TPTP Problem File: SYO339^5.p
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% File : SYO339^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem from BASIC-HO-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_1155 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.33 v4.1.0, 0.00 v4.0.0
% Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% Number of atoms : 0 ( 0 equ; 0 cnn)
% Maximal formula atoms : 0 ( 0 avg)
% Number of connectives : 78 ( 0 ~; 0 |; 14 &; 54 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 17 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 0 ^; 12 !; 6 ?; 18 :)
% SPC : TH0_CSA_NEQ_NAR
% Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% project in the Department of Mathematical Sciences at Carnegie
% Mellon University. Distributed under the Creative Commons copyleft
% license: http://creativecommons.org/licenses/by-sa/3.0/
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thf(b,type,
b: $i ).
thf(a,type,
a: $i ).
thf(cBLEDSOE_FENG_SV_IMV_SOL,conjecture,
! [Xr: $i > $i > $o,Xf: $i > $i,X0: $i] :
( ( ! [A: $i > $o] :
( ( ? [Xl: $i] : ( A @ Xl )
& ? [Xu: $i] :
! [Xx: $i] :
( ( A @ Xx )
=> ( Xr @ Xx @ Xu ) ) )
=> ? [Xl: $i] :
( ! [Xx: $i] :
( ( A @ Xx )
=> ( Xr @ Xx @ Xl ) )
& ! [Xy: $i] :
( ! [Xx: $i] :
( ( A @ Xx )
=> ( Xr @ Xx @ Xy ) )
=> ( Xr @ Xl @ Xy ) ) ) )
& ! [Xx: $i] :
( ( Xr @ X0 @ ( Xf @ Xx ) )
=> ? [Xt: $i] :
( ( Xr @ Xt @ Xx )
& ! [Xs: $i] :
( ( ( Xr @ Xt @ Xs )
& ( Xr @ Xs @ Xx ) )
=> ( Xr @ X0 @ ( Xf @ Xs ) ) ) ) )
& ! [Xx: $i] :
( ( Xr @ ( Xf @ Xx ) @ X0 )
=> ? [Xt: $i] :
( ( Xr @ Xx @ Xt )
& ! [Xs: $i] :
( ( ( Xr @ Xs @ Xt )
& ( Xr @ Xx @ Xs ) )
=> ( Xr @ ( Xf @ Xs ) @ X0 ) ) ) )
& ( Xr @ a @ b )
& ( Xr @ ( Xf @ a ) @ X0 )
& ( Xr @ X0 @ ( Xf @ b ) ) )
=> ? [Xx: $i] :
( ( Xr @ a @ Xx )
& ( Xr @ Xx @ b )
& ( Xr @ ( Xf @ Xx ) @ X0 )
& ( Xr @ X0 @ ( Xf @ Xx ) ) ) ) ).
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