TSTP Solution File: SET027+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET027+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 15:05:42 EDT 2023
% Result : Theorem 7.40s 1.68s
% Output : CNFRefutation 7.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 93 ( 36 ~; 28 |; 21 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn; 33 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
fof(f44,conjecture,
! [X0,X1,X4] :
( ( subclass(X1,X4)
& subclass(X0,X1) )
=> subclass(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X4] :
( ( subclass(X1,X4)
& subclass(X0,X1) )
=> subclass(X0,X4) ),
inference(negated_conjecture,[],[f44]) ).
fof(f70,plain,
~ ! [X0,X1,X2] :
( ( subclass(X1,X2)
& subclass(X0,X1) )
=> subclass(X0,X2) ),
inference(rectify,[],[f45]) ).
fof(f72,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f85,plain,
? [X0,X1,X2] :
( ~ subclass(X0,X2)
& subclass(X1,X2)
& subclass(X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f86,plain,
? [X0,X1,X2] :
( ~ subclass(X0,X2)
& subclass(X1,X2)
& subclass(X0,X1) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f88,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f88,f89]) ).
fof(f135,plain,
( ? [X0,X1,X2] :
( ~ subclass(X0,X2)
& subclass(X1,X2)
& subclass(X0,X1) )
=> ( ~ subclass(sK6,sK8)
& subclass(sK7,sK8)
& subclass(sK6,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ~ subclass(sK6,sK8)
& subclass(sK7,sK8)
& subclass(sK6,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f86,f135]) ).
fof(f137,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f138,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f139,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f224,plain,
subclass(sK6,sK7),
inference(cnf_transformation,[],[f136]) ).
fof(f225,plain,
subclass(sK7,sK8),
inference(cnf_transformation,[],[f136]) ).
fof(f226,plain,
~ subclass(sK6,sK8),
inference(cnf_transformation,[],[f136]) ).
cnf(c_49,plain,
( ~ member(sK0(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_50,plain,
( member(sK0(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_51,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_128,negated_conjecture,
~ subclass(sK6,sK8),
inference(cnf_transformation,[],[f226]) ).
cnf(c_129,negated_conjecture,
subclass(sK7,sK8),
inference(cnf_transformation,[],[f225]) ).
cnf(c_130,negated_conjecture,
subclass(sK6,sK7),
inference(cnf_transformation,[],[f224]) ).
cnf(c_2934,plain,
( ~ member(sK0(sK6,sK8),sK8)
| subclass(sK6,sK8) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2936,plain,
( member(sK0(sK6,sK8),sK6)
| subclass(sK6,sK8) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_3782,plain,
( ~ member(sK0(sK6,sK8),sK6)
| ~ subclass(sK6,X0)
| member(sK0(sK6,sK8),X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_11163,plain,
( ~ member(sK0(sK6,sK8),sK6)
| ~ subclass(sK6,sK7)
| member(sK0(sK6,sK8),sK7) ),
inference(instantiation,[status(thm)],[c_3782]) ).
cnf(c_16164,plain,
( ~ member(sK0(sK6,sK8),X0)
| ~ subclass(X0,sK8)
| member(sK0(sK6,sK8),sK8) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_28905,plain,
( ~ member(sK0(sK6,sK8),sK7)
| ~ subclass(sK7,sK8)
| member(sK0(sK6,sK8),sK8) ),
inference(instantiation,[status(thm)],[c_16164]) ).
cnf(c_28906,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_28905,c_11163,c_2936,c_2934,c_128,c_129,c_130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET027+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 13:42:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.40/1.68 % SZS status Started for theBenchmark.p
% 7.40/1.68 % SZS status Theorem for theBenchmark.p
% 7.40/1.68
% 7.40/1.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.40/1.68
% 7.40/1.68 ------ iProver source info
% 7.40/1.68
% 7.40/1.68 git: date: 2023-05-31 18:12:56 +0000
% 7.40/1.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.40/1.68 git: non_committed_changes: false
% 7.40/1.68 git: last_make_outside_of_git: false
% 7.40/1.68
% 7.40/1.68 ------ Parsing...
% 7.40/1.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.40/1.68
% 7.40/1.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 7.40/1.68
% 7.40/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.40/1.68
% 7.40/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.40/1.68 ------ Proving...
% 7.40/1.68 ------ Problem Properties
% 7.40/1.68
% 7.40/1.68
% 7.40/1.68 clauses 77
% 7.40/1.68 conjectures 3
% 7.40/1.68 EPR 10
% 7.40/1.68 Horn 69
% 7.40/1.68 unary 17
% 7.40/1.68 binary 39
% 7.40/1.68 lits 159
% 7.40/1.68 lits eq 14
% 7.40/1.68 fd_pure 0
% 7.40/1.68 fd_pseudo 0
% 7.40/1.68 fd_cond 4
% 7.40/1.68 fd_pseudo_cond 3
% 7.40/1.68 AC symbols 0
% 7.40/1.68
% 7.40/1.68 ------ Schedule dynamic 5 is on
% 7.40/1.68
% 7.40/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.40/1.68
% 7.40/1.68
% 7.40/1.68 ------
% 7.40/1.68 Current options:
% 7.40/1.68 ------
% 7.40/1.68
% 7.40/1.68
% 7.40/1.68
% 7.40/1.68
% 7.40/1.68 ------ Proving...
% 7.40/1.68
% 7.40/1.68
% 7.40/1.68 % SZS status Theorem for theBenchmark.p
% 7.40/1.68
% 7.40/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.40/1.68
% 7.40/1.68
%------------------------------------------------------------------------------