TSTP Solution File: SWC092-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC092-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 20:44:29 EDT 2024

% Result   : Unsatisfiable 2.21s 0.66s
% Output   : CNFRefutation 2.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC092-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 23:31:48 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 2.21/0.66  % Refutation found
% 2.21/0.66  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.21/0.66  % SZS output start CNFRefutation for theBenchmark
% 2.21/0.66  fof(f8,axiom,(
% 2.21/0.66    ssList(nil) ),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f57,axiom,(
% 2.21/0.66    (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f73,axiom,(
% 2.21/0.66    (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f74,axiom,(
% 2.21/0.66    (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f100,axiom,(
% 2.21/0.66    (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f119,axiom,(
% 2.21/0.66    (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = V ) ))),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f173,axiom,(
% 2.21/0.66    (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f186,negated_conjecture,(
% 2.21/0.66    ssList(sk1) ),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f187,negated_conjecture,(
% 2.21/0.66    ssList(sk2) ),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f190,negated_conjecture,(
% 2.21/0.66    sk2 = sk4 ),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f191,negated_conjecture,(
% 2.21/0.66    sk1 = sk3 ),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f192,negated_conjecture,(
% 2.21/0.66    neq(sk2,nil) ),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f193,negated_conjecture,(
% 2.21/0.66    (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f194,negated_conjecture,(
% 2.21/0.66    ssList(sk5) ),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f195,negated_conjecture,(
% 2.21/0.66    app(sk3,sk5) = sk4 ),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f198,negated_conjecture,(
% 2.21/0.66    ( nil = sk4| nil != sk3 ) ),
% 2.21/0.66    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.21/0.66  fof(f206,plain,(
% 2.21/0.66    ssList(nil)),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f8])).
% 2.21/0.66  fof(f255,plain,(
% 2.21/0.66    ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f57])).
% 2.21/0.66  fof(f272,plain,(
% 2.21/0.66    ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f73])).
% 2.21/0.66  fof(f273,plain,(
% 2.21/0.66    ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f74])).
% 2.21/0.66  fof(f301,plain,(
% 2.21/0.66    ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f100])).
% 2.21/0.66  fof(f327,plain,(
% 2.21/0.66    ![V]: ((![U]: ((~app(U,V)=nil|~ssList(V))|~ssList(U)))|nil=V)),
% 2.21/0.66    inference(miniscoping,[status(esa)],[f119])).
% 2.21/0.66  fof(f328,plain,(
% 2.21/0.66    ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X1)),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f327])).
% 2.21/0.66  fof(f404,plain,(
% 2.21/0.66    ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 2.21/0.66    inference(miniscoping,[status(esa)],[f173])).
% 2.21/0.66  fof(f405,plain,(
% 2.21/0.66    ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f404])).
% 2.21/0.66  fof(f429,plain,(
% 2.21/0.66    ssList(sk1)),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f186])).
% 2.21/0.66  fof(f430,plain,(
% 2.21/0.66    ssList(sk2)),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f187])).
% 2.21/0.66  fof(f433,plain,(
% 2.21/0.66    sk2=sk4),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f190])).
% 2.21/0.66  fof(f434,plain,(
% 2.21/0.66    sk1=sk3),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f191])).
% 2.21/0.66  fof(f435,plain,(
% 2.21/0.66    neq(sk2,nil)),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f192])).
% 2.21/0.66  fof(f436,plain,(
% 2.21/0.66    ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f193])).
% 2.21/0.66  fof(f437,plain,(
% 2.21/0.66    ssList(sk5)),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f194])).
% 2.21/0.66  fof(f438,plain,(
% 2.21/0.66    app(sk3,sk5)=sk4),
% 2.21/0.66    inference(cnf_transformation,[status(esa)],[f195])).
% 2.21/0.66  fof(f442,plain,(
% 2.48/0.67    nil=sk4|~nil=sk3),
% 2.48/0.67    inference(cnf_transformation,[status(esa)],[f198])).
% 2.48/0.67  fof(f450,plain,(
% 2.48/0.67    spl0_2 <=> nil=sk4),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f451,plain,(
% 2.48/0.67    nil=sk4|~spl0_2),
% 2.48/0.67    inference(component_clause,[status(thm)],[f450])).
% 2.48/0.67  fof(f453,plain,(
% 2.48/0.67    spl0_3 <=> nil=sk3),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f455,plain,(
% 2.48/0.67    ~nil=sk3|spl0_3),
% 2.48/0.67    inference(component_clause,[status(thm)],[f453])).
% 2.48/0.67  fof(f456,plain,(
% 2.48/0.67    spl0_2|~spl0_3),
% 2.48/0.67    inference(split_clause,[status(thm)],[f442,f450,f453])).
% 2.48/0.67  fof(f477,plain,(
% 2.48/0.67    ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 2.48/0.67    inference(destructive_equality_resolution,[status(esa)],[f405])).
% 2.48/0.67  fof(f488,plain,(
% 2.48/0.67    app(sk1,sk5)=sk4),
% 2.48/0.67    inference(forward_demodulation,[status(thm)],[f434,f438])).
% 2.48/0.67  fof(f489,plain,(
% 2.48/0.67    app(sk1,sk5)=sk2),
% 2.48/0.67    inference(forward_demodulation,[status(thm)],[f433,f488])).
% 2.48/0.67  fof(f492,plain,(
% 2.48/0.67    ~nil=sk1|spl0_3),
% 2.48/0.67    inference(forward_demodulation,[status(thm)],[f434,f455])).
% 2.48/0.67  fof(f496,plain,(
% 2.48/0.67    spl0_4 <=> ssList(sk2)),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f498,plain,(
% 2.48/0.67    ~ssList(sk2)|spl0_4),
% 2.48/0.67    inference(component_clause,[status(thm)],[f496])).
% 2.48/0.67  fof(f502,plain,(
% 2.48/0.67    spl0_6 <=> segmentP(sk1,sk2)),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f504,plain,(
% 2.48/0.67    ~segmentP(sk1,sk2)|spl0_6),
% 2.48/0.67    inference(component_clause,[status(thm)],[f502])).
% 2.48/0.67  fof(f507,plain,(
% 2.48/0.67    segmentP(sk2,sk2)),
% 2.48/0.67    inference(resolution,[status(thm)],[f255,f430])).
% 2.48/0.67  fof(f508,plain,(
% 2.48/0.67    segmentP(sk1,sk1)),
% 2.48/0.67    inference(resolution,[status(thm)],[f255,f429])).
% 2.48/0.67  fof(f509,plain,(
% 2.48/0.67    spl0_7 <=> neq(sk2,nil)),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f511,plain,(
% 2.48/0.67    ~neq(sk2,nil)|spl0_7),
% 2.48/0.67    inference(component_clause,[status(thm)],[f509])).
% 2.48/0.67  fof(f512,plain,(
% 2.48/0.67    ~ssList(sk2)|~neq(sk2,nil)|~segmentP(sk1,sk2)),
% 2.48/0.67    inference(resolution,[status(thm)],[f507,f436])).
% 2.48/0.67  fof(f513,plain,(
% 2.48/0.67    ~spl0_4|~spl0_7|~spl0_6),
% 2.48/0.67    inference(split_clause,[status(thm)],[f512,f496,f509,f502])).
% 2.48/0.67  fof(f514,plain,(
% 2.48/0.67    $false|spl0_7),
% 2.48/0.67    inference(forward_subsumption_resolution,[status(thm)],[f511,f435])).
% 2.48/0.67  fof(f515,plain,(
% 2.48/0.67    spl0_7),
% 2.48/0.67    inference(contradiction_clause,[status(thm)],[f514])).
% 2.48/0.67  fof(f516,plain,(
% 2.48/0.67    $false|spl0_4),
% 2.48/0.67    inference(forward_subsumption_resolution,[status(thm)],[f498,f430])).
% 2.48/0.67  fof(f517,plain,(
% 2.48/0.67    spl0_4),
% 2.48/0.67    inference(contradiction_clause,[status(thm)],[f516])).
% 2.48/0.67  fof(f518,plain,(
% 2.48/0.67    spl0_8 <=> ssList(sk1)),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f520,plain,(
% 2.48/0.67    ~ssList(sk1)|spl0_8),
% 2.48/0.67    inference(component_clause,[status(thm)],[f518])).
% 2.48/0.67  fof(f524,plain,(
% 2.48/0.67    spl0_10 <=> segmentP(sk2,sk1)),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f531,plain,(
% 2.48/0.67    spl0_11 <=> ssList(nil)),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f533,plain,(
% 2.48/0.67    ~ssList(nil)|spl0_11),
% 2.48/0.67    inference(component_clause,[status(thm)],[f531])).
% 2.48/0.67  fof(f548,plain,(
% 2.48/0.67    app(sk1,nil)=sk1),
% 2.48/0.67    inference(resolution,[status(thm)],[f272,f429])).
% 2.48/0.67  fof(f591,plain,(
% 2.48/0.67    $false|spl0_11),
% 2.48/0.67    inference(forward_subsumption_resolution,[status(thm)],[f533,f206])).
% 2.48/0.67  fof(f592,plain,(
% 2.48/0.67    spl0_11),
% 2.48/0.67    inference(contradiction_clause,[status(thm)],[f591])).
% 2.48/0.67  fof(f614,plain,(
% 2.48/0.67    app(nil,sk5)=sk5),
% 2.48/0.67    inference(resolution,[status(thm)],[f273,f437])).
% 2.48/0.67  fof(f623,plain,(
% 2.48/0.67    app(nil,sk1)=sk1),
% 2.48/0.67    inference(resolution,[status(thm)],[f273,f429])).
% 2.48/0.67  fof(f646,plain,(
% 2.48/0.67    spl0_16 <=> ssList(sk5)),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f648,plain,(
% 2.48/0.67    ~ssList(sk5)|spl0_16),
% 2.48/0.67    inference(component_clause,[status(thm)],[f646])).
% 2.48/0.67  fof(f659,plain,(
% 2.48/0.67    $false|spl0_16),
% 2.48/0.67    inference(forward_subsumption_resolution,[status(thm)],[f648,f437])).
% 2.48/0.67  fof(f660,plain,(
% 2.48/0.67    spl0_16),
% 2.48/0.67    inference(contradiction_clause,[status(thm)],[f659])).
% 2.48/0.67  fof(f679,plain,(
% 2.48/0.67    ![X0]: (~ssList(X0)|neq(sk1,X0)|sk1=X0)),
% 2.48/0.67    inference(resolution,[status(thm)],[f301,f429])).
% 2.48/0.67  fof(f685,plain,(
% 2.48/0.67    spl0_18 <=> sk5=nil),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f686,plain,(
% 2.48/0.67    sk5=nil|~spl0_18),
% 2.48/0.67    inference(component_clause,[status(thm)],[f685])).
% 2.48/0.67  fof(f705,plain,(
% 2.48/0.67    spl0_22 <=> sk2=nil),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f707,plain,(
% 2.48/0.67    ~sk2=nil|spl0_22),
% 2.48/0.67    inference(component_clause,[status(thm)],[f705])).
% 2.48/0.67  fof(f715,plain,(
% 2.48/0.67    spl0_24 <=> sk1=nil),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f716,plain,(
% 2.48/0.67    sk1=nil|~spl0_24),
% 2.48/0.67    inference(component_clause,[status(thm)],[f715])).
% 2.48/0.67  fof(f718,plain,(
% 2.48/0.67    spl0_25 <=> segmentP(sk1,sk1)),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f720,plain,(
% 2.48/0.67    ~segmentP(sk1,sk1)|spl0_25),
% 2.48/0.67    inference(component_clause,[status(thm)],[f718])).
% 2.48/0.67  fof(f721,plain,(
% 2.48/0.67    ~ssList(nil)|sk1=nil|~ssList(sk1)|~segmentP(sk2,sk1)|~segmentP(sk1,sk1)),
% 2.48/0.67    inference(resolution,[status(thm)],[f679,f436])).
% 2.48/0.67  fof(f722,plain,(
% 2.48/0.67    ~spl0_11|spl0_24|~spl0_8|~spl0_10|~spl0_25),
% 2.48/0.67    inference(split_clause,[status(thm)],[f721,f531,f715,f518,f524,f718])).
% 2.48/0.67  fof(f723,plain,(
% 2.48/0.67    $false|spl0_25),
% 2.48/0.67    inference(forward_subsumption_resolution,[status(thm)],[f720,f508])).
% 2.48/0.67  fof(f724,plain,(
% 2.48/0.67    spl0_25),
% 2.48/0.67    inference(contradiction_clause,[status(thm)],[f723])).
% 2.48/0.67  fof(f725,plain,(
% 2.48/0.67    $false|spl0_8),
% 2.48/0.67    inference(forward_subsumption_resolution,[status(thm)],[f520,f429])).
% 2.48/0.67  fof(f726,plain,(
% 2.48/0.67    spl0_8),
% 2.48/0.67    inference(contradiction_clause,[status(thm)],[f725])).
% 2.48/0.67  fof(f761,plain,(
% 2.48/0.67    ~sk2=nil|~ssList(sk5)|~ssList(sk1)|nil=sk5),
% 2.48/0.67    inference(paramodulation,[status(thm)],[f489,f328])).
% 2.48/0.67  fof(f762,plain,(
% 2.48/0.67    ~spl0_22|~spl0_16|~spl0_8|spl0_18),
% 2.48/0.67    inference(split_clause,[status(thm)],[f761,f705,f646,f518,f685])).
% 2.48/0.67  fof(f979,plain,(
% 2.48/0.67    $false|spl0_3|~spl0_24),
% 2.48/0.67    inference(forward_subsumption_resolution,[status(thm)],[f716,f492])).
% 2.48/0.67  fof(f980,plain,(
% 2.48/0.67    spl0_3|~spl0_24),
% 2.48/0.67    inference(contradiction_clause,[status(thm)],[f979])).
% 2.48/0.67  fof(f981,plain,(
% 2.48/0.67    nil=sk2|~spl0_2),
% 2.48/0.67    inference(forward_demodulation,[status(thm)],[f433,f451])).
% 2.48/0.67  fof(f983,plain,(
% 2.48/0.67    ~nil=nil|~spl0_2|spl0_22),
% 2.48/0.67    inference(forward_demodulation,[status(thm)],[f981,f707])).
% 2.48/0.67  fof(f984,plain,(
% 2.48/0.67    $false|~spl0_2|spl0_22),
% 2.48/0.67    inference(trivial_equality_resolution,[status(esa)],[f983])).
% 2.48/0.67  fof(f985,plain,(
% 2.48/0.67    ~spl0_2|spl0_22),
% 2.48/0.67    inference(contradiction_clause,[status(thm)],[f984])).
% 2.48/0.67  fof(f1133,plain,(
% 2.48/0.67    app(nil,sk5)=nil|~spl0_18),
% 2.48/0.67    inference(backward_demodulation,[status(thm)],[f686,f614])).
% 2.48/0.67  fof(f1134,plain,(
% 2.48/0.67    sk5=nil|~spl0_18),
% 2.48/0.67    inference(forward_demodulation,[status(thm)],[f614,f1133])).
% 2.48/0.67  fof(f1181,plain,(
% 2.48/0.67    app(sk1,nil)=sk2|~spl0_18),
% 2.48/0.67    inference(forward_demodulation,[status(thm)],[f1134,f489])).
% 2.48/0.67  fof(f1182,plain,(
% 2.48/0.67    sk2=sk1|~spl0_18),
% 2.48/0.67    inference(forward_demodulation,[status(thm)],[f1181,f548])).
% 2.48/0.67  fof(f1187,plain,(
% 2.48/0.67    ~segmentP(sk1,sk1)|~spl0_18|spl0_6),
% 2.48/0.67    inference(forward_demodulation,[status(thm)],[f1182,f504])).
% 2.48/0.67  fof(f1188,plain,(
% 2.48/0.67    $false|~spl0_18|spl0_6),
% 2.48/0.67    inference(forward_subsumption_resolution,[status(thm)],[f1187,f508])).
% 2.48/0.67  fof(f1189,plain,(
% 2.48/0.67    ~spl0_18|spl0_6),
% 2.48/0.67    inference(contradiction_clause,[status(thm)],[f1188])).
% 2.48/0.67  fof(f1681,plain,(
% 2.48/0.67    spl0_58 <=> ~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f1682,plain,(
% 2.48/0.67    ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~spl0_58)),
% 2.48/0.67    inference(component_clause,[status(thm)],[f1681])).
% 2.48/0.67  fof(f1684,plain,(
% 2.48/0.67    ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 2.48/0.67    inference(paramodulation,[status(thm)],[f623,f477])).
% 2.48/0.67  fof(f1685,plain,(
% 2.48/0.67    spl0_58|~spl0_11|~spl0_8),
% 2.48/0.67    inference(split_clause,[status(thm)],[f1684,f1681,f531,f518])).
% 2.48/0.67  fof(f1696,plain,(
% 2.48/0.67    ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~spl0_58)),
% 2.48/0.67    inference(forward_demodulation,[status(thm)],[f623,f1682])).
% 2.48/0.67  fof(f1733,plain,(
% 2.48/0.67    spl0_62 <=> ssList(app(sk1,sk5))),
% 2.48/0.67    introduced(split_symbol_definition)).
% 2.48/0.67  fof(f1735,plain,(
% 2.48/0.67    ~ssList(app(sk1,sk5))|spl0_62),
% 2.48/0.67    inference(component_clause,[status(thm)],[f1733])).
% 2.48/0.67  fof(f1736,plain,(
% 2.48/0.67    ~ssList(sk5)|~ssList(app(sk1,sk5))|segmentP(sk2,sk1)|~spl0_58),
% 2.48/0.67    inference(paramodulation,[status(thm)],[f489,f1696])).
% 2.48/0.67  fof(f1737,plain,(
% 2.48/0.67    ~spl0_16|~spl0_62|spl0_10|~spl0_58),
% 2.48/0.67    inference(split_clause,[status(thm)],[f1736,f646,f1733,f524,f1681])).
% 2.48/0.67  fof(f1743,plain,(
% 2.48/0.67    ~ssList(sk2)|spl0_62),
% 2.48/0.67    inference(forward_demodulation,[status(thm)],[f489,f1735])).
% 2.48/0.67  fof(f1744,plain,(
% 2.48/0.67    $false|spl0_62),
% 2.48/0.67    inference(forward_subsumption_resolution,[status(thm)],[f1743,f430])).
% 2.48/0.67  fof(f1745,plain,(
% 2.48/0.67    spl0_62),
% 2.48/0.67    inference(contradiction_clause,[status(thm)],[f1744])).
% 2.48/0.67  fof(f1746,plain,(
% 2.48/0.67    $false),
% 2.48/0.67    inference(sat_refutation,[status(thm)],[f456,f513,f515,f517,f592,f660,f722,f724,f726,f762,f980,f985,f1189,f1685,f1737,f1745])).
% 2.48/0.67  % SZS output end CNFRefutation for theBenchmark.p
% 2.48/0.68  % Elapsed time: 0.334676 seconds
% 2.48/0.68  % CPU time: 2.528230 seconds
% 2.48/0.68  % Total memory used: 95.592 MB
% 2.48/0.68  % Net memory used: 93.599 MB
%------------------------------------------------------------------------------