%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN346+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 09:21:54 AM UTC 2026
% Result : Theorem 8.70s 1.63s
% Output : CNFRefutation 8.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 15 ( 4 ~; 3 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 17 ( 4 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_2,conjecture,
! [X0,X1] :
? [X2,X3] :
! [X4,X5] :
( 'big$uf'(X1,X4)
=> ( 'big$uf'(X2,X5)
=> ( ( 'big$uf'(X3,X5)
& 'big$uf'(X1,X5) )
| ( 'big$uf'(X3,X4)
& 'big$uf'(X2,X4) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
! [X4,X5] :
( 'big$uf'(X1,X4)
=> ( 'big$uf'(X2,X5)
=> ( ( 'big$uf'(X3,X5)
& 'big$uf'(X1,X5) )
| ( 'big$uf'(X3,X4)
& 'big$uf'(X2,X4) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_17_2]) ).
cnf(c0,plain,
'big$uf'(sK1,sK4(X0,X1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( ~ 'big$uf'(X1,sK4(X0,X1))
| ~ 'big$uf'(X0,sK4(X0,X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ 'big$uf'(X0,sK4(X0,sK1)),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN346+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
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 17:39:35 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.70/1.63 % SZS status Theorem for theBenchmark.p
% 8.70/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------