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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU141+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:21:46 PM UTC 2026

% Result   : Theorem 22.26s 3.23s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU141+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  % Computer : n016.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Mon Sep 21 05:56:53 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.14/0.38  % Drodi V4.1.1
% 22.26/3.23  % Refutation found
% 22.26/3.23  % SZS status Theorem for theBenchmark: Theorem is valid
% 22.26/3.23  % SZS output start CNFRefutation for theBenchmark
% 22.26/3.23  fof(f2,axiom,(
% 22.26/3.23    (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 22.26/3.23    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.26/3.23  fof(f5,axiom,(
% 22.26/3.23    (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 22.26/3.23    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.26/3.23  fof(f6,axiom,(
% 22.26/3.23    (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 22.26/3.23    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.26/3.23  fof(f7,axiom,(
% 22.26/3.23    (! [A,B] :( disjoint(A,B)<=> set_intersection2(A,B) = empty_set ) )),
% 22.26/3.23    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.26/3.23  fof(f16,axiom,(
% 22.26/3.23    (! [A,B] :( disjoint(A,B)=> disjoint(B,A) ) )),
% 22.26/3.23    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.26/3.23  fof(f17,axiom,(
% 22.26/3.23    (! [A] : set_intersection2(A,empty_set) = empty_set )),
% 22.26/3.23    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.26/3.23  fof(f20,axiom,(
% 22.26/3.23    (! [A,B] :( ~ ( ~ disjoint(A,B)& (! [C] : ~ in(C,set_intersection2(A,B)) ))& ~ ( (? [C] : in(C,set_intersection2(A,B)))& disjoint(A,B) ) ) )),
% 22.26/3.23    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.26/3.23  fof(f23,conjecture,(
% 22.26/3.23    (! [A,B] :( disjoint(A,B)<=> set_difference(A,B) = A ) )),
% 22.26/3.23    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 22.26/3.23  fof(f24,negated_conjecture,(
% 22.26/3.23    ~((! [A,B] :( disjoint(A,B)<=> set_difference(A,B) = A ) ))),
% 22.26/3.23    inference(negated_conjecture,[status(cth)],[f23])).
% 22.26/3.23  fof(f28,plain,(
% 22.26/3.23    ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f2])).
% 22.26/3.23  fof(f41,plain,(
% 22.26/3.23    ![A,B,C]: ((~C=set_intersection2(A,B)|(![D]: ((~in(D,C)|(in(D,A)&in(D,B)))&(in(D,C)|(~in(D,A)|~in(D,B))))))&(C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 22.26/3.23    inference(NNF_transformation,[status(thm)],[f5])).
% 22.26/3.23  fof(f42,plain,(
% 22.26/3.23    (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 22.26/3.23    inference(miniscoping,[status(thm)],[f41])).
% 22.26/3.23  fof(f43,plain,(
% 22.26/3.23    (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|((~in(sK1_skl(C,B,A),C)|(~in(sK1_skl(C,B,A),A)|~in(sK1_skl(C,B,A),B)))&(in(sK1_skl(C,B,A),C)|(in(sK1_skl(C,B,A),A)&in(sK1_skl(C,B,A),B))))))),
% 22.26/3.23    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f42])).
% 22.26/3.23  fof(f44,plain,(
% 22.26/3.23    ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f43])).
% 22.26/3.23  fof(f46,plain,(
% 22.26/3.23    ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|in(X3,X0)|~in(X3,X1)|~in(X3,X2))),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f43])).
% 22.26/3.23  fof(f50,plain,(
% 22.26/3.23    ![A,B,C]: ((~C=set_difference(A,B)|(![D]: ((~in(D,C)|(in(D,A)&~in(D,B)))&(in(D,C)|(~in(D,A)|in(D,B))))))&(C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 22.26/3.23    inference(NNF_transformation,[status(thm)],[f6])).
% 22.26/3.23  fof(f51,plain,(
% 22.26/3.23    (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 22.26/3.23    inference(miniscoping,[status(thm)],[f50])).
% 22.26/3.23  fof(f52,plain,(
% 22.26/3.23    (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|((~in(sK2_skl(C,B,A),C)|(~in(sK2_skl(C,B,A),A)|in(sK2_skl(C,B,A),B)))&(in(sK2_skl(C,B,A),C)|(in(sK2_skl(C,B,A),A)&~in(sK2_skl(C,B,A),B))))))),
% 22.26/3.23    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(D,sK2_skl(C,B,A))],[f51])).
% 22.26/3.23  fof(f53,plain,(
% 22.26/3.23    ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f52])).
% 22.26/3.23  fof(f54,plain,(
% 22.26/3.23    ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|~in(X3,X2))),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f52])).
% 22.26/3.23  fof(f56,plain,(
% 22.26/3.23    ![X0,X1,X2]: (X0=set_difference(X1,X2)|~in(sK2_skl(X0,X2,X1),X0)|~in(sK2_skl(X0,X2,X1),X1)|in(sK2_skl(X0,X2,X1),X2))),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f52])).
% 22.26/3.23  fof(f57,plain,(
% 22.26/3.23    ![X0,X1,X2]: (X0=set_difference(X1,X2)|in(sK2_skl(X0,X2,X1),X0)|in(sK2_skl(X0,X2,X1),X1))),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f52])).
% 22.26/3.23  fof(f59,plain,(
% 22.26/3.23    ![A,B]: ((~disjoint(A,B)|set_intersection2(A,B)=empty_set)&(disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 22.26/3.23    inference(NNF_transformation,[status(thm)],[f7])).
% 22.26/3.23  fof(f60,plain,(
% 22.26/3.23    (![A,B]: (~disjoint(A,B)|set_intersection2(A,B)=empty_set))&(![A,B]: (disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 22.26/3.23    inference(miniscoping,[status(thm)],[f59])).
% 22.26/3.23  fof(f61,plain,(
% 22.26/3.23    ![X0,X1]: (~disjoint(X0,X1)|set_intersection2(X0,X1)=empty_set)),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f60])).
% 22.26/3.23  fof(f62,plain,(
% 22.26/3.23    ![X0,X1]: (disjoint(X0,X1)|~set_intersection2(X0,X1)=empty_set)),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f60])).
% 22.26/3.23  fof(f72,plain,(
% 22.26/3.23    ![A,B]: (~disjoint(A,B)|disjoint(B,A))),
% 22.26/3.23    inference(pre_NNF_transformation,[status(thm)],[f16])).
% 22.26/3.23  fof(f73,plain,(
% 22.26/3.23    ![X0,X1]: (~disjoint(X0,X1)|disjoint(X1,X0))),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f72])).
% 22.26/3.23  fof(f74,plain,(
% 22.26/3.23    ![X0]: (set_intersection2(X0,empty_set)=empty_set)),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f17])).
% 22.26/3.23  fof(f77,plain,(
% 22.26/3.23    ![A,B]: ((disjoint(A,B)|(?[C]: in(C,set_intersection2(A,B))))&((![C]: ~in(C,set_intersection2(A,B)))|~disjoint(A,B)))),
% 22.26/3.23    inference(pre_NNF_transformation,[status(thm)],[f20])).
% 22.26/3.23  fof(f78,plain,(
% 22.26/3.23    (![A,B]: (disjoint(A,B)|(?[C]: in(C,set_intersection2(A,B)))))&(![A,B]: ((![C]: ~in(C,set_intersection2(A,B)))|~disjoint(A,B)))),
% 22.26/3.23    inference(miniscoping,[status(thm)],[f77])).
% 22.26/3.23  fof(f79,plain,(
% 22.26/3.23    (![A,B]: (disjoint(A,B)|in(sK5_skl(B,A),set_intersection2(A,B))))&(![A,B]: ((![C]: ~in(C,set_intersection2(A,B)))|~disjoint(A,B)))),
% 22.26/3.23    inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(C,sK5_skl(B,A))],[f78])).
% 22.26/3.23  fof(f80,plain,(
% 22.26/3.23    ![X0,X1]: (disjoint(X0,X1)|in(sK5_skl(X1,X0),set_intersection2(X0,X1)))),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f79])).
% 22.26/3.23  fof(f81,plain,(
% 22.26/3.23    ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|~disjoint(X1,X2))),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f79])).
% 22.26/3.23  fof(f87,plain,(
% 22.26/3.23    (?[A,B]: (disjoint(A,B)<~>set_difference(A,B)=A))),
% 22.26/3.23    inference(pre_NNF_transformation,[status(thm)],[f24])).
% 22.26/3.23  fof(f88,plain,(
% 22.26/3.23    ?[A,B]: ((disjoint(A,B)|set_difference(A,B)=A)&(~disjoint(A,B)|~set_difference(A,B)=A))),
% 22.26/3.23    inference(NNF_transformation,[status(thm)],[f87])).
% 22.26/3.23  fof(f89,plain,(
% 22.26/3.23    ((disjoint(sK6_skl,sK7_skl)|set_difference(sK6_skl,sK7_skl)=sK6_skl)&(~disjoint(sK6_skl,sK7_skl)|~set_difference(sK6_skl,sK7_skl)=sK6_skl))),
% 22.26/3.23    inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(A,sK6_skl),skolemize(B,sK7_skl)],[f88])).
% 22.26/3.23  fof(f90,plain,(
% 22.26/3.23    disjoint(sK6_skl,sK7_skl)|set_difference(sK6_skl,sK7_skl)=sK6_skl),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f89])).
% 22.26/3.23  fof(f91,plain,(
% 22.26/3.23    ~disjoint(sK6_skl,sK7_skl)|~set_difference(sK6_skl,sK7_skl)=sK6_skl),
% 22.26/3.23    inference(cnf_transformation,[status(thm)],[f89])).
% 22.26/3.23  fof(f97,plain,(
% 22.26/3.23    ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X1))),
% 22.26/3.23    inference(destructive_equality_resolution,[status(thm)],[f44])).
% 22.26/3.23  fof(f99,plain,(
% 22.26/3.23    ![X0,X1,X2]: (in(X0,set_intersection2(X1,X2))|~in(X0,X1)|~in(X0,X2))),
% 22.26/3.23    inference(destructive_equality_resolution,[status(thm)],[f46])).
% 22.26/3.23  fof(f100,plain,(
% 22.26/3.23    ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|in(X0,X1))),
% 22.26/3.23    inference(destructive_equality_resolution,[status(thm)],[f53])).
% 22.26/3.23  fof(f101,plain,(
% 22.26/3.23    ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|~in(X0,X2))),
% 22.26/3.23    inference(destructive_equality_resolution,[status(thm)],[f54])).
% 22.26/3.23  fof(f107,plain,(
% 22.26/3.23    ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|~disjoint(X2,X1))),
% 22.26/3.23    inference(paramodulation,[status(thm)],[f28,f81])).
% 22.26/3.23  fof(f108,plain,(
% 22.26/3.23    ![X0,X1]: (disjoint(X0,X1)|~set_intersection2(X1,X0)=empty_set)),
% 22.26/3.23    inference(paramodulation,[status(thm)],[f28,f62])).
% 22.26/3.23  fof(f122,plain,(
% 22.26/3.23    ![X0]: (disjoint(X0,empty_set))),
% 22.26/3.23    inference(resolution,[status(thm)],[f74,f62])).
% 22.26/3.23  fof(f133,plain,(
% 22.26/3.23    ![X0]: (disjoint(empty_set,X0))),
% 22.26/3.23    inference(resolution,[status(thm)],[f122,f73])).
% 22.26/3.23  fof(f142,plain,(
% 22.26/3.23    set_difference(sK6_skl,sK7_skl)=sK6_skl|set_intersection2(sK6_skl,sK7_skl)=empty_set),
% 22.26/3.23    inference(resolution,[status(thm)],[f90,f61])).
% 22.26/3.23  fof(f143,plain,(
% 22.26/3.23    set_difference(sK6_skl,sK7_skl)=sK6_skl|disjoint(sK7_skl,sK6_skl)),
% 22.26/3.23    inference(resolution,[status(thm)],[f90,f73])).
% 22.26/3.23  fof(f144,plain,(
% 22.26/3.23    set_difference(sK6_skl,sK7_skl)=sK6_skl|set_intersection2(sK7_skl,sK6_skl)=empty_set),
% 22.26/3.23    inference(resolution,[status(thm)],[f143,f61])).
% 22.26/3.23  fof(f151,plain,(
% 22.26/3.23    set_intersection2(sK7_skl,sK6_skl)=empty_set|~disjoint(sK6_skl,sK7_skl)),
% 22.26/3.23    inference(resolution,[status(thm)],[f144,f91])).
% 22.26/3.23  fof(f155,plain,(
% 22.26/3.23    ![X0]: (~in(X0,sK6_skl)|~in(X0,sK7_skl)|set_intersection2(sK7_skl,sK6_skl)=empty_set)),
% 22.26/3.23    inference(paramodulation,[status(thm)],[f144,f101])).
% 22.26/3.23  fof(f703,plain,(
% 22.26/3.23    ![X0,X1]: (disjoint(X0,X1)|in(sK5_skl(X1,X0),set_intersection2(X1,X0)))),
% 22.26/3.23    inference(paramodulation,[status(thm)],[f28,f80])).
% 22.26/3.23  fof(f947,plain,(
% 22.26/3.23    ![X0,X1]: (X0=set_difference(X0,X1)|in(sK2_skl(X0,X1,X0),X0))),
% 22.26/3.23    inference(factoring,[status(thm)],[f57])).
% 22.26/3.23  fof(f1272,plain,(
% 22.26/3.23    ![X0,X1]: (X0=set_difference(X0,X1)|~in(sK2_skl(X0,X1,X0),X0)|in(sK2_skl(X0,X1,X0),X1)|X0=set_difference(X0,X1))),
% 22.26/3.23    inference(resolution,[status(thm)],[f56,f947])).
% 22.26/3.23  fof(f1280,plain,(
% 22.26/3.23    ![X0,X1]: (X0=set_difference(X0,X1)|~in(sK2_skl(X0,X1,X0),X0)|in(sK2_skl(X0,X1,X0),X1))),
% 22.26/3.23    inference(duplicate_literals_removal,[status(thm)],[f1272])).
% 22.26/3.23  fof(f1281,plain,(
% 22.26/3.23    ![X0,X1]: (X0=set_difference(X0,X1)|in(sK2_skl(X0,X1,X0),X1))),
% 22.26/3.23    inference(forward_subsumption_resolution,[status(thm)],[f1280,f947])).
% 22.26/3.23  fof(f1791,plain,(
% 22.26/3.23    ![X0,X1]: (~in(X0,empty_set)|~disjoint(empty_set,X1))),
% 22.26/3.23    inference(paramodulation,[status(thm)],[f74,f107])).
% 22.26/3.23  fof(f1795,plain,(
% 22.26/3.23    ![X0]: (~in(X0,empty_set))),
% 22.26/3.23    inference(forward_subsumption_resolution,[status(thm)],[f1791,f133])).
% 22.26/3.23  fof(f2079,plain,(
% 22.26/3.23    ![X0,X1]: (in(sK5_skl(X0,X1),X0)|disjoint(X1,X0))),
% 22.26/3.23    inference(resolution,[status(thm)],[f97,f703])).
% 22.26/3.23  fof(f2080,plain,(
% 22.26/3.23    ![X0,X1]: (in(sK5_skl(X0,X1),X1)|disjoint(X1,X0))),
% 22.26/3.23    inference(resolution,[status(thm)],[f97,f80])).
% 22.26/3.23  fof(f2156,plain,(
% 22.26/3.23    ![X0,X1,X2]: (in(sK2_skl(X0,X1,X0),set_intersection2(X2,X0))|~in(sK2_skl(X0,X1,X0),X2)|X0=set_difference(X0,X1))),
% 22.26/3.23    inference(resolution,[status(thm)],[f99,f57])).
% 22.26/3.23  fof(f3530,plain,(
% 22.26/3.23    ![X0]: (disjoint(X0,sK7_skl)|~in(sK5_skl(sK7_skl,X0),sK6_skl)|set_intersection2(sK7_skl,sK6_skl)=empty_set)),
% 22.26/3.23    inference(resolution,[status(thm)],[f2079,f155])).
% 22.26/3.23  fof(f3562,plain,(
% 22.26/3.23    ![X0,X1,X2]: (disjoint(set_difference(X0,X1),X2)|in(sK5_skl(X2,set_difference(X0,X1)),X0))),
% 22.26/3.23    inference(resolution,[status(thm)],[f2080,f100])).
% 22.26/3.23  fof(f5927,plain,(
% 22.26/3.23    ![X0]: (disjoint(set_difference(sK6_skl,X0),sK7_skl)|set_intersection2(sK7_skl,sK6_skl)=empty_set|disjoint(set_difference(sK6_skl,X0),sK7_skl))),
% 22.26/3.23    inference(resolution,[status(thm)],[f3530,f3562])).
% 22.26/3.23  fof(f5932,plain,(
% 22.26/3.23    disjoint(sK6_skl,sK7_skl)|set_intersection2(sK7_skl,sK6_skl)=empty_set|disjoint(sK6_skl,sK7_skl)),
% 22.26/3.23    inference(resolution,[status(thm)],[f3530,f2080])).
% 22.26/3.23  fof(f5933,plain,(
% 22.26/3.23    ![X0]: (disjoint(set_difference(sK6_skl,X0),sK7_skl)|set_intersection2(sK7_skl,sK6_skl)=empty_set)),
% 22.26/3.23    inference(duplicate_literals_removal,[status(thm)],[f5927])).
% 22.26/3.23  fof(f5936,plain,(
% 22.26/3.23    disjoint(sK6_skl,sK7_skl)|set_intersection2(sK7_skl,sK6_skl)=empty_set),
% 22.26/3.23    inference(duplicate_literals_removal,[status(thm)],[f5932])).
% 22.26/3.23  fof(f5937,plain,(
% 22.26/3.23    set_intersection2(sK7_skl,sK6_skl)=empty_set),
% 22.26/3.23    inference(forward_subsumption_resolution,[status(thm)],[f5936,f151])).
% 22.26/3.23  fof(f5948,plain,(
% 22.26/3.23    disjoint(sK6_skl,sK7_skl)|set_intersection2(sK7_skl,sK6_skl)=empty_set|set_intersection2(sK6_skl,sK7_skl)=empty_set),
% 22.26/3.23    inference(paramodulation,[status(thm)],[f142,f5933])).
% 22.26/3.23  fof(f5954,plain,(
% 22.26/3.23    set_intersection2(sK7_skl,sK6_skl)=empty_set|set_intersection2(sK6_skl,sK7_skl)=empty_set),
% 22.26/3.23    inference(forward_subsumption_resolution,[status(thm)],[f5948,f151])).
% 22.26/3.23  fof(f5956,plain,(
% 22.26/3.23    set_intersection2(sK6_skl,sK7_skl)=empty_set|disjoint(sK6_skl,sK7_skl)),
% 22.26/3.26    inference(resolution,[status(thm)],[f5954,f108])).
% 22.26/3.26  fof(f6004,plain,(
% 22.26/3.26    disjoint(sK6_skl,sK7_skl)),
% 22.26/3.26    inference(forward_subsumption_resolution,[status(thm)],[f5956,f62])).
% 22.26/3.26  fof(f8492,plain,(
% 22.26/3.26    ~set_difference(sK6_skl,sK7_skl)=sK6_skl),
% 22.26/3.26    inference(backward_subsumption_resolution,[status(thm)],[f91,f6004])).
% 22.26/3.26  fof(f13149,plain,(
% 22.26/3.26    ![X0,X1]: (in(sK2_skl(X0,X1,X0),set_intersection2(X1,X0))|X0=set_difference(X0,X1)|X0=set_difference(X0,X1))),
% 22.26/3.26    inference(resolution,[status(thm)],[f2156,f1281])).
% 22.26/3.26  fof(f13206,plain,(
% 22.26/3.26    ![X0,X1]: (in(sK2_skl(X0,X1,X0),set_intersection2(X1,X0))|X0=set_difference(X0,X1))),
% 22.26/3.26    inference(duplicate_literals_removal,[status(thm)],[f13149])).
% 22.26/3.26  fof(f18009,plain,(
% 22.26/3.26    in(sK2_skl(sK6_skl,sK7_skl,sK6_skl),empty_set)|sK6_skl=set_difference(sK6_skl,sK7_skl)),
% 22.26/3.26    inference(paramodulation,[status(thm)],[f5937,f13206])).
% 22.26/3.26  fof(f18024,plain,(
% 22.26/3.26    sK6_skl=set_difference(sK6_skl,sK7_skl)),
% 22.26/3.26    inference(forward_subsumption_resolution,[status(thm)],[f18009,f1795])).
% 22.26/3.26  fof(f19447,plain,(
% 22.26/3.26    $false),
% 22.26/3.26    inference(forward_subsumption_resolution,[status(thm)],[f18024,f8492])).
% 22.26/3.26  % SZS output end CNFRefutation for theBenchmark.p
% 22.26/3.28  % Elapsed time: 2.896623 seconds
% 22.26/3.28  % CPU time: 22.673545 seconds
% 22.26/3.28  % Total memory used: 284.919 MB
% 22.26/3.28  % Net memory used: 265.775 MB
%------------------------------------------------------------------------------