TSTP Solution File: SYO500^1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO500^1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Tue May 21 09:11:56 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 161 ( 6 unt; 10 typ; 0 def)
% Number of atoms : 1035 ( 147 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 558 ( 204 ~; 350 |; 0 &; 0 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 19 ( 18 >; 1 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 7 con; 0-6 aty)
% Number of variables : 18 ( 0 ^ 12 !; 0 ?; 18 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
f: $o > $o ).
thf(func_def_1,type,
x: $o ).
thf(func_def_6,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_7,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_8,type,
vAND: $o > $o > $o ).
thf(func_def_9,type,
vOR: $o > $o > $o ).
thf(func_def_10,type,
vIMP: $o > $o > $o ).
thf(func_def_11,type,
vNOT: $o > $o ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f288,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f55,f94,f101,f119,f123,f126,f130,f152,f163,f165,f219,f221,f223,f226,f228,f230,f232,f235,f237,f240,f242,f244,f283,f287]) ).
thf(f287,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f286]) ).
thf(f286,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(trivial_inequality_removal,[],[f278]) ).
thf(f278,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f277,f251]) ).
thf(f251,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(forward_demodulation,[],[f102,f62]) ).
thf(f62,plain,
( ( $false = vAPP($o,$o,f,$true) )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f61]) ).
thf(f61,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f,$true) )
| spl0_4 ),
inference(superposition,[],[f53,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f53,plain,
( ( $true != vAPP($o,$o,f,$true) )
| spl0_4 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f52,plain,
( spl0_4
<=> ( $true = vAPP($o,$o,f,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f102,plain,
( ( $true = vAPP($o,$o,f,vAPP($o,$o,f,$true)) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f40,f44]) ).
thf(f44,plain,
( ( vAPP($o,$o,f,x) = $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
thf(f42,plain,
( spl0_2
<=> ( vAPP($o,$o,f,x) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f40,plain,
( ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) = $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f38]) ).
thf(f38,plain,
( spl0_1
<=> ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f277,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f276,f62]) ).
thf(f276,plain,
( ( $false = vAPP($o,$o,f,vAPP($o,$o,f,$true)) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f275,f251]) ).
thf(f275,plain,
( ( $false = vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,$false))) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f274,f50]) ).
thf(f50,plain,
( ( x = $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f48,plain,
( spl0_3
<=> ( x = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f274,plain,
( ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) = $false )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(trivial_inequality_removal,[],[f273]) ).
thf(f273,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) = $false )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f272,f251]) ).
thf(f272,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) = $false )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f8,f50]) ).
thf(f8,plain,
( ( vAPP($o,$o,f,x) = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) = $false ) ),
inference(binary_proxy_clausification,[],[f6]) ).
thf(f6,plain,
vAPP($o,$o,f,x) != vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
vAPP($o,$o,f,x) != vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))),
inference(flattening,[],[f2]) ).
thf(f2,negated_conjecture,
vAPP($o,$o,f,x) != vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
vAPP($o,$o,f,x) = vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f283,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f282]) ).
thf(f282,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(trivial_inequality_removal,[],[f281]) ).
thf(f281,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f251,f277]) ).
thf(f244,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f243]) ).
thf(f243,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217,f215,f213,f211,f210,f208,f205,f203,f202]) ).
thf(f202,plain,
( ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(trivial_inequality_removal,[],[f201]) ).
thf(f201,plain,
( ( $true != $true )
| ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(constrained_superposition,[],[f53,f179]) ).
thf(f203,plain,
( ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(trivial_inequality_removal,[],[f200]) ).
thf(f200,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(constrained_superposition,[],[f62,f179]) ).
thf(f205,plain,
( ( x = $true )
| ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(binary_proxy_clausification,[],[f204]) ).
thf(f204,plain,
( ( x != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(trivial_inequality_removal,[],[f199]) ).
thf(f199,plain,
( ( $true != $true )
| ( x != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(constrained_superposition,[],[f43,f179]) ).
thf(f208,plain,
( ( x = $true )
| ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(binary_proxy_clausification,[],[f207]) ).
thf(f207,plain,
( ( x != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(trivial_inequality_removal,[],[f198]) ).
thf(f198,plain,
( ( $true = $false )
| ( x != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(constrained_superposition,[],[f158,f179]) ).
thf(f210,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(trivial_inequality_removal,[],[f197]) ).
thf(f197,plain,
( ( $true = $false )
| ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(superposition,[],[f172,f179]) ).
thf(f211,plain,
( ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(trivial_inequality_removal,[],[f196]) ).
thf(f196,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(constrained_superposition,[],[f179,f62]) ).
thf(f213,plain,
( ( x = $true )
| ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(binary_proxy_clausification,[],[f212]) ).
thf(f212,plain,
( ( x != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(trivial_inequality_removal,[],[f195]) ).
thf(f195,plain,
( ( $true = $false )
| ( x != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(constrained_superposition,[],[f179,f158]) ).
thf(f215,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f194,plain,
( ( $true = $false )
| ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(superposition,[],[f179,f172]) ).
thf(f217,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f193,f53]) ).
thf(f193,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f179,f4]) ).
thf(f216,plain,
( ( $false != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f192,f53]) ).
thf(f192,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( $false != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(constrained_superposition,[],[f179,f179]) ).
thf(f179,plain,
( ( $true = vAPP($o,$o,f,vAPP($o,$o,f,$false)) )
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f40,f158]) ).
thf(f172,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f,X0) )
| ( $false = X0 ) )
| spl0_4 ),
inference(duplicate_literal_removal,[],[f171]) ).
thf(f171,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| spl0_4 ),
inference(binary_proxy_clausification,[],[f167]) ).
thf(f167,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f,X0) != X0 )
| ( $false = X0 ) )
| spl0_4 ),
inference(superposition,[],[f53,f4]) ).
thf(f180,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f,X0) )
| ( $false = X0 ) )
| spl0_4 ),
inference(superposition,[],[f62,f4]) ).
thf(f158,plain,
( ( vAPP($o,$o,f,x) = $false )
| spl0_2 ),
inference(trivial_inequality_removal,[],[f157]) ).
thf(f157,plain,
( ( $true != $true )
| ( vAPP($o,$o,f,x) = $false )
| spl0_2 ),
inference(superposition,[],[f43,f4]) ).
thf(f169,plain,
( ( $false = vAPP($o,$o,f,$true) )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f168]) ).
thf(f168,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f,$true) )
| spl0_4 ),
inference(superposition,[],[f53,f4]) ).
thf(f43,plain,
( ( vAPP($o,$o,f,x) != $true )
| spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
thf(f66,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f,X0) )
| ( $false = X0 ) )
| spl0_4 ),
inference(duplicate_literal_removal,[],[f65]) ).
thf(f65,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| spl0_4 ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f59,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f,X0) != X0 )
| ( $false = X0 ) )
| spl0_4 ),
inference(superposition,[],[f53,f4]) ).
thf(f70,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f,X0) )
| ( $false = X0 ) )
| spl0_4 ),
inference(superposition,[],[f62,f4]) ).
thf(f7,plain,
( ( vAPP($o,$o,f,x) = $true )
| ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) = $true ) ),
inference(binary_proxy_clausification,[],[f6]) ).
thf(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
thf(f242,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f241]) ).
thf(f241,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217,f215,f213,f211,f210,f208,f205,f203]) ).
thf(f240,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f239]) ).
thf(f239,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(global_subsumption,[],[f238,f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217,f215,f213,f211,f210,f208,f205]) ).
thf(f238,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f206,f49]) ).
thf(f49,plain,
( ( x != $false )
| spl0_3 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f206,plain,
( ( x = $false )
| ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(binary_proxy_clausification,[],[f204]) ).
thf(f237,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f236]) ).
thf(f236,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217,f215,f213,f211,f210,f208,f205]) ).
thf(f235,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f234]) ).
thf(f234,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(global_subsumption,[],[f233,f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217,f215,f213,f211,f210,f208]) ).
thf(f233,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f209,f49]) ).
thf(f209,plain,
( ( x = $false )
| ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(binary_proxy_clausification,[],[f207]) ).
thf(f232,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f231]) ).
thf(f231,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217,f215,f213,f211,f210,f208]) ).
thf(f230,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f229]) ).
thf(f229,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217,f215,f213,f211,f210]) ).
thf(f228,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f227]) ).
thf(f227,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217,f215,f213,f211]) ).
thf(f226,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f225]) ).
thf(f225,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(global_subsumption,[],[f224,f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217,f215,f213]) ).
thf(f224,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f214,f49]) ).
thf(f214,plain,
( ( x = $false )
| ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2 ),
inference(binary_proxy_clausification,[],[f212]) ).
thf(f223,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f222]) ).
thf(f222,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217,f215,f213]) ).
thf(f221,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f220]) ).
thf(f220,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217,f215]) ).
thf(f219,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f218]) ).
thf(f218,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f3,f4,f7,f70,f66,f40,f8,f43,f53,f169,f158,f62,f180,f172,f179,f216,f217]) ).
thf(f165,plain,
( spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f164]) ).
thf(f164,plain,
( $false
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f160,f49]) ).
thf(f160,plain,
( ( x = $false )
| spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f155,plain,
( ( $true != $true )
| ( x = $false )
| spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f43,f98]) ).
thf(f98,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f,X0) )
| ( $false = X0 ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f96]) ).
thf(f96,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f95]) ).
thf(f95,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f,X0) = X0 )
| ( $false = X0 ) )
| ~ spl0_4 ),
inference(superposition,[],[f54,f4]) ).
thf(f54,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f163,plain,
( spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f162]) ).
thf(f162,plain,
( $false
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f161,f49]) ).
thf(f161,plain,
( ( x = $false )
| spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f154,f54]) ).
thf(f154,plain,
( ( $true != vAPP($o,$o,f,$true) )
| ( x = $false )
| spl0_2 ),
inference(superposition,[],[f43,f4]) ).
thf(f152,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f151]) ).
thf(f151,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f150,f136]) ).
thf(f136,plain,
( ( $true != vAPP($o,$o,f,$false) )
| spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f43,f50]) ).
thf(f150,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f149,f140]) ).
thf(f140,plain,
( ( $false = vAPP($o,$o,f,$false) )
| spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f139]) ).
thf(f139,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f,$false) )
| spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f136,f4]) ).
thf(f149,plain,
( ( $true = vAPP($o,$o,f,vAPP($o,$o,f,$false)) )
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f135,f140]) ).
thf(f135,plain,
( ( $true = vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,$false))) )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f40,f50]) ).
thf(f130,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f129]) ).
thf(f129,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f128]) ).
thf(f128,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f109]) ).
thf(f109,plain,
( ( $true = $false )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f107,f98]) ).
thf(f107,plain,
( ( $false = vAPP($o,$o,f,$true) )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f106,f54]) ).
thf(f106,plain,
( ( $false = vAPP($o,$o,f,vAPP($o,$o,f,$true)) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f105,f44]) ).
thf(f105,plain,
( ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) = $false )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f104]) ).
thf(f104,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) = $false )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8,f44]) ).
thf(f126,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f125]) ).
thf(f125,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f111]) ).
thf(f111,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f107,f54]) ).
thf(f123,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f122]) ).
thf(f122,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f121]) ).
thf(f121,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f114]) ).
thf(f114,plain,
( ( $true = $false )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f98,f107]) ).
thf(f119,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f118]) ).
thf(f118,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f116]) ).
thf(f116,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f54,f107]) ).
thf(f101,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f100]) ).
thf(f100,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f99,f54]) ).
thf(f99,plain,
( ( $true != vAPP($o,$o,f,$true) )
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f91,f54]) ).
thf(f91,plain,
( ( $true != vAPP($o,$o,f,vAPP($o,$o,f,$true)) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f39,f44]) ).
thf(f39,plain,
( ( vAPP($o,$o,f,vAPP($o,$o,f,vAPP($o,$o,f,x))) != $true )
| spl0_1 ),
inference(avatar_component_clause,[],[f38]) ).
thf(f94,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f93]) ).
thf(f93,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f92,f57]) ).
thf(f57,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f44,f50]) ).
thf(f92,plain,
( ( $true != vAPP($o,$o,f,$false) )
| spl0_1
| ~ spl0_2
| spl0_4 ),
inference(forward_demodulation,[],[f91,f62]) ).
thf(f55,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f46,f42,f52,f48]) ).
thf(f46,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( x = $false )
| ~ spl0_2 ),
inference(superposition,[],[f44,f4]) ).
thf(f45,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f42,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO500^1 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 09:14:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (11316)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (11319)WARNING: value z3 for option sas not known
% 0.13/0.36 % (11319)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (11323)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.36 % (11320)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (11318)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (11321)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36 % (11322)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.36 % (11323)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.36 % Exception at run slice level% Exception at run slice level
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36 % (11317)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % Exception at run slice level
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (11319)First to succeed.
% 0.13/0.37 % (11321)Also succeeded, but the first one will report.
% 0.13/0.37 % (11319)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11316"
% 0.13/0.37 % (11319)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (11319)------------------------------
% 0.13/0.37 % (11319)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (11319)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (11319)Memory used [KB]: 812
% 0.13/0.37 % (11319)Time elapsed: 0.010 s
% 0.13/0.37 % (11319)Instructions burned: 14 (million)
% 0.13/0.37 % (11316)Success in time 0.023 s
%------------------------------------------------------------------------------