TSTP Solution File: SET840-2 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SET840-2 : 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 : n011.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 14:32:35 EDT 2024

% Result   : Unsatisfiable 13.81s 14.02s
% Output   : Proof 13.81s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET840-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n011.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 : Wed Mar 20 21:39:57 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 13.81/14.02  % SZS status Unsatisfiable for theBenchmark
% 13.81/14.02  % SZS output start Proof for theBenchmark
% 13.81/14.02  
% 13.81/14.02  % Problem matrix:
% 13.81/14.02  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 13.81/14.02  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 13.81/14.02  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 13.81/14.02  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( tc_set(__eqx_0) = tc_set(__eqy_0)) )).
% 13.81/14.02  cnf(matrix-4, 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)) )).
% 13.81/14.02  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Union(__eqx_0, __eqx_1) = c_Union(__eqy_0, __eqy_1)) )).
% 13.81/14.02  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Main_OsubsetI__1(__eqx_0, __eqx_1, __eqx_2) = c_Main_OsubsetI__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.81/14.02  cnf(matrix-7, 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) )).
% 13.81/14.02  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) )).
% 13.81/14.02  cnf(matrix-9, plain, ( ~c_lessequals(v_S, c_insert(V_U, c_emptyset, tc_set(t_b)), tc_set(tc_set(t_b))) )).
% 13.81/14.02  cnf(matrix-10, plain, ( c_lessequals(c_Union(v_S, t_b), V_U, tc_set(t_b)) | ~c_in(V_U, v_S, tc_set(t_b)) )).
% 13.81/14.02  cnf(matrix-11, plain, ( ~c_in(V_A, V_X, T_a) | ~c_in(V_X, V_C, tc_set(T_a)) | c_in(V_A, c_Union(V_C, T_a), T_a) )).
% 13.81/14.02  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) )).
% 13.81/14.02  cnf(matrix-13, plain, ( c_in(V_x, c_insert(V_x, V_B, T_a), T_a) )).
% 13.81/14.02  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) )).
% 13.81/14.02  cnf(matrix-15, plain, ( c_in(c_Main_OsubsetI__1(V_A, V_B, T_a), V_A, T_a) | c_lessequals(V_A, V_B, tc_set(T_a)) )).
% 13.81/14.02  cnf(matrix-16, plain, ( ~c_in(c_Main_OsubsetI__1(V_A, V_B, T_a), V_B, T_a) | c_lessequals(V_A, V_B, tc_set(T_a)) )).
% 13.81/14.02  cnf(matrix-17, plain, ( ~c_lessequals(V_B, V_A, tc_set(T_a)) | ~c_lessequals(V_A, V_B, tc_set(T_a)) | ( V_A = V_B) )).
% 13.81/14.02  
% 13.81/14.02  % Proof stack:
% 13.81/14.02  cnf(proof-stack, plain, 
% 13.81/14.02  proof_stack(
% 13.81/14.02  start(10), 
% 13.81/14.02  left_branch(0, 17, 0, 2), 
% 13.81/14.02  left_branch(0, 1, 0, 3), 
% 13.81/14.02  left_branch(0, 8, 0, 4), 
% 13.81/14.02  left_branch(0, 16, 0, 5), 
% 13.81/14.02  left_branch(0, 9, 0, 6), 
% 13.81/14.02  right_branch(6), 
% 13.81/14.02  right_branch(5), 
% 13.81/14.02  left_branch(0, 13, 0, 6), 
% 13.81/14.02  right_branch(6), 
% 13.81/14.02  left_branch(0, 3, 1, 7), 
% 13.81/14.02  left_branch(0, 0, 0, 8), 
% 13.81/14.02  right_branch(8), 
% 13.81/14.02  right_branch(7), 
% 13.81/14.02  left_branch(0, 4, 3, 8), 
% 13.81/14.02  left_branch(0, 0, 0, 9), 
% 13.81/14.02  right_branch(9), 
% 13.81/14.02  lemmata(0, 2), 
% 13.81/14.02  left_branch(0, 0, 0, 11), 
% 13.81/14.02  right_branch(11), 
% 13.81/14.02  right_branch(8), 
% 13.81/14.02  right_branch(4), 
% 13.81/14.02  right_branch(3), 
% 13.81/14.02  left_branch(0, 16, 1, 4), 
% 13.81/14.02  left_branch(0, 11, 2, 5), 
% 13.81/14.02  left_branch(0, 15, 0, 6), 
% 13.81/14.02  reduction(0, 1), 
% 13.81/14.02  right_branch(6), 
% 13.81/14.02  left_branch(0, 15, 0, 7), 
% 13.81/14.02  left_branch(0, 9, 0, 8), 
% 13.81/14.02  right_branch(8), 
% 13.81/14.02  right_branch(7), 
% 13.81/14.02  right_branch(5), 
% 13.81/14.02  right_branch(4), 
% 13.81/14.02  right_branch(2), 
% 13.81/14.02  left_branch(0, 15, 0, 3), 
% 13.81/14.02  left_branch(0, 9, 0, 4), 
% 13.81/14.02  right_branch(4), 
% 13.81/14.02  right_branch(3)
% 13.81/14.02  )).
% 13.81/14.02  % SZS output end Proof for theBenchmark
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