TSTP Solution File: SYN650-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN650-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 9.30s 1.55s
% Output   : CNFRefutation 9.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYN650-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Apr 29 22:16:13 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.15/0.36  % Drodi V3.6.0
% 9.30/1.55  % Refutation found
% 9.30/1.55  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.30/1.55  % SZS output start CNFRefutation for theBenchmark
% 9.30/1.55  fof(f2,negated_conjecture,(
% 9.30/1.55    (![X54]: (p8(X54,X54) ))),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f8,negated_conjecture,(
% 9.30/1.55    p22(f3(f4(f5(c26))),c27) ),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f10,negated_conjecture,(
% 9.30/1.55    p24(c33,f20(f11(c29,f12(c27,c30)))) ),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f18,negated_conjecture,(
% 9.30/1.55    (![X55,X56,X54]: (( p8(X55,X56)| ~ p8(X54,X55)| ~ p8(X54,X56) ) ))),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f24,negated_conjecture,(
% 9.30/1.55    ~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)) ),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f25,negated_conjecture,(
% 9.30/1.55    (![X40,X41,X42,X43]: (( p25(X40,X41)| ~ p8(X42,X40)| ~ p8(X43,X41)| ~ p25(X42,X43) ) ))),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f34,negated_conjecture,(
% 9.30/1.55    ~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))) ),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f35,negated_conjecture,(
% 9.30/1.55    p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f38,negated_conjecture,(
% 9.30/1.55    p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f40,negated_conjecture,(
% 9.30/1.55    (![X34,X31,X32,X33,X35]: (( p25(f16(f17(X34,f9(f11(X31,f12(X32,X33)),c31,X34))),f16(f17(X34,X35)))| ~ p22(f3(f4(f5(c26))),X32)| ~ p24(X35,f20(f11(X31,f12(X32,X33)))) ) ))),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f44,negated_conjecture,(
% 9.30/1.55    (![X35,X31,X32,X33,X34]: (( p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34))| p24(f21(X31,X32,X33,X34,X35),f20(f11(X31,f12(X32,X33))))| p23(f18(f11(X31,f12(X32,X33)),f9(f11(X31,f12(X32,X33)),c31,X34)))| ~ p22(f3(f4(f5(c26))),X32)| ~ p24(X35,f20(f11(X31,f12(X32,X33)))) ) ))),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f45,negated_conjecture,(
% 9.30/1.55    (![X35,X31,X32,X33,X34]: (( p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34))| p23(f18(f11(X31,f12(X32,X33)),f9(f11(X31,f12(X32,X33)),c31,X34)))| ~ p22(f3(f4(f5(c26))),X32)| ~ p24(X35,f20(f11(X31,f12(X32,X33))))| ~ p25(f16(f17(X34,X35)),f16(f17(X34,f21(X31,X32,X33,X34,X35)))) ) ))),
% 9.30/1.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.30/1.55  fof(f47,plain,(
% 9.30/1.55    ![X0]: (p8(X0,X0))),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f2])).
% 9.30/1.55  fof(f53,plain,(
% 9.30/1.55    p22(f3(f4(f5(c26))),c27)),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f8])).
% 9.30/1.55  fof(f55,plain,(
% 9.30/1.55    p24(c33,f20(f11(c29,f12(c27,c30))))),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f10])).
% 9.30/1.55  fof(f64,plain,(
% 9.30/1.55    ![X56,X54]: ((![X55]: (p8(X55,X56)|~p8(X54,X55)))|~p8(X54,X56))),
% 9.30/1.55    inference(miniscoping,[status(esa)],[f18])).
% 9.30/1.55  fof(f65,plain,(
% 9.30/1.55    ![X0,X1,X2]: (p8(X0,X1)|~p8(X2,X0)|~p8(X2,X1))),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f64])).
% 9.30/1.55  fof(f75,plain,(
% 9.30/1.55    ~p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32))),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f24])).
% 9.30/1.55  fof(f76,plain,(
% 9.30/1.55    ![X42,X43]: ((![X41]: ((![X40]: (p25(X40,X41)|~p8(X42,X40)))|~p8(X43,X41)))|~p25(X42,X43))),
% 9.30/1.55    inference(miniscoping,[status(esa)],[f25])).
% 9.30/1.55  fof(f77,plain,(
% 9.30/1.55    ![X0,X1,X2,X3]: (p25(X0,X1)|~p8(X2,X0)|~p8(X3,X1)|~p25(X2,X3))),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f76])).
% 9.30/1.55  fof(f94,plain,(
% 9.30/1.55    ~p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f34])).
% 9.30/1.55  fof(f95,plain,(
% 9.30/1.55    p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))))),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f35])).
% 9.30/1.55  fof(f100,plain,(
% 9.30/1.55    p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))))),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f38])).
% 9.30/1.55  fof(f103,plain,(
% 9.30/1.55    ![X31,X32,X33,X35]: (((![X34]: p25(f16(f17(X34,f9(f11(X31,f12(X32,X33)),c31,X34))),f16(f17(X34,X35))))|~p22(f3(f4(f5(c26))),X32))|~p24(X35,f20(f11(X31,f12(X32,X33)))))),
% 9.30/1.55    inference(miniscoping,[status(esa)],[f40])).
% 9.30/1.55  fof(f104,plain,(
% 9.30/1.55    ![X0,X1,X2,X3,X4]: (p25(f16(f17(X0,f9(f11(X1,f12(X2,X3)),c31,X0))),f16(f17(X0,X4)))|~p22(f3(f4(f5(c26))),X2)|~p24(X4,f20(f11(X1,f12(X2,X3)))))),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f103])).
% 9.30/1.55  fof(f110,plain,(
% 9.30/1.55    ![X35,X31,X32,X33]: (((![X34]: ((p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34))|p24(f21(X31,X32,X33,X34,X35),f20(f11(X31,f12(X32,X33)))))|p23(f18(f11(X31,f12(X32,X33)),f9(f11(X31,f12(X32,X33)),c31,X34)))))|~p22(f3(f4(f5(c26))),X32))|~p24(X35,f20(f11(X31,f12(X32,X33)))))),
% 9.30/1.55    inference(miniscoping,[status(esa)],[f44])).
% 9.30/1.55  fof(f111,plain,(
% 9.30/1.55    ![X0,X1,X2,X3,X4]: (p8(X0,f9(f11(X1,f12(X2,X3)),c31,X4))|p24(f21(X1,X2,X3,X4,X0),f20(f11(X1,f12(X2,X3))))|p23(f18(f11(X1,f12(X2,X3)),f9(f11(X1,f12(X2,X3)),c31,X4)))|~p22(f3(f4(f5(c26))),X2)|~p24(X0,f20(f11(X1,f12(X2,X3)))))),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f110])).
% 9.30/1.55  fof(f112,plain,(
% 9.30/1.55    ![X0,X1,X2,X3,X4]: (p8(X0,f9(f11(X1,f12(X2,X3)),c31,X4))|p23(f18(f11(X1,f12(X2,X3)),f9(f11(X1,f12(X2,X3)),c31,X4)))|~p22(f3(f4(f5(c26))),X2)|~p24(X0,f20(f11(X1,f12(X2,X3))))|~p25(f16(f17(X4,X0)),f16(f17(X4,f21(X1,X2,X3,X4,X0)))))),
% 9.30/1.55    inference(cnf_transformation,[status(esa)],[f45])).
% 9.30/1.55  fof(f121,plain,(
% 9.30/1.55    ![X0,X1]: (p8(X0,X1)|~p8(X1,X0))),
% 9.30/1.55    inference(resolution,[status(thm)],[f65,f47])).
% 9.30/1.55  fof(f131,plain,(
% 9.30/1.55    ![X0,X1,X2]: (p25(X0,X1)|~p8(X2,X0)|~p25(X2,X1))),
% 9.30/1.55    inference(resolution,[status(thm)],[f77,f47])).
% 9.30/1.55  fof(f172,plain,(
% 9.30/1.55    p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,c33)))),
% 9.30/1.55    inference(resolution,[status(thm)],[f95,f121])).
% 9.30/1.55  fof(f373,plain,(
% 9.30/1.55    spl0_1 <=> p22(f3(f4(f5(c26))),c27)),
% 9.30/1.55    introduced(split_symbol_definition)).
% 9.30/1.55  fof(f375,plain,(
% 9.30/1.55    ~p22(f3(f4(f5(c26))),c27)|spl0_1),
% 9.30/1.55    inference(component_clause,[status(thm)],[f373])).
% 9.30/1.55  fof(f383,plain,(
% 9.30/1.55    $false|spl0_1),
% 9.30/1.55    inference(forward_subsumption_resolution,[status(thm)],[f375,f53])).
% 9.30/1.55  fof(f384,plain,(
% 9.30/1.55    spl0_1),
% 9.30/1.55    inference(contradiction_clause,[status(thm)],[f383])).
% 9.30/1.55  fof(f614,plain,(
% 9.30/1.55    spl0_7 <=> p8(c33,f9(f11(c29,f12(c27,c30)),c31,X0))|p24(f21(c29,c27,c30,X0,c33),f20(f11(c29,f12(c27,c30))))|p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,X0)))),
% 9.30/1.55    introduced(split_symbol_definition)).
% 9.30/1.55  fof(f615,plain,(
% 9.30/1.55    ![X0]: (p8(c33,f9(f11(c29,f12(c27,c30)),c31,X0))|p24(f21(c29,c27,c30,X0,c33),f20(f11(c29,f12(c27,c30))))|p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,X0)))|~spl0_7)),
% 9.30/1.55    inference(component_clause,[status(thm)],[f614])).
% 9.30/1.55  fof(f617,plain,(
% 9.30/1.55    ![X0]: (p8(c33,f9(f11(c29,f12(c27,c30)),c31,X0))|p24(f21(c29,c27,c30,X0,c33),f20(f11(c29,f12(c27,c30))))|p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,X0)))|~p22(f3(f4(f5(c26))),c27))),
% 9.30/1.55    inference(resolution,[status(thm)],[f111,f55])).
% 9.30/1.55  fof(f618,plain,(
% 9.30/1.55    spl0_7|~spl0_1),
% 9.30/1.55    inference(split_clause,[status(thm)],[f617,f614,f373])).
% 9.30/1.55  fof(f627,plain,(
% 9.30/1.55    spl0_8 <=> p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32))),
% 9.30/1.55    introduced(split_symbol_definition)).
% 9.30/1.55  fof(f628,plain,(
% 9.30/1.55    p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32))|~spl0_8),
% 9.30/1.55    inference(component_clause,[status(thm)],[f627])).
% 9.30/1.55  fof(f630,plain,(
% 9.30/1.55    spl0_9 <=> p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30))))),
% 9.30/1.55    introduced(split_symbol_definition)).
% 9.30/1.55  fof(f631,plain,(
% 9.30/1.55    p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30))))|~spl0_9),
% 9.30/1.55    inference(component_clause,[status(thm)],[f630])).
% 9.30/1.55  fof(f633,plain,(
% 9.30/1.55    p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32))|p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30))))|~spl0_7),
% 9.30/1.55    inference(resolution,[status(thm)],[f615,f94])).
% 9.30/1.55  fof(f634,plain,(
% 9.30/1.55    spl0_8|spl0_9|~spl0_7),
% 9.30/1.55    inference(split_clause,[status(thm)],[f633,f627,f630,f614])).
% 9.30/1.55  fof(f640,plain,(
% 9.30/1.55    $false|~spl0_8),
% 9.30/1.55    inference(forward_subsumption_resolution,[status(thm)],[f628,f75])).
% 9.30/1.55  fof(f641,plain,(
% 9.30/1.55    ~spl0_8),
% 9.30/1.55    inference(contradiction_clause,[status(thm)],[f640])).
% 9.30/1.55  fof(f655,plain,(
% 9.30/1.55    spl0_14 <=> p25(f16(f17(X0,f9(f11(c29,f12(c27,c30)),c31,X0))),f16(f17(X0,f21(c29,c27,c30,c32,c33))))),
% 9.30/1.55    introduced(split_symbol_definition)).
% 9.30/1.55  fof(f656,plain,(
% 9.30/1.55    ![X0]: (p25(f16(f17(X0,f9(f11(c29,f12(c27,c30)),c31,X0))),f16(f17(X0,f21(c29,c27,c30,c32,c33))))|~spl0_14)),
% 9.30/1.55    inference(component_clause,[status(thm)],[f655])).
% 9.30/1.55  fof(f658,plain,(
% 9.30/1.55    ![X0]: (p25(f16(f17(X0,f9(f11(c29,f12(c27,c30)),c31,X0))),f16(f17(X0,f21(c29,c27,c30,c32,c33))))|~p22(f3(f4(f5(c26))),c27)|~spl0_9)),
% 9.30/1.55    inference(resolution,[status(thm)],[f631,f104])).
% 9.30/1.55  fof(f659,plain,(
% 9.30/1.55    spl0_14|~spl0_1|~spl0_9),
% 9.30/1.55    inference(split_clause,[status(thm)],[f658,f655,f373,f630])).
% 9.30/1.55  fof(f667,plain,(
% 9.30/1.55    ![X0,X1]: (p25(X0,f16(f17(X1,f21(c29,c27,c30,c32,c33))))|~p8(f16(f17(X1,f9(f11(c29,f12(c27,c30)),c31,X1))),X0)|~spl0_14)),
% 9.30/1.55    inference(resolution,[status(thm)],[f656,f131])).
% 9.30/1.55  fof(f691,plain,(
% 9.30/1.55    p25(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,f21(c29,c27,c30,c32,c33))))|~spl0_14),
% 9.30/1.55    inference(resolution,[status(thm)],[f667,f100])).
% 9.30/1.55  fof(f696,plain,(
% 9.30/1.55    ![X0]: (p25(X0,f16(f17(c32,f21(c29,c27,c30,c32,c33))))|~p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),X0)|~spl0_14)),
% 9.30/1.55    inference(resolution,[status(thm)],[f691,f131])).
% 9.30/1.55  fof(f4730,plain,(
% 9.30/1.55    p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33))))|~spl0_14),
% 9.30/1.55    inference(resolution,[status(thm)],[f172,f696])).
% 9.30/1.55  fof(f4858,plain,(
% 9.30/1.55    spl0_46 <=> p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))),
% 9.30/1.55    introduced(split_symbol_definition)).
% 9.30/1.55  fof(f4859,plain,(
% 9.30/1.55    p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))|~spl0_46),
% 9.30/1.55    inference(component_clause,[status(thm)],[f4858])).
% 9.30/1.55  fof(f4861,plain,(
% 9.30/1.55    spl0_47 <=> p24(c33,f20(f11(c29,f12(c27,c30))))),
% 9.30/1.55    introduced(split_symbol_definition)).
% 9.30/1.55  fof(f4863,plain,(
% 9.30/1.55    ~p24(c33,f20(f11(c29,f12(c27,c30))))|spl0_47),
% 9.30/1.55    inference(component_clause,[status(thm)],[f4861])).
% 9.30/1.55  fof(f4864,plain,(
% 9.30/1.55    p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32))|p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))|~p22(f3(f4(f5(c26))),c27)|~p24(c33,f20(f11(c29,f12(c27,c30))))|~spl0_14),
% 9.30/1.55    inference(resolution,[status(thm)],[f4730,f112])).
% 9.30/1.55  fof(f4865,plain,(
% 9.30/1.55    spl0_8|spl0_46|~spl0_1|~spl0_47|~spl0_14),
% 9.30/1.55    inference(split_clause,[status(thm)],[f4864,f627,f4858,f373,f4861,f655])).
% 9.30/1.56  fof(f4870,plain,(
% 9.30/1.56    $false|spl0_47),
% 9.30/1.56    inference(forward_subsumption_resolution,[status(thm)],[f4863,f55])).
% 9.30/1.56  fof(f4871,plain,(
% 9.30/1.56    spl0_47),
% 9.30/1.56    inference(contradiction_clause,[status(thm)],[f4870])).
% 9.30/1.56  fof(f4872,plain,(
% 9.30/1.56    $false|~spl0_46),
% 9.30/1.56    inference(forward_subsumption_resolution,[status(thm)],[f4859,f94])).
% 9.30/1.56  fof(f4873,plain,(
% 9.30/1.56    ~spl0_46),
% 9.30/1.56    inference(contradiction_clause,[status(thm)],[f4872])).
% 9.30/1.56  fof(f4874,plain,(
% 9.30/1.56    $false),
% 9.30/1.56    inference(sat_refutation,[status(thm)],[f384,f618,f634,f641,f659,f4865,f4871,f4873])).
% 9.30/1.56  % SZS output end CNFRefutation for theBenchmark.p
% 9.30/1.58  % Elapsed time: 1.214927 seconds
% 9.30/1.58  % CPU time: 9.535619 seconds
% 9.30/1.58  % Total memory used: 87.328 MB
% 9.30/1.58  % Net memory used: 85.785 MB
%------------------------------------------------------------------------------