TSTP Solution File: SET821-2 by ConnectPP---0.3.0

View Problem - Process Solution

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% File     : ConnectPP---0.3.0
% Problem  : SET821-2 : 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 : n004.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 14:32:27 EDT 2024

% Result   : Unsatisfiable 1.07s 1.26s
% Output   : Proof 1.07s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34  % Computer : n004.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 : Wed Mar 20 22:09:54 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 1.07/1.26  % SZS status Unsatisfiable for theBenchmark
% 1.07/1.26  % SZS output start Proof for theBenchmark
% 1.07/1.26  
% 1.07/1.26  % Problem matrix:
% 1.07/1.26  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 1.07/1.26  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 1.07/1.26  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 1.07/1.26  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( tc_set(__eqx_0) = tc_set(__eqy_0)) )).
% 1.07/1.26  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_uminus(__eqx_0, __eqx_1) = c_uminus(__eqy_0, __eqy_1)) )).
% 1.07/1.26  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_insert(__eqx_0, __eqx_1, __eqx_2) = c_insert(__eqy_0, __eqy_1, __eqy_2)) )).
% 1.07/1.26  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 1.07/1.26  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_less(__eqx_0, __eqx_1, __eqx_2) | c_less(__eqy_0, __eqy_1, __eqy_2) )).
% 1.07/1.26  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) )).
% 1.07/1.26  cnf(matrix-9, plain, ( ~class_Orderings_Oorder(T_a) | ~c_less(V_x, V_x, T_a) )).
% 1.07/1.26  cnf(matrix-10, plain, ( ~c_in(V_c, V_A, T_a) | ~c_in(V_c, c_uminus(V_A, tc_set(T_a)), T_a) )).
% 1.07/1.26  cnf(matrix-11, plain, ( c_in(V_c, V_A, T_a) | c_in(V_c, c_uminus(V_A, tc_set(T_a)), T_a) )).
% 1.07/1.26  cnf(matrix-12, plain, ( ~c_in(V_a, V_B, T_a) | c_in(V_a, c_insert(V_b, V_B, T_a), T_a) )).
% 1.07/1.26  cnf(matrix-13, plain, ( c_in(V_x, c_insert(V_x, V_B, T_a), T_a) )).
% 1.07/1.26  cnf(matrix-14, plain, ( ~c_in(V_a, c_insert(V_b, V_A, T_a), T_a) | c_in(V_a, V_A, T_a) | ( V_a = V_b) )).
% 1.07/1.26  cnf(matrix-15, plain, ( c_less(v_a, v_b, tc_IntDef_Oint) )).
% 1.07/1.26  cnf(matrix-16, plain, ( c_less(v_b, v_c, tc_IntDef_Oint) )).
% 1.07/1.26  cnf(matrix-17, plain, ( c_in(v_c, V_U, tc_IntDef_Oint) | ~c_in(v_b, V_U, tc_IntDef_Oint) | c_in(v_a, V_U, tc_IntDef_Oint) )).
% 1.07/1.26  cnf(matrix-18, plain, ( class_Orderings_Oorder(tc_IntDef_Oint) )).
% 1.07/1.26  
% 1.07/1.26  % Proof stack:
% 1.07/1.26  cnf(proof-stack, plain, 
% 1.07/1.26  proof_stack(
% 1.07/1.26  start(9), 
% 1.07/1.26  left_branch(0, 18, 0, 2), 
% 1.07/1.26  right_branch(2), 
% 1.07/1.26  left_branch(0, 7, 4, 3), 
% 1.07/1.26  left_branch(0, 14, 2, 4), 
% 1.07/1.26  left_branch(0, 14, 1, 5), 
% 1.07/1.26  left_branch(0, 14, 1, 6), 
% 1.07/1.26  left_branch(0, 14, 1, 7), 
% 1.07/1.26  left_branch(0, 13, 0, 8), 
% 1.07/1.26  right_branch(8), 
% 1.07/1.26  reduction(0, 1), 
% 1.07/1.26  right_branch(7), 
% 1.07/1.26  reduction(0, 1), 
% 1.07/1.26  right_branch(6), 
% 1.07/1.26  reduction(0, 1), 
% 1.07/1.26  right_branch(5), 
% 1.07/1.26  left_branch(0, 17, 1, 6), 
% 1.07/1.26  left_branch(0, 10, 1, 7), 
% 1.07/1.26  left_branch(0, 13, 0, 8), 
% 1.07/1.26  right_branch(8), 
% 1.07/1.26  right_branch(7), 
% 1.07/1.26  left_branch(0, 10, 1, 8), 
% 1.07/1.26  left_branch(0, 12, 1, 9), 
% 1.07/1.26  left_branch(0, 13, 0, 10), 
% 1.07/1.26  right_branch(10), 
% 1.07/1.26  right_branch(9), 
% 1.07/1.26  right_branch(8), 
% 1.07/1.26  right_branch(6), 
% 1.07/1.26  right_branch(4), 
% 1.07/1.26  left_branch(0, 16, 0, 5), 
% 1.07/1.26  right_branch(5), 
% 1.07/1.26  left_branch(0, 14, 2, 6), 
% 1.07/1.26  left_branch(0, 14, 1, 7), 
% 1.07/1.26  left_branch(0, 14, 1, 8), 
% 1.07/1.26  left_branch(0, 14, 1, 9), 
% 1.07/1.26  left_branch(0, 13, 0, 10), 
% 1.07/1.26  right_branch(10), 
% 1.07/1.26  reduction(0, 1), 
% 1.07/1.26  right_branch(9), 
% 1.07/1.26  reduction(0, 1), 
% 1.07/1.26  right_branch(8), 
% 1.07/1.26  reduction(0, 1), 
% 1.07/1.26  right_branch(7), 
% 1.07/1.26  left_branch(0, 14, 0, 8), 
% 1.07/1.26  reduction(0, 1), 
% 1.07/1.26  left_branch(0, 14, 0, 10), 
% 1.07/1.26  reduction(0, 1), 
% 1.07/1.26  left_branch(0, 10, 1, 12), 
% 1.07/1.26  left_branch(0, 13, 0, 13), 
% 1.07/1.26  right_branch(13), 
% 1.07/1.26  right_branch(12), 
% 1.07/1.26  right_branch(10), 
% 1.07/1.26  right_branch(8), 
% 1.07/1.26  right_branch(6), 
% 1.07/1.26  left_branch(0, 14, 2, 7), 
% 1.07/1.26  left_branch(0, 17, 0, 8), 
% 1.07/1.26  left_branch(0, 14, 0, 9), 
% 1.07/1.26  left_branch(0, 7, 0, 10), 
% 1.07/1.26  reduction(0, 0), 
% 1.07/1.26  left_branch(0, 15, 0, 12), 
% 1.07/1.26  right_branch(12), 
% 1.07/1.26  lemmata(0, 3), 
% 1.07/1.26  lemmata(0, 1), 
% 1.07/1.26  right_branch(10), 
% 1.07/1.26  left_branch(0, 10, 1, 11), 
% 1.07/1.26  left_branch(0, 13, 0, 12), 
% 1.07/1.26  right_branch(12), 
% 1.07/1.26  right_branch(11), 
% 1.07/1.26  right_branch(9), 
% 1.07/1.26  left_branch(0, 14, 1, 10), 
% 1.07/1.26  left_branch(0, 13, 0, 11), 
% 1.07/1.26  right_branch(11), 
% 1.07/1.26  left_branch(0, 8, 0, 12), 
% 1.07/1.26  reduction(0, 3), 
% 1.07/1.26  left_branch(0, 13, 0, 14), 
% 1.07/1.26  right_branch(14), 
% 1.07/1.26  left_branch(0, 0, 0, 15), 
% 1.07/1.26  right_branch(15), 
% 1.07/1.26  left_branch(0, 0, 0, 16), 
% 1.07/1.26  right_branch(16), 
% 1.07/1.26  right_branch(12), 
% 1.07/1.26  right_branch(10), 
% 1.07/1.26  right_branch(8), 
% 1.07/1.26  left_branch(0, 10, 1, 9), 
% 1.07/1.26  left_branch(0, 12, 1, 10), 
% 1.07/1.26  left_branch(0, 13, 0, 11), 
% 1.07/1.26  right_branch(11), 
% 1.07/1.26  right_branch(10), 
% 1.07/1.26  right_branch(9), 
% 1.07/1.26  right_branch(7), 
% 1.07/1.26  right_branch(3)
% 1.07/1.26  )).
% 1.07/1.26  % SZS output end Proof for theBenchmark
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