TSTP Solution File: SET677+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET677+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 15:09:04 EDT 2023
% Result : Theorem 2.88s 1.19s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 8 unt; 0 def)
% Number of atoms : 168 ( 40 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 210 ( 86 ~; 76 |; 28 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 75 ( 1 sgn; 38 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ( subset(identity_relation_of(X1),X2)
=> ( subset(X1,range(X1,X0,X2))
& domain(X1,X0,X2) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( range(X0,X1,X2) = X1
& subset(X1,domain(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
fof(f34,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34) ).
fof(f35,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( subset(identity_relation_of(X0),X1)
=> ( range(X0,X0,X1) = X0
& domain(X0,X0,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_44) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( subset(identity_relation_of(X0),X1)
=> ( range(X0,X0,X1) = X0
& domain(X0,X0,X1) = X0 ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(X1,range(X1,X0,X2))
& domain(X1,X0,X2) = X1 )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(X1,range(X1,X0,X2))
& domain(X1,X0,X2) = X1 )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( range(X0,X1,X2) = X1
& subset(X1,domain(X0,X1,X2)) )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( range(X0,X1,X2) = X1
& subset(X1,domain(X0,X1,X2)) )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f40]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ( range(X0,X0,X1) != X0
| domain(X0,X0,X1) != X0 )
& subset(identity_relation_of(X0),X1)
& ilf_type(X1,identity_relation_of_type(X0)) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f80,plain,
? [X0] :
( ? [X1] :
( ( range(X0,X0,X1) != X0
| domain(X0,X0,X1) != X0 )
& subset(identity_relation_of(X0),X1)
& ilf_type(X1,identity_relation_of_type(X0)) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f79]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) )
& ( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f44]) ).
fof(f123,plain,
( ? [X0] :
( ? [X1] :
( ( range(X0,X0,X1) != X0
| domain(X0,X0,X1) != X0 )
& subset(identity_relation_of(X0),X1)
& ilf_type(X1,identity_relation_of_type(X0)) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ( sK13 != range(sK13,sK13,X1)
| sK13 != domain(sK13,sK13,X1) )
& subset(identity_relation_of(sK13),X1)
& ilf_type(X1,identity_relation_of_type(sK13)) )
& ilf_type(sK13,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ? [X1] :
( ( sK13 != range(sK13,sK13,X1)
| sK13 != domain(sK13,sK13,X1) )
& subset(identity_relation_of(sK13),X1)
& ilf_type(X1,identity_relation_of_type(sK13)) )
=> ( ( sK13 != range(sK13,sK13,sK14)
| sK13 != domain(sK13,sK13,sK14) )
& subset(identity_relation_of(sK13),sK14)
& ilf_type(sK14,identity_relation_of_type(sK13)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ( sK13 != range(sK13,sK13,sK14)
| sK13 != domain(sK13,sK13,sK14) )
& subset(identity_relation_of(sK13),sK14)
& ilf_type(sK14,identity_relation_of_type(sK13))
& ilf_type(sK13,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f80,f124,f123]) ).
fof(f126,plain,
! [X2,X0,X1] :
( domain(X1,X0,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f39]) ).
fof(f129,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f41]) ).
fof(f134,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f83]) ).
fof(f189,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f34]) ).
fof(f191,plain,
ilf_type(sK14,identity_relation_of_type(sK13)),
inference(cnf_transformation,[],[f125]) ).
fof(f192,plain,
subset(identity_relation_of(sK13),sK14),
inference(cnf_transformation,[],[f125]) ).
fof(f193,plain,
( sK13 != range(sK13,sK13,sK14)
| sK13 != domain(sK13,sK13,sK14) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_50,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(identity_relation_of(X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| domain(X1,X2,X0) = X1 ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_51,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(identity_relation_of(X2),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| range(X1,X2,X0) = X2 ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_58,plain,
( ~ ilf_type(X0,identity_relation_of_type(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,relation_type(X1,X1)) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_111,plain,
ilf_type(X0,set_type),
inference(cnf_transformation,[],[f189]) ).
cnf(c_112,negated_conjecture,
( range(sK13,sK13,sK14) != sK13
| domain(sK13,sK13,sK14) != sK13 ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_113,negated_conjecture,
subset(identity_relation_of(sK13),sK14),
inference(cnf_transformation,[],[f192]) ).
cnf(c_114,negated_conjecture,
ilf_type(sK14,identity_relation_of_type(sK13)),
inference(cnf_transformation,[],[f191]) ).
cnf(c_262,plain,
( ~ ilf_type(X0,identity_relation_of_type(X1))
| ~ ilf_type(X1,set_type)
| ilf_type(X0,relation_type(X1,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_111,c_58]) ).
cnf(c_458,plain,
( ~ ilf_type(X0,identity_relation_of_type(X1))
| ilf_type(X0,relation_type(X1,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_262,c_111]) ).
cnf(c_467,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(identity_relation_of(X1),X0)
| ~ ilf_type(X2,set_type)
| domain(X1,X2,X0) = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_111]) ).
cnf(c_468,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(identity_relation_of(X2),X0)
| ~ ilf_type(X2,set_type)
| range(X1,X2,X0) = X2 ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_111]) ).
cnf(c_783,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(identity_relation_of(X1),X0)
| domain(X1,X2,X0) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_467,c_111]) ).
cnf(c_798,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(identity_relation_of(X2),X0)
| range(X1,X2,X0) = X2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_468,c_111]) ).
cnf(c_1391,plain,
( ~ ilf_type(X0,identity_relation_of_type(X1))
| ilf_type(X0,relation_type(X1,X1)) ),
inference(prop_impl_just,[status(thm)],[c_458]) ).
cnf(c_3571,plain,
( ~ ilf_type(sK14,identity_relation_of_type(sK13))
| ilf_type(sK14,relation_type(sK13,sK13)) ),
inference(instantiation,[status(thm)],[c_1391]) ).
cnf(c_3796,plain,
( ~ ilf_type(sK14,relation_type(sK13,X0))
| ~ subset(identity_relation_of(sK13),sK14)
| domain(sK13,X0,sK14) = sK13 ),
inference(instantiation,[status(thm)],[c_783]) ).
cnf(c_3854,plain,
( ~ ilf_type(sK14,relation_type(X0,sK13))
| ~ subset(identity_relation_of(sK13),sK14)
| range(X0,sK13,sK14) = sK13 ),
inference(instantiation,[status(thm)],[c_798]) ).
cnf(c_4094,plain,
( ~ ilf_type(sK14,relation_type(sK13,sK13))
| ~ subset(identity_relation_of(sK13),sK14)
| domain(sK13,sK13,sK14) = sK13 ),
inference(instantiation,[status(thm)],[c_3796]) ).
cnf(c_4133,plain,
( ~ ilf_type(sK14,relation_type(sK13,sK13))
| ~ subset(identity_relation_of(sK13),sK14)
| range(sK13,sK13,sK14) = sK13 ),
inference(instantiation,[status(thm)],[c_3854]) ).
cnf(c_4134,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4133,c_4094,c_3571,c_112,c_113,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET677+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 10:23:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.88/1.19 % SZS status Started for theBenchmark.p
% 2.88/1.19 % SZS status Theorem for theBenchmark.p
% 2.88/1.19
% 2.88/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.88/1.19
% 2.88/1.19 ------ iProver source info
% 2.88/1.19
% 2.88/1.19 git: date: 2023-05-31 18:12:56 +0000
% 2.88/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.88/1.19 git: non_committed_changes: false
% 2.88/1.19 git: last_make_outside_of_git: false
% 2.88/1.19
% 2.88/1.19 ------ Parsing...
% 2.88/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.88/1.19
% 2.88/1.19 ------ 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
% 2.88/1.19
% 2.88/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.88/1.19
% 2.88/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.88/1.19 ------ Proving...
% 2.88/1.19 ------ Problem Properties
% 2.88/1.19
% 2.88/1.19
% 2.88/1.19 clauses 49
% 2.88/1.19 conjectures 3
% 2.88/1.19 EPR 9
% 2.88/1.19 Horn 42
% 2.88/1.19 unary 10
% 2.88/1.19 binary 28
% 2.88/1.19 lits 101
% 2.88/1.19 lits eq 10
% 2.88/1.19 fd_pure 0
% 2.88/1.19 fd_pseudo 0
% 2.88/1.19 fd_cond 0
% 2.88/1.19 fd_pseudo_cond 2
% 2.88/1.19 AC symbols 0
% 2.88/1.19
% 2.88/1.19 ------ Schedule dynamic 5 is on
% 2.88/1.19
% 2.88/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.88/1.19
% 2.88/1.19
% 2.88/1.19 ------
% 2.88/1.19 Current options:
% 2.88/1.19 ------
% 2.88/1.19
% 2.88/1.19
% 2.88/1.19
% 2.88/1.19
% 2.88/1.19 ------ Proving...
% 2.88/1.19
% 2.88/1.19
% 2.88/1.19 % SZS status Theorem for theBenchmark.p
% 2.88/1.19
% 2.88/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.88/1.19
% 2.88/1.19
%------------------------------------------------------------------------------