TSTP Solution File: LAT276-2 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n004.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 14:18:58 EDT 2024
% Result : Unsatisfiable 43.35s 43.59s
% Output : Proof 43.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Mar 20 15:34:09 EDT 2024
% 0.14/0.35 % CPUTime :
% 43.35/43.59 % SZS status Unsatisfiable for theBenchmark
% 43.35/43.59 % SZS output start Proof for theBenchmark
% 43.35/43.59
% 43.35/43.59 % Problem matrix:
% 43.35/43.59 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 43.35/43.59 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 43.35/43.59 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 43.35/43.59 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( tc_set(__eqx_0) = tc_set(__eqy_0)) )).
% 43.35/43.59 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Pair(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Pair(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.35/43.59 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Tarski_Opotype_Oorder(__eqx_0, __eqx_1, __eqx_2) = c_Tarski_Opotype_Oorder(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.35/43.59 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 43.35/43.59 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Tarski_Olub(__eqx_0, __eqx_1, __eqx_2) = c_Tarski_Olub(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.35/43.59 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Tarski_Opotype_Opset(__eqx_0, __eqx_1, __eqx_2) = c_Tarski_Opotype_Opset(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.35/43.59 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( v_sko__4mP(__eqx_0, __eqx_1, __eqx_2) = v_sko__4mP(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.35/43.59 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_lessequals(__eqx_0, __eqx_1, __eqx_2) | c_lessequals(__eqy_0, __eqy_1, __eqy_2) )).
% 43.35/43.59 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_in(__eqx_0, __eqx_1, __eqx_2) | c_in(__eqy_0, __eqy_1, __eqy_2) )).
% 43.35/43.59 cnf(matrix-12, plain, ( c_lessequals(v_S, v_A, tc_set(t_a)) )).
% 43.35/43.59 cnf(matrix-13, plain, ( c_in(c_Pair(V_V, v_xa, t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)) | ~c_in(V_V, v_S, t_a) | ~c_in(c_Pair(v_xa, c_Tarski_Olub(v_S, v_cl, t_a), t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)) )).
% 43.35/43.59 cnf(matrix-14, plain, ( c_in(v_xa, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), t_a) | c_in(v_xa, v_S, t_a) )).
% 43.35/43.59 cnf(matrix-15, plain, ( ~c_in(c_Pair(c_Tarski_Olub(v_S, v_cl, t_a), v_xa, t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)) | c_in(v_xa, v_S, t_a) )).
% 43.35/43.59 cnf(matrix-16, plain, ( ~c_in(c_Pair(c_Tarski_Olub(v_S, v_cl, t_a), v_xa, t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)) | ~c_in(c_Pair(v_xa, c_Tarski_Olub(v_S, v_cl, t_a), t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)) )).
% 43.35/43.59 cnf(matrix-17, plain, ( c_in(c_Pair(V_U, v_xa, t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)) | ~c_in(V_U, v_S, t_a) | c_in(v_xa, v_S, t_a) )).
% 43.35/43.59 cnf(matrix-18, plain, ( ~c_in(V_c, V_A, T_a) | ~c_lessequals(V_A, V_B, tc_set(T_a)) | c_in(V_c, V_B, T_a) )).
% 43.35/43.59 cnf(matrix-19, plain, ( ( v_A = c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit)) )).
% 43.35/43.59 cnf(matrix-20, plain, ( ~c_in(V_L, v_A, t_a) | ~c_lessequals(V_S, v_A, tc_set(t_a)) | c_in(c_Pair(c_Tarski_Olub(V_S, v_cl, t_a), V_L, t_a, t_a), v_r, tc_prod(t_a, t_a)) | c_in(v_sko__4mP(V_L, V_S, v_r), V_S, t_a) )).
% 43.35/43.59 cnf(matrix-21, plain, ( ~c_in(V_L, v_A, t_a) | ~c_in(c_Pair(v_sko__4mP(V_L, V_S, v_r), V_L, t_a, t_a), v_r, tc_prod(t_a, t_a)) | ~c_lessequals(V_S, v_A, tc_set(t_a)) | c_in(c_Pair(c_Tarski_Olub(V_S, v_cl, t_a), V_L, t_a, t_a), v_r, tc_prod(t_a, t_a)) )).
% 43.35/43.59 cnf(matrix-22, plain, ( ~c_in(V_x, V_S, t_a) | ~c_lessequals(V_S, v_A, tc_set(t_a)) | c_in(c_Pair(V_x, c_Tarski_Olub(V_S, v_cl, t_a), t_a, t_a), v_r, tc_prod(t_a, t_a)) )).
% 43.35/43.59 cnf(matrix-23, plain, ( ( v_r = c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit)) )).
% 43.35/43.59
% 43.35/43.59 % Proof stack:
% 43.35/43.59 cnf(proof-stack, plain,
% 43.35/43.59 proof_stack(
% 43.35/43.59 start(12),
% 43.35/43.59 left_branch(0, 22, 1, 2),
% 43.35/43.59 left_branch(0, 15, 1, 3),
% 43.35/43.59 left_branch(0, 11, 4, 4),
% 43.35/43.59 left_branch(0, 4, 4, 5),
% 43.35/43.59 left_branch(0, 7, 3, 6),
% 43.35/43.59 left_branch(0, 1, 1, 7),
% 43.35/43.59 left_branch(0, 0, 0, 8),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 right_branch(7),
% 43.35/43.59 left_branch(0, 1, 1, 8),
% 43.35/43.59 left_branch(0, 0, 0, 9),
% 43.35/43.59 right_branch(9),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 left_branch(0, 1, 1, 9),
% 43.35/43.59 left_branch(0, 0, 0, 10),
% 43.35/43.59 right_branch(10),
% 43.35/43.59 right_branch(9),
% 43.35/43.59 right_branch(6),
% 43.35/43.59 left_branch(0, 1, 1, 7),
% 43.35/43.59 left_branch(0, 0, 0, 8),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 right_branch(7),
% 43.35/43.59 left_branch(0, 1, 1, 8),
% 43.35/43.59 left_branch(0, 0, 0, 9),
% 43.35/43.59 right_branch(9),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 left_branch(0, 1, 1, 9),
% 43.35/43.59 left_branch(0, 0, 0, 10),
% 43.35/43.59 right_branch(10),
% 43.35/43.59 right_branch(9),
% 43.35/43.59 right_branch(5),
% 43.35/43.59 left_branch(0, 21, 3, 6),
% 43.35/43.59 left_branch(0, 11, 4, 7),
% 43.35/43.59 left_branch(0, 1, 1, 8),
% 43.35/43.59 left_branch(0, 0, 0, 9),
% 43.35/43.59 right_branch(9),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 left_branch(0, 14, 0, 9),
% 43.35/43.59 reduction(0, 1),
% 43.35/43.59 right_branch(9),
% 43.35/43.59 left_branch(0, 0, 0, 10),
% 43.35/43.59 right_branch(10),
% 43.35/43.59 left_branch(0, 1, 1, 11),
% 43.35/43.59 left_branch(0, 19, 0, 12),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 right_branch(7),
% 43.35/43.59 reduction(0, 0),
% 43.35/43.59 left_branch(0, 11, 4, 9),
% 43.35/43.59 left_branch(0, 4, 4, 10),
% 43.35/43.59 left_branch(0, 9, 3, 11),
% 43.35/43.59 left_branch(0, 1, 1, 12),
% 43.35/43.59 left_branch(0, 0, 0, 13),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 left_branch(0, 1, 1, 13),
% 43.35/43.59 left_branch(0, 23, 0, 14),
% 43.35/43.59 right_branch(14),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 left_branch(0, 1, 1, 14),
% 43.35/43.59 left_branch(0, 0, 0, 15),
% 43.35/43.59 right_branch(15),
% 43.35/43.59 right_branch(14),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 left_branch(0, 1, 1, 12),
% 43.35/43.59 left_branch(0, 0, 0, 13),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 left_branch(0, 1, 1, 13),
% 43.35/43.59 left_branch(0, 0, 0, 14),
% 43.35/43.59 right_branch(14),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 left_branch(0, 1, 1, 14),
% 43.35/43.59 left_branch(0, 0, 0, 15),
% 43.35/43.59 right_branch(15),
% 43.35/43.59 right_branch(14),
% 43.35/43.59 right_branch(10),
% 43.35/43.59 left_branch(0, 17, 0, 11),
% 43.35/43.59 reduction(0, 1),
% 43.35/43.59 left_branch(0, 11, 4, 13),
% 43.35/43.59 left_branch(0, 9, 3, 14),
% 43.35/43.59 left_branch(0, 0, 0, 15),
% 43.35/43.59 right_branch(15),
% 43.35/43.59 left_branch(0, 23, 0, 16),
% 43.35/43.59 right_branch(16),
% 43.35/43.59 left_branch(0, 0, 0, 17),
% 43.35/43.59 right_branch(17),
% 43.35/43.59 right_branch(14),
% 43.35/43.59 left_branch(0, 20, 3, 15),
% 43.35/43.59 lemmata(0, 1),
% 43.35/43.59 reduction(0, 3),
% 43.35/43.59 lemmata(0, 2),
% 43.35/43.59 right_branch(15),
% 43.35/43.59 left_branch(0, 0, 0, 16),
% 43.35/43.59 right_branch(16),
% 43.35/43.59 left_branch(0, 0, 0, 17),
% 43.35/43.59 right_branch(17),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 left_branch(0, 6, 2, 12),
% 43.35/43.59 left_branch(0, 0, 0, 13),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 lemmata(0, 5),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 left_branch(0, 1, 1, 13),
% 43.35/43.59 left_branch(0, 23, 0, 14),
% 43.35/43.59 right_branch(14),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 right_branch(9),
% 43.35/43.59 right_branch(6),
% 43.35/43.59 left_branch(0, 6, 2, 7),
% 43.35/43.59 left_branch(0, 0, 0, 8),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 lemmata(0, 2),
% 43.35/43.59 right_branch(7),
% 43.35/43.59 left_branch(0, 23, 0, 8),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 right_branch(4),
% 43.35/43.59 right_branch(3),
% 43.35/43.59 left_branch(0, 11, 3, 4),
% 43.35/43.59 left_branch(0, 4, 4, 5),
% 43.35/43.59 left_branch(0, 1, 1, 6),
% 43.35/43.59 left_branch(0, 0, 0, 7),
% 43.35/43.59 right_branch(7),
% 43.35/43.59 right_branch(6),
% 43.35/43.59 left_branch(0, 1, 1, 7),
% 43.35/43.59 left_branch(0, 0, 0, 8),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 right_branch(7),
% 43.35/43.59 left_branch(0, 1, 1, 8),
% 43.35/43.59 left_branch(0, 0, 0, 9),
% 43.35/43.59 right_branch(9),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 left_branch(0, 7, 3, 9),
% 43.35/43.59 left_branch(0, 1, 1, 10),
% 43.35/43.59 left_branch(0, 0, 0, 11),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 right_branch(10),
% 43.35/43.59 left_branch(0, 1, 1, 11),
% 43.35/43.59 left_branch(0, 0, 0, 12),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 left_branch(0, 1, 1, 12),
% 43.35/43.59 left_branch(0, 0, 0, 13),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 right_branch(9),
% 43.35/43.59 right_branch(5),
% 43.35/43.59 left_branch(0, 16, 1, 6),
% 43.35/43.59 left_branch(0, 11, 4, 7),
% 43.35/43.59 left_branch(0, 4, 4, 8),
% 43.35/43.59 left_branch(0, 7, 3, 9),
% 43.35/43.59 left_branch(0, 1, 1, 10),
% 43.35/43.59 left_branch(0, 0, 0, 11),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 right_branch(10),
% 43.35/43.59 left_branch(0, 1, 1, 11),
% 43.35/43.59 left_branch(0, 0, 0, 12),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 left_branch(0, 1, 1, 12),
% 43.35/43.59 left_branch(0, 0, 0, 13),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 right_branch(9),
% 43.35/43.59 left_branch(0, 1, 1, 10),
% 43.35/43.59 left_branch(0, 0, 0, 11),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 right_branch(10),
% 43.35/43.59 left_branch(0, 1, 1, 11),
% 43.35/43.59 left_branch(0, 0, 0, 12),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 left_branch(0, 1, 1, 12),
% 43.35/43.59 left_branch(0, 0, 0, 13),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 left_branch(0, 21, 3, 9),
% 43.35/43.59 left_branch(0, 11, 4, 10),
% 43.35/43.59 left_branch(0, 1, 1, 11),
% 43.35/43.59 left_branch(0, 0, 0, 12),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 left_branch(0, 18, 2, 12),
% 43.35/43.59 left_branch(0, 14, 1, 13),
% 43.35/43.59 reduction(0, 6),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 left_branch(0, 10, 4, 14),
% 43.35/43.59 left_branch(0, 0, 0, 15),
% 43.35/43.59 right_branch(15),
% 43.35/43.59 reduction(0, 0),
% 43.35/43.59 left_branch(0, 0, 0, 17),
% 43.35/43.59 right_branch(17),
% 43.35/43.59 left_branch(0, 19, 0, 18),
% 43.35/43.59 right_branch(18),
% 43.35/43.59 right_branch(14),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 left_branch(0, 0, 0, 13),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 left_branch(0, 1, 1, 14),
% 43.35/43.59 left_branch(0, 19, 0, 15),
% 43.35/43.59 right_branch(15),
% 43.35/43.59 right_branch(14),
% 43.35/43.59 right_branch(10),
% 43.35/43.59 reduction(0, 0),
% 43.35/43.59 left_branch(0, 11, 4, 12),
% 43.35/43.59 left_branch(0, 4, 4, 13),
% 43.35/43.59 left_branch(0, 9, 3, 14),
% 43.35/43.59 left_branch(0, 0, 0, 15),
% 43.35/43.59 right_branch(15),
% 43.35/43.59 left_branch(0, 0, 0, 16),
% 43.35/43.59 right_branch(16),
% 43.35/43.59 left_branch(0, 0, 0, 17),
% 43.35/43.59 right_branch(17),
% 43.35/43.59 right_branch(14),
% 43.35/43.59 left_branch(0, 1, 1, 15),
% 43.35/43.59 left_branch(0, 0, 0, 16),
% 43.35/43.59 right_branch(16),
% 43.35/43.59 right_branch(15),
% 43.35/43.59 left_branch(0, 1, 1, 16),
% 43.35/43.59 left_branch(0, 0, 0, 17),
% 43.35/43.59 right_branch(17),
% 43.35/43.59 right_branch(16),
% 43.35/43.59 left_branch(0, 1, 1, 17),
% 43.35/43.59 left_branch(0, 0, 0, 18),
% 43.35/43.59 right_branch(18),
% 43.35/43.59 right_branch(17),
% 43.35/43.59 right_branch(13),
% 43.35/43.59 left_branch(0, 13, 0, 14),
% 43.35/43.59 reduction(0, 2),
% 43.35/43.59 left_branch(0, 20, 3, 16),
% 43.35/43.59 lemmata(0, 3),
% 43.35/43.59 reduction(0, 4),
% 43.35/43.59 lemmata(0, 4),
% 43.35/43.59 right_branch(16),
% 43.35/43.59 right_branch(14),
% 43.35/43.59 left_branch(0, 6, 2, 15),
% 43.35/43.59 left_branch(0, 0, 0, 16),
% 43.35/43.59 right_branch(16),
% 43.35/43.59 lemmata(0, 7),
% 43.35/43.59 right_branch(15),
% 43.35/43.59 left_branch(0, 1, 1, 16),
% 43.35/43.59 left_branch(0, 23, 0, 17),
% 43.35/43.59 right_branch(17),
% 43.35/43.59 right_branch(16),
% 43.35/43.59 right_branch(12),
% 43.35/43.59 right_branch(9),
% 43.35/43.59 left_branch(0, 6, 2, 10),
% 43.35/43.59 left_branch(0, 0, 0, 11),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 lemmata(0, 4),
% 43.35/43.59 right_branch(10),
% 43.35/43.59 left_branch(0, 23, 0, 11),
% 43.35/43.59 right_branch(11),
% 43.35/43.59 right_branch(7),
% 43.35/43.59 right_branch(6),
% 43.35/43.59 left_branch(0, 6, 2, 7),
% 43.35/43.59 left_branch(0, 0, 0, 8),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 lemmata(0, 3),
% 43.35/43.59 right_branch(7),
% 43.35/43.59 left_branch(0, 23, 0, 8),
% 43.35/43.59 right_branch(8),
% 43.35/43.59 right_branch(4),
% 43.35/43.59 right_branch(2)
% 43.35/43.59 )).
% 43.35/43.59 % SZS output end Proof for theBenchmark
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