%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN354+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 : n009.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 09:21:55 AM UTC 2026
% Result : Theorem 10.10s 1.85s
% Output : CNFRefutation 10.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 55 ( 17 ~; 18 |; 4 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 3 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_20_1,conjecture,
! [X0,X1] :
? [X2,X3] :
! [X4] :
( 'big$uf'(X0,X1)
=> ( 'big$ug'(X0,X1)
=> ( ( ( 'big$ug'(X1,X4)
<=> 'big$ug'(X3,X4) )
=> ( 'big$uf'(X2,X3)
=> 'big$uf'(X1,X3) ) )
=> ( ( 'big$ug'(X1,X4)
<=> 'big$ug'(X2,X4) )
=> ( 'big$uf'(X2,X3)
& 'big$uf'(X1,X2)
& 'big$uf'(X0,X2) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
! [X4] :
( 'big$uf'(X0,X1)
=> ( 'big$ug'(X0,X1)
=> ( ( ( 'big$ug'(X1,X4)
<=> 'big$ug'(X3,X4) )
=> ( 'big$uf'(X2,X3)
=> 'big$uf'(X1,X3) ) )
=> ( ( 'big$ug'(X1,X4)
<=> 'big$ug'(X2,X4) )
=> ( 'big$uf'(X2,X3)
& 'big$uf'(X1,X2)
& 'big$uf'(X0,X2) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_20_1]) ).
cnf(c0,plain,
'big$uf'(sK0,sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( 'big$uf'(sK1,X1)
| ~ 'big$uf'(X0,X1)
| 'big$ug'(X1,sK4(X0,X1))
| 'big$ug'(sK1,sK4(X0,X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( 'big$uf'(sK1,X0)
| ~ 'big$uf'(X1,X0)
| ~ 'big$ug'(sK1,sK4(X1,X0))
| ~ 'big$ug'(X0,sK4(X1,X0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
( ~ 'big$uf'(X0,X1)
| ~ 'big$uf'(sK1,X0)
| ~ 'big$uf'(sK0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'big$ug'(sK1,sK4(X0,sK1))
| 'big$uf'(sK1,sK1)
| ~ 'big$uf'(X0,sK1) ),
inference(factoring,[status(thm)],[c3]) ).
cnf(d1,plain,
( ~ 'big$ug'(sK1,sK4(X0,sK1))
| 'big$uf'(sK1,sK1)
| ~ 'big$uf'(X0,sK1)
| 'big$uf'(sK1,sK1)
| ~ 'big$uf'(X0,sK1) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( 'big$uf'(sK1,sK1)
| ~ 'big$uf'(X0,sK1)
| 'big$uf'(sK1,sK1)
| ~ 'big$uf'(X0,sK1) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
'big$uf'(sK1,sK1),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
( ~ 'big$uf'(sK0,sK1)
| ~ 'big$uf'(sK1,X0) ),
inference(resolution,[status(thm)],[d3,c8]) ).
cnf(d5,plain,
~ 'big$uf'(sK1,X0),
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN354+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
% 0.08/0.33 % Computer : n009.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sat Sep 26 17:37:14 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.10/1.85 % SZS status Theorem for theBenchmark.p
% 10.10/1.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------