TSTP Solution File: ANA009-2 by ConnectPP---0.2.2

View Problem - Process Solution

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% File     : ConnectPP---0.2.2
% Problem  : ANA009-2 : 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 : 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 : Wed Mar  6 08:52:08 EST 2024

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Mar  3 17:36:33 EST 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.34  % SZS output start Proof for theBenchmark
% 0.13/0.34  
% 0.13/0.34  % Problem matrix:
% 0.13/0.34  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.34  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.34  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.34  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_plus(__eqx_0, __eqx_1, __eqx_2) = c_plus(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.13/0.34  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_uminus(__eqx_0, __eqx_1) = c_uminus(__eqy_0, __eqy_1)) )).
% 0.13/0.34  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( v_lb(__eqx_0) = v_lb(__eqy_0)) )).
% 0.13/0.34  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( v_f(__eqx_0) = v_f(__eqy_0)) )).
% 0.13/0.34  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(__eqx_0) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(__eqy_0) )).
% 0.13/0.34  cnf(matrix-8, 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) )).
% 0.13/0.34  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__group__add(__eqx_0) | class_OrderedGroup_Oab__group__add(__eqy_0) )).
% 0.13/0.34  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__idom(__eqx_0) | class_Ring__and__Field_Oordered__idom(__eqy_0) )).
% 0.13/0.34  cnf(matrix-11, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ~c_lessequals(V_a, V_b, T_a) | c_lessequals(c_plus(V_a, V_c, T_a), c_plus(V_b, V_c, T_a), T_a) )).
% 0.13/0.34  cnf(matrix-12, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( c_plus(V_a, c_uminus(V_a, T_a), T_a) = c_0) )).
% 0.13/0.34  cnf(matrix-13, plain, ( c_lessequals(v_lb(V_U), v_f(V_U), t_b) )).
% 0.13/0.34  cnf(matrix-14, plain, ( ~c_lessequals(c_0, c_plus(v_f(v_x), c_uminus(v_lb(v_x), t_b), t_b), t_b) )).
% 0.13/0.34  cnf(matrix-15, plain, ( ~class_Ring__and__Field_Oordered__idom(T) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) )).
% 0.13/0.34  cnf(matrix-16, plain, ( ~class_Ring__and__Field_Oordered__idom(T) | class_OrderedGroup_Oab__group__add(T) )).
% 0.13/0.34  cnf(matrix-17, plain, ( class_Ring__and__Field_Oordered__idom(t_b) )).
% 0.13/0.34  
% 0.13/0.34  % Proof stack:
% 0.13/0.34  cnf(proof-stack, plain, 
% 0.13/0.34  proof_stack(
% 0.13/0.34  start(14), 
% 0.13/0.34  left_branch(0, 8, 4, 2), 
% 0.13/0.34  left_branch(0, 12, 1, 3), 
% 0.13/0.34  left_branch(0, 16, 1, 4), 
% 0.13/0.34  left_branch(0, 17, 0, 5), 
% 0.13/0.34  right_branch(5), 
% 0.13/0.34  right_branch(4), 
% 0.13/0.34  right_branch(3), 
% 0.13/0.34  left_branch(0, 11, 2, 4), 
% 0.13/0.34  left_branch(0, 15, 1, 5), 
% 0.13/0.34  left_branch(0, 17, 0, 6), 
% 0.13/0.34  right_branch(6), 
% 0.13/0.34  right_branch(5), 
% 0.13/0.34  left_branch(0, 13, 0, 6), 
% 0.13/0.34  right_branch(6), 
% 0.13/0.34  right_branch(4), 
% 0.13/0.34  left_branch(0, 0, 0, 5), 
% 0.13/0.34  right_branch(5), 
% 0.13/0.34  left_branch(0, 3, 3, 6), 
% 0.13/0.34  left_branch(0, 6, 1, 7), 
% 0.13/0.34  left_branch(0, 0, 0, 8), 
% 0.13/0.34  right_branch(8), 
% 0.13/0.34  right_branch(7), 
% 0.13/0.34  lemmata(0, 2), 
% 0.13/0.34  left_branch(0, 4, 2, 9), 
% 0.13/0.34  left_branch(0, 0, 0, 10), 
% 0.13/0.34  right_branch(10), 
% 0.13/0.34  lemmata(0, 2), 
% 0.13/0.34  right_branch(9), 
% 0.13/0.34  right_branch(6), 
% 0.13/0.34  right_branch(2)
% 0.13/0.34  )).
% 0.13/0.34  % SZS output end Proof for theBenchmark
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