TSTP Solution File: GEO086-1 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : GEO086-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n025.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 : Wed Mar 6 09:02:38 EST 2024
% Result : Unsatisfiable 4.23s 4.41s
% Output : Proof 4.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO086-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n025.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 : Mon Mar 4 12:25:55 EST 2024
% 0.12/0.33 % CPUTime :
% 4.23/4.41 % SZS status Unsatisfiable for theBenchmark
% 4.23/4.41 % SZS output start Proof for theBenchmark
% 4.23/4.41
% 4.23/4.41 % Problem matrix:
% 4.23/4.41 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 4.23/4.41 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 4.23/4.41 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 4.23/4.41 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ax0_sk1(__eqx_0, __eqx_1) = ax0_sk1(__eqy_0, __eqy_1)) )).
% 4.23/4.41 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sum(__eqx_0, __eqx_1) = sum(__eqy_0, __eqy_1)) )).
% 4.23/4.41 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( ax0_sk2(__eqx_0, __eqx_1, __eqx_2) = ax0_sk2(__eqy_0, __eqy_1, __eqy_2)) )).
% 4.23/4.41 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ax0_sk3(__eqx_0, __eqx_1) = ax0_sk3(__eqy_0, __eqy_1)) )).
% 4.23/4.41 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ax0_sk4(__eqx_0, __eqx_1) = ax0_sk4(__eqy_0, __eqy_1)) )).
% 4.23/4.41 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( ax0_sk5(__eqx_0, __eqx_1, __eqx_2) = ax0_sk5(__eqy_0, __eqy_1, __eqy_2)) )).
% 4.23/4.41 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( ax0_sk6(__eqx_0) = ax0_sk6(__eqy_0)) )).
% 4.23/4.41 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( ax0_sk7(__eqx_0) = ax0_sk7(__eqy_0)) )).
% 4.23/4.41 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( ax0_sk8(__eqx_0) = ax0_sk8(__eqy_0)) )).
% 4.23/4.41 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ax0_sk9(__eqx_0, __eqx_1) = ax0_sk9(__eqy_0, __eqy_1)) )).
% 4.23/4.41 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ax0_sk10(__eqx_0, __eqx_1) = ax0_sk10(__eqy_0, __eqy_1)) )).
% 4.23/4.41 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ax0_sk11(__eqx_0, __eqx_1) = ax0_sk11(__eqy_0, __eqy_1)) )).
% 4.23/4.41 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ax0_sk12(__eqx_0, __eqx_1) = ax0_sk12(__eqy_0, __eqy_1)) )).
% 4.23/4.41 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ax0_sk13(__eqx_0, __eqx_1) = ax0_sk13(__eqy_0, __eqy_1)) )).
% 4.23/4.41 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~part_of(__eqx_0, __eqx_1) | part_of(__eqy_0, __eqy_1) )).
% 4.23/4.41 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~incident_c(__eqx_0, __eqx_1) | incident_c(__eqy_0, __eqy_1) )).
% 4.23/4.41 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~end_point(__eqx_0, __eqx_1) | end_point(__eqy_0, __eqy_1) )).
% 4.23/4.41 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~inner_point(__eqx_0, __eqx_1) | inner_point(__eqy_0, __eqy_1) )).
% 4.23/4.41 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~meet(__eqx_0, __eqx_1, __eqx_2) | meet(__eqy_0, __eqy_1, __eqy_2) )).
% 4.23/4.41 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~closed(__eqx_0) | closed(__eqy_0) )).
% 4.23/4.41 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~open(__eqx_0) | open(__eqy_0) )).
% 4.23/4.41 cnf(matrix-24, plain, ( ~part_of(A, B) | ~incident_c(C, A) | incident_c(C, B) )).
% 4.23/4.41 cnf(matrix-25, plain, ( incident_c(ax0_sk1(A, B), A) | part_of(A, B) )).
% 4.23/4.41 cnf(matrix-26, plain, ( ~incident_c(ax0_sk1(A, B), B) | part_of(A, B) )).
% 4.23/4.41 cnf(matrix-27, plain, ( ( A != sum(B, C)) | ~incident_c(D, A) | incident_c(D, B) | incident_c(D, C) )).
% 4.23/4.41 cnf(matrix-28, plain, ( ( A != sum(B, C)) | ~incident_c(D, B) | incident_c(D, A) )).
% 4.23/4.41 cnf(matrix-29, plain, ( ( A != sum(B, C)) | ~incident_c(D, C) | incident_c(D, A) )).
% 4.23/4.41 cnf(matrix-30, plain, ( incident_c(ax0_sk2(A, B, C), C) | incident_c(ax0_sk2(A, B, C), B) | incident_c(ax0_sk2(A, B, C), A) | ( C = sum(B, A)) )).
% 4.23/4.41 cnf(matrix-31, plain, ( ~incident_c(ax0_sk2(A, B, C), B) | ~incident_c(ax0_sk2(A, B, C), C) | ( C = sum(B, A)) )).
% 4.23/4.41 cnf(matrix-32, plain, ( ~incident_c(ax0_sk2(A, B, C), A) | ~incident_c(ax0_sk2(A, B, C), C) | ( C = sum(B, A)) )).
% 4.23/4.41 cnf(matrix-33, plain, ( ~end_point(A, B) | incident_c(A, B) )).
% 4.23/4.41 cnf(matrix-34, plain, ( ~end_point(A, B) | ~part_of(C, B) | ~part_of(D, B) | ~incident_c(A, C) | ~incident_c(A, D) | part_of(C, D) | part_of(D, C) )).
% 4.23/4.41 cnf(matrix-35, plain, ( ~incident_c(A, B) | part_of(ax0_sk3(B, A), B) | end_point(A, B) )).
% 4.23/4.41 cnf(matrix-36, plain, ( ~incident_c(A, B) | part_of(ax0_sk4(B, A), B) | end_point(A, B) )).
% 4.23/4.41 cnf(matrix-37, plain, ( ~incident_c(A, B) | incident_c(A, ax0_sk3(B, A)) | end_point(A, B) )).
% 4.23/4.41 cnf(matrix-38, plain, ( ~incident_c(A, B) | incident_c(A, ax0_sk4(B, A)) | end_point(A, B) )).
% 4.23/4.41 cnf(matrix-39, plain, ( ~incident_c(A, B) | ~part_of(ax0_sk3(B, A), ax0_sk4(B, A)) | end_point(A, B) )).
% 4.23/4.41 cnf(matrix-40, plain, ( ~incident_c(A, B) | ~part_of(ax0_sk4(B, A), ax0_sk3(B, A)) | end_point(A, B) )).
% 4.23/4.41 cnf(matrix-41, plain, ( ~inner_point(A, B) | incident_c(A, B) )).
% 4.23/4.41 cnf(matrix-42, plain, ( ~inner_point(A, B) | ~end_point(A, B) )).
% 4.23/4.41 cnf(matrix-43, plain, ( ~incident_c(A, B) | end_point(A, B) | inner_point(A, B) )).
% 4.23/4.41 cnf(matrix-44, plain, ( ~meet(A, B, C) | incident_c(A, B) )).
% 4.23/4.41 cnf(matrix-45, plain, ( ~meet(A, B, C) | incident_c(A, C) )).
% 4.23/4.41 cnf(matrix-46, plain, ( ~meet(A, B, C) | ~incident_c(D, B) | ~incident_c(D, C) | end_point(D, B) )).
% 4.23/4.41 cnf(matrix-47, plain, ( ~meet(A, B, C) | ~incident_c(D, B) | ~incident_c(D, C) | end_point(D, C) )).
% 4.23/4.41 cnf(matrix-48, plain, ( ~incident_c(A, B) | ~incident_c(A, C) | incident_c(ax0_sk5(C, B, A), B) | meet(A, B, C) )).
% 4.23/4.41 cnf(matrix-49, plain, ( ~incident_c(A, B) | ~incident_c(A, C) | incident_c(ax0_sk5(C, B, A), C) | meet(A, B, C) )).
% 4.23/4.41 cnf(matrix-50, plain, ( ~incident_c(A, B) | ~incident_c(A, C) | ~end_point(ax0_sk5(C, B, A), B) | ~end_point(ax0_sk5(C, B, A), C) | meet(A, B, C) )).
% 4.23/4.41 cnf(matrix-51, plain, ( ~closed(A) | ~end_point(B, A) )).
% 4.23/4.41 cnf(matrix-52, plain, ( end_point(ax0_sk6(A), A) | closed(A) )).
% 4.23/4.41 cnf(matrix-53, plain, ( ~open(A) | end_point(ax0_sk7(A), A) )).
% 4.23/4.41 cnf(matrix-54, plain, ( ~end_point(A, B) | open(B) )).
% 4.23/4.41 cnf(matrix-55, plain, ( ~part_of(A, B) | ( A = B) | open(A) )).
% 4.23/4.41 cnf(matrix-56, plain, ( ~part_of(A, B) | ~part_of(C, B) | ~part_of(D, B) | ~end_point(E, A) | ~end_point(E, C) | ~end_point(E, D) | part_of(C, D) | part_of(D, C) | part_of(A, C) | part_of(C, A) | part_of(A, D) | part_of(D, A) )).
% 4.23/4.41 cnf(matrix-57, plain, ( inner_point(ax0_sk8(A), A) )).
% 4.23/4.41 cnf(matrix-58, plain, ( ~inner_point(A, B) | meet(A, ax0_sk9(A, B), ax0_sk10(A, B)) )).
% 4.23/4.41 cnf(matrix-59, plain, ( ~inner_point(A, B) | ( B = sum(ax0_sk9(A, B), ax0_sk10(A, B))) )).
% 4.23/4.41 cnf(matrix-60, plain, ( ~end_point(A, B) | ~end_point(C, B) | ~end_point(D, B) | ( A = C) | ( A = D) | ( C = D) )).
% 4.23/4.41 cnf(matrix-61, plain, ( ~end_point(A, B) | end_point(ax0_sk11(A, B), B) )).
% 4.23/4.41 cnf(matrix-62, plain, ( ~end_point(A, B) | ( A != ax0_sk11(A, B)) )).
% 4.23/4.41 cnf(matrix-63, plain, ( ~closed(A) | ~meet(B, C, D) | ( A != sum(C, D)) | ~end_point(E, C) | meet(E, C, D) )).
% 4.23/4.41 cnf(matrix-64, plain, ( ~meet(A, B, C) | ( ax0_sk12(C, B) = sum(B, C)) )).
% 4.23/4.41 cnf(matrix-65, plain, ( incident_c(ax0_sk13(A, B), B) | incident_c(ax0_sk13(A, B), A) | ( B = A) )).
% 4.23/4.41 cnf(matrix-66, plain, ( ~incident_c(ax0_sk13(A, B), A) | ~incident_c(ax0_sk13(A, B), B) | ( B = A) )).
% 4.23/4.41 cnf(matrix-67, plain, ( open(sk14) )).
% 4.23/4.41 cnf(matrix-68, plain, ( part_of(sk15, sk14) )).
% 4.23/4.41 cnf(matrix-69, plain, ( ~open(sk15) )).
% 4.23/4.41
% 4.23/4.41 % Proof stack:
% 4.23/4.41 cnf(proof-stack, plain,
% 4.23/4.41 proof_stack(
% 4.23/4.41 start(51),
% 4.23/4.41 left_branch(0, 52, 1, 2),
% 4.23/4.41 left_branch(0, 61, 0, 3),
% 4.23/4.41 left_branch(0, 54, 0, 4),
% 4.23/4.41 left_branch(0, 69, 0, 5),
% 4.23/4.41 right_branch(5),
% 4.23/4.41 right_branch(4),
% 4.23/4.41 right_branch(3),
% 4.23/4.41 right_branch(2),
% 4.23/4.41 left_branch(0, 19, 3, 3),
% 4.23/4.41 left_branch(0, 66, 2, 4),
% 4.23/4.41 left_branch(0, 65, 1, 5),
% 4.23/4.41 reduction(0, 2),
% 4.23/4.41 reduction(0, 1),
% 4.23/4.41 right_branch(5),
% 4.23/4.41 lemmata(0, 1),
% 4.23/4.41 right_branch(4),
% 4.23/4.41 left_branch(0, 61, 1, 5),
% 4.23/4.41 left_branch(0, 53, 1, 6),
% 4.23/4.41 left_branch(0, 67, 0, 7),
% 4.23/4.41 right_branch(7),
% 4.23/4.41 right_branch(6),
% 4.23/4.41 right_branch(5),
% 4.23/4.41 left_branch(0, 1, 1, 6),
% 4.23/4.41 left_branch(0, 55, 1, 7),
% 4.23/4.41 left_branch(0, 68, 0, 8),
% 4.23/4.41 right_branch(8),
% 4.23/4.41 left_branch(0, 69, 0, 9),
% 4.23/4.41 right_branch(9),
% 4.23/4.41 right_branch(7),
% 4.23/4.41 right_branch(6),
% 4.23/4.41 right_branch(3)
% 4.23/4.41 )).
% 4.23/4.41 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------