TSTP Solution File: ANA029-2 by ConnectPP---0.2.2

View Problem - Process Solution

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% File     : ConnectPP---0.2.2
% Problem  : ANA029-2 : 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 : n023.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 08:52:11 EST 2024

% Result   : Unsatisfiable 0.18s 0.43s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ANA029-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sun Mar  3 17:54:05 EST 2024
% 0.13/0.33  % CPUTime  : 
% 0.18/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.43  % SZS output start Proof for theBenchmark
% 0.18/0.43  
% 0.18/0.43  % Problem matrix:
% 0.18/0.43  cnf(matrix-0, plain, ( ~c_lessequals(c_0, c_minus(v_f(v_x), v_k(v_x), t_b), t_b) )).
% 0.18/0.43  cnf(matrix-1, plain, ( ~c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x), v_k(v_x), t_b), c_0, t_b), c_HOL_Oabs(c_minus(v_f(v_x), v_g(v_x), t_b), t_b), t_b) )).
% 0.18/0.43  cnf(matrix-2, plain, ( class_Ring__and__Field_Oordered__idom(t_b) )).
% 0.18/0.43  cnf(matrix-3, plain, ( ~class_OrderedGroup_Olordered__ab__group__abs(T_a) | c_lessequals(c_0, c_HOL_Oabs(V_a, T_a), T_a) )).
% 0.18/0.43  cnf(matrix-4, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ~c_lessequals(c_minus(V_a, V_b, T_a), c_0, T_a) | c_lessequals(V_a, V_b, T_a) )).
% 0.18/0.43  cnf(matrix-5, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ~c_lessequals(V_a, V_b, T_a) | c_lessequals(c_minus(V_a, V_b, T_a), c_0, T_a) )).
% 0.18/0.43  cnf(matrix-6, plain, ( ~class_Orderings_Olinorder(T_a) | c_less(V_y, V_x, T_a) | c_lessequals(V_x, V_y, T_a) )).
% 0.18/0.43  cnf(matrix-7, plain, ( ~class_Orderings_Olinorder(T_b) | ~c_lessequals(V_y, V_z, T_b) | ~c_lessequals(V_x, V_z, T_b) | c_lessequals(c_Orderings_Omax(V_x, V_y, T_b), V_z, T_b) )).
% 0.18/0.43  cnf(matrix-8, plain, ( ~class_Orderings_Oorder(T_a) | ~c_lessequals(V_y, V_z, T_a) | ~c_lessequals(V_x, V_y, T_a) | c_lessequals(V_x, V_z, T_a) )).
% 0.18/0.43  cnf(matrix-9, plain, ( ~class_Orderings_Oorder(T_a) | ~c_less(V_x, V_y, T_a) | c_lessequals(V_x, V_y, T_a) )).
% 0.18/0.43  cnf(matrix-10, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T) | class_Orderings_Oorder(T) )).
% 0.18/0.43  cnf(matrix-11, plain, ( ~class_Ring__and__Field_Oordered__idom(T) | class_Orderings_Olinorder(T) )).
% 0.18/0.43  cnf(matrix-12, plain, ( ~class_Ring__and__Field_Oordered__idom(T) | class_OrderedGroup_Olordered__ab__group__abs(T) )).
% 0.18/0.43  cnf(matrix-13, plain, ( ~class_Ring__and__Field_Oordered__idom(T) | class_OrderedGroup_Opordered__ab__group__add(T) )).
% 0.18/0.43  
% 0.18/0.43  % Proof stack:
% 0.18/0.43  cnf(proof-stack, plain, 
% 0.18/0.43  proof_stack(
% 0.18/0.43  start(0), 
% 0.18/0.43  left_branch(0, 8, 3, 2), 
% 0.18/0.43  left_branch(0, 10, 1, 3), 
% 0.18/0.43  left_branch(0, 13, 1, 4), 
% 0.18/0.43  left_branch(0, 2, 0, 5), 
% 0.18/0.43  right_branch(5), 
% 0.18/0.43  right_branch(4), 
% 0.18/0.43  right_branch(3), 
% 0.18/0.43  left_branch(0, 8, 3, 4), 
% 0.18/0.43  lemmata(0, 0), 
% 0.18/0.43  left_branch(0, 3, 1, 6), 
% 0.18/0.43  left_branch(0, 12, 1, 7), 
% 0.18/0.43  left_branch(0, 2, 0, 8), 
% 0.18/0.43  right_branch(8), 
% 0.18/0.43  right_branch(7), 
% 0.18/0.43  right_branch(6), 
% 0.18/0.43  left_branch(0, 6, 2, 7), 
% 0.18/0.43  left_branch(0, 11, 1, 8), 
% 0.18/0.43  left_branch(0, 2, 0, 9), 
% 0.18/0.43  right_branch(9), 
% 0.18/0.43  right_branch(8), 
% 0.18/0.43  left_branch(0, 9, 1, 9), 
% 0.18/0.43  lemmata(0, 0), 
% 0.18/0.43  reduction(0, 2), 
% 0.18/0.43  right_branch(9), 
% 0.18/0.43  right_branch(7), 
% 0.18/0.43  right_branch(4), 
% 0.18/0.43  left_branch(0, 9, 2, 5), 
% 0.18/0.43  lemmata(0, 0), 
% 0.18/0.43  left_branch(0, 6, 1, 7), 
% 0.18/0.43  left_branch(0, 11, 1, 8), 
% 0.18/0.43  left_branch(0, 2, 0, 9), 
% 0.18/0.43  right_branch(9), 
% 0.18/0.43  right_branch(8), 
% 0.18/0.43  left_branch(0, 7, 2, 9), 
% 0.18/0.43  lemmata(0, 2), 
% 0.18/0.43  left_branch(0, 1, 0, 11), 
% 0.18/0.43  right_branch(11), 
% 0.18/0.43  lemmata(0, 1), 
% 0.18/0.43  right_branch(9), 
% 0.18/0.43  right_branch(7), 
% 0.18/0.43  right_branch(5), 
% 0.18/0.43  right_branch(2)
% 0.18/0.43  )).
% 0.18/0.43  % SZS output end Proof for theBenchmark
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