TSTP Solution File: SEU424+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% 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 17:07:11 EDT 2023
% Result : Theorem 2.56s 1.17s
% Output : CNFRefutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 100 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 111 ( 46 ~; 33 |; 21 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 79 ( 0 sgn; 36 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& m1_subset_1(X2,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_22__relset_2) ).
fof(f57,plain,
? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(flattening,[],[f70]) ).
fof(f83,plain,
( ? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) )
=> ( ? [X2,X1] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,sK0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(sK0)) )
& ~ v1_xboole_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X2,X1] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,sK0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(sK0)) )
=> ( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,X3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
& m2_relset_1(X3,sK0,sK1) )
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,X3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
& m2_relset_1(X3,sK0,sK1) )
=> ( ~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
& m2_relset_1(sK3,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
& m2_relset_1(sK3,sK0,sK1)
& m1_subset_1(sK2,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f57,f85,f84,f83]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f109,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f110,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f86]) ).
fof(f111,plain,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f112,plain,
~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f86]) ).
fof(f137,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f138,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_49,negated_conjecture,
~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f112]) ).
cnf(c_50,negated_conjecture,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f111]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f110]) ).
cnf(c_52,negated_conjecture,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f109]) ).
cnf(c_77,plain,
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_78,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_80,plain,
( ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| m1_subset_1(a_4_0_relset_2(X1,X2,X3,X0),k1_zfmisc_1(k1_zfmisc_1(X2)))
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_119,plain,
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_78]) ).
cnf(c_120,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_119]) ).
cnf(c_121,plain,
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_77]) ).
cnf(c_225,plain,
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| m1_subset_1(a_4_0_relset_2(X1,X2,X3,X0),k1_zfmisc_1(k1_zfmisc_1(X2)))
| v1_xboole_0(X1) ),
inference(bin_hyper_res,[status(thm)],[c_80,c_121]) ).
cnf(c_754,plain,
( X0 != sK0
| X1 != sK1
| X2 != sK3
| m1_relset_1(X2,X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_120]) ).
cnf(c_755,plain,
m1_relset_1(sK3,sK0,sK1),
inference(unflattening,[status(thm)],[c_754]) ).
cnf(c_3504,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| ~ m1_relset_1(sK3,sK0,sK1)
| m1_subset_1(a_4_0_relset_2(sK0,sK1,X0,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| v1_xboole_0(sK0) ),
inference(instantiation,[status(thm)],[c_225]) ).
cnf(c_6144,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_relset_1(sK3,sK0,sK1)
| m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| v1_xboole_0(sK0) ),
inference(instantiation,[status(thm)],[c_3504]) ).
cnf(c_6145,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6144,c_755,c_49,c_51,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 01:53:42 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.56/1.17 % SZS status Started for theBenchmark.p
% 2.56/1.17 % SZS status Theorem for theBenchmark.p
% 2.56/1.17
% 2.56/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.56/1.17
% 2.56/1.17 ------ iProver source info
% 2.56/1.17
% 2.56/1.17 git: date: 2023-05-31 18:12:56 +0000
% 2.56/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.56/1.17 git: non_committed_changes: false
% 2.56/1.17 git: last_make_outside_of_git: false
% 2.56/1.17
% 2.56/1.17 ------ Parsing...
% 2.56/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.56/1.17
% 2.56/1.17 ------ 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
% 2.56/1.17
% 2.56/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.56/1.17
% 2.56/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.56/1.17 ------ Proving...
% 2.56/1.17 ------ Problem Properties
% 2.56/1.17
% 2.56/1.17
% 2.56/1.17 clauses 40
% 2.56/1.17 conjectures 4
% 2.56/1.17 EPR 13
% 2.56/1.17 Horn 32
% 2.56/1.17 unary 15
% 2.56/1.17 binary 11
% 2.56/1.17 lits 87
% 2.56/1.17 lits eq 7
% 2.56/1.17 fd_pure 0
% 2.56/1.17 fd_pseudo 0
% 2.56/1.17 fd_cond 1
% 2.56/1.17 fd_pseudo_cond 3
% 2.56/1.17 AC symbols 0
% 2.56/1.17
% 2.56/1.17 ------ Schedule dynamic 5 is on
% 2.56/1.17
% 2.56/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.56/1.17
% 2.56/1.17
% 2.56/1.17 ------
% 2.56/1.17 Current options:
% 2.56/1.17 ------
% 2.56/1.17
% 2.56/1.17
% 2.56/1.17
% 2.56/1.17
% 2.56/1.17 ------ Proving...
% 2.56/1.17
% 2.56/1.17
% 2.56/1.17 % SZS status Theorem for theBenchmark.p
% 2.56/1.17
% 2.56/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.56/1.17
% 2.56/1.17
%------------------------------------------------------------------------------