TSTP Solution File: SEU138+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU138+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 17:03:59 EDT 2023
% Result : Theorem 9.85s 2.11s
% Output : CNFRefutation 9.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 71 ( 9 unt; 0 def)
% Number of atoms : 290 ( 43 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 360 ( 141 ~; 154 |; 54 &)
% ( 5 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 152 ( 4 sgn; 107 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f9,axiom,
! [X0,X1,X2] :
( set_difference(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( ~ in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f33,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f44,conjecture,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(negated_conjecture,[],[f44]) ).
fof(f70,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f75,plain,
? [X0,X1] : set_intersection2(X0,X1) != set_difference(X0,set_difference(X0,X1)),
inference(ennf_transformation,[],[f45]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( set_intersection2(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_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( set_intersection2(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_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( set_intersection2(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_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) )
=> ( ( ~ in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X0)
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),X1)
& in(sK3(X0,X1,X2),X0) )
| in(sK3(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ( ( ~ in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X0)
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),X1)
& in(sK3(X0,X1,X2),X0) )
| in(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f99,f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( set_difference(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_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( set_difference(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_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( set_difference(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_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f103]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) )
=> ( ( in(sK4(X0,X1,X2),X1)
| ~ in(sK4(X0,X1,X2),X0)
| ~ in(sK4(X0,X1,X2),X2) )
& ( ( ~ in(sK4(X0,X1,X2),X1)
& in(sK4(X0,X1,X2),X0) )
| in(sK4(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) = X2
| ( ( in(sK4(X0,X1,X2),X1)
| ~ in(sK4(X0,X1,X2),X0)
| ~ in(sK4(X0,X1,X2),X2) )
& ( ( ~ in(sK4(X0,X1,X2),X1)
& in(sK4(X0,X1,X2),X0) )
| in(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| in(X4,X1)
| ~ in(X4,X0) )
& ( ( ~ in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f104,f105]) ).
fof(f113,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f114,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK7(X0,X1),X1)
| ~ in(sK7(X0,X1),X0) )
& ( in(sK7(X0,X1),X1)
| in(sK7(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK7(X0,X1),X1)
| ~ in(sK7(X0,X1),X0) )
& ( in(sK7(X0,X1),X1)
| in(sK7(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f113,f114]) ).
fof(f119,plain,
( ? [X0,X1] : set_intersection2(X0,X1) != set_difference(X0,set_difference(X0,X1))
=> set_intersection2(sK9,sK10) != set_difference(sK9,set_difference(sK9,sK10)) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
set_intersection2(sK9,sK10) != set_difference(sK9,set_difference(sK9,sK10)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f75,f119]) ).
fof(f140,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f141,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f142,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f146,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f106]) ).
fof(f147,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f106]) ).
fof(f148,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| in(X4,X1)
| ~ in(X4,X0)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f106]) ).
fof(f173,plain,
! [X0,X1] :
( X0 = X1
| in(sK7(X0,X1),X1)
| in(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f174,plain,
! [X0,X1] :
( X0 = X1
| ~ in(sK7(X0,X1),X1)
| ~ in(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f188,plain,
set_intersection2(sK9,sK10) != set_difference(sK9,set_difference(sK9,sK10)),
inference(cnf_transformation,[],[f120]) ).
fof(f203,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X1)
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f142]) ).
fof(f204,plain,
! [X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,set_intersection2(X0,X1)) ),
inference(equality_resolution,[],[f141]) ).
fof(f205,plain,
! [X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,set_intersection2(X0,X1)) ),
inference(equality_resolution,[],[f140]) ).
fof(f206,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| in(X4,X1)
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f148]) ).
fof(f207,plain,
! [X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,set_difference(X0,X1)) ),
inference(equality_resolution,[],[f147]) ).
fof(f208,plain,
! [X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,set_difference(X0,X1)) ),
inference(equality_resolution,[],[f146]) ).
cnf(c_69,plain,
( ~ in(X0,X1)
| ~ in(X0,X2)
| in(X0,set_intersection2(X2,X1)) ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_70,plain,
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X2) ),
inference(cnf_transformation,[],[f204]) ).
cnf(c_71,plain,
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_75,plain,
( ~ in(X0,X1)
| in(X0,set_difference(X1,X2))
| in(X0,X2) ),
inference(cnf_transformation,[],[f206]) ).
cnf(c_76,plain,
( ~ in(X0,set_difference(X1,X2))
| ~ in(X0,X2) ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_77,plain,
( ~ in(X0,set_difference(X1,X2))
| in(X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_99,plain,
( ~ in(sK7(X0,X1),X0)
| ~ in(sK7(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_100,plain,
( X0 = X1
| in(sK7(X0,X1),X0)
| in(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_114,negated_conjecture,
set_difference(sK9,set_difference(sK9,sK10)) != set_intersection2(sK9,sK10),
inference(cnf_transformation,[],[f188]) ).
cnf(c_2261,plain,
( set_difference(sK9,set_difference(sK9,sK10)) = set_intersection2(sK9,sK10)
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,set_difference(sK9,sK10)))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(sK9,sK10)) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_2263,plain,
( set_difference(sK9,set_difference(sK9,sK10)) = set_intersection2(sK9,sK10)
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,set_difference(sK9,sK10)))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(sK9,sK10)) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_2264,plain,
( in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,set_difference(sK9,sK10)))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(sK9,sK10)) ),
inference(global_subsumption_just,[status(thm)],[c_2263,c_114,c_2261]) ).
cnf(c_2283,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,set_difference(sK9,sK10)))
| ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,sK10)) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_2284,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,set_difference(sK9,sK10)))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK9) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_2285,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,set_difference(sK9,sK10)))
| ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(sK9,sK10))
| set_difference(sK9,set_difference(sK9,sK10)) = set_intersection2(sK9,sK10) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_2286,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(sK9,sK10))
| ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,set_difference(sK9,sK10))) ),
inference(global_subsumption_just,[status(thm)],[c_2285,c_114,c_2285]) ).
cnf(c_2287,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,set_difference(sK9,sK10)))
| ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(sK9,sK10)) ),
inference(renaming,[status(thm)],[c_2286]) ).
cnf(c_2329,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(sK9,sK10))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK10) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_2330,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(sK9,sK10))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK9) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_2331,plain,
in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK9),
inference(global_subsumption_just,[status(thm)],[c_2330,c_114,c_2261,c_2284,c_2330]) ).
cnf(c_2522,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK9)
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,X0))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),X0) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_2548,plain,
( in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,X0))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_2522,c_2331,c_2522]) ).
cnf(c_3148,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK9)
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,X0))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),X0) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_3165,plain,
( in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,X0))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_3148,c_2548]) ).
cnf(c_3548,plain,
( in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,set_difference(sK9,sK10)))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,sK10)) ),
inference(instantiation,[status(thm)],[c_3165]) ).
cnf(c_3553,plain,
( in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,sK10))
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK10) ),
inference(instantiation,[status(thm)],[c_3165]) ).
cnf(c_3554,plain,
in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK10),
inference(global_subsumption_just,[status(thm)],[c_3553,c_2264,c_2283,c_2329,c_3553]) ).
cnf(c_3794,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),X0)
| ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK10)
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(X0,sK10)) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_8729,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),X0)
| ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK10)
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(X0,sK10)) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_8751,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),X0)
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(X0,sK10)) ),
inference(global_subsumption_just,[status(thm)],[c_8729,c_3554,c_3794]) ).
cnf(c_9171,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,X0))
| ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),X0) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_9381,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK9)
| in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_intersection2(sK9,sK10)) ),
inference(instantiation,[status(thm)],[c_8751]) ).
cnf(c_17233,plain,
( ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),set_difference(sK9,sK10))
| ~ in(sK7(set_difference(sK9,set_difference(sK9,sK10)),set_intersection2(sK9,sK10)),sK10) ),
inference(instantiation,[status(thm)],[c_9171]) ).
cnf(c_17234,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_17233,c_9381,c_3554,c_3548,c_2331,c_2287]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU138+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Aug 23 19:26:16 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.85/2.11 % SZS status Started for theBenchmark.p
% 9.85/2.11 % SZS status Theorem for theBenchmark.p
% 9.85/2.11
% 9.85/2.11 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.85/2.11
% 9.85/2.11 ------ iProver source info
% 9.85/2.11
% 9.85/2.11 git: date: 2023-05-31 18:12:56 +0000
% 9.85/2.11 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.85/2.11 git: non_committed_changes: false
% 9.85/2.11 git: last_make_outside_of_git: false
% 9.85/2.11
% 9.85/2.11 ------ Parsing...
% 9.85/2.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.85/2.11
% 9.85/2.11 ------ 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
% 9.85/2.11
% 9.85/2.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.85/2.11
% 9.85/2.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.85/2.11 ------ Proving...
% 9.85/2.11 ------ Problem Properties
% 9.85/2.11
% 9.85/2.11
% 9.85/2.11 clauses 69
% 9.85/2.11 conjectures 1
% 9.85/2.11 EPR 16
% 9.85/2.11 Horn 55
% 9.85/2.11 unary 20
% 9.85/2.11 binary 28
% 9.85/2.11 lits 142
% 9.85/2.11 lits eq 33
% 9.85/2.11 fd_pure 0
% 9.85/2.11 fd_pseudo 0
% 9.85/2.11 fd_cond 3
% 9.85/2.11 fd_pseudo_cond 13
% 9.85/2.11 AC symbols 0
% 9.85/2.11
% 9.85/2.11 ------ Input Options Time Limit: Unbounded
% 9.85/2.11
% 9.85/2.11
% 9.85/2.11 ------
% 9.85/2.11 Current options:
% 9.85/2.11 ------
% 9.85/2.11
% 9.85/2.11
% 9.85/2.11
% 9.85/2.11
% 9.85/2.11 ------ Proving...
% 9.85/2.11
% 9.85/2.11
% 9.85/2.11 % SZS status Theorem for theBenchmark.p
% 9.85/2.11
% 9.85/2.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.85/2.11
% 9.85/2.12
%------------------------------------------------------------------------------