%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN386+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 : n019.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 09:22:01 AM UTC 2026
% Result : Theorem 9.97s 1.65s
% Output : CNFRefutation 9.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 35 ( 10 ~; 7 |; 6 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 58 ( 6 sgn 22 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2138,conjecture,
( ( ! [X2] :
? [X5] :
! [X6,X7] :
( 'big$ud'(X6,X7,X5)
=> ! [X1,X8] :
( ( 'big$uf'(X7,X8)
& 'big$uf'(X6,X1) )
=> 'big$ud'(X1,X8,X2) ) )
& ? [X0] :
! [X2] :
? [X3] :
! [X4] :
( 'big$us'(X3,X4)
=> 'big$ud'(X4,X0,X2) )
& ! [X0] :
? [X1] : 'big$uf'(X0,X1) )
=> ? [X1] :
! [X2] :
? [X9] :
! [X4] :
( 'big$us'(X9,X4)
=> ! [X8] :
( 'big$uf'(X4,X8)
=> 'big$ud'(X8,X1,X2) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X2] :
? [X5] :
! [X6,X7] :
( 'big$ud'(X6,X7,X5)
=> ! [X1,X8] :
( ( 'big$uf'(X7,X8)
& 'big$uf'(X6,X1) )
=> 'big$ud'(X1,X8,X2) ) )
& ? [X0] :
! [X2] :
? [X3] :
! [X4] :
( 'big$us'(X3,X4)
=> 'big$ud'(X4,X0,X2) )
& ! [X0] :
? [X1] : 'big$uf'(X0,X1) )
=> ? [X1] :
! [X2] :
? [X9] :
! [X4] :
( 'big$us'(X9,X4)
=> ! [X8] :
( 'big$uf'(X4,X8)
=> 'big$ud'(X8,X1,X2) ) ) ),
inference(negate_conjecture,[status(cth)],[x2138]) ).
cnf(c0,plain,
'big$uf'(X0,sK1(X0)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( 'big$ud'(X1,sK2,X0)
| ~ 'big$us'(sK4(X0),X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( 'big$ud'(X3,X4,X2)
| ~ 'big$uf'(X1,X4)
| ~ 'big$uf'(X0,X3)
| ~ 'big$ud'(X0,X1,sK7(X2)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
'big$us'(X0,sK15(X1,X0)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
'big$uf'(sK15(X0,X1),sK16(X0,X1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
~ 'big$ud'(sK16(X0,X1),X0,sK13(X0)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$ud'(sK15(X0,sK4(X1)),sK2,X1),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d1,plain,
( 'big$ud'(X2,X3,X1)
| ~ 'big$uf'(sK2,X3)
| ~ 'big$uf'(sK15(X0,sK4(sK7(X1))),X2) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( 'big$ud'(sK16(X1,sK4(sK7(X2))),X0,X2)
| ~ 'big$uf'(sK2,X0) ),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
~ 'big$uf'(sK2,X0),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN386+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
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 17:40:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.97/1.65 % SZS status Theorem for theBenchmark.p
% 9.97/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------