TSTP Solution File: LAT319+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT319+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 06:17:43 EDT 2023
% Result : Theorem 1.54s 1.17s
% Output : CNFRefutation 1.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f467)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v16_lattices(X0)
& v15_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(X0)
<=> ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_lattices) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f39,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f49,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f73,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
fof(f75,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_lattice2) ).
fof(f93,plain,
? [X0] :
( ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<~> ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f94,plain,
? [X0] :
( ( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<~> ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f93]) ).
fof(f110,plain,
! [X0] :
( ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f111,plain,
! [X0] :
( ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f113,plain,
! [X0] :
( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f112]) ).
fof(f116,plain,
! [X0] :
( ( v17_lattices(X0)
<=> ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) ) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f117,plain,
! [X0] :
( ( v17_lattices(X0)
<=> ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) ) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f116]) ).
fof(f121,plain,
! [X0] :
( ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f128,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f129,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f128]) ).
fof(f144,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f145,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f144]) ).
fof(f157,plain,
! [X0] :
( ( ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f158,plain,
! [X0] :
( ( ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f157]) ).
fof(f160,plain,
! [X0] :
( ( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f161,plain,
! [X0] :
( ( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f160]) ).
fof(f165,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f166,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f145,f165]) ).
fof(f167,plain,
! [X0] :
( sP1(X0)
<=> ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f168,plain,
! [X0] :
( ( sP1(X0)
<=> ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f169,plain,
! [X0] :
( sP2(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f158,f168,f167]) ).
fof(f170,plain,
? [X0] :
( ( ~ l3_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
& ( ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(nnf_transformation,[],[f94]) ).
fof(f171,plain,
? [X0] :
( ( ~ l3_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
& ( ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
( ? [X0] :
( ( ~ l3_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
& ( ( l3_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( ~ l3_lattices(k1_lattice2(sK3))
| ~ v17_lattices(k1_lattice2(sK3))
| ~ v10_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3))
| ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) )
& ( ( l3_lattices(k1_lattice2(sK3))
& v17_lattices(k1_lattice2(sK3))
& v10_lattices(k1_lattice2(sK3))
& ~ v3_struct_0(k1_lattice2(sK3)) )
| ( l3_lattices(sK3)
& v17_lattices(sK3)
& v10_lattices(sK3)
& ~ v3_struct_0(sK3) ) )
& l3_lattices(sK3)
& v10_lattices(sK3)
& ~ v3_struct_0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ( ~ l3_lattices(k1_lattice2(sK3))
| ~ v17_lattices(k1_lattice2(sK3))
| ~ v10_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3))
| ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) )
& ( ( l3_lattices(k1_lattice2(sK3))
& v17_lattices(k1_lattice2(sK3))
& v10_lattices(k1_lattice2(sK3))
& ~ v3_struct_0(k1_lattice2(sK3)) )
| ( l3_lattices(sK3)
& v17_lattices(sK3)
& v10_lattices(sK3)
& ~ v3_struct_0(sK3) ) )
& l3_lattices(sK3)
& v10_lattices(sK3)
& ~ v3_struct_0(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f171,f172]) ).
fof(f174,plain,
! [X0] :
( ( ( v17_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0) )
& ( ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) )
| ~ v17_lattices(X0) ) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f175,plain,
! [X0] :
( ( ( v17_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0) )
& ( ( v11_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0) )
| ~ v17_lattices(X0) ) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f174]) ).
fof(f190,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f165]) ).
fof(f224,plain,
! [X0] :
( ( ( sP1(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) )
& ( ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP1(X0) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f168]) ).
fof(f225,plain,
! [X0] :
( ( ( sP1(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) )
& ( ( l3_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP1(X0) ) )
| ~ sP2(X0) ),
inference(flattening,[],[f224]) ).
fof(f226,plain,
! [X0] :
( ( sP1(X0)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
& ( ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f227,plain,
! [X0] :
( ( sP1(X0)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
& ( ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP1(X0) ) ),
inference(flattening,[],[f226]) ).
fof(f228,plain,
! [X0] :
( ( ( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) )
& ( ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f161]) ).
fof(f229,plain,
! [X0] :
( ( ( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) )
& ( ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f228]) ).
fof(f230,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f173]) ).
fof(f231,plain,
v10_lattices(sK3),
inference(cnf_transformation,[],[f173]) ).
fof(f232,plain,
l3_lattices(sK3),
inference(cnf_transformation,[],[f173]) ).
fof(f243,plain,
( v17_lattices(k1_lattice2(sK3))
| v17_lattices(sK3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f249,plain,
( ~ l3_lattices(k1_lattice2(sK3))
| ~ v17_lattices(k1_lattice2(sK3))
| ~ v10_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3))
| ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f271,plain,
! [X0] :
( v11_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f274,plain,
! [X0] :
( v15_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f275,plain,
! [X0] :
( v16_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f277,plain,
! [X0] :
( v17_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f286,plain,
! [X0] :
( v15_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f288,plain,
! [X0] :
( v11_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f294,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f313,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f341,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f342,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f441,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f443,plain,
! [X0] :
( v15_lattices(k1_lattice2(X0))
| ~ sP1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f444,plain,
! [X0] :
( v16_lattices(k1_lattice2(X0))
| ~ sP1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f445,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ sP1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f446,plain,
! [X0] :
( sP1(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f447,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f448,plain,
! [X0] :
( v10_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f449,plain,
! [X0] :
( v15_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f450,plain,
! [X0] :
( v16_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f451,plain,
! [X0] :
( l3_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f452,plain,
! [X0] :
( sP1(X0)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f453,plain,
! [X0] :
( sP2(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f461,plain,
! [X0] :
( v11_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f229]) ).
cnf(c_49,negated_conjecture,
( ~ l3_lattices(k1_lattice2(sK3))
| ~ v17_lattices(k1_lattice2(sK3))
| ~ v10_lattices(k1_lattice2(sK3))
| ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(k1_lattice2(sK3))
| v3_struct_0(sK3) ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_55,negated_conjecture,
( v17_lattices(k1_lattice2(sK3))
| v17_lattices(sK3) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_66,negated_conjecture,
l3_lattices(sK3),
inference(cnf_transformation,[],[f232]) ).
cnf(c_67,negated_conjecture,
v10_lattices(sK3),
inference(cnf_transformation,[],[f231]) ).
cnf(c_68,negated_conjecture,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f230]) ).
cnf(c_83,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f275]) ).
cnf(c_84,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_87,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f271]) ).
cnf(c_88,plain,
( ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| v17_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f277]) ).
cnf(c_96,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_98,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_102,plain,
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_123,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f313]) ).
cnf(c_142,plain,
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f341]) ).
cnf(c_151,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_250,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ sP2(X0)
| v3_struct_0(k1_lattice2(X0))
| sP1(X0) ),
inference(cnf_transformation,[],[f446]) ).
cnf(c_251,plain,
( ~ sP1(X0)
| ~ sP2(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f445]) ).
cnf(c_252,plain,
( ~ sP1(X0)
| ~ sP2(X0)
| v16_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f444]) ).
cnf(c_253,plain,
( ~ sP1(X0)
| ~ sP2(X0)
| v15_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f443]) ).
cnf(c_255,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f441]) ).
cnf(c_256,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f452]) ).
cnf(c_257,plain,
( ~ sP1(X0)
| l3_lattices(X0) ),
inference(cnf_transformation,[],[f451]) ).
cnf(c_258,plain,
( ~ sP1(X0)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f450]) ).
cnf(c_259,plain,
( ~ sP1(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f449]) ).
cnf(c_260,plain,
( ~ sP1(X0)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f448]) ).
cnf(c_261,plain,
( ~ v3_struct_0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f447]) ).
cnf(c_262,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f453]) ).
cnf(c_264,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f461]) ).
cnf(c_266,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| v11_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_267,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f468]) ).
cnf(c_292,plain,
( ~ sP0(sK3)
| v10_lattices(k1_lattice2(sK3)) ),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_298,plain,
( ~ l3_lattices(sK3)
| l3_lattices(k1_lattice2(sK3)) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_317,plain,
( ~ v3_struct_0(k1_lattice2(sK3))
| ~ l3_lattices(sK3)
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_322,plain,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| sP0(sK3) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_323,plain,
( ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| v3_struct_0(sK3)
| v15_lattices(sK3) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_325,plain,
( ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| v3_struct_0(sK3)
| v11_lattices(sK3) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_354,plain,
( ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ v11_lattices(sK3)
| v11_lattices(k1_lattice2(sK3))
| v3_struct_0(sK3) ),
inference(instantiation,[status(thm)],[c_266]) ).
cnf(c_404,plain,
( ~ sP1(X0)
| v15_lattices(k1_lattice2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_253,c_260,c_257,c_261,c_253,c_262]) ).
cnf(c_407,plain,
( ~ sP1(X0)
| v16_lattices(k1_lattice2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_252,c_260,c_257,c_261,c_252,c_262]) ).
cnf(c_410,plain,
( ~ sP1(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_251,c_257,c_102]) ).
cnf(c_412,plain,
( ~ sP1(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_255,c_257,c_261,c_123]) ).
cnf(c_413,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(renaming,[status(thm)],[c_412]) ).
cnf(c_434,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_267,c_142,c_151]) ).
cnf(c_435,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(renaming,[status(thm)],[c_434]) ).
cnf(c_448,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v11_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_264,c_102,c_123,c_264,c_435]) ).
cnf(c_449,plain,
( ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(renaming,[status(thm)],[c_448]) ).
cnf(c_450,plain,
( ~ v11_lattices(k1_lattice2(sK3))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| v11_lattices(sK3) ),
inference(instantiation,[status(thm)],[c_449]) ).
cnf(c_451,plain,
( ~ v17_lattices(sK3)
| ~ v17_lattices(k1_lattice2(sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_67,c_66,c_68,c_292,c_298,c_317,c_322,c_49]) ).
cnf(c_452,negated_conjecture,
( ~ v17_lattices(k1_lattice2(sK3))
| ~ v17_lattices(sK3) ),
inference(renaming,[status(thm)],[c_451]) ).
cnf(c_455,plain,
( ~ v17_lattices(sK3)
| ~ v17_lattices(k1_lattice2(sK3)) ),
inference(prop_impl_just,[status(thm)],[c_452]) ).
cnf(c_456,plain,
( ~ v17_lattices(k1_lattice2(sK3))
| ~ v17_lattices(sK3) ),
inference(renaming,[status(thm)],[c_455]) ).
cnf(c_457,plain,
( v17_lattices(sK3)
| v17_lattices(k1_lattice2(sK3)) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
cnf(c_458,plain,
( v17_lattices(k1_lattice2(sK3))
| v17_lattices(sK3) ),
inference(renaming,[status(thm)],[c_457]) ).
cnf(c_501,plain,
( v16_lattices(X0)
| ~ sP1(X0) ),
inference(prop_impl_just,[status(thm)],[c_258]) ).
cnf(c_502,plain,
( ~ sP1(X0)
| v16_lattices(X0) ),
inference(renaming,[status(thm)],[c_501]) ).
cnf(c_577,plain,
( ~ sP1(X0)
| v16_lattices(k1_lattice2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_407]) ).
cnf(c_2261,plain,
( X0 != X1
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v16_lattices(k1_lattice2(X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X0)
| sP1(X1) ),
inference(resolution_lifted,[status(thm)],[c_262,c_250]) ).
cnf(c_2262,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| sP1(X0) ),
inference(unflattening,[status(thm)],[c_2261]) ).
cnf(c_2264,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v16_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2262,c_102,c_123,c_262,c_250,c_435]) ).
cnf(c_2265,plain,
( ~ v15_lattices(k1_lattice2(X0))
| ~ v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ),
inference(renaming,[status(thm)],[c_2264]) ).
cnf(c_3062,plain,
( X0 != X1
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1)
| ~ sP1(X0)
| v17_lattices(X1)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_502,c_88]) ).
cnf(c_3063,plain,
( ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| ~ sP1(X0)
| v17_lattices(X0)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_3062]) ).
cnf(c_3065,plain,
( v17_lattices(X0)
| ~ sP1(X0)
| ~ v11_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3063,c_259,c_257,c_261,c_3063]) ).
cnf(c_3066,plain,
( ~ v11_lattices(X0)
| ~ sP1(X0)
| v17_lattices(X0) ),
inference(renaming,[status(thm)],[c_3065]) ).
cnf(c_3067,plain,
( ~ v11_lattices(sK3)
| ~ sP1(sK3)
| v17_lattices(sK3) ),
inference(instantiation,[status(thm)],[c_3066]) ).
cnf(c_3077,plain,
( X0 != X1
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v17_lattices(X0)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| sP1(X1) ),
inference(resolution_lifted,[status(thm)],[c_83,c_256]) ).
cnf(c_3078,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ),
inference(unflattening,[status(thm)],[c_3077]) ).
cnf(c_3079,plain,
( ~ l3_lattices(sK3)
| ~ v17_lattices(sK3)
| ~ v10_lattices(sK3)
| ~ v15_lattices(sK3)
| v3_struct_0(sK3)
| sP1(sK3) ),
inference(instantiation,[status(thm)],[c_3078]) ).
cnf(c_3170,plain,
( k1_lattice2(X0) != X1
| ~ v15_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_struct_0(X1)
| sP1(X0) ),
inference(resolution_lifted,[status(thm)],[c_83,c_2265]) ).
cnf(c_3171,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| sP1(X0) ),
inference(unflattening,[status(thm)],[c_3170]) ).
cnf(c_3173,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v15_lattices(k1_lattice2(X0))
| ~ v17_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3171,c_102,c_123,c_3171]) ).
cnf(c_3174,plain,
( ~ v17_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ),
inference(renaming,[status(thm)],[c_3173]) ).
cnf(c_3175,plain,
( ~ v17_lattices(k1_lattice2(sK3))
| ~ v15_lattices(k1_lattice2(sK3))
| ~ l3_lattices(sK3)
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| sP1(sK3) ),
inference(instantiation,[status(thm)],[c_3174]) ).
cnf(c_3206,plain,
( k1_lattice2(X0) != X1
| ~ l3_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1)
| ~ sP1(X0)
| v17_lattices(X1)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_88,c_577]) ).
cnf(c_3207,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ v15_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ sP1(X0)
| v17_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) ),
inference(unflattening,[status(thm)],[c_3206]) ).
cnf(c_3209,plain,
( v17_lattices(k1_lattice2(X0))
| ~ sP1(X0)
| ~ v11_lattices(k1_lattice2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3207,c_404,c_410,c_413,c_3207]) ).
cnf(c_3210,plain,
( ~ v11_lattices(k1_lattice2(X0))
| ~ sP1(X0)
| v17_lattices(k1_lattice2(X0)) ),
inference(renaming,[status(thm)],[c_3209]) ).
cnf(c_3211,plain,
( ~ v11_lattices(k1_lattice2(sK3))
| ~ sP1(sK3)
| v17_lattices(k1_lattice2(sK3)) ),
inference(instantiation,[status(thm)],[c_3210]) ).
cnf(c_3803,plain,
~ v17_lattices(sK3),
inference(global_subsumption_just,[status(thm)],[c_456,c_67,c_66,c_68,c_323,c_325,c_354,c_452,c_3079,c_3211]) ).
cnf(c_3805,plain,
v17_lattices(k1_lattice2(sK3)),
inference(global_subsumption_just,[status(thm)],[c_458,c_55,c_3803]) ).
cnf(c_4863,plain,
( k1_lattice2(sK3) != X0
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(resolution_lifted,[status(thm)],[c_3805,c_87]) ).
cnf(c_4864,plain,
( ~ l3_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3))
| v11_lattices(k1_lattice2(sK3)) ),
inference(unflattening,[status(thm)],[c_4863]) ).
cnf(c_4870,plain,
( k1_lattice2(sK3) != X0
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(resolution_lifted,[status(thm)],[c_3805,c_84]) ).
cnf(c_4871,plain,
( ~ l3_lattices(k1_lattice2(sK3))
| v3_struct_0(k1_lattice2(sK3))
| v15_lattices(k1_lattice2(sK3)) ),
inference(unflattening,[status(thm)],[c_4870]) ).
cnf(c_4872,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4871,c_4864,c_3803,c_3175,c_3067,c_450,c_317,c_298,c_55,c_68,c_66,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT319+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n016.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 Aug 24 08:57:08 EDT 2023
% 0.13/0.34 % 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.54/1.17 % SZS status Started for theBenchmark.p
% 1.54/1.17 % SZS status Theorem for theBenchmark.p
% 1.54/1.17
% 1.54/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.54/1.17
% 1.54/1.17 ------ iProver source info
% 1.54/1.17
% 1.54/1.17 git: date: 2023-05-31 18:12:56 +0000
% 1.54/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.54/1.17 git: non_committed_changes: false
% 1.54/1.17 git: last_make_outside_of_git: false
% 1.54/1.17
% 1.54/1.17 ------ Parsing...
% 1.54/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.54/1.17
% 1.54/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 14 0s sf_e pe_s
% 1.54/1.17
% 1.54/1.17 % SZS status Theorem for theBenchmark.p
% 1.54/1.17
% 1.54/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.54/1.17
% 1.54/1.17
%------------------------------------------------------------------------------