%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO030-3 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.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 14.78s 2.20s
% Output : CNFRefutation 14.78s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_w_is_w1)
% Comments :
%------------------------------------------------------------------------------
cnf(67,plain,
w != w1,
inference(cnf,[status(esa)],[prove_w_is_w1]) ).
cnf(l0,plain,
w != w1,
inference(instantiation,[status(thm)],[67]) ).
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(w,w,w,w1)
| ~ between(extension(w1,w,lower_dimension_point_1,lower_dimension_point_2),w,w)
| ~ between(extension(w1,w,lower_dimension_point_1,lower_dimension_point_2),w,w1)
| extension(w1,w,lower_dimension_point_1,lower_dimension_point_2) = w
| w = w1 ),
inference(instantiation,[status(thm)],[37]) ).
cnf(5,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X1,X6,X3,X7)
| ~ equidistant(X1,X4,X3,X5)
| ~ between(X0,X1,X6)
| ~ between(X2,X3,X7)
| X0 = X1
| equidistant(X6,X4,X7,X5) ),
inference(cnf,[status(esa)],[outer_five_segment]) ).
cnf(l2,plain,
( ~ equidistant(u,v,u,v)
| ~ equidistant(u,w,u,w1)
| ~ equidistant(v,w,v,w)
| ~ equidistant(v,w,v,w1)
| ~ between(u,v,w)
| ~ between(u,v,w)
| u = v
| equidistant(w,w,w,w1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(19,plain,
equidistant(X0,X1,X0,X1),
inference(cnf,[status(esa)],[d1]) ).
cnf(l6,plain,
equidistant(u,v,u,v),
inference(instantiation,[status(thm)],[19]) ).
cnf(65,plain,
equidistant(v,w,v,w1),
inference(cnf,[status(esa)],[v_to_w_equals_v_to_w1]) ).
cnf(l19,plain,
equidistant(v,w,v,w1),
inference(instantiation,[status(thm)],[65]) ).
cnf(66,plain,
u != v,
inference(cnf,[status(esa)],[u_not_v]) ).
cnf(l18,plain,
u != v,
inference(instantiation,[status(thm)],[66]) ).
cnf(64,plain,
equidistant(u,w,u,w1),
inference(cnf,[status(esa)],[u_to_w_equals_u_to_w1]) ).
cnf(l5,plain,
equidistant(u,w,u,w1),
inference(instantiation,[status(thm)],[64]) ).
cnf(63,plain,
between(u,v,w),
inference(cnf,[status(esa)],[v_between_u_and_w]) ).
cnf(l40,plain,
between(u,v,w),
inference(instantiation,[status(thm)],[63]) ).
cnf(l4,plain,
equidistant(v,w,v,w),
inference(instantiation,[status(thm)],[19]) ).
cnf(l15,plain,
between(u,v,w),
inference(instantiation,[status(thm)],[63]) ).
cnf(45,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(cnf,[status(esa)],[t1]) ).
cnf(l3,plain,
( ~ between(w1,w,extension(w1,w,lower_dimension_point_1,lower_dimension_point_2))
| between(extension(w1,w,lower_dimension_point_1,lower_dimension_point_2),w,w1) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(29,plain,
( X0 != extension(X1,X2,X3,X4)
| between(X1,X2,X0) ),
inference(cnf,[status(esa)],[b0]) ).
cnf(l9,plain,
( w != extension(extension(w1,w,lower_dimension_point_1,lower_dimension_point_2),w,X2_12,X2_12)
| between(extension(w1,w,lower_dimension_point_1,lower_dimension_point_2),w,w) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(59,plain,
X0 != extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf,[status(esa)],[e3_1]) ).
cnf(l48,plain,
w != extension(w1,w,lower_dimension_point_1,lower_dimension_point_2),
inference(instantiation,[status(thm)],[59]) ).
cnf(61,plain,
between(X0,X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2)),
inference(cnf,[status(esa)],[e3_3]) ).
cnf(l23,plain,
between(w1,w,extension(w1,w,lower_dimension_point_1,lower_dimension_point_2)),
inference(instantiation,[status(thm)],[61]) ).
cnf(28,plain,
X0 = extension(X1,X0,X2,X2),
inference(cnf,[status(esa)],[e1]) ).
cnf(l12,plain,
w = extension(extension(w1,w,lower_dimension_point_1,lower_dimension_point_2),w,X2_12,X2_12),
inference(instantiation,[status(thm)],[28]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l19,l18,l5,l40,l4,l15,l3,l9,l48,l23,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO030-3 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 10:40:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 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: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.41 % launching worker at depth: 10
% 14.78/2.20 % SZS status Theorem for theBenchmark
% 14.78/2.20 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------