TSTP Solution File: LAT292+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 06:17:26 EDT 2023
% Result : Theorem 2.22s 1.19s
% Output : CNFRefutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 58 ( 16 unt; 0 def)
% Number of atoms : 293 ( 14 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 388 ( 153 ~; 161 |; 67 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% 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 : 42 ( 0 sgn; 25 !; 5 ?)
% 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/sandbox2/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,[],[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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t43_lopclset) ).
fof(f137,plain,
? [X0] :
( ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f138,plain,
? [X0] :
( ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f137]) ).
fof(f183,plain,
! [X0] :
( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f184,plain,
! [X0] :
( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f183]) ).
fof(f188,plain,
! [X0] :
( ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f189,plain,
! [X0] :
( ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f188]) ).
fof(f216,plain,
! [X0] :
( ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f217,plain,
! [X0] :
( ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f216]) ).
fof(f240,plain,
! [X0] :
( r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f241,plain,
! [X0] :
( r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f240]) ).
fof(f248,plain,
( ? [X0] :
( ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ! [X1] :
( ~ r1_filter_1(sK0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(sK0)
& ~ v3_realset2(sK0)
& v17_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
( ! [X1] :
( ~ r1_filter_1(sK0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(sK0)
& ~ v3_realset2(sK0)
& v17_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f138,f248]) ).
fof(f314,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f249]) ).
fof(f315,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f249]) ).
fof(f316,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f249]) ).
fof(f317,plain,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f249]) ).
fof(f318,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f249]) ).
fof(f319,plain,
! [X1] :
( ~ r1_filter_1(sK0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f393,plain,
! [X0] :
( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f399,plain,
! [X0] :
( v2_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f400,plain,
! [X0] :
( l1_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f444,plain,
! [X0] :
( ~ v3_struct_0(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f594,plain,
! [X0] :
( r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_49,negated_conjecture,
( ~ r1_filter_1(sK0,k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_50,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f318]) ).
cnf(c_51,negated_conjecture,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f317]) ).
cnf(c_52,negated_conjecture,
v17_lattices(sK0),
inference(cnf_transformation,[],[f316]) ).
cnf(c_53,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f315]) ).
cnf(c_54,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f314]) ).
cnf(c_115,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| k6_lopclset(k11_lopclset(X0)) = k12_lopclset(X0)
| v3_struct_0(X0)
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f393]) ).
cnf(c_120,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| l1_pre_topc(k11_lopclset(X0))
| v3_struct_0(X0)
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_121,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v2_pre_topc(k11_lopclset(X0))
| v3_struct_0(X0)
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_168,plain,
( ~ v3_struct_0(k11_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f444]) ).
cnf(c_316,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| r1_filter_1(X0,k12_lopclset(X0))
| v3_struct_0(X0)
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f594]) ).
cnf(c_4055,plain,
( X0 != sK0
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| r1_filter_1(X0,k12_lopclset(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_316]) ).
cnf(c_4056,plain,
( ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| r1_filter_1(sK0,k12_lopclset(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_4055]) ).
cnf(c_4057,plain,
r1_filter_1(sK0,k12_lopclset(sK0)),
inference(global_subsumption_just,[status(thm)],[c_4056,c_53,c_52,c_50,c_54,c_4056]) ).
cnf(c_4062,plain,
( X0 != sK0
| ~ v3_struct_0(k11_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_168]) ).
cnf(c_4063,plain,
( ~ v3_struct_0(k11_lopclset(sK0))
| ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_4062]) ).
cnf(c_4097,plain,
( X0 != sK0
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v2_pre_topc(k11_lopclset(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_121]) ).
cnf(c_4098,plain,
( ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v2_pre_topc(k11_lopclset(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_4097]) ).
cnf(c_4099,plain,
v2_pre_topc(k11_lopclset(sK0)),
inference(global_subsumption_just,[status(thm)],[c_4098,c_53,c_52,c_50,c_54,c_4098]) ).
cnf(c_4104,plain,
( X0 != sK0
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| l1_pre_topc(k11_lopclset(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_120]) ).
cnf(c_4105,plain,
( ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| l1_pre_topc(k11_lopclset(sK0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_4104]) ).
cnf(c_4111,plain,
( X0 != sK0
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| k6_lopclset(k11_lopclset(X0)) = k12_lopclset(X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_115]) ).
cnf(c_4112,plain,
( ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| k6_lopclset(k11_lopclset(sK0)) = k12_lopclset(sK0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_4111]) ).
cnf(c_4113,plain,
k6_lopclset(k11_lopclset(sK0)) = k12_lopclset(sK0),
inference(global_subsumption_just,[status(thm)],[c_4112,c_53,c_52,c_50,c_54,c_4112]) ).
cnf(c_4446,plain,
( k11_lopclset(sK0) != X0
| ~ r1_filter_1(sK0,k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_49,c_4099]) ).
cnf(c_4447,plain,
( ~ r1_filter_1(sK0,k6_lopclset(k11_lopclset(sK0)))
| ~ l1_pre_topc(k11_lopclset(sK0))
| v3_struct_0(k11_lopclset(sK0)) ),
inference(unflattening,[status(thm)],[c_4446]) ).
cnf(c_4448,plain,
~ r1_filter_1(sK0,k6_lopclset(k11_lopclset(sK0))),
inference(global_subsumption_just,[status(thm)],[c_4447,c_53,c_52,c_50,c_54,c_4063,c_4105,c_4447]) ).
cnf(c_6387,plain,
~ r1_filter_1(sK0,k12_lopclset(sK0)),
inference(demodulation,[status(thm)],[c_4448,c_4113]) ).
cnf(c_6391,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6387,c_4057]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 07:25:14 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.22/1.19 % SZS status Started for theBenchmark.p
% 2.22/1.19 % SZS status Theorem for theBenchmark.p
% 2.22/1.19
% 2.22/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.22/1.19
% 2.22/1.19 ------ iProver source info
% 2.22/1.19
% 2.22/1.19 git: date: 2023-05-31 18:12:56 +0000
% 2.22/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.22/1.19 git: non_committed_changes: false
% 2.22/1.19 git: last_make_outside_of_git: false
% 2.22/1.19
% 2.22/1.19 ------ Parsing...
% 2.22/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.22/1.19
% 2.22/1.19 ------ 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
% 2.22/1.19
% 2.22/1.19 % SZS status Theorem for theBenchmark.p
% 2.22/1.19
% 2.22/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.22/1.19
% 2.22/1.19
%------------------------------------------------------------------------------