%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU194+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 : n025.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 03:44:48 PM UTC 2025
% Result : Theorem 9.03s 1.47s
% Output : CNFRefutation 9.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 74 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 35 ~; 36 |; 2 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 35 ( 1 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t90_relat_1,plain,
! [A,B] :
( relation(B)
=> relation_dom(relation_dom_restriction(B,A)) = set_intersection2(relation_dom(B),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t90_relat_1) ).
fof(t90_relat_1_negated,plain,
~ ! [A,B] :
( relation(B)
=> relation_dom(relation_dom_restriction(B,A)) = set_intersection2(relation_dom(B),A) ),
inference(negate_conjecture,[status(cth)],[t90_relat_1]) ).
cnf(38,plain,
relation(sK9),
inference(cnf,[status(esa)],[t90_relat_1_negated]) ).
cnf(l0,plain,
relation(sK9),
inference(instantiation,[status(thm)],[38]) ).
fof(t86_relat_1,plain,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_dom(relation_dom_restriction(C,B)))
<=> ( in(A,B)
& in(A,relation_dom(C)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_relat_1) ).
cnf(36,plain,
( ~ in(X0,X1)
| ~ in(X0,relation_dom(X2))
| ~ relation(X2)
| in(X0,relation_dom(relation_dom_restriction(X2,X1))) ),
inference(cnf,[status(esa)],[t86_relat_1]) ).
cnf(l1,plain,
( ~ in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),sK8)
| ~ in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(sK9))
| ~ relation(sK9)
| in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(relation_dom_restriction(sK9,sK8))) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(34,plain,
( ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,X2) ),
inference(cnf,[status(esa)],[t86_relat_1]) ).
cnf(l59,plain,
( ~ in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(relation_dom_restriction(sK9,sK8)))
| ~ relation(sK9)
| in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),sK8) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(35,plain,
( ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,relation_dom(X1)) ),
inference(cnf,[status(esa)],[t86_relat_1]) ).
cnf(l37,plain,
( ~ in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(relation_dom_restriction(sK9,sK8)))
| ~ relation(sK9)
| in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(sK9)) ),
inference(instantiation,[status(thm)],[35]) ).
cnf(l2,plain,
( ~ in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(relation_dom_restriction(sK9,sK8)))
| ~ relation(sK9)
| in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),sK8) ),
inference(instantiation,[status(thm)],[34]) ).
fof(d3_xboole_0,plain,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(6,plain,
( X0 = set_intersection2(X1,X2)
| in(sK1(X1,X2,X0),X0)
| sP0(X2,X1,X0) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l43,plain,
( relation_dom(relation_dom_restriction(sK9,sK8)) = set_intersection2(relation_dom(sK9),sK8)
| in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(relation_dom_restriction(sK9,sK8)))
| sP0(sK8,relation_dom(sK9),relation_dom(relation_dom_restriction(sK9,sK8))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(10,plain,
( in(sK1(X0,X1,X2),X0)
| ~ sP0(X1,X0,X2) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l49,plain,
( in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(sK9))
| ~ sP0(sK8,relation_dom(sK9),relation_dom(relation_dom_restriction(sK9,sK8))) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l6,plain,
( relation_dom(relation_dom_restriction(sK9,sK8)) = set_intersection2(relation_dom(sK9),sK8)
| in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(relation_dom_restriction(sK9,sK8)))
| sP0(sK8,relation_dom(sK9),relation_dom(relation_dom_restriction(sK9,sK8))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(9,plain,
( in(sK1(X0,X1,X2),X1)
| ~ sP0(X1,X0,X2) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l16,plain,
( in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),sK8)
| ~ sP0(sK8,relation_dom(sK9),relation_dom(relation_dom_restriction(sK9,sK8))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(39,plain,
relation_dom(relation_dom_restriction(sK9,sK8)) != set_intersection2(relation_dom(sK9),sK8),
inference(cnf,[status(esa)],[t90_relat_1_negated]) ).
cnf(l45,plain,
relation_dom(relation_dom_restriction(sK9,sK8)) != set_intersection2(relation_dom(sK9),sK8),
inference(instantiation,[status(thm)],[39]) ).
cnf(l22,plain,
relation_dom(relation_dom_restriction(sK9,sK8)) != set_intersection2(relation_dom(sK9),sK8),
inference(instantiation,[status(thm)],[39]) ).
cnf(7,plain,
( ~ in(sK1(X0,X1,X2),X0)
| ~ in(sK1(X0,X1,X2),X1)
| X2 = set_intersection2(X0,X1)
| sP0(X1,X0,X2) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l67,plain,
( ~ in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(sK9))
| ~ in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),sK8)
| relation_dom(relation_dom_restriction(sK9,sK8)) = set_intersection2(relation_dom(sK9),sK8)
| sP0(sK8,relation_dom(sK9),relation_dom(relation_dom_restriction(sK9,sK8))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
( ~ in(sK1(X0,X1,X2),X2)
| ~ sP0(X1,X0,X2) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l72,plain,
( ~ in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(relation_dom_restriction(sK9,sK8)))
| ~ sP0(sK8,relation_dom(sK9),relation_dom(relation_dom_restriction(sK9,sK8))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l75,plain,
( ~ in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(relation_dom_restriction(sK9,sK8)))
| ~ relation(sK9)
| in(sK1(relation_dom(sK9),sK8,relation_dom(relation_dom_restriction(sK9,sK8))),relation_dom(sK9)) ),
inference(instantiation,[status(thm)],[35]) ).
cnf(l78,plain,
relation_dom(relation_dom_restriction(sK9,sK8)) != set_intersection2(relation_dom(sK9),sK8),
inference(instantiation,[status(thm)],[39]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l59,l37,l2,l43,l49,l6,l16,l45,l22,l67,l72,l75,l78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU194+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 23:51:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.20/0.45 % launching worker at depth: 11
% 9.03/1.47 % SZS status Theorem for theBenchmark
% 9.03/1.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------