%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU179+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 : n009.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 15.92s 8.94s
% Output : CNFRefutation 15.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 5 unt; 0 def)
% Number of atoms : 93 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 40 ~; 42 |; 2 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 4 sgn 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
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(t25_relat_1,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset('relation$urng'(X0),'relation$urng'(X1))
& subset('relation$udom'(X0),'relation$udom'(X1)) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset('relation$urng'(X0),'relation$urng'(X1))
& subset('relation$udom'(X0),'relation$udom'(X1)) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t25_relat_1]) ).
cnf(c2,plain,
( in(X2,X1)
| ~ in(X2,X0)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c3,plain,
( in(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c4,plain,
( ~ in(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c5,plain,
( in('ordered$upair'(X2,sK11(X0,X2)),X0)
| ~ in(X2,X1)
| X1 != 'relation$udom'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d4_relat_1]) ).
cnf(c6,plain,
( ~ in('ordered$upair'(X2,X3),X0)
| in(X2,X1)
| X1 != 'relation$udom'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d4_relat_1]) ).
cnf(c11,plain,
( in('ordered$upair'(sK19(X0,X2),X2),X0)
| ~ in(X2,X1)
| X1 != 'relation$urng'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d5_relat_1]) ).
cnf(c12,plain,
( ~ in('ordered$upair'(X3,X2),X0)
| in(X2,X1)
| X1 != 'relation$urng'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d5_relat_1]) ).
cnf(c42,plain,
relation(sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c43,plain,
relation(sK61),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c44,plain,
subset(sK60,sK61),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c45,plain,
( ~ subset('relation$urng'(sK60),'relation$urng'(sK61))
| ~ subset('relation$udom'(sK60),'relation$udom'(sK61)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ relation(X1)
| ~ in('ordered$upair'(X2,X0),X1)
| in(X0,'relation$urng'(X1)) ),
inference(equality_resolution,[status(thm)],[c12]) ).
cnf(d1,plain,
( ~ in(X0,sK60)
| in(X0,sK61) ),
inference(resolution,[status(thm)],[c2,c44]) ).
cnf(d2,plain,
( ~ relation(X1)
| in('ordered$upair'(sK19(X1,X0),X0),X1)
| ~ in(X0,'relation$urng'(X1)) ),
inference(equality_resolution,[status(thm)],[c11]) ).
cnf(d3,plain,
( in('ordered$upair'(sK19(sK60,X0),X0),sK61)
| ~ relation(sK60)
| ~ in(X0,'relation$urng'(sK60)) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( in('ordered$upair'(sK19(sK60,X0),X0),sK61)
| ~ in(X0,'relation$urng'(sK60)) ),
inference(resolution,[status(thm)],[c42,d3]) ).
cnf(d5,plain,
( ~ relation(sK61)
| in(X0,'relation$urng'(sK61))
| ~ in(X0,'relation$urng'(sK60)) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( in(X0,'relation$urng'(sK61))
| ~ in(X0,'relation$urng'(sK60)) ),
inference(resolution,[status(thm)],[c43,d5]) ).
cnf(d7,plain,
( subset('relation$urng'(sK60),X0)
| in(sK7('relation$urng'(sK60),X0),'relation$urng'(sK61)) ),
inference(resolution,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
( subset('relation$urng'(sK60),'relation$urng'(sK61))
| subset('relation$urng'(sK60),'relation$urng'(sK61)) ),
inference(resolution,[status(thm)],[d7,c4]) ).
cnf(d9,plain,
( ~ relation(X1)
| ~ in('ordered$upair'(X0,X2),X1)
| in(X0,'relation$udom'(X1)) ),
inference(equality_resolution,[status(thm)],[c6]) ).
cnf(d10,plain,
( ~ relation(X1)
| in('ordered$upair'(X0,sK11(X1,X0)),X1)
| ~ in(X0,'relation$udom'(X1)) ),
inference(equality_resolution,[status(thm)],[c5]) ).
cnf(d11,plain,
( in('ordered$upair'(X0,sK11(sK60,X0)),sK61)
| ~ relation(sK60)
| ~ in(X0,'relation$udom'(sK60)) ),
inference(resolution,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
( in('ordered$upair'(X0,sK11(sK60,X0)),sK61)
| ~ in(X0,'relation$udom'(sK60)) ),
inference(resolution,[status(thm)],[c42,d11]) ).
cnf(d13,plain,
( ~ relation(sK61)
| in(X0,'relation$udom'(sK61))
| ~ in(X0,'relation$udom'(sK60)) ),
inference(resolution,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
( in(X0,'relation$udom'(sK61))
| ~ in(X0,'relation$udom'(sK60)) ),
inference(resolution,[status(thm)],[c43,d13]) ).
cnf(d15,plain,
( subset('relation$udom'(sK60),X0)
| in(sK7('relation$udom'(sK60),X0),'relation$udom'(sK61)) ),
inference(resolution,[status(thm)],[d14,c3]) ).
cnf(d16,plain,
( subset('relation$udom'(sK60),'relation$udom'(sK61))
| subset('relation$udom'(sK60),'relation$udom'(sK61)) ),
inference(resolution,[status(thm)],[d15,c4]) ).
cnf(d17,plain,
~ subset('relation$urng'(sK60),'relation$urng'(sK61)),
inference(resolution,[status(thm)],[d16,c45]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d17,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU179+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n009.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sat Sep 26 08:45:35 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.92/8.94 % SZS status Theorem for theBenchmark.p
% 15.92/8.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------