%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU241+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.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 03:44:57 PM UTC 2025
% Result : Theorem 5.41s 1.02s
% Output : CNFRefutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 3 unt; 0 def)
% Number of atoms : 106 ( 11 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 124 ( 51 ~; 54 |; 6 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p',l3_wellord1) ).
fof(l3_wellord1_negated,plain,
~ ! [A] :
( relation(A)
=> ( antisymmetric(A)
<=> ! [B,C] :
( ( in(ordered_pair(B,C),A)
& in(ordered_pair(C,B),A) )
=> B = C ) ) ),
inference(negate_conjecture,[status(cth)],[l3_wellord1]) ).
cnf(21,plain,
relation(sK4),
inference(cnf,[status(esa)],[l3_wellord1_negated]) ).
cnf(l0,plain,
relation(sK4),
inference(instantiation,[status(thm)],[21]) ).
fof(d12_relat_2,plain,
! [A] :
( relation(A)
=> ( antisymmetric(A)
<=> is_antisymmetric_in(A,relation_field(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_2) ).
cnf(6,plain,
( ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0)
| antisymmetric(X0) ),
inference(cnf,[status(esa)],[d12_relat_2]) ).
cnf(l1,plain,
( ~ is_antisymmetric_in(sK4,relation_field(sK4))
| ~ relation(sK4)
| antisymmetric(sK4) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(23,plain,
( ~ antisymmetric(sK4)
| in(ordered_pair(sK5,sK6),sK4) ),
inference(cnf,[status(esa)],[l3_wellord1_negated]) ).
cnf(l2,plain,
( ~ antisymmetric(sK4)
| in(ordered_pair(sK5,sK6),sK4) ),
inference(instantiation,[status(thm)],[23]) ).
fof(d4_relat_2,plain,
! [A] :
( relation(A)
=> ! [B] :
( is_antisymmetric_in(A,B)
<=> ! [C,D] :
( ( in(C,B)
& in(D,B)
& in(ordered_pair(C,D),A)
& in(ordered_pair(D,C),A) )
=> C = D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_2) ).
cnf(11,plain,
( ~ relation(X0)
| in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
| is_antisymmetric_in(X0,X1) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
cnf(l102,plain,
( ~ relation(sK4)
| in(ordered_pair(sK2(sK4,relation_field(sK4)),sK1(sK4,relation_field(sK4))),sK4)
| is_antisymmetric_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(7,plain,
( ~ in(X0,X1)
| ~ in(X2,X1)
| ~ in(ordered_pair(X0,X2),X3)
| ~ in(ordered_pair(X2,X0),X3)
| ~ is_antisymmetric_in(X3,X1)
| ~ relation(X3)
| X0 = X2 ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
cnf(l20,plain,
( ~ in(sK5,relation_field(sK4))
| ~ in(sK6,relation_field(sK4))
| ~ in(ordered_pair(sK5,sK6),sK4)
| ~ in(ordered_pair(sK6,sK5),sK4)
| ~ is_antisymmetric_in(sK4,relation_field(sK4))
| ~ relation(sK4)
| sK5 = sK6 ),
inference(instantiation,[status(thm)],[7]) ).
fof(t30_relat_1,plain,
! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(A,relation_field(C))
& in(B,relation_field(C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).
cnf(39,plain,
( ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| in(X0,relation_field(X2)) ),
inference(cnf,[status(esa)],[t30_relat_1]) ).
cnf(l22,plain,
( ~ in(ordered_pair(sK5,sK6),sK4)
| ~ relation(sK4)
| in(sK5,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(40,plain,
( ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| in(X1,relation_field(X2)) ),
inference(cnf,[status(esa)],[t30_relat_1]) ).
cnf(l24,plain,
( ~ in(ordered_pair(sK5,sK6),sK4)
| ~ relation(sK4)
| in(sK6,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(24,plain,
( ~ antisymmetric(sK4)
| in(ordered_pair(sK6,sK5),sK4) ),
inference(cnf,[status(esa)],[l3_wellord1_negated]) ).
cnf(l21,plain,
( ~ antisymmetric(sK4)
| in(ordered_pair(sK6,sK5),sK4) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(25,plain,
( sK5 != sK6
| ~ antisymmetric(sK4) ),
inference(cnf,[status(esa)],[l3_wellord1_negated]) ).
cnf(l171,plain,
( sK5 != sK6
| ~ antisymmetric(sK4) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(5,plain,
( ~ antisymmetric(X0)
| ~ relation(X0)
| is_antisymmetric_in(X0,relation_field(X0)) ),
inference(cnf,[status(esa)],[d12_relat_2]) ).
cnf(l55,plain,
( ~ antisymmetric(sK4)
| ~ relation(sK4)
| is_antisymmetric_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(22,plain,
( ~ in(ordered_pair(X0,X1),sK4)
| ~ in(ordered_pair(X1,X0),sK4)
| X0 = X1
| antisymmetric(sK4) ),
inference(cnf,[status(esa)],[l3_wellord1_negated]) ).
cnf(l107,plain,
( ~ in(ordered_pair(sK1(sK4,relation_field(sK4)),sK2(sK4,relation_field(sK4))),sK4)
| ~ in(ordered_pair(sK2(sK4,relation_field(sK4)),sK1(sK4,relation_field(sK4))),sK4)
| sK1(sK4,relation_field(sK4)) = sK2(sK4,relation_field(sK4))
| antisymmetric(sK4) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(10,plain,
( ~ relation(X0)
| in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| is_antisymmetric_in(X0,X1) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
cnf(l109,plain,
( ~ relation(sK4)
| in(ordered_pair(sK1(sK4,relation_field(sK4)),sK2(sK4,relation_field(sK4))),sK4)
| is_antisymmetric_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l157,plain,
( ~ antisymmetric(sK4)
| ~ relation(sK4)
| is_antisymmetric_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(12,plain,
( sK1(X0,X1) != sK2(X0,X1)
| ~ relation(X0)
| is_antisymmetric_in(X0,X1) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
cnf(l164,plain,
( sK1(sK4,relation_field(sK4)) != sK2(sK4,relation_field(sK4))
| ~ relation(sK4)
| is_antisymmetric_in(sK4,relation_field(sK4)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l102,l20,l22,l24,l21,l171,l55,l107,l109,l157,l164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU241+1 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 00:14:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.18/0.44 % launching worker at depth: 11
% 5.41/1.02 % SZS status Theorem for theBenchmark
% 5.41/1.02 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------