%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU177+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 : n002.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 08:41:10 AM UTC 2026
% Result : Theorem 20.03s 8.05s
% Output : CNFRefutation 20.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 42 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 16 ~; 13 |; 2 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 4 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_relat_1,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = 'relation$udom'(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in('ordered$upair'(X2,X3),X0) ) ) ) ).
fof(d5_relat_1,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = 'relation$urng'(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in('ordered$upair'(X3,X2),X0) ) ) ) ).
fof(t20_relat_1,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in('ordered$upair'(X0,X1),X2)
=> ( in(X1,'relation$urng'(X2))
& in(X0,'relation$udom'(X2)) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in('ordered$upair'(X0,X1),X2)
=> ( in(X1,'relation$urng'(X2))
& in(X0,'relation$udom'(X2)) ) ) ),
inference(negate_conjecture,[status(cth)],[t20_relat_1]) ).
cnf(c18,plain,
( ~ in('ordered$upair'(X2,X3),X0)
| in(X2,X1)
| X1 != 'relation$udom'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d4_relat_1]) ).
cnf(c24,plain,
( ~ in('ordered$upair'(X3,X2),X0)
| in(X2,X1)
| X1 != 'relation$urng'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d5_relat_1]) ).
cnf(c29,plain,
relation(sK43),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c30,plain,
in('ordered$upair'(sK41,sK42),sK43),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c31,plain,
( ~ in(sK42,'relation$urng'(sK43))
| ~ in(sK41,'relation$udom'(sK43)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ in('ordered$upair'(X2,X1),X0)
| in(X1,'relation$urng'(X0))
| ~ relation(X0) ),
inference(equality_resolution,[status(thm)],[c24]) ).
cnf(d1,plain,
( in(sK42,'relation$urng'(sK43))
| ~ relation(sK43) ),
inference(resolution,[status(thm)],[d0,c30]) ).
cnf(d2,plain,
in(sK42,'relation$urng'(sK43)),
inference(resolution,[status(thm)],[c29,d1]) ).
cnf(d3,plain,
( ~ in('ordered$upair'(X1,X2),X0)
| in(X1,'relation$udom'(X0))
| ~ relation(X0) ),
inference(equality_resolution,[status(thm)],[c18]) ).
cnf(d4,plain,
( in(sK41,'relation$udom'(sK43))
| ~ relation(sK43) ),
inference(resolution,[status(thm)],[d3,c30]) ).
cnf(d5,plain,
in(sK41,'relation$udom'(sK43)),
inference(resolution,[status(thm)],[c29,d4]) ).
cnf(d6,plain,
~ in(sK42,'relation$urng'(sK43)),
inference(resolution,[status(thm)],[d5,c31]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU177+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/5.45 % Computer : n002.cluster.edu
% 0.19/5.45 % Model : x86_64 x86_64
% 0.19/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.45 % Memory : 8046.5625MB
% 0.19/5.45 % OS : Linux 6.8.0-71-generic
% 0.19/5.45 % CPULimit : 300
% 0.19/5.45 % WCLimit : 300
% 0.19/5.45 % DateTime : Sat Sep 26 08:47:58 UTC 2026
% 0.19/5.46 % CPUTime :
% 0.19/5.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.03/8.05 % SZS status Theorem for theBenchmark.p
% 20.03/8.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------