%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT291+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 : n004.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 01:58:55 PM UTC 2026
% Result : Theorem 3.32s 1.29s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 77 ( 34 unt; 6 def)
% Number of atoms : 280 ( 55 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 259 ( 104 ~; 110 |; 37 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 10 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-4 aty)
% Number of variables : 50 ( 0 sgn 48 !; 2 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) = k7_lopclset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lopclset) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) = k7_lopclset(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f40,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f50,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f90,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lopclset) ).
fof(f93,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_lopclset) ).
fof(f94,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lattice4) ).
fof(f95,axiom,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
fof(f126,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& k7_lopclset(X0) != k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f127,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& k7_lopclset(X0) != k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) ),
inference(flattening,[],[f126]) ).
fof(f166,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f167,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f166]) ).
fof(f182,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f211,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ) ),
inference(ennf_transformation,[],[f90]) ).
fof(f212,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ) ),
inference(flattening,[],[f211]) ).
fof(f216,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0 ),
inference(ennf_transformation,[],[f93]) ).
fof(f217,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0 ),
inference(flattening,[],[f216]) ).
fof(f218,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f219,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) ),
inference(flattening,[],[f218]) ).
fof(f227,plain,
( l3_lattices(sK0)
& ~ v3_realset2(sK0)
& v17_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0)
& k7_lopclset(sK0) != k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k6_lattices(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f127]) ).
fof(f251,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f227]) ).
fof(f252,plain,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f227]) ).
fof(f253,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f227]) ).
fof(f254,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f227]) ).
fof(f255,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f227]) ).
fof(f256,plain,
k7_lopclset(sK0) != k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k6_lattices(sK0)),
inference(cnf_transformation,[],[f227]) ).
fof(f327,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f339,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f429,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ),
inference(cnf_transformation,[],[f212]) ).
fof(f433,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) ),
inference(cnf_transformation,[],[f217]) ).
fof(f434,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0)) ),
inference(cnf_transformation,[],[f219]) ).
fof(f435,plain,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f95]) ).
tcf(c_49,negated_conjecture,
k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k6_lattices(sK0)) != k7_lopclset(sK0),
inference(cnf_transformation,[],[f256]) ).
tcf(c_50,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f255]) ).
tcf(c_51,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f254]) ).
tcf(c_52,negated_conjecture,
v17_lattices(sK0),
inference(cnf_transformation,[],[f253]) ).
tcf(c_53,negated_conjecture,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f252]) ).
tcf(c_54,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f251]) ).
tcf(c_112,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_123,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ( k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X0)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X0)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_218,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ( k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0 )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f433]) ).
tcf(c_219,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_220,plain,
! [X0: $i] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f435]) ).
tcf(c_429,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_123]) ).
tcf(c_2494,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_429,c_112]) ).
tcf(c_2495,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2494]) ).
tcf(c_3116,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_214]) ).
tcf(c_3117,plain,
! [X0: $i] :
( v3_struct_0(sK0)
| ( k4_xboole_0(k7_lopclset(sK0),k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k7_lattices(sK0,X0)) )
| ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_3116]) ).
tcf(c_3119,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ( k4_xboole_0(k7_lopclset(sK0),k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k7_lattices(sK0,X0)) ) ),
inference(global_subsumption_just,[status(thm)],[c_3117,c_54,c_52,c_51,c_50,c_3117]) ).
tcf(c_3120,plain,
! [X0: $i] :
( ( k4_xboole_0(k7_lopclset(sK0),k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k7_lattices(sK0,X0)) )
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(renaming,[status(thm)],[c_3119]) ).
tcf(c_3166,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0 )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_218]) ).
tcf(c_3167,plain,
( v3_struct_0(sK0)
| ( k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k5_lattices(sK0)) = k1_xboole_0 )
| ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_3166]) ).
tcf(c_3168,plain,
k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k5_lattices(sK0)) = k1_xboole_0,
inference(global_subsumption_just,[status(thm)],[c_3167,c_54,c_52,c_51,c_50,c_3167]) ).
tcf(c_3360,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_219]) ).
tcf(c_3361,plain,
( v3_struct_0(sK0)
| ( k7_lattices(sK0,k5_lattices(sK0)) = k6_lattices(sK0) )
| ~ l3_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_3360]) ).
tcf(c_3362,plain,
k7_lattices(sK0,k5_lattices(sK0)) = k6_lattices(sK0),
inference(global_subsumption_just,[status(thm)],[c_3361,c_54,c_51,c_50,c_3361]) ).
tcf(c_3626,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_2495]) ).
tcf(c_3627,plain,
( v3_struct_0(sK0)
| m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0)) ),
inference(unflattening,[status(thm)],[c_3626]) ).
tcf(c_3628,plain,
m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0)),
inference(global_subsumption_just,[status(thm)],[c_3627,c_50,c_3627]) ).
tcf(c_5439,definition,
iPr_def_11 = k5_lattices(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_5440,definition,
iPr_def_12 = u1_struct_0(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_5445,definition,
iPr_def_17 = k7_lattices(sK0,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_5450,definition,
iPr_def_22 = k1_zfmisc_1(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_5451,definition,
iPr_def_23 = k8_funct_2(iPr_def_12,iPr_def_22,iPr_def_20,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_5454,definition,
iPr_def_26 = k8_funct_2(iPr_def_12,iPr_def_22,iPr_def_20,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_5458,plain,
m1_subset_1(iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_3628,c_5440,c_5439]) ).
tcf(c_5467,plain,
iPr_def_17 = iPr_def_13,
inference(demodulation,[status(thm)],[c_3362,c_5445]) ).
tcf(c_5472,plain,
iPr_def_23 = k1_xboole_0,
inference(demodulation,[status(thm)],[c_3168,c_5450,c_5451]) ).
tcf(c_5475,plain,
! [X0: $i] :
( ( k4_xboole_0(iPr_def_10,k8_funct_2(iPr_def_12,iPr_def_22,iPr_def_20,X0)) = k8_funct_2(iPr_def_12,iPr_def_22,iPr_def_20,k7_lattices(sK0,X0)) )
| ~ m1_subset_1(X0,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_3120]) ).
tcf(c_5479,negated_conjecture,
iPr_def_26 != iPr_def_10,
inference(demodulation,[status(thm)],[c_49,c_5454]) ).
tcf(c_6520,plain,
k8_funct_2(iPr_def_12,iPr_def_22,iPr_def_20,k7_lattices(sK0,iPr_def_11)) = k4_xboole_0(iPr_def_10,k8_funct_2(iPr_def_12,iPr_def_22,iPr_def_20,iPr_def_11)),
inference(superposition,[status(thm)],[c_5458,c_5475]) ).
tcf(c_6524,plain,
k4_xboole_0(iPr_def_10,iPr_def_23) = iPr_def_26,
inference(light_normalisation,[status(thm)],[c_6520,c_5445,c_5451,c_5454,c_5467]) ).
tcf(c_6796,plain,
! [X0: $i] : k4_xboole_0(X0,iPr_def_23) = X0,
inference(light_normalisation,[status(thm)],[c_220,c_5472]) ).
tcf(c_6797,plain,
iPr_def_10 = iPr_def_26,
inference(demodulation,[status(thm)],[c_6524,c_6796]) ).
tcf(c_6798,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_5479,c_6797]) ).
tcf(c_6799,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_6798]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT291+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.42 % Computer : n004.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Wed Sep 23 20:52:20 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 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
% 0.16/0.49
% 0.16/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.49
% 0.16/0.49 % Detected problem language: tptp
% 0.23/0.50 % Proving...
% 3.32/1.29 % SZS status Started for theBenchmark.p
% 3.32/1.29 % SZS status Theorem for theBenchmark.p
% 3.32/1.29
% 3.32/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.32/1.29
% 3.32/1.29 % ------ iProver source info
% 3.32/1.29
% 3.32/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.32/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.32/1.29 % git: non_committed_changes: false
% 3.32/1.29
% 3.32/1.29 % ------ Parsing...
% 3.32/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.32/1.29
% 3.32/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 72 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 6 sf_s rm: 33 0s sf_e pe_s pe_e %
% 3.32/1.29
% 3.32/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.32/1.29
% 3.32/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.32/1.29 % ------ Proving...
% 3.32/1.29 % ------ Problem Properties
% 3.32/1.29
% 3.32/1.29 %
% 3.32/1.29 % clauses 116
% 3.32/1.29 % conjectures 2
% 3.32/1.29 % EPR 30
% 3.32/1.29 % Horn 100
% 3.32/1.29 % unary 64
% 3.32/1.29 % binary 42
% 3.32/1.29 % lits 178
% 3.32/1.29 % lits eq 39
% 3.32/1.29 % fd_pure 0
% 3.32/1.29 % fd_pseudo 0
% 3.32/1.29 % fd_cond 1
% 3.32/1.29 % fd_pseudo_cond 3
% 3.32/1.29 % AC symbols 0
% 3.32/1.29
% 3.32/1.29 % ------ Schedule dynamic 5 is on
% 3.32/1.29
% 3.32/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.32/1.29
% 3.32/1.29
% 3.32/1.29 % ------
% 3.32/1.29 % Current options:
% 3.32/1.29 % ------
% 3.32/1.29
% 3.32/1.29
% 3.32/1.29 %
% 3.32/1.29
% 3.32/1.29 % ------ Proving...
% 3.32/1.29 %
% 3.32/1.29
% 3.32/1.29 % SZS status Theorem for theBenchmark.p
% 3.32/1.29
% 3.32/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.32/1.29
% 3.32/1.29
%------------------------------------------------------------------------------