TSTP Solution File: SYO043^1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO043^1 : 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 : n016.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 09:10:05 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 259 ( 5 unt; 11 typ; 0 def)
% Number of atoms : 1647 ( 251 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 902 ( 416 ~; 474 |; 6 &; 0 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 22 ( 21 >; 1 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 9 con; 0-6 aty)
% Number of variables : 23 ( 0 ^ 17 !; 0 ?; 23 :)
% ( 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,
q: ( $o > $o ) > $o > $o ).
thf(func_def_2,type,
x: $o ).
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(f454,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f73,f181,f195,f232,f237,f241,f246,f249,f251,f256,f258,f263,f295,f324,f326,f330,f333,f336,f338,f371,f376,f381,f386,f389,f392,f395,f397,f399,f402,f404,f408,f413,f417,f426,f431,f434,f437,f440,f443,f446,f449,f453]) ).
thf(f453,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f452]) ).
thf(f452,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(global_subsumption,[],[f451,f2,f3,f7,f42,f43,f41,f39,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f366,f393,f406]) ).
thf(f406,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f405]) ).
thf(f405,plain,
( ( $true = $false )
| ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f284,f294]) ).
thf(f284,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f283,f6]) ).
thf(f283,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ( vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) = $true )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f9,f47]) ).
thf(f393,plain,
( ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f372,f47]) ).
thf(f372,plain,
( ( vAPP($o,$o,f,x) != $true )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f358]) ).
thf(f358,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) != $true )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f7,f294]) ).
thf(f366,plain,
( ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f365]) ).
thf(f365,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_6 ),
inference(constrained_superposition,[],[f269,f294]) ).
thf(f378,plain,
( ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f353]) ).
thf(f353,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_6 ),
inference(constrained_superposition,[],[f294,f269]) ).
thf(f387,plain,
( ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f383,f47]) ).
thf(f383,plain,
( ( vAPP($o,$o,f,x) != $true )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f349]) ).
thf(f349,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) != $true )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f294,f7]) ).
thf(f347,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f,X0) )
| ( $false = X0 ) )
| ~ spl0_6 ),
inference(superposition,[],[f294,f3]) ).
thf(f294,plain,
( ( $false = vAPP($o,$o,f,$true) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f292]) ).
thf(f292,plain,
( spl0_6
<=> ( $false = vAPP($o,$o,f,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f286,plain,
( ( $false = vAPP($o,$o,f,$true) )
| ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f285,f6]) ).
thf(f285,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ( vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) = $false )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f10,f47]) ).
thf(f267,plain,
( ( $true = vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),$false) )
| ~ spl0_1 ),
inference(superposition,[],[f6,f47]) ).
thf(f269,plain,
( ( $true = vAPP($o,$o,f,vAPP($o,$o,f,$false)) )
| ~ spl0_1 ),
inference(superposition,[],[f7,f47]) ).
thf(f47,plain,
( ( x = $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f45,plain,
( spl0_1
<=> ( x = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f264,plain,
( ( $true = vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),$true) )
| ( x = $false ) ),
inference(superposition,[],[f6,f3]) ).
thf(f6,plain,
vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x) = $true,
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ( vAPP($o,$o,f,x) != vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) )
& ( vAPP($o,$o,f,vAPP($o,$o,f,x)) = $true )
& ( vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x) = $true ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
( ( vAPP($o,$o,f,x) != vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) )
& vAPP($o,$o,f,vAPP($o,$o,f,x))
& vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ( vAPP($o,$o,f,x) != vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) )
& vAPP($o,$o,f,vAPP($o,$o,f,x))
& vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',5) ).
thf(f9,plain,
( ( vAPP($o,$o,f,x) = $true )
| ( vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) = $true ) ),
inference(binary_proxy_clausification,[],[f8]) ).
thf(f8,plain,
vAPP($o,$o,f,x) != vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)),
inference(cnf_transformation,[],[f5]) ).
thf(f10,plain,
( ( vAPP($o,$o,f,x) = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) = $false ) ),
inference(binary_proxy_clausification,[],[f8]) ).
thf(f39,plain,
( ( $true = vAPP($o,$o,f,vAPP($o,$o,f,$true)) )
| ( x = $false ) ),
inference(superposition,[],[f7,f3]) ).
thf(f41,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( vAPP($o,$o,f,x) = $false ) ),
inference(superposition,[],[f7,f3]) ).
thf(f43,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( x = $false )
| ( vAPP($o,$o,f,x) = $false ) ),
inference(binary_proxy_clausification,[],[f40]) ).
thf(f40,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( x != vAPP($o,$o,f,x) ) ),
inference(constrained_superposition,[],[f7,f7]) ).
thf(f42,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( x = $true )
| ( vAPP($o,$o,f,x) = $true ) ),
inference(binary_proxy_clausification,[],[f40]) ).
thf(f7,plain,
vAPP($o,$o,f,vAPP($o,$o,f,x)) = $true,
inference(cnf_transformation,[],[f5]) ).
thf(f3,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f2,plain,
$true != $false,
introduced(fool_axiom,[]) ).
thf(f451,plain,
( ( $true != vAPP($o,$o,f,$false) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f50,f294]) ).
thf(f50,plain,
( ( $true != vAPP($o,$o,f,vAPP($o,$o,f,$true)) )
| spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f49,plain,
( spl0_2
<=> ( $true = vAPP($o,$o,f,vAPP($o,$o,f,$true)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f449,plain,
( ~ spl0_1
| spl0_4
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f448]) ).
thf(f448,plain,
( $false
| ~ spl0_1
| spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f447,f289]) ).
thf(f289,plain,
( ( $false != vAPP($o,$o,f,$false) )
| spl0_5 ),
inference(avatar_component_clause,[],[f288]) ).
thf(f288,plain,
( spl0_5
<=> ( $false = vAPP($o,$o,f,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f447,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f129,f47]) ).
thf(f129,plain,
( ( vAPP($o,$o,f,x) = $false )
| spl0_4 ),
inference(subsumption_resolution,[],[f41,f71]) ).
thf(f71,plain,
( ( $true != vAPP($o,$o,f,$true) )
| spl0_4 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f70,plain,
( spl0_4
<=> ( $true = vAPP($o,$o,f,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f446,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f445]) ).
thf(f445,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_6 ),
inference(global_subsumption,[],[f444,f2,f3,f7,f42,f43,f41,f39,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f366,f393,f406]) ).
thf(f444,plain,
( ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f82,f47]) ).
thf(f82,plain,
( ( vAPP($o,$o,f,x) != $true )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f77,plain,
( ( $true != $true )
| ( vAPP($o,$o,f,x) != $true )
| spl0_4 ),
inference(constrained_superposition,[],[f71,f7]) ).
thf(f443,plain,
( ~ spl0_1
| spl0_4
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f442]) ).
thf(f442,plain,
( $false
| ~ spl0_1
| spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f441,f289]) ).
thf(f441,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f122,f47]) ).
thf(f122,plain,
( ( vAPP($o,$o,f,x) = $false )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f115]) ).
thf(f115,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) = $false )
| spl0_4 ),
inference(superposition,[],[f7,f85]) ).
thf(f85,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f,X0) )
| ( $false = X0 ) )
| spl0_4 ),
inference(duplicate_literal_removal,[],[f84]) ).
thf(f84,plain,
( ! [X0: $o] :
( ( $false = vAPP($o,$o,f,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| spl0_4 ),
inference(binary_proxy_clausification,[],[f76]) ).
thf(f76,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f,X0) != X0 )
| ( $false = X0 ) )
| spl0_4 ),
inference(superposition,[],[f71,f3]) ).
thf(f440,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f439]) ).
thf(f439,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_6 ),
inference(global_subsumption,[],[f438,f2,f3,f7,f42,f43,f41,f39,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f366,f393,f406]) ).
thf(f438,plain,
( ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f97,f47]) ).
thf(f97,plain,
( ( vAPP($o,$o,f,x) != $true )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f92,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) != $true )
| spl0_4 ),
inference(constrained_superposition,[],[f7,f80]) ).
thf(f80,plain,
( ( $false = vAPP($o,$o,f,$true) )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f79,plain,
( ( $true != $true )
| ( $false = vAPP($o,$o,f,$true) )
| spl0_4 ),
inference(superposition,[],[f71,f3]) ).
thf(f437,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f436]) ).
thf(f436,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_6 ),
inference(global_subsumption,[],[f435,f2,f3,f7,f42,f43,f41,f39,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f366,f393,f406]) ).
thf(f435,plain,
( ( $true != vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f100,f47]) ).
thf(f100,plain,
( ( vAPP($o,$o,f,x) != $true )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f88]) ).
thf(f88,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) != $true )
| spl0_4 ),
inference(constrained_superposition,[],[f80,f7]) ).
thf(f434,plain,
( ~ spl0_1
| spl0_4
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f433]) ).
thf(f433,plain,
( $false
| ~ spl0_1
| spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f432,f289]) ).
thf(f432,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f125,f47]) ).
thf(f125,plain,
( ( vAPP($o,$o,f,x) = $false )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f110,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) = $false )
| spl0_4 ),
inference(superposition,[],[f85,f7]) ).
thf(f431,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f430]) ).
thf(f430,plain,
( $false
| ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f429,f289]) ).
thf(f429,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f428,f47]) ).
thf(f428,plain,
( ( vAPP($o,$o,f,x) = $false )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f427]) ).
thf(f427,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) = $false )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f41,f294]) ).
thf(f426,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f425]) ).
thf(f425,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_6 ),
inference(global_subsumption,[],[f424,f2,f3,f7,f42,f43,f41,f39,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f366,f393,f406]) ).
thf(f424,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f423,f47]) ).
thf(f423,plain,
( ( vAPP($o,$o,f,x) = $true )
| spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f422]) ).
thf(f422,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) = $true )
| spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f421,f294]) ).
thf(f421,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( vAPP($o,$o,f,x) = $true )
| spl0_3 ),
inference(subsumption_resolution,[],[f42,f67]) ).
thf(f67,plain,
( ( x != $true )
| spl0_3 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f66,plain,
( spl0_3
<=> ( x = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f417,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f416]) ).
thf(f416,plain,
( $false
| ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f415]) ).
thf(f415,plain,
( ( $true = $false )
| ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f414,f294]) ).
thf(f414,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ~ spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f277,f289]) ).
thf(f277,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_1 ),
inference(superposition,[],[f269,f3]) ).
thf(f413,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f412]) ).
thf(f412,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_6 ),
inference(global_subsumption,[],[f411,f2,f3,f7,f42,f43,f41,f39,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f366,f393,f406]) ).
thf(f411,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f410]) ).
thf(f410,plain,
( ( $true = $false )
| ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f409,f294]) ).
thf(f409,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f281,f67]) ).
thf(f281,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( x = $true )
| ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f279]) ).
thf(f279,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( x != vAPP($o,$o,f,$false) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f7,f269]) ).
thf(f408,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f407]) ).
thf(f407,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(global_subsumption,[],[f2,f3,f7,f42,f43,f41,f39,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f366,f393,f406]) ).
thf(f404,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f403]) ).
thf(f403,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(global_subsumption,[],[f2,f3,f7,f42,f43,f41,f39,f51,f55,f61,f64,f146,f139,f138,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f373,f393,f360,f366]) ).
thf(f360,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f51,f294]) ).
thf(f373,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f356]) ).
thf(f356,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f64,f294]) ).
thf(f138,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f,$true) )
| ( $false = vAPP($o,$o,f,X0) )
| ( $false = X0 ) )
| ~ spl0_2 ),
inference(superposition,[],[f64,f64]) ).
thf(f139,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f,$true) )
| ( $false = X0 )
| ( $false = vAPP($o,$o,f,X0) ) )
| ~ spl0_2 ),
inference(superposition,[],[f64,f3]) ).
thf(f146,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f,$true) )
| ( $false = X0 )
| ( $true != vAPP($o,$o,f,X0) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f51,f64]) ).
thf(f64,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f,vAPP($o,$o,f,X0)) )
| ( $false = X0 ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f62]) ).
thf(f62,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f,vAPP($o,$o,f,X0)) )
| ( $false = X0 )
| ( $false = X0 ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f54]) ).
thf(f54,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f,vAPP($o,$o,f,X0)) = X0 )
| ( $false = X0 ) )
| ~ spl0_2 ),
inference(superposition,[],[f51,f3]) ).
thf(f61,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( x = $true )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f59]) ).
thf(f59,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( x = $true )
| ( $true = vAPP($o,$o,f,$true) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f58]) ).
thf(f58,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( x != vAPP($o,$o,f,$true) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f7,f51]) ).
thf(f55,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( vAPP($o,$o,f,x) != $true )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f51,f7]) ).
thf(f51,plain,
( ( $true = vAPP($o,$o,f,vAPP($o,$o,f,$true)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f402,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f401]) ).
thf(f401,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(global_subsumption,[],[f400,f2,f3,f7,f42,f43,f41,f39,f51,f55,f61,f64,f146,f139,f138,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f373,f393,f360]) ).
thf(f400,plain,
( ! [X0: $o] : ( $false = X0 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f367,f203]) ).
thf(f203,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f,X0) )
| ( $false = X0 ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f201]) ).
thf(f201,plain,
( ! [X0: $o] :
( ( $true = vAPP($o,$o,f,X0) )
| ( $false = X0 )
| ( $false = X0 ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[],[f196]) ).
thf(f196,plain,
( ! [X0: $o] :
( ( vAPP($o,$o,f,X0) = X0 )
| ( $false = X0 ) )
| ~ spl0_4 ),
inference(superposition,[],[f72,f3]) ).
thf(f72,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f367,plain,
( ! [X0: $o] :
( ( $false = X0 )
| ( $true != vAPP($o,$o,f,X0) ) )
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f364]) ).
thf(f364,plain,
( ! [X0: $o] :
( ( $true = $false )
| ( $false = X0 )
| ( $true != vAPP($o,$o,f,X0) ) )
| ~ spl0_2
| ~ spl0_6 ),
inference(constrained_superposition,[],[f64,f294]) ).
thf(f399,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f398]) ).
thf(f398,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f369,f72]) ).
thf(f369,plain,
( ( $true != vAPP($o,$o,f,$true) )
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f361]) ).
thf(f361,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f,$true) )
| ~ spl0_2
| ~ spl0_6 ),
inference(constrained_superposition,[],[f51,f294]) ).
thf(f397,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f396]) ).
thf(f396,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(global_subsumption,[],[f2,f3,f7,f42,f43,f41,f39,f51,f55,f61,f64,f146,f139,f138,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f373,f393,f360]) ).
thf(f395,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f394]) ).
thf(f394,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(global_subsumption,[],[f2,f3,f7,f42,f43,f41,f39,f51,f55,f61,f64,f146,f139,f138,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f373,f393]) ).
thf(f392,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f391]) ).
thf(f391,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(global_subsumption,[],[f2,f3,f7,f42,f43,f41,f39,f51,f55,f61,f64,f146,f139,f138,f10,f9,f6,f264,f47,f269,f267,f286,f294,f347,f387,f378,f373]) ).
thf(f389,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f388]) ).
thf(f388,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f382,f72]) ).
thf(f382,plain,
( ( $true != vAPP($o,$o,f,$true) )
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f350]) ).
thf(f350,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f,$true) )
| ~ spl0_2
| ~ spl0_6 ),
inference(constrained_superposition,[],[f294,f51]) ).
thf(f386,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f385]) ).
thf(f385,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f384]) ).
thf(f384,plain,
( ( $true = $false )
| ~ spl0_4
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f348]) ).
thf(f348,plain,
( ( $true = $false )
| ( $true = $false )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f294,f203]) ).
thf(f381,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f380]) ).
thf(f380,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f351]) ).
thf(f351,plain,
( ( $true = $false )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f294,f72]) ).
thf(f376,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f375]) ).
thf(f375,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f374]) ).
thf(f374,plain,
( ( $true = $false )
| ~ spl0_4
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f355]) ).
thf(f355,plain,
( ( $true = $false )
| ( $true = $false )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f203,f294]) ).
thf(f371,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f370]) ).
thf(f370,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f359]) ).
thf(f359,plain,
( ( $true = $false )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f72,f294]) ).
thf(f338,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f337]) ).
thf(f337,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f313,f290]) ).
thf(f290,plain,
( ( $false = vAPP($o,$o,f,$false) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f288]) ).
thf(f313,plain,
( ( $false != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f312]) ).
thf(f312,plain,
( ( $true = $false )
| ( $false != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_5 ),
inference(constrained_superposition,[],[f269,f290]) ).
thf(f336,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f335]) ).
thf(f335,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f334]) ).
thf(f334,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f310,f290]) ).
thf(f310,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f269,f290]) ).
thf(f333,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f332]) ).
thf(f332,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f331,f290]) ).
thf(f331,plain,
( ( $false != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f316,f47]) ).
thf(f316,plain,
( ( vAPP($o,$o,f,x) != $false )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f306]) ).
thf(f306,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) != $false )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f7,f290]) ).
thf(f330,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f329]) ).
thf(f329,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f328]) ).
thf(f328,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f327,f290]) ).
thf(f327,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f305,f47]) ).
thf(f305,plain,
( ( $true = vAPP($o,$o,f,$false) )
| ( x != $false )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f7,f290]) ).
thf(f326,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f325]) ).
thf(f325,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f318,f290]) ).
thf(f318,plain,
( ( $false != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f301]) ).
thf(f301,plain,
( ( $true = $false )
| ( $false != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_5 ),
inference(constrained_superposition,[],[f290,f269]) ).
thf(f324,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f323]) ).
thf(f323,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f322,f290]) ).
thf(f322,plain,
( ( $false != vAPP($o,$o,f,$false) )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f321,f47]) ).
thf(f321,plain,
( ( vAPP($o,$o,f,x) != $false )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f297]) ).
thf(f297,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) != $false )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f290,f7]) ).
thf(f295,plain,
( spl0_5
| spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f286,f45,f292,f288]) ).
thf(f263,plain,
( spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f262]) ).
thf(f262,plain,
( $false
| spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f261,f46]) ).
thf(f46,plain,
( ( x != $false )
| spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f261,plain,
( ( x = $false )
| spl0_3 ),
inference(trivial_inequality_removal,[],[f260]) ).
thf(f260,plain,
( ( $true != $true )
| ( x = $false )
| spl0_3 ),
inference(superposition,[],[f67,f3]) ).
thf(f258,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f257]) ).
thf(f257,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f230,f72]) ).
thf(f230,plain,
( ( $true != vAPP($o,$o,f,$true) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f227,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f,$true) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(constrained_superposition,[],[f51,f213]) ).
thf(f213,plain,
( ( $false = vAPP($o,$o,f,$true) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f212,f128]) ).
thf(f128,plain,
( ( $true = vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),$true) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f6,f68]) ).
thf(f68,plain,
( ( x = $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f212,plain,
( ( $false = vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),$true)) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f211,f68]) ).
thf(f211,plain,
( ( vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) = $false )
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f210]) ).
thf(f210,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) = $false )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f209,f72]) ).
thf(f209,plain,
( ( $false = vAPP($o,$o,f,$true) )
| ( vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) = $false )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f10,f68]) ).
thf(f256,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f255]) ).
thf(f255,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f254,f72]) ).
thf(f254,plain,
( ( $true != vAPP($o,$o,f,$true) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f233,f68]) ).
thf(f233,plain,
( ( vAPP($o,$o,f,x) != $true )
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f224]) ).
thf(f224,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) != $true )
| ~ spl0_3
| ~ spl0_4 ),
inference(constrained_superposition,[],[f7,f213]) ).
thf(f251,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f250]) ).
thf(f250,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f242,f72]) ).
thf(f242,plain,
( ( $true != vAPP($o,$o,f,$true) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f217]) ).
thf(f217,plain,
( ( $true = $false )
| ( $true != vAPP($o,$o,f,$true) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(constrained_superposition,[],[f213,f51]) ).
thf(f249,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f248]) ).
thf(f248,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f247,f72]) ).
thf(f247,plain,
( ( $true != vAPP($o,$o,f,$true) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f243,f68]) ).
thf(f243,plain,
( ( vAPP($o,$o,f,x) != $true )
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f216]) ).
thf(f216,plain,
( ( $true = $false )
| ( vAPP($o,$o,f,x) != $true )
| ~ spl0_3
| ~ spl0_4 ),
inference(constrained_superposition,[],[f213,f7]) ).
thf(f246,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f245]) ).
thf(f245,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f244]) ).
thf(f244,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f215]) ).
thf(f215,plain,
( ( $true = $false )
| ( $true = $false )
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f213,f203]) ).
thf(f241,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f240]) ).
thf(f240,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f218]) ).
thf(f218,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f213,f72]) ).
thf(f237,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f236]) ).
thf(f236,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f235]) ).
thf(f235,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f221]) ).
thf(f221,plain,
( ( $true = $false )
| ( $true = $false )
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f203,f213]) ).
thf(f232,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f231]) ).
thf(f231,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f225]) ).
thf(f225,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f72,f213]) ).
thf(f195,plain,
( spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f184,f66,f70]) ).
thf(f184,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f183]) ).
thf(f183,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( $true = vAPP($o,$o,f,$true) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f182,f128]) ).
thf(f182,plain,
( ( $true = vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),$true)) )
| ( $true = vAPP($o,$o,f,$true) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f176,f68]) ).
thf(f176,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ( vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) = $true )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f9,f68]) ).
thf(f181,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f180]) ).
thf(f180,plain,
( $false
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f179,f71]) ).
thf(f179,plain,
( ( $true = vAPP($o,$o,f,$true) )
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f178,f128]) ).
thf(f178,plain,
( ( $true = vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),$true)) )
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f177,f68]) ).
thf(f177,plain,
( ( vAPP($o,$o,f,vAPP($o,$o,vAPP(sTfun($o,$o),sTfun($o,$o),q,f),x)) = $true )
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f176,f71]) ).
thf(f73,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f61,f49,f70,f66]) ).
thf(f52,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f49,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO043^1 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 08:54:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (31237)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (31241)WARNING: value z3 for option sas not known
% 0.14/0.36 % (31241)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)
% 0.14/0.37 % (31240)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (31243)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (31245)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)
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: % (31246)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)
% 0.14/0.37 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 % (31244)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)
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % (31246)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % (31241)First to succeed.
% 0.14/0.37 % (31245)Also succeeded, but the first one will report.
% 0.14/0.37 % (31244)Also succeeded, but the first one will report.
% 0.14/0.37 % (31239)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (31241)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31237"
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % (31241)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (31241)------------------------------
% 0.14/0.38 % (31241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (31241)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (31241)Memory used [KB]: 858
% 0.14/0.38 % (31241)Time elapsed: 0.012 s
% 0.14/0.38 % (31241)Instructions burned: 21 (million)
% 0.14/0.38 % (31237)Success in time 0.018 s
%------------------------------------------------------------------------------