%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO034-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 95.41s 12.36s
% Output : CNFRefutation 95.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_v_is_x)
% Comments :
%------------------------------------------------------------------------------
cnf(70,plain,
v != x,
inference(cnf,[status(esa)],[prove_v_is_x]) ).
cnf(l0,plain,
v != x,
inference(instantiation,[status(thm)],[70]) ).
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,v,v,x)
| ~ between(extension(x,v,lower_dimension_point_1,lower_dimension_point_2),v,v)
| ~ between(extension(x,v,lower_dimension_point_1,lower_dimension_point_2),v,x)
| extension(x,v,lower_dimension_point_1,lower_dimension_point_2) = v
| v = x ),
inference(instantiation,[status(thm)],[37]) ).
cnf(64,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X4,X6,X5,X7)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| equidistant(X1,X6,X3,X7) ),
inference(cnf,[status(esa)],[d12]) ).
cnf(l2,plain,
( ~ equidistant(u,v,u,v)
| ~ equidistant(u,w,u,w)
| ~ equidistant(u,v,u,x)
| ~ equidistant(w,v,w,x)
| ~ between(u,v,w)
| ~ between(u,v,w)
| equidistant(v,v,v,x) ),
inference(instantiation,[status(thm)],[64]) ).
cnf(45,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(cnf,[status(esa)],[t1]) ).
cnf(l20,plain,
( ~ between(x,v,extension(x,v,lower_dimension_point_1,lower_dimension_point_2))
| between(extension(x,v,lower_dimension_point_1,lower_dimension_point_2),v,x) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(19,plain,
equidistant(X0,X1,X0,X1),
inference(cnf,[status(esa)],[d1]) ).
cnf(l7,plain,
equidistant(u,v,u,v),
inference(instantiation,[status(thm)],[19]) ).
cnf(68,plain,
equidistant(u,v,u,x),
inference(cnf,[status(esa)],[u_to_v_equals_u_to_x]) ).
cnf(l18,plain,
equidistant(u,v,u,x),
inference(instantiation,[status(thm)],[68]) ).
cnf(69,plain,
equidistant(w,v,w,x),
inference(cnf,[status(esa)],[w_to_v_equals_w_to_x]) ).
cnf(l25,plain,
equidistant(w,v,w,x),
inference(instantiation,[status(thm)],[69]) ).
cnf(67,plain,
between(u,v,w),
inference(cnf,[status(esa)],[v_between_u_and_w]) ).
cnf(l26,plain,
between(u,v,w),
inference(instantiation,[status(thm)],[67]) ).
cnf(l3,plain,
( ~ between(v,v,extension(x,v,lower_dimension_point_1,lower_dimension_point_2))
| between(extension(x,v,lower_dimension_point_1,lower_dimension_point_2),v,v) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(46,plain,
between(X0,X0,X1),
inference(cnf,[status(esa)],[t2]) ).
cnf(l16,plain,
between(v,v,extension(x,v,lower_dimension_point_1,lower_dimension_point_2)),
inference(instantiation,[status(thm)],[46]) ).
cnf(l28,plain,
between(u,v,w),
inference(instantiation,[status(thm)],[67]) ).
cnf(l4,plain,
equidistant(u,w,u,w),
inference(instantiation,[status(thm)],[19]) ).
cnf(3,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf,[status(esa)],[segment_construction1]) ).
cnf(l31,plain,
between(x,v,extension(x,v,lower_dimension_point_1,lower_dimension_point_2)),
inference(instantiation,[status(thm)],[3]) ).
cnf(59,plain,
X0 != extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf,[status(esa)],[e3_1]) ).
cnf(l10,plain,
v != extension(x,v,lower_dimension_point_1,lower_dimension_point_2),
inference(instantiation,[status(thm)],[59]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l20,l7,l18,l25,l26,l3,l16,l28,l4,l31,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO034-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 10:42:04 EDT 2025
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.35 % launching worker at depth: 9
% 0.19/0.45 % launching worker at depth: 10
% 95.41/12.36 % SZS status Theorem for theBenchmark
% 95.41/12.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------