%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU186+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 08:41:12 AM UTC 2026
% Result : Theorem 15.05s 2.30s
% Output : CNFRefutation 15.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 41 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 13 ~; 11 |; 1 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 2 sgn 14 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_relat_1,axiom,
! [X0] :
( relation(X0)
<=> ! [X1] :
~ ( ! [X2,X3] : X1 != 'ordered$upair'(X2,X3)
& in(X1,X0) ) ) ).
fof(existence_m1_subset_1,axiom,
! [X0] :
? [X1] : element(X1,X0) ).
fof(t2_subset,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ) ).
fof(t6_boole,axiom,
! [X0] :
( empty(X0)
=> X0 = 'empty$uset' ) ).
fof(t56_relat_1,conjecture,
! [X0] :
( relation(X0)
=> ( ! [X1,X2] : ~ in('ordered$upair'(X1,X2),X0)
=> X0 = 'empty$uset' ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ! [X1,X2] : ~ in('ordered$upair'(X1,X2),X0)
=> X0 = 'empty$uset' ) ),
inference(negate_conjecture,[status(cth)],[t56_relat_1]) ).
cnf(c3,plain,
( X1 = 'ordered$upair'(sK7(X1),sK8(X1))
| ~ in(X1,X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d1_relat_1]) ).
cnf(c7,plain,
element(sK15(X0),X0),
inference(clausification,[status(esa)],[existence_m1_subset_1]) ).
cnf(c21,plain,
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(clausification,[status(esa)],[t2_subset]) ).
cnf(c22,plain,
( X0 = 'empty$uset'
| ~ empty(X0) ),
inference(clausification,[status(esa)],[t6_boole]) ).
cnf(c25,plain,
relation(sK34),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c26,plain,
~ in('ordered$upair'(X0,X1),sK34),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c27,plain,
sK34 != 'empty$uset',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( empty(X0)
| in(sK15(X0),X0) ),
inference(resolution,[status(thm)],[c21,c7]) ).
cnf(d1,plain,
( ~ relation(X0)
| sK15(X0) = 'ordered$upair'(sK7(sK15(X0)),sK8(sK15(X0)))
| empty(X0) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( empty(sK34)
| sK15(sK34) = 'ordered$upair'(sK7(sK15(sK34)),sK8(sK15(sK34))) ),
inference(resolution,[status(thm)],[d1,c25]) ).
cnf(d3,plain,
( sK34 = 'empty$uset'
| sK15(sK34) = 'ordered$upair'(sK7(sK15(sK34)),sK8(sK15(sK34))) ),
inference(resolution,[status(thm)],[d2,c22]) ).
cnf(d4,plain,
sK15(sK34) = 'ordered$upair'(sK7(sK15(sK34)),sK8(sK15(sK34))),
inference(resolution,[status(thm)],[c27,d3]) ).
cnf(d5,plain,
~ in(sK15(sK34),sK34),
inference(superposition,[status(thm)],[d4,c26]) ).
cnf(d6,plain,
empty(sK34),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
sK34 = 'empty$uset',
inference(resolution,[status(thm)],[d6,c22]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c27,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU186+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n004.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 08:46:51 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.05/2.30 % SZS status Theorem for theBenchmark.p
% 15.05/2.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------