TSTP Solution File: SYN620-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN620-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:52:40 EDT 2024

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16  % Problem  : SYN620-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.17  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.41  % Computer : n014.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8042.1875MB
% 0.14/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Mon Apr 29 21:53:49 EDT 2024
% 0.14/0.41  % CPUTime  : 
% 0.21/0.42  % Drodi V3.6.0
% 0.21/0.43  % Refutation found
% 0.21/0.43  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.43  % SZS output start CNFRefutation for theBenchmark
% 0.21/0.43  fof(f1,negated_conjecture,(
% 0.21/0.43    (![X0]: (p10(X0,X0) ))),
% 0.21/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f5,negated_conjecture,(
% 0.21/0.43    (![X20]: (p11(X20,X20) ))),
% 0.21/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f18,negated_conjecture,(
% 0.21/0.43    (![X23,X24]: (( p11(f12(X23),f12(X24))| ~ p10(X23,X24) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f19,negated_conjecture,(
% 0.21/0.43    (![X1,X2,X0]: (( p10(X1,X2)| ~ p10(X0,X1)| ~ p10(X0,X2) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f24,negated_conjecture,(
% 0.21/0.43    (![X9]: (p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))) ))),
% 0.21/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f28,negated_conjecture,(
% 0.21/0.43    (![X36,X37,X39,X38]: (( p20(X36,X37)| ~ p11(X39,X37)| ~ p20(X38,X39)| ~ p11(X38,X36) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f32,negated_conjecture,(
% 0.21/0.43    (![X40]: (p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X40))) ))),
% 0.21/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f33,negated_conjecture,(
% 0.21/0.43    ~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))) ),
% 0.21/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f35,plain,(
% 0.21/0.43    ![X0]: (p10(X0,X0))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f1])).
% 0.21/0.43  fof(f39,plain,(
% 0.21/0.43    ![X0]: (p11(X0,X0))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f5])).
% 0.21/0.43  fof(f52,plain,(
% 0.21/0.43    ![X0,X1]: (p11(f12(X0),f12(X1))|~p10(X0,X1))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f18])).
% 0.21/0.43  fof(f53,plain,(
% 0.21/0.43    ![X2,X0]: ((![X1]: (p10(X1,X2)|~p10(X0,X1)))|~p10(X0,X2))),
% 0.21/0.43    inference(miniscoping,[status(esa)],[f19])).
% 0.21/0.43  fof(f54,plain,(
% 0.21/0.43    ![X0,X1,X2]: (p10(X0,X1)|~p10(X2,X0)|~p10(X2,X1))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f53])).
% 0.21/0.43  fof(f63,plain,(
% 0.21/0.43    ![X0]: (p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f24])).
% 0.21/0.43  fof(f69,plain,(
% 0.21/0.43    ![X36,X38]: ((![X39]: ((![X37]: (p20(X36,X37)|~p11(X39,X37)))|~p20(X38,X39)))|~p11(X38,X36))),
% 0.21/0.43    inference(miniscoping,[status(esa)],[f28])).
% 0.21/0.43  fof(f70,plain,(
% 0.21/0.43    ![X0,X1,X2,X3]: (p20(X0,X1)|~p11(X2,X1)|~p20(X3,X2)|~p11(X3,X0))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f69])).
% 0.21/0.43  fof(f77,plain,(
% 0.21/0.43    ![X0]: (p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0))))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f32])).
% 0.21/0.43  fof(f78,plain,(
% 0.21/0.43    ~p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27)))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f33])).
% 0.21/0.43  fof(f81,plain,(
% 0.21/0.43    ![X0,X1,X2]: (p20(X0,X1)|~p11(f12(f13(f6(c24),X2)),X1)|~p11(f12(f13(f6(c22),f14(f15(f7(c25))))),X0))),
% 0.21/0.43    inference(resolution,[status(thm)],[f77,f70])).
% 0.21/0.43  fof(f85,plain,(
% 0.21/0.43    spl0_0 <=> ~p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27)))),
% 0.21/0.43    introduced(split_symbol_definition)).
% 0.21/0.43  fof(f86,plain,(
% 0.21/0.43    ![X0]: (~p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27)))|~spl0_0)),
% 0.21/0.43    inference(component_clause,[status(thm)],[f85])).
% 0.21/0.43  fof(f88,plain,(
% 0.21/0.43    spl0_1 <=> p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))),
% 0.21/0.43    introduced(split_symbol_definition)).
% 0.21/0.43  fof(f90,plain,(
% 0.21/0.43    ~p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))|spl0_1),
% 0.21/0.43    inference(component_clause,[status(thm)],[f88])).
% 0.21/0.43  fof(f91,plain,(
% 0.21/0.43    ![X0]: (~p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27)))|~p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))))),
% 0.21/0.43    inference(resolution,[status(thm)],[f81,f78])).
% 0.21/0.43  fof(f92,plain,(
% 0.21/0.43    spl0_0|~spl0_1),
% 0.21/0.43    inference(split_clause,[status(thm)],[f91,f85,f88])).
% 0.21/0.43  fof(f94,plain,(
% 0.21/0.43    $false|spl0_1),
% 0.21/0.43    inference(forward_subsumption_resolution,[status(thm)],[f90,f39])).
% 0.21/0.43  fof(f95,plain,(
% 0.21/0.43    spl0_1),
% 0.21/0.43    inference(contradiction_clause,[status(thm)],[f94])).
% 0.21/0.43  fof(f96,plain,(
% 0.21/0.43    ![X0]: (~p10(f13(f6(c24),X0),f13(f6(c22),c27))|~spl0_0)),
% 0.21/0.43    inference(resolution,[status(thm)],[f86,f52])).
% 0.21/0.43  fof(f106,plain,(
% 0.21/0.43    ![X0,X1]: (~p10(X0,f13(f6(c24),X1))|~p10(X0,f13(f6(c22),c27))|~spl0_0)),
% 0.21/0.43    inference(resolution,[status(thm)],[f96,f54])).
% 0.21/0.45  fof(f139,plain,(
% 0.21/0.45    ![X0]: (~p10(f13(f6(c22),c27),f13(f6(c24),X0))|~spl0_0)),
% 0.21/0.45    inference(resolution,[status(thm)],[f106,f35])).
% 0.21/0.45  fof(f145,plain,(
% 0.21/0.45    $false|~spl0_0),
% 0.21/0.45    inference(resolution,[status(thm)],[f139,f63])).
% 0.21/0.45  fof(f146,plain,(
% 0.21/0.45    ~spl0_0),
% 0.21/0.45    inference(contradiction_clause,[status(thm)],[f145])).
% 0.21/0.45  fof(f147,plain,(
% 0.21/0.45    $false),
% 0.21/0.45    inference(sat_refutation,[status(thm)],[f92,f95,f146])).
% 0.21/0.45  % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.45  % Elapsed time: 0.021752 seconds
% 0.21/0.45  % CPU time: 0.055811 seconds
% 0.21/0.45  % Total memory used: 3.176 MB
% 0.21/0.45  % Net memory used: 3.108 MB
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