%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN345+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 : n006.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 09:21:53 AM UTC 2026
% Result : Theorem 7.68s 1.65s
% Output : CNFRefutation 7.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 54 ( 16 ~; 16 |; 2 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 8 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_16_4,conjecture,
! [X0,X1] :
? [X2,X3] :
! [X4] :
( ( ( 'big$uf'(X0,X1,X2)
=> 'big$uf'(X3,X2,X4) )
=> ( 'big$uf'(X0,X0,X1)
=> 'big$uf'(X0,X1,X1) ) )
=> ( ( ( 'big$uf'(X1,X2,X3)
=> 'big$uf'(X2,X4,X4) )
=> ( 'big$uf'(X0,X1,X1)
=> 'big$uf'(X0,X0,X1) ) )
=> ( 'big$uf'(X2,X3,X4)
=> ( ( 'big$uf'(X0,X0,X1)
<=> 'big$uf'(X0,X1,X1) )
& 'big$uf'(X1,X1,X2) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
! [X4] :
( ( ( 'big$uf'(X0,X1,X2)
=> 'big$uf'(X3,X2,X4) )
=> ( 'big$uf'(X0,X0,X1)
=> 'big$uf'(X0,X1,X1) ) )
=> ( ( ( 'big$uf'(X1,X2,X3)
=> 'big$uf'(X2,X4,X4) )
=> ( 'big$uf'(X0,X1,X1)
=> 'big$uf'(X0,X0,X1) ) )
=> ( 'big$uf'(X2,X3,X4)
=> ( ( 'big$uf'(X0,X0,X1)
<=> 'big$uf'(X0,X1,X1) )
& 'big$uf'(X1,X1,X2) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_16_4]) ).
cnf(c1,plain,
( 'big$uf'(sK0,sK1,sK1)
| ~ 'big$uf'(sK0,sK0,sK1)
| ~ 'big$uf'(X0,X1,sK4(X1,X0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( 'big$uf'(sK0,sK0,sK1)
| ~ 'big$uf'(sK0,sK1,sK1)
| 'big$uf'(sK1,X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( 'big$uf'(sK0,sK0,sK1)
| ~ 'big$uf'(sK0,sK1,sK1)
| ~ 'big$uf'(X0,sK4(X0,X1),sK4(X0,X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
'big$uf'(X0,X1,sK4(X0,X1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c6,plain,
( 'big$uf'(sK0,sK1,sK1)
| 'big$uf'(sK0,sK0,sK1)
| ~ 'big$uf'(sK1,sK1,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
( ~ 'big$uf'(sK0,sK0,sK1)
| ~ 'big$uf'(sK0,sK1,sK1)
| ~ 'big$uf'(sK1,sK1,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'big$uf'(sK0,sK1,sK1)
| ~ 'big$uf'(sK0,sK0,sK1) ),
inference(resolution,[status(thm)],[c1,c4]) ).
cnf(d1,plain,
( 'big$uf'(sK0,sK1,sK1)
| 'big$uf'(sK0,sK0,sK1) ),
inference(resolution,[status(thm)],[c6,c4]) ).
cnf(d2,plain,
( 'big$uf'(sK0,sK1,sK1)
| 'big$uf'(sK0,sK1,sK1) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( 'big$uf'(sK0,sK0,sK1)
| ~ 'big$uf'(X0,sK4(X0,X1),sK4(X0,X1)) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( ~ 'big$uf'(sK0,sK1,sK1)
| ~ 'big$uf'(sK0,sK0,sK1) ),
inference(resolution,[status(thm)],[c7,c4]) ).
cnf(d5,plain,
~ 'big$uf'(sK0,sK0,sK1),
inference(resolution,[status(thm)],[d2,d4]) ).
cnf(d6,plain,
~ 'big$uf'(X0,sK4(X0,X1),sK4(X0,X1)),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( 'big$uf'(sK1,X0,X1)
| 'big$uf'(sK0,sK0,sK1) ),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d8,plain,
'big$uf'(sK1,X0,X1),
inference(resolution,[status(thm)],[d5,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN345+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
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 17:36:10 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.68/1.65 % SZS status Theorem for theBenchmark.p
% 7.68/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------