TSTP Solution File: SET864-2 by ConnectPP---0.2.2
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% File : ConnectPP---0.2.2
% Problem : SET864-2 : 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 09:19:55 EST 2024
% Result : Unsatisfiable 0.18s 0.34s
% 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
% 0.12/0.12 % Problem : SET864-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Mar 3 19:59:17 EST 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.34 % SZS output start Proof for theBenchmark
% 0.18/0.34
% 0.18/0.34 % Problem matrix:
% 0.18/0.34 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.18/0.34 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.18/0.34 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.18/0.34 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( tc_set(__eqx_0) = tc_set(__eqy_0)) )).
% 0.18/0.34 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Zorn_Omaxchain(__eqx_0, __eqx_1) = c_Zorn_Omaxchain(__eqy_0, __eqy_1)) )).
% 0.18/0.34 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Union(__eqx_0, __eqx_1) = c_Union(__eqy_0, __eqy_1)) )).
% 0.18/0.34 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( v_x(__eqx_0) = v_x(__eqy_0)) )).
% 0.18/0.34 cnf(matrix-7, 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) )).
% 0.18/0.34 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) )).
% 0.18/0.34 cnf(matrix-9, plain, ( ~c_in(V_u, V_S, tc_set(T_a)) | ~c_in(V_c, c_Zorn_Omaxchain(V_S, T_a), tc_set(tc_set(T_a))) | ~c_lessequals(c_Union(V_c, T_a), V_u, tc_set(T_a)) | ( c_Union(V_c, T_a) = V_u) )).
% 0.18/0.34 cnf(matrix-10, plain, ( c_in(v_c, c_Zorn_Omaxchain(v_S, t_a), tc_set(tc_set(t_a))) )).
% 0.18/0.34 cnf(matrix-11, plain, ( c_in(c_Union(v_c, t_a), v_S, tc_set(t_a)) )).
% 0.18/0.34 cnf(matrix-12, plain, ( c_in(v_x(V_U), v_S, tc_set(t_a)) | ~c_in(V_U, v_S, tc_set(t_a)) )).
% 0.18/0.34 cnf(matrix-13, plain, ( c_lessequals(V_U, v_x(V_U), tc_set(t_a)) | ~c_in(V_U, v_S, tc_set(t_a)) )).
% 0.18/0.34 cnf(matrix-14, plain, ( ( V_U != v_x(V_U)) | ~c_in(V_U, v_S, tc_set(t_a)) )).
% 0.18/0.34
% 0.18/0.34 % Proof stack:
% 0.18/0.34 cnf(proof-stack, plain,
% 0.18/0.34 proof_stack(
% 0.18/0.34 start(14),
% 0.18/0.34 left_branch(0, 9, 3, 2),
% 0.18/0.34 left_branch(0, 12, 0, 3),
% 0.18/0.34 left_branch(0, 11, 0, 4),
% 0.18/0.34 right_branch(4),
% 0.18/0.34 right_branch(3),
% 0.18/0.34 left_branch(0, 13, 0, 4),
% 0.18/0.34 left_branch(0, 11, 0, 5),
% 0.18/0.34 right_branch(5),
% 0.18/0.34 right_branch(4),
% 0.18/0.34 left_branch(0, 10, 0, 5),
% 0.18/0.34 right_branch(5),
% 0.18/0.34 right_branch(2),
% 0.18/0.34 left_branch(0, 11, 0, 3),
% 0.18/0.34 right_branch(3)
% 0.18/0.34 )).
% 0.18/0.34 % SZS output end Proof for theBenchmark
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