TSTP Solution File: GEO011-4 by ConnectPP---0.3.0

View Problem - Process Solution

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% File     : ConnectPP---0.3.0
% Problem  : GEO011-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n005.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 0.13s 0.37s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO011-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Mar 21 10:02:15 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% 0.13/0.37  
% 0.13/0.37  % Problem matrix:
% 0.13/0.37  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.37  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.37  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.37  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( distance(__eqx_0, __eqx_1) = distance(__eqy_0, __eqy_1)) )).
% 0.13/0.37  cnf(matrix-4, 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)) )).
% 0.13/0.37  cnf(matrix-5, 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)) )).
% 0.13/0.37  cnf(matrix-6, 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)) )).
% 0.13/0.37  cnf(matrix-7, 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)) )).
% 0.13/0.37  cnf(matrix-8, 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)) )).
% 0.13/0.37  cnf(matrix-9, 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) )).
% 0.13/0.37  cnf(matrix-10, 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) )).
% 0.13/0.37  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~equal_distance(__eqx_0, __eqx_1) | equal_distance(__eqy_0, __eqy_1) )).
% 0.13/0.37  cnf(matrix-12, plain, ( ~between(X, Y, Z) | colinear(X, Y, Z) )).
% 0.13/0.37  cnf(matrix-13, plain, ( ~between(Y, Z, X) | colinear(X, Y, Z) )).
% 0.13/0.37  cnf(matrix-14, plain, ( ~between(Z, X, Y) | colinear(X, Y, Z) )).
% 0.13/0.37  cnf(matrix-15, plain, ( ~colinear(X, Y, Z) | between(X, Y, Z) | between(Y, Z, X) | between(Z, X, Y) )).
% 0.13/0.37  cnf(matrix-16, plain, ( equal_distance(distance(X, Y), distance(Y, X)) )).
% 0.13/0.37  cnf(matrix-17, plain, ( ~equal_distance(distance(X, Y), distance(Z, V)) | ~equal_distance(distance(X, Y), distance(V2, W)) | equal_distance(distance(Z, V), distance(V2, W)) )).
% 0.13/0.37  cnf(matrix-18, plain, ( ~equal_distance(distance(X, Y), distance(Z, Z)) | ( X = Y) )).
% 0.13/0.37  cnf(matrix-19, plain, ( between(X, Y, extension(X, Y, W, V)) )).
% 0.13/0.37  cnf(matrix-20, plain, ( equal_distance(distance(Y, extension(X, Y, W, V)), distance(W, V)) )).
% 0.13/0.37  cnf(matrix-21, plain, ( ~equal_distance(distance(X, Y), distance(X1, Y1)) | ~equal_distance(distance(Y, Z), distance(Y1, Z1)) | ~equal_distance(distance(X, V), distance(X1, V1)) | ~equal_distance(distance(Y, V), distance(Y1, V1)) | ~between(X, Y, Z) | ~between(X1, Y1, Z1) | ( X = Y) | equal_distance(distance(Z, V), distance(Z1, V1)) )).
% 0.13/0.37  cnf(matrix-22, plain, ( ~between(X, Y, X) | ( X = Y) )).
% 0.13/0.37  cnf(matrix-23, plain, ( ~between(U, V, W) | ~between(Y, X, W) | between(V, inner_pasch(U, V, W, X, Y), Y) )).
% 0.13/0.37  cnf(matrix-24, plain, ( ~between(U, V, W) | ~between(Y, X, W) | between(X, inner_pasch(U, V, W, X, Y), U) )).
% 0.13/0.37  cnf(matrix-25, plain, ( ~between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3) )).
% 0.13/0.37  cnf(matrix-26, plain, ( ~between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_1) )).
% 0.13/0.37  cnf(matrix-27, plain, ( ~between(lower_dimension_point_3, lower_dimension_point_1, lower_dimension_point_2) )).
% 0.13/0.37  cnf(matrix-28, plain, ( ~equal_distance(distance(X, W), distance(X, V)) | ~equal_distance(distance(Y, W), distance(Y, V)) | ~equal_distance(distance(Z, W), distance(Z, V)) | between(X, Y, Z) | between(Y, Z, X) | between(Z, X, Y) | ( W = V) )).
% 0.13/0.37  cnf(matrix-29, plain, ( ~between(U, W, Y) | ~between(V, W, X) | ( U = W) | between(U, V, euclid1(U, V, W, X, Y)) )).
% 0.13/0.37  cnf(matrix-30, plain, ( ~between(U, W, Y) | ~between(V, W, X) | ( U = W) | between(U, X, euclid2(U, V, W, X, Y)) )).
% 0.13/0.37  cnf(matrix-31, 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)) )).
% 0.13/0.37  cnf(matrix-32, plain, ( ~equal_distance(distance(U, V), distance(U, V1)) | ~equal_distance(distance(U, X), distance(U, X1)) | ~between(U, V, X) | ~between(V, W, X) | between(V1, continuous(U, V, V1, W, X, X1), X1) )).
% 0.13/0.37  cnf(matrix-33, plain, ( ~equal_distance(distance(U, V), distance(U, V1)) | ~equal_distance(distance(U, X), distance(U, X1)) | ~between(U, V, X) | ~between(V, W, X) | equal_distance(distance(U, W), distance(U, continuous(U, V, V1, W, X, X1))) )).
% 0.13/0.37  cnf(matrix-34, plain, ( colinear(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3) )).
% 0.13/0.37  
% 0.13/0.37  % Proof stack:
% 0.13/0.37  cnf(proof-stack, plain, 
% 0.13/0.37  proof_stack(
% 0.13/0.37  start(25), 
% 0.13/0.37  left_branch(0, 15, 1, 2), 
% 0.13/0.37  left_branch(0, 34, 0, 3), 
% 0.13/0.37  right_branch(3), 
% 0.13/0.37  left_branch(0, 26, 0, 4), 
% 0.13/0.37  right_branch(4), 
% 0.13/0.37  left_branch(0, 27, 0, 5), 
% 0.13/0.37  right_branch(5), 
% 0.13/0.37  right_branch(2)
% 0.13/0.37  )).
% 0.13/0.37  % SZS output end Proof for theBenchmark
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