TSTP Solution File: ANA031-2 by ConnectPP---0.2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : ANA031-2 : 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 : n022.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 08:52:12 EST 2024

% Result   : Unsatisfiable 8.52s 8.68s
% Output   : Proof 8.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.35  % Computer : n022.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 : Sun Mar  3 17:35:04 EST 2024
% 0.14/0.35  % CPUTime  : 
% 8.52/8.68  % SZS status Unsatisfiable for theBenchmark
% 8.52/8.68  % SZS output start Proof for theBenchmark
% 8.52/8.68  
% 8.52/8.68  % Problem matrix:
% 8.52/8.68  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 8.52/8.68  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 8.52/8.68  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 8.52/8.68  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( v_b(__eqx_0) = v_b(__eqy_0)) )).
% 8.52/8.68  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_Oabs(__eqx_0, __eqx_1) = c_HOL_Oabs(__eqy_0, __eqy_1)) )).
% 8.52/8.68  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( v_g(__eqx_0) = v_g(__eqy_0)) )).
% 8.52/8.68  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_times(__eqx_0, __eqx_1, __eqx_2) = c_times(__eqy_0, __eqy_1, __eqy_2)) )).
% 8.52/8.68  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( v_x(__eqx_0) = v_x(__eqy_0)) )).
% 8.52/8.68  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( v_f(__eqx_0) = v_f(__eqy_0)) )).
% 8.52/8.68  cnf(matrix-9, 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) )).
% 8.52/8.68  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Olordered__ab__group__abs(__eqx_0) | class_OrderedGroup_Olordered__ab__group__abs(__eqy_0) )).
% 8.52/8.68  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Osemigroup__mult(__eqx_0) | class_OrderedGroup_Osemigroup__mult(__eqy_0) )).
% 8.52/8.68  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__semigroup__mult(__eqx_0) | class_OrderedGroup_Oab__semigroup__mult(__eqy_0) )).
% 8.52/8.68  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Opordered__semiring(__eqx_0) | class_Ring__and__Field_Opordered__semiring(__eqy_0) )).
% 8.52/8.68  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__idom(__eqx_0) | class_Ring__and__Field_Oordered__idom(__eqy_0) )).
% 8.52/8.68  cnf(matrix-15, plain, ( c_lessequals(c_HOL_Oabs(v_b(V_U), t_b), c_times(v_c, c_HOL_Oabs(v_g(V_U), t_b), t_b), t_b) )).
% 8.52/8.68  cnf(matrix-16, plain, ( ~c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(V_U)), t_b), c_HOL_Oabs(v_f(v_x(V_U)), t_b), t_b), c_times(V_U, c_times(c_HOL_Oabs(v_f(v_x(V_U)), t_b), c_HOL_Oabs(v_g(v_x(V_U)), t_b), t_b), t_b), t_b) )).
% 8.52/8.68  cnf(matrix-17, plain, ( ~class_OrderedGroup_Olordered__ab__group__abs(T_a) | c_lessequals(c_0, c_HOL_Oabs(V_a, T_a), T_a) )).
% 8.52/8.68  cnf(matrix-18, plain, ( ~class_OrderedGroup_Osemigroup__mult(T_a) | ( c_times(c_times(V_a, V_b, T_a), V_c, T_a) = c_times(V_a, c_times(V_b, V_c, T_a), T_a)) )).
% 8.52/8.68  cnf(matrix-19, plain, ( ~class_OrderedGroup_Oab__semigroup__mult(T_a) | ( c_times(V_a, V_b, T_a) = c_times(V_b, V_a, T_a)) )).
% 8.52/8.68  cnf(matrix-20, plain, ( ~class_Ring__and__Field_Opordered__semiring(T_a) | ~c_lessequals(V_a, V_b, T_a) | ~c_lessequals(c_0, V_c, T_a) | c_lessequals(c_times(V_c, V_a, T_a), c_times(V_c, V_b, T_a), T_a) )).
% 8.52/8.68  cnf(matrix-21, plain, ( ~class_Ring__and__Field_Oordered__idom(T) | class_OrderedGroup_Oab__semigroup__mult(T) )).
% 8.52/8.68  cnf(matrix-22, plain, ( ~class_Ring__and__Field_Oordered__idom(T) | class_OrderedGroup_Osemigroup__mult(T) )).
% 8.52/8.68  cnf(matrix-23, plain, ( ~class_Ring__and__Field_Oordered__idom(T) | class_Ring__and__Field_Opordered__semiring(T) )).
% 8.52/8.68  cnf(matrix-24, plain, ( ~class_Ring__and__Field_Oordered__idom(T) | class_OrderedGroup_Olordered__ab__group__abs(T) )).
% 8.52/8.68  cnf(matrix-25, plain, ( class_Ring__and__Field_Oordered__idom(t_b) )).
% 8.52/8.68  
% 8.52/8.68  % Proof stack:
% 8.52/8.68  cnf(proof-stack, plain, 
% 8.52/8.68  proof_stack(
% 8.52/8.68  start(16), 
% 8.52/8.68  left_branch(0, 9, 4, 2), 
% 8.52/8.68  left_branch(0, 19, 1, 3), 
% 8.52/8.68  left_branch(0, 21, 1, 4), 
% 8.52/8.68  left_branch(0, 25, 0, 5), 
% 8.52/8.68  right_branch(5), 
% 8.52/8.68  right_branch(4), 
% 8.52/8.68  right_branch(3), 
% 8.52/8.68  left_branch(0, 20, 3, 4), 
% 8.52/8.68  left_branch(0, 23, 1, 5), 
% 8.52/8.68  left_branch(0, 25, 0, 6), 
% 8.52/8.68  right_branch(6), 
% 8.52/8.68  right_branch(5), 
% 8.52/8.68  left_branch(0, 17, 1, 6), 
% 8.52/8.68  left_branch(0, 24, 1, 7), 
% 8.52/8.68  left_branch(0, 25, 0, 8), 
% 8.52/8.68  right_branch(8), 
% 8.52/8.68  right_branch(7), 
% 8.52/8.68  right_branch(6), 
% 8.52/8.68  left_branch(0, 15, 0, 7), 
% 8.52/8.68  right_branch(7), 
% 8.52/8.68  right_branch(4), 
% 8.52/8.68  left_branch(0, 0, 0, 5), 
% 8.52/8.68  right_branch(5), 
% 8.52/8.68  left_branch(0, 2, 2, 6), 
% 8.52/8.68  left_branch(0, 2, 2, 7), 
% 8.52/8.68  left_branch(0, 19, 1, 8), 
% 8.52/8.68  left_branch(0, 21, 1, 9), 
% 8.52/8.68  left_branch(0, 25, 0, 10), 
% 8.52/8.68  right_branch(10), 
% 8.52/8.68  right_branch(9), 
% 8.52/8.68  right_branch(8), 
% 8.52/8.68  left_branch(0, 18, 1, 9), 
% 8.52/8.68  left_branch(0, 22, 1, 10), 
% 8.52/8.68  left_branch(0, 25, 0, 11), 
% 8.52/8.68  right_branch(11), 
% 8.52/8.68  right_branch(10), 
% 8.52/8.68  right_branch(9), 
% 8.52/8.68  right_branch(7), 
% 8.52/8.68  left_branch(0, 6, 3, 8), 
% 8.52/8.68  left_branch(0, 1, 1, 9), 
% 8.52/8.68  left_branch(0, 0, 0, 10), 
% 8.52/8.68  right_branch(10), 
% 8.52/8.68  right_branch(9), 
% 8.52/8.68  lemmata(0, 2), 
% 8.52/8.68  left_branch(0, 19, 1, 11), 
% 8.52/8.68  left_branch(0, 21, 1, 12), 
% 8.52/8.68  left_branch(0, 25, 0, 13), 
% 8.52/8.68  right_branch(13), 
% 8.52/8.68  right_branch(12), 
% 8.52/8.68  right_branch(11), 
% 8.52/8.68  right_branch(8), 
% 8.52/8.68  right_branch(6), 
% 8.52/8.68  right_branch(2)
% 8.52/8.68  )).
% 8.52/8.68  % SZS output end Proof for theBenchmark
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