%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO037-3 : TPTP v9.0.0. Released v1.0.0.
% 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 01:37:57 PM UTC 2025
% Result : Unsatisfiable 245.77s 31.38s
% Output : CNFRefutation 245.77s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_lengthen)
% Comments :
%------------------------------------------------------------------------------
cnf(59,plain,
( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
inference(cnf,[status(esa)],[prove_lengthen]) ).
cnf(l0,plain,
( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
inference(instantiation,[status(thm)],[59]) ).
cnf(27,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X0,X1,X4,X5) ),
inference(cnf,[status(esa)],[d5]) ).
cnf(l2,plain,
( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(20,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
inference(cnf,[status(esa)],[d2]) ).
cnf(l41,plain,
( ~ equidistant(x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2)
| equidistant(lower_dimension_point_1,lower_dimension_point_2,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(34,plain,
( X0 != reflection(X1,X0)
| X1 = X0 ),
inference(cnf,[status(esa)],[r4]) ).
cnf(l131,plain,
( extension(u,v,lower_dimension_point_1,lower_dimension_point_2) != reflection(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(4,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf,[status(esa)],[segment_construction2]) ).
cnf(l43,plain,
equidistant(x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2),
inference(instantiation,[status(thm)],[4]) ).
cnf(28,plain,
X0 = extension(X1,X0,X2,X2),
inference(cnf,[status(esa)],[e1]) ).
cnf(l94,plain,
u = extension(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),u,X2_182,X2_182),
inference(instantiation,[status(thm)],[28]) ).
cnf(39,plain,
( ~ equidistant(X0,X1,X2,X3)
| X4 = X5
| extension(X4,X5,X0,X1) = extension(X4,X5,X2,X3) ),
inference(cnf,[status(esa)],[d10_2]) ).
cnf(l91,plain,
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)
| u = v
| extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = extension(u,v,lower_dimension_point_2,lower_dimension_point_1) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(0,plain,
equidistant(X0,X1,X1,X0),
inference(cnf,[status(esa)],[reflexivity_for_equidistance]) ).
cnf(l92,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(29,plain,
( X0 != extension(X1,X2,X3,X4)
| between(X1,X2,X0) ),
inference(cnf,[status(esa)],[b0]) ).
cnf(l112,plain,
( extension(u,v,lower_dimension_point_1,lower_dimension_point_2) != extension(u,v,lower_dimension_point_2,lower_dimension_point_1)
| between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(42,plain,
X0 = reflection(reflection(X0,X1),X1),
inference(cnf,[status(esa)],[r6]) ).
cnf(l147,plain,
extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = reflection(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),
inference(instantiation,[status(thm)],[42]) ).
cnf(l10,plain,
equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2),
inference(instantiation,[status(thm)],[4]) ).
cnf(45,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(cnf,[status(esa)],[t1]) ).
cnf(l141,plain,
( ~ between(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),u,extension(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),u,X2_182,X2_182))
| between(extension(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),u,X2_182,X2_182),u,reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2))) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(2,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf,[status(esa)],[identity_for_equidistance]) ).
cnf(l4,plain,
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| lower_dimension_point_1 = lower_dimension_point_2 ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf,[status(esa)],[segment_construction1]) ).
cnf(l182,plain,
between(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),u,extension(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),u,X2_182,X2_182)),
inference(instantiation,[status(thm)],[3]) ).
cnf(l20,plain,
extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = reflection(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v),v),
inference(instantiation,[status(thm)],[42]) ).
cnf(56,plain,
lower_dimension_point_1 != lower_dimension_point_2,
inference(cnf,[status(esa)],[e2_1]) ).
cnf(l8,plain,
lower_dimension_point_1 != lower_dimension_point_2,
inference(instantiation,[status(thm)],[56]) ).
cnf(1,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
inference(cnf,[status(esa)],[transitivity_for_equidistance]) ).
cnf(l7,plain,
( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v,reflection(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v),v))
| equidistant(lower_dimension_point_1,lower_dimension_point_2,v,reflection(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v),v)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(41,plain,
equidistant(X0,X1,X0,reflection(reflection(X1,X0),X0)),
inference(cnf,[status(esa)],[r5]) ).
cnf(l16,plain,
equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v,reflection(reflection(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v),v)),
inference(instantiation,[status(thm)],[41]) ).
cnf(l15,plain,
equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l41,l131,l43,l94,l91,l92,l112,l147,l10,l141,l4,l182,l20,l8,l7,l16,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO037-3 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 : Sun Jul 20 10:42:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 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
% 0.12/0.40 % launching worker at depth: 10
% 245.77/31.38 % SZS status Theorem for theBenchmark
% 245.77/31.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------