%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN350+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 : n008.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 09:21:54 AM UTC 2026
% Result : Theorem 9.36s 2.55s
% Output : CNFRefutation 9.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 23 ( 8 ~; 5 |; 2 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 3 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_18_2,conjecture,
! [X0] :
? [X1,X2] :
! [X3] :
( ( 'big$uf'(X0,X3)
<=> 'big$uf'(X3,X0) )
=> ( 'big$uf'(X0,X3)
<=> ( ( 'big$uf'(X1,X3)
=> 'big$uf'(X1,X2) )
& 'big$uf'(X2,X3) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
? [X1,X2] :
! [X3] :
( ( 'big$uf'(X0,X3)
<=> 'big$uf'(X3,X0) )
=> ( 'big$uf'(X0,X3)
<=> ( ( 'big$uf'(X1,X3)
=> 'big$uf'(X1,X2) )
& 'big$uf'(X2,X3) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_18_2]) ).
cnf(c0,plain,
( 'big$uf'(sK3(X0,X1),sK0)
| ~ 'big$uf'(sK0,sK3(X0,X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( 'big$uf'(X1,sK3(X0,X1))
| 'big$uf'(sK0,sK3(X0,X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
( ~ 'big$uf'(sK0,sK3(X1,X0))
| ~ 'big$uf'(X1,X0)
| ~ 'big$uf'(X0,sK3(X1,X0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$uf'(sK0,sK3(X0,sK0)),
inference(factoring,[status(thm)],[c3]) ).
cnf(d1,plain,
'big$uf'(sK3(X0,sK0),sK0),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ 'big$uf'(X0,sK0)
| ~ 'big$uf'(sK0,sK3(X0,sK0)) ),
inference(resolution,[status(thm)],[c8,d0]) ).
cnf(d3,plain,
~ 'big$uf'(X0,sK0),
inference(resolution,[status(thm)],[d0,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN350+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n008.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 17:37:39 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.36/2.55 % SZS status Theorem for theBenchmark.p
% 9.36/2.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------