%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU388+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 08:41:51 AM UTC 2026
% Result : Theorem 20.01s 5.16s
% Output : CNFRefutation 20.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 146 ( 16 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 187 ( 82 ~; 85 |; 10 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 37 ( 0 sgn 11 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_yellow19,axiom,
! [X0] :
( ( 'top$ustr'(X0)
& 'topological$uspace'(X0)
& ~ 'empty$ucarrier'(X0) )
=> ! [X1] :
( element(X1,'the$ucarrier'(X0))
=> 'neighborhood$usystem'(X0,X1) = 'a$u2$u0$uyellow19'(X0,X1) ) ) ).
fof(fraenkel_a_2_0_yellow19,axiom,
! [X0,X1,X2] :
( ( element(X2,'the$ucarrier'(X1))
& 'top$ustr'(X1)
& 'topological$uspace'(X1)
& ~ 'empty$ucarrier'(X1) )
=> ( in(X0,'a$u2$u0$uyellow19'(X1,X2))
<=> ? [X3] :
( X0 = X3
& 'point$uneighbourhood'(X3,X1,X2) ) ) ) ).
fof(t3_yellow19,conjecture,
! [X0] :
( ( 'top$ustr'(X0)
& 'topological$uspace'(X0)
& ~ 'empty$ucarrier'(X0) )
=> ! [X1] :
( element(X1,'the$ucarrier'(X0))
=> ! [X2] :
( in(X2,'neighborhood$usystem'(X0,X1))
<=> 'point$uneighbourhood'(X2,X0,X1) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'top$ustr'(X0)
& 'topological$uspace'(X0)
& ~ 'empty$ucarrier'(X0) )
=> ! [X1] :
( element(X1,'the$ucarrier'(X0))
=> ! [X2] :
( in(X2,'neighborhood$usystem'(X0,X1))
<=> 'point$uneighbourhood'(X2,X0,X1) ) ) ),
inference(negate_conjecture,[status(cth)],[t3_yellow19]) ).
cnf(c75,plain,
( 'neighborhood$usystem'(X1,X0) = 'a$u2$u0$uyellow19'(X1,X0)
| ~ 'top$ustr'(X1)
| 'empty$ucarrier'(X1)
| ~ 'topological$uspace'(X1)
| ~ element(X0,'the$ucarrier'(X1)) ),
inference(clausification,[status(esa)],[d1_yellow19]) ).
cnf(c189,plain,
( ~ 'top$ustr'(X1)
| 'point$uneighbourhood'(sK96(X0,X1,X2),X1,X2)
| ~ element(X2,'the$ucarrier'(X1))
| 'empty$ucarrier'(X1)
| ~ 'topological$uspace'(X1)
| ~ in(X0,'a$u2$u0$uyellow19'(X1,X2)) ),
inference(clausification,[status(esa)],[fraenkel_a_2_0_yellow19]) ).
cnf(c190,plain,
( ~ 'top$ustr'(X1)
| X0 = sK96(X0,X1,X2)
| ~ element(X2,'the$ucarrier'(X1))
| 'empty$ucarrier'(X1)
| ~ 'topological$uspace'(X1)
| ~ in(X0,'a$u2$u0$uyellow19'(X1,X2)) ),
inference(clausification,[status(esa)],[fraenkel_a_2_0_yellow19]) ).
cnf(c191,plain,
( ~ element(X2,'the$ucarrier'(X0))
| in(X3,'a$u2$u0$uyellow19'(X0,X2))
| ~ 'top$ustr'(X0)
| X3 != X1
| ~ 'point$uneighbourhood'(X1,X0,X2)
| 'empty$ucarrier'(X0)
| ~ 'topological$uspace'(X0) ),
inference(clausification,[status(esa)],[fraenkel_a_2_0_yellow19]) ).
cnf(c383,plain,
~ 'empty$ucarrier'(sK186),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c384,plain,
'topological$uspace'(sK186),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c385,plain,
'top$ustr'(sK186),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c386,plain,
element(sK187,'the$ucarrier'(sK186)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c388,plain,
( 'point$uneighbourhood'(sK188,sK186,sK187)
| in(sK188,'neighborhood$usystem'(sK186,sK187)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c389,plain,
( ~ in(sK188,'neighborhood$usystem'(sK186,sK187))
| ~ 'point$uneighbourhood'(sK188,sK186,sK187) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'top$ustr'(sK186)
| ~ 'topological$uspace'(sK186)
| 'empty$ucarrier'(sK186)
| 'neighborhood$usystem'(sK186,sK187) = 'a$u2$u0$uyellow19'(sK186,sK187) ),
inference(resolution,[status(thm)],[c75,c386]) ).
cnf(d1,plain,
( ~ 'top$ustr'(sK186)
| ~ 'topological$uspace'(sK186)
| 'neighborhood$usystem'(sK186,sK187) = 'a$u2$u0$uyellow19'(sK186,sK187) ),
inference(resolution,[status(thm)],[c383,d0]) ).
cnf(d2,plain,
( ~ 'top$ustr'(sK186)
| 'neighborhood$usystem'(sK186,sK187) = 'a$u2$u0$uyellow19'(sK186,sK187) ),
inference(resolution,[status(thm)],[c384,d1]) ).
cnf(d3,plain,
'neighborhood$usystem'(sK186,sK187) = 'a$u2$u0$uyellow19'(sK186,sK187),
inference(resolution,[status(thm)],[c385,d2]) ).
cnf(d4,plain,
( ~ 'top$ustr'(sK186)
| ~ 'topological$uspace'(sK186)
| ~ element(sK187,'the$ucarrier'(sK186))
| 'empty$ucarrier'(sK186)
| X0 = sK96(X0,sK186,sK187)
| ~ in(X0,'neighborhood$usystem'(sK186,sK187)) ),
inference(superposition,[status(thm)],[d3,c190]) ).
cnf(d5,plain,
( ~ 'top$ustr'(sK186)
| ~ 'topological$uspace'(sK186)
| ~ element(sK187,'the$ucarrier'(sK186))
| ~ in(X0,'neighborhood$usystem'(sK186,sK187))
| X0 = sK96(X0,sK186,sK187) ),
inference(resolution,[status(thm)],[c383,d4]) ).
cnf(d6,plain,
( ~ 'top$ustr'(sK186)
| ~ element(sK187,'the$ucarrier'(sK186))
| ~ in(X0,'neighborhood$usystem'(sK186,sK187))
| X0 = sK96(X0,sK186,sK187) ),
inference(resolution,[status(thm)],[c384,d5]) ).
cnf(d7,plain,
( ~ element(sK187,'the$ucarrier'(sK186))
| ~ in(X0,'neighborhood$usystem'(sK186,sK187))
| X0 = sK96(X0,sK186,sK187) ),
inference(resolution,[status(thm)],[c385,d6]) ).
cnf(d8,plain,
( ~ in(X0,'neighborhood$usystem'(sK186,sK187))
| X0 = sK96(X0,sK186,sK187) ),
inference(resolution,[status(thm)],[c386,d7]) ).
cnf(d9,plain,
( 'point$uneighbourhood'(sK188,sK186,sK187)
| sK188 = sK96(sK188,sK186,sK187) ),
inference(resolution,[status(thm)],[d8,c388]) ).
cnf(d10,plain,
( ~ 'point$uneighbourhood'(X0,X1,X2)
| ~ 'top$ustr'(X1)
| ~ 'topological$uspace'(X1)
| ~ element(X2,'the$ucarrier'(X1))
| 'empty$ucarrier'(X1)
| in(X0,'a$u2$u0$uyellow19'(X1,X2)) ),
inference(equality_resolution,[status(thm)],[c191]) ).
cnf(d11,plain,
( ~ 'point$uneighbourhood'(X0,sK186,sK187)
| ~ 'top$ustr'(sK186)
| ~ 'topological$uspace'(sK186)
| ~ element(sK187,'the$ucarrier'(sK186))
| 'empty$ucarrier'(sK186)
| in(X0,'neighborhood$usystem'(sK186,sK187)) ),
inference(superposition,[status(thm)],[d3,d10]) ).
cnf(d12,plain,
( ~ 'point$uneighbourhood'(X0,sK186,sK187)
| ~ 'top$ustr'(sK186)
| ~ 'topological$uspace'(sK186)
| ~ element(sK187,'the$ucarrier'(sK186))
| in(X0,'neighborhood$usystem'(sK186,sK187)) ),
inference(resolution,[status(thm)],[c383,d11]) ).
cnf(d13,plain,
( ~ 'point$uneighbourhood'(X0,sK186,sK187)
| ~ 'top$ustr'(sK186)
| ~ element(sK187,'the$ucarrier'(sK186))
| in(X0,'neighborhood$usystem'(sK186,sK187)) ),
inference(resolution,[status(thm)],[c384,d12]) ).
cnf(d14,plain,
( ~ 'point$uneighbourhood'(X0,sK186,sK187)
| ~ element(sK187,'the$ucarrier'(sK186))
| in(X0,'neighborhood$usystem'(sK186,sK187)) ),
inference(resolution,[status(thm)],[c385,d13]) ).
cnf(d15,plain,
( ~ 'point$uneighbourhood'(X0,sK186,sK187)
| in(X0,'neighborhood$usystem'(sK186,sK187)) ),
inference(resolution,[status(thm)],[c386,d14]) ).
cnf(d16,plain,
( ~ 'point$uneighbourhood'(sK188,sK186,sK187)
| ~ 'point$uneighbourhood'(sK188,sK186,sK187) ),
inference(resolution,[status(thm)],[d15,c389]) ).
cnf(d17,plain,
sK188 = sK96(sK188,sK186,sK187),
inference(resolution,[status(thm)],[d16,d9]) ).
cnf(d18,plain,
( ~ 'top$ustr'(sK186)
| ~ 'topological$uspace'(sK186)
| ~ element(sK187,'the$ucarrier'(sK186))
| 'empty$ucarrier'(sK186)
| ~ in(sK188,'a$u2$u0$uyellow19'(sK186,sK187))
| 'point$uneighbourhood'(sK188,sK186,sK187) ),
inference(superposition,[status(thm)],[d17,c189]) ).
cnf(d19,plain,
( 'point$uneighbourhood'(sK188,sK186,sK187)
| ~ 'top$ustr'(sK186)
| ~ 'topological$uspace'(sK186)
| ~ element(sK187,'the$ucarrier'(sK186))
| 'empty$ucarrier'(sK186)
| ~ in(sK188,'neighborhood$usystem'(sK186,sK187)) ),
inference(demodulation,[status(thm)],[d18,d3]) ).
cnf(d20,plain,
( 'point$uneighbourhood'(sK188,sK186,sK187)
| ~ 'top$ustr'(sK186)
| ~ 'topological$uspace'(sK186)
| ~ element(sK187,'the$ucarrier'(sK186))
| ~ in(sK188,'neighborhood$usystem'(sK186,sK187)) ),
inference(resolution,[status(thm)],[c383,d19]) ).
cnf(d21,plain,
( 'point$uneighbourhood'(sK188,sK186,sK187)
| ~ 'top$ustr'(sK186)
| ~ element(sK187,'the$ucarrier'(sK186))
| ~ in(sK188,'neighborhood$usystem'(sK186,sK187)) ),
inference(resolution,[status(thm)],[c384,d20]) ).
cnf(d22,plain,
( 'point$uneighbourhood'(sK188,sK186,sK187)
| ~ element(sK187,'the$ucarrier'(sK186))
| ~ in(sK188,'neighborhood$usystem'(sK186,sK187)) ),
inference(resolution,[status(thm)],[c385,d21]) ).
cnf(d23,plain,
( 'point$uneighbourhood'(sK188,sK186,sK187)
| ~ in(sK188,'neighborhood$usystem'(sK186,sK187)) ),
inference(resolution,[status(thm)],[c386,d22]) ).
cnf(d24,plain,
~ in(sK188,'neighborhood$usystem'(sK186,sK187)),
inference(resolution,[status(thm)],[d16,d23]) ).
cnf(d25,plain,
in(sK188,'neighborhood$usystem'(sK186,sK187)),
inference(resolution,[status(thm)],[d16,c388]) ).
cnf(d26,plain,
$false,
inference(resolution,[status(thm)],[d25,d24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU388+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n001.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 09:29:57 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.01/5.16 % SZS status Theorem for theBenchmark.p
% 20.01/5.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------