%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO085+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 : Thu Jul 24 01:38:05 PM UTC 2025
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 34 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 16 ~; 10 |; 5 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 5 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_2_7_1,plain,
! [C] :
( open(C)
=> ? [P,Q] :
( P != Q
& end_point(P,C)
& end_point(Q,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1) ).
fof(theorem_2_7_1_negated,plain,
~ ! [C] :
( open(C)
=> ? [P,Q] :
( P != Q
& end_point(P,C)
& end_point(Q,C) ) ),
inference(negate_conjecture,[status(cth)],[theorem_2_7_1]) ).
cnf(45,plain,
open(sK15),
inference(cnf,[status(esa)],[theorem_2_7_1_negated]) ).
cnf(l0,plain,
open(sK15),
inference(instantiation,[status(thm)],[45]) ).
fof(open_defn,plain,
! [C] :
( open(C)
<=> ? [P] : end_point(P,C) ),
file('Axioms/GEO004+0.ax',open_defn) ).
cnf(31,plain,
( ~ open(X0)
| end_point(sK7(X0),X0) ),
inference(cnf,[status(esa)],[open_defn]) ).
cnf(l1,plain,
( ~ open(sK15)
| end_point(sK7(sK15),sK15) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(46,plain,
( ~ end_point(X0,sK15)
| ~ end_point(X1,sK15)
| X0 = X1 ),
inference(cnf,[status(esa)],[theorem_2_7_1_negated]) ).
cnf(l12,plain,
( ~ end_point(sK7(sK15),sK15)
| ~ end_point(sK12(sK15,sK7(sK15)),sK15)
| sK7(sK15) = sK12(sK15,sK7(sK15)) ),
inference(instantiation,[status(thm)],[46]) ).
fof(c6,plain,
! [C,P] :
( end_point(P,C)
=> ? [Q] :
( end_point(Q,C)
& P != Q ) ),
file('Axioms/GEO004+0.ax',c6) ).
cnf(40,plain,
( X0 != sK12(X1,X0)
| ~ end_point(X0,X1) ),
inference(cnf,[status(esa)],[c6]) ).
cnf(l16,plain,
( sK7(sK15) != sK12(sK15,sK7(sK15))
| ~ end_point(sK7(sK15),sK15) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(39,plain,
( ~ end_point(X0,X1)
| end_point(sK12(X1,X0),X1) ),
inference(cnf,[status(esa)],[c6]) ).
cnf(l14,plain,
( ~ end_point(sK7(sK15),sK15)
| end_point(sK12(sK15,sK7(sK15)),sK15) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l12,l16,l14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO085+1 : TPTP v9.0.0. Released v2.4.0.
% 0.10/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.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 : Sun Jul 20 10:59:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------