TSTP Solution File: SET609+3 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET609+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 : Thu Aug 31 15:08:36 EDT 2023
% Result : Theorem 20.28s 3.72s
% Output : CNFRefutation 20.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 94 ( 11 unt; 0 def)
% Number of atoms : 277 ( 25 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 316 ( 133 ~; 139 |; 33 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 182 ( 12 sgn; 106 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f3,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f5,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f9,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f10,conjecture,
! [X0,X1,X2] : difference(X0,difference(X1,X2)) = union(difference(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th81) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2] : difference(X0,difference(X1,X2)) = union(difference(X0,X1),intersection(X0,X2)),
inference(negated_conjecture,[],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f13,plain,
? [X0,X1,X2] : difference(X0,difference(X1,X2)) != union(difference(X0,X1),intersection(X0,X2)),
inference(ennf_transformation,[],[f11]) ).
fof(f14,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,[],[f1]) ).
fof(f15,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,[],[f14]) ).
fof(f16,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,[],[f2]) ).
fof(f17,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,[],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).
fof(f26,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,[],[f9]) ).
fof(f27,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,[],[f26]) ).
fof(f28,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(f29,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])],[f27,f28]) ).
fof(f30,plain,
( ? [X0,X1,X2] : difference(X0,difference(X1,X2)) != union(difference(X0,X1),intersection(X0,X2))
=> difference(sK2,difference(sK3,sK4)) != union(difference(sK2,sK3),intersection(sK2,sK4)) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
difference(sK2,difference(sK3,sK4)) != union(difference(sK2,sK3),intersection(sK2,sK4)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f13,f30]) ).
fof(f32,plain,
! [X2,X0,X1] :
( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f37,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,difference(X0,X1)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| ~ member(X2,difference(X0,X1)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f46,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f48,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f52,plain,
! [X0,X1] :
( X0 = X1
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f54,plain,
difference(sK2,difference(sK3,sK4)) != union(difference(sK2,sK3),intersection(sK2,sK4)),
inference(cnf_transformation,[],[f31]) ).
cnf(c_49,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_50,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_51,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_52,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_53,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_54,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_55,plain,
( ~ member(X0,X1)
| member(X0,difference(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_56,plain,
( ~ member(X0,difference(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_57,plain,
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_61,plain,
union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f44]) ).
cnf(c_63,plain,
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_64,plain,
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_65,plain,
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_67,plain,
( ~ member(sK1(X0,X1),X0)
| ~ member(sK1(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_68,plain,
( X0 = X1
| member(sK1(X0,X1),X0)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_69,negated_conjecture,
union(difference(sK2,sK3),intersection(sK2,sK4)) != difference(sK2,difference(sK3,sK4)),
inference(cnf_transformation,[],[f54]) ).
cnf(c_230,plain,
union(intersection(sK2,sK4),difference(sK2,sK3)) != difference(sK2,difference(sK3,sK4)),
inference(demodulation,[status(thm)],[c_69,c_61]) ).
cnf(c_848,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),union(intersection(sK2,sK4),difference(sK2,sK3)))
| ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4)))
| union(intersection(sK2,sK4),difference(sK2,sK3)) = difference(sK2,difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_849,plain,
( union(intersection(sK2,sK4),difference(sK2,sK3)) = difference(sK2,difference(sK3,sK4))
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),union(intersection(sK2,sK4),difference(sK2,sK3)))
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_929,plain,
( member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),union(intersection(sK2,sK4),difference(sK2,sK3)))
| subset(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_930,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4)))
| subset(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_935,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),union(intersection(sK2,sK4),difference(sK2,sK3)))
| ~ subset(union(intersection(sK2,sK4),difference(sK2,sK3)),X0)
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X0) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_1081,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),union(intersection(sK2,sK4),difference(sK2,sK3)))
| member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),intersection(sK2,sK4))
| member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1205,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4)))
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK2) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_1698,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,sK3))
| member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK2) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_1827,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK2)
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,X0))
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1828,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X0)
| ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK2)
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),intersection(sK2,X0)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_2962,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),intersection(X0,X1))
| member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_2963,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),intersection(X0,X1))
| member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_6183,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(X0,X1))
| ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_6187,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X0)
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),union(X0,X1)) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_6188,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X0)
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),union(X1,X0)) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_7524,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK2)
| ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK4)
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),intersection(sK2,sK4)) ),
inference(instantiation,[status(thm)],[c_1828]) ).
cnf(c_11521,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),intersection(sK2,sK4))
| member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK2) ),
inference(instantiation,[status(thm)],[c_2962]) ).
cnf(c_11571,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),intersection(sK2,sK4))
| member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK4) ),
inference(instantiation,[status(thm)],[c_2963]) ).
cnf(c_20599,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),union(intersection(sK2,sK4),difference(sK2,sK3)))
| ~ subset(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4)))
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_935]) ).
cnf(c_22232,plain,
( ~ member(X0,difference(sK3,sK4))
| ~ member(X0,sK4) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_30531,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4)))
| ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_6183]) ).
cnf(c_30883,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),intersection(sK2,sK4))
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),union(intersection(sK2,sK4),difference(sK2,sK3))) ),
inference(instantiation,[status(thm)],[c_6187]) ).
cnf(c_30898,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,sK3))
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),union(intersection(sK2,sK4),difference(sK2,sK3))) ),
inference(instantiation,[status(thm)],[c_6188]) ).
cnf(c_44816,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK2)
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,sK3))
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK3) ),
inference(instantiation,[status(thm)],[c_1827]) ).
cnf(c_54170,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK3,sK4))
| ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK4) ),
inference(instantiation,[status(thm)],[c_22232]) ).
cnf(c_97191,plain,
( ~ member(X0,X1)
| member(X0,difference(X1,difference(X2,X3)))
| member(X0,difference(X2,X3)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_97261,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK2)
| member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,difference(sK3,sK4)))
| member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_97191]) ).
cnf(c_98097,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X0)
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(X0,X1))
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_98241,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(X0,X1))
| ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_106857,plain,
( ~ member(X0,difference(sK3,sK4))
| member(X0,sK3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_107799,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),X0)
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(X0,sK4))
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK4) ),
inference(instantiation,[status(thm)],[c_98097]) ).
cnf(c_116472,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK2,sK3))
| ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK3) ),
inference(instantiation,[status(thm)],[c_98241]) ).
cnf(c_118637,plain,
( ~ member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK3,sK4))
| member(sK0(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK3) ),
inference(instantiation,[status(thm)],[c_106857]) ).
cnf(c_119274,plain,
( ~ member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK3)
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),difference(sK3,sK4))
| member(sK1(union(intersection(sK2,sK4),difference(sK2,sK3)),difference(sK2,difference(sK3,sK4))),sK4) ),
inference(instantiation,[status(thm)],[c_107799]) ).
cnf(c_125093,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_119274,c_118637,c_116472,c_97261,c_54170,c_44816,c_30898,c_30883,c_30531,c_20599,c_11571,c_11521,c_7524,c_1698,c_1205,c_1081,c_929,c_930,c_849,c_848,c_230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET609+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.18/0.35 % Computer : n006.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sat Aug 26 11:28:37 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.28/3.72 % SZS status Started for theBenchmark.p
% 20.28/3.72 % SZS status Theorem for theBenchmark.p
% 20.28/3.72
% 20.28/3.72 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.28/3.72
% 20.28/3.72 ------ iProver source info
% 20.28/3.72
% 20.28/3.72 git: date: 2023-05-31 18:12:56 +0000
% 20.28/3.72 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.28/3.72 git: non_committed_changes: false
% 20.28/3.72 git: last_make_outside_of_git: false
% 20.28/3.72
% 20.28/3.72 ------ Parsing...
% 20.28/3.72 ------ Clausification by vclausify_rel & Parsing by iProver...
% 20.28/3.72
% 20.28/3.72 ------ 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
% 20.28/3.72
% 20.28/3.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.28/3.72
% 20.28/3.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.28/3.72 ------ Proving...
% 20.28/3.72 ------ Problem Properties
% 20.28/3.72
% 20.28/3.72
% 20.28/3.72 clauses 19
% 20.28/3.72 conjectures 0
% 20.28/3.72 EPR 3
% 20.28/3.72 Horn 15
% 20.28/3.72 unary 4
% 20.28/3.72 binary 8
% 20.28/3.72 lits 41
% 20.28/3.72 lits eq 6
% 20.28/3.72 fd_pure 0
% 20.28/3.72 fd_pseudo 0
% 20.28/3.72 fd_cond 0
% 20.28/3.72 fd_pseudo_cond 3
% 20.28/3.72 AC symbols 0
% 20.28/3.72
% 20.28/3.72 ------ Schedule dynamic 5 is on
% 20.28/3.72
% 20.28/3.72 ------ no conjectures: strip conj schedule
% 20.28/3.72
% 20.28/3.72 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 20.28/3.72
% 20.28/3.72
% 20.28/3.72 ------
% 20.28/3.72 Current options:
% 20.28/3.72 ------
% 20.28/3.72
% 20.28/3.72
% 20.28/3.72
% 20.28/3.72
% 20.28/3.72 ------ Proving...
% 20.28/3.72
% 20.28/3.72
% 20.28/3.72 % SZS status Theorem for theBenchmark.p
% 20.28/3.72
% 20.28/3.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.28/3.72
% 20.28/3.72
%------------------------------------------------------------------------------