TSTP Solution File: ANA015-2 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : ANA015-2 : 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 : n007.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 08:52:09 EST 2024
% Result : Unsatisfiable 2.44s 2.65s
% Output : Proof 2.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA015-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n007.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 17:33:31 EST 2024
% 0.13/0.34 % CPUTime :
% 2.44/2.65 % SZS status Unsatisfiable for theBenchmark
% 2.44/2.65 % SZS output start Proof for theBenchmark
% 2.44/2.65
% 2.44/2.65 % Problem matrix:
% 2.44/2.65 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 2.44/2.65 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 2.44/2.65 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 2.44/2.65 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_Oabs(__eqx_0, __eqx_1) = c_HOL_Oabs(__eqy_0, __eqy_1)) )).
% 2.44/2.65 cnf(matrix-4, 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)) )).
% 2.44/2.65 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( v_g(__eqx_0) = v_g(__eqy_0)) )).
% 2.44/2.65 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( v_f(__eqx_0) = v_f(__eqy_0)) )).
% 2.44/2.65 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_Oinverse(__eqx_0, __eqx_1) = c_HOL_Oinverse(__eqy_0, __eqy_1)) )).
% 2.44/2.65 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( v_x(__eqx_0) = v_x(__eqy_0)) )).
% 2.44/2.65 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Olordered__ab__group__abs(__eqx_0) | class_OrderedGroup_Olordered__ab__group__abs(__eqy_0) )).
% 2.44/2.65 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) )).
% 2.44/2.65 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Osemigroup__mult(__eqx_0) | class_OrderedGroup_Osemigroup__mult(__eqy_0) )).
% 2.44/2.65 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__idom(__eqx_0) | class_Ring__and__Field_Oordered__idom(__eqy_0) )).
% 2.44/2.65 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Opordered__semiring(__eqx_0) | class_Ring__and__Field_Opordered__semiring(__eqy_0) )).
% 2.44/2.65 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Ofield(__eqx_0) | class_Ring__and__Field_Ofield(__eqy_0) )).
% 2.44/2.65 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__field(__eqx_0) | class_Ring__and__Field_Oordered__field(__eqy_0) )).
% 2.44/2.65 cnf(matrix-16, plain, ( ~class_OrderedGroup_Olordered__ab__group__abs(T_a) | c_lessequals(c_0, c_HOL_Oabs(V_a, T_a), T_a) )).
% 2.44/2.65 cnf(matrix-17, 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)) )).
% 2.44/2.65 cnf(matrix-18, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | ( c_HOL_Oabs(c_times(V_a, V_b, T_a), T_a) = c_times(c_HOL_Oabs(V_a, T_a), c_HOL_Oabs(V_b, T_a), T_a)) )).
% 2.44/2.65 cnf(matrix-19, 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) )).
% 2.44/2.65 cnf(matrix-20, plain, ( c_lessequals(c_HOL_Oabs(v_g(V_U), t_a), c_times(v_d, c_HOL_Oabs(v_f(V_U), t_a), t_a), t_a) )).
% 2.44/2.65 cnf(matrix-21, plain, ( ~c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c, t_a), v_g(v_x(V_U)), t_a), t_a), c_times(V_U, c_HOL_Oabs(v_f(v_x(V_U)), t_a), t_a), t_a) )).
% 2.44/2.65 cnf(matrix-22, plain, ( ~class_Ring__and__Field_Ofield(T) | class_OrderedGroup_Osemigroup__mult(T) )).
% 2.44/2.65 cnf(matrix-23, plain, ( ~class_Ring__and__Field_Oordered__field(T) | class_Ring__and__Field_Ofield(T) )).
% 2.44/2.65 cnf(matrix-24, plain, ( ~class_Ring__and__Field_Oordered__field(T) | class_Ring__and__Field_Oordered__idom(T) )).
% 2.44/2.65 cnf(matrix-25, plain, ( ~class_Ring__and__Field_Oordered__field(T) | class_Ring__and__Field_Opordered__semiring(T) )).
% 2.44/2.65 cnf(matrix-26, plain, ( ~class_Ring__and__Field_Oordered__field(T) | class_OrderedGroup_Olordered__ab__group__abs(T) )).
% 2.44/2.65 cnf(matrix-27, plain, ( class_Ring__and__Field_Oordered__field(t_a) )).
% 2.44/2.65
% 2.44/2.65 % Proof stack:
% 2.44/2.65 cnf(proof-stack, plain,
% 2.44/2.65 proof_stack(
% 2.44/2.65 start(21),
% 2.44/2.65 left_branch(0, 10, 4, 2),
% 2.44/2.65 left_branch(0, 3, 2, 3),
% 2.44/2.65 left_branch(0, 4, 3, 4),
% 2.44/2.65 left_branch(0, 7, 2, 5),
% 2.44/2.65 left_branch(0, 1, 1, 6),
% 2.44/2.65 left_branch(0, 0, 0, 7),
% 2.44/2.65 right_branch(7),
% 2.44/2.65 right_branch(6),
% 2.44/2.65 left_branch(0, 1, 1, 7),
% 2.44/2.65 left_branch(0, 0, 0, 8),
% 2.44/2.65 right_branch(8),
% 2.44/2.65 right_branch(7),
% 2.44/2.65 right_branch(5),
% 2.44/2.65 left_branch(0, 1, 1, 6),
% 2.44/2.65 left_branch(0, 0, 0, 7),
% 2.44/2.65 right_branch(7),
% 2.44/2.65 right_branch(6),
% 2.44/2.65 left_branch(0, 5, 1, 7),
% 2.44/2.65 left_branch(0, 8, 1, 8),
% 2.44/2.65 left_branch(0, 0, 0, 9),
% 2.44/2.65 right_branch(9),
% 2.44/2.65 right_branch(8),
% 2.44/2.65 right_branch(7),
% 2.44/2.65 right_branch(4),
% 2.44/2.65 left_branch(0, 1, 1, 5),
% 2.44/2.65 left_branch(0, 0, 0, 6),
% 2.44/2.65 right_branch(6),
% 2.44/2.65 right_branch(5),
% 2.44/2.65 right_branch(3),
% 2.44/2.65 left_branch(0, 10, 4, 4),
% 2.44/2.65 left_branch(0, 1, 1, 5),
% 2.44/2.65 left_branch(0, 18, 1, 6),
% 2.44/2.65 left_branch(0, 24, 1, 7),
% 2.44/2.65 left_branch(0, 27, 0, 8),
% 2.44/2.65 right_branch(8),
% 2.44/2.65 right_branch(7),
% 2.44/2.65 right_branch(6),
% 2.44/2.65 right_branch(5),
% 2.44/2.65 left_branch(0, 19, 3, 6),
% 2.44/2.65 left_branch(0, 25, 1, 7),
% 2.44/2.65 left_branch(0, 27, 0, 8),
% 2.44/2.65 right_branch(8),
% 2.44/2.65 right_branch(7),
% 2.44/2.65 left_branch(0, 16, 1, 8),
% 2.44/2.65 left_branch(0, 26, 1, 9),
% 2.44/2.65 left_branch(0, 27, 0, 10),
% 2.44/2.65 right_branch(10),
% 2.44/2.65 right_branch(9),
% 2.44/2.65 right_branch(8),
% 2.44/2.65 left_branch(0, 20, 0, 9),
% 2.44/2.65 right_branch(9),
% 2.44/2.65 right_branch(6),
% 2.44/2.65 left_branch(0, 1, 1, 7),
% 2.44/2.65 left_branch(0, 0, 0, 8),
% 2.44/2.65 right_branch(8),
% 2.44/2.65 right_branch(7),
% 2.44/2.65 left_branch(0, 4, 3, 8),
% 2.44/2.65 left_branch(0, 3, 2, 9),
% 2.44/2.65 left_branch(0, 7, 2, 10),
% 2.44/2.65 left_branch(0, 0, 0, 11),
% 2.44/2.65 right_branch(11),
% 2.44/2.65 left_branch(0, 0, 0, 12),
% 2.44/2.65 right_branch(12),
% 2.44/2.65 right_branch(10),
% 2.44/2.65 left_branch(0, 1, 1, 11),
% 2.44/2.65 left_branch(0, 0, 0, 12),
% 2.44/2.65 right_branch(12),
% 2.44/2.65 right_branch(11),
% 2.44/2.65 right_branch(9),
% 2.44/2.65 left_branch(0, 1, 1, 10),
% 2.44/2.65 left_branch(0, 0, 0, 11),
% 2.44/2.65 right_branch(11),
% 2.44/2.65 right_branch(10),
% 2.44/2.65 left_branch(0, 4, 3, 11),
% 2.44/2.65 left_branch(0, 1, 1, 12),
% 2.44/2.65 left_branch(0, 0, 0, 13),
% 2.44/2.65 right_branch(13),
% 2.44/2.65 right_branch(12),
% 2.44/2.65 left_branch(0, 1, 1, 13),
% 2.44/2.65 left_branch(0, 0, 0, 14),
% 2.44/2.65 right_branch(14),
% 2.44/2.65 right_branch(13),
% 2.44/2.65 left_branch(0, 3, 2, 14),
% 2.44/2.65 left_branch(0, 0, 0, 15),
% 2.44/2.65 right_branch(15),
% 2.44/2.65 left_branch(0, 0, 0, 16),
% 2.44/2.65 right_branch(16),
% 2.44/2.65 right_branch(14),
% 2.44/2.65 right_branch(11),
% 2.44/2.65 right_branch(8),
% 2.44/2.65 right_branch(4),
% 2.44/2.65 left_branch(0, 0, 0, 5),
% 2.44/2.65 right_branch(5),
% 2.44/2.65 left_branch(0, 1, 1, 6),
% 2.44/2.65 left_branch(0, 17, 1, 7),
% 2.44/2.65 left_branch(0, 22, 1, 8),
% 2.44/2.65 left_branch(0, 23, 1, 9),
% 2.44/2.65 left_branch(0, 27, 0, 10),
% 2.44/2.65 right_branch(10),
% 2.44/2.65 right_branch(9),
% 2.44/2.65 right_branch(8),
% 2.44/2.65 right_branch(7),
% 2.44/2.65 right_branch(6),
% 2.44/2.65 right_branch(2)
% 2.44/2.65 )).
% 2.44/2.65 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------