TSTP Solution File: SYN561-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN561-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 : Tue Apr 30 20:52:31 EDT 2024

% Result   : Unsatisfiable 0.14s 0.32s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SYN561-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n019.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Mon Apr 29 21:53:14 EDT 2024
% 0.09/0.31  % CPUTime  : 
% 0.14/0.32  % Drodi V3.6.0
% 0.14/0.32  % Refutation found
% 0.14/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.32  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.32  fof(f1,negated_conjecture,(
% 0.14/0.32    (![X0]: (p2(X0,X0) ))),
% 0.14/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f2,negated_conjecture,(
% 0.14/0.32    p9(c14,c10) ),
% 0.14/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f3,negated_conjecture,(
% 0.14/0.32    p8(c11,c14) ),
% 0.14/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f4,negated_conjecture,(
% 0.14/0.32    p2(f7(c10,c14),c15) ),
% 0.14/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f5,negated_conjecture,(
% 0.14/0.32    p2(f6(c15,c11),c16) ),
% 0.14/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f6,negated_conjecture,(
% 0.14/0.32    p2(f3(f4(f5(c12)),c13),c16) ),
% 0.14/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f9,negated_conjecture,(
% 0.14/0.32    (![X1,X2,X0]: (( p2(X1,X2)| ~ p2(X0,X1)| ~ p2(X0,X2) ) ))),
% 0.14/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f15,negated_conjecture,(
% 0.14/0.32    (![X28,X27]: (( ~ p9(X28,c10)| ~ p8(c11,X28)| ~ p2(f7(c10,X28),X27)| ~ p2(f6(X27,c11),f3(f4(f5(c12)),c13)) ) ))),
% 0.14/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32  fof(f16,plain,(
% 0.14/0.32    ![X0]: (p2(X0,X0))),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.32  fof(f17,plain,(
% 0.14/0.32    p9(c14,c10)),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.32  fof(f18,plain,(
% 0.14/0.32    p8(c11,c14)),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.32  fof(f19,plain,(
% 0.14/0.32    p2(f7(c10,c14),c15)),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.32  fof(f20,plain,(
% 0.14/0.32    p2(f6(c15,c11),c16)),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.32  fof(f21,plain,(
% 0.14/0.32    p2(f3(f4(f5(c12)),c13),c16)),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.32  fof(f24,plain,(
% 0.14/0.32    ![X2,X0]: ((![X1]: (p2(X1,X2)|~p2(X0,X1)))|~p2(X0,X2))),
% 0.14/0.32    inference(miniscoping,[status(esa)],[f9])).
% 0.14/0.32  fof(f25,plain,(
% 0.14/0.32    ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f24])).
% 0.14/0.32  fof(f36,plain,(
% 0.14/0.32    ![X27]: ((![X28]: ((~p9(X28,c10)|~p8(c11,X28))|~p2(f7(c10,X28),X27)))|~p2(f6(X27,c11),f3(f4(f5(c12)),c13)))),
% 0.14/0.32    inference(miniscoping,[status(esa)],[f15])).
% 0.14/0.32  fof(f37,plain,(
% 0.14/0.32    ![X0,X1]: (~p9(X0,c10)|~p8(c11,X0)|~p2(f7(c10,X0),X1)|~p2(f6(X1,c11),f3(f4(f5(c12)),c13)))),
% 0.14/0.32    inference(cnf_transformation,[status(esa)],[f36])).
% 0.14/0.32  fof(f38,plain,(
% 0.14/0.32    ![X0,X1,X2]: (~p9(X0,c10)|~p8(c11,X0)|~p2(f7(c10,X0),X1)|~p2(X2,f6(X1,c11))|~p2(X2,f3(f4(f5(c12)),c13)))),
% 0.14/0.32    inference(resolution,[status(thm)],[f37,f25])).
% 0.14/0.32  fof(f39,plain,(
% 0.14/0.32    spl0_0 <=> p9(c14,c10)),
% 0.14/0.32    introduced(split_symbol_definition)).
% 0.14/0.32  fof(f41,plain,(
% 0.14/0.32    ~p9(c14,c10)|spl0_0),
% 0.14/0.32    inference(component_clause,[status(thm)],[f39])).
% 0.14/0.32  fof(f42,plain,(
% 0.14/0.32    spl0_1 <=> ~p2(f7(c10,c14),X0)|~p2(X1,f6(X0,c11))|~p2(X1,f3(f4(f5(c12)),c13))),
% 0.14/0.32    introduced(split_symbol_definition)).
% 0.14/0.32  fof(f43,plain,(
% 0.14/0.32    ![X0,X1]: (~p2(f7(c10,c14),X0)|~p2(X1,f6(X0,c11))|~p2(X1,f3(f4(f5(c12)),c13))|~spl0_1)),
% 0.14/0.32    inference(component_clause,[status(thm)],[f42])).
% 0.14/0.32  fof(f45,plain,(
% 0.14/0.32    ![X0,X1]: (~p9(c14,c10)|~p2(f7(c10,c14),X0)|~p2(X1,f6(X0,c11))|~p2(X1,f3(f4(f5(c12)),c13)))),
% 0.14/0.32    inference(resolution,[status(thm)],[f38,f18])).
% 0.14/0.32  fof(f46,plain,(
% 0.14/0.32    ~spl0_0|spl0_1),
% 0.14/0.32    inference(split_clause,[status(thm)],[f45,f39,f42])).
% 0.14/0.32  fof(f48,plain,(
% 0.14/0.32    $false|spl0_0),
% 0.14/0.32    inference(forward_subsumption_resolution,[status(thm)],[f41,f17])).
% 0.14/0.32  fof(f49,plain,(
% 0.14/0.32    spl0_0),
% 0.14/0.32    inference(contradiction_clause,[status(thm)],[f48])).
% 0.14/0.32  fof(f57,plain,(
% 0.14/0.32    ![X0,X1,X2]: (~p2(f7(c10,c14),X0)|~p2(X1,f6(X0,c11))|~p2(X2,X1)|~p2(X2,f3(f4(f5(c12)),c13))|~spl0_1)),
% 0.14/0.32    inference(resolution,[status(thm)],[f43,f25])).
% 0.14/0.32  fof(f63,plain,(
% 0.14/0.32    ![X0,X1]: (~p2(f7(c10,c14),X0)|~p2(X1,f6(X0,c11))|~p2(f3(f4(f5(c12)),c13),X1)|~spl0_1)),
% 0.14/0.32    inference(resolution,[status(thm)],[f57,f16])).
% 0.14/0.32  fof(f65,plain,(
% 0.14/0.32    ![X0,X1,X2]: (~p2(f7(c10,c14),X0)|~p2(f3(f4(f5(c12)),c13),X1)|~p2(X2,X1)|~p2(X2,f6(X0,c11))|~spl0_1)),
% 0.14/0.32    inference(resolution,[status(thm)],[f63,f25])).
% 0.14/0.32  fof(f70,plain,(
% 0.14/0.32    ![X0,X1]: (~p2(f7(c10,c14),X0)|~p2(f3(f4(f5(c12)),c13),X1)|~p2(f6(X0,c11),X1)|~spl0_1)),
% 0.14/0.32    inference(resolution,[status(thm)],[f65,f16])).
% 0.14/0.32  fof(f71,plain,(
% 0.14/0.32    ![X0]: (~p2(f7(c10,c14),X0)|~p2(f6(X0,c11),c16)|~spl0_1)),
% 0.14/0.32    inference(resolution,[status(thm)],[f70,f21])).
% 0.14/0.32  fof(f75,plain,(
% 0.14/0.32    ~p2(f7(c10,c14),c15)|~spl0_1),
% 0.14/0.32    inference(resolution,[status(thm)],[f71,f20])).
% 0.14/0.32  fof(f76,plain,(
% 0.14/0.32    $false|~spl0_1),
% 0.14/0.32    inference(forward_subsumption_resolution,[status(thm)],[f75,f19])).
% 0.14/0.32  fof(f77,plain,(
% 0.14/0.32    ~spl0_1),
% 0.14/0.32    inference(contradiction_clause,[status(thm)],[f76])).
% 0.14/0.32  fof(f78,plain,(
% 0.14/0.32    $false),
% 0.14/0.32    inference(sat_refutation,[status(thm)],[f46,f49,f77])).
% 0.14/0.32  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.33  % Elapsed time: 0.018277 seconds
% 0.14/0.33  % CPU time: 0.021026 seconds
% 0.14/0.33  % Total memory used: 5.961 MB
% 0.14/0.33  % Net memory used: 5.875 MB
%------------------------------------------------------------------------------