%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN070+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 09:21:13 AM UTC 2026
% Result : Theorem 12.76s 2.52s
% Output : CNFRefutation 12.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 67 ( 24 ~; 28 |; 8 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 36 ( 11 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel46_1,axiom,
! [X0,X1] :
( ( ( ( 'big$uh'(X1,X0)
& 'big$uf'(X1) )
=> 'big$ug'(X1) )
& 'big$uf'(X0) )
=> 'big$ug'(X0) ) ).
fof(pel46_2,axiom,
( ? [X0] :
( ~ 'big$ug'(X0)
& 'big$uf'(X0) )
=> ? [X1] :
( ! [X2] :
( ( ~ 'big$ug'(X2)
& 'big$uf'(X2) )
=> 'big$uj'(X1,X2) )
& ~ 'big$ug'(X1)
& 'big$uf'(X1) ) ) ).
fof(pel46_3,axiom,
! [X0,X1] :
( ( 'big$uh'(X0,X1)
& 'big$uf'(X1)
& 'big$uf'(X0) )
=> ~ 'big$uj'(X1,X0) ) ).
fof(pel46,conjecture,
! [X0] :
( 'big$uf'(X0)
=> 'big$ug'(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'big$uf'(X0)
=> 'big$ug'(X0) ),
inference(negate_conjecture,[status(cth)],[pel46]) ).
cnf(c0,plain,
( 'big$ug'(X0)
| 'big$uf'(X1)
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[pel46_1]) ).
cnf(c1,plain,
( 'big$ug'(X0)
| 'big$uh'(X1,X0)
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[pel46_1]) ).
cnf(c2,plain,
( 'big$ug'(X0)
| ~ 'big$ug'(X1)
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[pel46_1]) ).
cnf(c5,plain,
( ~ 'big$uf'(X1)
| 'big$ug'(X1)
| ~ 'big$uf'(X0)
| 'big$uj'(sK3,X1)
| 'big$ug'(X0) ),
inference(clausification,[status(esa)],[pel46_2]) ).
cnf(c6,plain,
( ~ 'big$uj'(X1,X0)
| ~ 'big$uh'(X0,X1)
| ~ 'big$uf'(X1)
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[pel46_3]) ).
cnf(c7,plain,
'big$uf'(sK7),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
~ 'big$ug'(sK7),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'big$ug'(sK7)
| 'big$uf'(X0) ),
inference(resolution,[status(thm)],[c0,c7]) ).
cnf(d1,plain,
'big$uf'(X0),
inference(resolution,[status(thm)],[c8,d0]) ).
cnf(d2,plain,
( ~ 'big$ug'(X1)
| 'big$ug'(X0) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( 'big$uh'(X1,X0)
| 'big$ug'(X0) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d4,plain,
( ~ 'big$uj'(X1,X0)
| ~ 'big$uh'(X0,X1)
| ~ 'big$uf'(X0) ),
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d5,plain,
( 'big$uj'(sK3,X1)
| 'big$ug'(X0)
| 'big$ug'(X1)
| ~ 'big$uf'(X0) ),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d6,plain,
( 'big$uj'(sK3,X0)
| 'big$ug'(X1)
| 'big$ug'(X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( 'big$uj'(sK3,X0)
| 'big$ug'(X0) ),
inference(resolution,[status(thm)],[d6,c8]) ).
cnf(d8,plain,
( ~ 'big$uh'(X0,sK3)
| ~ 'big$uf'(X0)
| 'big$ug'(X0) ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( ~ 'big$uh'(X0,sK3)
| 'big$ug'(X0) ),
inference(resolution,[status(thm)],[d1,d8]) ).
cnf(d10,plain,
( 'big$ug'(sK3)
| 'big$ug'(X0) ),
inference(resolution,[status(thm)],[d9,d3]) ).
cnf(d11,plain,
'big$ug'(sK3),
inference(resolution,[status(thm)],[d10,c8]) ).
cnf(d12,plain,
'big$ug'(X0),
inference(resolution,[status(thm)],[d11,d2]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN070+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.65 % Computer : n020.cluster.edu
% 0.20/0.65 % Model : x86_64 x86_64
% 0.20/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.65 % Memory : 8046.5625MB
% 0.20/0.65 % OS : Linux 6.8.0-71-generic
% 0.20/0.65 % CPULimit : 300
% 0.24/0.65 % WCLimit : 300
% 0.24/0.65 % DateTime : Sat Sep 26 17:10:04 UTC 2026
% 0.24/0.65 % CPUTime :
% 0.24/0.65 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.76/2.52 % SZS status Theorem for theBenchmark.p
% 12.76/2.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------