TSTP Solution File: SET155+4 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET155+4 : 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 15:06:51 EDT 2023
% Result : Theorem 190.72s 25.87s
% Output : CNFRefutation 190.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 115 ( 8 unt; 0 def)
% Number of atoms : 309 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 337 ( 143 ~; 136 |; 40 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 207 ( 15 sgn; 116 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f3,axiom,
! [X2,X0] :
( member(X2,power_set(X0))
<=> subset(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_set) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f5,axiom,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
fof(f7,axiom,
! [X1,X0,X3] :
( member(X1,difference(X3,X0))
<=> ( ~ member(X1,X0)
& member(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
fof(f12,conjecture,
! [X0,X1,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> equal_set(difference(X3,union(X0,X1)),intersection(difference(X3,X0),difference(X3,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI26) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> equal_set(difference(X3,union(X0,X1)),intersection(difference(X3,X0),difference(X3,X1))) ),
inference(negated_conjecture,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( member(X0,power_set(X1))
<=> subset(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f15,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X2)
& member(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X2)
| member(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f17,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f18,plain,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( ~ member(X0,X1)
& member(X0,X2) ) ),
inference(rectify,[],[f7]) ).
fof(f23,plain,
~ ! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X2) )
=> equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1))) ),
inference(rectify,[],[f13]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f25,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f26,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f27,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f29,plain,
? [X0,X1,X2] :
( ~ equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1)))
& subset(X1,X2)
& subset(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f30,plain,
? [X0,X1,X2] :
( ~ equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1)))
& subset(X1,X2)
& subset(X0,X2) ),
inference(flattening,[],[f29]) ).
fof(f31,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,[],[f25]) ).
fof(f32,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,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f34,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])],[f32,f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( member(X0,power_set(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ member(X0,power_set(X1)) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) )
& ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) )
& ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(flattening,[],[f40]) ).
fof(f53,plain,
( ? [X0,X1,X2] :
( ~ equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1)))
& subset(X1,X2)
& subset(X0,X2) )
=> ( ~ equal_set(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4)))
& subset(sK4,sK5)
& subset(sK3,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ~ equal_set(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4)))
& subset(sK4,sK5)
& subset(sK3,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f30,f53]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f57,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f59,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f60,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f61,plain,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f64,plain,
! [X2,X0,X1] :
( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f65,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f66,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f67,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f17]) ).
fof(f68,plain,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f70,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f84,plain,
~ equal_set(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),
inference(cnf_transformation,[],[f54]) ).
cnf(c_49,plain,
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_50,plain,
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_52,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_53,plain,
( ~ subset(X0,X1)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_54,plain,
( ~ member(X0,power_set(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_55,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_56,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_57,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_58,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_59,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_60,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_61,plain,
~ member(X0,empty_set),
inference(cnf_transformation,[],[f67]) ).
cnf(c_62,plain,
( ~ member(X0,X1)
| member(X0,difference(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_63,plain,
( ~ member(X0,difference(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_64,plain,
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_76,negated_conjecture,
~ equal_set(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),
inference(cnf_transformation,[],[f84]) ).
cnf(c_331,plain,
( intersection(difference(sK5,sK3),difference(sK5,sK4)) != X1
| difference(sK5,union(sK3,sK4)) != X0
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_76]) ).
cnf(c_332,plain,
( ~ subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4)))
| ~ subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) ),
inference(unflattening,[status(thm)],[c_331]) ).
cnf(c_1225,plain,
( ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4)))
| subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1538,plain,
( member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(sK5,union(sK3,sK4)))
| subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1845,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(sK5,union(sK3,sK4)))
| subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1846,plain,
( ~ member(intersection(difference(sK5,sK3),difference(sK5,sK4)),power_set(difference(sK5,union(sK3,sK4))))
| subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_2718,plain,
( ~ subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4)))
| member(intersection(difference(sK5,sK3),difference(sK5,sK4)),power_set(difference(sK5,union(sK3,sK4)))) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_7749,plain,
( member(sK0(X0,difference(sK5,union(sK3,sK4))),X0)
| subset(X0,difference(sK5,union(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_13832,plain,
( member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4)))
| subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_7749]) ).
cnf(c_454473,plain,
( ~ member(X0,power_set(X1))
| member(X0,union(power_set(X1),X2)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_454582,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4)))
| ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),X0)
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(X0,intersection(difference(sK5,sK3),difference(sK5,sK4)))) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_454584,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4)))
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(sK5,sK3)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_454585,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4)))
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(sK5,sK4)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_454791,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(sK5,sK3))
| ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK3) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_454838,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(sK5,sK4))
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK5) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_454839,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(sK5,sK4))
| ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK4) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_455047,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),union(X0,X1))
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),X0)
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_457636,plain,
( ~ member(intersection(difference(sK5,sK3),difference(sK5,sK4)),power_set(difference(sK5,union(sK3,sK4))))
| member(intersection(difference(sK5,sK3),difference(sK5,sK4)),union(power_set(difference(sK5,union(sK3,sK4))),X0)) ),
inference(instantiation,[status(thm)],[c_454473]) ).
cnf(c_458660,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),union(X0,sK4))
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),X0)
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK4) ),
inference(instantiation,[status(thm)],[c_455047]) ).
cnf(c_463127,plain,
( ~ member(X0,union(X1,empty_set))
| member(X0,X1)
| member(X0,empty_set) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_464270,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4)))
| ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK3)
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(sK3,intersection(difference(sK5,sK3),difference(sK5,sK4)))) ),
inference(instantiation,[status(thm)],[c_454582]) ).
cnf(c_464445,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4)))
| ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK4)
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(sK4,intersection(difference(sK5,sK3),difference(sK5,sK4)))) ),
inference(instantiation,[status(thm)],[c_454582]) ).
cnf(c_464985,plain,
( member(X0,X1)
| ~ member(X0,union(X1,empty_set)) ),
inference(global_subsumption_just,[status(thm)],[c_463127,c_61,c_463127]) ).
cnf(c_464986,plain,
( ~ member(X0,union(X1,empty_set))
| member(X0,X1) ),
inference(renaming,[status(thm)],[c_464985]) ).
cnf(c_464997,plain,
( ~ member(intersection(difference(sK5,sK3),difference(sK5,sK4)),union(power_set(difference(sK5,union(sK3,sK4))),empty_set))
| member(intersection(difference(sK5,sK3),difference(sK5,sK4)),power_set(difference(sK5,union(sK3,sK4)))) ),
inference(instantiation,[status(thm)],[c_464986]) ).
cnf(c_466583,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),union(sK3,sK4))
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK3)
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK4) ),
inference(instantiation,[status(thm)],[c_458660]) ).
cnf(c_469203,plain,
( ~ member(sK0(X0,X1),X2)
| member(sK0(X0,X1),difference(X2,X3))
| member(sK0(X0,X1),X3) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_469207,plain,
( ~ member(sK0(X0,X1),X2)
| ~ member(sK0(X0,X1),X3)
| member(sK0(X0,X1),intersection(X2,X3)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_469210,plain,
( ~ member(sK0(X0,X1),X2)
| member(sK0(X0,X1),union(X3,X2)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_470729,plain,
( ~ member(X0,difference(X1,difference(X2,X3)))
| member(X0,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_472800,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK3)
| ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4))) ),
inference(global_subsumption_just,[status(thm)],[c_464270,c_454584,c_454791]) ).
cnf(c_472801,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4)))
| ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK3) ),
inference(renaming,[status(thm)],[c_472800]) ).
cnf(c_472938,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK4)
| ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4))) ),
inference(global_subsumption_just,[status(thm)],[c_464445,c_454585,c_454839]) ).
cnf(c_472939,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4)))
| ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK4) ),
inference(renaming,[status(thm)],[c_472938]) ).
cnf(c_473228,plain,
( ~ member(sK0(X0,X1),X2)
| member(sK0(X0,X1),union(X2,X3)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_476228,plain,
( ~ member(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(union(power_set(difference(sK5,union(sK3,sK4))),empty_set),difference(X0,X1)))
| member(intersection(difference(sK5,sK3),difference(sK5,sK4)),union(power_set(difference(sK5,union(sK3,sK4))),empty_set)) ),
inference(instantiation,[status(thm)],[c_470729]) ).
cnf(c_477228,plain,
( ~ member(intersection(difference(sK5,sK3),difference(sK5,sK4)),power_set(difference(sK5,union(sK3,sK4))))
| member(intersection(difference(sK5,sK3),difference(sK5,sK4)),union(power_set(difference(sK5,union(sK3,sK4))),empty_set)) ),
inference(instantiation,[status(thm)],[c_457636]) ).
cnf(c_485028,plain,
( ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(sK5,union(sK3,sK4)))
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK5) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_485029,plain,
( ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(sK5,union(sK3,sK4)))
| ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),union(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_505023,plain,
( ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK4)
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),union(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_469210]) ).
cnf(c_506570,plain,
( ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK3)
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),union(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_473228]) ).
cnf(c_508378,plain,
( ~ member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK5)
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(sK5,union(sK3,sK4)))
| member(sK0(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),union(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_469203]) ).
cnf(c_509401,plain,
member(intersection(difference(sK5,sK3),difference(sK5,sK4)),union(power_set(difference(sK5,union(sK3,sK4))),empty_set)),
inference(global_subsumption_just,[status(thm)],[c_476228,c_1845,c_2718,c_13832,c_454585,c_454838,c_466583,c_472801,c_472939,c_477228,c_508378]) ).
cnf(c_519644,plain,
( ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),X0)
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(X0,sK4))
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK4) ),
inference(instantiation,[status(thm)],[c_469203]) ).
cnf(c_519645,plain,
( ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK5)
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(sK5,sK4))
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK4) ),
inference(instantiation,[status(thm)],[c_519644]) ).
cnf(c_519646,plain,
( ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),X0)
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(X0,sK3))
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK3) ),
inference(instantiation,[status(thm)],[c_469203]) ).
cnf(c_519647,plain,
( ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK5)
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(sK5,sK3))
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK3) ),
inference(instantiation,[status(thm)],[c_519646]) ).
cnf(c_522818,plain,
( ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(sK5,sK3))
| ~ member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(sK5,sK4))
| member(sK0(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4))) ),
inference(instantiation,[status(thm)],[c_469207]) ).
cnf(c_522819,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_522818,c_519647,c_519645,c_509401,c_506570,c_505023,c_485028,c_485029,c_464997,c_1846,c_1538,c_1225,c_332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET155+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 15:20:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 190.72/25.87 % SZS status Started for theBenchmark.p
% 190.72/25.87 % SZS status Theorem for theBenchmark.p
% 190.72/25.87
% 190.72/25.87 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 190.72/25.87
% 190.72/25.87 ------ iProver source info
% 190.72/25.87
% 190.72/25.87 git: date: 2023-05-31 18:12:56 +0000
% 190.72/25.87 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 190.72/25.87 git: non_committed_changes: false
% 190.72/25.87 git: last_make_outside_of_git: false
% 190.72/25.87
% 190.72/25.87 ------ Parsing...
% 190.72/25.87 ------ Clausification by vclausify_rel & Parsing by iProver...
% 190.72/25.87
% 190.72/25.87 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 190.72/25.87
% 190.72/25.87 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 190.72/25.87
% 190.72/25.87 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 190.72/25.87 ------ Proving...
% 190.72/25.87 ------ Problem Properties
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 clauses 29
% 190.72/25.87 conjectures 2
% 190.72/25.87 EPR 4
% 190.72/25.87 Horn 24
% 190.72/25.87 unary 6
% 190.72/25.87 binary 16
% 190.72/25.87 lits 59
% 190.72/25.87 lits eq 3
% 190.72/25.87 fd_pure 0
% 190.72/25.87 fd_pseudo 0
% 190.72/25.87 fd_cond 0
% 190.72/25.87 fd_pseudo_cond 2
% 190.72/25.87 AC symbols 0
% 190.72/25.87
% 190.72/25.87 ------ Input Options Time Limit: Unbounded
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------
% 190.72/25.87 Current options:
% 190.72/25.87 ------
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------ Proving...
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------ Proving...
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------ Proving...
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------ Proving...
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------ Proving...
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------ Proving...
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------ Proving...
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------ Proving...
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------ Proving...
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------ Proving...
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 ------ Proving...
% 190.72/25.87
% 190.72/25.87
% 190.72/25.87 % SZS status Theorem for theBenchmark.p
% 190.72/25.87
% 190.72/25.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 190.72/25.87
% 190.72/25.87
%------------------------------------------------------------------------------