%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN333+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 09:21:51 AM UTC 2026
% Result : Theorem 8.84s 2.81s
% Output : CNFRefutation 8.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 35 ( 14 ~; 9 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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; 2-2 aty)
% Number of variables : 22 ( 4 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_5,conjecture,
? [X0,X1] :
! [X2] :
( 'big$uf'(X0,X1)
=> ( ( ( 'big$ug'(X0,X1)
& 'big$uf'(X0,X1) )
=> ( 'big$ug'(X2,X2)
& 'big$ug'(X0,X2) ) )
& 'big$uf'(X2,X2)
& 'big$uf'(X1,X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
! [X2] :
( 'big$uf'(X0,X1)
=> ( ( ( 'big$ug'(X0,X1)
& 'big$uf'(X0,X1) )
=> ( 'big$ug'(X2,X2)
& 'big$ug'(X0,X2) ) )
& 'big$uf'(X2,X2)
& 'big$uf'(X1,X2) ) ),
inference(negate_conjecture,[status(cth)],[church_46_14_5]) ).
cnf(c0,plain,
'big$uf'(X0,X1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( 'big$ug'(X1,X0)
| ~ 'big$uf'(sK2(X1,X0),sK2(X1,X0))
| ~ 'big$uf'(X0,sK2(X1,X0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( ~ 'big$ug'(sK2(X1,X0),sK2(X1,X0))
| ~ 'big$ug'(X1,sK2(X1,X0))
| ~ 'big$uf'(sK2(X1,X0),sK2(X1,X0))
| ~ 'big$uf'(X0,sK2(X1,X0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'big$ug'(sK2(X0,X1),sK2(X0,X1))
| ~ 'big$ug'(X0,sK2(X0,X1))
| ~ 'big$uf'(sK2(X0,X1),sK2(X0,X1)) ),
inference(resolution,[status(thm)],[c0,c3]) ).
cnf(d1,plain,
( 'big$ug'(X0,X1)
| ~ 'big$uf'(sK2(X0,X1),sK2(X0,X1)) ),
inference(resolution,[status(thm)],[c0,c2]) ).
cnf(d2,plain,
'big$ug'(X0,X1),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( ~ 'big$ug'(sK2(X0,X1),sK2(X0,X1))
| ~ 'big$uf'(sK2(X0,X1),sK2(X0,X1)) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
~ 'big$ug'(sK2(X0,X1),sK2(X0,X1)),
inference(resolution,[status(thm)],[c0,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d2,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN333+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
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 17:36:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.84/2.81 % SZS status Theorem for theBenchmark.p
% 8.84/2.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------