%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU255+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:45:00 PM UTC 2025
% Result : Theorem 3.61s 0.85s
% Output : CNFRefutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 71 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 73 ( 31 ~; 30 |; 2 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t25_wellord1,plain,
! [A,B] :
( relation(B)
=> ( antisymmetric(B)
=> antisymmetric(relation_restriction(B,A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_wellord1) ).
fof(t25_wellord1_negated,plain,
~ ! [A,B] :
( relation(B)
=> ( antisymmetric(B)
=> antisymmetric(relation_restriction(B,A)) ) ),
inference(negate_conjecture,[status(cth)],[t25_wellord1]) ).
cnf(30,plain,
relation(sK10),
inference(cnf,[status(esa)],[t25_wellord1_negated]) ).
cnf(l0,plain,
relation(sK10),
inference(instantiation,[status(thm)],[30]) ).
fof(l3_wellord1,plain,
! [A] :
( relation(A)
=> ( antisymmetric(A)
<=> ! [B,C] :
( ( in(ordered_pair(B,C),A)
& in(ordered_pair(C,B),A) )
=> B = C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_wellord1) ).
cnf(12,plain,
( ~ in(ordered_pair(X0,X1),X2)
| ~ in(ordered_pair(X1,X0),X2)
| ~ relation(X2)
| ~ antisymmetric(X2)
| X0 = X1 ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
cnf(l1,plain,
( ~ in(ordered_pair(sK3(relation_restriction(sK10,sK9)),sK2(relation_restriction(sK10,sK9))),sK10)
| ~ in(ordered_pair(sK2(relation_restriction(sK10,sK9)),sK3(relation_restriction(sK10,sK9))),sK10)
| ~ relation(sK10)
| ~ antisymmetric(sK10)
| sK3(relation_restriction(sK10,sK9)) = sK2(relation_restriction(sK10,sK9)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(31,plain,
antisymmetric(sK10),
inference(cnf,[status(esa)],[t25_wellord1_negated]) ).
cnf(l40,plain,
antisymmetric(sK10),
inference(instantiation,[status(thm)],[31]) ).
fof(t16_wellord1,plain,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_restriction(C,B))
<=> ( in(A,C)
& in(A,cartesian_product2(B,B)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
cnf(26,plain,
( ~ in(X0,relation_restriction(X1,X2))
| ~ relation(X1)
| in(X0,X1) ),
inference(cnf,[status(esa)],[t16_wellord1]) ).
cnf(l2,plain,
( ~ in(ordered_pair(sK3(relation_restriction(sK10,sK9)),sK2(relation_restriction(sK10,sK9))),relation_restriction(sK10,sK9))
| ~ relation(sK10)
| in(ordered_pair(sK3(relation_restriction(sK10,sK9)),sK2(relation_restriction(sK10,sK9))),sK10) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(14,plain,
( ~ relation(X0)
| in(ordered_pair(sK3(X0),sK2(X0)),X0)
| antisymmetric(X0) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
cnf(l11,plain,
( ~ relation(relation_restriction(sK10,sK9))
| in(ordered_pair(sK3(relation_restriction(sK10,sK9)),sK2(relation_restriction(sK10,sK9))),relation_restriction(sK10,sK9))
| antisymmetric(relation_restriction(sK10,sK9)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(32,plain,
~ antisymmetric(relation_restriction(sK10,sK9)),
inference(cnf,[status(esa)],[t25_wellord1_negated]) ).
cnf(l37,plain,
~ antisymmetric(relation_restriction(sK10,sK9)),
inference(instantiation,[status(thm)],[32]) ).
cnf(l42,plain,
( ~ in(ordered_pair(sK2(relation_restriction(sK10,sK9)),sK3(relation_restriction(sK10,sK9))),relation_restriction(sK10,sK9))
| ~ relation(sK10)
| in(ordered_pair(sK2(relation_restriction(sK10,sK9)),sK3(relation_restriction(sK10,sK9))),sK10) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(15,plain,
( sK2(X0) != sK3(X0)
| ~ relation(X0)
| antisymmetric(X0) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
cnf(l93,plain,
( sK2(relation_restriction(sK10,sK9)) != sK3(relation_restriction(sK10,sK9))
| ~ relation(relation_restriction(sK10,sK9))
| antisymmetric(relation_restriction(sK10,sK9)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(13,plain,
( ~ relation(X0)
| in(ordered_pair(sK2(X0),sK3(X0)),X0)
| antisymmetric(X0) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
cnf(l48,plain,
( ~ relation(relation_restriction(sK10,sK9))
| in(ordered_pair(sK2(relation_restriction(sK10,sK9)),sK3(relation_restriction(sK10,sK9))),relation_restriction(sK10,sK9))
| antisymmetric(relation_restriction(sK10,sK9)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l64,plain,
~ antisymmetric(relation_restriction(sK10,sK9)),
inference(instantiation,[status(thm)],[32]) ).
fof(dt_k2_wellord1,plain,
! [A,B] :
( relation(A)
=> relation(relation_restriction(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).
cnf(7,plain,
( ~ relation(X0)
| relation(relation_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[dt_k2_wellord1]) ).
cnf(l101,plain,
( ~ relation(sK10)
| relation(relation_restriction(sK10,sK9)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l55,plain,
( ~ relation(sK10)
| relation(relation_restriction(sK10,sK9)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l35,plain,
( ~ relation(sK10)
| relation(relation_restriction(sK10,sK9)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l100,plain,
~ antisymmetric(relation_restriction(sK10,sK9)),
inference(instantiation,[status(thm)],[32]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l40,l2,l11,l37,l42,l93,l48,l64,l101,l55,l35,l100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU255+1 : TPTP v9.0.0. Released v3.3.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 00:19:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.39 % launching worker at depth: 11
% 3.61/0.85 % SZS status Theorem for theBenchmark
% 3.61/0.85 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------