TSTP Solution File: SEU407+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU407+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 : Fri May 3 03:06:06 EDT 2024
% Result : Theorem 7.55s 1.67s
% Output : CNFRefutation 7.55s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
| r2_hidden(X2,u1_struct_0(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_latsum_1) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
| r2_hidden(X2,u1_struct_0(X0)) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f7,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( l1_orders_2(X2)
& v1_orders_2(X2) )
=> ( k1_latsum_1(X0,X1) = X2
<=> ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsum_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( k2_xboole_0(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f10,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(f18,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f30,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X0) )
=> ( v1_orders_2(k1_latsum_1(X0,X1))
& ~ v3_struct_0(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_latsum_1) ).
fof(f31,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f47,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f48,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
& ~ r2_hidden(X2,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
& ~ r2_hidden(X2,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f60]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_latsum_1(X0,X1) = X2
<=> ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ) )
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_latsum_1(X0,X1) = X2
<=> ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ) )
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f66]) ).
fof(f69,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,[],[f10]) ).
fof(f70,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,[],[f69]) ).
fof(f75,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f78,plain,
! [X0,X1] :
( ( v1_orders_2(k1_latsum_1(X0,X1))
& ~ v3_struct_0(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f79,plain,
! [X0,X1] :
( ( v1_orders_2(k1_latsum_1(X0,X1))
& ~ v3_struct_0(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f81,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f80]) ).
fof(f92,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f93,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f92]) ).
fof(f101,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
& ~ r2_hidden(X2,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(sK0)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
& l1_orders_2(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(sK0)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) )
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) )
& l1_orders_2(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ? [X2] :
( ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
& ~ r2_hidden(X2,u1_struct_0(sK0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) )
=> ( ~ r2_hidden(sK2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
& ~ r2_hidden(sK2,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
( ~ r2_hidden(sK2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0)))
& ~ r2_hidden(sK2,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
& l1_orders_2(sK1)
& ~ v3_struct_0(sK1)
& l1_orders_2(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f61,f103,f102,f101]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k1_latsum_1(X0,X1) = X2
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
& ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
| k1_latsum_1(X0,X1) != X2 ) )
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f67]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k1_latsum_1(X0,X1) = X2
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
& ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
| k1_latsum_1(X0,X1) != X2 ) )
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X0) ) )
& ( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) )
=> ( ( ( ~ r2_hidden(sK3(X0,X1,X2),X1)
& ~ r2_hidden(sK3(X0,X1,X2),X0) )
| ~ r2_hidden(sK3(X0,X1,X2),X2) )
& ( r2_hidden(sK3(X0,X1,X2),X1)
| r2_hidden(sK3(X0,X1,X2),X0)
| r2_hidden(sK3(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) = X2
| ( ( ( ~ r2_hidden(sK3(X0,X1,X2),X1)
& ~ r2_hidden(sK3(X0,X1,X2),X0) )
| ~ r2_hidden(sK3(X0,X1,X2),X2) )
& ( r2_hidden(sK3(X0,X1,X2),X1)
| r2_hidden(sK3(X0,X1,X2),X0)
| r2_hidden(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X0) ) )
& ( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f109,f110]) ).
fof(f132,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f133,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f134,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f135,plain,
m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f104]) ).
fof(f136,plain,
~ r2_hidden(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f104]) ).
fof(f137,plain,
~ r2_hidden(sK2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0))),
inference(cnf_transformation,[],[f104]) ).
fof(f142,plain,
! [X2,X0,X1] :
( u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| k1_latsum_1(X0,X1) != X2
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f145,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f111]) ).
fof(f153,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f154,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f157,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f165,plain,
! [X0,X1] :
( ~ v3_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f167,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f188,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f189,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f48]) ).
fof(f199,plain,
! [X0,X1] :
( u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(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(equality_resolution,[],[f142]) ).
fof(f202,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,k2_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f145]) ).
cnf(c_49,negated_conjecture,
~ r2_hidden(sK2,k4_xboole_0(u1_struct_0(sK1),u1_struct_0(sK0))),
inference(cnf_transformation,[],[f137]) ).
cnf(c_50,negated_conjecture,
~ r2_hidden(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f136]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f135]) ).
cnf(c_52,negated_conjecture,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f134]) ).
cnf(c_53,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f133]) ).
cnf(c_54,negated_conjecture,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f132]) ).
cnf(c_62,plain,
( ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1)) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_68,plain,
( ~ r2_hidden(X0,k2_xboole_0(X1,X2))
| r2_hidden(X0,X1)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f202]) ).
cnf(c_71,plain,
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_72,plain,
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v1_orders_2(k1_latsum_1(X0,X1)) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_75,plain,
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_84,plain,
( ~ v3_struct_0(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_85,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_106,plain,
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_107,plain,
k2_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
inference(cnf_transformation,[],[f189]) ).
cnf(c_157,plain,
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_72,c_71,c_62]) ).
cnf(c_167,plain,
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_75]) ).
cnf(c_875,plain,
( X0 != X1
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_167,c_85]) ).
cnf(c_876,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_875]) ).
cnf(c_2038,plain,
k1_latsum_1(sK0,sK1) = sP0_iProver_def,
definition ).
cnf(c_2039,plain,
u1_struct_0(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_2040,plain,
u1_struct_0(sK0) = sP2_iProver_def,
definition ).
cnf(c_2041,plain,
u1_struct_0(sK1) = sP3_iProver_def,
definition ).
cnf(c_2042,plain,
k4_xboole_0(sP3_iProver_def,sP2_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_2044,negated_conjecture,
l1_orders_2(sK0),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_2045,negated_conjecture,
~ v3_struct_0(sK1),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_2046,negated_conjecture,
l1_orders_2(sK1),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_2047,negated_conjecture,
m1_subset_1(sK2,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_51,c_2038,c_2039]) ).
cnf(c_2048,negated_conjecture,
~ r2_hidden(sK2,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_50,c_2040]) ).
cnf(c_2049,negated_conjecture,
~ r2_hidden(sK2,sP4_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_2041,c_2042]) ).
cnf(c_3453,plain,
( r2_hidden(sK2,sP1_iProver_def)
| v1_xboole_0(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_2047,c_106]) ).
cnf(c_3504,plain,
( ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| l1_orders_2(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_2038,c_71]) ).
cnf(c_3505,plain,
l1_orders_2(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_3504,c_2044,c_2046]) ).
cnf(c_3533,plain,
k2_xboole_0(sP2_iProver_def,sP3_iProver_def) = k2_xboole_0(sP2_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_2042,c_107]) ).
cnf(c_3785,plain,
( ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v3_struct_0(sP0_iProver_def)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_2038,c_84]) ).
cnf(c_3786,plain,
~ v3_struct_0(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_3785,c_2045,c_2044,c_2046]) ).
cnf(c_3838,plain,
( ~ l1_orders_2(sP0_iProver_def)
| ~ v1_xboole_0(sP1_iProver_def)
| v3_struct_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_2039,c_876]) ).
cnf(c_3839,plain,
~ v1_xboole_0(sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_3838,c_3786,c_3505]) ).
cnf(c_3843,plain,
r2_hidden(sK2,sP1_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_3453,c_3839]) ).
cnf(c_3876,plain,
( ~ l1_orders_2(X0)
| k2_xboole_0(u1_struct_0(sK0),u1_struct_0(X0)) = u1_struct_0(k1_latsum_1(sK0,X0)) ),
inference(superposition,[status(thm)],[c_2044,c_157]) ).
cnf(c_3889,plain,
( ~ l1_orders_2(X0)
| u1_struct_0(k1_latsum_1(sK0,X0)) = k2_xboole_0(sP2_iProver_def,u1_struct_0(X0)) ),
inference(light_normalisation,[status(thm)],[c_3876,c_2040]) ).
cnf(c_4071,plain,
u1_struct_0(k1_latsum_1(sK0,sK1)) = k2_xboole_0(sP2_iProver_def,u1_struct_0(sK1)),
inference(superposition,[status(thm)],[c_2046,c_3889]) ).
cnf(c_4082,plain,
k2_xboole_0(sP2_iProver_def,sP3_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_4071,c_2038,c_2039,c_2041]) ).
cnf(c_4087,plain,
k2_xboole_0(sP2_iProver_def,sP4_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_3533,c_4082]) ).
cnf(c_4206,plain,
( ~ r2_hidden(X0,sP1_iProver_def)
| r2_hidden(X0,sP2_iProver_def)
| r2_hidden(X0,sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_4087,c_68]) ).
cnf(c_9713,plain,
( r2_hidden(sK2,sP2_iProver_def)
| r2_hidden(sK2,sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_3843,c_4206]) ).
cnf(c_9718,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9713,c_2049,c_2048]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU407+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n007.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 : Thu May 2 17:28:50 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.55/1.67 % SZS status Started for theBenchmark.p
% 7.55/1.67 % SZS status Theorem for theBenchmark.p
% 7.55/1.67
% 7.55/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.55/1.67
% 7.55/1.67 ------ iProver source info
% 7.55/1.67
% 7.55/1.67 git: date: 2024-05-02 19:28:25 +0000
% 7.55/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.55/1.67 git: non_committed_changes: false
% 7.55/1.67
% 7.55/1.67 ------ Parsing...
% 7.55/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.55/1.67
% 7.55/1.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 7.55/1.67
% 7.55/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.55/1.67
% 7.55/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.55/1.67 ------ Proving...
% 7.55/1.67 ------ Problem Properties
% 7.55/1.67
% 7.55/1.67
% 7.55/1.67 clauses 70
% 7.55/1.67 conjectures 7
% 7.55/1.67 EPR 20
% 7.55/1.67 Horn 65
% 7.55/1.67 unary 30
% 7.55/1.67 binary 17
% 7.55/1.67 lits 140
% 7.55/1.67 lits eq 27
% 7.55/1.67 fd_pure 0
% 7.55/1.67 fd_pseudo 0
% 7.55/1.67 fd_cond 1
% 7.55/1.67 fd_pseudo_cond 7
% 7.55/1.67 AC symbols 0
% 7.55/1.67
% 7.55/1.67 ------ Schedule dynamic 5 is on
% 7.55/1.67
% 7.55/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.55/1.67
% 7.55/1.67
% 7.55/1.67 ------
% 7.55/1.67 Current options:
% 7.55/1.67 ------
% 7.55/1.67
% 7.55/1.67
% 7.55/1.67
% 7.55/1.67
% 7.55/1.67 ------ Proving...
% 7.55/1.67
% 7.55/1.67
% 7.55/1.67 % SZS status Theorem for theBenchmark.p
% 7.55/1.67
% 7.55/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.55/1.67
% 7.55/1.67
%------------------------------------------------------------------------------