TSTP Solution File: SET825-2 by ConnectPP---0.3.0
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% File : ConnectPP---0.3.0
% Problem : SET825-2 : 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 : n032.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 : Mon Mar 25 14:32:28 EDT 2024
% Result : Unsatisfiable 26.65s 26.88s
% Output : Proof 26.65s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET825-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Wed Mar 20 21:44:10 EDT 2024
% 0.10/0.29 % CPUTime :
% 26.65/26.88 % SZS status Unsatisfiable for theBenchmark
% 26.65/26.88 % SZS output start Proof for theBenchmark
% 26.65/26.88
% 26.65/26.88 % Problem matrix:
% 26.65/26.88 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 26.65/26.88 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 26.65/26.88 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 26.65/26.88 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Pair(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Pair(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 26.65/26.88 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 26.65/26.88 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( v_x(__eqx_0) = v_x(__eqy_0)) )).
% 26.65/26.88 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( v_xa(__eqx_0) = v_xa(__eqy_0)) )).
% 26.65/26.88 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Suc(__eqx_0) = c_Suc(__eqy_0)) )).
% 26.65/26.88 cnf(matrix-8, 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) )).
% 26.65/26.88 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~v_Q(__eqx_0) | v_Q(__eqy_0) )).
% 26.65/26.88 cnf(matrix-10, plain, ( c_in(c_Pair(V_a, V_a, T_a, T_a), c_Relation_OId, tc_prod(T_a, T_a)) )).
% 26.65/26.88 cnf(matrix-11, plain, ( ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Relation_OId, tc_prod(T_a, T_a)) | ( V_a = V_b) )).
% 26.65/26.88 cnf(matrix-12, plain, ( v_Q(v_n) )).
% 26.65/26.88 cnf(matrix-13, plain, ( ~v_Q(v_m) )).
% 26.65/26.88 cnf(matrix-14, plain, ( c_in(c_Pair(v_n, v_m, tc_nat, tc_nat), V_U, tc_prod(tc_nat, tc_nat)) | c_in(c_Pair(v_x(V_U), v_xa(V_U), tc_nat, tc_nat), V_U, tc_prod(tc_nat, tc_nat)) | ~c_in(c_Pair(c_0, c_0, tc_nat, tc_nat), V_U, tc_prod(tc_nat, tc_nat)) )).
% 26.65/26.88 cnf(matrix-15, plain, ( c_in(c_Pair(v_n, v_m, tc_nat, tc_nat), V_U, tc_prod(tc_nat, tc_nat)) | ~c_in(c_Pair(c_Suc(v_x(V_U)), c_Suc(v_xa(V_U)), tc_nat, tc_nat), V_U, tc_prod(tc_nat, tc_nat)) | ~c_in(c_Pair(c_0, c_0, tc_nat, tc_nat), V_U, tc_prod(tc_nat, tc_nat)) )).
% 26.65/26.88
% 26.65/26.88 % Proof stack:
% 26.65/26.88 cnf(proof-stack, plain,
% 26.65/26.88 proof_stack(
% 26.65/26.88 start(14),
% 26.65/26.88 left_branch(0, 11, 0, 2),
% 26.65/26.88 left_branch(0, 9, 0, 3),
% 26.65/26.88 left_branch(0, 13, 0, 4),
% 26.65/26.88 right_branch(4),
% 26.65/26.88 left_branch(0, 12, 0, 5),
% 26.65/26.88 right_branch(5),
% 26.65/26.88 right_branch(3),
% 26.65/26.88 right_branch(2),
% 26.65/26.88 left_branch(0, 10, 0, 3),
% 26.65/26.88 right_branch(3),
% 26.65/26.88 left_branch(0, 11, 0, 4),
% 26.65/26.88 left_branch(0, 7, 0, 5),
% 26.65/26.88 left_branch(0, 3, 0, 6),
% 26.65/26.88 left_branch(0, 1, 0, 7),
% 26.65/26.88 left_branch(0, 8, 0, 8),
% 26.65/26.88 left_branch(0, 15, 1, 9),
% 26.65/26.88 lemmata(0, 0),
% 26.65/26.88 lemmata(0, 1),
% 26.65/26.88 right_branch(9),
% 26.65/26.88 left_branch(0, 10, 0, 10),
% 26.65/26.88 right_branch(10),
% 26.65/26.88 left_branch(0, 11, 1, 11),
% 26.65/26.88 left_branch(0, 10, 0, 12),
% 26.65/26.88 right_branch(12),
% 26.65/26.88 right_branch(11),
% 26.65/26.88 left_branch(0, 11, 1, 12),
% 26.65/26.88 left_branch(0, 10, 0, 13),
% 26.65/26.88 right_branch(13),
% 26.65/26.88 right_branch(12),
% 26.65/26.88 right_branch(8),
% 26.65/26.88 right_branch(7),
% 26.65/26.88 left_branch(0, 11, 1, 8),
% 26.65/26.88 left_branch(0, 10, 0, 9),
% 26.65/26.88 right_branch(9),
% 26.65/26.88 right_branch(8),
% 26.65/26.88 lemmata(0, 3),
% 26.65/26.88 left_branch(0, 11, 1, 10),
% 26.65/26.88 left_branch(0, 10, 0, 11),
% 26.65/26.88 right_branch(11),
% 26.65/26.88 right_branch(10),
% 26.65/26.88 right_branch(6),
% 26.65/26.88 right_branch(5),
% 26.65/26.88 right_branch(4)
% 26.65/26.88 )).
% 26.65/26.88 % SZS output end Proof for theBenchmark
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