%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN321+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:21:48 AM UTC 2026
% Result : Theorem 8.80s 11.64s
% Output : CNFRefutation 8.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 21 ( 6 ~; 5 |; 0 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 31 ( 14 sgn 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_3_2,conjecture,
? [X0,X1] :
( ( ? [X2] : 'big$uf'(X0,X2)
=> ! [X2] : 'big$ug'(X0,X2) )
=> ( ! [X2] :
( 'big$ug'(X2,X2)
=> 'big$uf'(X2,X1) )
=> ( 'big$uf'(X0,X1)
<=> ! [X2] : 'big$ug'(X0,X2) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
( ( ? [X2] : 'big$uf'(X0,X2)
=> ! [X2] : 'big$ug'(X0,X2) )
=> ( ! [X2] :
( 'big$ug'(X2,X2)
=> 'big$uf'(X2,X1) )
=> ( 'big$uf'(X0,X1)
<=> ! [X2] : 'big$ug'(X0,X2) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_3_2]) ).
cnf(c0,plain,
( 'big$ug'(X0,X2)
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( 'big$uf'(X0,X1)
| ~ 'big$ug'(X0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( 'big$ug'(X0,X2)
| 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( ~ 'big$uf'(X0,X1)
| ~ 'big$ug'(X0,sK5(X0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'big$ug'(X0,X2)
| 'big$ug'(X0,X1) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d1,plain,
'big$ug'(X0,X1),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
'big$uf'(X0,X1),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
~ 'big$uf'(X0,X1),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN321+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.37 % Computer : n017.cluster.edu
% 0.10/10.37 % Model : x86_64 x86_64
% 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37 % Memory : 8046.5625MB
% 0.10/10.37 % OS : Linux 6.8.0-71-generic
% 0.10/10.37 % CPULimit : 300
% 0.10/10.37 % WCLimit : 300
% 0.10/10.37 % DateTime : Sat Sep 26 17:29:30 UTC 2026
% 0.10/10.37 % CPUTime :
% 0.10/10.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.80/11.64 % SZS status Theorem for theBenchmark.p
% 8.80/11.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------