TSTP Solution File: SET601+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET601+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 : Fri May 3 03:00:54 EDT 2024
% Result : Theorem 24.82s 4.29s
% Output : CNFRefutation 24.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 87 ( 24 unt; 0 def)
% Number of atoms : 218 ( 38 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 229 ( 98 ~; 105 |; 20 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 145 ( 12 sgn 86 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : union(union(X0,X1),X2) = union(X0,union(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_union) ).
fof(f3,axiom,
! [X0,X1,X2] : intersection(intersection(X0,X1),X2) = intersection(X0,intersection(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_intersection) ).
fof(f5,axiom,
! [X0,X1,X2] : union(X0,intersection(X1,X2)) = intersection(union(X0,X1),union(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_distributes_over_intersection) ).
fof(f6,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f7,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f9,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f10,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f13,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f14,conjecture,
! [X0,X1,X2] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) = intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th72) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) = intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0)),
inference(negated_conjecture,[],[f14]) ).
fof(f17,plain,
? [X0,X1,X2] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) != intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0)),
inference(ennf_transformation,[],[f15]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f20]) ).
fof(f28,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f29,f30]) ).
fof(f32,plain,
( ? [X0,X1,X2] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) != intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0))
=> union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)) != intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)) != intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f17,f32]) ).
fof(f34,plain,
! [X2,X0,X1] : union(union(X0,X1),X2) = union(X0,union(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
fof(f36,plain,
! [X2,X0,X1] : intersection(intersection(X0,X1),X2) = intersection(X0,intersection(X1,X2)),
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
! [X2,X0,X1] : union(X0,intersection(X1,X2)) = intersection(union(X0,X1),union(X0,X2)),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X2,X0,X1] :
( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f44,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f48,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f56,plain,
! [X0,X1] :
( X0 = X1
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f57,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f58,plain,
union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)) != intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),
inference(cnf_transformation,[],[f33]) ).
cnf(c_49,plain,
union(union(X0,X1),X2) = union(X0,union(X1,X2)),
inference(cnf_transformation,[],[f34]) ).
cnf(c_51,plain,
intersection(intersection(X0,X1),X2) = intersection(X0,intersection(X1,X2)),
inference(cnf_transformation,[],[f36]) ).
cnf(c_53,plain,
intersection(union(X0,X1),union(X0,X2)) = union(X0,intersection(X1,X2)),
inference(cnf_transformation,[],[f38]) ).
cnf(c_54,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_55,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_56,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_57,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_58,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_59,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_63,plain,
union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f48]) ).
cnf(c_64,plain,
intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f49]) ).
cnf(c_69,plain,
( ~ member(sK1(X0,X1),X0)
| ~ member(sK1(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_70,plain,
( X0 = X1
| member(sK1(X0,X1),X0)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_71,negated_conjecture,
union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)) != intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)),
inference(cnf_transformation,[],[f58]) ).
cnf(c_87,negated_conjecture,
union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))) != intersection(union(sK2,sK3),intersection(union(sK2,sK4),union(sK3,sK4))),
inference(theory_normalisation,[status(thm)],[c_71,c_51,c_64,c_49,c_63]) ).
cnf(c_224,plain,
union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))) != intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4))),
inference(ac_demodulation,[status(thm)],[c_87,c_53,c_49,c_63,c_51,c_64]) ).
cnf(c_781,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))))
| ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4))))
| union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))) = intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_821,plain,
( union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))) = intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_942,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(intersection(sK2,sK4),intersection(sK3,sK4)))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_1078,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4))))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_1079,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4))))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK2,intersection(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_1153,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(intersection(sK2,sK4),intersection(sK3,sK4)))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK2,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2265,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK3,sK4))
| ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),X0)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(union(sK3,sK4),X0)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2273,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK3,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK3)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK4) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2343,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK2,intersection(sK3,sK4)))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK3,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK2) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_4880,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK2,sK3))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK2) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_4881,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK2,sK3))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_8053,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK3)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK3,X0)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_8209,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK2)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK2,X0)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_8773,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK3,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(X0,intersection(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_8774,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK3,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK2,intersection(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_8773]) ).
cnf(c_8779,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK3,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK4) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_13752,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK2,intersection(sK3,sK4)))
| ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK3,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))) ),
inference(instantiation,[status(thm)],[c_2265]) ).
cnf(c_18789,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK4)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(X0,sK4)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_18852,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),X0)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(X0,X1)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_18860,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(X0,X1))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_24558,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),X0),union(intersection(sK2,sK4),intersection(sK3,sK4)))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),X0),union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4)))) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_28922,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK3,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(intersection(sK2,sK4),intersection(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_8773]) ).
cnf(c_36828,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK3)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_8053]) ).
cnf(c_36829,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK4)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_18789]) ).
cnf(c_37930,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK2)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(sK2,intersection(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_8209]) ).
cnf(c_47306,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(intersection(sK2,sK4),intersection(sK3,sK4)))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4)))) ),
inference(instantiation,[status(thm)],[c_24558]) ).
cnf(c_50652,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK2,sK3))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4)))) ),
inference(instantiation,[status(thm)],[c_18852]) ).
cnf(c_50653,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK2,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),union(intersection(sK2,sK4),intersection(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_18852]) ).
cnf(c_51514,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(X0,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK4) ),
inference(instantiation,[status(thm)],[c_18860]) ).
cnf(c_51515,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK2,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK4) ),
inference(instantiation,[status(thm)],[c_51514]) ).
cnf(c_85050,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),X0)
| ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),X1)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(X0,X1)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_85057,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(X0,X1))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_86000,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK2)
| ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK3)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_85050]) ).
cnf(c_89086,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK2)
| ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK4)
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK2,sK4)) ),
inference(instantiation,[status(thm)],[c_85050]) ).
cnf(c_93079,plain,
( ~ member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),intersection(sK2,sK4))
| member(sK1(union(intersection(sK2,sK3),union(intersection(sK2,sK4),intersection(sK3,sK4))),intersection(union(sK3,sK4),union(sK2,intersection(sK3,sK4)))),sK2) ),
inference(instantiation,[status(thm)],[c_85057]) ).
cnf(c_93649,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_93079,c_89086,c_86000,c_51515,c_50653,c_50652,c_47306,c_37930,c_36829,c_36828,c_28922,c_13752,c_8779,c_8774,c_4880,c_4881,c_2343,c_2273,c_1153,c_1078,c_1079,c_942,c_821,c_781,c_224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET601+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 20:30:26 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.82/4.29 % SZS status Started for theBenchmark.p
% 24.82/4.29 % SZS status Theorem for theBenchmark.p
% 24.82/4.29
% 24.82/4.29 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.82/4.29
% 24.82/4.29 ------ iProver source info
% 24.82/4.29
% 24.82/4.29 git: date: 2024-05-02 19:28:25 +0000
% 24.82/4.29 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.82/4.29 git: non_committed_changes: false
% 24.82/4.29
% 24.82/4.29 ------ Parsing...
% 24.82/4.29 ------ Clausification by vclausify_rel & Parsing by iProver...
% 24.82/4.29
% 24.82/4.29 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 24.82/4.29
% 24.82/4.29 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 24.82/4.29
% 24.82/4.29 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.82/4.29 ------ Proving...
% 24.82/4.29 ------ Problem Properties
% 24.82/4.29
% 24.82/4.29
% 24.82/4.29 clauses 21
% 24.82/4.29 conjectures 0
% 24.82/4.29 EPR 3
% 24.82/4.29 Horn 18
% 24.82/4.29 unary 9
% 24.82/4.29 binary 6
% 24.82/4.29 lits 39
% 24.82/4.29 lits eq 11
% 24.82/4.29 fd_pure 0
% 24.82/4.29 fd_pseudo 0
% 24.82/4.29 fd_cond 0
% 24.82/4.29 fd_pseudo_cond 3
% 24.82/4.29 AC symbols 2
% 24.82/4.29
% 24.82/4.29 ------ Schedule dynamic 5 is on
% 24.82/4.29
% 24.82/4.29 ------ no conjectures: strip conj schedule
% 24.82/4.29
% 24.82/4.29 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 24.82/4.29
% 24.82/4.29
% 24.82/4.29 ------
% 24.82/4.29 Current options:
% 24.82/4.29 ------
% 24.82/4.29
% 24.82/4.29
% 24.82/4.29
% 24.82/4.29
% 24.82/4.29 ------ Proving...
% 24.82/4.29
% 24.82/4.29
% 24.82/4.29 % SZS status Theorem for theBenchmark.p
% 24.82/4.29
% 24.82/4.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.82/4.29
% 24.82/4.30
%------------------------------------------------------------------------------