TSTP Solution File: SEU106+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU106+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 12:35:50 EDT 2023

% Result   : Theorem 4.56s 0.95s
% Output   : CNFRefutation 4.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU106+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 09:17:43 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 4.56/0.95  % Refutation found
% 4.56/0.95  % SZS status Theorem for theBenchmark: Theorem is valid
% 4.56/0.95  % SZS output start CNFRefutation for theBenchmark
% 4.56/0.95  fof(f2,axiom,(
% 4.56/0.95    (! [A] :( empty(A)=> finite(A) ) )),
% 4.56/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/0.95  fof(f7,axiom,(
% 4.56/0.95    (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 4.56/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/0.95  fof(f8,axiom,(
% 4.56/0.95    (! [A,B] : symmetric_difference(A,B) = symmetric_difference(B,A) )),
% 4.56/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/0.95  fof(f16,axiom,(
% 4.56/0.95    empty(empty_set) ),
% 4.56/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/0.95  fof(f20,axiom,(
% 4.56/0.95    (! [A,B] : set_union2(A,A) = A )),
% 4.56/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/0.95  fof(f32,axiom,(
% 4.56/0.95    (! [A,B] : set_difference(A,B) = symmetric_difference(A,set_intersection2(A,B)) )),
% 4.56/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/0.95  fof(f33,axiom,(
% 4.56/0.95    (! [A] :( preboolean(A)<=> (! [B,C] :( ( in(B,A)& in(C,A) )=> ( in(set_union2(B,C),A)& in(set_difference(B,C),A) ) ) )) )),
% 4.56/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/0.95  fof(f34,conjecture,(
% 4.56/0.95    (! [A] :( ~ empty(A)=> ( (! [B] :( element(B,A)=> (! [C] :( element(C,A)=> ( in(symmetric_difference(B,C),A)& in(set_union2(B,C),A) ) ) )))=> preboolean(A) ) ) )),
% 4.56/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/0.95  fof(f35,negated_conjecture,(
% 4.56/0.95    ~((! [A] :( ~ empty(A)=> ( (! [B] :( element(B,A)=> (! [C] :( element(C,A)=> ( in(symmetric_difference(B,C),A)& in(set_union2(B,C),A) ) ) )))=> preboolean(A) ) ) ))),
% 4.56/0.95    inference(negated_conjecture,[status(cth)],[f34])).
% 4.56/0.95  fof(f37,axiom,(
% 4.56/0.95    (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 4.56/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/0.95  fof(f42,axiom,(
% 4.56/0.95    (! [A] : set_difference(empty_set,A) = empty_set )),
% 4.56/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/0.95  fof(f49,axiom,(
% 4.56/0.95    (! [A,B] : set_intersection2(A,B) = symmetric_difference(symmetric_difference(A,B),set_union2(A,B)) )),
% 4.56/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/0.95  fof(f52,plain,(
% 4.56/0.95    ![A]: (~empty(A)|finite(A))),
% 4.56/0.95    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 4.56/0.95  fof(f53,plain,(
% 4.56/0.95    ![X0]: (~empty(X0)|finite(X0))),
% 4.56/0.95    inference(cnf_transformation,[status(esa)],[f52])).
% 4.56/0.95  fof(f62,plain,(
% 4.56/0.95    ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 4.56/0.95    inference(cnf_transformation,[status(esa)],[f7])).
% 4.56/0.95  fof(f63,plain,(
% 4.56/0.95    ![X0,X1]: (symmetric_difference(X0,X1)=symmetric_difference(X1,X0))),
% 4.56/0.95    inference(cnf_transformation,[status(esa)],[f8])).
% 4.56/0.95  fof(f79,plain,(
% 4.56/0.95    empty(empty_set)),
% 4.56/0.95    inference(cnf_transformation,[status(esa)],[f16])).
% 4.56/0.95  fof(f88,plain,(
% 4.56/0.95    ![A]: set_union2(A,A)=A),
% 4.56/0.95    inference(miniscoping,[status(esa)],[f20])).
% 4.56/0.95  fof(f89,plain,(
% 4.56/0.95    ![X0]: (set_union2(X0,X0)=X0)),
% 4.56/0.95    inference(cnf_transformation,[status(esa)],[f88])).
% 4.56/0.95  fof(f135,plain,(
% 4.56/0.95    ![X0,X1]: (set_difference(X0,X1)=symmetric_difference(X0,set_intersection2(X0,X1)))),
% 4.56/0.95    inference(cnf_transformation,[status(esa)],[f32])).
% 4.56/0.95  fof(f136,plain,(
% 4.56/0.95    ![A]: (preboolean(A)<=>(![B,C]: ((~in(B,A)|~in(C,A))|(in(set_union2(B,C),A)&in(set_difference(B,C),A)))))),
% 4.56/0.95    inference(pre_NNF_transformation,[status(esa)],[f33])).
% 4.56/0.95  fof(f137,plain,(
% 4.56/0.95    ![A]: ((~preboolean(A)|(![B,C]: ((~in(B,A)|~in(C,A))|(in(set_union2(B,C),A)&in(set_difference(B,C),A)))))&(preboolean(A)|(?[B,C]: ((in(B,A)&in(C,A))&(~in(set_union2(B,C),A)|~in(set_difference(B,C),A))))))),
% 4.56/0.95    inference(NNF_transformation,[status(esa)],[f136])).
% 4.56/0.95  fof(f138,plain,(
% 4.56/0.95    (![A]: (~preboolean(A)|(![B,C]: ((~in(B,A)|~in(C,A))|(in(set_union2(B,C),A)&in(set_difference(B,C),A))))))&(![A]: (preboolean(A)|(?[B,C]: ((in(B,A)&in(C,A))&(~in(set_union2(B,C),A)|~in(set_difference(B,C),A))))))),
% 4.56/0.95    inference(miniscoping,[status(esa)],[f137])).
% 4.56/0.95  fof(f139,plain,(
% 4.56/0.95    (![A]: (~preboolean(A)|(![B,C]: ((~in(B,A)|~in(C,A))|(in(set_union2(B,C),A)&in(set_difference(B,C),A))))))&(![A]: (preboolean(A)|((in(sk0_10(A),A)&in(sk0_11(A),A))&(~in(set_union2(sk0_10(A),sk0_11(A)),A)|~in(set_difference(sk0_10(A),sk0_11(A)),A)))))),
% 4.56/0.95    inference(skolemization,[status(esa)],[f138])).
% 4.56/0.95  fof(f142,plain,(
% 4.56/0.95    ![X0]: (preboolean(X0)|in(sk0_10(X0),X0))),
% 4.56/0.96    inference(cnf_transformation,[status(esa)],[f139])).
% 4.56/0.96  fof(f143,plain,(
% 4.56/0.96    ![X0]: (preboolean(X0)|in(sk0_11(X0),X0))),
% 4.56/0.96    inference(cnf_transformation,[status(esa)],[f139])).
% 4.56/0.96  fof(f144,plain,(
% 4.56/0.96    ![X0]: (preboolean(X0)|~in(set_union2(sk0_10(X0),sk0_11(X0)),X0)|~in(set_difference(sk0_10(X0),sk0_11(X0)),X0))),
% 4.56/0.96    inference(cnf_transformation,[status(esa)],[f139])).
% 4.56/0.96  fof(f145,plain,(
% 4.56/0.96    (?[A]: (~empty(A)&((![B]: (~element(B,A)|(![C]: (~element(C,A)|(in(symmetric_difference(B,C),A)&in(set_union2(B,C),A))))))&~preboolean(A))))),
% 4.56/0.96    inference(pre_NNF_transformation,[status(esa)],[f35])).
% 4.56/0.96  fof(f146,plain,(
% 4.56/0.96    (~empty(sk0_12)&((![B]: (~element(B,sk0_12)|(![C]: (~element(C,sk0_12)|(in(symmetric_difference(B,C),sk0_12)&in(set_union2(B,C),sk0_12))))))&~preboolean(sk0_12)))),
% 4.56/0.96    inference(skolemization,[status(esa)],[f145])).
% 4.56/0.96  fof(f148,plain,(
% 4.56/0.96    ![X0,X1]: (~element(X0,sk0_12)|~element(X1,sk0_12)|in(symmetric_difference(X0,X1),sk0_12))),
% 4.56/0.96    inference(cnf_transformation,[status(esa)],[f146])).
% 4.56/0.96  fof(f149,plain,(
% 4.56/0.96    ![X0,X1]: (~element(X0,sk0_12)|~element(X1,sk0_12)|in(set_union2(X0,X1),sk0_12))),
% 4.56/0.96    inference(cnf_transformation,[status(esa)],[f146])).
% 4.56/0.96  fof(f150,plain,(
% 4.56/0.96    ~preboolean(sk0_12)),
% 4.56/0.96    inference(cnf_transformation,[status(esa)],[f146])).
% 4.56/0.96  fof(f152,plain,(
% 4.56/0.96    ![A,B]: (~in(A,B)|element(A,B))),
% 4.56/0.96    inference(pre_NNF_transformation,[status(esa)],[f37])).
% 4.56/0.96  fof(f153,plain,(
% 4.56/0.96    ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 4.56/0.96    inference(cnf_transformation,[status(esa)],[f152])).
% 4.56/0.96  fof(f162,plain,(
% 4.56/0.96    ![X0]: (set_difference(empty_set,X0)=empty_set)),
% 4.56/0.96    inference(cnf_transformation,[status(esa)],[f42])).
% 4.56/0.96  fof(f178,plain,(
% 4.56/0.96    ![X0,X1]: (set_intersection2(X0,X1)=symmetric_difference(symmetric_difference(X0,X1),set_union2(X0,X1)))),
% 4.56/0.96    inference(cnf_transformation,[status(esa)],[f49])).
% 4.56/0.96  fof(f179,plain,(
% 4.56/0.96    ![X0]: (~element(X0,sk0_12)|~element(X0,sk0_12)|in(X0,sk0_12))),
% 4.56/0.96    inference(paramodulation,[status(thm)],[f89,f149])).
% 4.56/0.96  fof(f180,plain,(
% 4.56/0.96    ![X0]: (~element(X0,sk0_12)|in(X0,sk0_12))),
% 4.56/0.96    inference(duplicate_literals_removal,[status(esa)],[f179])).
% 4.56/0.96  fof(f215,plain,(
% 4.56/0.96    ![X0,X1]: (element(set_union2(X0,X1),sk0_12)|~element(X0,sk0_12)|~element(X1,sk0_12))),
% 4.56/0.96    inference(resolution,[status(thm)],[f153,f149])).
% 4.56/0.96  fof(f216,plain,(
% 4.56/0.96    ![X0,X1]: (element(symmetric_difference(X0,X1),sk0_12)|~element(X0,sk0_12)|~element(X1,sk0_12))),
% 4.56/0.96    inference(resolution,[status(thm)],[f153,f148])).
% 4.56/0.96  fof(f233,plain,(
% 4.56/0.96    finite(empty_set)),
% 4.56/0.96    inference(resolution,[status(thm)],[f53,f79])).
% 4.56/0.96  fof(f296,plain,(
% 4.56/0.96    spl0_10 <=> preboolean(sk0_12)),
% 4.56/0.96    introduced(split_symbol_definition)).
% 4.56/0.96  fof(f297,plain,(
% 4.56/0.96    preboolean(sk0_12)|~spl0_10),
% 4.56/0.96    inference(component_clause,[status(thm)],[f296])).
% 4.56/0.96  fof(f1735,plain,(
% 4.56/0.96    spl0_16 <=> ~empty(X0)),
% 4.56/0.96    introduced(split_symbol_definition)).
% 4.56/0.96  fof(f1736,plain,(
% 4.56/0.96    ![X0]: (~empty(X0)|~spl0_16)),
% 4.56/0.96    inference(component_clause,[status(thm)],[f1735])).
% 4.56/0.96  fof(f2130,plain,(
% 4.56/0.96    spl0_17 <=> ~finite(X0)),
% 4.56/0.96    introduced(split_symbol_definition)).
% 4.56/0.96  fof(f2131,plain,(
% 4.56/0.96    ![X0]: (~finite(X0)|~spl0_17)),
% 4.56/0.96    inference(component_clause,[status(thm)],[f2130])).
% 4.56/0.96  fof(f3110,plain,(
% 4.56/0.96    ![X0]: (preboolean(X0)|element(sk0_10(X0),X0))),
% 4.56/0.96    inference(resolution,[status(thm)],[f142,f153])).
% 4.56/0.96  fof(f3129,plain,(
% 4.56/0.96    ![X0]: (preboolean(X0)|element(sk0_11(X0),X0))),
% 4.56/0.96    inference(resolution,[status(thm)],[f143,f153])).
% 4.56/0.96  fof(f3153,plain,(
% 4.56/0.96    spl0_28 <=> in(sk0_10(sk0_12),sk0_12)),
% 4.56/0.96    introduced(split_symbol_definition)).
% 4.56/0.96  fof(f3154,plain,(
% 4.56/0.96    in(sk0_10(sk0_12),sk0_12)|~spl0_28),
% 4.56/0.96    inference(component_clause,[status(thm)],[f3153])).
% 4.56/0.96  fof(f3156,plain,(
% 4.56/0.96    preboolean(sk0_12)|in(sk0_10(sk0_12),sk0_12)),
% 4.56/0.96    inference(resolution,[status(thm)],[f3110,f180])).
% 4.56/0.96  fof(f3157,plain,(
% 4.56/0.96    spl0_10|spl0_28),
% 4.56/0.96    inference(split_clause,[status(thm)],[f3156,f296,f3153])).
% 4.56/0.96  fof(f3159,plain,(
% 4.56/0.96    element(sk0_10(sk0_12),sk0_12)|~spl0_28),
% 4.56/0.96    inference(resolution,[status(thm)],[f3154,f153])).
% 4.56/0.96  fof(f3203,plain,(
% 4.56/0.96    spl0_34 <=> in(sk0_11(sk0_12),sk0_12)),
% 4.56/0.96    introduced(split_symbol_definition)).
% 4.56/0.96  fof(f3204,plain,(
% 4.56/0.96    in(sk0_11(sk0_12),sk0_12)|~spl0_34),
% 4.56/0.96    inference(component_clause,[status(thm)],[f3203])).
% 4.56/0.96  fof(f3206,plain,(
% 4.56/0.96    preboolean(sk0_12)|in(sk0_11(sk0_12),sk0_12)),
% 4.56/0.96    inference(resolution,[status(thm)],[f3129,f180])).
% 4.56/0.96  fof(f3207,plain,(
% 4.56/0.96    spl0_10|spl0_34),
% 4.56/0.96    inference(split_clause,[status(thm)],[f3206,f296,f3203])).
% 4.56/0.96  fof(f3209,plain,(
% 4.56/0.96    $false|~spl0_10),
% 4.56/0.96    inference(forward_subsumption_resolution,[status(thm)],[f297,f150])).
% 4.56/0.96  fof(f3210,plain,(
% 4.56/0.96    ~spl0_10),
% 4.56/0.96    inference(contradiction_clause,[status(thm)],[f3209])).
% 4.56/0.96  fof(f3218,plain,(
% 4.56/0.96    element(sk0_11(sk0_12),sk0_12)|~spl0_34),
% 4.56/0.96    inference(resolution,[status(thm)],[f3204,f153])).
% 4.56/0.96  fof(f3559,plain,(
% 4.56/0.96    ![X0,X1]: (~element(X0,sk0_12)|~element(set_intersection2(X0,X1),sk0_12)|in(set_difference(X0,X1),sk0_12))),
% 4.56/0.96    inference(paramodulation,[status(thm)],[f135,f148])).
% 4.56/0.96  fof(f4271,plain,(
% 4.56/0.96    ![X0,X1]: (~element(X0,sk0_12)|~element(set_intersection2(X1,X0),sk0_12)|in(set_difference(X0,X1),sk0_12))),
% 4.56/0.96    inference(paramodulation,[status(thm)],[f62,f3559])).
% 4.56/0.96  fof(f4369,plain,(
% 4.56/0.96    $false|~spl0_17),
% 4.56/0.96    inference(backward_subsumption_resolution,[status(thm)],[f233,f2131])).
% 4.56/0.96  fof(f4370,plain,(
% 4.56/0.96    ~spl0_17),
% 4.56/0.96    inference(contradiction_clause,[status(thm)],[f4369])).
% 4.56/0.96  fof(f5522,plain,(
% 4.56/0.96    spl0_71 <=> ~empty(set_difference(empty_set,X0))),
% 4.56/0.96    introduced(split_symbol_definition)).
% 4.56/0.96  fof(f5523,plain,(
% 4.56/0.96    ![X0]: (~empty(set_difference(empty_set,X0))|~spl0_71)),
% 4.56/0.96    inference(component_clause,[status(thm)],[f5522])).
% 4.56/0.96  fof(f5534,plain,(
% 4.56/0.96    ~empty(empty_set)|~spl0_71),
% 4.56/0.96    inference(forward_demodulation,[status(thm)],[f162,f5523])).
% 4.56/0.96  fof(f5535,plain,(
% 4.56/0.96    $false|~spl0_71),
% 4.56/0.96    inference(forward_subsumption_resolution,[status(thm)],[f5534,f79])).
% 4.56/0.96  fof(f5536,plain,(
% 4.56/0.96    ~spl0_71),
% 4.56/0.96    inference(contradiction_clause,[status(thm)],[f5535])).
% 4.56/0.96  fof(f5678,plain,(
% 4.56/0.96    ![X0,X1]: (set_intersection2(X0,X1)=symmetric_difference(set_union2(X0,X1),symmetric_difference(X0,X1)))),
% 4.56/0.96    inference(forward_demodulation,[status(thm)],[f63,f178])).
% 4.56/0.96  fof(f5749,plain,(
% 4.56/0.96    ![X0,X1]: (element(set_intersection2(X0,X1),sk0_12)|~element(set_union2(X0,X1),sk0_12)|~element(symmetric_difference(X0,X1),sk0_12))),
% 4.56/0.96    inference(paramodulation,[status(thm)],[f5678,f216])).
% 4.56/0.96  fof(f5804,plain,(
% 4.56/0.96    spl0_82 <=> in(set_union2(sk0_10(sk0_12),sk0_11(sk0_12)),sk0_12)),
% 4.56/0.96    introduced(split_symbol_definition)).
% 4.56/0.96  fof(f5806,plain,(
% 4.56/0.96    ~in(set_union2(sk0_10(sk0_12),sk0_11(sk0_12)),sk0_12)|spl0_82),
% 4.56/0.96    inference(component_clause,[status(thm)],[f5804])).
% 4.56/0.96  fof(f5834,plain,(
% 4.56/0.96    spl0_86 <=> element(sk0_10(sk0_12),sk0_12)),
% 4.56/0.96    introduced(split_symbol_definition)).
% 4.56/0.96  fof(f5836,plain,(
% 4.56/0.96    ~element(sk0_10(sk0_12),sk0_12)|spl0_86),
% 4.56/0.96    inference(component_clause,[status(thm)],[f5834])).
% 4.56/0.96  fof(f5837,plain,(
% 4.56/0.96    spl0_87 <=> element(sk0_11(sk0_12),sk0_12)),
% 4.56/0.96    introduced(split_symbol_definition)).
% 4.56/0.96  fof(f5839,plain,(
% 4.56/0.96    ~element(sk0_11(sk0_12),sk0_12)|spl0_87),
% 4.56/0.96    inference(component_clause,[status(thm)],[f5837])).
% 4.56/0.96  fof(f5840,plain,(
% 4.56/0.96    ~element(sk0_10(sk0_12),sk0_12)|~element(sk0_11(sk0_12),sk0_12)|spl0_82),
% 4.56/0.96    inference(resolution,[status(thm)],[f5806,f149])).
% 4.56/0.96  fof(f5841,plain,(
% 4.56/0.96    ~spl0_86|~spl0_87|spl0_82),
% 4.56/0.96    inference(split_clause,[status(thm)],[f5840,f5834,f5837,f5804])).
% 4.56/0.96  fof(f5844,plain,(
% 4.56/0.96    $false|~spl0_34|spl0_87),
% 4.56/0.96    inference(forward_subsumption_resolution,[status(thm)],[f5839,f3218])).
% 4.56/0.96  fof(f5845,plain,(
% 4.56/0.96    ~spl0_34|spl0_87),
% 4.56/0.96    inference(contradiction_clause,[status(thm)],[f5844])).
% 4.56/0.96  fof(f5846,plain,(
% 4.56/0.96    $false|~spl0_28|spl0_86),
% 4.56/0.96    inference(forward_subsumption_resolution,[status(thm)],[f5836,f3159])).
% 4.56/0.96  fof(f5847,plain,(
% 4.56/0.96    ~spl0_28|spl0_86),
% 4.56/0.96    inference(contradiction_clause,[status(thm)],[f5846])).
% 4.56/0.96  fof(f5882,plain,(
% 4.56/0.96    $false|~spl0_16),
% 4.56/0.96    inference(backward_subsumption_resolution,[status(thm)],[f79,f1736])).
% 4.56/0.96  fof(f5883,plain,(
% 4.56/0.96    ~spl0_16),
% 4.56/0.96    inference(contradiction_clause,[status(thm)],[f5882])).
% 4.56/0.96  fof(f5897,plain,(
% 4.56/0.96    ![X0,X1]: (element(set_intersection2(X0,X1),sk0_12)|~element(set_union2(X0,X1),sk0_12)|~element(X0,sk0_12)|~element(X1,sk0_12))),
% 4.56/0.96    inference(resolution,[status(thm)],[f5749,f216])).
% 4.56/0.96  fof(f5898,plain,(
% 4.56/0.96    ![X0,X1]: (element(set_intersection2(X0,X1),sk0_12)|~element(X0,sk0_12)|~element(X1,sk0_12))),
% 4.56/0.96    inference(forward_subsumption_resolution,[status(thm)],[f5897,f215])).
% 4.56/0.96  fof(f5921,plain,(
% 4.56/0.96    ![X0,X1]: (~element(X0,sk0_12)|~element(X1,sk0_12)|~element(X1,sk0_12)|in(set_difference(X1,X0),sk0_12))),
% 4.56/0.97    inference(resolution,[status(thm)],[f5898,f4271])).
% 4.56/0.97  fof(f5922,plain,(
% 4.56/0.97    ![X0,X1]: (~element(X0,sk0_12)|~element(X1,sk0_12)|in(set_difference(X1,X0),sk0_12))),
% 4.56/0.97    inference(duplicate_literals_removal,[status(esa)],[f5921])).
% 4.56/0.97  fof(f5944,plain,(
% 4.56/0.97    ~element(sk0_11(sk0_12),sk0_12)|~element(sk0_10(sk0_12),sk0_12)|preboolean(sk0_12)|~in(set_union2(sk0_10(sk0_12),sk0_11(sk0_12)),sk0_12)),
% 4.56/0.97    inference(resolution,[status(thm)],[f5922,f144])).
% 4.56/0.97  fof(f5945,plain,(
% 4.56/0.97    ~spl0_87|~spl0_86|spl0_10|~spl0_82),
% 4.56/0.97    inference(split_clause,[status(thm)],[f5944,f5837,f5834,f296,f5804])).
% 4.56/0.97  fof(f5968,plain,(
% 4.56/0.97    $false),
% 4.56/0.97    inference(sat_refutation,[status(thm)],[f3157,f3207,f3210,f4370,f5536,f5841,f5845,f5847,f5883,f5945])).
% 4.56/0.97  % SZS output end CNFRefutation for theBenchmark.p
% 4.56/0.97  % Elapsed time: 0.620340 seconds
% 4.56/0.97  % CPU time: 4.792874 seconds
% 4.56/0.97  % Memory used: 121.286 MB
%------------------------------------------------------------------------------