TSTP Solution File: ALG216+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG216+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 : Tue Apr 30 20:11:03 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 31
% Syntax : Number of formulae : 148 ( 43 unt; 0 def)
% Number of atoms : 531 ( 21 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 621 ( 238 ~; 251 |; 89 &)
% ( 24 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 25 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 49 ( 46 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v4_group_1(A)
& v6_vectsp_1(A)
& v7_vectsp_1(A)
& v8_vectsp_1(A)
& l3_vectsp_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v5_vectsp_2(B,A)
& l1_vectsp_2(B,A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( k1_rlvect_1(A) != k2_group_1(A)
=> ( ~ v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B)
& ~ v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v4_group_1(A)
& v6_vectsp_1(A)
& v7_vectsp_1(A)
& v8_vectsp_1(A)
& l3_vectsp_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v5_vectsp_2(B,A)
& l1_vectsp_2(B,A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( k1_rlvect_1(A) != k2_group_1(A)
=> ( ~ v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B)
& ~ v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f31,axiom,
! [A] :
( l1_rlvect_1(A)
=> l2_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [A] :
( l2_struct_0(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [A] :
( l2_struct_0(A)
=> m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [A] :
( l1_struct_0(A)
=> ! [B] :
( l1_vectsp_2(B,A)
=> l1_rlvect_1(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [A] :
( l3_vectsp_1(A)
=> ( l1_rlvect_1(A)
& l2_vectsp_1(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v4_group_1(A)
& v6_vectsp_1(A)
& v7_vectsp_1(A)
& v8_vectsp_1(A)
& l3_vectsp_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v5_vectsp_2(B,A)
& l1_vectsp_2(B,A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( v1_rmod_5(k8_rlvect_2(B,C,D),A,B)
=> ( k1_rlvect_1(A) = k2_group_1(A)
| ( C != k1_rlvect_1(B)
& D != k1_rlvect_1(B) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,plain,
? [A] :
( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v4_group_1(A)
& v6_vectsp_1(A)
& v7_vectsp_1(A)
& v8_vectsp_1(A)
& l3_vectsp_1(A)
& ? [B] :
( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v5_vectsp_2(B,A)
& l1_vectsp_2(B,A)
& ? [C] :
( m1_subset_1(C,u1_struct_0(B))
& k1_rlvect_1(A) != k2_group_1(A)
& ( v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B)
| v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f56,plain,
( ~ v3_struct_0(sk0_0)
& v3_rlvect_1(sk0_0)
& v4_rlvect_1(sk0_0)
& v5_rlvect_1(sk0_0)
& v6_rlvect_1(sk0_0)
& v4_group_1(sk0_0)
& v6_vectsp_1(sk0_0)
& v7_vectsp_1(sk0_0)
& v8_vectsp_1(sk0_0)
& l3_vectsp_1(sk0_0)
& ~ v3_struct_0(sk0_1)
& v3_rlvect_1(sk0_1)
& v4_rlvect_1(sk0_1)
& v5_rlvect_1(sk0_1)
& v6_rlvect_1(sk0_1)
& v5_vectsp_2(sk0_1,sk0_0)
& l1_vectsp_2(sk0_1,sk0_0)
& m1_subset_1(sk0_2,u1_struct_0(sk0_1))
& k1_rlvect_1(sk0_0) != k2_group_1(sk0_0)
& ( v1_rmod_5(k8_rlvect_2(sk0_1,sk0_2,k1_rlvect_1(sk0_1)),sk0_0,sk0_1)
| v1_rmod_5(k8_rlvect_2(sk0_1,k1_rlvect_1(sk0_1),sk0_2),sk0_0,sk0_1) ) ),
inference(skolemization,[status(esa)],[f55]) ).
fof(f57,plain,
~ v3_struct_0(sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f58,plain,
v3_rlvect_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f59,plain,
v4_rlvect_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f60,plain,
v5_rlvect_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f61,plain,
v6_rlvect_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f62,plain,
v4_group_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f63,plain,
v6_vectsp_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f64,plain,
v7_vectsp_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f65,plain,
v8_vectsp_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f66,plain,
l3_vectsp_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f67,plain,
~ v3_struct_0(sk0_1),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f68,plain,
v3_rlvect_1(sk0_1),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f69,plain,
v4_rlvect_1(sk0_1),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f70,plain,
v5_rlvect_1(sk0_1),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f71,plain,
v6_rlvect_1(sk0_1),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f72,plain,
v5_vectsp_2(sk0_1,sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f73,plain,
l1_vectsp_2(sk0_1,sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f74,plain,
m1_subset_1(sk0_2,u1_struct_0(sk0_1)),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f75,plain,
k1_rlvect_1(sk0_0) != k2_group_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f76,plain,
( v1_rmod_5(k8_rlvect_2(sk0_1,sk0_2,k1_rlvect_1(sk0_1)),sk0_0,sk0_1)
| v1_rmod_5(k8_rlvect_2(sk0_1,k1_rlvect_1(sk0_1),sk0_2),sk0_0,sk0_1) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f137,plain,
! [A] :
( ~ l1_rlvect_1(A)
| l2_struct_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f138,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f137]) ).
fof(f139,plain,
! [A] :
( ~ l2_struct_0(A)
| l1_struct_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f140,plain,
! [X0] :
( ~ l2_struct_0(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f173,plain,
! [A] :
( ~ l2_struct_0(A)
| m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f47]) ).
fof(f174,plain,
! [X0] :
( ~ l2_struct_0(X0)
| m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f173]) ).
fof(f180,plain,
! [A] :
( ~ l1_struct_0(A)
| ! [B] :
( ~ l1_vectsp_2(B,A)
| l1_rlvect_1(B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f50]) ).
fof(f181,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| l1_rlvect_1(X1) ),
inference(cnf_transformation,[status(esa)],[f180]) ).
fof(f182,plain,
! [A] :
( ~ l3_vectsp_1(A)
| ( l1_rlvect_1(A)
& l2_vectsp_1(A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f51]) ).
fof(f183,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| l1_rlvect_1(X0) ),
inference(cnf_transformation,[status(esa)],[f182]) ).
fof(f185,plain,
! [A] :
( v3_struct_0(A)
| ~ v3_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v6_rlvect_1(A)
| ~ v4_group_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ l3_vectsp_1(A)
| ! [B] :
( v3_struct_0(B)
| ~ v3_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v6_rlvect_1(B)
| ~ v5_vectsp_2(B,A)
| ~ l1_vectsp_2(B,A)
| ! [C] :
( ~ m1_subset_1(C,u1_struct_0(B))
| ! [D] :
( ~ m1_subset_1(D,u1_struct_0(B))
| ~ v1_rmod_5(k8_rlvect_2(B,C,D),A,B)
| k1_rlvect_1(A) = k2_group_1(A)
| ( C != k1_rlvect_1(B)
& D != k1_rlvect_1(B) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| k1_rlvect_1(X0) = k2_group_1(X0)
| X2 != k1_rlvect_1(X1) ),
inference(cnf_transformation,[status(esa)],[f185]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| k1_rlvect_1(X0) = k2_group_1(X0)
| X3 != k1_rlvect_1(X1) ),
inference(cnf_transformation,[status(esa)],[f185]) ).
fof(f188,plain,
( spl0_0
<=> v1_rmod_5(k8_rlvect_2(sk0_1,sk0_2,k1_rlvect_1(sk0_1)),sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f189,plain,
( v1_rmod_5(k8_rlvect_2(sk0_1,sk0_2,k1_rlvect_1(sk0_1)),sk0_0,sk0_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( spl0_1
<=> v1_rmod_5(k8_rlvect_2(sk0_1,k1_rlvect_1(sk0_1),sk0_2),sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f192,plain,
( v1_rmod_5(k8_rlvect_2(sk0_1,k1_rlvect_1(sk0_1),sk0_2),sk0_0,sk0_1)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f76,f188,f191]) ).
fof(f195,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
| k1_rlvect_1(X0) = k2_group_1(X0) ),
inference(destructive_equality_resolution,[status(esa)],[f186]) ).
fof(f196,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| k1_rlvect_1(X0) = k2_group_1(X0) ),
inference(destructive_equality_resolution,[status(esa)],[f187]) ).
fof(f197,plain,
( spl0_2
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f198,plain,
( v3_struct_0(sk0_0)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( spl0_3
<=> v3_rlvect_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f202,plain,
( ~ v3_rlvect_1(sk0_0)
| spl0_3 ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( spl0_4
<=> v4_rlvect_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f205,plain,
( ~ v4_rlvect_1(sk0_0)
| spl0_4 ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( spl0_5
<=> v5_rlvect_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f208,plain,
( ~ v5_rlvect_1(sk0_0)
| spl0_5 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( spl0_6
<=> v6_rlvect_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f211,plain,
( ~ v6_rlvect_1(sk0_0)
| spl0_6 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( spl0_7
<=> v4_group_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f214,plain,
( ~ v4_group_1(sk0_0)
| spl0_7 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( spl0_8
<=> v6_vectsp_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f217,plain,
( ~ v6_vectsp_1(sk0_0)
| spl0_8 ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( spl0_9
<=> v7_vectsp_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f220,plain,
( ~ v7_vectsp_1(sk0_0)
| spl0_9 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( spl0_10
<=> v8_vectsp_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f223,plain,
( ~ v8_vectsp_1(sk0_0)
| spl0_10 ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,plain,
( spl0_11
<=> l3_vectsp_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f226,plain,
( ~ l3_vectsp_1(sk0_0)
| spl0_11 ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( spl0_12
<=> v3_struct_0(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f228,plain,
( v3_struct_0(sk0_1)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( spl0_13
<=> v3_rlvect_1(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( ~ v3_rlvect_1(sk0_1)
| spl0_13 ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( spl0_14
<=> v4_rlvect_1(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f235,plain,
( ~ v4_rlvect_1(sk0_1)
| spl0_14 ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( spl0_15
<=> v5_rlvect_1(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f238,plain,
( ~ v5_rlvect_1(sk0_1)
| spl0_15 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( spl0_16
<=> v6_rlvect_1(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f241,plain,
( ~ v6_rlvect_1(sk0_1)
| spl0_16 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( spl0_17
<=> v5_vectsp_2(sk0_1,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f244,plain,
( ~ v5_vectsp_2(sk0_1,sk0_0)
| spl0_17 ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( spl0_18
<=> l1_vectsp_2(sk0_1,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f247,plain,
( ~ l1_vectsp_2(sk0_1,sk0_0)
| spl0_18 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( spl0_19
<=> m1_subset_1(sk0_2,u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f250,plain,
( ~ m1_subset_1(sk0_2,u1_struct_0(sk0_1))
| spl0_19 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( spl0_20
<=> m1_subset_1(k1_rlvect_1(sk0_1),u1_struct_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f253,plain,
( ~ m1_subset_1(k1_rlvect_1(sk0_1),u1_struct_0(sk0_1))
| spl0_20 ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,plain,
( spl0_21
<=> k1_rlvect_1(sk0_0) = k2_group_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f255,plain,
( k1_rlvect_1(sk0_0) = k2_group_1(sk0_0)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( v3_struct_0(sk0_0)
| ~ v3_rlvect_1(sk0_0)
| ~ v4_rlvect_1(sk0_0)
| ~ v5_rlvect_1(sk0_0)
| ~ v6_rlvect_1(sk0_0)
| ~ v4_group_1(sk0_0)
| ~ v6_vectsp_1(sk0_0)
| ~ v7_vectsp_1(sk0_0)
| ~ v8_vectsp_1(sk0_0)
| ~ l3_vectsp_1(sk0_0)
| v3_struct_0(sk0_1)
| ~ v3_rlvect_1(sk0_1)
| ~ v4_rlvect_1(sk0_1)
| ~ v5_rlvect_1(sk0_1)
| ~ v6_rlvect_1(sk0_1)
| ~ v5_vectsp_2(sk0_1,sk0_0)
| ~ l1_vectsp_2(sk0_1,sk0_0)
| ~ m1_subset_1(sk0_2,u1_struct_0(sk0_1))
| ~ m1_subset_1(k1_rlvect_1(sk0_1),u1_struct_0(sk0_1))
| k1_rlvect_1(sk0_0) = k2_group_1(sk0_0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f196,f189]) ).
fof(f258,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| spl0_21
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f257,f197,f200,f203,f206,f209,f212,f215,f218,f221,f224,f227,f230,f233,f236,f239,f242,f245,f248,f251,f254,f188]) ).
fof(f259,plain,
( v3_struct_0(sk0_0)
| ~ v3_rlvect_1(sk0_0)
| ~ v4_rlvect_1(sk0_0)
| ~ v5_rlvect_1(sk0_0)
| ~ v6_rlvect_1(sk0_0)
| ~ v4_group_1(sk0_0)
| ~ v6_vectsp_1(sk0_0)
| ~ v7_vectsp_1(sk0_0)
| ~ v8_vectsp_1(sk0_0)
| ~ l3_vectsp_1(sk0_0)
| v3_struct_0(sk0_1)
| ~ v3_rlvect_1(sk0_1)
| ~ v4_rlvect_1(sk0_1)
| ~ v5_rlvect_1(sk0_1)
| ~ v6_rlvect_1(sk0_1)
| ~ v5_vectsp_2(sk0_1,sk0_0)
| ~ l1_vectsp_2(sk0_1,sk0_0)
| ~ m1_subset_1(k1_rlvect_1(sk0_1),u1_struct_0(sk0_1))
| ~ m1_subset_1(sk0_2,u1_struct_0(sk0_1))
| k1_rlvect_1(sk0_0) = k2_group_1(sk0_0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f192,f195]) ).
fof(f260,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_19
| spl0_21
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f259,f197,f200,f203,f206,f209,f212,f215,f218,f221,f224,f227,f230,f233,f236,f239,f242,f245,f251,f248,f254,f191]) ).
fof(f261,plain,
( $false
| spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f74]) ).
fof(f262,plain,
spl0_19,
inference(contradiction_clause,[status(thm)],[f261]) ).
fof(f287,plain,
l1_rlvect_1(sk0_0),
inference(resolution,[status(thm)],[f183,f66]) ).
fof(f288,plain,
l2_struct_0(sk0_0),
inference(resolution,[status(thm)],[f287,f138]) ).
fof(f289,plain,
l1_struct_0(sk0_0),
inference(resolution,[status(thm)],[f288,f140]) ).
fof(f328,plain,
( spl0_24
<=> l1_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f330,plain,
( ~ l1_struct_0(sk0_0)
| spl0_24 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( spl0_25
<=> l1_rlvect_1(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f332,plain,
( l1_rlvect_1(sk0_1)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( ~ l1_struct_0(sk0_0)
| l1_rlvect_1(sk0_1) ),
inference(resolution,[status(thm)],[f181,f73]) ).
fof(f335,plain,
( ~ spl0_24
| spl0_25 ),
inference(split_clause,[status(thm)],[f334,f328,f331]) ).
fof(f336,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f330,f289]) ).
fof(f337,plain,
spl0_24,
inference(contradiction_clause,[status(thm)],[f336]) ).
fof(f341,plain,
( l2_struct_0(sk0_1)
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f332,f138]) ).
fof(f405,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f247,f73]) ).
fof(f406,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f244,f72]) ).
fof(f408,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f241,f71]) ).
fof(f410,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f409]) ).
fof(f411,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f238,f70]) ).
fof(f412,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f69]) ).
fof(f414,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f413]) ).
fof(f415,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f232,f68]) ).
fof(f416,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f415]) ).
fof(f417,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f226,f66]) ).
fof(f418,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f417]) ).
fof(f419,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f65]) ).
fof(f420,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f419]) ).
fof(f421,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f220,f64]) ).
fof(f422,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f63]) ).
fof(f424,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f423]) ).
fof(f425,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f214,f62]) ).
fof(f426,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f211,f61]) ).
fof(f428,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f208,f60]) ).
fof(f430,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f429]) ).
fof(f431,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f205,f59]) ).
fof(f432,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f202,f58]) ).
fof(f434,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f433]) ).
fof(f437,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f67]) ).
fof(f438,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f437]) ).
fof(f467,plain,
( ~ l2_struct_0(sk0_1)
| spl0_20 ),
inference(resolution,[status(thm)],[f174,f253]) ).
fof(f468,plain,
( $false
| ~ spl0_25
| spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f467,f341]) ).
fof(f469,plain,
( ~ spl0_25
| spl0_20 ),
inference(contradiction_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f57]) ).
fof(f472,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f75]) ).
fof(f474,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f473]) ).
fof(f475,plain,
$false,
inference(sat_refutation,[status(thm)],[f194,f258,f260,f262,f335,f337,f406,f408,f410,f412,f414,f416,f418,f420,f422,f424,f426,f428,f430,f432,f434,f438,f469,f472,f474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG216+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 23:34:51 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.36 % Elapsed time: 0.021617 seconds
% 0.11/0.36 % CPU time: 0.052601 seconds
% 0.11/0.36 % Total memory used: 15.955 MB
% 0.11/0.36 % Net memory used: 15.921 MB
%------------------------------------------------------------------------------