%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU408+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:57:23 PM UTC 2026
% Result : Theorem 3.19s 6.20s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 63 ( 23 unt; 3 def)
% Number of atoms : 283 ( 46 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 323 ( 116 ~; 92 |; 87 &)
% ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% Number of variables : 114 ( 0 sgn 105 !; 9 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( r2_hidden(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_latsum_1) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( r2_hidden(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f7,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( l1_orders_2(X2)
& v1_orders_2(X2) )
=> ( X2 = k1_latsum_1(X0,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)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsum_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( X2 = k2_xboole_0(X0,X1)
<=> ! [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(f45,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f56,plain,
~ ! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( r2_hidden(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f57,plain,
~ ! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( r2_hidden(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
inference(pure_predicate_removal,[],[f56]) ).
fof(f58,plain,
~ ! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( r2_hidden(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
inference(pure_predicate_removal,[],[f57]) ).
fof(f59,plain,
~ ! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( r2_hidden(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
inference(pure_predicate_removal,[],[f58]) ).
fof(f60,plain,
? [X0] :
( l1_orders_2(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( r2_hidden(X2,u1_struct_0(X1))
& ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f61,plain,
? [X0] :
( l1_orders_2(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( l1_orders_2(X1)
& ~ v3_struct_0(X1)
& ? [X2] :
( r2_hidden(X2,u1_struct_0(X1))
& ~ m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) ) ) ),
inference(flattening,[],[f60]) ).
fof(f66,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ! [X1] :
( ~ l1_orders_2(X1)
| ! [X2] :
( ~ l1_orders_2(X2)
| ~ v1_orders_2(X2)
| ( X2 = k1_latsum_1(X0,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)) ) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f67,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ! [X1] :
( ~ l1_orders_2(X1)
| ! [X2] :
( ~ l1_orders_2(X2)
| ~ v1_orders_2(X2)
| ( X2 = k1_latsum_1(X0,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)) ) ) ) ) ),
inference(flattening,[],[f66]) ).
fof(f69,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f70,plain,
! [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)) ) ),
inference(flattening,[],[f69]) ).
fof(f91,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f101,plain,
( l1_orders_2(sK0)
& ~ v3_struct_0(sK0)
& l1_orders_2(sK1)
& ~ v3_struct_0(sK1)
& r2_hidden(sK2,u1_struct_0(sK1))
& ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f61]) ).
fof(f102,plain,
! [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)) ) )
& ( 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))
| X2 = k1_latsum_1(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f103,plain,
! [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)) ) )
& ( 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))
| X2 = k1_latsum_1(X0,X1) ) ) ) ) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) != 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) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| r2_hidden(X3,X0) )
& ( ~ r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) ) )
| X2 = k2_xboole_0(X0,X1) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) != 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) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| r2_hidden(X3,X0) )
& ( ~ r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) ) )
| X2 = k2_xboole_0(X0,X1) ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) != 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) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| r2_hidden(X3,X0) )
& ( ~ r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) ) )
| X2 = k2_xboole_0(X0,X1) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) != 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) ) ) )
& ( ( ( 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)
| ( ~ r2_hidden(sK3(X0,X1,X2),X1)
& ~ r2_hidden(sK3(X0,X1,X2),X0) ) ) )
| X2 = k2_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f106]) ).
fof(f118,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f120,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f101]) ).
fof(f122,plain,
r2_hidden(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f101]) ).
fof(f123,plain,
~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f101]) ).
fof(f127,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2)
| k1_latsum_1(X0,X1) != X2
| u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f133,plain,
! [X2,X0,X1,X4] :
( k2_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f107]) ).
fof(f139,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f140,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v1_orders_2(k1_latsum_1(X0,X1)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f173,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f181,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| ~ v1_orders_2(k1_latsum_1(X0,X1))
| u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(equality_resolution,[],[f129]) ).
fof(f183,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(X4,k2_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f133]) ).
tcf(c_49,negated_conjecture,
~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
inference(cnf_transformation,[],[f123]) ).
tcf(c_50,negated_conjecture,
r2_hidden(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f122]) ).
tcf(c_52,negated_conjecture,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f120]) ).
tcf(c_54,negated_conjecture,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f118]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f127]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) = u1_struct_0(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_60,c_71,c_70,c_60]) ).
tcf(c_2009,definition,
iPr_def_10 = u1_struct_0(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2010,definition,
iPr_def_11 = k1_latsum_1(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2011,definition,
iPr_def_12 = u1_struct_0(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2012,negated_conjecture,
l1_orders_2(sK0),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_2014,negated_conjecture,
l1_orders_2(sK1),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_2016,negated_conjecture,
r2_hidden(sK2,iPr_def_10),
inference(demodulation,[status(thm)],[c_50,c_2009]) ).
tcf(c_2017,negated_conjecture,
~ m1_subset_1(sK2,iPr_def_12),
inference(demodulation,[status(thm)],[c_49,c_2010,c_2011]) ).
tcf(c_3277,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_104]) ).
tcf(c_3735,plain,
! [X0: $i] :
( ( k2_xboole_0(u1_struct_0(sK0),u1_struct_0(X0)) = u1_struct_0(k1_latsum_1(sK0,X0)) )
| ~ l1_orders_2(X0) ),
inference(superposition,[status(thm)],[c_2012,c_154]) ).
tcf(c_3777,plain,
k2_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)) = u1_struct_0(k1_latsum_1(sK0,sK1)),
inference(superposition,[status(thm)],[c_2014,c_3735]) ).
tcf(c_3786,plain,
k2_xboole_0(u1_struct_0(sK0),iPr_def_10) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_3777,c_2009,c_2010,c_2011]) ).
tcf(c_3808,plain,
k2_xboole_0(iPr_def_10,u1_struct_0(sK0)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_3786,c_58]) ).
tcf(c_3817,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_12)
| ~ r2_hidden(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3808,c_3277]) ).
tcf(c_4140,plain,
m1_subset_1(sK2,iPr_def_12),
inference(superposition,[status(thm)],[c_2016,c_3817]) ).
tcf(c_4142,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4140,c_2017]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU408+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n012.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 14:01:31 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 3.19/6.20 % SZS status Started for theBenchmark.p
% 3.19/6.20 % SZS status Theorem for theBenchmark.p
% 3.19/6.20
% 3.19/6.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.19/6.20
% 3.19/6.20 % ------ iProver source info
% 3.19/6.20
% 3.19/6.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.19/6.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.19/6.20 % git: non_committed_changes: false
% 3.19/6.20
% 3.19/6.20 % ------ Parsing...
% 3.19/6.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.19/6.20
% 3.19/6.20 % ------ 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 %
% 3.19/6.20
% 3.19/6.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.19/6.20
% 3.19/6.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.19/6.20 % ------ Proving...
% 3.19/6.20 % ------ Problem Properties
% 3.19/6.20
% 3.19/6.20 %
% 3.19/6.20 % clauses 64
% 3.19/6.20 % conjectures 6
% 3.19/6.20 % EPR 19
% 3.19/6.20 % Horn 59
% 3.19/6.20 % unary 24
% 3.19/6.20 % binary 17
% 3.19/6.20 % lits 134
% 3.19/6.20 % lits eq 22
% 3.19/6.20 % fd_pure 0
% 3.19/6.20 % fd_pseudo 0
% 3.19/6.20 % fd_cond 1
% 3.19/6.20 % fd_pseudo_cond 7
% 3.19/6.20 % AC symbols 0
% 3.19/6.20
% 3.19/6.20 % ------ Schedule dynamic 5 is on
% 3.19/6.20
% 3.19/6.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.19/6.20
% 3.19/6.20
% 3.19/6.20 % ------
% 3.19/6.20 % Current options:
% 3.19/6.20 % ------
% 3.19/6.20
% 3.19/6.20
% 3.19/6.20 %
% 3.19/6.20
% 3.19/6.20 % ------ Proving...
% 3.19/6.20 %
% 3.19/6.20
% 3.19/6.20 % SZS status Theorem for theBenchmark.p
% 3.19/6.20
% 3.19/6.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.19/6.20
% 3.19/6.20
%------------------------------------------------------------------------------