%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU368+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 : n026.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 08:41:47 AM UTC 2026
% Result : Theorem 15.26s 2.35s
% Output : CNFRefutation 15.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 64 ( 38 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 56 ( 24 ~; 19 |; 8 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 50 ( 8 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(free_g1_orders_2,axiom,
! [X0,X1] :
( 'relation$uof2'(X1,X0,X0)
=> ! [X2,X3] :
( 'rel$ustr$uof'(X0,X1) = 'rel$ustr$uof'(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ) ).
fof(abstractness_v1_orders_2,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> ( 'strict$urel$ustr'(X0)
=> X0 = 'rel$ustr$uof'('the$ucarrier'(X0),'the$uInternalRel'(X0)) ) ) ).
fof(redefinition_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'relation$uof2$uas$usubset'(X2,X0,X1)
<=> 'relation$uof2'(X2,X0,X1) ) ).
fof(dt_k1_yellow_1,axiom,
! [X0] :
( 'relation$uof2$uas$usubset'('inclusion$uorder'(X0),X0,X0)
& 'v1$upartfun1'('inclusion$uorder'(X0),X0,X0)
& transitive('inclusion$uorder'(X0))
& antisymmetric('inclusion$uorder'(X0))
& reflexive('inclusion$uorder'(X0)) ) ).
fof(dt_k2_yellow_1,axiom,
! [X0] :
( 'rel$ustr'('incl$uPOSet'(X0))
& 'strict$urel$ustr'('incl$uPOSet'(X0)) ) ).
fof(d1_yellow_1,axiom,
! [X0] : 'incl$uPOSet'(X0) = 'rel$ustr$uof'(X0,'inclusion$uorder'(X0)) ).
fof(t1_yellow_1,conjecture,
! [X0] :
( 'the$uInternalRel'('incl$uPOSet'(X0)) = 'inclusion$uorder'(X0)
& 'the$ucarrier'('incl$uPOSet'(X0)) = X0 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'the$uInternalRel'('incl$uPOSet'(X0)) = 'inclusion$uorder'(X0)
& 'the$ucarrier'('incl$uPOSet'(X0)) = X0 ),
inference(negate_conjecture,[status(cth)],[t1_yellow_1]) ).
cnf(c46,plain,
( X1 = X2
| 'rel$ustr$uof'(X1,X0) != 'rel$ustr$uof'(X2,X3)
| ~ 'relation$uof2'(X0,X1,X1) ),
inference(clausification,[status(esa)],[free_g1_orders_2]) ).
cnf(c47,plain,
( X0 = X3
| 'rel$ustr$uof'(X1,X0) != 'rel$ustr$uof'(X2,X3)
| ~ 'relation$uof2'(X0,X1,X1) ),
inference(clausification,[status(esa)],[free_g1_orders_2]) ).
cnf(c48,plain,
( X0 = 'rel$ustr$uof'('the$ucarrier'(X0),'the$uInternalRel'(X0))
| ~ 'strict$urel$ustr'(X0)
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[abstractness_v1_orders_2]) ).
cnf(c52,plain,
( 'relation$uof2'(X0,X1,X2)
| ~ 'relation$uof2$uas$usubset'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(c72,plain,
'relation$uof2$uas$usubset'('inclusion$uorder'(X0),X0,X0),
inference(clausification,[status(esa)],[dt_k1_yellow_1]) ).
cnf(c73,plain,
'strict$urel$ustr'('incl$uPOSet'(X0)),
inference(clausification,[status(esa)],[dt_k2_yellow_1]) ).
cnf(c74,plain,
'rel$ustr'('incl$uPOSet'(X0)),
inference(clausification,[status(esa)],[dt_k2_yellow_1]) ).
cnf(c80,plain,
'incl$uPOSet'(X0) = 'rel$ustr$uof'(X0,'inclusion$uorder'(X0)),
inference(clausification,[status(esa)],[d1_yellow_1]) ).
cnf(c81,plain,
( 'the$uInternalRel'('incl$uPOSet'(sK78)) != 'inclusion$uorder'(sK78)
| 'the$ucarrier'('incl$uPOSet'(sK78)) != sK78 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'relation$uof2'('inclusion$uorder'(X0),X0,X0)
| 'inclusion$uorder'(X0) = X2
| 'incl$uPOSet'(X0) != 'rel$ustr$uof'(X1,X2) ),
inference(superposition,[status(thm)],[c80,c47]) ).
cnf(d1,plain,
'relation$uof2'('inclusion$uorder'(X0),X0,X0),
inference(resolution,[status(thm)],[c72,c52]) ).
cnf(d2,plain,
( 'inclusion$uorder'(X0) = X2
| 'incl$uPOSet'(X0) != 'rel$ustr$uof'(X1,X2) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ 'rel$ustr'('incl$uPOSet'(X0))
| 'incl$uPOSet'(X0) = 'rel$ustr$uof'('the$ucarrier'('incl$uPOSet'(X0)),'the$uInternalRel'('incl$uPOSet'(X0))) ),
inference(resolution,[status(thm)],[c48,c73]) ).
cnf(d4,plain,
'incl$uPOSet'(X0) = 'rel$ustr$uof'('the$ucarrier'('incl$uPOSet'(X0)),'the$uInternalRel'('incl$uPOSet'(X0))),
inference(resolution,[status(thm)],[c74,d3]) ).
cnf(d5,plain,
( 'inclusion$uorder'(X1) = 'the$uInternalRel'('incl$uPOSet'(X0))
| 'incl$uPOSet'(X1) != 'incl$uPOSet'(X0) ),
inference(superposition,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
'inclusion$uorder'(X0) = 'the$uInternalRel'('incl$uPOSet'(X0)),
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
( ~ 'relation$uof2'('inclusion$uorder'(X0),X0,X0)
| X0 = X1
| 'incl$uPOSet'(X0) != 'rel$ustr$uof'(X1,X2) ),
inference(superposition,[status(thm)],[c80,c46]) ).
cnf(d8,plain,
( 'incl$uPOSet'(X0) != 'rel$ustr$uof'(X1,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[d1,d7]) ).
cnf(d9,plain,
( X1 = 'the$ucarrier'('incl$uPOSet'(X0))
| 'incl$uPOSet'(X1) != 'incl$uPOSet'(X0) ),
inference(superposition,[status(thm)],[d4,d8]) ).
cnf(d10,plain,
X0 = 'the$ucarrier'('incl$uPOSet'(X0)),
inference(equality_resolution,[status(thm)],[d9]) ).
cnf(d11,plain,
( 'the$uInternalRel'('incl$uPOSet'(sK78)) != 'inclusion$uorder'(sK78)
| sK78 != sK78 ),
inference(demodulation,[status(thm)],[c81,d10]) ).
cnf(d12,plain,
( sK78 != sK78
| 'inclusion$uorder'(sK78) != 'inclusion$uorder'(sK78) ),
inference(demodulation,[status(thm)],[d11,d6]) ).
cnf(d13,plain,
sK78 != sK78,
inference(equality_resolution,[status(thm)],[d12]) ).
cnf(d14,plain,
$false,
inference(equality_resolution,[status(thm)],[d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU368+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 09:23:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.26/2.35 % SZS status Theorem for theBenchmark.p
% 15.26/2.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------