TSTP Solution File: SEU002+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU002+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 17:03:22 EDT 2023
% Result : Theorem 3.37s 1.03s
% Output : CNFRefutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 11
% Syntax : Number of formulae : 90 ( 17 unt; 0 def)
% Number of atoms : 441 ( 57 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 606 ( 255 ~; 243 |; 80 &)
% ( 9 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 159 ( 0 sgn; 109 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,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/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f5,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f9,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1)
& function(X0)
& relation(X0) )
=> ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f28,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f29,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f30,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_rng(relation_composition(X2,X1)))
=> in(X0,relation_rng(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_funct_1) ).
fof(f31,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_rng(relation_composition(X2,X1)))
=> in(X0,relation_rng(X1)) ) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f46,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,[],[f4]) ).
fof(f47,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,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f49,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f48]) ).
fof(f52,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f53,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f52]) ).
fof(f64,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
? [X0,X1] :
( ? [X2] :
( ~ in(X0,relation_rng(X1))
& in(X0,relation_rng(relation_composition(X2,X1)))
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f69,plain,
? [X0,X1] :
( ? [X2] :
( ~ in(X0,relation_rng(X1))
& in(X0,relation_rng(relation_composition(X2,X1)))
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) ),
inference(flattening,[],[f68]) ).
fof(f79,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,[],[f47]) ).
fof(f80,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,[],[f79]) ).
fof(f81,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) != sK0(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK0(X0,X1),X1) )
& ( ? [X4] :
( apply(X0,X4) = sK0(X0,X1)
& in(X4,relation_dom(X0)) )
| in(sK0(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X4] :
( apply(X0,X4) = sK0(X0,X1)
& in(X4,relation_dom(X0)) )
=> ( sK0(X0,X1) = apply(X0,sK1(X0,X1))
& in(sK1(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X5] :
( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
=> ( apply(X0,sK2(X0,X5)) = X5
& in(sK2(X0,X5),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] :
( apply(X0,X3) != sK0(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK0(X0,X1),X1) )
& ( ( sK0(X0,X1) = apply(X0,sK1(X0,X1))
& in(sK1(X0,X1),relation_dom(X0)) )
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ( apply(X0,sK2(X0,X5)) = X5
& in(sK2(X0,X5),relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f80,f83,f82,f81]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2)) )
& ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f65]) ).
fof(f104,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2)) )
& ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
( ? [X0,X1] :
( ? [X2] :
( ~ in(X0,relation_rng(X1))
& in(X0,relation_rng(relation_composition(X2,X1)))
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) )
=> ( ? [X2] :
( ~ in(sK12,relation_rng(sK13))
& in(sK12,relation_rng(relation_composition(X2,sK13)))
& function(X2)
& relation(X2) )
& function(sK13)
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X2] :
( ~ in(sK12,relation_rng(sK13))
& in(sK12,relation_rng(relation_composition(X2,sK13)))
& function(X2)
& relation(X2) )
=> ( ~ in(sK12,relation_rng(sK13))
& in(sK12,relation_rng(relation_composition(sK14,sK13)))
& function(sK14)
& relation(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ~ in(sK12,relation_rng(sK13))
& in(sK12,relation_rng(relation_composition(sK14,sK13)))
& function(sK14)
& relation(sK14)
& function(sK13)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f69,f106,f105]) ).
fof(f111,plain,
! [X0,X1,X5] :
( in(sK2(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f112,plain,
! [X0,X1,X5] :
( apply(X0,sK2(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f113,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,[],[f84]) ).
fof(f117,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f124,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f152,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f153,plain,
! [X2,X0,X1] :
( in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f154,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f155,plain,
! [X2,X0,X1] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f156,plain,
relation(sK13),
inference(cnf_transformation,[],[f107]) ).
fof(f157,plain,
function(sK13),
inference(cnf_transformation,[],[f107]) ).
fof(f158,plain,
relation(sK14),
inference(cnf_transformation,[],[f107]) ).
fof(f159,plain,
function(sK14),
inference(cnf_transformation,[],[f107]) ).
fof(f160,plain,
in(sK12,relation_rng(relation_composition(sK14,sK13))),
inference(cnf_transformation,[],[f107]) ).
fof(f161,plain,
~ in(sK12,relation_rng(sK13)),
inference(cnf_transformation,[],[f107]) ).
fof(f169,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,[],[f113]) ).
fof(f170,plain,
! [X0,X6] :
( in(apply(X0,X6),relation_rng(X0))
| ~ in(X6,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f169]) ).
fof(f171,plain,
! [X0,X5] :
( apply(X0,sK2(X0,X5)) = X5
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f112]) ).
fof(f172,plain,
! [X0,X5] :
( in(sK2(X0,X5),relation_dom(X0))
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f111]) ).
cnf(c_55,plain,
( ~ in(X0,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| in(apply(X1,X0),relation_rng(X1)) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_56,plain,
( ~ in(X0,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| apply(X1,sK2(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_57,plain,
( ~ in(X0,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| in(sK2(X1,X0),relation_dom(X1)) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_58,plain,
( ~ relation(X0)
| ~ relation(X1)
| relation(relation_composition(X1,X0)) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_64,plain,
( ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1)
| function(relation_composition(X1,X0)) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_93,plain,
( ~ in(apply(X0,X1),relation_dom(X2))
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ function(X2)
| ~ relation(X0)
| ~ relation(X2)
| in(X1,relation_dom(relation_composition(X0,X2))) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_94,plain,
( ~ in(X0,relation_dom(relation_composition(X1,X2)))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| in(apply(X1,X0),relation_dom(X2)) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_95,plain,
( ~ in(X0,relation_dom(relation_composition(X1,X2)))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| in(X0,relation_dom(X1)) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_96,plain,
( ~ in(X0,relation_dom(relation_composition(X1,X2)))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_97,negated_conjecture,
~ in(sK12,relation_rng(sK13)),
inference(cnf_transformation,[],[f161]) ).
cnf(c_98,negated_conjecture,
in(sK12,relation_rng(relation_composition(sK14,sK13))),
inference(cnf_transformation,[],[f160]) ).
cnf(c_99,negated_conjecture,
function(sK14),
inference(cnf_transformation,[],[f159]) ).
cnf(c_100,negated_conjecture,
relation(sK14),
inference(cnf_transformation,[],[f158]) ).
cnf(c_101,negated_conjecture,
function(sK13),
inference(cnf_transformation,[],[f157]) ).
cnf(c_102,negated_conjecture,
relation(sK13),
inference(cnf_transformation,[],[f156]) ).
cnf(c_2453,plain,
( ~ in(sK12,relation_rng(relation_composition(sK14,sK13)))
| ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13))
| in(sK2(relation_composition(sK14,sK13),sK12),relation_dom(relation_composition(sK14,sK13))) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2678,plain,
( ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13))
| apply(relation_composition(sK14,sK13),sK2(relation_composition(sK14,sK13),sK12)) = sK12 ),
inference(superposition,[status(thm)],[c_98,c_56]) ).
cnf(c_2910,plain,
( ~ relation(relation_composition(sK14,sK13))
| ~ function(sK13)
| ~ function(sK14)
| ~ relation(sK13)
| ~ relation(sK14)
| apply(relation_composition(sK14,sK13),sK2(relation_composition(sK14,sK13),sK12)) = sK12 ),
inference(superposition,[status(thm)],[c_64,c_2678]) ).
cnf(c_2911,plain,
( ~ relation(relation_composition(sK14,sK13))
| apply(relation_composition(sK14,sK13),sK2(relation_composition(sK14,sK13),sK12)) = sK12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2910,c_100,c_102,c_99,c_101]) ).
cnf(c_2921,plain,
( ~ relation(sK13)
| ~ relation(sK14)
| apply(relation_composition(sK14,sK13),sK2(relation_composition(sK14,sK13),sK12)) = sK12 ),
inference(superposition,[status(thm)],[c_58,c_2911]) ).
cnf(c_2923,plain,
apply(relation_composition(sK14,sK13),sK2(relation_composition(sK14,sK13),sK12)) = sK12,
inference(forward_subsumption_resolution,[status(thm)],[c_2921,c_100,c_102]) ).
cnf(c_3184,plain,
( ~ in(sK2(relation_composition(sK14,sK13),sK12),relation_dom(relation_composition(sK14,sK13)))
| ~ in(sK12,relation_dom(X0))
| ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13))
| ~ function(X0)
| ~ relation(X0)
| in(sK2(relation_composition(sK14,sK13),sK12),relation_dom(relation_composition(relation_composition(sK14,sK13),X0))) ),
inference(superposition,[status(thm)],[c_2923,c_93]) ).
cnf(c_3397,plain,
( ~ in(sK12,relation_dom(X0))
| ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13))
| ~ function(X0)
| ~ relation(X0)
| in(sK2(relation_composition(sK14,sK13),sK12),relation_dom(relation_composition(relation_composition(sK14,sK13),X0))) ),
inference(global_subsumption_just,[status(thm)],[c_3184,c_98,c_2453,c_3184]) ).
cnf(c_3417,plain,
( ~ in(sK12,relation_dom(X0))
| ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13))
| ~ function(X0)
| ~ relation(X0)
| in(sK2(relation_composition(sK14,sK13),sK12),relation_dom(relation_composition(sK14,sK13))) ),
inference(superposition,[status(thm)],[c_3397,c_95]) ).
cnf(c_3523,plain,
( ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13))
| in(sK2(relation_composition(sK14,sK13),sK12),relation_dom(relation_composition(sK14,sK13))) ),
inference(global_subsumption_just,[status(thm)],[c_3417,c_98,c_2453]) ).
cnf(c_3534,plain,
( ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13))
| ~ function(sK13)
| ~ function(sK14)
| ~ relation(sK13)
| ~ relation(sK14)
| apply(relation_composition(sK14,sK13),sK2(relation_composition(sK14,sK13),sK12)) = apply(sK13,apply(sK14,sK2(relation_composition(sK14,sK13),sK12))) ),
inference(superposition,[status(thm)],[c_3523,c_96]) ).
cnf(c_3535,plain,
( ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13))
| ~ function(sK13)
| ~ function(sK14)
| ~ relation(sK13)
| ~ relation(sK14)
| in(apply(sK14,sK2(relation_composition(sK14,sK13),sK12)),relation_dom(sK13)) ),
inference(superposition,[status(thm)],[c_3523,c_94]) ).
cnf(c_3550,plain,
( ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13))
| in(apply(sK14,sK2(relation_composition(sK14,sK13),sK12)),relation_dom(sK13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3535,c_100,c_102,c_99,c_101]) ).
cnf(c_3554,plain,
( ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13))
| ~ function(sK13)
| ~ function(sK14)
| ~ relation(sK13)
| ~ relation(sK14)
| apply(sK13,apply(sK14,sK2(relation_composition(sK14,sK13),sK12))) = sK12 ),
inference(light_normalisation,[status(thm)],[c_3534,c_2923]) ).
cnf(c_3555,plain,
( ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13))
| apply(sK13,apply(sK14,sK2(relation_composition(sK14,sK13),sK12))) = sK12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3554,c_100,c_102,c_99,c_101]) ).
cnf(c_3628,plain,
( ~ relation(relation_composition(sK14,sK13))
| ~ function(sK13)
| ~ function(sK14)
| ~ relation(sK13)
| ~ relation(sK14)
| apply(sK13,apply(sK14,sK2(relation_composition(sK14,sK13),sK12))) = sK12 ),
inference(superposition,[status(thm)],[c_64,c_3555]) ).
cnf(c_3630,plain,
( ~ relation(relation_composition(sK14,sK13))
| apply(sK13,apply(sK14,sK2(relation_composition(sK14,sK13),sK12))) = sK12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3628,c_100,c_102,c_99,c_101]) ).
cnf(c_4070,plain,
( ~ relation(sK13)
| ~ relation(sK14)
| apply(sK13,apply(sK14,sK2(relation_composition(sK14,sK13),sK12))) = sK12 ),
inference(superposition,[status(thm)],[c_58,c_3630]) ).
cnf(c_4072,plain,
apply(sK13,apply(sK14,sK2(relation_composition(sK14,sK13),sK12))) = sK12,
inference(forward_subsumption_resolution,[status(thm)],[c_4070,c_100,c_102]) ).
cnf(c_4076,plain,
( ~ in(apply(sK14,sK2(relation_composition(sK14,sK13),sK12)),relation_dom(sK13))
| ~ function(sK13)
| ~ relation(sK13)
| in(sK12,relation_rng(sK13)) ),
inference(superposition,[status(thm)],[c_4072,c_55]) ).
cnf(c_4077,plain,
~ in(apply(sK14,sK2(relation_composition(sK14,sK13),sK12)),relation_dom(sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_4076,c_97,c_102,c_101]) ).
cnf(c_4078,plain,
( ~ function(relation_composition(sK14,sK13))
| ~ relation(relation_composition(sK14,sK13)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3550,c_4077]) ).
cnf(c_4086,plain,
( ~ relation(relation_composition(sK14,sK13))
| ~ function(sK13)
| ~ function(sK14)
| ~ relation(sK13)
| ~ relation(sK14) ),
inference(superposition,[status(thm)],[c_64,c_4078]) ).
cnf(c_4088,plain,
~ relation(relation_composition(sK14,sK13)),
inference(forward_subsumption_resolution,[status(thm)],[c_4086,c_100,c_102,c_99,c_101]) ).
cnf(c_4090,plain,
( ~ relation(sK13)
| ~ relation(sK14) ),
inference(superposition,[status(thm)],[c_58,c_4088]) ).
cnf(c_4092,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4090,c_100,c_102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SEU002+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.10 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n004.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Wed Aug 23 12:14:38 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.37/1.03 % SZS status Started for theBenchmark.p
% 3.37/1.03 % SZS status Theorem for theBenchmark.p
% 3.37/1.03
% 3.37/1.03 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.37/1.03
% 3.37/1.03 ------ iProver source info
% 3.37/1.03
% 3.37/1.03 git: date: 2023-05-31 18:12:56 +0000
% 3.37/1.03 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.37/1.03 git: non_committed_changes: false
% 3.37/1.03 git: last_make_outside_of_git: false
% 3.37/1.03
% 3.37/1.03 ------ Parsing...
% 3.37/1.03 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.37/1.03
% 3.37/1.03 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.37/1.03
% 3.37/1.03 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.37/1.03
% 3.37/1.03 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.37/1.03 ------ Proving...
% 3.37/1.03 ------ Problem Properties
% 3.37/1.03
% 3.37/1.03
% 3.37/1.03 clauses 56
% 3.37/1.03 conjectures 6
% 3.37/1.03 EPR 23
% 3.37/1.03 Horn 52
% 3.37/1.03 unary 22
% 3.37/1.03 binary 12
% 3.37/1.03 lits 137
% 3.37/1.03 lits eq 9
% 3.37/1.03 fd_pure 0
% 3.37/1.03 fd_pseudo 0
% 3.37/1.03 fd_cond 1
% 3.37/1.03 fd_pseudo_cond 4
% 3.37/1.03 AC symbols 0
% 3.37/1.03
% 3.37/1.03 ------ Schedule dynamic 5 is on
% 3.37/1.03
% 3.37/1.03 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.37/1.03
% 3.37/1.03
% 3.37/1.03 ------
% 3.37/1.03 Current options:
% 3.37/1.03 ------
% 3.37/1.03
% 3.37/1.03
% 3.37/1.03
% 3.37/1.03
% 3.37/1.03 ------ Proving...
% 3.37/1.03
% 3.37/1.03
% 3.37/1.03 % SZS status Theorem for theBenchmark.p
% 3.37/1.03
% 3.37/1.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.37/1.03
% 3.37/1.04
%------------------------------------------------------------------------------