TSTP Solution File: GRA071^1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRA071^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 : Thu Aug 31 00:00:56 EDT 2023
% Result : CounterSatisfiable 32.70s 32.93s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRA071^1 : TPTP v8.1.2. Released v3.6.0.
% 0.12/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n029.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 : Sun Aug 27 03:56:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 %----Proving TH0
% 0.19/0.49 %------------------------------------------------------------------------------
% 0.19/0.49 % File : GRA071^1 : TPTP v8.1.2. Released v3.6.0.
% 0.19/0.49 % Domain : Graph Theory
% 0.19/0.49 % Problem : R(3,15) <= 256
% 0.19/0.49 % Version : Especial.
% 0.19/0.49 % English :
% 0.19/0.49
% 0.19/0.49 % Refs : [Rad06] Radziszowski (2006), Small Ramsey Numbers
% 0.19/0.49 % : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.19/0.49 % Source : [Bro08]
% 0.19/0.49 % Names :
% 0.19/0.49
% 0.19/0.49 % Status : Theorem
% 0.19/0.49 % Rating : 1.00 v3.7.0
% 0.19/0.49 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.19/0.49 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.19/0.49 % Maximal formula atoms : 0 ( 0 avg)
% 0.19/0.49 % Number of connectives : 1066 ( 305 ~; 1 |; 322 &; 436 @)
% 0.19/0.49 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.19/0.49 % Maximal formula depth : 350 ( 350 avg)
% 0.19/0.49 % Number of types : 1 ( 0 usr)
% 0.19/0.49 % Number of type conns : 132 ( 132 >; 0 *; 0 +; 0 <<)
% 0.19/0.49 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.49 % Number of variables : 37 ( 0 ^; 3 !; 34 ?; 37 :)
% 0.19/0.49 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.49
% 0.19/0.49 % Comments : If a type alpha has exactly n elements, then we can prove
% 0.19/0.49 % R(k,l) > n by finding a graph (symmetric binary relation) on type
% 0.19/0.49 % alpha with no k-cliques and no l-independent sets. Likewise, we
% 0.19/0.49 % can prove R(k,l) <= n by proving every graph (symmetric binary
% 0.19/0.49 % relation) on alpha must have a k-clique or l-independent set.
% 0.19/0.49 % There is one type with 4 elements: o > o. There are two types
% 0.19/0.49 % with 16 elements: o > o > o and (o > o) > o. There are two types
% 0.19/0.49 % with 256 elements: o > o > o > o and o > (o > o) > o. This means
% 0.19/0.49 % we always have two formulations of R(k,l) >/<= 16 and two
% 0.19/0.49 % formulations of R(k,l) >/<= 256.
% 0.19/0.49 % :
% 0.19/0.49 %------------------------------------------------------------------------------
% 0.19/0.49 thf(ramsey_u_3_15_256,conjecture,
% 0.19/0.49 ! [G: ( $o > $o > $o > $o ) > ( $o > $o > $o > $o ) > $o] :
% 0.19/0.49 ( ! [Xx: $o > $o > $o > $o,Xy: $o > $o > $o > $o] :
% 0.19/0.49 ( ( G @ Xx @ Xy )
% 0.19/0.49 => ( G @ Xy @ Xx ) )
% 0.19/0.49 => ( ? [Xx0: $o > $o > $o > $o,Xx1: $o > $o > $o > $o,Xx2: $o > $o > $o > $o,Xp0: ( $o > $o > $o > $o ) > $o,Xp1: ( $o > $o > $o > $o ) > $o] :
% 0.19/0.49 ( ( Xp0 @ Xx0 )
% 0.19/0.49 & ~ ( Xp0 @ Xx1 )
% 0.19/0.49 & ~ ( Xp0 @ Xx2 )
% 0.19/0.49 & ~ ( Xp1 @ Xx0 )
% 0.19/0.49 & ( Xp1 @ Xx1 )
% 0.19/0.49 & ~ ( Xp1 @ Xx2 )
% 0.19/0.49 & ( G @ Xx1 @ Xx0 )
% 0.19/0.49 & ( G @ Xx2 @ Xx0 )
% 0.19/0.49 & ( G @ Xx2 @ Xx1 ) )
% 0.19/0.49 | ? [Xx0: $o > $o > $o > $o,Xx1: $o > $o > $o > $o,Xx2: $o > $o > $o > $o,Xx3: $o > $o > $o > $o,Xx4: $o > $o > $o > $o,Xx5: $o > $o > $o > $o,Xx6: $o > $o > $o > $o,Xx7: $o > $o > $o > $o,Xx8: $o > $o > $o > $o,Xx9: $o > $o > $o > $o,Xx10: $o > $o > $o > $o,Xx11: $o > $o > $o > $o,Xx12: $o > $o > $o > $o,Xx13: $o > $o > $o > $o,Xx14: $o > $o > $o > $o,Xp0: ( $o > $o > $o > $o ) > $o,Xp1: ( $o > $o > $o > $o ) > $o,Xp2: ( $o > $o > $o > $o ) > $o,Xp3: ( $o > $o > $o > $o ) > $o,Xp4: ( $o > $o > $o > $o ) > $o,Xp5: ( $o > $o > $o > $o ) > $o,Xp6: ( $o > $o > $o > $o ) > $o,Xp7: ( $o > $o > $o > $o ) > $o,Xp8: ( $o > $o > $o > $o ) > $o,Xp9: ( $o > $o > $o > $o ) > $o,Xp10: ( $o > $o > $o > $o ) > $o,Xp11: ( $o > $o > $o > $o ) > $o,Xp12: ( $o > $o > $o > $o ) > $o,Xp13: ( $o > $o > $o > $o ) > $o] :
% 0.19/0.49 ( ( Xp0 @ Xx0 )
% 0.19/0.49 & ~ ( Xp0 @ Xx1 )
% 0.19/0.49 & ~ ( Xp0 @ Xx2 )
% 0.19/0.49 & ~ ( Xp0 @ Xx3 )
% 0.19/0.49 & ~ ( Xp0 @ Xx4 )
% 0.19/0.49 & ~ ( Xp0 @ Xx5 )
% 0.19/0.49 & ~ ( Xp0 @ Xx6 )
% 0.19/0.49 & ~ ( Xp0 @ Xx7 )
% 0.19/0.49 & ~ ( Xp0 @ Xx8 )
% 0.19/0.49 & ~ ( Xp0 @ Xx9 )
% 0.19/0.49 & ~ ( Xp0 @ Xx10 )
% 0.19/0.49 & ~ ( Xp0 @ Xx11 )
% 0.19/0.49 & ~ ( Xp0 @ Xx12 )
% 0.19/0.49 & ~ ( Xp0 @ Xx13 )
% 0.19/0.49 & ~ ( Xp0 @ Xx14 )
% 0.19/0.49 & ~ ( Xp1 @ Xx0 )
% 0.19/0.49 & ( Xp1 @ Xx1 )
% 0.19/0.49 & ~ ( Xp1 @ Xx2 )
% 0.19/0.49 & ~ ( Xp1 @ Xx3 )
% 0.19/0.49 & ~ ( Xp1 @ Xx4 )
% 0.19/0.49 & ~ ( Xp1 @ Xx5 )
% 0.19/0.49 & ~ ( Xp1 @ Xx6 )
% 0.19/0.49 & ~ ( Xp1 @ Xx7 )
% 0.19/0.49 & ~ ( Xp1 @ Xx8 )
% 0.19/0.49 & ~ ( Xp1 @ Xx9 )
% 0.19/0.49 & ~ ( Xp1 @ Xx10 )
% 0.19/0.49 & ~ ( Xp1 @ Xx11 )
% 0.19/0.49 & ~ ( Xp1 @ Xx12 )
% 0.19/0.49 & ~ ( Xp1 @ Xx13 )
% 0.19/0.49 & ~ ( Xp1 @ Xx14 )
% 0.19/0.49 & ~ ( Xp2 @ Xx0 )
% 0.19/0.49 & ~ ( Xp2 @ Xx1 )
% 0.19/0.49 & ( Xp2 @ Xx2 )
% 0.19/0.49 & ~ ( Xp2 @ Xx3 )
% 0.19/0.49 & ~ ( Xp2 @ Xx4 )
% 0.19/0.49 & ~ ( Xp2 @ Xx5 )
% 0.19/0.49 & ~ ( Xp2 @ Xx6 )
% 0.19/0.49 & ~ ( Xp2 @ Xx7 )
% 0.19/0.49 & ~ ( Xp2 @ Xx8 )
% 0.19/0.49 & ~ ( Xp2 @ Xx9 )
% 0.19/0.49 & ~ ( Xp2 @ Xx10 )
% 0.19/0.49 & ~ ( Xp2 @ Xx11 )
% 0.19/0.49 & ~ ( Xp2 @ Xx12 )
% 0.19/0.49 & ~ ( Xp2 @ Xx13 )
% 0.19/0.49 & ~ ( Xp2 @ Xx14 )
% 0.19/0.49 & ~ ( Xp3 @ Xx0 )
% 0.19/0.49 & ~ ( Xp3 @ Xx1 )
% 0.19/0.49 & ~ ( Xp3 @ Xx2 )
% 0.19/0.49 & ( Xp3 @ Xx3 )
% 0.19/0.49 & ~ ( Xp3 @ Xx4 )
% 0.19/0.49 & ~ ( Xp3 @ Xx5 )
% 0.19/0.49 & ~ ( Xp3 @ Xx6 )
% 0.19/0.49 & ~ ( Xp3 @ Xx7 )
% 0.19/0.49 & ~ ( Xp3 @ Xx8 )
% 0.19/0.49 & ~ ( Xp3 @ Xx9 )
% 0.19/0.49 & ~ ( Xp3 @ Xx10 )
% 0.19/0.49 & ~ ( Xp3 @ Xx11 )
% 0.19/0.49 & ~ ( Xp3 @ Xx12 )
% 0.19/0.49 & ~ ( Xp3 @ Xx13 )
% 0.19/0.49 & ~ ( Xp3 @ Xx14 )
% 0.19/0.49 & ~ ( Xp4 @ Xx0 )
% 0.19/0.49 & ~ ( Xp4 @ Xx1 )
% 0.19/0.49 & ~ ( Xp4 @ Xx2 )
% 0.19/0.49 & ~ ( Xp4 @ Xx3 )
% 0.19/0.49 & ( Xp4 @ Xx4 )
% 0.19/0.49 & ~ ( Xp4 @ Xx5 )
% 0.19/0.49 & ~ ( Xp4 @ Xx6 )
% 0.19/0.49 & ~ ( Xp4 @ Xx7 )
% 0.19/0.49 & ~ ( Xp4 @ Xx8 )
% 0.19/0.49 & ~ ( Xp4 @ Xx9 )
% 0.19/0.49 & ~ ( Xp4 @ Xx10 )
% 0.19/0.49 & ~ ( Xp4 @ Xx11 )
% 0.19/0.49 & ~ ( Xp4 @ Xx12 )
% 0.19/0.49 & ~ ( Xp4 @ Xx13 )
% 0.19/0.49 & ~ ( Xp4 @ Xx14 )
% 0.19/0.49 & ~ ( Xp5 @ Xx0 )
% 0.19/0.49 & ~ ( Xp5 @ Xx1 )
% 0.19/0.49 & ~ ( Xp5 @ Xx2 )
% 0.19/0.49 & ~ ( Xp5 @ Xx3 )
% 0.19/0.49 & ~ ( Xp5 @ Xx4 )
% 0.19/0.49 & ( Xp5 @ Xx5 )
% 0.19/0.49 & ~ ( Xp5 @ Xx6 )
% 0.19/0.49 & ~ ( Xp5 @ Xx7 )
% 0.19/0.49 & ~ ( Xp5 @ Xx8 )
% 0.19/0.49 & ~ ( Xp5 @ Xx9 )
% 0.19/0.49 & ~ ( Xp5 @ Xx10 )
% 0.19/0.49 & ~ ( Xp5 @ Xx11 )
% 0.19/0.49 & ~ ( Xp5 @ Xx12 )
% 0.19/0.49 & ~ ( Xp5 @ Xx13 )
% 0.19/0.49 & ~ ( Xp5 @ Xx14 )
% 0.19/0.49 & ~ ( Xp6 @ Xx0 )
% 0.19/0.49 & ~ ( Xp6 @ Xx1 )
% 0.19/0.49 & ~ ( Xp6 @ Xx2 )
% 0.19/0.49 & ~ ( Xp6 @ Xx3 )
% 0.19/0.49 & ~ ( Xp6 @ Xx4 )
% 0.19/0.49 & ~ ( Xp6 @ Xx5 )
% 0.19/0.49 & ( Xp6 @ Xx6 )
% 0.19/0.49 & ~ ( Xp6 @ Xx7 )
% 0.19/0.49 & ~ ( Xp6 @ Xx8 )
% 0.19/0.49 & ~ ( Xp6 @ Xx9 )
% 0.19/0.49 & ~ ( Xp6 @ Xx10 )
% 0.19/0.49 & ~ ( Xp6 @ Xx11 )
% 0.19/0.49 & ~ ( Xp6 @ Xx12 )
% 0.19/0.49 & ~ ( Xp6 @ Xx13 )
% 0.19/0.49 & ~ ( Xp6 @ Xx14 )
% 0.19/0.49 & ~ ( Xp7 @ Xx0 )
% 0.19/0.49 & ~ ( Xp7 @ Xx1 )
% 0.19/0.49 & ~ ( Xp7 @ Xx2 )
% 0.19/0.49 & ~ ( Xp7 @ Xx3 )
% 0.19/0.49 & ~ ( Xp7 @ Xx4 )
% 0.19/0.49 & ~ ( Xp7 @ Xx5 )
% 0.19/0.49 & ~ ( Xp7 @ Xx6 )
% 0.19/0.49 & ( Xp7 @ Xx7 )
% 0.19/0.49 & ~ ( Xp7 @ Xx8 )
% 0.19/0.49 & ~ ( Xp7 @ Xx9 )
% 0.19/0.49 & ~ ( Xp7 @ Xx10 )
% 0.19/0.49 & ~ ( Xp7 @ Xx11 )
% 0.19/0.49 & ~ ( Xp7 @ Xx12 )
% 0.19/0.49 & ~ ( Xp7 @ Xx13 )
% 0.19/0.49 & ~ ( Xp7 @ Xx14 )
% 0.19/0.49 & ~ ( Xp8 @ Xx0 )
% 0.19/0.49 & ~ ( Xp8 @ Xx1 )
% 0.19/0.49 & ~ ( Xp8 @ Xx2 )
% 0.19/0.49 & ~ ( Xp8 @ Xx3 )
% 0.19/0.49 & ~ ( Xp8 @ Xx4 )
% 0.19/0.49 & ~ ( Xp8 @ Xx5 )
% 0.19/0.49 & ~ ( Xp8 @ Xx6 )
% 0.19/0.49 & ~ ( Xp8 @ Xx7 )
% 0.19/0.49 & ( Xp8 @ Xx8 )
% 0.19/0.49 & ~ ( Xp8 @ Xx9 )
% 0.19/0.49 & ~ ( Xp8 @ Xx10 )
% 0.19/0.49 & ~ ( Xp8 @ Xx11 )
% 0.19/0.49 & ~ ( Xp8 @ Xx12 )
% 0.19/0.49 & ~ ( Xp8 @ Xx13 )
% 0.19/0.49 & ~ ( Xp8 @ Xx14 )
% 0.19/0.49 & ~ ( Xp9 @ Xx0 )
% 0.19/0.49 & ~ ( Xp9 @ Xx1 )
% 0.19/0.49 & ~ ( Xp9 @ Xx2 )
% 0.19/0.49 & ~ ( Xp9 @ Xx3 )
% 0.19/0.49 & ~ ( Xp9 @ Xx4 )
% 0.19/0.49 & ~ ( Xp9 @ Xx5 )
% 0.19/0.49 & ~ ( Xp9 @ Xx6 )
% 0.19/0.49 & ~ ( Xp9 @ Xx7 )
% 0.19/0.49 & ~ ( Xp9 @ Xx8 )
% 0.19/0.49 & ( Xp9 @ Xx9 )
% 0.19/0.49 & ~ ( Xp9 @ Xx10 )
% 0.19/0.49 & ~ ( Xp9 @ Xx11 )
% 0.19/0.49 & ~ ( Xp9 @ Xx12 )
% 0.19/0.49 & ~ ( Xp9 @ Xx13 )
% 0.19/0.49 & ~ ( Xp9 @ Xx14 )
% 0.19/0.49 & ~ ( Xp10 @ Xx0 )
% 0.19/0.49 & ~ ( Xp10 @ Xx1 )
% 0.19/0.49 & ~ ( Xp10 @ Xx2 )
% 0.19/0.49 & ~ ( Xp10 @ Xx3 )
% 0.19/0.49 & ~ ( Xp10 @ Xx4 )
% 0.19/0.49 & ~ ( Xp10 @ Xx5 )
% 0.19/0.49 & ~ ( Xp10 @ Xx6 )
% 0.19/0.49 & ~ ( Xp10 @ Xx7 )
% 0.19/0.49 & ~ ( Xp10 @ Xx8 )
% 0.19/0.49 & ~ ( Xp10 @ Xx9 )
% 0.19/0.49 & ( Xp10 @ Xx10 )
% 0.19/0.49 & ~ ( Xp10 @ Xx11 )
% 0.19/0.49 & ~ ( Xp10 @ Xx12 )
% 0.19/0.49 & ~ ( Xp10 @ Xx13 )
% 0.19/0.49 & ~ ( Xp10 @ Xx14 )
% 0.19/0.49 & ~ ( Xp11 @ Xx0 )
% 0.19/0.49 & ~ ( Xp11 @ Xx1 )
% 0.19/0.49 & ~ ( Xp11 @ Xx2 )
% 0.19/0.49 & ~ ( Xp11 @ Xx3 )
% 0.19/0.49 & ~ ( Xp11 @ Xx4 )
% 0.19/0.49 & ~ ( Xp11 @ Xx5 )
% 0.19/0.49 & ~ ( Xp11 @ Xx6 )
% 0.19/0.49 & ~ ( Xp11 @ Xx7 )
% 0.19/0.49 & ~ ( Xp11 @ Xx8 )
% 0.19/0.49 & ~ ( Xp11 @ Xx9 )
% 0.19/0.49 & ~ ( Xp11 @ Xx10 )
% 0.19/0.49 & ( Xp11 @ Xx11 )
% 0.19/0.49 & ~ ( Xp11 @ Xx12 )
% 0.19/0.49 & ~ ( Xp11 @ Xx13 )
% 0.19/0.49 & ~ ( Xp11 @ Xx14 )
% 0.19/0.49 & ~ ( Xp12 @ Xx0 )
% 0.19/0.49 & ~ ( Xp12 @ Xx1 )
% 0.19/0.49 & ~ ( Xp12 @ Xx2 )
% 0.19/0.49 & ~ ( Xp12 @ Xx3 )
% 0.19/0.49 & ~ ( Xp12 @ Xx4 )
% 0.19/0.49 & ~ ( Xp12 @ Xx5 )
% 0.19/0.49 & ~ ( Xp12 @ Xx6 )
% 0.19/0.49 & ~ ( Xp12 @ Xx7 )
% 0.19/0.49 & ~ ( Xp12 @ Xx8 )
% 0.19/0.49 & ~ ( Xp12 @ Xx9 )
% 0.19/0.49 & ~ ( Xp12 @ Xx10 )
% 0.19/0.49 & ~ ( Xp12 @ Xx11 )
% 0.19/0.49 & ( Xp12 @ Xx12 )
% 0.19/0.49 & ~ ( Xp12 @ Xx13 )
% 0.19/0.49 & ~ ( Xp12 @ Xx14 )
% 0.19/0.49 & ~ ( Xp13 @ Xx0 )
% 0.19/0.49 & ~ ( Xp13 @ Xx1 )
% 0.19/0.49 & ~ ( Xp13 @ Xx2 )
% 0.19/0.49 & ~ ( Xp13 @ Xx3 )
% 0.19/0.49 & ~ ( Xp13 @ Xx4 )
% 0.19/0.49 & ~ ( Xp13 @ Xx5 )
% 0.19/0.49 & ~ ( Xp13 @ Xx6 )
% 0.19/0.49 & ~ ( Xp13 @ Xx7 )
% 0.19/0.49 & ~ ( Xp13 @ Xx8 )
% 0.19/0.49 & ~ ( Xp13 @ Xx9 )
% 0.19/0.49 & ~ ( Xp13 @ Xx10 )
% 0.19/0.49 & ~ ( Xp13 @ Xx11 )
% 0.19/0.49 & ~ ( Xp13 @ Xx12 )
% 0.19/0.49 & ( Xp13 @ Xx13 )
% 0.19/0.49 & ~ ( Xp13 @ Xx14 )
% 0.19/0.49 & ~ ( G @ Xx1 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx2 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx2 @ Xx1 )
% 0.19/0.49 & ~ ( G @ Xx3 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx3 @ Xx1 )
% 0.19/0.49 & ~ ( G @ Xx3 @ Xx2 )
% 0.19/0.49 & ~ ( G @ Xx4 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx4 @ Xx1 )
% 0.19/0.49 & ~ ( G @ Xx4 @ Xx2 )
% 0.19/0.49 & ~ ( G @ Xx4 @ Xx3 )
% 0.19/0.49 & ~ ( G @ Xx5 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx5 @ Xx1 )
% 0.19/0.49 & ~ ( G @ Xx5 @ Xx2 )
% 0.19/0.49 & ~ ( G @ Xx5 @ Xx3 )
% 0.19/0.49 & ~ ( G @ Xx5 @ Xx4 )
% 0.19/0.49 & ~ ( G @ Xx6 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx6 @ Xx1 )
% 0.19/0.49 & ~ ( G @ Xx6 @ Xx2 )
% 0.19/0.49 & ~ ( G @ Xx6 @ Xx3 )
% 0.19/0.49 & ~ ( G @ Xx6 @ Xx4 )
% 0.19/0.49 & ~ ( G @ Xx6 @ Xx5 )
% 0.19/0.49 & ~ ( G @ Xx7 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx7 @ Xx1 )
% 0.19/0.49 & ~ ( G @ Xx7 @ Xx2 )
% 0.19/0.49 & ~ ( G @ Xx7 @ Xx3 )
% 0.19/0.49 & ~ ( G @ Xx7 @ Xx4 )
% 0.19/0.49 & ~ ( G @ Xx7 @ Xx5 )
% 0.19/0.49 & ~ ( G @ Xx7 @ Xx6 )
% 0.19/0.49 & ~ ( G @ Xx8 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx8 @ Xx1 )
% 0.19/0.49 & ~ ( G @ Xx8 @ Xx2 )
% 0.19/0.49 & ~ ( G @ Xx8 @ Xx3 )
% 0.19/0.49 & ~ ( G @ Xx8 @ Xx4 )
% 0.19/0.49 & ~ ( G @ Xx8 @ Xx5 )
% 0.19/0.49 & ~ ( G @ Xx8 @ Xx6 )
% 0.19/0.49 & ~ ( G @ Xx8 @ Xx7 )
% 0.19/0.49 & ~ ( G @ Xx9 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx9 @ Xx1 )
% 0.19/0.49 & ~ ( G @ Xx9 @ Xx2 )
% 0.19/0.49 & ~ ( G @ Xx9 @ Xx3 )
% 0.19/0.49 & ~ ( G @ Xx9 @ Xx4 )
% 0.19/0.49 & ~ ( G @ Xx9 @ Xx5 )
% 0.19/0.49 & ~ ( G @ Xx9 @ Xx6 )
% 0.19/0.49 & ~ ( G @ Xx9 @ Xx7 )
% 0.19/0.49 & ~ ( G @ Xx9 @ Xx8 )
% 0.19/0.49 & ~ ( G @ Xx10 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx10 @ Xx1 )
% 0.19/0.49 & ~ ( G @ Xx10 @ Xx2 )
% 0.19/0.49 & ~ ( G @ Xx10 @ Xx3 )
% 0.19/0.49 & ~ ( G @ Xx10 @ Xx4 )
% 0.19/0.49 & ~ ( G @ Xx10 @ Xx5 )
% 0.19/0.49 & ~ ( G @ Xx10 @ Xx6 )
% 0.19/0.49 & ~ ( G @ Xx10 @ Xx7 )
% 0.19/0.49 & ~ ( G @ Xx10 @ Xx8 )
% 0.19/0.49 & ~ ( G @ Xx10 @ Xx9 )
% 0.19/0.49 & ~ ( G @ Xx11 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx11 @ Xx1 )
% 0.19/0.49 & ~ ( G @ Xx11 @ Xx2 )
% 0.19/0.49 & ~ ( G @ Xx11 @ Xx3 )
% 0.19/0.49 & ~ ( G @ Xx11 @ Xx4 )
% 0.19/0.49 & ~ ( G @ Xx11 @ Xx5 )
% 0.19/0.49 & ~ ( G @ Xx11 @ Xx6 )
% 0.19/0.49 & ~ ( G @ Xx11 @ Xx7 )
% 0.19/0.49 & ~ ( G @ Xx11 @ Xx8 )
% 0.19/0.49 & ~ ( G @ Xx11 @ Xx9 )
% 0.19/0.49 & ~ ( G @ Xx11 @ Xx10 )
% 0.19/0.49 & ~ ( G @ Xx12 @ Xx0 )
% 0.19/0.49 & ~ ( G @ Xx12 @ Xx1 )
% 0.19/0.49 & ~ ( G @ Xx12 @ Xx2 )
% 0.19/0.49 & ~ ( G @ Xx12 @ Xx3 )
% 0.19/0.49 & ~ ( G @ Xx12 @ Xx4 )
% 0.19/0.49 & ~ ( G @ Xx12 @ Xx5 )
% 0.19/0.50 & ~ ( G @ Xx12 @ Xx6 )
% 0.19/0.50 & ~ ( G @ Xx12 @ Xx7 )
% 0.19/0.50 & ~ ( G @ Xx12 @ Xx8 )
% 0.19/0.50 & ~ ( G @ Xx12 @ Xx9 )
% 0.19/0.50 & ~ ( G @ Xx12 @ Xx10 )
% 0.19/0.50 & ~ ( G @ Xx12 @ Xx11 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx0 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx1 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx2 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx3 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx4 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx5 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx6 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx7 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx8 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx9 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx10 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx11 )
% 0.19/0.50 & ~ ( G @ Xx13 @ Xx12 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx0 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx1 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx2 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx3 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx4 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx5 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx6 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx7 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx8 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx9 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx10 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx11 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx12 )
% 0.19/0.50 & ~ ( G @ Xx14 @ Xx13 ) ) ) ) ).
% 0.19/0.50
% 0.19/0.50 %------------------------------------------------------------------------------
% 0.19/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.888y7giWuc/cvc5---1.0.5_25580.p...
% 0.19/0.50 (declare-sort $$unsorted 0)
% 0.19/0.50 (assert (not (forall ((G (-> (-> Bool Bool Bool Bool) (-> Bool Bool Bool Bool) Bool))) (=> (forall ((Xx (-> Bool Bool Bool Bool)) (Xy (-> Bool Bool Bool Bool))) (=> (@ (@ G Xx) Xy) (@ (@ G Xy) Xx))) (or (exists ((Xx0 (-> Bool Bool Bool Bool)) (Xx1 (-> Bool Bool Bool Bool)) (Xx2 (-> Bool Bool Bool Bool)) (Xp0 (-> (-> Bool Bool Bool Bool) Bool)) (Xp1 (-> (-> Bool Bool Bool Bool) Bool))) (let ((_let_1 (@ G Xx2))) (and (@ Xp0 Xx0) (not (@ Xp0 Xx1)) (not (@ Xp0 Xx2)) (not (@ Xp1 Xx0)) (@ Xp1 Xx1) (not (@ Xp1 Xx2)) (@ (@ G Xx1) Xx0) (@ _let_1 Xx0) (@ _let_1 Xx1)))) (exists ((Xx0 (-> Bool Bool Bool Bool)) (Xx1 (-> Bool Bool Bool Bool)) (Xx2 (-> Bool Bool Bool Bool)) (Xx3 (-> Bool Bool Bool Bool)) (Xx4 (-> Bool Bool Bool Bool)) (Xx5 (-> Bool Bool Bool Bool)) (Xx6 (-> Bool Bool Bool Bool)) (Xx7 (-> Bool Bool Bool Bool)) (Xx8 (-> Bool Bool Bool Bool)) (Xx9 (-> Bool Bool Bool Bool)) (Xx10 (-> Bool Bool Bool Bool)) (Xx11 (-> Bool Bool Bool Bool)) (Xx12 (-> Bool Bool Bool Bool)) (Xx13 (-> Bool Bool Bool Bool)) (Xx14 (-> Bool Bool Bool Bool)) (Xp0 (-> (-> Bool Bool Bool Bool) Bool)) (Xp1 (-> (-> Bool Bool Bool Bool) Bool)) (Xp2 (-> (-> Bool Bool Bool Bool) Bool)) (Xp3 (-> (-> Bool Bool Bool Bool) Bool)) (Xp4 (-> (-> Bool Bool Bool Bool) Bool)) (Xp5 (-> (-> Bool Bool Bool Bool) Bool)) (Xp6 (-> (-> Bool Bool Bool Bool) Bool)) (Xp7 (-> (-> Bool Bool Bool Bool) Bool)) (Xp8 (-> (-> Bool Bool Bool Bool) Bool)) (Xp9 (-> (-> Bool Bool Bool Bool) Bool)) (Xp10 (-> (-> Bool Bool Bool Bool) Bool)) (Xp11 (-> (-> Bool Bool Bool Bool) Bool)) (Xp12 (-> (-> Bool Bool Bool Bool) Bool)) (Xp13 (-> (-> Bool Bool Bool Bool) Bool))) (let ((_let_1 (@ G Xx14))) (let ((_let_2 (@ G Xx13))) (let ((_let_3 (@ G Xx12))) (let ((_let_4 (@ G Xx11))) (let ((_let_5 (@ G Xx10))) (let ((_let_6 (@ G Xx9))) (let ((_let_7 (@ G Xx8))) (let ((_let_8 (@ G Xx7))) (let ((_let_9 (@ G Xx6))) (let ((_let_10 (@ G Xx5))) (let ((_let_11 (@ G Xx4))) (let ((_let_12 (@ G Xx3))) (let ((_let_13 (@ G Xx2))) (and (@ Xp0 Xx0) (not (@ Xp0 Xx1)) (not (@ Xp0 Xx2)) (not (@ Xp0 Xx3)) (not (@ Xp0 Xx4)) (not (@ Xp0 Xx5)) (not (@ Xp0 Xx6)) (not (@ Xp0 Xx7)) (not (@ Xp0 Xx8)) (not (@ Xp0 Xx9)) (not (@ Xp0 Xx10)) (not (@ Xp0 Xx11)) (not (@ Xp0 Xx12)) (not (@ Xp0 Xx13)) (not (@ Xp0 Xx14)) (not (@ Xp1 Xx0)) (@ Xp1 Xx1) (not (@ Xp1 Xx2)) (not (@ Xp1 Xx3)) (not (@ Xp1 Xx4)) (not (@ Xp1 Xx5)) (not (@ Xp1 Xx6)) (not (@ Xp1 Xx7)) (not (@ Xp1 Xx8)) (not (@ Xp1 Xx9)) (not (@ Xp1 Xx10)) (not (@ Xp1 Xx11)) (not (@ Xp1 Xx12)) (not (@ Xp1 Xx13)) (not (@ Xp1 Xx14)) (not (@ Xp2 Xx0)) (not (@ Xp2 Xx1)) (@ Xp2 Xx2) (not (@ Xp2 Xx3)) (not (@ Xp2 Xx4)) (not (@ Xp2 Xx5)) (not (@ Xp2 Xx6)) (not (@ Xp2 Xx7)) (not (@ Xp2 Xx8)) (not (@ Xp2 Xx9)) (not (@ Xp2 Xx10)) (not (@ Xp2 Xx11)) (not (@ Xp2 Xx12)) (not (@ Xp2 Xx13)) (not (@ Xp2 Xx14)) (not (@ Xp3 Xx0)) (not (@ Xp3 Xx1)) (not (@ Xp3 Xx2)) (@ Xp3 Xx3) (not (@ Xp3 Xx4)) (not (@ Xp3 Xx5)) (not (@ Xp3 Xx6)) (not (@ Xp3 Xx7)) (not (@ Xp3 Xx8)) (not (@ Xp3 Xx9)) (not (@ Xp3 Xx10)) (not (@ Xp3 Xx11)) (not (@ Xp3 Xx12)) (not (@ Xp3 Xx13)) (not (@ Xp3 Xx14)) (not (@ Xp4 Xx0)) (not (@ Xp4 Xx1)) (not (@ Xp4 Xx2)) (not (@ Xp4 Xx3)) (@ Xp4 Xx4) (not (@ Xp4 Xx5)) (not (@ Xp4 Xx6)) (not (@ Xp4 Xx7)) (not (@ Xp4 Xx8)) (not (@ Xp4 Xx9)) (not (@ Xp4 Xx10)) (not (@ Xp4 Xx11)) (not (@ Xp4 Xx12)) (not (@ Xp4 Xx13)) (not (@ Xp4 Xx14)) (not (@ Xp5 Xx0)) (not (@ Xp5 Xx1)) (not (@ Xp5 Xx2)) (not (@ Xp5 Xx3)) (not (@ Xp5 Xx4)) (@ Xp5 Xx5) (not (@ Xp5 Xx6)) (not (@ Xp5 Xx7)) (not (@ Xp5 Xx8)) (not (@ Xp5 Xx9)) (not (@ Xp5 Xx10)) (not (@ Xp5 Xx11)) (not (@ Xp5 Xx12)) (not (@ Xp5 Xx13)) (not (@ Xp5 Xx14)) (not (@ Xp6 Xx0)) (not (@ Xp6 Xx1)) (not (@ Xp6 Xx2)) (not (@ Xp6 Xx3)) (not (@ Xp6 Xx4)) (not (@ Xp6 Xx5)) (@ Xp6 Xx6) (not (@ Xp6 Xx7)) (not (@ Xp6 Xx8)) (not (@ Xp6 Xx9)) (not (@ Xp6 Xx10)) (not (@ Xp6 Xx11)) (not (@ Xp6 Xx12)) (not (@ Xp6 Xx13)) (not (@ Xp6 Xx14)) (not (@ Xp7 Xx0)) (not (@ Xp7 Xx1)) (not (@ Xp7 Xx2)) (not (@ Xp7 Xx3)) (not (@ Xp7 Xx4)) (not (@ Xp7 Xx5)) (not (@ Xp7 Xx6)) (@ Xp7 Xx7) (not (@ Xp7 Xx8)) (not (@ Xp7 Xx9)) (not (@ Xp7 Xx10)) (not (@ Xp7 Xx11)) (not (@ Xp7 Xx12)) (not (@ Xp7 Xx13)) (not (@ Xp7 Xx14)) (not (@ Xp8 Xx0)) (not (@ Xp8 Xx1)) (not (@ Xp8 Xx2)) (not (@ Xp8 Xx3)) (not (@ Xp8 Xx4)) (not (@ Xp8 Xx5)) (not (@ Xp8 Xx6)) (not (@ Xp8 Xx7)) (@ Xp8 Xx8) (not (@ Xp8 Xx9)) (not (@ Xp8 Xx10)) (not (@ Xp8 Xx11)) (not (@ Xp8 Xx12)) (not (@ Xp8 Xx13)) (not (@ Xp8 Xx14)) (not (@ Xp9 Xx0)) (not (@ Xp9 Xx1)) (not (@ Xp9 Xx2)) (not (@ Xp9 Xx3)) (not (@ Xp9 Xx4)) (not (@ Xp9 Xx5)) (not (@ Xp9 Xx6)) (not (@ Xp9 Xx7)) (not (@ Xp9 Xx8)) (@ Xp9 Xx9) (not (@ Xp9 Xx10)) (not (@ Xp9 Xx11)) (not (@ Xp9 Xx12)) (not (@ Xp9 Xx13)) (not (@ Xp9 Xx14)) (not (@ Xp10 Xx0)) (not (@ Xp10 Xx1)) (not (@ Xp10 Xx2)) (not (@ Xp10 Xx3)) (not (@ Xp10 Xx4)) (not (@ Xp10 Xx5)) (not (@ Xp10 Xx6)) (not (@ Xp10 Xx7)) (not (@ Xp10 Xx8)) (not (@ Xp10 Xx9)) (@ Xp10 Xx10) (not (@ Xp10 Xx11)) (not (@ Xp10 Xx12)) (not (@ Xp10 Xx13)) (not (@ Xp10 Xx14)) (not (@ Xp11 Xx0)) (not (@ Xp11 Xx1)) (not (@ Xp11 Xx2)) (not (@ Xp11 Xx3)) (not (@ Xp11 Xx4)) (not (@ Xp11 Xx5)) (not (@ Xp11 Xx6)) (not (@ Xp11 Xx7)) (not (@ Xp11 Xx8)) (not (@ Xp11 Xx9)) (not (@ Xp11 Xx10)) (@ Xp11 Xx11) (not (@ Xp11 Xx12)) (not (@ Xp11 Xx13)) (not (@ Xp11 Xx14)) (not (@ Xp12 Xx0)) (not (@ Xp12 Xx1)) (not (@ Xp12 Xx2)) (not (@ Xp12 Xx3)) (not (@ Xp12 Xx4)) (not (@ Xp12 Xx5)) (not (@ Xp12 Xx6)) (not (@ Xp12 Xx7)) (not (@ Xp12 Xx8)) (not (@ Xp12 Xx9)) (not (@ Xp12 Xx10)) (not (@ Xp12 Xx11)) (@ Xp12 Xx12) (not (@ Xp12 Xx13)) (not (@ Xp12 Xx14)) (not (@ Xp13 Xx0)) (not (@ Xp13 Xx1)) (not (@ Xp13 Xx2)) (not (@ Xp13 Xx3)) (not (@ Xp13 Xx4)) (not (@ Xp13 Xx5)) (not (@ Xp13 Xx6)) (not (@ Xp13 Xx7)) (not (@ Xp13 Xx8)) (not (@ Xp13 Xx9)) (not (@ Xp13 Xx10)) (not (@ Xp13 Xx11)) (not (@ Xp13 Xx12)) (@ Xp13 Xx13) (not (@ Xp13 Xx14)) (not (@ (@ G Xx1) Xx0)) (not (@ _let_13 Xx0)) (not (@ _let_13 Xx1)) (not (@ _let_12 Xx0)) (not (@ _let_12 Xx1)) (not (@ _let_12 Xx2)) (not (@ _let_11 Xx0)) (not (@ _let_11 Xx1)) (not (@ _let_11 Xx2)) (not (@ _let_11 Xx3)) (not (@ _let_10 Xx0)) (not (@ _let_10 Xx1)) (not (@ _let_10 Xx2)) (not (@ _let_10 Xx3)) (not (@ _let_10 Xx4)) (not (@ _let_9 Xx0)) (not (@ _let_9 Xx1)) (not (@ _let_9 Xx2)) (not (@ _let_9 Xx3)) (not (@ _let_9 Xx4)) (not (@ _let_9 Xx5)) (not (@ _let_8 Xx0)) (not (@ _let_8 Xx1)) (not (@ _let_8 Xx2)) (not (@ _let_8 Xx3)) (not (@ _let_8 Xx4)) (not (@ _let_8 Xx5)) (not (@ _let_8 Xx6)) (not (@ _let_7 Xx0)) (not (@ _let_7 Xx1)) (not (@ _let_7 Xx2)) (not (@ _let_7 Xx3)) (not (@ _let_7 Xx4)) (not (@ _let_7 Xx5)) (not (@ _let_7 Xx6)) (not (@ _let_7 Xx7)) (not (@ _let_6 Xx0)) (not (@ _let_6 Xx1)) (not (@ _let_6 Xx2)) (not (@ _let_6 Xx3)) (not (@ _let_6 Xx4)) (not (@ _let_6 Xx5)) (not (@ _let_6 Xx6)) (not (@ _let_6 Xx7)) (not (@ _let_6 Xx8)) (not (@ _let_5 Xx0)) (not (@ _let_5 Xx1)) (not (@ _let_5 Xx2)) (not (@ _let_5 Xx3)) (not (@ _let_5 Xx4)) (not (@ _let_5 Xx5)) (not (@ _let_5 Xx6)) (not (@ _let_5 Xx7)) (not (@ _let_5 Xx8)) (not (@ _let_5 Xx9)) (not (@ _let_4 Xx0)) (not (@ _let_4 Xx1)) (not (@ _let_4 Xx2)) (not (@ _let_4 Xx3)) (not (@ _let_4 Xx4)) (not (@ _let_4 Xx5)) (not (@ _let_4 Xx6)) (not (@ _let_4 Xx7)) (not (@ _let_4 Xx8)) (not (@ _let_4 Xx9)) (not (@ _let_4 Xx10)) (not (@ _let_3 Xx0)) (not (@ _let_3 Xx1)) (not (@ _let_3 Xx2)) (not (@ _let_3 Xx3)) (not (@ _let_3 Xx4)) (not (@ _let_3 Xx5)) (not (@ _let_3 Xx6)) (not (@ _let_3 Xx7)) (not (@ _let_3 Xx8)) (not (@ _let_3 Xx9)) (not (@ _let_3 Xx10)) (not (@ _let_3 Xx11)) (not (@ _let_2 Xx0)) (not (@ _let_2 Xx1)) (not (@ _let_2 Xx2)) (not (@ _let_2 Xx3)) (not (@ _let_2 Xx4)) (not (@ _let_2 Xx5)) (not (@ _let_2 Xx6)) (not (@ _let_2 Xx7)) (not (@ _let_2 Xx8)) (not (@ _let_2 Xx9)) (not (@ _let_2 Xx10)) (not (@ _let_2 Xx11)) (not (@ _let_2 Xx12)) (not (@ _let_1 Xx0)) (not (@ _let_1 Xx1)) (not (@ _let_1 Xx2)) (not (@ _let_1 Xx3)) (not (@ _let_1 Xx4)) (not (@ _let_1 Xx5)) (not (@ _let_1 Xx6)) (not (@ _let_1 Xx7)) (not (@ _let_1 Xx8)) (not (@ _let_1 Xx9)) (not (@ _let_1 Xx10)) (not (@ _let_1 Xx11)) (not (@ _let_1 Xx12)) (not (@ _let_1 Xx13))))))))))))))))))))))
% 32.70/32.93 (set-info :filename cvc5---1.0.5_25580)
% 32.70/32.93 (check-sat-assuming ( true ))
% 32.70/32.93 ------- get file name : TPTP file name is GRA071^1
% 32.70/32.93 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25580.smt2...
% 32.70/32.93 --- Run --ho-elim --full-saturate-quant at 10...
% 32.70/32.93 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 32.70/32.93 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 32.70/32.93 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 32.70/32.93 % SZS status CounterSatisfiable for GRA071^1
% 32.70/32.93 % cvc5---1.0.5 exiting
% 32.70/32.94 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------