%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN352+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 : n002.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 09:21:55 AM UTC 2026
% Result : Theorem 10.01s 1.63s
% Output : CNFRefutation 10.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 2 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 40 ( 11 ~; 11 |; 2 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 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; 2-2 aty)
% Number of variables : 21 ( 2 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_18_4,conjecture,
! [X0,X1] :
? [X2,X3] :
! [X4] :
( 'big$uf'(X0,X1)
=> ( ( 'big$uf'(X2,X3)
=> ( 'big$uf'(X3,X4)
| 'big$uf'(X1,X4) ) )
=> ( ( ( 'big$uf'(X2,X3)
=> ( 'big$uf'(X1,X4)
<=> 'big$uf'(X2,X4) ) )
=> 'big$uf'(X4,X4) )
=> ( ( 'big$uf'(X2,X4)
<=> 'big$uf'(X3,X4) )
& 'big$uf'(X2,X3) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
! [X4] :
( 'big$uf'(X0,X1)
=> ( ( 'big$uf'(X2,X3)
=> ( 'big$uf'(X3,X4)
| 'big$uf'(X1,X4) ) )
=> ( ( ( 'big$uf'(X2,X3)
=> ( 'big$uf'(X1,X4)
<=> 'big$uf'(X2,X4) ) )
=> 'big$uf'(X4,X4) )
=> ( ( 'big$uf'(X2,X4)
<=> 'big$uf'(X3,X4) )
& 'big$uf'(X2,X3) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_18_4]) ).
cnf(c2,plain,
( 'big$uf'(sK4(X0,X1),sK4(X0,X1))
| 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
( 'big$uf'(X1,sK4(X0,X1))
| 'big$uf'(X0,sK4(X0,X1))
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
( ~ 'big$uf'(X0,sK4(X0,X1))
| ~ 'big$uf'(X1,sK4(X0,X1))
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'big$uf'(X0,X0)
| 'big$uf'(X0,sK4(X0,X0)) ),
inference(factoring,[status(thm)],[c8]) ).
cnf(d1,plain,
( ~ 'big$uf'(X0,X0)
| ~ 'big$uf'(X0,sK4(X0,X0))
| ~ 'big$uf'(X0,X0) ),
inference(resolution,[status(thm)],[c9,d0]) ).
cnf(d2,plain,
( ~ 'big$uf'(X0,X0)
| ~ 'big$uf'(X0,X0) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
'big$uf'(X0,X1),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN352+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
% 0.07/0.35 % Computer : n002.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 17:40:05 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.01/1.63 % SZS status Theorem for theBenchmark.p
% 10.01/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------