TSTP Solution File: SYN647-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN647-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 20:52:44 EDT 2024

% Result   : Unsatisfiable 3.34s 0.84s
% Output   : CNFRefutation 3.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYN647-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 : Mon Apr 29 22:21:49 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V3.6.0
% 3.34/0.84  % Refutation found
% 3.34/0.84  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.34/0.84  % SZS output start CNFRefutation for theBenchmark
% 3.34/0.84  fof(f5,negated_conjecture,(
% 3.34/0.84    (![X16]: (p2(X16,X16) ))),
% 3.34/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.34/0.84  fof(f7,negated_conjecture,(
% 3.34/0.84    ~ p21(f17(c25),f17(c22)) ),
% 3.34/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.34/0.84  fof(f9,negated_conjecture,(
% 3.34/0.84    p2(f12(f11(c22)),f7(c24)) ),
% 3.34/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.34/0.84  fof(f10,negated_conjecture,(
% 3.34/0.84    p2(f12(f11(c25)),f7(c24)) ),
% 3.34/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.34/0.84  fof(f12,negated_conjecture,(
% 3.34/0.84    p20(f14(f11(c25)),f14(f11(c22))) ),
% 3.34/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.34/0.84  fof(f14,negated_conjecture,(
% 3.34/0.84    p2(f13(f11(c23)),f13(f11(c22))) ),
% 3.34/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.34/0.84  fof(f28,negated_conjecture,(
% 3.34/0.84    (![X17,X18,X16]: (( p2(X17,X18)| ~ p2(X16,X17)| ~ p2(X16,X18) ) ))),
% 3.34/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.34/0.84  fof(f32,negated_conjecture,(
% 3.34/0.84    (![X31,X32,X34,X33]: (( p20(X31,X32)| ~ p2(X34,X32)| ~ p20(X33,X34)| ~ p2(X33,X31) ) ))),
% 3.34/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.34/0.84  fof(f35,negated_conjecture,(
% 3.34/0.84    p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
% 3.34/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.34/0.84  fof(f36,negated_conjecture,(
% 3.34/0.84    p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
% 3.34/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.34/0.84  fof(f40,negated_conjecture,(
% 3.34/0.84    (![X39,X40]: (( p21(f17(X39),f17(X40))| ~ p2(f12(f11(X39)),f7(c24))| ~ p2(f12(f11(X40)),f7(c24))| ~ p2(f13(f11(X39)),f13(f11(X40)))| ~ p20(f14(f11(X39)),f14(f11(X40))) ) ))),
% 3.34/0.84    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.34/0.84  fof(f49,plain,(
% 3.34/0.84    ![X0]: (p2(X0,X0))),
% 3.34/0.84    inference(cnf_transformation,[status(esa)],[f5])).
% 3.34/0.84  fof(f51,plain,(
% 3.34/0.84    ~p21(f17(c25),f17(c22))),
% 3.34/0.84    inference(cnf_transformation,[status(esa)],[f7])).
% 3.34/0.84  fof(f53,plain,(
% 3.34/0.84    p2(f12(f11(c22)),f7(c24))),
% 3.34/0.84    inference(cnf_transformation,[status(esa)],[f9])).
% 3.34/0.84  fof(f54,plain,(
% 3.34/0.84    p2(f12(f11(c25)),f7(c24))),
% 3.34/0.84    inference(cnf_transformation,[status(esa)],[f10])).
% 3.34/0.84  fof(f56,plain,(
% 3.34/0.84    p20(f14(f11(c25)),f14(f11(c22)))),
% 3.34/0.84    inference(cnf_transformation,[status(esa)],[f12])).
% 3.34/0.84  fof(f58,plain,(
% 3.34/0.84    p2(f13(f11(c23)),f13(f11(c22)))),
% 3.34/0.84    inference(cnf_transformation,[status(esa)],[f14])).
% 3.34/0.84  fof(f75,plain,(
% 3.34/0.84    ![X18,X16]: ((![X17]: (p2(X17,X18)|~p2(X16,X17)))|~p2(X16,X18))),
% 3.34/0.84    inference(miniscoping,[status(esa)],[f28])).
% 3.34/0.84  fof(f76,plain,(
% 3.34/0.84    ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 3.34/0.84    inference(cnf_transformation,[status(esa)],[f75])).
% 3.34/0.84  fof(f83,plain,(
% 3.34/0.84    ![X31,X33]: ((![X34]: ((![X32]: (p20(X31,X32)|~p2(X34,X32)))|~p20(X33,X34)))|~p2(X33,X31))),
% 3.34/0.84    inference(miniscoping,[status(esa)],[f32])).
% 3.34/0.84  fof(f84,plain,(
% 3.34/0.84    ![X0,X1,X2,X3]: (p20(X0,X1)|~p2(X2,X1)|~p20(X3,X2)|~p2(X3,X0))),
% 3.34/0.84    inference(cnf_transformation,[status(esa)],[f83])).
% 3.34/0.84  fof(f89,plain,(
% 3.34/0.84    p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))),
% 3.34/0.84    inference(cnf_transformation,[status(esa)],[f35])).
% 3.34/0.84  fof(f90,plain,(
% 3.34/0.84    p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))),
% 3.34/0.84    inference(cnf_transformation,[status(esa)],[f36])).
% 3.34/0.84  fof(f94,plain,(
% 3.34/0.84    ![X0,X1]: (p21(f17(X0),f17(X1))|~p2(f12(f11(X0)),f7(c24))|~p2(f12(f11(X1)),f7(c24))|~p2(f13(f11(X0)),f13(f11(X1)))|~p20(f14(f11(X0)),f14(f11(X1))))),
% 3.34/0.84    inference(cnf_transformation,[status(esa)],[f40])).
% 3.34/0.84  fof(f105,plain,(
% 3.34/0.84    spl0_1 <=> p2(f12(f11(c25)),f7(c24))),
% 3.34/0.84    introduced(split_symbol_definition)).
% 3.34/0.84  fof(f107,plain,(
% 3.34/0.84    ~p2(f12(f11(c25)),f7(c24))|spl0_1),
% 3.34/0.84    inference(component_clause,[status(thm)],[f105])).
% 3.34/0.84  fof(f108,plain,(
% 3.34/0.84    spl0_2 <=> p2(f12(f11(c22)),f7(c24))),
% 3.34/0.84    introduced(split_symbol_definition)).
% 3.34/0.84  fof(f110,plain,(
% 3.34/0.84    ~p2(f12(f11(c22)),f7(c24))|spl0_2),
% 3.34/0.84    inference(component_clause,[status(thm)],[f108])).
% 3.34/0.84  fof(f111,plain,(
% 3.34/0.84    spl0_3 <=> p2(f13(f11(c25)),f13(f11(c22)))),
% 3.34/0.84    introduced(split_symbol_definition)).
% 3.34/0.84  fof(f113,plain,(
% 3.34/0.84    ~p2(f13(f11(c25)),f13(f11(c22)))|spl0_3),
% 3.34/0.84    inference(component_clause,[status(thm)],[f111])).
% 3.34/0.84  fof(f116,plain,(
% 3.34/0.84    ![X0,X1,X2,X3]: (p21(f17(X0),f17(X1))|~p2(f12(f11(X0)),f7(c24))|~p2(f12(f11(X1)),f7(c24))|~p2(f13(f11(X0)),f13(f11(X1)))|~p2(X2,f14(f11(X1)))|~p20(X3,X2)|~p2(X3,f14(f11(X0))))),
% 3.34/0.85    inference(resolution,[status(thm)],[f94,f84])).
% 3.34/0.85  fof(f118,plain,(
% 3.34/0.85    ![X0]: (~p2(X0,f13(f11(c25)))|~p2(X0,f13(f11(c22)))|spl0_3)),
% 3.34/0.85    inference(resolution,[status(thm)],[f113,f76])).
% 3.34/0.85  fof(f134,plain,(
% 3.34/0.85    ![X0,X1]: (~p2(X0,f13(f11(c22)))|~p2(X1,X0)|~p2(X1,f13(f11(c25)))|spl0_3)),
% 3.34/0.85    inference(resolution,[status(thm)],[f118,f76])).
% 3.34/0.85  fof(f160,plain,(
% 3.34/0.85    ![X0]: (~p2(X0,f13(f11(c22)))|~p2(f13(f11(c25)),X0)|spl0_3)),
% 3.34/0.85    inference(resolution,[status(thm)],[f134,f49])).
% 3.34/0.85  fof(f161,plain,(
% 3.34/0.85    ~p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22)))|spl0_3),
% 3.34/0.85    inference(resolution,[status(thm)],[f160,f90])).
% 3.34/0.85  fof(f202,plain,(
% 3.34/0.85    ![X0,X1]: (p21(f17(X0),f17(X1))|~p2(f12(f11(X0)),f7(c24))|~p2(f12(f11(X1)),f7(c24))|~p2(f13(f11(X0)),f13(f11(X1)))|~p2(f14(f11(c22)),f14(f11(X1)))|~p2(f14(f11(c25)),f14(f11(X0))))),
% 3.34/0.85    inference(resolution,[status(thm)],[f116,f56])).
% 3.34/0.85  fof(f278,plain,(
% 3.34/0.85    spl0_4 <=> p21(f17(c25),f17(X0))|~p2(f12(f11(X0)),f7(c24))|~p2(f13(f11(c25)),f13(f11(X0)))|~p2(f14(f11(c22)),f14(f11(X0)))),
% 3.34/0.85    introduced(split_symbol_definition)).
% 3.34/0.85  fof(f279,plain,(
% 3.34/0.85    ![X0]: (p21(f17(c25),f17(X0))|~p2(f12(f11(X0)),f7(c24))|~p2(f13(f11(c25)),f13(f11(X0)))|~p2(f14(f11(c22)),f14(f11(X0)))|~spl0_4)),
% 3.34/0.85    inference(component_clause,[status(thm)],[f278])).
% 3.34/0.85  fof(f281,plain,(
% 3.34/0.85    ![X0]: (p21(f17(c25),f17(X0))|~p2(f12(f11(c25)),f7(c24))|~p2(f12(f11(X0)),f7(c24))|~p2(f13(f11(c25)),f13(f11(X0)))|~p2(f14(f11(c22)),f14(f11(X0))))),
% 3.34/0.85    inference(resolution,[status(thm)],[f202,f49])).
% 3.34/0.85  fof(f282,plain,(
% 3.34/0.85    spl0_4|~spl0_1),
% 3.34/0.85    inference(split_clause,[status(thm)],[f281,f278,f105])).
% 3.34/0.85  fof(f283,plain,(
% 3.34/0.85    $false|spl0_1),
% 3.34/0.85    inference(forward_subsumption_resolution,[status(thm)],[f107,f54])).
% 3.34/0.85  fof(f284,plain,(
% 3.34/0.85    spl0_1),
% 3.34/0.85    inference(contradiction_clause,[status(thm)],[f283])).
% 3.34/0.85  fof(f344,plain,(
% 3.34/0.85    $false|spl0_2),
% 3.34/0.85    inference(forward_subsumption_resolution,[status(thm)],[f110,f53])).
% 3.34/0.85  fof(f345,plain,(
% 3.34/0.85    spl0_2),
% 3.34/0.85    inference(contradiction_clause,[status(thm)],[f344])).
% 3.34/0.85  fof(f451,plain,(
% 3.34/0.85    spl0_12 <=> p2(f14(f11(c22)),f14(f11(c22)))),
% 3.34/0.85    introduced(split_symbol_definition)).
% 3.34/0.85  fof(f453,plain,(
% 3.34/0.85    ~p2(f14(f11(c22)),f14(f11(c22)))|spl0_12),
% 3.34/0.85    inference(component_clause,[status(thm)],[f451])).
% 3.34/0.85  fof(f454,plain,(
% 3.34/0.85    ~p2(f12(f11(c22)),f7(c24))|~p2(f13(f11(c25)),f13(f11(c22)))|~p2(f14(f11(c22)),f14(f11(c22)))|~spl0_4),
% 3.34/0.85    inference(resolution,[status(thm)],[f279,f51])).
% 3.34/0.85  fof(f455,plain,(
% 3.34/0.85    ~spl0_2|~spl0_3|~spl0_12|~spl0_4),
% 3.34/0.85    inference(split_clause,[status(thm)],[f454,f108,f111,f451,f278])).
% 3.34/0.85  fof(f457,plain,(
% 3.34/0.85    $false|spl0_12),
% 3.34/0.85    inference(forward_subsumption_resolution,[status(thm)],[f453,f49])).
% 3.34/0.85  fof(f458,plain,(
% 3.34/0.85    spl0_12),
% 3.34/0.85    inference(contradiction_clause,[status(thm)],[f457])).
% 3.34/0.85  fof(f851,plain,(
% 3.34/0.85    ![X0]: (~p2(X0,f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))|~p2(X0,f13(f11(c22)))|spl0_3)),
% 3.34/0.85    inference(resolution,[status(thm)],[f161,f76])).
% 3.34/0.85  fof(f1537,plain,(
% 3.34/0.85    ~p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))))|spl0_3),
% 3.34/0.85    inference(resolution,[status(thm)],[f851,f58])).
% 3.34/0.85  fof(f1538,plain,(
% 3.34/0.85    $false|spl0_3),
% 3.34/0.85    inference(forward_subsumption_resolution,[status(thm)],[f1537,f89])).
% 3.34/0.85  fof(f1539,plain,(
% 3.34/0.85    spl0_3),
% 3.34/0.85    inference(contradiction_clause,[status(thm)],[f1538])).
% 3.34/0.85  fof(f1540,plain,(
% 3.34/0.85    $false),
% 3.34/0.85    inference(sat_refutation,[status(thm)],[f282,f284,f345,f455,f458,f1539])).
% 3.34/0.85  % SZS output end CNFRefutation for theBenchmark.p
% 3.76/0.88  % Elapsed time: 0.508416 seconds
% 3.76/0.88  % CPU time: 3.858992 seconds
% 3.76/0.88  % Total memory used: 149.798 MB
% 3.76/0.88  % Net memory used: 146.520 MB
%------------------------------------------------------------------------------