TSTP Solution File: SET582+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET582+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 03:00:49 EDT 2024
% Result : Theorem 7.41s 1.61s
% Output : CNFRefutation 7.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 90 ( 12 unt; 0 def)
% Number of atoms : 312 ( 25 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 370 ( 148 ~; 159 |; 45 &)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 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 : 159 ( 8 sgn 97 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,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(f3,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f4,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f9,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f10,axiom,
! [X0] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).
fof(f11,conjecture,
! [X0,X1,X2] :
( ! [X3] :
( ~ member(X3,X0)
<=> ( member(X3,X1)
<=> member(X3,X2) ) )
=> symmetric_difference(X1,X2) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th25) ).
fof(f12,negated_conjecture,
~ ! [X0,X1,X2] :
( ! [X3] :
( ~ member(X3,X0)
<=> ( member(X3,X1)
<=> member(X3,X2) ) )
=> symmetric_difference(X1,X2) = X0 ),
inference(negated_conjecture,[],[f11]) ).
fof(f14,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f15,plain,
? [X0,X1,X2] :
( symmetric_difference(X1,X2) != X0
& ! [X3] :
( ~ member(X3,X0)
<=> ( member(X3,X1)
<=> member(X3,X2) ) ) ),
inference(ennf_transformation,[],[f12]) ).
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(nnf_transformation,[],[f2]) ).
fof(f20,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,[],[f19]) ).
fof(f21,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(f22,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,[],[f21]) ).
fof(f25,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,[],[f8]) ).
fof(f26,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,[],[f25]) ).
fof(f27,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(f28,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])],[f26,f27]) ).
fof(f29,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,[],[f14]) ).
fof(f30,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,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f30,f31]) ).
fof(f33,plain,
? [X0,X1,X2] :
( symmetric_difference(X1,X2) != X0
& ! [X3] :
( ( ~ member(X3,X0)
| ( ( ~ member(X3,X2)
| ~ member(X3,X1) )
& ( member(X3,X2)
| member(X3,X1) ) ) )
& ( ( ( member(X3,X1)
| ~ member(X3,X2) )
& ( member(X3,X2)
| ~ member(X3,X1) ) )
| member(X3,X0) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f34,plain,
( ? [X0,X1,X2] :
( symmetric_difference(X1,X2) != X0
& ! [X3] :
( ( ~ member(X3,X0)
| ( ( ~ member(X3,X2)
| ~ member(X3,X1) )
& ( member(X3,X2)
| member(X3,X1) ) ) )
& ( ( ( member(X3,X1)
| ~ member(X3,X2) )
& ( member(X3,X2)
| ~ member(X3,X1) ) )
| member(X3,X0) ) ) )
=> ( sK3 != symmetric_difference(sK4,sK5)
& ! [X3] :
( ( ~ member(X3,sK3)
| ( ( ~ member(X3,sK5)
| ~ member(X3,sK4) )
& ( member(X3,sK5)
| member(X3,sK4) ) ) )
& ( ( ( member(X3,sK4)
| ~ member(X3,sK5) )
& ( member(X3,sK5)
| ~ member(X3,sK4) ) )
| member(X3,sK3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
( sK3 != symmetric_difference(sK4,sK5)
& ! [X3] :
( ( ~ member(X3,sK3)
| ( ( ~ member(X3,sK5)
| ~ member(X3,sK4) )
& ( member(X3,sK5)
| member(X3,sK4) ) ) )
& ( ( ( member(X3,sK4)
| ~ member(X3,sK5) )
& ( member(X3,sK5)
| ~ member(X3,sK4) ) )
| member(X3,sK3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f33,f34]) ).
fof(f38,plain,
! [X2,X0,X1] :
( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f40,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,difference(X0,X1)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| ~ member(X2,difference(X0,X1)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f4]) ).
fof(f52,plain,
! [X0,X1] :
( X0 = X1
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f53,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f57,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f58,plain,
! [X3] :
( member(X3,sK5)
| ~ member(X3,sK4)
| member(X3,sK3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f59,plain,
! [X3] :
( member(X3,sK4)
| ~ member(X3,sK5)
| member(X3,sK3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f60,plain,
! [X3] :
( ~ member(X3,sK3)
| member(X3,sK5)
| member(X3,sK4) ),
inference(cnf_transformation,[],[f35]) ).
fof(f61,plain,
! [X3] :
( ~ member(X3,sK3)
| ~ member(X3,sK5)
| ~ member(X3,sK4) ),
inference(cnf_transformation,[],[f35]) ).
fof(f62,plain,
sK3 != symmetric_difference(sK4,sK5),
inference(cnf_transformation,[],[f35]) ).
fof(f64,plain,
sK3 != union(difference(sK4,sK5),difference(sK5,sK4)),
inference(definition_unfolding,[],[f62,f44]) ).
cnf(c_51,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_52,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_53,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_54,plain,
( ~ member(X0,X1)
| member(X0,difference(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_55,plain,
( ~ member(X0,difference(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_56,plain,
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_62,plain,
( ~ member(sK1(X0,X1),X0)
| ~ member(sK1(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_63,plain,
( X0 = X1
| member(sK1(X0,X1),X0)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_66,plain,
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_67,plain,
subset(X0,X0),
inference(cnf_transformation,[],[f57]) ).
cnf(c_68,negated_conjecture,
union(difference(sK4,sK5),difference(sK5,sK4)) != sK3,
inference(cnf_transformation,[],[f64]) ).
cnf(c_69,negated_conjecture,
( ~ member(X0,sK3)
| ~ member(X0,sK4)
| ~ member(X0,sK5) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_70,negated_conjecture,
( ~ member(X0,sK3)
| member(X0,sK4)
| member(X0,sK5) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_71,negated_conjecture,
( ~ member(X0,sK5)
| member(X0,sK3)
| member(X0,sK4) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_72,negated_conjecture,
( ~ member(X0,sK4)
| member(X0,sK3)
| member(X0,sK5) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_73,plain,
subset(sK4,sK4),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_577,plain,
( union(difference(sK4,sK5),difference(sK5,sK4)) = sK3
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),union(difference(sK4,sK5),difference(sK5,sK4)))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK3) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_630,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),union(difference(sK4,sK5),difference(sK5,sK4)))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK4,sK5))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK5,sK4)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_633,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),union(difference(sK4,sK5),difference(sK5,sK4)))
| ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK3)
| union(difference(sK4,sK5),difference(sK5,sK4)) = sK3 ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_676,plain,
( ~ member(sK1(X0,sK3),sK3)
| member(sK1(X0,sK3),sK4)
| member(sK1(X0,sK3),sK5) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_733,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK3)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5) ),
inference(instantiation,[status(thm)],[c_676]) ).
cnf(c_1221,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X0)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(X0,X1))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_1222,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X0)
| ~ subset(X0,X1)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_1223,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X0)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),union(X1,X0)) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1224,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X0)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),union(X0,X1)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_1230,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(X0,X1))
| ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1258,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK4,sK5))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_1568,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK3)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK3,X0))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X0) ),
inference(instantiation,[status(thm)],[c_1221]) ).
cnf(c_2232,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK3)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_2233,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK3)
| ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4)
| ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_2237,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK5,X0))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X0) ),
inference(instantiation,[status(thm)],[c_1221]) ).
cnf(c_2238,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK5,sK4))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4) ),
inference(instantiation,[status(thm)],[c_2237]) ).
cnf(c_2242,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(X0,sK5))
| ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5) ),
inference(instantiation,[status(thm)],[c_1230]) ).
cnf(c_2243,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK4,sK5))
| ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5) ),
inference(instantiation,[status(thm)],[c_2242]) ).
cnf(c_2521,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X0)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(X0,sK5))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5) ),
inference(instantiation,[status(thm)],[c_1221]) ).
cnf(c_2522,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK4,sK5))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5) ),
inference(instantiation,[status(thm)],[c_2521]) ).
cnf(c_2571,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK5,sK4))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),union(difference(sK4,sK5),difference(sK5,sK4))) ),
inference(instantiation,[status(thm)],[c_1223]) ).
cnf(c_2584,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK4,sK5))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),union(difference(sK4,sK5),difference(sK5,sK4))) ),
inference(instantiation,[status(thm)],[c_1224]) ).
cnf(c_2891,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK5,sK4))
| ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4) ),
inference(instantiation,[status(thm)],[c_1230]) ).
cnf(c_2896,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK5,sK4))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2897,plain,
~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK5,sK4)),
inference(global_subsumption_just,[status(thm)],[c_2896,c_68,c_633,c_2232,c_2571,c_2891,c_2896]) ).
cnf(c_3000,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4)
| ~ subset(sK4,X0)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X0) ),
inference(instantiation,[status(thm)],[c_1222]) ).
cnf(c_3001,plain,
( ~ subset(sK4,X0)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),X0) ),
inference(global_subsumption_just,[status(thm)],[c_3000,c_68,c_577,c_630,c_733,c_1258,c_2238,c_2897,c_3000]) ).
cnf(c_3003,plain,
( ~ subset(sK4,sK4)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4) ),
inference(instantiation,[status(thm)],[c_3001]) ).
cnf(c_4204,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK3)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),difference(sK3,union(difference(sK4,sK5),difference(sK5,sK4))))
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),union(difference(sK4,sK5),difference(sK5,sK4))) ),
inference(instantiation,[status(thm)],[c_1568]) ).
cnf(c_4205,plain,
member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),union(difference(sK4,sK5),difference(sK5,sK4))),
inference(global_subsumption_just,[status(thm)],[c_4204,c_73,c_68,c_577,c_2233,c_2522,c_2584,c_3003]) ).
cnf(c_5276,plain,
( ~ member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK4)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK3)
| member(sK1(union(difference(sK4,sK5),difference(sK5,sK4)),sK3),sK5) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_5277,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5276,c_4205,c_3003,c_2897,c_2243,c_633,c_630,c_68,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET582+3 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n005.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 20:36:41 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 7.41/1.61 % SZS status Started for theBenchmark.p
% 7.41/1.61 % SZS status Theorem for theBenchmark.p
% 7.41/1.61
% 7.41/1.61 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.41/1.61
% 7.41/1.61 ------ iProver source info
% 7.41/1.61
% 7.41/1.61 git: date: 2024-05-02 19:28:25 +0000
% 7.41/1.61 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.41/1.61 git: non_committed_changes: false
% 7.41/1.61
% 7.41/1.61 ------ Parsing...
% 7.41/1.61 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.41/1.61
% 7.41/1.61 ------ 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
% 7.41/1.61
% 7.41/1.61 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.41/1.61
% 7.41/1.61 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.41/1.61 ------ Proving...
% 7.41/1.61 ------ Problem Properties
% 7.41/1.61
% 7.41/1.61
% 7.41/1.61 clauses 21
% 7.41/1.61 conjectures 5
% 7.41/1.61 EPR 7
% 7.41/1.61 Horn 13
% 7.41/1.61 unary 3
% 7.41/1.61 binary 6
% 7.41/1.61 lits 51
% 7.41/1.61 lits eq 7
% 7.41/1.61 fd_pure 0
% 7.41/1.61 fd_pseudo 0
% 7.41/1.61 fd_cond 0
% 7.41/1.61 fd_pseudo_cond 5
% 7.41/1.61 AC symbols 0
% 7.41/1.61
% 7.41/1.61 ------ Input Options Time Limit: Unbounded
% 7.41/1.61
% 7.41/1.61
% 7.41/1.61 ------
% 7.41/1.61 Current options:
% 7.41/1.61 ------
% 7.41/1.61
% 7.41/1.61
% 7.41/1.61
% 7.41/1.61
% 7.41/1.61 ------ Proving...
% 7.41/1.61
% 7.41/1.61
% 7.41/1.61 % SZS status Theorem for theBenchmark.p
% 7.41/1.61
% 7.41/1.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.41/1.61
% 7.41/1.62
%------------------------------------------------------------------------------