%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO027-3 : 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 : 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 : Thu Jul 24 01:37:56 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_w_is_an_extension)
% Comments :
%------------------------------------------------------------------------------
cnf(40,plain,
w != extension(u,v,v,w),
inference(cnf,[status(esa)],[prove_w_is_an_extension]) ).
cnf(l0,plain,
w != extension(u,v,v,w),
inference(instantiation,[status(thm)],[40]) ).
cnf(37,plain,
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X3,X0,X1)
| ~ between(X3,X0,X2)
| X3 = X0
| X1 = X2 ),
inference(cnf,[status(esa)],[d9]) ).
cnf(l1,plain,
( ~ equidistant(v,w,v,extension(u,v,v,w))
| ~ between(u,v,w)
| ~ between(u,v,extension(u,v,v,w))
| u = v
| w = extension(u,v,v,w) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(3,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf,[status(esa)],[segment_construction1]) ).
cnf(l22,plain,
between(u,v,extension(u,v,v,w)),
inference(instantiation,[status(thm)],[3]) ).
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(l2,plain,
( ~ equidistant(v,extension(u,v,v,w),v,w)
| ~ equidistant(v,extension(u,v,v,w),v,extension(u,v,v,w))
| equidistant(v,w,v,extension(u,v,v,w)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(19,plain,
equidistant(X0,X1,X0,X1),
inference(cnf,[status(esa)],[d1]) ).
cnf(l4,plain,
equidistant(v,extension(u,v,v,w),v,extension(u,v,v,w)),
inference(instantiation,[status(thm)],[19]) ).
cnf(4,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf,[status(esa)],[segment_construction2]) ).
cnf(l7,plain,
equidistant(v,extension(u,v,v,w),v,w),
inference(instantiation,[status(thm)],[4]) ).
cnf(38,plain,
between(u,v,w),
inference(cnf,[status(esa)],[v_between_u_and_w]) ).
cnf(l11,plain,
between(u,v,w),
inference(instantiation,[status(thm)],[38]) ).
cnf(39,plain,
u != v,
inference(cnf,[status(esa)],[u_not_v]) ).
cnf(l3,plain,
u != v,
inference(instantiation,[status(thm)],[39]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l22,l2,l4,l7,l11,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO027-3 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.12 % 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 : Sun Jul 20 10:39:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.33 % launching worker at depth: 1
% 0.19/0.33 % launching worker at depth: 2
% 0.19/0.33 % launching worker at depth: 4
% 0.19/0.33 % launching worker at depth: 5
% 0.19/0.33 % launching worker at depth: 6
% 0.19/0.33 % launching worker at depth: 3
% 0.19/0.33 % launching worker at depth: 7
% 0.19/0.33 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.39 % launching worker at depth: 10
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------