TSTP Solution File: SEU176+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU176+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:36:08 EDT 2023
% Result : Theorem 73.43s 9.71s
% Output : CNFRefutation 74.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 106 ( 29 unt; 0 def)
% Number of atoms : 209 ( 90 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 184 ( 81 ~; 68 |; 12 &)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 116 (; 114 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [A] : cast_to_subset(A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B] :
( element(B,powerset(A))
=> subset_complement(A,B) = set_difference(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A] : element(cast_to_subset(A),powerset(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [A,B] :
( element(B,powerset(powerset(A)))
=> element(union_of_subsets(A,B),powerset(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [A,B] :
( element(B,powerset(powerset(A)))
=> element(meet_of_subsets(A,B),powerset(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [A,B] :
( element(B,powerset(powerset(A)))
=> element(complements_of_subsets(A,B),powerset(powerset(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [A,B] :
( element(B,powerset(A))
=> subset_complement(A,subset_complement(A,B)) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [A,B] :
( element(B,powerset(powerset(A)))
=> complements_of_subsets(A,complements_of_subsets(A,B)) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,lemma,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [A,B] :
( element(B,powerset(powerset(A)))
=> union_of_subsets(A,B) = union(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [A,B] :
( element(B,powerset(powerset(A)))
=> meet_of_subsets(A,B) = set_meet(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [A,B,C] :
( ( element(B,powerset(A))
& element(C,powerset(A)) )
=> subset_difference(A,B,C) = set_difference(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f108,lemma,
! [A,B] :
( element(B,powerset(powerset(A)))
=> ~ ( B != empty_set
& complements_of_subsets(A,B) = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f110,lemma,
! [A,B] :
( element(B,powerset(powerset(A)))
=> ( B != empty_set
=> subset_difference(A,cast_to_subset(A),union_of_subsets(A,B)) = meet_of_subsets(A,complements_of_subsets(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f111,conjecture,
! [A,B] :
( element(B,powerset(powerset(A)))
=> ( B != empty_set
=> union_of_subsets(A,complements_of_subsets(A,B)) = subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,negated_conjecture,
~ ! [A,B] :
( element(B,powerset(powerset(A)))
=> ( B != empty_set
=> union_of_subsets(A,complements_of_subsets(A,B)) = subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)) ) ),
inference(negated_conjecture,[status(cth)],[f111]) ).
fof(f128,lemma,
! [A,B] :
( disjoint(A,B)
<=> set_difference(A,B) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f229,plain,
! [X0] : cast_to_subset(X0) = X0,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f248,plain,
! [A,B] :
( ~ element(B,powerset(A))
| subset_complement(A,B) = set_difference(A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f249,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset_complement(X1,X0) = set_difference(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f268,plain,
! [X0] : element(cast_to_subset(X0),powerset(X0)),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f271,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| element(union_of_subsets(A,B),powerset(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f272,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| element(union_of_subsets(X1,X0),powerset(X1)) ),
inference(cnf_transformation,[status(esa)],[f271]) ).
fof(f273,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| element(meet_of_subsets(A,B),powerset(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f39]) ).
fof(f274,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| element(meet_of_subsets(X1,X0),powerset(X1)) ),
inference(cnf_transformation,[status(esa)],[f273]) ).
fof(f277,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| element(complements_of_subsets(A,B),powerset(powerset(A))) ),
inference(pre_NNF_transformation,[status(esa)],[f41]) ).
fof(f278,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| element(complements_of_subsets(X1,X0),powerset(powerset(X1))) ),
inference(cnf_transformation,[status(esa)],[f277]) ).
fof(f294,plain,
! [A,B] :
( ~ element(B,powerset(A))
| subset_complement(A,subset_complement(A,B)) = B ),
inference(pre_NNF_transformation,[status(esa)],[f51]) ).
fof(f295,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset_complement(X1,subset_complement(X1,X0)) = X0 ),
inference(cnf_transformation,[status(esa)],[f294]) ).
fof(f296,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| complements_of_subsets(A,complements_of_subsets(A,B)) = B ),
inference(pre_NNF_transformation,[status(esa)],[f52]) ).
fof(f297,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| complements_of_subsets(X1,complements_of_subsets(X1,X0)) = X0 ),
inference(cnf_transformation,[status(esa)],[f296]) ).
fof(f311,plain,
! [A,B] :
( ( set_difference(A,B) != empty_set
| subset(A,B) )
& ( set_difference(A,B) = empty_set
| ~ subset(A,B) ) ),
inference(NNF_transformation,[status(esa)],[f59]) ).
fof(f312,plain,
( ! [A,B] :
( set_difference(A,B) != empty_set
| subset(A,B) )
& ! [A,B] :
( set_difference(A,B) = empty_set
| ~ subset(A,B) ) ),
inference(miniscoping,[status(esa)],[f311]) ).
fof(f314,plain,
! [X0,X1] :
( set_difference(X0,X1) = empty_set
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f312]) ).
fof(f347,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| union_of_subsets(A,B) = union(B) ),
inference(pre_NNF_transformation,[status(esa)],[f70]) ).
fof(f348,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| union_of_subsets(X1,X0) = union(X0) ),
inference(cnf_transformation,[status(esa)],[f347]) ).
fof(f349,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| meet_of_subsets(A,B) = set_meet(B) ),
inference(pre_NNF_transformation,[status(esa)],[f71]) ).
fof(f350,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| meet_of_subsets(X1,X0) = set_meet(X0) ),
inference(cnf_transformation,[status(esa)],[f349]) ).
fof(f351,plain,
! [A,B,C] :
( ~ element(B,powerset(A))
| ~ element(C,powerset(A))
| subset_difference(A,B,C) = set_difference(B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f72]) ).
fof(f352,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(X1))
| ~ element(X2,powerset(X1))
| subset_difference(X1,X0,X2) = set_difference(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f351]) ).
fof(f431,plain,
! [A,B] :
( ( ~ element(A,powerset(B))
| subset(A,B) )
& ( element(A,powerset(B))
| ~ subset(A,B) ) ),
inference(NNF_transformation,[status(esa)],[f102]) ).
fof(f432,plain,
( ! [A,B] :
( ~ element(A,powerset(B))
| subset(A,B) )
& ! [A,B] :
( element(A,powerset(B))
| ~ subset(A,B) ) ),
inference(miniscoping,[status(esa)],[f431]) ).
fof(f433,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f432]) ).
fof(f450,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| B = empty_set
| complements_of_subsets(A,B) != empty_set ),
inference(pre_NNF_transformation,[status(esa)],[f108]) ).
fof(f451,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| X0 = empty_set
| complements_of_subsets(X1,X0) != empty_set ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f454,plain,
! [A,B] :
( ~ element(B,powerset(powerset(A)))
| B = empty_set
| subset_difference(A,cast_to_subset(A),union_of_subsets(A,B)) = meet_of_subsets(A,complements_of_subsets(A,B)) ),
inference(pre_NNF_transformation,[status(esa)],[f110]) ).
fof(f455,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| X0 = empty_set
| subset_difference(X1,cast_to_subset(X1),union_of_subsets(X1,X0)) = meet_of_subsets(X1,complements_of_subsets(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f454]) ).
fof(f456,plain,
? [A,B] :
( element(B,powerset(powerset(A)))
& B != empty_set
& union_of_subsets(A,complements_of_subsets(A,B)) != subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)) ),
inference(pre_NNF_transformation,[status(esa)],[f112]) ).
fof(f457,plain,
( element(sk0_30,powerset(powerset(sk0_29)))
& sk0_30 != empty_set
& union_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30)) != subset_difference(sk0_29,cast_to_subset(sk0_29),meet_of_subsets(sk0_29,sk0_30)) ),
inference(skolemization,[status(esa)],[f456]) ).
fof(f458,plain,
element(sk0_30,powerset(powerset(sk0_29))),
inference(cnf_transformation,[status(esa)],[f457]) ).
fof(f459,plain,
sk0_30 != empty_set,
inference(cnf_transformation,[status(esa)],[f457]) ).
fof(f460,plain,
union_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30)) != subset_difference(sk0_29,cast_to_subset(sk0_29),meet_of_subsets(sk0_29,sk0_30)),
inference(cnf_transformation,[status(esa)],[f457]) ).
fof(f497,plain,
! [A,B] :
( ( ~ disjoint(A,B)
| set_difference(A,B) = A )
& ( disjoint(A,B)
| set_difference(A,B) != A ) ),
inference(NNF_transformation,[status(esa)],[f128]) ).
fof(f498,plain,
( ! [A,B] :
( ~ disjoint(A,B)
| set_difference(A,B) = A )
& ! [A,B] :
( disjoint(A,B)
| set_difference(A,B) != A ) ),
inference(miniscoping,[status(esa)],[f497]) ).
fof(f499,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| set_difference(X0,X1) = X0 ),
inference(cnf_transformation,[status(esa)],[f498]) ).
fof(f500,plain,
! [X0,X1] :
( disjoint(X0,X1)
| set_difference(X0,X1) != X0 ),
inference(cnf_transformation,[status(esa)],[f498]) ).
fof(f535,plain,
! [X0] : element(X0,powerset(X0)),
inference(forward_demodulation,[status(thm)],[f229,f268]) ).
fof(f537,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| X0 = empty_set
| subset_difference(X1,X1,union_of_subsets(X1,X0)) = meet_of_subsets(X1,complements_of_subsets(X1,X0)) ),
inference(forward_demodulation,[status(thm)],[f229,f455]) ).
fof(f538,plain,
union_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30)) != subset_difference(sk0_29,sk0_29,meet_of_subsets(sk0_29,sk0_30)),
inference(forward_demodulation,[status(thm)],[f229,f460]) ).
fof(f542,plain,
subset(sk0_30,powerset(sk0_29)),
inference(resolution,[status(thm)],[f433,f458]) ).
fof(f547,plain,
meet_of_subsets(sk0_29,sk0_30) = set_meet(sk0_30),
inference(resolution,[status(thm)],[f350,f458]) ).
fof(f549,plain,
union_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30)) != subset_difference(sk0_29,sk0_29,set_meet(sk0_30)),
inference(backward_demodulation,[status(thm)],[f547,f538]) ).
fof(f550,plain,
complements_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30)) = sk0_30,
inference(resolution,[status(thm)],[f297,f458]) ).
fof(f552,plain,
( spl0_0
<=> sk0_30 = empty_set ),
introduced(split_symbol_definition) ).
fof(f555,plain,
( spl0_1
<=> complements_of_subsets(sk0_29,sk0_30) = empty_set ),
introduced(split_symbol_definition) ).
fof(f558,plain,
( sk0_30 = empty_set
| complements_of_subsets(sk0_29,sk0_30) != empty_set ),
inference(resolution,[status(thm)],[f451,f458]) ).
fof(f559,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f558,f552,f555]) ).
fof(f779,plain,
element(meet_of_subsets(sk0_29,sk0_30),powerset(sk0_29)),
inference(resolution,[status(thm)],[f274,f458]) ).
fof(f780,plain,
element(set_meet(sk0_30),powerset(sk0_29)),
inference(forward_demodulation,[status(thm)],[f547,f779]) ).
fof(f1057,plain,
element(complements_of_subsets(sk0_29,sk0_30),powerset(powerset(sk0_29))),
inference(resolution,[status(thm)],[f278,f458]) ).
fof(f1097,plain,
set_difference(sk0_30,powerset(sk0_29)) = empty_set,
inference(resolution,[status(thm)],[f314,f542]) ).
fof(f1311,plain,
( spl0_60
<=> disjoint(sk0_30,powerset(sk0_29)) ),
introduced(split_symbol_definition) ).
fof(f1312,plain,
( disjoint(sk0_30,powerset(sk0_29))
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f1311]) ).
fof(f1314,plain,
( disjoint(sk0_30,powerset(sk0_29))
| empty_set != sk0_30 ),
inference(paramodulation,[status(thm)],[f1097,f500]) ).
fof(f1315,plain,
( spl0_60
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1314,f1311,f552]) ).
fof(f1316,plain,
( set_difference(sk0_30,powerset(sk0_29)) = sk0_30
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f1312,f499]) ).
fof(f1317,plain,
( empty_set = sk0_30
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f1097,f1316]) ).
fof(f1318,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1317,f459]) ).
fof(f1319,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f1318]) ).
fof(f1357,plain,
element(union_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30)),powerset(sk0_29)),
inference(resolution,[status(thm)],[f1057,f272]) ).
fof(f1367,plain,
union_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30)) = union(complements_of_subsets(sk0_29,sk0_30)),
inference(resolution,[status(thm)],[f1057,f348]) ).
fof(f1373,plain,
element(union(complements_of_subsets(sk0_29,sk0_30)),powerset(sk0_29)),
inference(backward_demodulation,[status(thm)],[f1367,f1357]) ).
fof(f1612,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset_difference(X1,X1,X0) = set_difference(X1,X0) ),
inference(resolution,[status(thm)],[f352,f535]) ).
fof(f1744,plain,
subset_complement(sk0_29,set_meet(sk0_30)) = set_difference(sk0_29,set_meet(sk0_30)),
inference(resolution,[status(thm)],[f249,f780]) ).
fof(f2035,plain,
subset_complement(sk0_29,union(complements_of_subsets(sk0_29,sk0_30))) = set_difference(sk0_29,union(complements_of_subsets(sk0_29,sk0_30))),
inference(resolution,[status(thm)],[f1373,f249]) ).
fof(f2213,plain,
( spl0_105
<=> subset_difference(sk0_29,sk0_29,union_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30))) = meet_of_subsets(sk0_29,complements_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30))) ),
introduced(split_symbol_definition) ).
fof(f2214,plain,
( subset_difference(sk0_29,sk0_29,union_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30))) = meet_of_subsets(sk0_29,complements_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30)))
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f2213]) ).
fof(f2216,plain,
( complements_of_subsets(sk0_29,sk0_30) = empty_set
| subset_difference(sk0_29,sk0_29,union_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30))) = meet_of_subsets(sk0_29,complements_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30))) ),
inference(resolution,[status(thm)],[f537,f1057]) ).
fof(f2217,plain,
( spl0_1
| spl0_105 ),
inference(split_clause,[status(thm)],[f2216,f555,f2213]) ).
fof(f2279,plain,
( subset_difference(sk0_29,sk0_29,union(complements_of_subsets(sk0_29,sk0_30))) = meet_of_subsets(sk0_29,complements_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30)))
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f1367,f2214]) ).
fof(f2280,plain,
( subset_difference(sk0_29,sk0_29,union(complements_of_subsets(sk0_29,sk0_30))) = meet_of_subsets(sk0_29,sk0_30)
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f550,f2279]) ).
fof(f2281,plain,
( subset_difference(sk0_29,sk0_29,union(complements_of_subsets(sk0_29,sk0_30))) = set_meet(sk0_30)
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f547,f2280]) ).
fof(f2319,plain,
subset_complement(sk0_29,subset_complement(sk0_29,union(complements_of_subsets(sk0_29,sk0_30)))) = union(complements_of_subsets(sk0_29,sk0_30)),
inference(resolution,[status(thm)],[f295,f1373]) ).
fof(f2320,plain,
subset_complement(sk0_29,set_difference(sk0_29,union(complements_of_subsets(sk0_29,sk0_30)))) = union(complements_of_subsets(sk0_29,sk0_30)),
inference(forward_demodulation,[status(thm)],[f2035,f2319]) ).
fof(f4847,plain,
subset_difference(sk0_29,sk0_29,set_meet(sk0_30)) = set_difference(sk0_29,set_meet(sk0_30)),
inference(resolution,[status(thm)],[f1612,f780]) ).
fof(f4848,plain,
subset_difference(sk0_29,sk0_29,union(complements_of_subsets(sk0_29,sk0_30))) = set_difference(sk0_29,union(complements_of_subsets(sk0_29,sk0_30))),
inference(resolution,[status(thm)],[f1612,f1373]) ).
fof(f4849,plain,
( set_meet(sk0_30) = set_difference(sk0_29,union(complements_of_subsets(sk0_29,sk0_30)))
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f2281,f4848]) ).
fof(f5124,plain,
( subset_complement(sk0_29,set_meet(sk0_30)) = union(complements_of_subsets(sk0_29,sk0_30))
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f4849,f2320]) ).
fof(f5408,plain,
( union(complements_of_subsets(sk0_29,sk0_30)) = set_difference(sk0_29,set_meet(sk0_30))
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f5124,f1744]) ).
fof(f5410,plain,
( subset_difference(sk0_29,sk0_29,set_meet(sk0_30)) = union(complements_of_subsets(sk0_29,sk0_30))
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f5408,f4847]) ).
fof(f22775,plain,
( union_of_subsets(sk0_29,complements_of_subsets(sk0_29,sk0_30)) != union(complements_of_subsets(sk0_29,sk0_30))
| ~ spl0_105 ),
inference(paramodulation,[status(thm)],[f5410,f549]) ).
fof(f22776,plain,
( union(complements_of_subsets(sk0_29,sk0_30)) != union(complements_of_subsets(sk0_29,sk0_30))
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f1367,f22775]) ).
fof(f22777,plain,
( $false
| ~ spl0_105 ),
inference(trivial_equality_resolution,[status(esa)],[f22776]) ).
fof(f22778,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f22777]) ).
fof(f22779,plain,
$false,
inference(sat_refutation,[status(thm)],[f559,f1315,f1319,f2217,f22778]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SEU176+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:15:38 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 73.43/9.71 % Refutation found
% 73.43/9.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 73.43/9.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 74.55/9.79 % Elapsed time: 9.456578 seconds
% 74.55/9.79 % CPU time: 74.318404 seconds
% 74.55/9.79 % Memory used: 460.409 MB
%------------------------------------------------------------------------------