TSTP Solution File: LAT274-2 by ConnectPP---0.2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : LAT274-2 : 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 : n026.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 09:08:27 EST 2024

% Result   : Unsatisfiable 158.16s 158.38s
% Output   : Proof 158.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Mar  3 12:38:37 EST 2024
% 0.14/0.34  % CPUTime  : 
% 158.16/158.38  % SZS status Unsatisfiable for theBenchmark
% 158.16/158.38  % SZS output start Proof for theBenchmark
% 158.16/158.38  
% 158.16/158.38  % Problem matrix:
% 158.16/158.38  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 158.16/158.38  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 158.16/158.38  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 158.16/158.38  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( tc_set(__eqx_0) = tc_set(__eqy_0)) )).
% 158.16/158.38  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)) )).
% 158.16/158.38  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 158.16/158.38  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( v_sko__4mj(__eqx_0, __eqx_1, __eqx_2) = v_sko__4mj(__eqy_0, __eqy_1, __eqy_2)) )).
% 158.16/158.38  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( v_sko__4mk(__eqx_0, __eqx_1, __eqx_2) = v_sko__4mk(__eqy_0, __eqy_1, __eqy_2)) )).
% 158.16/158.38  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Tarski_Ointerval(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Tarski_Ointerval(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 158.16/158.38  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( v_sko__4mi(__eqx_0, __eqx_1, __eqx_2) = v_sko__4mi(__eqy_0, __eqy_1, __eqy_2)) )).
% 158.16/158.38  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) )).
% 158.16/158.38  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) )).
% 158.16/158.38  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Tarski_OisLub(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Tarski_OisLub(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 158.16/158.38  cnf(matrix-13, plain, ( ~c_lessequals(V_S, V_A, tc_set(t_a)) | c_in(c_Pair(V_a, V_L, t_a, t_a), v_r, tc_prod(t_a, t_a)) | c_in(v_sko__4mj(V_S, V_a, v_r), V_S, t_a) | c_in(v_sko__4mk(V_L, V_S, v_r), V_S, t_a) | ( V_S = c_emptyset) )).
% 158.16/158.38  cnf(matrix-14, plain, ( ~c_in(c_Pair(v_sko__4mk(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(V_a, V_L, t_a, t_a), v_r, tc_prod(t_a, t_a)) | c_in(v_sko__4mj(V_S, V_a, v_r), V_S, t_a) | ( V_S = c_emptyset) )).
% 158.16/158.38  cnf(matrix-15, plain, ( ~c_in(c_Pair(V_a, v_sko__4mj(V_S, V_a, v_r), 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(V_a, V_L, t_a, t_a), v_r, tc_prod(t_a, t_a)) | c_in(v_sko__4mk(V_L, V_S, v_r), V_S, t_a) | ( V_S = c_emptyset) )).
% 158.16/158.38  cnf(matrix-16, plain, ( ~c_in(c_Pair(V_a, v_sko__4mj(V_S, V_a, v_r), t_a, t_a), v_r, tc_prod(t_a, t_a)) | ~c_in(c_Pair(v_sko__4mk(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(V_a, V_L, t_a, t_a), v_r, tc_prod(t_a, t_a)) | ( V_S = c_emptyset) )).
% 158.16/158.38  cnf(matrix-17, plain, ( ~c_in(V_x, V_S, T_a) | ~c_lessequals(V_S, c_Tarski_Ointerval(V_r, V_a, V_b, T_a), tc_set(T_a)) | c_in(c_Pair(V_a, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 158.16/158.38  cnf(matrix-18, plain, ( ~c_in(V_x, V_S, T_a) | ~c_lessequals(V_S, c_Tarski_Ointerval(V_r, V_a, V_b, T_a), tc_set(T_a)) | c_in(c_Pair(V_x, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 158.16/158.38  cnf(matrix-19, plain, ( ~c_in(c_Pair(V_x, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) | c_in(V_x, c_Tarski_Ointerval(V_r, V_a, V_b, T_a), T_a) )).
% 158.16/158.38  cnf(matrix-20, plain, ( ~c_Tarski_OisLub(V_S, v_cl, V_L, t_a) | ~c_in(V_y, V_S, t_a) | c_in(c_Pair(V_y, V_L, t_a, t_a), v_r, tc_prod(t_a, t_a)) )).
% 158.16/158.38  cnf(matrix-21, plain, ( ~c_Tarski_OisLub(V_S, v_cl, V_L, t_a) | ~c_in(V_z, v_A, t_a) | c_in(c_Pair(V_L, V_z, t_a, t_a), v_r, tc_prod(t_a, t_a)) | c_in(v_sko__4mi(V_S, v_r, V_z), V_S, t_a) )).
% 158.16/158.38  cnf(matrix-22, plain, ( ~c_Tarski_OisLub(V_S, v_cl, V_L, t_a) | ~c_in(V_z, v_A, t_a) | ~c_in(c_Pair(v_sko__4mi(V_S, v_r, V_z), V_z, t_a, t_a), v_r, tc_prod(t_a, t_a)) | c_in(c_Pair(V_L, V_z, t_a, t_a), v_r, tc_prod(t_a, t_a)) )).
% 158.16/158.38  cnf(matrix-23, plain, ( c_in(v_b, v_A, t_a) )).
% 158.16/158.38  cnf(matrix-24, plain, ( c_lessequals(v_S, c_Tarski_Ointerval(v_r, v_a, v_b, t_a), tc_set(t_a)) )).
% 158.16/158.38  cnf(matrix-25, plain, ( ( v_S != c_emptyset) )).
% 158.16/158.38  cnf(matrix-26, plain, ( c_Tarski_OisLub(v_S, v_cl, v_L, t_a) )).
% 158.16/158.38  cnf(matrix-27, plain, ( ~c_in(v_L, c_Tarski_Ointerval(v_r, v_a, v_b, t_a), t_a) )).
% 158.16/158.38  
% 158.16/158.38  % Proof stack:
% 158.16/158.38  cnf(proof-stack, plain, 
% 158.16/158.38  proof_stack(
% 158.16/158.38  start(27), 
% 158.16/158.38  left_branch(0, 19, 2, 2), 
% 158.16/158.38  left_branch(0, 22, 3, 3), 
% 158.16/158.38  left_branch(0, 26, 0, 4), 
% 158.16/158.38  right_branch(4), 
% 158.16/158.38  left_branch(0, 18, 2, 5), 
% 158.16/158.38  left_branch(0, 21, 3, 6), 
% 158.16/158.38  left_branch(0, 26, 0, 7), 
% 158.16/158.38  right_branch(7), 
% 158.16/158.38  reduction(0, 1), 
% 158.16/158.38  left_branch(0, 23, 0, 9), 
% 158.16/158.38  right_branch(9), 
% 158.16/158.38  right_branch(6), 
% 158.16/158.38  left_branch(0, 24, 0, 7), 
% 158.16/158.38  right_branch(7), 
% 158.16/158.38  right_branch(5), 
% 158.16/158.38  left_branch(0, 23, 0, 6), 
% 158.16/158.38  right_branch(6), 
% 158.16/158.38  right_branch(3), 
% 158.16/158.38  left_branch(0, 15, 2, 4), 
% 158.16/158.38  left_branch(0, 17, 2, 5), 
% 158.16/158.38  left_branch(0, 14, 3, 6), 
% 158.16/158.38  left_branch(0, 20, 2, 7), 
% 158.16/158.38  left_branch(0, 26, 0, 8), 
% 158.16/158.38  right_branch(8), 
% 158.16/158.38  left_branch(0, 13, 3, 9), 
% 158.16/158.38  left_branch(0, 24, 0, 10), 
% 158.16/158.38  right_branch(10), 
% 158.16/158.38  left_branch(0, 25, 0, 11), 
% 158.16/158.38  right_branch(11), 
% 158.16/158.38  reduction(0, 3), 
% 158.16/158.38  reduction(0, 1), 
% 158.16/158.38  right_branch(9), 
% 158.16/158.38  right_branch(7), 
% 158.16/158.38  left_branch(0, 25, 0, 8), 
% 158.16/158.38  right_branch(8), 
% 158.16/158.38  reduction(0, 1), 
% 158.16/158.38  left_branch(0, 24, 0, 10), 
% 158.16/158.38  right_branch(10), 
% 158.16/158.38  right_branch(6), 
% 158.16/158.38  left_branch(0, 24, 0, 7), 
% 158.16/158.38  right_branch(7), 
% 158.16/158.38  right_branch(5), 
% 158.16/158.38  left_branch(0, 20, 1, 6), 
% 158.16/158.38  left_branch(0, 26, 0, 7), 
% 158.16/158.38  right_branch(7), 
% 158.16/158.38  left_branch(0, 16, 1, 8), 
% 158.16/158.38  left_branch(0, 17, 2, 9), 
% 158.16/158.38  left_branch(0, 14, 3, 10), 
% 158.16/158.38  reduction(0, 3), 
% 158.16/158.38  left_branch(0, 25, 0, 12), 
% 158.16/158.38  right_branch(12), 
% 158.16/158.38  reduction(0, 1), 
% 158.16/158.38  left_branch(0, 24, 0, 14), 
% 158.16/158.38  right_branch(14), 
% 158.16/158.38  right_branch(10), 
% 158.16/158.38  left_branch(0, 24, 0, 11), 
% 158.16/158.38  right_branch(11), 
% 158.16/158.38  right_branch(9), 
% 158.16/158.38  reduction(0, 1), 
% 158.16/158.38  left_branch(0, 24, 0, 11), 
% 158.16/158.38  right_branch(11), 
% 158.16/158.38  left_branch(0, 25, 0, 12), 
% 158.16/158.38  right_branch(12), 
% 158.16/158.38  right_branch(8), 
% 158.16/158.38  right_branch(6), 
% 158.16/158.38  left_branch(0, 25, 0, 7), 
% 158.16/158.38  right_branch(7), 
% 158.16/158.38  left_branch(0, 24, 0, 8), 
% 158.16/158.38  right_branch(8), 
% 158.16/158.38  right_branch(4), 
% 158.16/158.38  right_branch(2)
% 158.16/158.38  )).
% 158.16/158.38  % SZS output end Proof for theBenchmark
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