TSTP Solution File: SEU156+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU156+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:41:15 EDT 2024

% Result   : Theorem 1.95s 0.63s
% Output   : CNFRefutation 1.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU156+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 20:08:59 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 1.95/0.63  % Refutation found
% 1.95/0.63  % SZS status Theorem for theBenchmark: Theorem is valid
% 1.95/0.63  % SZS output start CNFRefutation for theBenchmark
% 1.95/0.63  fof(f1,axiom,(
% 1.95/0.63    (! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) )),
% 1.95/0.63    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.95/0.63  fof(f2,axiom,(
% 1.95/0.63    (! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) )),
% 1.95/0.63    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.95/0.63  fof(f10,axiom,(
% 1.95/0.63    (! [A,B,C,D] :~ ( unordered_pair(A,B) = unordered_pair(C,D)& A != C& A != D ) )),
% 1.95/0.63    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.95/0.63  fof(f11,conjecture,(
% 1.95/0.63    (! [A,B,C,D] :( ordered_pair(A,B) = ordered_pair(C,D)=> ( A = C& B = D ) ) )),
% 1.95/0.63    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.95/0.63  fof(f12,negated_conjecture,(
% 1.95/0.63    ~((! [A,B,C,D] :( ordered_pair(A,B) = ordered_pair(C,D)=> ( A = C& B = D ) ) ))),
% 1.95/0.63    inference(negated_conjecture,[status(cth)],[f11])).
% 1.95/0.63  fof(f13,axiom,(
% 1.95/0.63    (! [A] : unordered_pair(A,A) = singleton(A) )),
% 1.95/0.63    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.95/0.63  fof(f15,axiom,(
% 1.95/0.63    (! [A,B,C] :( singleton(A) = unordered_pair(B,C)=> A = B ) )),
% 1.95/0.63    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.95/0.63  fof(f16,axiom,(
% 1.95/0.63    (! [A,B,C] :( singleton(A) = unordered_pair(B,C)=> B = C ) )),
% 1.95/0.63    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.95/0.63  fof(f17,plain,(
% 1.95/0.63    ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 1.95/0.63    inference(cnf_transformation,[status(esa)],[f1])).
% 1.95/0.63  fof(f18,plain,(
% 1.95/0.63    ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(unordered_pair(X0,X1),singleton(X0)))),
% 1.95/0.63    inference(cnf_transformation,[status(esa)],[f2])).
% 1.95/0.63  fof(f26,plain,(
% 1.95/0.63    ![A,B,C,D]: ((~unordered_pair(A,B)=unordered_pair(C,D)|A=C)|A=D)),
% 1.95/0.63    inference(pre_NNF_transformation,[status(esa)],[f10])).
% 1.95/0.63  fof(f27,plain,(
% 1.95/0.63    ![A,D]: ((![C]: ((![B]: ~unordered_pair(A,B)=unordered_pair(C,D))|A=C))|A=D)),
% 1.95/0.63    inference(miniscoping,[status(esa)],[f26])).
% 1.95/0.63  fof(f28,plain,(
% 1.95/0.63    ![X0,X1,X2,X3]: (~unordered_pair(X0,X1)=unordered_pair(X2,X3)|X0=X2|X0=X3)),
% 1.95/0.63    inference(cnf_transformation,[status(esa)],[f27])).
% 1.95/0.63  fof(f29,plain,(
% 1.95/0.63    (?[A,B,C,D]: (ordered_pair(A,B)=ordered_pair(C,D)&(~A=C|~B=D)))),
% 1.95/0.63    inference(pre_NNF_transformation,[status(esa)],[f12])).
% 1.95/0.63  fof(f30,plain,(
% 1.95/0.63    (ordered_pair(sk0_2,sk0_3)=ordered_pair(sk0_4,sk0_5)&(~sk0_2=sk0_4|~sk0_3=sk0_5))),
% 1.95/0.63    inference(skolemization,[status(esa)],[f29])).
% 1.95/0.63  fof(f31,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_3)=ordered_pair(sk0_4,sk0_5)),
% 1.95/0.63    inference(cnf_transformation,[status(esa)],[f30])).
% 1.95/0.63  fof(f32,plain,(
% 1.95/0.63    ~sk0_2=sk0_4|~sk0_3=sk0_5),
% 1.95/0.63    inference(cnf_transformation,[status(esa)],[f30])).
% 1.95/0.63  fof(f33,plain,(
% 1.95/0.63    ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 1.95/0.63    inference(cnf_transformation,[status(esa)],[f13])).
% 1.95/0.63  fof(f36,plain,(
% 1.95/0.63    ![A,B,C]: (~singleton(A)=unordered_pair(B,C)|A=B)),
% 1.95/0.63    inference(pre_NNF_transformation,[status(esa)],[f15])).
% 1.95/0.63  fof(f37,plain,(
% 1.95/0.63    ![A,B]: ((![C]: ~singleton(A)=unordered_pair(B,C))|A=B)),
% 1.95/0.63    inference(miniscoping,[status(esa)],[f36])).
% 1.95/0.63  fof(f38,plain,(
% 1.95/0.63    ![X0,X1,X2]: (~singleton(X0)=unordered_pair(X1,X2)|X0=X1)),
% 1.95/0.63    inference(cnf_transformation,[status(esa)],[f37])).
% 1.95/0.63  fof(f39,plain,(
% 1.95/0.63    ![A,B,C]: (~singleton(A)=unordered_pair(B,C)|B=C)),
% 1.95/0.63    inference(pre_NNF_transformation,[status(esa)],[f16])).
% 1.95/0.63  fof(f40,plain,(
% 1.95/0.63    ![B,C]: ((![A]: ~singleton(A)=unordered_pair(B,C))|B=C)),
% 1.95/0.63    inference(miniscoping,[status(esa)],[f39])).
% 1.95/0.63  fof(f41,plain,(
% 1.95/0.63    ![X0,X1,X2]: (~singleton(X0)=unordered_pair(X1,X2)|X1=X2)),
% 1.95/0.63    inference(cnf_transformation,[status(esa)],[f40])).
% 1.95/0.63  fof(f42,plain,(
% 1.95/0.63    spl0_0 <=> sk0_2=sk0_4),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f43,plain,(
% 1.95/0.63    sk0_2=sk0_4|~spl0_0),
% 1.95/0.63    inference(component_clause,[status(thm)],[f42])).
% 1.95/0.63  fof(f44,plain,(
% 1.95/0.63    ~sk0_2=sk0_4|spl0_0),
% 1.95/0.63    inference(component_clause,[status(thm)],[f42])).
% 1.95/0.63  fof(f45,plain,(
% 1.95/0.63    spl0_1 <=> sk0_3=sk0_5),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f47,plain,(
% 1.95/0.63    ~sk0_3=sk0_5|spl0_1),
% 1.95/0.63    inference(component_clause,[status(thm)],[f45])).
% 1.95/0.63  fof(f48,plain,(
% 1.95/0.63    ~spl0_0|~spl0_1),
% 1.95/0.63    inference(split_clause,[status(thm)],[f32,f42,f45])).
% 1.95/0.63  fof(f49,plain,(
% 1.95/0.63    ![X0,X1]: (ordered_pair(unordered_pair(X0,X1),singleton(X0))=unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f18,f18])).
% 1.95/0.63  fof(f50,plain,(
% 1.95/0.63    ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))=unordered_pair(ordered_pair(sk0_2,sk0_3),singleton(unordered_pair(sk0_4,sk0_5)))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f31,f49])).
% 1.95/0.63  fof(f56,plain,(
% 1.95/0.63    ordered_pair(unordered_pair(ordered_pair(sk0_2,sk0_3),singleton(unordered_pair(sk0_4,sk0_5))),singleton(ordered_pair(sk0_2,sk0_3)))=unordered_pair(ordered_pair(ordered_pair(sk0_2,sk0_3),singleton(unordered_pair(sk0_4,sk0_5))),singleton(ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f50,f49])).
% 1.95/0.63  fof(f57,plain,(
% 1.95/0.63    ordered_pair(ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4)),singleton(ordered_pair(sk0_2,sk0_3)))=unordered_pair(ordered_pair(ordered_pair(sk0_2,sk0_3),singleton(unordered_pair(sk0_4,sk0_5))),singleton(ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))))),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f50,f56])).
% 1.95/0.63  fof(f58,plain,(
% 1.95/0.63    ordered_pair(ordered_pair(sk0_2,sk0_3),singleton(unordered_pair(sk0_4,sk0_5)))=unordered_pair(ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4)),singleton(ordered_pair(sk0_2,sk0_3)))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f50,f18])).
% 1.95/0.63  fof(f442,plain,(
% 1.95/0.63    ![X0]: (ordered_pair(X0,X0)=unordered_pair(singleton(X0),singleton(X0)))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f33,f18])).
% 1.95/0.63  fof(f443,plain,(
% 1.95/0.63    ![X0]: (ordered_pair(X0,X0)=singleton(singleton(X0)))),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f33,f442])).
% 1.95/0.63  fof(f451,plain,(
% 1.95/0.63    ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(singleton(X0),unordered_pair(X0,X1)))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f18,f17])).
% 1.95/0.63  fof(f485,plain,(
% 1.95/0.63    ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(unordered_pair(X1,X0),singleton(X0)))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f17,f18])).
% 1.95/0.63  fof(f486,plain,(
% 1.95/0.63    ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(singleton(X0),unordered_pair(X1,X0)))),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f17,f485])).
% 1.95/0.63  fof(f524,plain,(
% 1.95/0.63    ![X0,X1,X2]: (~singleton(X0)=unordered_pair(X1,X2)|X0=X2)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f17,f38])).
% 1.95/0.63  fof(f526,plain,(
% 1.95/0.63    ![X0,X1]: (~singleton(X0)=singleton(X1)|X0=X1)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f33,f38])).
% 1.95/0.63  fof(f537,plain,(
% 1.95/0.63    spl0_4 <=> ~singleton(X0)=ordered_pair(ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4)),singleton(ordered_pair(sk0_2,sk0_3)))),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f538,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4)),singleton(ordered_pair(sk0_2,sk0_3)))|~spl0_4)),
% 1.95/0.63    inference(component_clause,[status(thm)],[f537])).
% 1.95/0.63  fof(f540,plain,(
% 1.95/0.63    spl0_5 <=> ordered_pair(ordered_pair(sk0_2,sk0_3),singleton(unordered_pair(sk0_4,sk0_5)))=singleton(ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4)))),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f543,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4)),singleton(ordered_pair(sk0_2,sk0_3)))|ordered_pair(ordered_pair(sk0_2,sk0_3),singleton(unordered_pair(sk0_4,sk0_5)))=singleton(ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f57,f41])).
% 1.95/0.63  fof(f544,plain,(
% 1.95/0.63    spl0_4|spl0_5),
% 1.95/0.63    inference(split_clause,[status(thm)],[f543,f537,f540])).
% 1.95/0.63  fof(f546,plain,(
% 1.95/0.63    spl0_6 <=> ~singleton(X0)=ordered_pair(ordered_pair(sk0_2,sk0_3),singleton(unordered_pair(sk0_4,sk0_5)))),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f547,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(ordered_pair(sk0_2,sk0_3),singleton(unordered_pair(sk0_4,sk0_5)))|~spl0_6)),
% 1.95/0.63    inference(component_clause,[status(thm)],[f546])).
% 1.95/0.63  fof(f549,plain,(
% 1.95/0.63    spl0_7 <=> ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))=singleton(ordered_pair(sk0_2,sk0_3))),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f550,plain,(
% 1.95/0.63    ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))=singleton(ordered_pair(sk0_2,sk0_3))|~spl0_7),
% 1.95/0.63    inference(component_clause,[status(thm)],[f549])).
% 1.95/0.63  fof(f552,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(ordered_pair(sk0_2,sk0_3),singleton(unordered_pair(sk0_4,sk0_5)))|ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))=singleton(ordered_pair(sk0_2,sk0_3)))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f58,f41])).
% 1.95/0.63  fof(f553,plain,(
% 1.95/0.63    spl0_6|spl0_7),
% 1.95/0.63    inference(split_clause,[status(thm)],[f552,f546,f549])).
% 1.95/0.63  fof(f555,plain,(
% 1.95/0.63    spl0_8 <=> ~singleton(X0)=ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f556,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))|~spl0_8)),
% 1.95/0.63    inference(component_clause,[status(thm)],[f555])).
% 1.95/0.63  fof(f558,plain,(
% 1.95/0.63    spl0_9 <=> ordered_pair(sk0_2,sk0_3)=singleton(unordered_pair(sk0_4,sk0_5))),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f559,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_3)=singleton(unordered_pair(sk0_4,sk0_5))|~spl0_9),
% 1.95/0.63    inference(component_clause,[status(thm)],[f558])).
% 1.95/0.63  fof(f561,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))|ordered_pair(sk0_2,sk0_3)=singleton(unordered_pair(sk0_4,sk0_5)))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f50,f41])).
% 1.95/0.63  fof(f562,plain,(
% 1.95/0.63    spl0_8|spl0_9),
% 1.95/0.63    inference(split_clause,[status(thm)],[f561,f555,f558])).
% 1.95/0.63  fof(f564,plain,(
% 1.95/0.63    ![X0,X1,X2]: (~singleton(X0)=ordered_pair(X1,X2)|unordered_pair(X1,X2)=singleton(X1))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f18,f41])).
% 1.95/0.63  fof(f630,plain,(
% 1.95/0.63    ![X0,X1,X2]: (~ordered_pair(X0,X0)=unordered_pair(X1,X2)|X1=X2)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f443,f41])).
% 1.95/0.63  fof(f670,plain,(
% 1.95/0.63    ![X0,X1]: (~ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))=unordered_pair(X0,X1)|ordered_pair(sk0_2,sk0_3)=X0|ordered_pair(sk0_2,sk0_3)=X1)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f50,f28])).
% 1.95/0.63  fof(f673,plain,(
% 1.95/0.63    ![X0,X1,X2,X3]: (~unordered_pair(X0,X1)=unordered_pair(X2,X3)|X1=X2|X1=X3)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f17,f28])).
% 1.95/0.63  fof(f685,plain,(
% 1.95/0.63    ![X0,X1,X2,X3]: (~unordered_pair(X0,X1)=ordered_pair(X2,X3)|X0=unordered_pair(X2,X3)|X0=singleton(X2))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f18,f28])).
% 1.95/0.63  fof(f762,plain,(
% 1.95/0.63    spl0_10 <=> ordered_pair(sk0_2,sk0_3)=ordered_pair(sk0_2,sk0_3)),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f765,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_3)=ordered_pair(sk0_2,sk0_3)|ordered_pair(sk0_2,sk0_3)=singleton(unordered_pair(sk0_4,sk0_5))),
% 1.95/0.63    inference(resolution,[status(thm)],[f670,f50])).
% 1.95/0.63  fof(f766,plain,(
% 1.95/0.63    spl0_10|spl0_9),
% 1.95/0.63    inference(split_clause,[status(thm)],[f765,f762,f558])).
% 1.95/0.63  fof(f767,plain,(
% 1.95/0.63    spl0_11 <=> ordered_pair(sk0_2,sk0_3)=ordered_pair(sk0_4,sk0_5)),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f768,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_3)=ordered_pair(sk0_4,sk0_5)|~spl0_11),
% 1.95/0.63    inference(component_clause,[status(thm)],[f767])).
% 1.95/0.63  fof(f769,plain,(
% 1.95/0.63    ~ordered_pair(sk0_2,sk0_3)=ordered_pair(sk0_4,sk0_5)|spl0_11),
% 1.95/0.63    inference(component_clause,[status(thm)],[f767])).
% 1.95/0.63  fof(f770,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_3)=ordered_pair(sk0_4,sk0_5)|ordered_pair(sk0_2,sk0_3)=singleton(unordered_pair(sk0_4,sk0_5))),
% 1.95/0.63    inference(resolution,[status(thm)],[f670,f49])).
% 1.95/0.63  fof(f771,plain,(
% 1.95/0.63    spl0_11|spl0_9),
% 1.95/0.63    inference(split_clause,[status(thm)],[f770,f767,f558])).
% 1.95/0.63  fof(f772,plain,(
% 1.95/0.63    spl0_12 <=> ordered_pair(sk0_2,sk0_3)=unordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f775,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_3)=singleton(unordered_pair(sk0_4,sk0_5))|ordered_pair(sk0_2,sk0_3)=unordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))),
% 1.95/0.63    inference(resolution,[status(thm)],[f670,f451])).
% 1.95/0.63  fof(f776,plain,(
% 1.95/0.63    spl0_9|spl0_12),
% 1.95/0.63    inference(split_clause,[status(thm)],[f775,f558,f772])).
% 1.95/0.63  fof(f817,plain,(
% 1.95/0.63    spl0_22 <=> ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))=ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f819,plain,(
% 1.95/0.63    ~ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))=ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))|spl0_22),
% 1.95/0.63    inference(component_clause,[status(thm)],[f817])).
% 1.95/0.63  fof(f827,plain,(
% 1.95/0.63    $false|spl0_22),
% 1.95/0.63    inference(trivial_equality_resolution,[status(esa)],[f819])).
% 1.95/0.63  fof(f828,plain,(
% 1.95/0.63    spl0_22),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f827])).
% 1.95/0.63  fof(f836,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(ordered_pair(sk0_2,sk0_3),ordered_pair(sk0_2,sk0_3))|~spl0_9|~spl0_6)),
% 1.95/0.63    inference(backward_demodulation,[status(thm)],[f559,f547])).
% 1.95/0.63  fof(f837,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=singleton(singleton(ordered_pair(sk0_2,sk0_3)))|~spl0_9|~spl0_6)),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f443,f836])).
% 1.95/0.63  fof(f848,plain,(
% 1.95/0.63    ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))=unordered_pair(ordered_pair(sk0_2,sk0_3),ordered_pair(sk0_2,sk0_3))|~spl0_9),
% 1.95/0.63    inference(backward_demodulation,[status(thm)],[f559,f50])).
% 1.95/0.63  fof(f849,plain,(
% 1.95/0.63    ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))=singleton(ordered_pair(sk0_2,sk0_3))|~spl0_9),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f33,f848])).
% 1.95/0.63  fof(f880,plain,(
% 1.95/0.63    ![X0,X1]: (~ordered_pair(sk0_2,sk0_3)=unordered_pair(X0,X1)|X0=X1|~spl0_9)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f559,f41])).
% 1.95/0.63  fof(f902,plain,(
% 1.95/0.63    singleton(sk0_2)=unordered_pair(sk0_2,sk0_3)|~spl0_9),
% 1.95/0.63    inference(resolution,[status(thm)],[f880,f451])).
% 1.95/0.63  fof(f916,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(singleton(ordered_pair(sk0_2,sk0_3)),singleton(ordered_pair(sk0_2,sk0_3)))|~spl0_9|~spl0_4)),
% 1.95/0.63    inference(backward_demodulation,[status(thm)],[f849,f538])).
% 1.95/0.63  fof(f917,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=singleton(singleton(singleton(ordered_pair(sk0_2,sk0_3))))|~spl0_9|~spl0_4)),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f443,f916])).
% 1.95/0.63  fof(f1104,plain,(
% 1.95/0.63    sk0_2=sk0_3|~spl0_9),
% 1.95/0.63    inference(resolution,[status(thm)],[f902,f524])).
% 1.95/0.63  fof(f1111,plain,(
% 1.95/0.63    spl0_23 <=> ~singleton(X0)=singleton(sk0_2)),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f1112,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=singleton(sk0_2)|~spl0_23)),
% 1.95/0.63    inference(component_clause,[status(thm)],[f1111])).
% 1.95/0.63  fof(f1114,plain,(
% 1.95/0.63    spl0_24 <=> sk0_2=sk0_3),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f1115,plain,(
% 1.95/0.63    sk0_2=sk0_3|~spl0_24),
% 1.95/0.63    inference(component_clause,[status(thm)],[f1114])).
% 1.95/0.63  fof(f1117,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=singleton(sk0_2)|sk0_2=sk0_3|~spl0_9)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f902,f41])).
% 1.95/0.63  fof(f1118,plain,(
% 1.95/0.63    spl0_23|spl0_24|~spl0_9),
% 1.95/0.63    inference(split_clause,[status(thm)],[f1117,f1111,f1114,f558])).
% 1.95/0.63  fof(f1189,plain,(
% 1.95/0.63    $false|~spl0_23),
% 1.95/0.63    inference(equality_resolution,[status(esa)],[f1112])).
% 1.95/0.63  fof(f1190,plain,(
% 1.95/0.63    ~spl0_23),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f1189])).
% 1.95/0.63  fof(f1232,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=singleton(singleton(ordered_pair(sk0_2,sk0_2)))|~spl0_9|~spl0_6)),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f1104,f837])).
% 1.95/0.63  fof(f1234,plain,(
% 1.95/0.63    $false|~spl0_9|~spl0_6),
% 1.95/0.63    inference(equality_resolution,[status(esa)],[f1232])).
% 1.95/0.63  fof(f1235,plain,(
% 1.95/0.63    ~spl0_9|~spl0_6),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f1234])).
% 1.95/0.63  fof(f1291,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=singleton(singleton(singleton(ordered_pair(sk0_2,sk0_2))))|~spl0_9|~spl0_4)),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f1104,f917])).
% 1.95/0.63  fof(f1293,plain,(
% 1.95/0.63    $false|~spl0_9|~spl0_4),
% 1.95/0.63    inference(equality_resolution,[status(esa)],[f1291])).
% 1.95/0.63  fof(f1294,plain,(
% 1.95/0.63    ~spl0_9|~spl0_4),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f1293])).
% 1.95/0.63  fof(f1380,plain,(
% 1.95/0.63    spl0_25 <=> ~ordered_pair(X0,X0)=ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f1383,plain,(
% 1.95/0.63    ![X0]: (~ordered_pair(X0,X0)=ordered_pair(unordered_pair(sk0_4,sk0_5),singleton(sk0_4))|ordered_pair(sk0_2,sk0_3)=singleton(unordered_pair(sk0_4,sk0_5)))),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f50,f630])).
% 1.95/0.63  fof(f1384,plain,(
% 1.95/0.63    spl0_25|spl0_9),
% 1.95/0.63    inference(split_clause,[status(thm)],[f1383,f1380,f558])).
% 1.95/0.63  fof(f1561,plain,(
% 1.95/0.63    ![X0,X1,X2]: (~singleton(X0)=ordered_pair(X1,X2)|X1=X2)),
% 1.95/0.63    inference(resolution,[status(thm)],[f564,f524])).
% 1.95/0.63  fof(f1575,plain,(
% 1.95/0.63    ![X0,X1,X2]: (~ordered_pair(X0,X0)=ordered_pair(X1,X2)|X1=X2)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f443,f1561])).
% 1.95/0.63  fof(f1576,plain,(
% 1.95/0.63    spl0_26 <=> ~singleton(X0)=ordered_pair(sk0_2,sk0_3)),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f1577,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(sk0_2,sk0_3)|~spl0_26)),
% 1.95/0.63    inference(component_clause,[status(thm)],[f1576])).
% 1.95/0.63  fof(f1579,plain,(
% 1.95/0.63    spl0_27 <=> sk0_4=sk0_5),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f1580,plain,(
% 1.95/0.63    sk0_4=sk0_5|~spl0_27),
% 1.95/0.63    inference(component_clause,[status(thm)],[f1579])).
% 1.95/0.63  fof(f1582,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(sk0_2,sk0_3)|sk0_4=sk0_5)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f31,f1561])).
% 1.95/0.63  fof(f1583,plain,(
% 1.95/0.63    spl0_26|spl0_27),
% 1.95/0.63    inference(split_clause,[status(thm)],[f1582,f1576,f1579])).
% 1.95/0.63  fof(f1713,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_2)=ordered_pair(sk0_4,sk0_5)|~spl0_24),
% 1.95/0.63    inference(backward_demodulation,[status(thm)],[f1115,f31])).
% 1.95/0.63  fof(f1834,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(sk0_2,sk0_2)|~spl0_24|~spl0_26)),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f1115,f1577])).
% 1.95/0.63  fof(f1837,plain,(
% 1.95/0.63    $false|~spl0_24|~spl0_26),
% 1.95/0.63    inference(resolution,[status(thm)],[f1834,f443])).
% 1.95/0.63  fof(f1838,plain,(
% 1.95/0.63    ~spl0_24|~spl0_26),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f1837])).
% 1.95/0.63  fof(f1841,plain,(
% 1.95/0.63    ![X0,X1]: (~unordered_pair(X0,X1)=ordered_pair(sk0_2,sk0_3)|X0=unordered_pair(sk0_4,sk0_5)|X0=singleton(sk0_4)|~spl0_11)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f768,f685])).
% 1.95/0.63  fof(f1875,plain,(
% 1.95/0.63    $false|~spl0_8|~spl0_7),
% 1.95/0.63    inference(forward_subsumption_resolution,[status(thm)],[f550,f556])).
% 1.95/0.63  fof(f1876,plain,(
% 1.95/0.63    ~spl0_8|~spl0_7),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f1875])).
% 1.95/0.63  fof(f1879,plain,(
% 1.95/0.63    spl0_33 <=> singleton(sk0_2)=unordered_pair(sk0_4,sk0_5)),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f1880,plain,(
% 1.95/0.63    singleton(sk0_2)=unordered_pair(sk0_4,sk0_5)|~spl0_33),
% 1.95/0.63    inference(component_clause,[status(thm)],[f1879])).
% 1.95/0.63  fof(f1881,plain,(
% 1.95/0.63    ~singleton(sk0_2)=unordered_pair(sk0_4,sk0_5)|spl0_33),
% 1.95/0.63    inference(component_clause,[status(thm)],[f1879])).
% 1.95/0.63  fof(f1882,plain,(
% 1.95/0.63    spl0_34 <=> singleton(sk0_2)=singleton(sk0_4)),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f1883,plain,(
% 1.95/0.63    singleton(sk0_2)=singleton(sk0_4)|~spl0_34),
% 1.95/0.63    inference(component_clause,[status(thm)],[f1882])).
% 1.95/0.63  fof(f1885,plain,(
% 1.95/0.63    singleton(sk0_2)=unordered_pair(sk0_4,sk0_5)|singleton(sk0_2)=singleton(sk0_4)|~spl0_11),
% 1.95/0.63    inference(resolution,[status(thm)],[f1841,f486])).
% 1.95/0.63  fof(f1886,plain,(
% 1.95/0.63    spl0_33|spl0_34|~spl0_11),
% 1.95/0.63    inference(split_clause,[status(thm)],[f1885,f1879,f1882,f767])).
% 1.95/0.63  fof(f1889,plain,(
% 1.95/0.63    spl0_35 <=> unordered_pair(sk0_2,sk0_3)=unordered_pair(sk0_4,sk0_5)),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f1890,plain,(
% 1.95/0.63    unordered_pair(sk0_2,sk0_3)=unordered_pair(sk0_4,sk0_5)|~spl0_35),
% 1.95/0.63    inference(component_clause,[status(thm)],[f1889])).
% 1.95/0.63  fof(f1892,plain,(
% 1.95/0.63    spl0_36 <=> unordered_pair(sk0_2,sk0_3)=singleton(sk0_4)),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f1893,plain,(
% 1.95/0.63    unordered_pair(sk0_2,sk0_3)=singleton(sk0_4)|~spl0_36),
% 1.95/0.63    inference(component_clause,[status(thm)],[f1892])).
% 1.95/0.63  fof(f1895,plain,(
% 1.95/0.63    unordered_pair(sk0_2,sk0_3)=unordered_pair(sk0_4,sk0_5)|unordered_pair(sk0_2,sk0_3)=singleton(sk0_4)|~spl0_11),
% 1.95/0.63    inference(resolution,[status(thm)],[f1841,f18])).
% 1.95/0.63  fof(f1896,plain,(
% 1.95/0.63    spl0_35|spl0_36|~spl0_11),
% 1.95/0.63    inference(split_clause,[status(thm)],[f1895,f1889,f1892,f767])).
% 1.95/0.63  fof(f1919,plain,(
% 1.95/0.63    sk0_2=sk0_4|~spl0_33),
% 1.95/0.63    inference(resolution,[status(thm)],[f1880,f38])).
% 1.95/0.63  fof(f1920,plain,(
% 1.95/0.63    $false|spl0_0|~spl0_33),
% 1.95/0.63    inference(forward_subsumption_resolution,[status(thm)],[f1919,f44])).
% 1.95/0.63  fof(f1921,plain,(
% 1.95/0.63    spl0_0|~spl0_33),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f1920])).
% 1.95/0.63  fof(f1923,plain,(
% 1.95/0.63    unordered_pair(sk0_2,sk0_3)=unordered_pair(sk0_2,sk0_5)|~spl0_0|~spl0_35),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f43,f1890])).
% 1.95/0.63  fof(f1924,plain,(
% 1.95/0.63    sk0_3=sk0_2|sk0_3=sk0_5|~spl0_0|~spl0_35),
% 1.95/0.63    inference(resolution,[status(thm)],[f1923,f673])).
% 1.95/0.63  fof(f1925,plain,(
% 1.95/0.63    spl0_24|spl0_1|~spl0_0|~spl0_35),
% 1.95/0.63    inference(split_clause,[status(thm)],[f1924,f1114,f45,f42,f1889])).
% 1.95/0.63  fof(f2003,plain,(
% 1.95/0.63    ~singleton(sk0_2)=unordered_pair(sk0_4,sk0_4)|~spl0_27|spl0_33),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f1580,f1881])).
% 1.95/0.63  fof(f2004,plain,(
% 1.95/0.63    ~singleton(sk0_2)=singleton(sk0_4)|~spl0_27|spl0_33),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f33,f2003])).
% 1.95/0.63  fof(f2005,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_2)=ordered_pair(sk0_4,sk0_4)|~spl0_27|~spl0_24),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f1580,f1713])).
% 1.95/0.63  fof(f2097,plain,(
% 1.95/0.63    $false|~spl0_27|spl0_33|~spl0_34),
% 1.95/0.63    inference(forward_subsumption_resolution,[status(thm)],[f1883,f2004])).
% 1.95/0.63  fof(f2098,plain,(
% 1.95/0.63    ~spl0_27|spl0_33|~spl0_34),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f2097])).
% 1.95/0.63  fof(f2300,plain,(
% 1.95/0.63    spl0_42 <=> ~singleton(X0)=ordered_pair(sk0_4,sk0_5)),
% 1.95/0.63    introduced(split_symbol_definition)).
% 1.95/0.63  fof(f2301,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(sk0_4,sk0_5)|~spl0_42)),
% 1.95/0.63    inference(component_clause,[status(thm)],[f2300])).
% 1.95/0.63  fof(f2303,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(sk0_4,sk0_5)|singleton(sk0_2)=singleton(sk0_4)|~spl0_33)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f1880,f564])).
% 1.95/0.63  fof(f2304,plain,(
% 1.95/0.63    spl0_42|spl0_34|~spl0_33),
% 1.95/0.63    inference(split_clause,[status(thm)],[f2303,f2300,f1882,f1879])).
% 1.95/0.63  fof(f2324,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=singleton(sk0_2)|sk0_4=sk0_5|~spl0_33)),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f1880,f41])).
% 1.95/0.63  fof(f2325,plain,(
% 1.95/0.63    spl0_23|spl0_27|~spl0_33),
% 1.95/0.63    inference(split_clause,[status(thm)],[f2324,f1111,f1579,f1879])).
% 1.95/0.63  fof(f2434,plain,(
% 1.95/0.63    ~sk0_3=sk0_4|~spl0_27|spl0_1),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f1580,f47])).
% 1.95/0.63  fof(f2435,plain,(
% 1.95/0.63    ![X0]: (~singleton(X0)=ordered_pair(sk0_4,sk0_4)|~spl0_27|~spl0_42)),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f1580,f2301])).
% 1.95/0.63  fof(f2436,plain,(
% 1.95/0.63    sk0_2=sk0_5|~spl0_0|~spl0_27),
% 1.95/0.63    inference(backward_demodulation,[status(thm)],[f43,f1580])).
% 1.95/0.63  fof(f2437,plain,(
% 1.95/0.63    ~sk0_3=sk0_2|~spl0_0|~spl0_27|spl0_1),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f43,f2434])).
% 1.95/0.63  fof(f2438,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_3)=ordered_pair(sk0_2,sk0_5)|~spl0_0),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f43,f31])).
% 1.95/0.63  fof(f2942,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_3)=ordered_pair(sk0_2,sk0_2)|~spl0_27|~spl0_0),
% 1.95/0.63    inference(backward_demodulation,[status(thm)],[f2436,f2438])).
% 1.95/0.63  fof(f2949,plain,(
% 1.95/0.63    sk0_2=sk0_3|~spl0_27|~spl0_0),
% 1.95/0.63    inference(resolution,[status(thm)],[f2942,f1575])).
% 1.95/0.63  fof(f2950,plain,(
% 1.95/0.63    $false|spl0_1|~spl0_27|~spl0_0),
% 1.95/0.63    inference(forward_subsumption_resolution,[status(thm)],[f2949,f2437])).
% 1.95/0.63  fof(f2951,plain,(
% 1.95/0.63    spl0_1|~spl0_27|~spl0_0),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f2950])).
% 1.95/0.63  fof(f2952,plain,(
% 1.95/0.63    sk0_2=sk0_4|~spl0_34),
% 1.95/0.63    inference(resolution,[status(thm)],[f1883,f526])).
% 1.95/0.63  fof(f2953,plain,(
% 1.95/0.63    spl0_0|~spl0_34),
% 1.95/0.63    inference(split_clause,[status(thm)],[f2952,f42,f1882])).
% 1.95/0.63  fof(f2993,plain,(
% 1.95/0.63    unordered_pair(sk0_2,sk0_3)=singleton(sk0_2)|~spl0_34|~spl0_36),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f1883,f1893])).
% 1.95/0.63  fof(f3098,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_3)=unordered_pair(singleton(sk0_2),singleton(sk0_2))|~spl0_34|~spl0_36),
% 1.95/0.63    inference(paramodulation,[status(thm)],[f2993,f451])).
% 1.95/0.63  fof(f3099,plain,(
% 1.95/0.63    ordered_pair(sk0_2,sk0_3)=singleton(singleton(sk0_2))|~spl0_34|~spl0_36),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f33,f3098])).
% 1.95/0.63  fof(f3100,plain,(
% 1.95/0.63    $false|~spl0_26|~spl0_34|~spl0_36),
% 1.95/0.63    inference(forward_subsumption_resolution,[status(thm)],[f3099,f1577])).
% 1.95/0.63  fof(f3101,plain,(
% 1.95/0.63    ~spl0_26|~spl0_34|~spl0_36),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f3100])).
% 1.95/0.63  fof(f3102,plain,(
% 1.95/0.63    $false|~spl0_27|~spl0_42),
% 1.95/0.63    inference(resolution,[status(thm)],[f2435,f443])).
% 1.95/0.63  fof(f3103,plain,(
% 1.95/0.63    ~spl0_27|~spl0_42),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f3102])).
% 1.95/0.63  fof(f3106,plain,(
% 1.95/0.63    ~ordered_pair(sk0_2,sk0_2)=ordered_pair(sk0_4,sk0_5)|~spl0_24|spl0_11),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f1115,f769])).
% 1.95/0.63  fof(f3107,plain,(
% 1.95/0.63    ~ordered_pair(sk0_2,sk0_2)=ordered_pair(sk0_4,sk0_4)|~spl0_27|~spl0_24|spl0_11),
% 1.95/0.63    inference(forward_demodulation,[status(thm)],[f1580,f3106])).
% 1.95/0.63  fof(f3108,plain,(
% 1.95/0.63    $false|spl0_11|~spl0_27|~spl0_24),
% 1.95/0.63    inference(forward_subsumption_resolution,[status(thm)],[f2005,f3107])).
% 1.95/0.63  fof(f3109,plain,(
% 1.95/0.63    spl0_11|~spl0_27|~spl0_24),
% 1.95/0.63    inference(contradiction_clause,[status(thm)],[f3108])).
% 1.95/0.63  fof(f3110,plain,(
% 1.95/0.63    $false),
% 1.95/0.63    inference(sat_refutation,[status(thm)],[f48,f544,f553,f562,f766,f771,f776,f828,f1118,f1190,f1235,f1294,f1384,f1583,f1838,f1876,f1886,f1896,f1921,f1925,f2098,f2304,f2325,f2951,f2953,f3101,f3103,f3109])).
% 1.95/0.63  % SZS output end CNFRefutation for theBenchmark.p
% 2.18/0.69  % Elapsed time: 0.323884 seconds
% 2.18/0.69  % CPU time: 2.369548 seconds
% 2.18/0.69  % Total memory used: 172.001 MB
% 2.18/0.69  % Net memory used: 171.114 MB
%------------------------------------------------------------------------------