%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN319+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 9.57s 1.63s
% Output : CNFRefutation 9.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 32 ( 6 ~; 8 |; 4 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 18 ( 8 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_2_5,conjecture,
? [X0,X1] :
! [X2,X3] :
( ( ( 'big$uf'(X1)
=> 'big$ug'(X2) )
=> ( ~ 'big$uf'(X2)
& 'big$ug'(X0) ) )
=> ( ( ( 'big$ug'(X0)
| 'big$uf'(X0) )
=> 'big$uh'(X0) )
=> ( ( 'big$uh'(X1)
=> ( ( 'big$ug'(X3)
| 'big$uf'(X3) )
=> 'big$uh'(X3) ) )
& 'big$uh'(X3) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
! [X2,X3] :
( ( ( 'big$uf'(X1)
=> 'big$ug'(X2) )
=> ( ~ 'big$uf'(X2)
& 'big$ug'(X0) ) )
=> ( ( ( 'big$ug'(X0)
| 'big$uf'(X0) )
=> 'big$uh'(X0) )
=> ( ( 'big$uh'(X1)
=> ( ( 'big$ug'(X3)
| 'big$uf'(X3) )
=> 'big$uh'(X3) ) )
& 'big$uh'(X3) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_2_5]) ).
cnf(c0,plain,
( 'big$ug'(X1)
| 'big$uf'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( 'big$uh'(X0)
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
( 'big$uh'(X0)
| ~ 'big$ug'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
~ 'big$uh'(sK3(X0,X1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'big$ug'(X1)
| 'big$uh'(X0) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d1,plain,
'big$ug'(X0),
inference(resolution,[status(thm)],[d0,c8]) ).
cnf(d2,plain,
'big$uh'(X0),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN319+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 17:33:14 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.57/1.63 % SZS status Theorem for theBenchmark.p
% 9.57/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------