TPTP Problem File: COL133+1.p
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- Solve Problem
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% File : COL133+1 : TPTP v8.2.0. Released v7.5.0.
% Domain : Combinatory Logic
% Problem : ProofGold problem CombUnif_738_pos_fof
% Version : Especial.
% English :
% Refs : [Urb20] Urban (2020) Email to Geoff Sutcliffe
% Source : [Urb20]
% Names : CombUnif_738_pos_fof.p [Urb20]
% Status : CounterSatisfiable
% Rating : 0.00 v7.5.0
% Syntax : Number of formulae : 3 ( 2 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 8 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 20 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% SPC : FOF_CSA_RFO_SEQ
% Comments : See https://proofgold.org
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fof(keq,axiom,
! [X,Y] : a(a(k,X),Y) = X ).
fof(seq,axiom,
! [X,Y,Z] : a(a(a(s,X),Y),Z) = a(a(X,Z),a(Y,Z)) ).
fof(conj,conjecture,
! [X0,X1,X2,X3] :
( ! [X4,X5,X6,X7] : a(a(a(a(a(a(a(a(X3,X4),X7),X6),X4),a(a(a(a(s,s),X2),X6),X1)),a(s,a(a(a(a(k,s),X2),k),k))),X1),s) = a(a(a(X6,a(X1,s)),s),s)
=> ( ! [X4,X5,X6,X7] : a(a(a(a(a(a(a(a(a(a(a(X3,X7),X4),X6),X5),a(a(a(a(a(a(a(s,X6),a(a(a(a(s,a(a(s,k),X1)),X3),s),X0)),a(X3,X0)),a(a(a(X1,k),X4),s)),X4),X0),s)),a(a(a(a(X5,a(a(X0,a(a(k,X6),s)),s)),s),X5),X4)),a(a(s,a(X6,k)),X1)),a(s,a(s,k))),a(a(a(s,X6),X3),X0)),X4),X0) = a(a(a(a(X5,a(k,a(X3,a(X1,k)))),s),a(X1,a(k,s))),a(X7,X0))
=> ( ! [X4,X5,X6,X7] : a(a(a(a(a(a(a(X2,X6),X5),X5),X6),a(X1,X3)),a(s,a(k,a(a(s,X7),s)))),a(a(X1,X4),a(a(s,s),X7))) = a(a(a(X5,a(s,s)),s),X5)
=> ( ! [X4,X5,X6,X7] : a(a(a(a(a(a(a(X2,X7),X6),X7),X5),a(X5,X6)),a(a(s,a(X1,X0)),a(a(a(X2,X7),X2),k))),X0) = a(k,a(a(X1,X5),s))
=> ( ! [X4,X5,X6,X7] : a(a(a(a(a(a(a(X1,X7),X7),X6),X5),a(a(a(s,a(a(a(s,s),s),k)),a(a(a(s,s),X6),X6)),a(s,s))),a(a(s,k),X1)),a(X7,a(X6,X5))) = a(s,a(a(a(a(a(X1,a(X1,a(a(X3,X5),X2))),X7),a(a(a(X2,a(a(s,X2),s)),s),k)),s),a(a(a(a(a(k,X0),k),k),X5),X1)))
=> ( ! [X4,X5,X6,X7] : a(a(a(a(a(a(a(a(a(a(a(X1,X7),X6),X6),X5),a(s,a(X4,s))),k),a(a(a(a(k,a(s,k)),k),k),k)),X3),X2),s),X5) = a(a(a(X6,a(s,a(X0,a(s,X0)))),a(X0,a(a(k,a(a(a(a(a(a(k,s),k),X6),X1),X6),k)),X1))),k)
=> ( ! [X4,X5,X6,X7] : a(a(a(a(a(a(a(X0,X5),X6),X6),X7),a(X6,X1)),k),a(X0,a(a(a(X6,X2),s),k))) = a(s,a(a(s,a(a(a(a(a(X3,a(a(X4,a(a(k,X0),X3)),k)),a(a(a(k,X1),X5),X6)),a(s,s)),X4),X1)),a(s,a(k,s))))
=> ( ! [X4,X5,X6,X7] : a(a(a(a(a(a(a(a(X0,X4),X6),X4),X4),a(X4,a(a(X5,X5),s))),X4),k),X6) = a(a(a(a(X4,a(s,a(a(k,a(a(a(s,X5),X5),X3)),X1))),s),a(s,X1)),a(a(k,a(a(X6,k),k)),X0))
=> $false ) ) ) ) ) ) ) ) ).
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