TSTP Solution File: SEU039+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU039+1 : TPTP v8.1.2. Released v3.2.0.
% 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 17:03:29 EDT 2023
% Result : Theorem 3.69s 1.09s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 78 ( 15 unt; 0 def)
% Number of atoms : 404 ( 95 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 532 ( 206 ~; 197 |; 100 &)
% ( 11 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 190 ( 2 sgn; 138 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,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(f7,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f8,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f15,axiom,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f39,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,X0)
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_funct_1) ).
fof(f42,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( in(X1,X0)
& in(X1,relation_dom(X2)) )
=> in(apply(X2,X1),relation_rng(relation_dom_restriction(X2,X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t73_funct_1) ).
fof(f43,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( ( in(X1,X0)
& in(X1,relation_dom(X2)) )
=> in(apply(X2,X1),relation_rng(relation_dom_restriction(X2,X0))) ) ),
inference(negated_conjecture,[],[f42]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f63,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f64,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f63]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f79]) ).
fof(f82,plain,
! [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1)
| ~ in(X1,X0)
| ~ function(X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f83,plain,
! [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1)
| ~ in(X1,X0)
| ~ function(X2)
| ~ relation(X2) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
? [X0,X1,X2] :
( ~ in(apply(X2,X1),relation_rng(relation_dom_restriction(X2,X0)))
& in(X1,X0)
& in(X1,relation_dom(X2))
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f43]) ).
fof(f85,plain,
? [X0,X1,X2] :
( ~ in(apply(X2,X1),relation_rng(relation_dom_restriction(X2,X0)))
& in(X1,X0)
& in(X1,relation_dom(X2))
& function(X2)
& relation(X2) ),
inference(flattening,[],[f84]) ).
fof(f88,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,[],[f6]) ).
fof(f89,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,[],[f88]) ).
fof(f90,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,[],[f89]) ).
fof(f91,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(f92,plain,
! [X0,X1,X2] :
( ( set_intersection2(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_intersection2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f90,f91]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f57]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( apply(X0,X3) != sK1(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK1(X0,X1),X1) )
& ( ? [X4] :
( apply(X0,X4) = sK1(X0,X1)
& in(X4,relation_dom(X0)) )
| in(sK1(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1] :
( ? [X4] :
( apply(X0,X4) = sK1(X0,X1)
& in(X4,relation_dom(X0)) )
=> ( sK1(X0,X1) = apply(X0,sK2(X0,X1))
& in(sK2(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X5] :
( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
=> ( apply(X0,sK3(X0,X5)) = X5
& in(sK3(X0,X5),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] :
( apply(X0,X3) != sK1(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK1(X0,X1),X1) )
& ( ( sK1(X0,X1) = apply(X0,sK2(X0,X1))
& in(sK2(X0,X1),relation_dom(X0)) )
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ( apply(X0,sK3(X0,X5)) = X5
& in(sK3(X0,X5),relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f94,f97,f96,f95]) ).
fof(f121,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f80]) ).
fof(f122,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
! [X1,X2] :
( ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) )
=> ( apply(X1,sK15(X1,X2)) != apply(X2,sK15(X1,X2))
& in(sK15(X1,X2),relation_dom(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| ( apply(X1,sK15(X1,X2)) != apply(X2,sK15(X1,X2))
& in(sK15(X1,X2),relation_dom(X1)) )
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
& ( ( ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f123,f124]) ).
fof(f126,plain,
( ? [X0,X1,X2] :
( ~ in(apply(X2,X1),relation_rng(relation_dom_restriction(X2,X0)))
& in(X1,X0)
& in(X1,relation_dom(X2))
& function(X2)
& relation(X2) )
=> ( ~ in(apply(sK18,sK17),relation_rng(relation_dom_restriction(sK18,sK16)))
& in(sK17,sK16)
& in(sK17,relation_dom(sK18))
& function(sK18)
& relation(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ~ in(apply(sK18,sK17),relation_rng(relation_dom_restriction(sK18,sK16)))
& in(sK17,sK16)
& in(sK17,relation_dom(sK18))
& function(sK18)
& relation(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f85,f126]) ).
fof(f136,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f92]) ).
fof(f142,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f146,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f157,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f193,plain,
! [X2,X0,X1] :
( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
| relation_dom_restriction(X2,X0) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f198,plain,
! [X2,X0,X1] :
( apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1)
| ~ in(X1,X0)
| ~ function(X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f199,plain,
relation(sK18),
inference(cnf_transformation,[],[f127]) ).
fof(f200,plain,
function(sK18),
inference(cnf_transformation,[],[f127]) ).
fof(f201,plain,
in(sK17,relation_dom(sK18)),
inference(cnf_transformation,[],[f127]) ).
fof(f202,plain,
in(sK17,sK16),
inference(cnf_transformation,[],[f127]) ).
fof(f203,plain,
~ in(apply(sK18,sK17),relation_rng(relation_dom_restriction(sK18,sK16))),
inference(cnf_transformation,[],[f127]) ).
fof(f206,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X1)
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f136]) ).
fof(f209,plain,
! [X0,X1,X6] :
( in(apply(X0,X6),X1)
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f142]) ).
fof(f210,plain,
! [X0,X6] :
( in(apply(X0,X6),relation_rng(X0))
| ~ in(X6,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f209]) ).
fof(f214,plain,
! [X2,X0] :
( set_intersection2(relation_dom(X2),X0) = relation_dom(relation_dom_restriction(X2,X0))
| ~ function(X2)
| ~ relation(X2)
| ~ function(relation_dom_restriction(X2,X0))
| ~ relation(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f193]) ).
cnf(c_56,plain,
( ~ in(X0,X1)
| ~ in(X0,X2)
| in(X0,set_intersection2(X2,X1)) ),
inference(cnf_transformation,[],[f206]) ).
cnf(c_62,plain,
( ~ in(X0,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| in(apply(X1,X0),relation_rng(X1)) ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_65,plain,
( ~ relation(X0)
| relation(relation_dom_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_75,plain,
( ~ function(X0)
| ~ relation(X0)
| function(relation_dom_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_115,plain,
( ~ function(relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ function(X0)
| ~ relation(X0)
| set_intersection2(relation_dom(X0),X1) = relation_dom(relation_dom_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_117,plain,
( ~ in(X0,X1)
| ~ function(X2)
| ~ relation(X2)
| apply(relation_dom_restriction(X2,X1),X0) = apply(X2,X0) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_118,negated_conjecture,
~ in(apply(sK18,sK17),relation_rng(relation_dom_restriction(sK18,sK16))),
inference(cnf_transformation,[],[f203]) ).
cnf(c_119,negated_conjecture,
in(sK17,sK16),
inference(cnf_transformation,[],[f202]) ).
cnf(c_120,negated_conjecture,
in(sK17,relation_dom(sK18)),
inference(cnf_transformation,[],[f201]) ).
cnf(c_121,negated_conjecture,
function(sK18),
inference(cnf_transformation,[],[f200]) ).
cnf(c_122,negated_conjecture,
relation(sK18),
inference(cnf_transformation,[],[f199]) ).
cnf(c_162,plain,
( ~ function(X0)
| ~ relation(X0)
| set_intersection2(relation_dom(X0),X1) = relation_dom(relation_dom_restriction(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_115,c_65,c_75,c_115]) ).
cnf(c_2549,plain,
( ~ relation(sK18)
| set_intersection2(relation_dom(sK18),X0) = relation_dom(relation_dom_restriction(sK18,X0)) ),
inference(superposition,[status(thm)],[c_121,c_162]) ).
cnf(c_2555,plain,
set_intersection2(relation_dom(sK18),X0) = relation_dom(relation_dom_restriction(sK18,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2549,c_122]) ).
cnf(c_2745,plain,
( ~ in(X0,relation_dom(sK18))
| ~ in(X0,X1)
| in(X0,relation_dom(relation_dom_restriction(sK18,X1))) ),
inference(superposition,[status(thm)],[c_2555,c_56]) ).
cnf(c_3581,plain,
( ~ function(X0)
| ~ relation(X0)
| apply(relation_dom_restriction(X0,sK16),sK17) = apply(X0,sK17) ),
inference(superposition,[status(thm)],[c_119,c_117]) ).
cnf(c_4553,plain,
( ~ relation(sK18)
| apply(relation_dom_restriction(sK18,sK16),sK17) = apply(sK18,sK17) ),
inference(superposition,[status(thm)],[c_121,c_3581]) ).
cnf(c_4561,plain,
apply(relation_dom_restriction(sK18,sK16),sK17) = apply(sK18,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_4553,c_122]) ).
cnf(c_4630,plain,
( ~ in(sK17,relation_dom(relation_dom_restriction(sK18,sK16)))
| ~ function(relation_dom_restriction(sK18,sK16))
| ~ relation(relation_dom_restriction(sK18,sK16))
| in(apply(sK18,sK17),relation_rng(relation_dom_restriction(sK18,sK16))) ),
inference(superposition,[status(thm)],[c_4561,c_62]) ).
cnf(c_4631,plain,
( ~ in(sK17,relation_dom(relation_dom_restriction(sK18,sK16)))
| ~ function(relation_dom_restriction(sK18,sK16))
| ~ relation(relation_dom_restriction(sK18,sK16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4630,c_118]) ).
cnf(c_4798,plain,
( ~ in(sK17,relation_dom(sK18))
| ~ function(relation_dom_restriction(sK18,sK16))
| ~ relation(relation_dom_restriction(sK18,sK16))
| ~ in(sK17,sK16) ),
inference(superposition,[status(thm)],[c_2745,c_4631]) ).
cnf(c_4799,plain,
( ~ function(relation_dom_restriction(sK18,sK16))
| ~ relation(relation_dom_restriction(sK18,sK16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4798,c_119,c_120]) ).
cnf(c_4808,plain,
( ~ relation(relation_dom_restriction(sK18,sK16))
| ~ function(sK18)
| ~ relation(sK18) ),
inference(superposition,[status(thm)],[c_75,c_4799]) ).
cnf(c_4809,plain,
~ relation(relation_dom_restriction(sK18,sK16)),
inference(forward_subsumption_resolution,[status(thm)],[c_4808,c_122,c_121]) ).
cnf(c_5033,plain,
~ relation(sK18),
inference(superposition,[status(thm)],[c_65,c_4809]) ).
cnf(c_5034,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5033,c_122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU039+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : run_iprover %s %d THM
% 0.10/0.29 % Computer : n020.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Thu Aug 24 01:32:01 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.69/1.09 % SZS status Started for theBenchmark.p
% 3.69/1.09 % SZS status Theorem for theBenchmark.p
% 3.69/1.09
% 3.69/1.09 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.69/1.09
% 3.69/1.09 ------ iProver source info
% 3.69/1.09
% 3.69/1.09 git: date: 2023-05-31 18:12:56 +0000
% 3.69/1.09 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.69/1.09 git: non_committed_changes: false
% 3.69/1.09 git: last_make_outside_of_git: false
% 3.69/1.09
% 3.69/1.09 ------ Parsing...
% 3.69/1.09 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.69/1.09
% 3.69/1.09 ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.69/1.09
% 3.69/1.09 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.69/1.09
% 3.69/1.09 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.69/1.09 ------ Proving...
% 3.69/1.09 ------ Problem Properties
% 3.69/1.09
% 3.69/1.09
% 3.69/1.09 clauses 67
% 3.69/1.09 conjectures 5
% 3.69/1.09 EPR 27
% 3.69/1.09 Horn 60
% 3.69/1.09 unary 29
% 3.69/1.09 binary 15
% 3.69/1.09 lits 149
% 3.69/1.09 lits eq 22
% 3.69/1.09 fd_pure 0
% 3.69/1.09 fd_pseudo 0
% 3.69/1.09 fd_cond 1
% 3.69/1.09 fd_pseudo_cond 9
% 3.69/1.09 AC symbols 0
% 3.69/1.09
% 3.69/1.09 ------ Schedule dynamic 5 is on
% 3.69/1.09
% 3.69/1.09 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.69/1.09
% 3.69/1.09
% 3.69/1.09 ------
% 3.69/1.09 Current options:
% 3.69/1.09 ------
% 3.69/1.09
% 3.69/1.09
% 3.69/1.09
% 3.69/1.09
% 3.69/1.09 ------ Proving...
% 3.69/1.09
% 3.69/1.09
% 3.69/1.09 % SZS status Theorem for theBenchmark.p
% 3.69/1.09
% 3.69/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.69/1.09
% 3.69/1.09
%------------------------------------------------------------------------------