%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT292+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 : n011.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 3.89s 1.50s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 57 ( 16 unt; 0 def)
% Number of atoms : 275 ( 14 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 361 ( 143 ~; 155 |; 57 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 39 ( 0 sgn 35 !; 4 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( r1_filter_1(X0,k6_lopclset(X1))
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( r1_filter_1(X0,k6_lopclset(X1))
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f38,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lopclset) ).
fof(f41,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_lopclset) ).
fof(f75,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lopclset) ).
fof(f108,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_filter_1(X0,k12_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_lopclset) ).
fof(f137,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f138,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ) ),
inference(flattening,[],[f137]) ).
fof(f183,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f184,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
inference(flattening,[],[f183]) ).
fof(f188,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f189,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) ) ),
inference(flattening,[],[f188]) ).
fof(f216,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f75]) ).
fof(f217,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) ) ),
inference(flattening,[],[f216]) ).
fof(f240,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,k12_lopclset(X0)) ),
inference(ennf_transformation,[],[f108]) ).
fof(f241,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,k12_lopclset(X0)) ),
inference(flattening,[],[f240]) ).
fof(f248,plain,
( l3_lattices(sK0)
& ~ v3_realset2(sK0)
& v17_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0)
& ! [X1] :
( ~ r1_filter_1(sK0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f138]) ).
fof(f283,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f248]) ).
fof(f284,plain,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f248]) ).
fof(f285,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f248]) ).
fof(f286,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f248]) ).
fof(f287,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f248]) ).
fof(f288,plain,
! [X1] :
( ~ r1_filter_1(sK0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f362,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f367,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| l1_pre_topc(k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f189]) ).
fof(f368,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v2_pre_topc(k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f189]) ).
fof(f415,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f217]) ).
fof(f563,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,k12_lopclset(X0)) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_filter_1(sK0,k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_50,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f287]) ).
tcf(c_51,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f286]) ).
tcf(c_52,negated_conjecture,
v17_lattices(sK0),
inference(cnf_transformation,[],[f285]) ).
tcf(c_53,negated_conjecture,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f284]) ).
tcf(c_54,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f283]) ).
tcf(c_115,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ( k6_lopclset(k11_lopclset(X0)) = k12_lopclset(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_121,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v2_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_122,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| l1_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_166,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v3_struct_0(k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f415]) ).
tcf(c_316,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f563]) ).
tcf(c_4074,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_316]) ).
tcf(c_4075,plain,
( v3_struct_0(sK0)
| r1_filter_1(sK0,k12_lopclset(sK0))
| ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_4074]) ).
tcf(c_4076,plain,
r1_filter_1(sK0,k12_lopclset(sK0)),
inference(global_subsumption_just,[status(thm)],[c_4075,c_54,c_52,c_51,c_50,c_4075]) ).
tcf(c_4081,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v3_struct_0(k11_lopclset(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_166]) ).
tcf(c_4082,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ v3_struct_0(k11_lopclset(sK0)) ),
inference(unflattening,[status(thm)],[c_4081]) ).
tcf(c_4109,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l1_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_122]) ).
tcf(c_4110,plain,
( v3_struct_0(sK0)
| l1_pre_topc(k11_lopclset(sK0))
| ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_4109]) ).
tcf(c_4116,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_121]) ).
tcf(c_4117,plain,
( v3_struct_0(sK0)
| v2_pre_topc(k11_lopclset(sK0))
| ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_4116]) ).
tcf(c_4118,plain,
v2_pre_topc(k11_lopclset(sK0)),
inference(global_subsumption_just,[status(thm)],[c_4117,c_54,c_52,c_51,c_50,c_4117]) ).
tcf(c_4130,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k6_lopclset(k11_lopclset(X0)) = k12_lopclset(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_115]) ).
tcf(c_4131,plain,
( v3_struct_0(sK0)
| ( k6_lopclset(k11_lopclset(sK0)) = k12_lopclset(sK0) )
| ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(unflattening,[status(thm)],[c_4130]) ).
tcf(c_4132,plain,
k6_lopclset(k11_lopclset(sK0)) = k12_lopclset(sK0),
inference(global_subsumption_just,[status(thm)],[c_4131,c_54,c_52,c_51,c_50,c_4131]) ).
tcf(c_4465,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ r1_filter_1(sK0,k6_lopclset(X0))
| ( k11_lopclset(sK0) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_4118]) ).
tcf(c_4466,plain,
( v3_struct_0(k11_lopclset(sK0))
| ~ l1_pre_topc(k11_lopclset(sK0))
| ~ r1_filter_1(sK0,k6_lopclset(k11_lopclset(sK0))) ),
inference(unflattening,[status(thm)],[c_4465]) ).
tcf(c_4467,plain,
~ r1_filter_1(sK0,k6_lopclset(k11_lopclset(sK0))),
inference(global_subsumption_just,[status(thm)],[c_4466,c_54,c_52,c_51,c_50,c_4082,c_4110,c_4466]) ).
tcf(c_6406,plain,
~ r1_filter_1(sK0,k12_lopclset(sK0)),
inference(demodulation,[status(thm)],[c_4467,c_4132]) ).
tcf(c_6410,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6406,c_4076]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT292+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 : n011.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 20:52:58 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 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
% 0.16/0.50
% 0.16/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.50
% 0.16/0.50 % Detected problem language: tptp
% 0.25/0.52 % Proving...
% 3.89/1.50 % SZS status Started for theBenchmark.p
% 3.89/1.50 % SZS status Theorem for theBenchmark.p
% 3.89/1.50
% 3.89/1.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.89/1.50
% 3.89/1.50 % ------ iProver source info
% 3.89/1.50
% 3.89/1.50 % git: date: 2026-07-19 20:42:38 +0200
% 3.89/1.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.89/1.50 % git: non_committed_changes: false
% 3.89/1.50
% 3.89/1.50 % ------ Parsing...
% 3.89/1.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.89/1.50
% 3.89/1.50 % ------ Preprocessing... sup_sim: 0 sf_s rm: 56 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e %
% 3.89/1.50
% 3.89/1.50 % SZS status Theorem for theBenchmark.p
% 3.89/1.50
% 3.89/1.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.50
% 3.89/1.50
%------------------------------------------------------------------------------