TSTP Solution File: SET943+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET943+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 03:02:04 EDT 2024
% Result : Theorem 10.19s 2.11s
% Output : CNFRefutation 10.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 90 ( 9 unt; 0 def)
% Number of atoms : 347 ( 47 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 437 ( 180 ~; 188 |; 56 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 198 ( 4 sgn 120 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f6,axiom,
! [X0,X1] :
( union(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(f16,conjecture,
! [X0,X1] : union(set_union2(X0,X1)) = set_union2(union(X0),union(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t96_zfmisc_1) ).
fof(f17,negated_conjecture,
~ ! [X0,X1] : union(set_union2(X0,X1)) = set_union2(union(X0),union(X1)),
inference(negated_conjecture,[],[f16]) ).
fof(f21,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f27,plain,
? [X0,X1] : union(set_union2(X0,X1)) != set_union2(union(X0),union(X1)),
inference(ennf_transformation,[],[f17]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) )
=> ( ( ( ~ in(sK0(X0,X1,X2),X1)
& ~ in(sK0(X0,X1,X2),X0) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( in(sK0(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X0)
| in(sK0(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ( ( ( ~ in(sK0(X0,X1,X2),X1)
& ~ in(sK0(X0,X1,X2),X0) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( in(sK0(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X0)
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f32,f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f36,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f36,f37]) ).
fof(f39,plain,
! [X0,X1] :
( ( union(X0) = X1
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| ~ in(X2,X1) ) )
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f40,plain,
! [X0,X1] :
( ( union(X0) = X1
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK2(X0,X1),X3) )
| ~ in(sK2(X0,X1),X1) )
& ( ? [X4] :
( in(X4,X0)
& in(sK2(X0,X1),X4) )
| in(sK2(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X4] :
( in(X4,X0)
& in(sK2(X0,X1),X4) )
=> ( in(sK3(X0,X1),X0)
& in(sK2(X0,X1),sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X5] :
( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
=> ( in(sK4(X0,X5),X0)
& in(X5,sK4(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ( union(X0) = X1
| ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK2(X0,X1),X3) )
| ~ in(sK2(X0,X1),X1) )
& ( ( in(sK3(X0,X1),X0)
& in(sK2(X0,X1),sK3(X0,X1)) )
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ( in(sK4(X0,X5),X0)
& in(X5,sK4(X0,X5)) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f40,f43,f42,f41]) ).
fof(f49,plain,
( ? [X0,X1] : union(set_union2(X0,X1)) != set_union2(union(X0),union(X1))
=> union(set_union2(sK7,sK8)) != set_union2(union(sK7),union(sK8)) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
union(set_union2(sK7,sK8)) != set_union2(union(sK7),union(sK8)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f27,f49]) ).
fof(f56,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f34]) ).
fof(f57,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f34]) ).
fof(f59,plain,
! [X2,X0,X1] :
( set_union2(X0,X1) = X2
| in(sK0(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X0)
| in(sK0(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f60,plain,
! [X2,X0,X1] :
( set_union2(X0,X1) = X2
| ~ in(sK0(X0,X1,X2),X0)
| ~ in(sK0(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f61,plain,
! [X2,X0,X1] :
( set_union2(X0,X1) = X2
| ~ in(sK0(X0,X1,X2),X1)
| ~ in(sK0(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f62,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f65,plain,
! [X0,X1,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f66,plain,
! [X0,X1,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f67,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X6,X0)
| ~ in(X5,X6)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f80,plain,
union(set_union2(sK7,sK8)) != set_union2(union(sK7),union(sK8)),
inference(cnf_transformation,[],[f50]) ).
fof(f83,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f58]) ).
fof(f84,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f57]) ).
fof(f85,plain,
! [X0,X1,X4] :
( in(X4,X1)
| in(X4,X0)
| ~ in(X4,set_union2(X0,X1)) ),
inference(equality_resolution,[],[f56]) ).
fof(f86,plain,
! [X0,X6,X5] :
( in(X5,union(X0))
| ~ in(X6,X0)
| ~ in(X5,X6) ),
inference(equality_resolution,[],[f67]) ).
fof(f87,plain,
! [X0,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f66]) ).
fof(f88,plain,
! [X0,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f65]) ).
cnf(c_54,plain,
( ~ in(sK0(X0,X1,X2),X1)
| ~ in(sK0(X0,X1,X2),X2)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_55,plain,
( ~ in(sK0(X0,X1,X2),X0)
| ~ in(sK0(X0,X1,X2),X2)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_56,plain,
( set_union2(X0,X1) = X2
| in(sK0(X0,X1,X2),X0)
| in(sK0(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_57,plain,
( ~ in(X0,X1)
| in(X0,set_union2(X2,X1)) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_58,plain,
( ~ in(X0,X1)
| in(X0,set_union2(X1,X2)) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_59,plain,
( ~ in(X0,set_union2(X1,X2))
| in(X0,X1)
| in(X0,X2) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_62,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_66,plain,
( ~ in(X0,X1)
| ~ in(X1,X2)
| in(X0,union(X2)) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_67,plain,
( ~ in(X0,union(X1))
| in(sK4(X1,X0),X1) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_68,plain,
( ~ in(X0,union(X1))
| in(X0,sK4(X1,X0)) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_78,negated_conjecture,
set_union2(union(sK7),union(sK8)) != union(set_union2(sK7,sK8)),
inference(cnf_transformation,[],[f80]) ).
cnf(c_360,plain,
( X0 != X1
| X2 != X3
| ~ in(X1,X3)
| in(X0,X2) ),
theory(equality) ).
cnf(c_698,plain,
( set_union2(union(sK7),union(sK8)) = union(set_union2(sK7,sK8))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8)))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK7))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK8)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_713,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8)))
| in(sK4(set_union2(sK7,sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),set_union2(sK7,sK8)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_714,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8)))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(set_union2(sK7,sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))))) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_730,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(X0))
| in(sK4(X0,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),X0) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_731,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(X0))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(X0,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))))) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_732,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK7))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(sK7,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))))) ),
inference(instantiation,[status(thm)],[c_731]) ).
cnf(c_733,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK7))
| in(sK4(sK7,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK7) ),
inference(instantiation,[status(thm)],[c_730]) ).
cnf(c_746,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8)))
| ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK8))
| set_union2(union(sK7),union(sK8)) = union(set_union2(sK7,sK8)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_771,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK8))
| in(sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK8) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_772,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK8))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))))) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_835,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8)))
| ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK7))
| set_union2(union(sK7),union(sK8)) = union(set_union2(sK7,sK8)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_885,plain,
( ~ in(sK4(set_union2(sK7,sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),set_union2(sK7,sK8))
| in(sK4(set_union2(sK7,sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK7)
| in(sK4(set_union2(sK7,sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK8) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_1129,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK8))
| ~ subset(union(sK8),X0)
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_1151,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),X0)
| ~ in(X0,X1)
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(X1)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_1187,plain,
( ~ in(sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK8)
| in(sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),set_union2(X0,sK8)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_1191,plain,
( ~ in(sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK8)
| in(sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),set_union2(sK7,sK8)) ),
inference(instantiation,[status(thm)],[c_1187]) ).
cnf(c_1277,plain,
( ~ in(sK4(X0,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),X0)
| in(sK4(X0,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),set_union2(X0,X1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_1302,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),X0)
| ~ in(X0,set_union2(sK7,sK8))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8))) ),
inference(instantiation,[status(thm)],[c_1151]) ).
cnf(c_1309,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),X0)
| ~ in(X0,sK8)
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK8)) ),
inference(instantiation,[status(thm)],[c_1151]) ).
cnf(c_1962,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))))
| ~ in(sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),set_union2(sK7,sK8))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8))) ),
inference(instantiation,[status(thm)],[c_1302]) ).
cnf(c_1976,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))))
| ~ in(sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK8)
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK8)) ),
inference(instantiation,[status(thm)],[c_1309]) ).
cnf(c_1977,plain,
( ~ in(sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK8)
| ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))))) ),
inference(global_subsumption_just,[status(thm)],[c_1976,c_78,c_746,c_1191,c_1962,c_1976]) ).
cnf(c_1978,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))))
| ~ in(sK4(sK8,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK8) ),
inference(renaming,[status(thm)],[c_1977]) ).
cnf(c_2061,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK8))
| ~ subset(union(sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))) ),
inference(instantiation,[status(thm)],[c_1129]) ).
cnf(c_2062,plain,
~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK8)),
inference(global_subsumption_just,[status(thm)],[c_2061,c_772,c_771,c_1978]) ).
cnf(c_2276,plain,
( ~ in(sK4(sK7,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK7)
| in(sK4(sK7,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),set_union2(sK7,sK8)) ),
inference(instantiation,[status(thm)],[c_1277]) ).
cnf(c_4759,plain,
( X0 != sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))
| X1 != union(set_union2(sK7,sK8))
| ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8)))
| in(X0,X1) ),
inference(instantiation,[status(thm)],[c_360]) ).
cnf(c_4797,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(set_union2(sK7,sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))))
| ~ in(sK4(set_union2(sK7,sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),X0)
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(X0)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_4802,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(set_union2(sK7,sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))))
| ~ in(sK4(set_union2(sK7,sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK7)
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK7)) ),
inference(instantiation,[status(thm)],[c_4797]) ).
cnf(c_4806,plain,
( set_union2(X0,X1) != union(set_union2(sK7,sK8))
| X2 != sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))
| ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8)))
| in(X2,set_union2(X0,X1)) ),
inference(instantiation,[status(thm)],[c_4759]) ).
cnf(c_5035,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(set_union2(sK7,sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))))
| ~ in(sK4(set_union2(sK7,sK8),sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),sK8)
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(sK8)) ),
inference(instantiation,[status(thm)],[c_4797]) ).
cnf(c_5086,plain,
( set_union2(X0,X1) != union(set_union2(sK7,sK8))
| set_union2(X2,X3) != sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))
| ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8)))
| in(set_union2(X2,X3),set_union2(X0,X1)) ),
inference(instantiation,[status(thm)],[c_4806]) ).
cnf(c_5088,plain,
~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8))),
inference(global_subsumption_just,[status(thm)],[c_5086,c_78,c_714,c_713,c_835,c_885,c_2062,c_4802,c_5035]) ).
cnf(c_6445,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(X0,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))))
| ~ in(sK4(X0,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),X1)
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(X1)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_15371,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(X0,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))))
| ~ in(sK4(X0,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),set_union2(sK7,sK8))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8))) ),
inference(instantiation,[status(thm)],[c_6445]) ).
cnf(c_15372,plain,
( ~ in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),sK4(sK7,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))))
| ~ in(sK4(sK7,sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8)))),set_union2(sK7,sK8))
| in(sK0(union(sK7),union(sK8),union(set_union2(sK7,sK8))),union(set_union2(sK7,sK8))) ),
inference(instantiation,[status(thm)],[c_15371]) ).
cnf(c_15373,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15372,c_5088,c_2276,c_2062,c_733,c_732,c_698,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET943+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n029.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 : Thu May 2 20:48:22 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 10.19/2.11 % SZS status Started for theBenchmark.p
% 10.19/2.11 % SZS status Theorem for theBenchmark.p
% 10.19/2.11
% 10.19/2.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.19/2.11
% 10.19/2.11 ------ iProver source info
% 10.19/2.11
% 10.19/2.11 git: date: 2024-05-02 19:28:25 +0000
% 10.19/2.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.19/2.11 git: non_committed_changes: false
% 10.19/2.11
% 10.19/2.11 ------ Parsing...
% 10.19/2.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.19/2.11
% 10.19/2.11 ------ Preprocessing... sup_sim: 0 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
% 10.19/2.11
% 10.19/2.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.19/2.11
% 10.19/2.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.19/2.11 ------ Proving...
% 10.19/2.11 ------ Problem Properties
% 10.19/2.11
% 10.19/2.11
% 10.19/2.11 clauses 28
% 10.19/2.11 conjectures 1
% 10.19/2.11 EPR 6
% 10.19/2.11 Horn 23
% 10.19/2.11 unary 7
% 10.19/2.11 binary 10
% 10.19/2.11 lits 62
% 10.19/2.11 lits eq 10
% 10.19/2.11 fd_pure 0
% 10.19/2.11 fd_pseudo 0
% 10.19/2.11 fd_cond 0
% 10.19/2.11 fd_pseudo_cond 7
% 10.19/2.11 AC symbols 0
% 10.19/2.11
% 10.19/2.11 ------ Input Options Time Limit: Unbounded
% 10.19/2.11
% 10.19/2.11
% 10.19/2.11 ------
% 10.19/2.11 Current options:
% 10.19/2.11 ------
% 10.19/2.11
% 10.19/2.11
% 10.19/2.11
% 10.19/2.11
% 10.19/2.11 ------ Proving...
% 10.19/2.11
% 10.19/2.11
% 10.19/2.11 % SZS status Theorem for theBenchmark.p
% 10.19/2.11
% 10.19/2.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.19/2.11
% 10.19/2.11
%------------------------------------------------------------------------------