TSTP Solution File: SEU250+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU250+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 17:05:12 EDT 2023
% Result : Theorem 12.24s 2.78s
% Output : CNFRefutation 12.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 4 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 46 ~; 40 |; 17 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 1 sgn; 40 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f209,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,X1)
& in(X0,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_wellord1) ).
fof(f216,conjecture,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_field(relation_restriction(X1,X0)),X0)
& subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_wellord1) ).
fof(f217,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( subset(relation_field(relation_restriction(X1,X0)),X0)
& subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) ) ),
inference(negated_conjecture,[],[f216]) ).
fof(f356,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f494,plain,
! [X0,X1,X2] :
( ( in(X0,X1)
& in(X0,relation_field(X2)) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f209]) ).
fof(f495,plain,
! [X0,X1,X2] :
( ( in(X0,X1)
& in(X0,relation_field(X2)) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(flattening,[],[f494]) ).
fof(f503,plain,
? [X0,X1] :
( ( ~ subset(relation_field(relation_restriction(X1,X0)),X0)
| ~ subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) )
& relation(X1) ),
inference(ennf_transformation,[],[f217]) ).
fof(f724,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f356]) ).
fof(f725,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f724]) ).
fof(f726,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK44(X0,X1),X1)
& in(sK44(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f727,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK44(X0,X1),X1)
& in(sK44(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f725,f726]) ).
fof(f882,plain,
( ? [X0,X1] :
( ( ~ subset(relation_field(relation_restriction(X1,X0)),X0)
| ~ subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) )
& relation(X1) )
=> ( ( ~ subset(relation_field(relation_restriction(sK105,sK104)),sK104)
| ~ subset(relation_field(relation_restriction(sK105,sK104)),relation_field(sK105)) )
& relation(sK105) ) ),
introduced(choice_axiom,[]) ).
fof(f883,plain,
( ( ~ subset(relation_field(relation_restriction(sK105,sK104)),sK104)
| ~ subset(relation_field(relation_restriction(sK105,sK104)),relation_field(sK105)) )
& relation(sK105) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK104,sK105])],[f503,f882]) ).
fof(f1098,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK44(X0,X1),X0) ),
inference(cnf_transformation,[],[f727]) ).
fof(f1099,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK44(X0,X1),X1) ),
inference(cnf_transformation,[],[f727]) ).
fof(f1414,plain,
! [X2,X0,X1] :
( in(X0,relation_field(X2))
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f495]) ).
fof(f1415,plain,
! [X2,X0,X1] :
( in(X0,X1)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f495]) ).
fof(f1423,plain,
relation(sK105),
inference(cnf_transformation,[],[f883]) ).
fof(f1424,plain,
( ~ subset(relation_field(relation_restriction(sK105,sK104)),sK104)
| ~ subset(relation_field(relation_restriction(sK105,sK104)),relation_field(sK105)) ),
inference(cnf_transformation,[],[f883]) ).
cnf(c_194,plain,
( ~ in(sK44(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f1099]) ).
cnf(c_195,plain,
( in(sK44(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f1098]) ).
cnf(c_510,plain,
( ~ in(X0,relation_field(relation_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,X2) ),
inference(cnf_transformation,[],[f1415]) ).
cnf(c_511,plain,
( ~ in(X0,relation_field(relation_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,relation_field(X1)) ),
inference(cnf_transformation,[],[f1414]) ).
cnf(c_519,negated_conjecture,
( ~ subset(relation_field(relation_restriction(sK105,sK104)),relation_field(sK105))
| ~ subset(relation_field(relation_restriction(sK105,sK104)),sK104) ),
inference(cnf_transformation,[],[f1424]) ).
cnf(c_520,negated_conjecture,
relation(sK105),
inference(cnf_transformation,[],[f1423]) ).
cnf(c_2052,plain,
( in(sK44(relation_field(relation_restriction(sK105,sK104)),sK104),relation_field(relation_restriction(sK105,sK104)))
| subset(relation_field(relation_restriction(sK105,sK104)),sK104) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_2250,plain,
( ~ in(sK44(relation_field(relation_restriction(sK105,sK104)),sK104),sK104)
| subset(relation_field(relation_restriction(sK105,sK104)),sK104) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_4088,plain,
( ~ in(sK44(relation_field(relation_restriction(sK105,sK104)),relation_field(sK105)),relation_field(sK105))
| subset(relation_field(relation_restriction(sK105,sK104)),relation_field(sK105)) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_4090,plain,
( in(sK44(relation_field(relation_restriction(sK105,sK104)),relation_field(sK105)),relation_field(relation_restriction(sK105,sK104)))
| subset(relation_field(relation_restriction(sK105,sK104)),relation_field(sK105)) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_5071,plain,
( ~ in(sK44(relation_field(relation_restriction(sK105,sK104)),sK104),relation_field(relation_restriction(sK105,sK104)))
| ~ relation(sK105)
| in(sK44(relation_field(relation_restriction(sK105,sK104)),sK104),sK104) ),
inference(instantiation,[status(thm)],[c_510]) ).
cnf(c_5072,negated_conjecture,
~ subset(relation_field(relation_restriction(sK105,sK104)),relation_field(sK105)),
inference(global_subsumption_just,[status(thm)],[c_519,c_520,c_519,c_2052,c_2250,c_5071]) ).
cnf(c_10278,plain,
( ~ in(sK44(relation_field(relation_restriction(sK105,sK104)),relation_field(sK105)),relation_field(relation_restriction(sK105,sK104)))
| ~ relation(sK105)
| in(sK44(relation_field(relation_restriction(sK105,sK104)),relation_field(sK105)),relation_field(sK105)) ),
inference(instantiation,[status(thm)],[c_511]) ).
cnf(c_10280,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10278,c_5072,c_4088,c_4090,c_520]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU250+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.15/0.34 % Computer : n011.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 24 01:32:37 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 12.24/2.78 % SZS status Started for theBenchmark.p
% 12.24/2.78 % SZS status Theorem for theBenchmark.p
% 12.24/2.78
% 12.24/2.78 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 12.24/2.78
% 12.24/2.78 ------ iProver source info
% 12.24/2.78
% 12.24/2.78 git: date: 2023-05-31 18:12:56 +0000
% 12.24/2.78 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 12.24/2.78 git: non_committed_changes: false
% 12.24/2.78 git: last_make_outside_of_git: false
% 12.24/2.78
% 12.24/2.78 ------ Parsing...
% 12.24/2.78 ------ Clausification by vclausify_rel & Parsing by iProver...
% 12.24/2.78
% 12.24/2.78 ------ Preprocessing... sup_sim: 0 sf_s rm: 6 0s sf_e sup_sim: 0 sf_s rm: 2 0s sf_e
% 12.24/2.78
% 12.24/2.78 ------ Preprocessing...
% 12.24/2.78
% 12.24/2.78 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 12.24/2.78 ------ Proving...
% 12.24/2.78 ------ Problem Properties
% 12.24/2.78
% 12.24/2.78
% 12.24/2.78 clauses 570
% 12.24/2.78 conjectures 27
% 12.24/2.78 EPR 92
% 12.24/2.78 Horn 447
% 12.24/2.78 unary 88
% 12.24/2.78 binary 143
% 12.24/2.78 lits 1667
% 12.24/2.78 lits eq 260
% 12.24/2.78 fd_pure 0
% 12.24/2.78 fd_pseudo 0
% 12.24/2.78 fd_cond 21
% 12.24/2.78 fd_pseudo_cond 96
% 12.24/2.78 AC symbols 0
% 12.24/2.78
% 12.24/2.78 ------ Input Options Time Limit: Unbounded
% 12.24/2.78
% 12.24/2.78
% 12.24/2.78 ------
% 12.24/2.78 Current options:
% 12.24/2.78 ------
% 12.24/2.78
% 12.24/2.78
% 12.24/2.78
% 12.24/2.78
% 12.24/2.78 ------ Proving...
% 12.24/2.78
% 12.24/2.78
% 12.24/2.78 % SZS status Theorem for theBenchmark.p
% 12.24/2.78
% 12.24/2.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.24/2.78
% 12.24/2.78
%------------------------------------------------------------------------------