027.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 09:14:13 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 53 ( 2 unt; 13 typ; 0 def)
% Number of atoms : 643 ( 173 equ; 0 cnn)
% Maximal formula atoms : 44 ( 16 avg)
% Number of connectives : 287 ( 109 ~; 106 |; 57 &; 0 @)
% ( 13 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 38 ( 37 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 5 con; 0-6 aty)
% Number of variables : 34 ( 0 ^ 16 !; 12 ?; 34 :)
% ( 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 ).
thf(func_def_5,type,
sK1: a > $o ).
thf(func_def_6,type,
sK2: a > $o ).
thf(func_def_8,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_9,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_10,type,
vAND: $o > $o > $o ).
thf(func_def_11,type,
vOR: $o > $o > $o ).
thf(func_def_12,type,
vIMP: $o > $o > $o ).
thf(func_def_13,type,
vNOT: $o > $o ).
thf(func_def_14,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f92,plain,
$false,
inference(avatar_sat_refutation,[],[f69,f84,f91]) ).
thf(f91,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f90]) ).
thf(f90,plain,
( $false
| ~ spl3_1
| ~ spl3_2 ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f87,plain,
( ( $true != $true )
| ~ spl3_1
| ~ spl3_2 ),
inference(superposition,[],[f86,f67]) ).
thf(f67,plain,
( ( $true = vAPP(a,$o,sK2,sK0) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f66,plain,
( spl3_2
<=> ( $true = vAPP(a,$o,sK2,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
thf(f86,plain,
( ( $true != vAPP(a,$o,sK2,sK0) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f85]) ).
thf(f85,plain,
( ( $true != $true )
| ( $true != vAPP(a,$o,sK2,sK0) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f28,f64]) ).
thf(f64,plain,
( ( $true = vAPP(a,$o,sK1,sK0) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f62]) ).
thf(f62,plain,
( spl3_1
<=> ( $true = vAPP(a,$o,sK1,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
thf(f28,plain,
( ( $true != vAPP(a,$o,sK2,sK0) )
| ( $true != vAPP(a,$o,sK1,sK0) ) ),
inference(duplicate_literal_removal,[],[f18]) ).
thf(f18,plain,
( ( $true != vAPP(a,$o,sK2,sK0) )
| ( $true != vAPP(a,$o,sK1,sK0) )
| ( $true != vAPP(a,$o,sK2,sK0) )
| ( $true != vAPP(a,$o,sK1,sK0) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ( ( $true = vAPP(a,$o,sK2,sK0) )
| ( ( ( $true != vAPP(a,$o,sK1,sK0) )
| ( ( ( $true = vAPP(a,$o,sK1,sK0) )
| ( $true != vAPP(a,$o,sK2,sK0) ) )
& ( ( $true = vAPP(a,$o,sK2,sK0) )
| ( $true != vAPP(a,$o,sK1,sK0) ) ) ) )
& ( ( $true = vAPP(a,$o,sK1,sK0) )
| ( ( $true != vAPP(a,$o,sK1,sK0) )
& ( $true = vAPP(a,$o,sK2,sK0) ) )
| ( ( $true != vAPP(a,$o,sK2,sK0) )
& ( $true = vAPP(a,$o,sK1,sK0) ) ) ) ) )
& ( ( $true != vAPP(a,$o,sK2,sK0) )
| ( ( ( ( $true != vAPP(a,$o,sK1,sK0) )
& ( $true = vAPP(a,$o,sK2,sK0) ) )
| ( ( $true != vAPP(a,$o,sK2,sK0) )
& ( $true = vAPP(a,$o,sK1,sK0) ) )
| ( $true != vAPP(a,$o,sK1,sK0) ) )
& ( ( $true = vAPP(a,$o,sK1,sK0) )
| ( ( ( $true = vAPP(a,$o,sK1,sK0) )
| ( $true != vAPP(a,$o,sK2,sK0) ) )
& ( ( $true = vAPP(a,$o,sK2,sK0) )
| ( $true != vAPP(a,$o,sK1,sK0) ) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f10,f11]) ).
thf(f11,plain,
( ? [X0: a,X1: a > $o,X2: a > $o] :
( ( ( vAPP(a,$o,X2,X0) = $true )
| ( ( ( vAPP(a,$o,X1,X0) != $true )
| ( ( ( vAPP(a,$o,X1,X0) = $true )
| ( vAPP(a,$o,X2,X0) != $true ) )
& ( ( vAPP(a,$o,X2,X0) = $true )
| ( vAPP(a,$o,X1,X0) != $true ) ) ) )
& ( ( vAPP(a,$o,X1,X0) = $true )
| ( ( vAPP(a,$o,X1,X0) != $true )
& ( vAPP(a,$o,X2,X0) = $true ) )
| ( ( vAPP(a,$o,X2,X0) != $true )
& ( vAPP(a,$o,X1,X0) = $true ) ) ) ) )
& ( ( vAPP(a,$o,X2,X0) != $true )
| ( ( ( ( vAPP(a,$o,X1,X0) != $true )
& ( vAPP(a,$o,X2,X0) = $true ) )
| ( ( vAPP(a,$o,X2,X0) != $true )
& ( vAPP(a,$o,X1,X0) = $true ) )
| ( vAPP(a,$o,X1,X0) != $true ) )
& ( ( vAPP(a,$o,X1,X0) = $true )
| ( ( ( vAPP(a,$o,X1,X0) = $true )
| ( vAPP(a,$o,X2,X0) != $true ) )
& ( ( vAPP(a,$o,X2,X0) = $true )
| ( vAPP(a,$o,X1,X0) != $true ) ) ) ) ) ) )
=> ( ( ( $true = vAPP(a,$o,sK2,sK0) )
| ( ( ( $true != vAPP(a,$o,sK1,sK0) )
| ( ( ( $true = vAPP(a,$o,sK1,sK0) )
| ( $true != vAPP(a,$o,sK2,sK0) ) )
& ( ( $true = vAPP(a,$o,sK2,sK0) )
| ( $true != vAPP(a,$o,sK1,sK0) ) ) ) )
& ( ( $true = vAPP(a,$o,sK1,sK0) )
| ( ( $true != vAPP(a,$o,sK1,sK0) )
& ( $true = vAPP(a,$o,sK2,sK0) ) )
| ( ( $true != vAPP(a,$o,sK2,sK0) )
& ( $true = vAPP(a,$o,sK1,sK0) ) ) ) ) )
& ( ( $true != vAPP(a,$o,sK2,sK0) )
| ( ( ( ( $true != vAPP(a,$o,sK1,sK0) )
& ( $true = vAPP(a,$o,sK2,sK0) ) )
| ( ( $true != vAPP(a,$o,sK2,sK0) )
& ( $true = vAPP(a,$o,sK1,sK0) ) )
| ( $true != vAPP(a,$o,sK1,sK0) ) )
& ( ( $true = vAPP(a,$o,sK1,sK0) )
| ( ( ( $true = vAPP(a,$o,sK1,sK0) )
| ( $true != vAPP(a,$o,sK2,sK0) ) )
& ( ( $true = vAPP(a,$o,sK2,sK0) )
| ( $true != vAPP(a,$o,sK1,sK0) ) ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
? [X0: a,X1: a > $o,X2: a > $o] :
( ( ( vAPP(a,$o,X2,X0) = $true )
| ( ( ( vAPP(a,$o,X1,X0) != $true )
| ( ( ( vAPP(a,$o,X1,X0) = $true )
| ( vAPP(a,$o,X2,X0) != $true ) )
& ( ( vAPP(a,$o,X2,X0) = $true )
| ( vAPP(a,$o,X1,X0) != $true ) ) ) )
& ( ( vAPP(a,$o,X1,X0) = $true )
| ( ( vAPP(a,$o,X1,X0) != $true )
& ( vAPP(a,$o,X2,X0) = $true ) )
| ( ( vAPP(a,$o,X2,X0) != $true )
& ( vAPP(a,$o,X1,X0) = $true ) ) ) ) )
& ( ( vAPP(a,$o,X2,X0) != $true )
| ( ( ( ( vAPP(a,$o,X1,X0) != $true )
& ( vAPP(a,$o,X2,X0) = $true ) )
| ( ( vAPP(a,$o,X2,X0) != $true )
& ( vAPP(a,$o,X1,X0) = $true ) )
| ( vAPP(a,$o,X1,X0) != $true ) )
& ( ( vAPP(a,$o,X1,X0) = $true )
| ( ( ( vAPP(a,$o,X1,X0) = $true )
| ( vAPP(a,$o,X2,X0) != $true ) )
& ( ( vAPP(a,$o,X2,X0) = $true )
| ( vAPP(a,$o,X1,X0) != $true ) ) ) ) ) ) ),
inference(flattening,[],[f9]) ).
thf(f9,plain,
? [X0: a,X1: a > $o,X2: a > $o] :
( ( ( vAPP(a,$o,X2,X0) = $true )
| ( ( ( vAPP(a,$o,X1,X0) != $true )
| ( ( ( vAPP(a,$o,X1,X0) = $true )
| ( vAPP(a,$o,X2,X0) != $true ) )
& ( ( vAPP(a,$o,X2,X0) = $true )
| ( vAPP(a,$o,X1,X0) != $true ) ) ) )
& ( ( vAPP(a,$o,X1,X0) = $true )
| ( ( vAPP(a,$o,X1,X0) != $true )
& ( vAPP(a,$o,X2,X0) = $true ) )
| ( ( vAPP(a,$o,X2,X0) != $true )
& ( vAPP(a,$o,X1,X0) = $true ) ) ) ) )
& ( ( vAPP(a,$o,X2,X0) != $true )
| ( ( ( ( vAPP(a,$o,X1,X0) != $true )
& ( vAPP(a,$o,X2,X0) = $true ) )
| ( ( vAPP(a,$o,X2,X0) != $true )
& ( vAPP(a,$o,X1,X0) = $true ) )
| ( vAPP(a,$o,X1,X0) != $true ) )
& ( ( vAPP(a,$o,X1,X0) = $true )
| ( ( ( vAPP(a,$o,X1,X0) = $true )
| ( vAPP(a,$o,X2,X0) != $true ) )
& ( ( vAPP(a,$o,X2,X0) = $true )
| ( vAPP(a,$o,X1,X0) != $true ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f8]) ).
thf(f8,plain,
? [X0: a,X1: a > $o,X2: a > $o] :
( ( ( ( ( vAPP(a,$o,X1,X0) != $true )
& ( vAPP(a,$o,X2,X0) = $true ) )
| ( ( vAPP(a,$o,X2,X0) != $true )
& ( vAPP(a,$o,X1,X0) = $true ) ) )
<=> ( vAPP(a,$o,X1,X0) = $true ) )
<~> ( vAPP(a,$o,X2,X0) != $true ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ! [X0: a,X1: a > $o,X2: a > $o] :
( ( ( ( ( vAPP(a,$o,X1,X0) != $true )
& ( vAPP(a,$o,X2,X0) = $true ) )
| ( ( vAPP(a,$o,X2,X0) != $true )
& ( vAPP(a,$o,X1,X0) = $true ) ) )
<=> ( vAPP(a,$o,X1,X0) = $true ) )
<=> ( vAPP(a,$o,X2,X0) != $true ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a,X1: a > $o,X2: a > $o] :
( ( ( ( ( vAPP(a,$o,X1,X0) != $true )
& ( vAPP(a,$o,X2,X0) = $true ) )
| ( ( vAPP(a,$o,X2,X0) != $true )
& ( vAPP(a,$o,X1,X0) = $true ) ) )
<=> ( vAPP(a,$o,X1,X0) = $true ) )
<=> ( vAPP(a,$o,X2,X0) != $true ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a,X1: a > $o,X2: a > $o] :
( ( ( ( ~ vAPP(a,$o,X1,X0)
& vAPP(a,$o,X2,X0) )
| ( ~ vAPP(a,$o,X2,X0)
& vAPP(a,$o,X1,X0) ) )
<=> vAPP(a,$o,X1,X0) )
<=> ~ vAPP(a,$o,X2,X0) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a,X1: a > $o,X2: a > $o] :
( ( ( ( ~ vAPP(a,$o,X1,X0)
& vAPP(a,$o,X2,X0) )
| ( ~ vAPP(a,$o,X2,X0)
& vAPP(a,$o,X1,X0) ) )
<=> vAPP(a,$o,X1,X0) )
<=> ~ vAPP(a,$o,X2,X0) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a,X1: a > $o,X2: a > $o] :
( ( ( ( ~ vAPP(a,$o,X1,X0)
& vAPP(a,$o,X2,X0) )
| ( ~ vAPP(a,$o,X2,X0)
& vAPP(a,$o,X1,X0) ) )
<=> vAPP(a,$o,X1,X0) )
<=> ~ vAPP(a,$o,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_23_pme) ).
thf(f84,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f83]) ).
thf(f83,plain,
( $false
| spl3_2 ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f80,plain,
( ( $true != $true )
| spl3_2 ),
inference(superposition,[],[f79,f77]) ).
thf(f77,plain,
( ( $true = vAPP(a,$o,sK1,sK0) )
| spl3_2 ),
inference(trivial_inequality_removal,[],[f76]) ).
thf(f76,plain,
( ( $true = $false )
| ( $true = vAPP(a,$o,sK1,sK0) )
| spl3_2 ),
inference(forward_demodulation,[],[f29,f71]) ).
thf(f71,plain,
( ( $false = vAPP(a,$o,sK2,sK0) )
| spl3_2 ),
inference(trivial_inequality_removal,[],[f70]) ).
thf(f70,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,sK2,sK0) )
| spl3_2 ),
inference(superposition,[],[f68,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f68,plain,
( ( $true != vAPP(a,$o,sK2,sK0) )
| spl3_2 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f29,plain,
( ( $true = vAPP(a,$o,sK2,sK0) )
| ( $true = vAPP(a,$o,sK1,sK0) ) ),
inference(duplicate_literal_removal,[],[f19]) ).
thf(f19,plain,
( ( $true = vAPP(a,$o,sK2,sK0) )
| ( $true = vAPP(a,$o,sK1,sK0) )
| ( $true = vAPP(a,$o,sK2,sK0) )
| ( $true = vAPP(a,$o,sK1,sK0) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f79,plain,
( ( $true != vAPP(a,$o,sK1,sK0) )
| spl3_2 ),
inference(trivial_inequality_removal,[],[f78]) ).
thf(f78,plain,
( ( $true = $false )
| ( $true != vAPP(a,$o,sK1,sK0) )
| spl3_2 ),
inference(forward_demodulation,[],[f32,f71]) ).
thf(f32,plain,
( ( $true = vAPP(a,$o,sK2,sK0) )
| ( $true != vAPP(a,$o,sK1,sK0) ) ),
inference(duplicate_literal_removal,[],[f23]) ).
thf(f23,plain,
( ( $true = vAPP(a,$o,sK2,sK0) )
| ( $true != vAPP(a,$o,sK1,sK0) )
| ( $true = vAPP(a,$o,sK2,sK0) )
| ( $true != vAPP(a,$o,sK1,sK0) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f69,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f25,f66,f62]) ).
thf(f25,plain,
( ( $true != vAPP(a,$o,sK2,sK0) )
| ( $true = vAPP(a,$o,sK1,sK0) ) ),
inference(duplicate_literal_removal,[],[f14]) ).
thf(f14,plain,
( ( $true != vAPP(a,$o,sK2,sK0) )
| ( $true = vAPP(a,$o,sK1,sK0) )
| ( $true = vAPP(a,$o,sK1,sK0) )
| ( $true != vAPP(a,$o,sK2,sK0) ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET580^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n027.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 16:52:07 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (26884)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (26886)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (26889)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (26887)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 % (26890)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (26887)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.11/0.34 % (26885)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (26891)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 % (26888)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 % 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 % (26888)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 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 % 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 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.35 % (26887)First to succeed.
% 0.11/0.35 % (26887)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26884"
% 0.11/0.35 % (26887)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Theorem for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (26887)------------------------------
% 0.11/0.35 % (26887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35 % (26887)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (26887)Memory used [KB]: 769
% 0.11/0.35 % (26887)Time elapsed: 0.005 s
% 0.11/0.35 % (26887)Instructions burned: 7 (million)
% 0.11/0.35 % (26884)Success in time 0.017 s
%------------------------------------------------------------------------------