TSTP Solution File: COL121-2 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : COL121-2 : 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 : Mon Mar 25 14:01:45 EDT 2024

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n005.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Mar 21 00:20:15 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39  % SZS output start Proof for theBenchmark
% 0.13/0.39  
% 0.13/0.39  % Problem matrix:
% 0.13/0.39  cnf(matrix-0, plain, ( ~c_Comb_Odiamond(V_r, T_a) | ~c_in(c_Pair(V_x, V_y_H, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | c_in(c_Pair(V_y_H, c_Comb_Odiamond__strip__lemmaE__1(V_r, V_y, V_y_H, T_a), T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 0.13/0.39  cnf(matrix-1, plain, ( ~c_Comb_Odiamond(V_r, T_a) | ~c_in(c_Pair(V_x, V_y_H, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | c_in(c_Pair(V_y, c_Comb_Odiamond__strip__lemmaE__1(V_r, V_y, V_y_H, T_a), T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 0.13/0.39  cnf(matrix-2, plain, ( ~c_in(V_p, V_r, tc_prod(T_a, T_a)) | c_in(V_p, c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 0.13/0.39  cnf(matrix-3, plain, ( ~c_in(c_Pair(V_b, V_c, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | c_in(c_Pair(V_a, V_c, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 0.13/0.39  cnf(matrix-4, plain, ( c_Comb_Odiamond(v_r, t_a) )).
% 0.13/0.39  cnf(matrix-5, plain, ( c_in(c_Pair(v_ya, v_z, t_a, t_a), v_r, tc_prod(t_a, t_a)) )).
% 0.13/0.39  cnf(matrix-6, plain, ( c_in(c_Pair(v_y, v_xaa, t_a, t_a), c_Transitive__Closure_Ortrancl(v_r, t_a), tc_prod(t_a, t_a)) )).
% 0.13/0.39  cnf(matrix-7, plain, ( c_in(c_Pair(v_ya, v_x(V_U), t_a, t_a), c_Transitive__Closure_Ortrancl(v_r, t_a), tc_prod(t_a, t_a)) | ~c_in(c_Pair(v_y, V_U, t_a, t_a), c_Transitive__Closure_Ortrancl(v_r, t_a), tc_prod(t_a, t_a)) )).
% 0.13/0.39  cnf(matrix-8, plain, ( c_in(c_Pair(V_U, v_x(V_U), t_a, t_a), c_Transitive__Closure_Ortrancl(v_r, t_a), tc_prod(t_a, t_a)) | ~c_in(c_Pair(v_y, V_U, t_a, t_a), c_Transitive__Closure_Ortrancl(v_r, t_a), tc_prod(t_a, t_a)) )).
% 0.13/0.39  cnf(matrix-9, plain, ( ~c_in(c_Pair(v_xaa, V_U, t_a, t_a), c_Transitive__Closure_Ortrancl(v_r, t_a), tc_prod(t_a, t_a)) | ~c_in(c_Pair(v_z, V_U, t_a, t_a), c_Transitive__Closure_Ortrancl(v_r, t_a), tc_prod(t_a, t_a)) )).
% 0.13/0.39  
% 0.13/0.39  % Proof stack:
% 0.13/0.39  cnf(proof-stack, plain, 
% 0.13/0.39  proof_stack(
% 0.13/0.39  start(9), 
% 0.13/0.39  left_branch(0, 3, 2, 2), 
% 0.13/0.39  left_branch(0, 2, 1, 3), 
% 0.13/0.39  left_branch(0, 1, 3, 4), 
% 0.13/0.39  left_branch(0, 4, 0, 5), 
% 0.13/0.39  right_branch(5), 
% 0.13/0.39  left_branch(0, 7, 0, 6), 
% 0.13/0.39  left_branch(0, 6, 0, 7), 
% 0.13/0.39  right_branch(7), 
% 0.13/0.39  right_branch(6), 
% 0.13/0.39  left_branch(0, 5, 0, 7), 
% 0.13/0.39  right_branch(7), 
% 0.13/0.39  right_branch(4), 
% 0.13/0.39  right_branch(3), 
% 0.13/0.39  left_branch(0, 8, 0, 4), 
% 0.13/0.39  left_branch(0, 6, 0, 5), 
% 0.13/0.39  right_branch(5), 
% 0.13/0.39  right_branch(4), 
% 0.13/0.39  right_branch(2), 
% 0.13/0.39  left_branch(0, 0, 3, 3), 
% 0.13/0.39  left_branch(0, 4, 0, 4), 
% 0.13/0.39  right_branch(4), 
% 0.13/0.39  left_branch(0, 7, 0, 5), 
% 0.13/0.39  left_branch(0, 6, 0, 6), 
% 0.13/0.39  right_branch(6), 
% 0.13/0.39  right_branch(5), 
% 0.13/0.39  left_branch(0, 5, 0, 6), 
% 0.13/0.39  right_branch(6), 
% 0.13/0.39  right_branch(3)
% 0.13/0.39  )).
% 0.13/0.39  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------