TSTP Solution File: SYN614-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN614-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 : Wed May 31 12:47:14 EDT 2023

% Result   : Unsatisfiable 7.29s 1.32s
% Output   : CNFRefutation 7.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN614-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34  % Computer : n024.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Tue May 30 10:26:48 EDT 2023
% 0.11/0.34  % CPUTime  : 
% 0.17/0.34  % Drodi V3.5.1
% 7.29/1.32  % Refutation found
% 7.29/1.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.29/1.32  % SZS output start CNFRefutation for theBenchmark
% 7.29/1.32  fof(f2,negated_conjecture,(
% 7.29/1.32    (![X43]: (p7(X43,X43) ))),
% 7.29/1.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.29/1.32  fof(f6,negated_conjecture,(
% 7.29/1.32    p19(c23,f3(f4(f5(c22)))) ),
% 7.29/1.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.29/1.32  fof(f7,negated_conjecture,(
% 7.29/1.32    p20(c24,f6(f3(f4(f5(c22))),c21)) ),
% 7.29/1.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.29/1.32  fof(f13,negated_conjecture,(
% 7.29/1.32    p2(c26,f14(f16(c28,f17(c21,c27)),c25)) ),
% 7.29/1.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.29/1.32  fof(f15,negated_conjecture,(
% 7.29/1.32    (![X44,X45,X43]: (( p7(X44,X45)| ~ p7(X43,X44)| ~ p7(X43,X45) ) ))),
% 7.29/1.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.29/1.32  fof(f18,negated_conjecture,(
% 7.29/1.32    p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24) ),
% 7.29/1.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.29/1.32  fof(f23,negated_conjecture,(
% 7.29/1.32    (![X54,X55,X56,X57]: (( p7(f8(X54,X55),f8(X56,X57))| ~ p7(X54,X56)| ~ p7(X55,X57) ) ))),
% 7.29/1.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.29/1.32  fof(f24,negated_conjecture,(
% 7.29/1.32    (![X46,X47,X48,X49]: (( p7(f10(X46,X47),f10(X48,X49))| ~ p2(X47,X49)| ~ p7(X46,X48) ) ))),
% 7.29/1.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.29/1.32  fof(f29,negated_conjecture,(
% 7.29/1.32    p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
% 7.29/1.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.29/1.32  fof(f31,negated_conjecture,(
% 7.29/1.32    (![X62,X63]: (( ~ p19(X62,f3(f4(f5(c22))))| ~ p20(X63,f6(f3(f4(f5(c22))),c21))| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X63)| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X62),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X63),f10(f11(f3(f4(f5(c22)))),c27))))) ) ))),
% 7.29/1.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.29/1.32  fof(f33,plain,(
% 7.29/1.32    ![X0]: (p7(X0,X0))),
% 7.29/1.32    inference(cnf_transformation,[status(esa)],[f2])).
% 7.29/1.32  fof(f37,plain,(
% 7.29/1.32    p19(c23,f3(f4(f5(c22))))),
% 7.29/1.32    inference(cnf_transformation,[status(esa)],[f6])).
% 7.29/1.32  fof(f38,plain,(
% 7.29/1.32    p20(c24,f6(f3(f4(f5(c22))),c21))),
% 7.29/1.32    inference(cnf_transformation,[status(esa)],[f7])).
% 7.29/1.32  fof(f44,plain,(
% 7.29/1.32    p2(c26,f14(f16(c28,f17(c21,c27)),c25))),
% 7.29/1.32    inference(cnf_transformation,[status(esa)],[f13])).
% 7.29/1.32  fof(f47,plain,(
% 7.29/1.32    ![X45,X43]: ((![X44]: (p7(X44,X45)|~p7(X43,X44)))|~p7(X43,X45))),
% 7.29/1.32    inference(miniscoping,[status(esa)],[f15])).
% 7.29/1.32  fof(f48,plain,(
% 7.29/1.32    ![X0,X1,X2]: (p7(X0,X1)|~p7(X2,X0)|~p7(X2,X1))),
% 7.29/1.32    inference(cnf_transformation,[status(esa)],[f47])).
% 7.29/1.32  fof(f53,plain,(
% 7.29/1.32    p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24)),
% 7.29/1.32    inference(cnf_transformation,[status(esa)],[f18])).
% 7.29/1.32  fof(f62,plain,(
% 7.29/1.32    ![X55,X57]: ((![X54,X56]: (p7(f8(X54,X55),f8(X56,X57))|~p7(X54,X56)))|~p7(X55,X57))),
% 7.29/1.32    inference(miniscoping,[status(esa)],[f23])).
% 7.29/1.32  fof(f63,plain,(
% 7.29/1.32    ![X0,X1,X2,X3]: (p7(f8(X0,X1),f8(X2,X3))|~p7(X0,X2)|~p7(X1,X3))),
% 7.29/1.32    inference(cnf_transformation,[status(esa)],[f62])).
% 7.29/1.32  fof(f64,plain,(
% 7.29/1.32    ![X46,X48]: ((![X47,X49]: (p7(f10(X46,X47),f10(X48,X49))|~p2(X47,X49)))|~p7(X46,X48))),
% 7.29/1.32    inference(miniscoping,[status(esa)],[f24])).
% 7.29/1.32  fof(f65,plain,(
% 7.29/1.32    ![X0,X1,X2,X3]: (p7(f10(X0,X1),f10(X2,X3))|~p2(X1,X3)|~p7(X0,X2))),
% 7.29/1.32    inference(cnf_transformation,[status(esa)],[f64])).
% 7.29/1.32  fof(f74,plain,(
% 7.29/1.32    p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))),
% 7.29/1.32    inference(cnf_transformation,[status(esa)],[f29])).
% 7.29/1.32  fof(f76,plain,(
% 7.29/1.32    ![X0,X1]: (~p19(X0,f3(f4(f5(c22))))|~p20(X1,f6(f3(f4(f5(c22))),c21))|~p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X1)|~p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27))))))),
% 7.29/1.32    inference(cnf_transformation,[status(esa)],[f31])).
% 7.29/1.32  fof(f131,plain,(
% 7.29/1.32    ![X0,X1,X2]: (~p19(X0,f3(f4(f5(c22))))|~p20(X1,f6(f3(f4(f5(c22))),c21))|~p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X1)|~p7(X2,c25)|~p7(X2,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27))))))),
% 7.29/1.32    inference(resolution,[status(thm)],[f76,f48])).
% 7.29/1.32  fof(f132,plain,(
% 7.29/1.32    spl0_2 <=> ~p19(X0,f3(f4(f5(c22))))|~p7(X1,c25)|~p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))),
% 7.29/1.32    introduced(split_symbol_definition)).
% 7.29/1.32  fof(f133,plain,(
% 7.29/1.32    ![X0,X1]: (~p19(X0,f3(f4(f5(c22))))|~p7(X1,c25)|~p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~spl0_2)),
% 7.29/1.32    inference(component_clause,[status(thm)],[f132])).
% 7.29/1.32  fof(f141,plain,(
% 7.29/1.32    spl0_4 <=> p20(c24,f6(f3(f4(f5(c22))),c21))),
% 7.29/1.32    introduced(split_symbol_definition)).
% 7.29/1.32  fof(f143,plain,(
% 7.29/1.32    ~p20(c24,f6(f3(f4(f5(c22))),c21))|spl0_4),
% 7.29/1.32    inference(component_clause,[status(thm)],[f141])).
% 7.29/1.32  fof(f144,plain,(
% 7.29/1.32    ![X0,X1]: (~p19(X0,f3(f4(f5(c22))))|~p20(c24,f6(f3(f4(f5(c22))),c21))|~p7(X1,c25)|~p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))))),
% 7.29/1.32    inference(resolution,[status(thm)],[f131,f53])).
% 7.29/1.32  fof(f145,plain,(
% 7.29/1.32    spl0_2|~spl0_4),
% 7.29/1.32    inference(split_clause,[status(thm)],[f144,f132,f141])).
% 7.29/1.32  fof(f147,plain,(
% 7.29/1.32    $false|spl0_4),
% 7.29/1.32    inference(forward_subsumption_resolution,[status(thm)],[f143,f38])).
% 7.29/1.32  fof(f148,plain,(
% 7.29/1.32    spl0_4),
% 7.29/1.32    inference(contradiction_clause,[status(thm)],[f147])).
% 7.29/1.32  fof(f193,plain,(
% 7.29/1.32    ![X0]: (~p7(X0,c25)|~p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~spl0_2)),
% 7.29/1.32    inference(resolution,[status(thm)],[f133,f37])).
% 7.29/1.32  fof(f230,plain,(
% 7.29/1.32    ![X0,X1]: (~p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~p7(X1,X0)|~p7(X1,c25)|~spl0_2)),
% 7.29/1.32    inference(resolution,[status(thm)],[f193,f48])).
% 7.29/1.32  fof(f271,plain,(
% 7.29/1.32    ![X0]: (~p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~p7(c25,X0)|~spl0_2)),
% 7.29/1.32    inference(resolution,[status(thm)],[f230,f33])).
% 7.29/1.32  fof(f379,plain,(
% 7.29/1.32    ~p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~spl0_2),
% 7.29/1.32    inference(resolution,[status(thm)],[f271,f74])).
% 7.29/1.32  fof(f508,plain,(
% 7.29/1.32    spl0_10 <=> p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))),
% 7.29/1.32    introduced(split_symbol_definition)).
% 7.29/1.32  fof(f510,plain,(
% 7.29/1.32    ~p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))|spl0_10),
% 7.29/1.32    inference(component_clause,[status(thm)],[f508])).
% 7.29/1.32  fof(f511,plain,(
% 7.29/1.32    spl0_11 <=> p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
% 7.29/1.32    introduced(split_symbol_definition)).
% 7.29/1.32  fof(f513,plain,(
% 7.29/1.32    ~p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))|spl0_11),
% 7.29/1.32    inference(component_clause,[status(thm)],[f511])).
% 7.29/1.32  fof(f514,plain,(
% 7.29/1.32    ~p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))|~p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))|~spl0_2),
% 7.29/1.32    inference(resolution,[status(thm)],[f379,f63])).
% 7.29/1.32  fof(f515,plain,(
% 7.29/1.32    ~spl0_10|~spl0_11|~spl0_2),
% 7.29/1.32    inference(split_clause,[status(thm)],[f514,f508,f511,f132])).
% 7.29/1.32  fof(f517,plain,(
% 7.29/1.32    $false|spl0_10),
% 7.29/1.32    inference(forward_subsumption_resolution,[status(thm)],[f510,f33])).
% 7.29/1.32  fof(f518,plain,(
% 7.29/1.32    spl0_10),
% 7.29/1.32    inference(contradiction_clause,[status(thm)],[f517])).
% 7.29/1.32  fof(f782,plain,(
% 7.29/1.32    spl0_21 <=> p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))),
% 7.29/1.32    introduced(split_symbol_definition)).
% 7.29/1.32  fof(f784,plain,(
% 7.29/1.32    ~p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))|spl0_21),
% 7.29/1.32    inference(component_clause,[status(thm)],[f782])).
% 7.29/1.32  fof(f785,plain,(
% 7.29/1.32    spl0_22 <=> p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),
% 7.29/1.32    introduced(split_symbol_definition)).
% 7.29/1.32  fof(f787,plain,(
% 7.29/1.32    ~p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))|spl0_22),
% 7.29/1.32    inference(component_clause,[status(thm)],[f785])).
% 7.29/1.32  fof(f788,plain,(
% 7.29/1.32    ~p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))|~p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))|spl0_11),
% 7.29/1.32    inference(resolution,[status(thm)],[f513,f63])).
% 7.29/1.32  fof(f789,plain,(
% 7.29/1.32    ~spl0_21|~spl0_22|spl0_11),
% 7.29/1.32    inference(split_clause,[status(thm)],[f788,f782,f785,f511])).
% 7.29/1.32  fof(f791,plain,(
% 7.29/1.32    spl0_23 <=> p2(c26,f14(f16(c28,f17(c21,c27)),c25))),
% 7.29/1.32    introduced(split_symbol_definition)).
% 7.29/1.32  fof(f793,plain,(
% 7.29/1.32    ~p2(c26,f14(f16(c28,f17(c21,c27)),c25))|spl0_23),
% 7.29/1.32    inference(component_clause,[status(thm)],[f791])).
% 7.29/1.32  fof(f794,plain,(
% 7.29/1.32    spl0_24 <=> p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))),
% 7.29/1.32    introduced(split_symbol_definition)).
% 7.29/1.32  fof(f796,plain,(
% 7.29/1.32    ~p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))|spl0_24),
% 7.29/1.32    inference(component_clause,[status(thm)],[f794])).
% 7.29/1.32  fof(f797,plain,(
% 7.29/1.32    ~p2(c26,f14(f16(c28,f17(c21,c27)),c25))|~p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))|spl0_21),
% 7.29/1.32    inference(resolution,[status(thm)],[f784,f65])).
% 7.29/1.32  fof(f798,plain,(
% 7.29/1.32    ~spl0_23|~spl0_24|spl0_21),
% 7.29/1.32    inference(split_clause,[status(thm)],[f797,f791,f794,f782])).
% 7.29/1.32  fof(f800,plain,(
% 7.29/1.32    $false|spl0_22),
% 7.29/1.32    inference(forward_subsumption_resolution,[status(thm)],[f787,f33])).
% 7.29/1.32  fof(f801,plain,(
% 7.29/1.32    spl0_22),
% 7.29/1.32    inference(contradiction_clause,[status(thm)],[f800])).
% 7.29/1.32  fof(f802,plain,(
% 7.29/1.32    $false|spl0_23),
% 7.29/1.32    inference(forward_subsumption_resolution,[status(thm)],[f793,f44])).
% 7.29/1.32  fof(f803,plain,(
% 7.29/1.32    spl0_23),
% 7.29/1.32    inference(contradiction_clause,[status(thm)],[f802])).
% 7.29/1.32  fof(f804,plain,(
% 7.29/1.32    $false|spl0_24),
% 7.29/1.32    inference(forward_subsumption_resolution,[status(thm)],[f796,f33])).
% 7.29/1.32  fof(f805,plain,(
% 7.29/1.32    spl0_24),
% 7.29/1.32    inference(contradiction_clause,[status(thm)],[f804])).
% 7.29/1.32  fof(f806,plain,(
% 7.29/1.32    $false),
% 7.29/1.32    inference(sat_refutation,[status(thm)],[f145,f148,f515,f518,f789,f798,f801,f803,f805])).
% 7.29/1.32  % SZS output end CNFRefutation for theBenchmark.p
% 7.29/1.36  % Elapsed time: 1.003413 seconds
% 7.29/1.36  % CPU time: 7.496753 seconds
% 7.29/1.36  % Memory used: 121.009 MB
%------------------------------------------------------------------------------