TSTP Solution File: GEO011-3 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GEO011-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 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 : Mon Mar 25 14:11:22 EDT 2024
% Result : Unsatisfiable 0.39s 0.55s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO011-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n029.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 : Thu Mar 21 11:09:03 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.39/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.39/0.55 % SZS output start Proof for theBenchmark
% 0.39/0.55
% 0.39/0.55 % Problem matrix:
% 0.39/0.55 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.39/0.55 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.39/0.55 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.39/0.55 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( extension(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = extension(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.39/0.55 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( inner_pasch(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = inner_pasch(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 0.39/0.55 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( euclid1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = euclid1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 0.39/0.55 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( euclid2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = euclid2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 0.39/0.55 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( continuous(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = continuous(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 0.39/0.55 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( reflection(__eqx_0, __eqx_1) = reflection(__eqy_0, __eqy_1)) )).
% 0.39/0.55 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( insertion(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = insertion(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.39/0.55 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~equidistant(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | equidistant(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 0.39/0.55 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~between(__eqx_0, __eqx_1, __eqx_2) | between(__eqy_0, __eqy_1, __eqy_2) )).
% 0.39/0.55 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~colinear(__eqx_0, __eqx_1, __eqx_2) | colinear(__eqy_0, __eqy_1, __eqy_2) )).
% 0.39/0.55 cnf(matrix-13, plain, ( equidistant(X, Y, Y, X) )).
% 0.39/0.55 cnf(matrix-14, plain, ( ~equidistant(X, Y, Z, V) | ~equidistant(X, Y, V2, W) | equidistant(Z, V, V2, W) )).
% 0.39/0.55 cnf(matrix-15, plain, ( ~equidistant(X, Y, Z, Z) | ( X = Y) )).
% 0.39/0.55 cnf(matrix-16, plain, ( between(X, Y, extension(X, Y, W, V)) )).
% 0.39/0.55 cnf(matrix-17, plain, ( equidistant(Y, extension(X, Y, W, V), W, V) )).
% 0.39/0.55 cnf(matrix-18, plain, ( ~equidistant(X, Y, X1, Y1) | ~equidistant(Y, Z, Y1, Z1) | ~equidistant(X, V, X1, V1) | ~equidistant(Y, V, Y1, V1) | ~between(X, Y, Z) | ~between(X1, Y1, Z1) | ( X = Y) | equidistant(Z, V, Z1, V1) )).
% 0.39/0.55 cnf(matrix-19, plain, ( ~between(X, Y, X) | ( X = Y) )).
% 0.39/0.55 cnf(matrix-20, plain, ( ~between(U, V, W) | ~between(Y, X, W) | between(V, inner_pasch(U, V, W, X, Y), Y) )).
% 0.39/0.55 cnf(matrix-21, plain, ( ~between(U, V, W) | ~between(Y, X, W) | between(X, inner_pasch(U, V, W, X, Y), U) )).
% 0.39/0.55 cnf(matrix-22, plain, ( ~between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3) )).
% 0.39/0.55 cnf(matrix-23, plain, ( ~between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_1) )).
% 0.39/0.55 cnf(matrix-24, plain, ( ~between(lower_dimension_point_3, lower_dimension_point_1, lower_dimension_point_2) )).
% 0.39/0.55 cnf(matrix-25, plain, ( ~equidistant(X, W, X, V) | ~equidistant(Y, W, Y, V) | ~equidistant(Z, W, Z, V) | between(X, Y, Z) | between(Y, Z, X) | between(Z, X, Y) | ( W = V) )).
% 0.39/0.55 cnf(matrix-26, plain, ( ~between(U, W, Y) | ~between(V, W, X) | ( U = W) | between(U, V, euclid1(U, V, W, X, Y)) )).
% 0.39/0.55 cnf(matrix-27, plain, ( ~between(U, W, Y) | ~between(V, W, X) | ( U = W) | between(U, X, euclid2(U, V, W, X, Y)) )).
% 0.39/0.55 cnf(matrix-28, plain, ( ~between(U, W, Y) | ~between(V, W, X) | ( U = W) | between(euclid1(U, V, W, X, Y), Y, euclid2(U, V, W, X, Y)) )).
% 0.39/0.55 cnf(matrix-29, plain, ( ~equidistant(U, V, U, V1) | ~equidistant(U, X, U, X1) | ~between(U, V, X) | ~between(V, W, X) | between(V1, continuous(U, V, V1, W, X, X1), X1) )).
% 0.39/0.55 cnf(matrix-30, plain, ( ~equidistant(U, V, U, V1) | ~equidistant(U, X, U, X1) | ~between(U, V, X) | ~between(V, W, X) | equidistant(U, W, U, continuous(U, V, V1, W, X, X1)) )).
% 0.39/0.55 cnf(matrix-31, plain, ( ~between(X, Y, Z) | colinear(X, Y, Z) )).
% 0.39/0.55 cnf(matrix-32, plain, ( ~between(Y, Z, X) | colinear(X, Y, Z) )).
% 0.39/0.55 cnf(matrix-33, plain, ( ~between(Z, X, Y) | colinear(X, Y, Z) )).
% 0.39/0.55 cnf(matrix-34, plain, ( ~colinear(X, Y, Z) | between(X, Y, Z) | between(Y, Z, X) | between(Z, X, Y) )).
% 0.39/0.55 cnf(matrix-35, plain, ( ( reflection(U, V) = extension(U, V, U, V)) )).
% 0.39/0.55 cnf(matrix-36, plain, ( ( insertion(U1, W1, U, V) = extension(extension(W1, U1, lower_dimension_point_1, lower_dimension_point_2), U1, U, V)) )).
% 0.39/0.55 cnf(matrix-37, plain, ( equidistant(U, V, U, V) )).
% 0.39/0.55 cnf(matrix-38, plain, ( ~equidistant(U, V, W, X) | equidistant(W, X, U, V) )).
% 0.39/0.55 cnf(matrix-39, plain, ( ~equidistant(U, V, W, X) | equidistant(V, U, W, X) )).
% 0.39/0.55 cnf(matrix-40, plain, ( ~equidistant(U, V, W, X) | equidistant(U, V, X, W) )).
% 0.39/0.55 cnf(matrix-41, plain, ( ~equidistant(U, V, W, X) | equidistant(V, U, X, W) )).
% 0.39/0.55 cnf(matrix-42, plain, ( ~equidistant(U, V, W, X) | equidistant(W, X, V, U) )).
% 0.39/0.55 cnf(matrix-43, plain, ( ~equidistant(U, V, W, X) | equidistant(X, W, U, V) )).
% 0.39/0.55 cnf(matrix-44, plain, ( ~equidistant(U, V, W, X) | equidistant(X, W, V, U) )).
% 0.39/0.55 cnf(matrix-45, plain, ( ~equidistant(U, V, W, X) | ~equidistant(W, X, Y, Z) | equidistant(U, V, Y, Z) )).
% 0.39/0.55 cnf(matrix-46, plain, ( ( V = extension(U, V, W, W)) )).
% 0.39/0.55 cnf(matrix-47, plain, ( ( Y != extension(U, V, W, X)) | between(U, V, Y) )).
% 0.39/0.55 cnf(matrix-48, plain, ( between(U, V, reflection(U, V)) )).
% 0.39/0.55 cnf(matrix-49, plain, ( equidistant(V, reflection(U, V), U, V) )).
% 0.39/0.55 cnf(matrix-50, plain, ( ( U != V) | ( V = reflection(U, V)) )).
% 0.39/0.55 cnf(matrix-51, plain, ( ( U = reflection(U, U)) )).
% 0.39/0.55 cnf(matrix-52, plain, ( ( V != reflection(U, V)) | ( U = V) )).
% 0.39/0.55 cnf(matrix-53, plain, ( equidistant(U, U, V, V) )).
% 0.39/0.55 cnf(matrix-54, plain, ( ~equidistant(U, V, U1, V1) | ~equidistant(V, W, V1, W1) | ~between(U, V, W) | ~between(U1, V1, W1) | equidistant(U, W, U1, W1) )).
% 0.39/0.55 cnf(matrix-55, plain, ( ~between(U, V, W) | ~between(U, V, X) | ~equidistant(V, W, V, X) | ( U = V) | ( W = X) )).
% 0.39/0.55 cnf(matrix-56, plain, ( ~between(U, V, W) | ( U = V) | ( W = extension(U, V, V, W)) )).
% 0.39/0.55 cnf(matrix-57, plain, ( ~equidistant(W, X, Y, Z) | ( extension(U, V, W, X) = extension(U, V, Y, Z)) | ( U = V) )).
% 0.39/0.55 cnf(matrix-58, plain, ( ( extension(U, V, U, V) = extension(U, V, V, U)) | ( U = V) )).
% 0.39/0.55 cnf(matrix-59, plain, ( equidistant(V, U, V, reflection(reflection(U, V), V)) )).
% 0.39/0.55 cnf(matrix-60, plain, ( ( U = reflection(reflection(U, V), V)) )).
% 0.39/0.55 cnf(matrix-61, plain, ( between(U, V, V) )).
% 0.39/0.55 cnf(matrix-62, plain, ( ~between(U, W, X) | ( U != X) | between(V, W, X) )).
% 0.39/0.55 cnf(matrix-63, plain, ( ~between(U, V, W) | between(W, V, U) )).
% 0.39/0.55 cnf(matrix-64, plain, ( between(U, U, V) )).
% 0.39/0.55 cnf(matrix-65, plain, ( ~between(U, V, W) | ~between(V, U, W) | ( U = V) )).
% 0.39/0.55 cnf(matrix-66, plain, ( ~between(U, V, W) | ~between(U, W, V) | ( V = W) )).
% 0.39/0.55 cnf(matrix-67, plain, ( ~between(U, V, W) | ~between(V, U, W) | ( U = V) | ( V = W) )).
% 0.39/0.55 cnf(matrix-68, plain, ( ~between(U, V, W) | ~between(U, W, V) | ( U = V) | ( V = W) )).
% 0.39/0.55 cnf(matrix-69, plain, ( ~between(U, V, W) | ~between(U, W, X) | between(V, W, X) )).
% 0.39/0.55 cnf(matrix-70, plain, ( ~between(U, V, W) | ~between(V, W, X) | between(U, W, X) | ( V = W) )).
% 0.39/0.55 cnf(matrix-71, plain, ( ~between(U, V, W) | ~between(V, W, X) | between(U, V, X) | ( V = W) )).
% 0.39/0.55 cnf(matrix-72, plain, ( ~between(U, V, X) | ~between(V, W, X) | between(U, W, X) )).
% 0.39/0.55 cnf(matrix-73, plain, ( ~between(U, V, W) | ~between(U, W, X) | between(U, V, X) )).
% 0.39/0.55 cnf(matrix-74, plain, ( ( lower_dimension_point_1 != lower_dimension_point_2) )).
% 0.39/0.55 cnf(matrix-75, plain, ( ( lower_dimension_point_2 != lower_dimension_point_3) )).
% 0.39/0.55 cnf(matrix-76, plain, ( ( lower_dimension_point_1 != lower_dimension_point_3) )).
% 0.39/0.55 cnf(matrix-77, plain, ( ( V != extension(U, V, lower_dimension_point_1, lower_dimension_point_2)) )).
% 0.39/0.55 cnf(matrix-78, 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)) )).
% 0.39/0.55 cnf(matrix-79, plain, ( between(U, V, extension(U, V, lower_dimension_point_1, lower_dimension_point_2)) )).
% 0.39/0.55 cnf(matrix-80, plain, ( ~between(U, V, W) | ~between(U1, V1, W) | ~between(U, X, U1) | between(X, inner_pasch(V1, inner_pasch(U, X, U1, V1, W), U, V, W), W) | between(V, inner_pasch(V1, inner_pasch(U, X, U1, V1, W), U, V, W), V1) )).
% 0.39/0.55 cnf(matrix-81, plain, ( ~between(U, V, W) | ~equidistant(U, W, U, W1) | ~equidistant(V, W, V, W1) | ( U = V) | ( W = W1) )).
% 0.39/0.55 cnf(matrix-82, plain, ( ~equidistant(U, V, U1, V1) | ~equidistant(U, W, U1, W1) | ~equidistant(U, X, U1, X1) | ~equidistant(W, X, W1, X1) | ~between(U, V, W) | ~between(U1, V1, W1) | equidistant(V, X, V1, X1) )).
% 0.39/0.55 cnf(matrix-83, plain, ( ~between(U, V, W) | ~between(U1, V1, W1) | ~equidistant(U, V, U1, V1) | ~equidistant(U, W, U1, W1) | equidistant(V, W, V1, W1) )).
% 0.39/0.55 cnf(matrix-84, plain, ( ~equidistant(U, V, U1, V1) | ~equidistant(V, W, V1, W1) | ~equidistant(U, X, U1, X1) | ~equidistant(W, X, W1, X1) | ~between(U, V, W) | ~between(U1, V1, W1) | equidistant(V, X, V1, X1) )).
% 0.39/0.55 cnf(matrix-85, plain, ( ~between(U, V, W) | ~equidistant(U, V, U, X) | ~equidistant(W, V, W, X) | ( V = X) )).
% 0.39/0.55 cnf(matrix-86, plain, ( equidistant(U, V, U1, insertion(U1, W1, U, V)) )).
% 0.39/0.55 cnf(matrix-87, plain, ( ~between(U, V, W) | ~equidistant(U, W, U1, W1) | between(U1, insertion(U1, W1, U, V), W1) )).
% 0.39/0.55 cnf(matrix-88, plain, ( ~between(U, V, W) | ~equidistant(U, W, U1, W1) | equidistant(V, W, insertion(U1, W1, U, V), W1) )).
% 0.39/0.55 cnf(matrix-89, plain, ( ~between(U, V, W) | ( V = insertion(U, W, U, V)) )).
% 0.39/0.55 cnf(matrix-90, plain, ( ~equidistant(W, X, Y, Z) | ( insertion(U, V, W, X) = insertion(U, V, Y, Z)) )).
% 0.39/0.55 cnf(matrix-91, plain, ( ~equidistant(U, V, U1, V1) | ~equidistant(V, W, V1, W1) | ~equidistant(U, W, U1, W1) | ~between(U, V, W) | between(U1, V1, W1) )).
% 0.39/0.55 cnf(matrix-92, plain, ( ~between(U, V, W) | ~between(U, V, X) | ( U = V) | between(U, W, X) | between(U, X, W) )).
% 0.39/0.55 cnf(matrix-93, plain, ( ~between(U, V, W) | ~between(U, V, X) | ( U = V) | between(V, W, X) | between(V, X, W) )).
% 0.39/0.55 cnf(matrix-94, plain, ( ~between(U, W, X) | ~between(V, W, X) | ( W = X) | between(U, V, W) | between(V, U, W) )).
% 0.39/0.55 cnf(matrix-95, plain, ( ~between(U, V, X) | ~between(U, W, X) | between(U, V, W) | between(U, W, V) )).
% 0.39/0.55 cnf(matrix-96, plain, ( ~between(U, V, X) | ~between(U, W, X) | between(V, W, X) | between(W, V, X) )).
% 0.39/0.55 cnf(matrix-97, plain, ( ~between(U, V, Y) | ~between(V, W, X) | ~between(U, X, Y) | between(U, W, Y) )).
% 0.39/0.55 cnf(matrix-98, plain, ( ~between(U, V, W) | ~equidistant(U, V, U, W) | ( V = W) )).
% 0.39/0.55 cnf(matrix-99, plain, ( ~between(W, V, U) | colinear(U, V, W) )).
% 0.39/0.55 cnf(matrix-100, plain, ( ~between(U, W, V) | colinear(U, V, W) )).
% 0.39/0.55 cnf(matrix-101, plain, ( ~between(V, U, W) | colinear(U, V, W) )).
% 0.39/0.55 cnf(matrix-102, plain, ( ~colinear(U, V, W) | colinear(W, V, U) )).
% 0.39/0.55 cnf(matrix-103, plain, ( ~colinear(U, V, W) | colinear(V, W, U) )).
% 0.39/0.55 cnf(matrix-104, plain, ( ~colinear(U, V, W) | colinear(U, W, V) )).
% 0.39/0.55 cnf(matrix-105, plain, ( ~colinear(U, V, W) | colinear(W, U, V) )).
% 0.39/0.55 cnf(matrix-106, plain, ( ~colinear(U, V, W) | colinear(V, U, W) )).
% 0.39/0.55 cnf(matrix-107, plain, ( colinear(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3) )).
% 0.39/0.55
% 0.39/0.55 % Proof stack:
% 0.39/0.55 cnf(proof-stack, plain,
% 0.39/0.55 proof_stack(
% 0.39/0.55 start(22),
% 0.39/0.55 left_branch(0, 34, 1, 2),
% 0.39/0.55 left_branch(0, 107, 0, 3),
% 0.39/0.55 right_branch(3),
% 0.39/0.55 left_branch(0, 23, 0, 4),
% 0.39/0.55 right_branch(4),
% 0.39/0.55 left_branch(0, 24, 0, 5),
% 0.39/0.55 right_branch(5),
% 0.39/0.55 right_branch(2)
% 0.39/0.55 )).
% 0.39/0.55 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------