TSTP Solution File: SEU413+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 17:07:02 EDT 2023
% Result : Theorem 2.41s 1.16s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 55 ( 20 unt; 0 def)
% Number of atoms : 258 ( 8 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 309 ( 106 ~; 90 |; 90 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn; 44 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( ( r2_hidden(X3,u1_struct_0(X0))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
=> r2_hidden(X2,u1_struct_0(X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( ( r2_hidden(X3,u1_struct_0(X0))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
=> r2_hidden(X2,u1_struct_0(X0)) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f7,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r1_orders_2(X0,X1,X2)
<=> r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f9,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& l1_orders_2(X0) )
=> ( l1_orders_2(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
fof(f35,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( r2_hidden(X3,u1_struct_0(X0))
& r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
=> r2_hidden(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_latsum_1) ).
fof(f50,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X0))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& l1_orders_2(X1) )
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f51,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X0))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& l1_orders_2(X1) )
& l1_orders_2(X0) ),
inference(flattening,[],[f50]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_orders_2(X0,X1,X2)
<=> r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f57,plain,
! [X0,X1] :
( ( l1_orders_2(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f58,plain,
! [X0,X1] :
( ( l1_orders_2(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f57]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f63]) ).
fof(f74,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X0))
& r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& l1_orders_2(X1) )
& l1_orders_2(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(X2,u1_struct_0(sK0))
& r2_hidden(X3,u1_struct_0(sK0))
& r1_orders_2(k1_latsum_1(sK0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),X1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) )
& l1_orders_2(X1) )
& l1_orders_2(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(X2,u1_struct_0(sK0))
& r2_hidden(X3,u1_struct_0(sK0))
& r1_orders_2(k1_latsum_1(sK0,X1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),X1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,X1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) )
& l1_orders_2(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ r2_hidden(X2,u1_struct_0(sK0))
& r2_hidden(X3,u1_struct_0(sK0))
& r1_orders_2(k1_latsum_1(sK0,sK1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) )
& l1_orders_2(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(X2,u1_struct_0(sK0))
& r2_hidden(X3,u1_struct_0(sK0))
& r1_orders_2(k1_latsum_1(sK0,sK1),X2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) )
=> ( ? [X3] :
( ~ r2_hidden(sK2,u1_struct_0(sK0))
& r2_hidden(X3,u1_struct_0(sK0))
& r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
& m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( ? [X3] :
( ~ r2_hidden(sK2,u1_struct_0(sK0))
& r2_hidden(X3,u1_struct_0(sK0))
& r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
=> ( ~ r2_hidden(sK2,u1_struct_0(sK0))
& r2_hidden(sK3,u1_struct_0(sK0))
& r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ~ r2_hidden(sK2,u1_struct_0(sK0))
& r2_hidden(sK3,u1_struct_0(sK0))
& r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
& m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
& m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
& l1_orders_2(sK1)
& l1_orders_2(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f51,f77,f76,f75,f74]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_orders_2(X0,X1,X2)
| ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) )
& ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ r1_orders_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f55]) ).
fof(f93,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f94,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f95,plain,
m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f78]) ).
fof(f96,plain,
m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f78]) ).
fof(f97,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f98,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f78]) ).
fof(f99,plain,
r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3),
inference(cnf_transformation,[],[f78]) ).
fof(f100,plain,
r2_hidden(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f78]) ).
fof(f101,plain,
~ r2_hidden(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f78]) ).
fof(f105,plain,
! [X2,X0,X1] :
( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f110,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_49,negated_conjecture,
~ r2_hidden(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f101]) ).
cnf(c_50,negated_conjecture,
r2_hidden(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f100]) ).
cnf(c_51,negated_conjecture,
r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3),
inference(cnf_transformation,[],[f99]) ).
cnf(c_52,negated_conjecture,
m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f98]) ).
cnf(c_53,negated_conjecture,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1),
inference(cnf_transformation,[],[f97]) ).
cnf(c_54,negated_conjecture,
m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f96]) ).
cnf(c_55,negated_conjecture,
m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f95]) ).
cnf(c_56,negated_conjecture,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f94]) ).
cnf(c_57,negated_conjecture,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f93]) ).
cnf(c_62,plain,
( ~ r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_65,plain,
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_83,plain,
( ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| r2_hidden(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_555,plain,
( k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) != k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))
| X1 != sK1
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| r2_hidden(X2,u1_struct_0(X0)) ),
inference(resolution_lifted,[status(thm)],[c_53,c_83]) ).
cnf(c_556,plain,
( k3_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)) != k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(k1_latsum_1(X0,sK1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK1)
| r2_hidden(X1,u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_555]) ).
cnf(c_557,plain,
( ~ l1_orders_2(X0)
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(k1_latsum_1(X0,sK1)))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| k3_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)) != k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))
| r2_hidden(X1,u1_struct_0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_556,c_56,c_556]) ).
cnf(c_558,plain,
( k3_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)) != k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(k1_latsum_1(X0,sK1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(X1,u1_struct_0(X0)) ),
inference(renaming,[status(thm)],[c_557]) ).
cnf(c_664,plain,
( k1_latsum_1(sK0,sK1) != X0
| X1 != sK2
| X2 != sK3
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) ),
inference(resolution_lifted,[status(thm)],[c_51,c_62]) ).
cnf(c_665,plain,
( ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
| ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1))) ),
inference(unflattening,[status(thm)],[c_664]) ).
cnf(c_666,plain,
( ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1))) ),
inference(global_subsumption_just,[status(thm)],[c_665,c_55,c_54,c_665]) ).
cnf(c_1747,plain,
( ~ m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| r2_hidden(X0,u1_struct_0(sK0)) ),
inference(equality_resolution,[status(thm)],[c_558]) ).
cnf(c_1748,plain,
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(sK0,sK1)))
| ~ r2_hidden(X1,u1_struct_0(sK0))
| r2_hidden(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1747,c_57,c_52]) ).
cnf(c_1764,plain,
( ~ r2_hidden(sK3,u1_struct_0(sK0))
| ~ l1_orders_2(k1_latsum_1(sK0,sK1))
| r2_hidden(sK2,u1_struct_0(sK0)) ),
inference(superposition,[status(thm)],[c_666,c_1748]) ).
cnf(c_1765,plain,
~ l1_orders_2(k1_latsum_1(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_1764,c_49,c_50]) ).
cnf(c_1895,plain,
( ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1) ),
inference(superposition,[status(thm)],[c_65,c_1765]) ).
cnf(c_1896,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1895,c_56,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 18:41:32 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.41/1.16 % SZS status Started for theBenchmark.p
% 2.41/1.16 % SZS status Theorem for theBenchmark.p
% 2.41/1.16
% 2.41/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.41/1.16
% 2.41/1.16 ------ iProver source info
% 2.41/1.16
% 2.41/1.16 git: date: 2023-05-31 18:12:56 +0000
% 2.41/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.41/1.16 git: non_committed_changes: false
% 2.41/1.16 git: last_make_outside_of_git: false
% 2.41/1.16
% 2.41/1.16 ------ Parsing...
% 2.41/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.41/1.16
% 2.41/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 2.41/1.16
% 2.41/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.41/1.16
% 2.41/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.41/1.16 ------ Proving...
% 2.41/1.16 ------ Problem Properties
% 2.41/1.16
% 2.41/1.16
% 2.41/1.16 clauses 39
% 2.41/1.16 conjectures 7
% 2.41/1.16 EPR 12
% 2.41/1.16 Horn 38
% 2.41/1.16 unary 19
% 2.41/1.16 binary 10
% 2.41/1.16 lits 72
% 2.41/1.16 lits eq 11
% 2.41/1.16 fd_pure 0
% 2.41/1.16 fd_pseudo 0
% 2.41/1.16 fd_cond 1
% 2.41/1.16 fd_pseudo_cond 3
% 2.41/1.16 AC symbols 0
% 2.41/1.16
% 2.41/1.16 ------ Schedule dynamic 5 is on
% 2.41/1.16
% 2.41/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.41/1.16
% 2.41/1.16
% 2.41/1.16 ------
% 2.41/1.16 Current options:
% 2.41/1.16 ------
% 2.41/1.16
% 2.41/1.16
% 2.41/1.16
% 2.41/1.16
% 2.41/1.16 ------ Proving...
% 2.41/1.16
% 2.41/1.16
% 2.41/1.16 % SZS status Theorem for theBenchmark.p
% 2.41/1.16
% 2.41/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.41/1.16
% 2.41/1.16
%------------------------------------------------------------------------------