TSTP Solution File: SYN343+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN343+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 17:50:27 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 2 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 144 ( 37 avg)
% Number of connectives : 229 ( 85 ~; 109 |; 35 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 3-3 aty)
% Number of variables : 7 ( 3 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(church_46_16_2,plain,
! [A,B,C] :
( ( big_f(A,A)
| big_f(A,A)
| big_f(A,B)
| ~ big_f(B,C) )
& ( ~ big_f(A,A)
| big_f(A,A)
| big_f(A,B)
| ~ big_f(B,C) )
& ( big_f(A,A)
| ~ big_f(B,C)
| big_f(A,B)
| ~ big_f(B,C) )
& ( ~ big_f(A,A)
| ~ big_f(B,C)
| big_f(A,B)
| ~ big_f(B,C) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A,B,C),A)
| ~ big_f(B,C) )
& ( ~ big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A,B,C),A)
| ~ big_f(B,C) )
& ( big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(z(A,B,C),A)
| ~ big_f(B,C) )
& ( ~ big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(z(A,B,C),A)
| ~ big_f(B,C) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(A,A)
| ~ big_f(B,C) )
& ( ~ big_f(A,A)
| big_f(A,A)
| ~ big_f(A,A)
| ~ big_f(B,C) )
& ( big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(A,A)
| ~ big_f(B,C) )
& ( ~ big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(A,A)
| ~ big_f(B,C) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(A,B)
| big_f(A,B) )
& ( ~ big_f(A,A)
| big_f(A,A)
| big_f(A,B)
| big_f(A,B) )
& ( big_f(A,A)
| ~ big_f(B,C)
| big_f(A,B)
| big_f(A,B) )
& ( ~ big_f(A,A)
| ~ big_f(B,C)
| big_f(A,B)
| big_f(A,B) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A,B,C),A)
| big_f(A,B) )
& ( ~ big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A,B,C),A)
| big_f(A,B) )
& ( big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(z(A,B,C),A)
| big_f(A,B) )
& ( ~ big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(z(A,B,C),A)
| big_f(A,B) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(A,A)
| big_f(A,B) )
& ( ~ big_f(A,A)
| big_f(A,A)
| ~ big_f(A,A)
| big_f(A,B) )
& ( big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(A,A)
| big_f(A,B) )
& ( ~ big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(A,A)
| big_f(A,B) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(A,B)
| ~ big_f(z(A,B,C),A) )
& ( ~ big_f(A,A)
| big_f(A,A)
| big_f(A,B)
| ~ big_f(z(A,B,C),A) )
& ( big_f(A,A)
| ~ big_f(B,C)
| big_f(A,B)
| ~ big_f(z(A,B,C),A) )
& ( ~ big_f(A,A)
| ~ big_f(B,C)
| big_f(A,B)
| ~ big_f(z(A,B,C),A) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A,B,C),A)
| ~ big_f(z(A,B,C),A) )
& ( ~ big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A,B,C),A)
| ~ big_f(z(A,B,C),A) )
& ( big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(z(A,B,C),A)
| ~ big_f(z(A,B,C),A) )
& ( ~ big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(z(A,B,C),A)
| ~ big_f(z(A,B,C),A) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(A,A)
| ~ big_f(z(A,B,C),A) )
& ( ~ big_f(A,A)
| big_f(A,A)
| ~ big_f(A,A)
| ~ big_f(z(A,B,C),A) )
& ( big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(A,A)
| ~ big_f(z(A,B,C),A) )
& ( ~ big_f(A,A)
| ~ big_f(B,C)
| ~ big_f(A,A)
| ~ big_f(z(A,B,C),A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN343+1.tptp',unknown),
[] ).
cnf(157075632,plain,
( big_f(A,A)
| big_f(A,B) ),
inference(rewrite,[status(thm)],[church_46_16_2]),
[] ).
cnf(157079408,plain,
~ big_f(B,C),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_16_2,157075632]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[157075632,157079408]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(church_46_16_2,plain,(((big_f(A,A)|big_f(A,A)|big_f(A,B)|~big_f(B,C))&(~big_f(A,A)|big_f(A,A)|big_f(A,B)|~big_f(B,C))&(big_f(A,A)|~big_f(B,C)|big_f(A,B)|~big_f(B,C))&(~big_f(A,A)|~big_f(B,C)|big_f(A,B)|~big_f(B,C))&(big_f(A,A)|big_f(A,A)|~big_f(z(A,B,C),A)|~big_f(B,C))&(~big_f(A,A)|big_f(A,A)|~big_f(z(A,B,C),A)|~big_f(B,C))&(big_f(A,A)|~big_f(B,C)|~big_f(z(A,B,C),A)|~big_f(B,C))&(~big_f(A,A)|~big_f(B,C)|~big_f(z(A,B,C),A)|~big_f(B,C))&(big_f(A,A)|big_f(A,A)|~big_f(A,A)|~big_f(B,C))&(~big_f(A,A)|big_f(A,A)|~big_f(A,A)|~big_f(B,C))&(big_f(A,A)|~big_f(B,C)|~big_f(A,A)|~big_f(B,C))&(~big_f(A,A)|~big_f(B,C)|~big_f(A,A)|~big_f(B,C))&(big_f(A,A)|big_f(A,A)|big_f(A,B)|big_f(A,B))&(~big_f(A,A)|big_f(A,A)|big_f(A,B)|big_f(A,B))&(big_f(A,A)|~big_f(B,C)|big_f(A,B)|big_f(A,B))&(~big_f(A,A)|~big_f(B,C)|big_f(A,B)|big_f(A,B))&(big_f(A,A)|big_f(A,A)|~big_f(z(A,B,C),A)|big_f(A,B))&(~big_f(A,A)|big_f(A,A)|~big_f(z(A,B,C),A)|big_f(A,B))&(big_f(A,A)|~big_f(B,C)|~big_f(z(A,B,C),A)|big_f(A,B))&(~big_f(A,A)|~big_f(B,C)|~big_f(z(A,B,C),A)|big_f(A,B))&(big_f(A,A)|big_f(A,A)|~big_f(A,A)|big_f(A,B))&(~big_f(A,A)|big_f(A,A)|~big_f(A,A)|big_f(A,B))&(big_f(A,A)|~big_f(B,C)|~big_f(A,A)|big_f(A,B))&(~big_f(A,A)|~big_f(B,C)|~big_f(A,A)|big_f(A,B))&(big_f(A,A)|big_f(A,A)|big_f(A,B)|~big_f(z(A,B,C),A))&(~big_f(A,A)|big_f(A,A)|big_f(A,B)|~big_f(z(A,B,C),A))&(big_f(A,A)|~big_f(B,C)|big_f(A,B)|~big_f(z(A,B,C),A))&(~big_f(A,A)|~big_f(B,C)|big_f(A,B)|~big_f(z(A,B,C),A))&(big_f(A,A)|big_f(A,A)|~big_f(z(A,B,C),A)|~big_f(z(A,B,C),A))&(~big_f(A,A)|big_f(A,A)|~big_f(z(A,B,C),A)|~big_f(z(A,B,C),A))&(big_f(A,A)|~big_f(B,C)|~big_f(z(A,B,C),A)|~big_f(z(A,B,C),A))&(~big_f(A,A)|~big_f(B,C)|~big_f(z(A,B,C),A)|~big_f(z(A,B,C),A))&(big_f(A,A)|big_f(A,A)|~big_f(A,A)|~big_f(z(A,B,C),A))&(~big_f(A,A)|big_f(A,A)|~big_f(A,A)|~big_f(z(A,B,C),A))&(big_f(A,A)|~big_f(B,C)|~big_f(A,A)|~big_f(z(A,B,C),A))&(~big_f(A,A)|~big_f(B,C)|~big_f(A,A)|~big_f(z(A,B,C),A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN343+1.tptp',unknown),[]).
%
% cnf(157075632,plain,(big_f(A,A)|big_f(A,B)),inference(rewrite,[status(thm)],[church_46_16_2]),[]).
%
% cnf(157079408,plain,(~big_f(B,C)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_16_2,157075632]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[157075632,157079408]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------