%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN336+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 : n005.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 8.25s 2.41s
% Output : CNFRefutation 8.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 3 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 10 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 11 ( 2 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_15_1,conjecture,
! [X0] :
? [X1,X2] :
! [X3] :
( 'big$uf'(X0,X3)
=> ( 'big$uf'(X1,X3)
=> ( 'big$uf'(X2,X3)
=> ( 'big$uf'(X1,X0)
=> 'big$uf'(X3,X2) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
? [X1,X2] :
! [X3] :
( 'big$uf'(X0,X3)
=> ( 'big$uf'(X1,X3)
=> ( 'big$uf'(X2,X3)
=> ( 'big$uf'(X1,X0)
=> 'big$uf'(X3,X2) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_15_1]) ).
cnf(c3,plain,
'big$uf'(X0,sK0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
~ 'big$uf'(sK3(X0,X1),X1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c4,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN336+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
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:35:17 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.25/2.41 % SZS status Theorem for theBenchmark.p
% 8.25/2.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------