TSTP Solution File: LAT305+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT305+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 06:17:35 EDT 2023
% Result : Theorem 0.49s 1.20s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 129 ( 18 unt; 0 def)
% Number of atoms : 730 ( 53 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 1025 ( 424 ~; 464 |; 108 &)
% ( 6 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 275 ( 11 sgn; 117 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(X1,k18_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(X1,k18_filter_2(X0,X1)) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f5,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_filter_2) ).
fof(f26,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattices) ).
fof(f31,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f57,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_2) ).
fof(f73,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f75,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> r3_lattices(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f77,axiom,
! [X0] :
( ( l3_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> r1_lattices(X0,k4_lattices(X0,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_lattices) ).
fof(f95,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(X1,k18_filter_2(X0,X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f96,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(X1,k18_filter_2(X0,X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f95]) ).
fof(f99,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f100,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f99]) ).
fof(f107,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f108,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f113]) ).
fof(f121,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f122,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f121]) ).
fof(f125,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f144]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f158,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f157]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f160]) ).
fof(f172,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(X1,k18_filter_2(X0,X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(k4_lattices(sK0,X2,X1),k18_filter_2(sK0,X1))
| ~ r2_hidden(k4_lattices(sK0,X1,X2),k18_filter_2(sK0,X1))
| ~ r2_hidden(X1,k18_filter_2(sK0,X1)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_subset_1(X1,u1_struct_0(sK0)) )
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(k4_lattices(sK0,X2,X1),k18_filter_2(sK0,X1))
| ~ r2_hidden(k4_lattices(sK0,X1,X2),k18_filter_2(sK0,X1))
| ~ r2_hidden(X1,k18_filter_2(sK0,X1)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_subset_1(X1,u1_struct_0(sK0)) )
=> ( ? [X2] :
( ( ~ r2_hidden(k4_lattices(sK0,X2,sK1),k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK1,X2),k18_filter_2(sK0,sK1))
| ~ r2_hidden(sK1,k18_filter_2(sK0,sK1)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& m1_subset_1(sK1,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
( ? [X2] :
( ( ~ r2_hidden(k4_lattices(sK0,X2,sK1),k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK1,X2),k18_filter_2(sK0,sK1))
| ~ r2_hidden(sK1,k18_filter_2(sK0,sK1)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
=> ( ( ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ r2_hidden(sK1,k18_filter_2(sK0,sK1)) )
& m1_subset_1(sK2,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
( ( ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ r2_hidden(sK1,k18_filter_2(sK0,sK1)) )
& m1_subset_1(sK2,u1_struct_0(sK0))
& m1_subset_1(sK1,u1_struct_0(sK0))
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f96,f174,f173,f172]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ r3_lattices(X1,X3,X2)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
& ( ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(nnf_transformation,[],[f145]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ r3_lattices(X1,X3,X2)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
& ( ? [X4] :
( r3_lattices(X1,X4,X2)
& X0 = X4
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(rectify,[],[f194]) ).
fof(f196,plain,
! [X0,X1,X2] :
( ? [X4] :
( r3_lattices(X1,X4,X2)
& X0 = X4
& m1_subset_1(X4,u1_struct_0(X1)) )
=> ( r3_lattices(X1,sK12(X0,X1,X2),X2)
& sK12(X0,X1,X2) = X0
& m1_subset_1(sK12(X0,X1,X2),u1_struct_0(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ r3_lattices(X1,X3,X2)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
& ( ( r3_lattices(X1,sK12(X0,X1,X2),X2)
& sK12(X0,X1,X2) = X0
& m1_subset_1(sK12(X0,X1,X2),u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f195,f196]) ).
fof(f223,plain,
! [X0,X1,X2] :
( ( ( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2) )
& ( r1_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f156]) ).
fof(f227,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f228,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f229,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f230,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f175]) ).
fof(f231,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f175]) ).
fof(f232,plain,
( ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ r2_hidden(sK1,k18_filter_2(sK0,sK1)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f238,plain,
! [X0] :
( v6_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f240,plain,
! [X0] :
( v8_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f241,plain,
! [X0] :
( v9_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f249,plain,
! [X2,X0,X1] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f253,plain,
! [X0,X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f257,plain,
! [X2,X0,X1] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f260,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ r3_lattices(X1,X3,X2)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f324,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f326,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f328,plain,
! [X2,X0,X1] :
( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f339,plain,
! [X2,X3,X1] :
( r2_hidden(X3,a_2_0_filter_2(X1,X2))
| ~ r3_lattices(X1,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(equality_resolution,[],[f295]) ).
cnf(c_49,negated_conjecture,
( ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ r2_hidden(sK1,k18_filter_2(sK0,sK1)) ),
inference(cnf_transformation,[],[f232]) ).
cnf(c_50,negated_conjecture,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f231]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f230]) ).
cnf(c_52,negated_conjecture,
l3_lattices(sK0),
inference(cnf_transformation,[],[f229]) ).
cnf(c_53,negated_conjecture,
v10_lattices(sK0),
inference(cnf_transformation,[],[f228]) ).
cnf(c_54,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f227]) ).
cnf(c_57,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_58,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f240]) ).
cnf(c_60,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f238]) ).
cnf(c_67,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| k4_lattices(X1,X0,X2) = k4_lattices(X1,X2,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_70,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k18_filter_2(X1,X0) = a_2_0_filter_2(X1,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f253]) ).
cnf(c_74,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| m1_subset_1(k4_lattices(X1,X0,X2),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f257]) ).
cnf(c_78,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_109,plain,
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| r2_hidden(X1,a_2_0_filter_2(X0,X2))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_140,plain,
( ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| r3_lattices(X0,X1,X2)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f324]) ).
cnf(c_143,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| r3_lattices(X1,X0,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f326]) ).
cnf(c_145,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| r1_lattices(X1,k4_lattices(X1,X0,X2),X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_260,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_78]) ).
cnf(c_2079,plain,
( k4_lattices(X1,X2,X3) != X4
| X0 != X1
| X2 != X5
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v8_lattices(X1)
| ~ v6_lattices(X0)
| ~ v6_lattices(X1)
| r3_lattices(X0,X4,X5)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_140,c_145]) ).
cnf(c_2080,plain,
( ~ m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| r3_lattices(X0,k4_lattices(X0,X1,X2),X1)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2079]) ).
cnf(c_2118,plain,
( X0 != X1
| ~ m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X0)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| r3_lattices(X1,k4_lattices(X1,X2,X3),X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_57,c_2080]) ).
cnf(c_2119,plain,
( ~ m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| r3_lattices(X0,k4_lattices(X0,X1,X2),X1)
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2118]) ).
cnf(c_2121,plain,
( ~ m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| r3_lattices(X0,k4_lattices(X0,X1,X2),X1)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2119,c_60,c_58,c_57,c_2080]) ).
cnf(c_2145,plain,
( X0 != X1
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| r3_lattices(X0,X2,X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_143,c_57]) ).
cnf(c_2146,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| r3_lattices(X1,X0,X0)
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_2145]) ).
cnf(c_2164,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r3_lattices(X1,X0,X0)
| v3_struct_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2146,c_60,c_58]) ).
cnf(c_2214,plain,
( X0 != X1
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l1_lattices(X0)
| m1_subset_1(k4_lattices(X0,X2,X3),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_74,c_60]) ).
cnf(c_2215,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l1_lattices(X1)
| m1_subset_1(k4_lattices(X1,X0,X2),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_2214]) ).
cnf(c_2231,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k4_lattices(X1,X0,X2),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2215,c_260]) ).
cnf(c_2239,plain,
( X0 != X1
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l1_lattices(X0)
| k4_lattices(X0,X2,X3) = k4_lattices(X0,X3,X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_67,c_60]) ).
cnf(c_2240,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l1_lattices(X1)
| k4_lattices(X1,X0,X2) = k4_lattices(X1,X2,X0)
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_2239]) ).
cnf(c_2256,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k4_lattices(X1,X0,X2) = k4_lattices(X1,X2,X0)
| v3_struct_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2240,c_260]) ).
cnf(c_2275,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r3_lattices(X1,k4_lattices(X1,X0,X2),X0)
| v3_struct_0(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2121,c_2231]) ).
cnf(c_2366,plain,
( X0 != X1
| X2 != X3
| X3 != X4
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| r2_hidden(X2,a_2_0_filter_2(X0,X4))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_109,c_2164]) ).
cnf(c_2367,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r2_hidden(X0,a_2_0_filter_2(X1,X0))
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_2366]) ).
cnf(c_2387,plain,
( k4_lattices(X1,X2,X3) != X4
| X0 != X1
| X2 != X5
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| r2_hidden(X4,a_2_0_filter_2(X0,X5))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_109,c_2275]) ).
cnf(c_2388,plain,
( ~ m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| r2_hidden(k4_lattices(X0,X1,X2),a_2_0_filter_2(X0,X1))
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2387]) ).
cnf(c_2404,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r2_hidden(k4_lattices(X1,X0,X2),a_2_0_filter_2(X1,X0))
| v3_struct_0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2388,c_2231]) ).
cnf(c_3100,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| r2_hidden(k4_lattices(X0,X1,X2),a_2_0_filter_2(X0,X1))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_2404]) ).
cnf(c_3101,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_3100]) ).
cnf(c_3103,plain,
( r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_3101,c_52,c_54,c_3101]) ).
cnf(c_3104,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0)) ),
inference(renaming,[status(thm)],[c_3103]) ).
cnf(c_3115,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| r2_hidden(X1,a_2_0_filter_2(X0,X1))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_2367]) ).
cnf(c_3116,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_3115]) ).
cnf(c_3118,plain,
( r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_3116,c_52,c_54,c_3116]) ).
cnf(c_3119,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0)) ),
inference(renaming,[status(thm)],[c_3118]) ).
cnf(c_3145,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_2256]) ).
cnf(c_3146,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| k4_lattices(sK0,X0,X1) = k4_lattices(sK0,X1,X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_3145]) ).
cnf(c_3148,plain,
( k4_lattices(sK0,X0,X1) = k4_lattices(sK0,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_3146,c_52,c_54,c_3146]) ).
cnf(c_3149,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| k4_lattices(sK0,X0,X1) = k4_lattices(sK0,X1,X0) ),
inference(renaming,[status(thm)],[c_3148]) ).
cnf(c_3244,plain,
( X0 != sK0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_70]) ).
cnf(c_3245,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| k18_filter_2(sK0,X0) = a_2_0_filter_2(sK0,X0)
| v3_struct_0(sK0) ),
inference(unflattening,[status(thm)],[c_3244]) ).
cnf(c_3247,plain,
( k18_filter_2(sK0,X0) = a_2_0_filter_2(sK0,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_3245,c_52,c_54,c_3245]) ).
cnf(c_3248,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k18_filter_2(sK0,X0) = a_2_0_filter_2(sK0,X0) ),
inference(renaming,[status(thm)],[c_3247]) ).
cnf(c_5075,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_3119]) ).
cnf(c_5076,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_3119]) ).
cnf(c_5077,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_3119]) ).
cnf(c_6039,plain,
~ sP0_iProver_split,
inference(superposition,[status(thm)],[c_50,c_5075]) ).
cnf(c_6041,plain,
sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_5077,c_6039]) ).
cnf(c_6052,plain,
( r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_5076,c_5076,c_6041]) ).
cnf(c_6053,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0)) ),
inference(renaming,[status(thm)],[c_6052]) ).
cnf(c_6063,plain,
k18_filter_2(sK0,sK1) = a_2_0_filter_2(sK0,sK1),
inference(superposition,[status(thm)],[c_51,c_3248]) ).
cnf(c_6088,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,sK1,X0),k18_filter_2(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_6063,c_3104]) ).
cnf(c_6089,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| r2_hidden(sK1,k18_filter_2(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_6063,c_6053]) ).
cnf(c_6090,plain,
r2_hidden(sK1,k18_filter_2(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_6089,c_51]) ).
cnf(c_6091,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,sK1,X0),k18_filter_2(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6088,c_51]) ).
cnf(c_6094,plain,
( ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_6090]) ).
cnf(c_6254,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k4_lattices(sK0,X0,sK2) = k4_lattices(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_50,c_3149]) ).
cnf(c_6289,plain,
k4_lattices(sK0,sK2,sK1) = k4_lattices(sK0,sK1,sK2),
inference(superposition,[status(thm)],[c_51,c_6254]) ).
cnf(c_6303,plain,
~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1)),
inference(demodulation,[status(thm)],[c_6094,c_6289]) ).
cnf(c_6314,plain,
~ m1_subset_1(sK2,u1_struct_0(sK0)),
inference(superposition,[status(thm)],[c_6091,c_6303]) ).
cnf(c_6315,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6314,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT305+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n014.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 07:07:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.49 Running first-order theorem proving
% 0.19/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.49/1.20 % SZS status Started for theBenchmark.p
% 0.49/1.20 % SZS status Theorem for theBenchmark.p
% 0.49/1.20
% 0.49/1.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.49/1.20
% 0.49/1.20 ------ iProver source info
% 0.49/1.20
% 0.49/1.20 git: date: 2023-05-31 18:12:56 +0000
% 0.49/1.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.49/1.20 git: non_committed_changes: false
% 0.49/1.20 git: last_make_outside_of_git: false
% 0.49/1.20
% 0.49/1.20 ------ Parsing...
% 0.49/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.49/1.20
% 0.49/1.20 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 13 0s sf_e pe_s pe_e
% 0.49/1.20
% 0.49/1.20 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.20
% 0.49/1.20 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 0.49/1.20 ------ Proving...
% 0.49/1.20 ------ Problem Properties
% 0.49/1.20
% 0.49/1.20
% 0.49/1.20 clauses 82
% 0.49/1.20 conjectures 3
% 0.49/1.20 EPR 24
% 0.49/1.20 Horn 75
% 0.49/1.20 unary 42
% 0.49/1.20 binary 17
% 0.49/1.20 lits 157
% 0.49/1.20 lits eq 17
% 0.49/1.20 fd_pure 0
% 0.49/1.20 fd_pseudo 0
% 0.49/1.20 fd_cond 1
% 0.49/1.20 fd_pseudo_cond 3
% 0.49/1.20 AC symbols 0
% 0.49/1.20
% 0.49/1.20 ------ Schedule dynamic 5 is on
% 0.49/1.20
% 0.49/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.49/1.20
% 0.49/1.20
% 0.49/1.20 ------
% 0.49/1.20 Current options:
% 0.49/1.20 ------
% 0.49/1.20
% 0.49/1.20
% 0.49/1.20
% 0.49/1.20
% 0.49/1.20 ------ Proving...
% 0.49/1.20
% 0.49/1.20
% 0.49/1.20 % SZS status Theorem for theBenchmark.p
% 0.49/1.20
% 0.49/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.20
% 0.49/1.21
%------------------------------------------------------------------------------