TSTP Solution File: ALG216+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n010.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 : Wed Aug 31 15:43:41 EDT 2022
% Result : Theorem 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 16
% Syntax : Number of formulae : 124 ( 32 unt; 0 def)
% Number of atoms : 913 ( 58 equ)
% Maximal formula atoms : 42 ( 7 avg)
% Number of connectives : 1393 ( 604 ~; 598 |; 169 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-3 aty)
% Number of variables : 143 ( 128 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f443,plain,
$false,
inference(subsumption_resolution,[],[f441,f188]) ).
fof(f188,plain,
l3_vectsp_1(sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( v8_vectsp_1(sK4)
& v3_rlvect_1(sK4)
& v7_vectsp_1(sK4)
& v4_group_1(sK4)
& l3_vectsp_1(sK4)
& v4_rlvect_1(sK4)
& v6_rlvect_1(sK4)
& v5_rlvect_1(sK4)
& ~ v3_struct_0(sK4)
& v6_vectsp_1(sK4)
& l1_vectsp_2(sK5,sK4)
& m1_subset_1(sK6,u1_struct_0(sK5))
& k1_rlvect_1(sK4) != k2_group_1(sK4)
& ( v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),sK6),sK4,sK5)
| v1_rmod_5(k8_rlvect_2(sK5,sK6,k1_rlvect_1(sK5)),sK4,sK5) )
& ~ v3_struct_0(sK5)
& v5_vectsp_2(sK5,sK4)
& v3_rlvect_1(sK5)
& v5_rlvect_1(sK5)
& v4_rlvect_1(sK5)
& v6_rlvect_1(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f69,f119,f118,f117]) ).
fof(f117,plain,
( ? [X0] :
( v8_vectsp_1(X0)
& v3_rlvect_1(X0)
& v7_vectsp_1(X0)
& v4_group_1(X0)
& l3_vectsp_1(X0)
& v4_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& ~ v3_struct_0(X0)
& v6_vectsp_1(X0)
& ? [X1] :
( l1_vectsp_2(X1,X0)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& k1_rlvect_1(X0) != k2_group_1(X0)
& ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) ) )
& ~ v3_struct_0(X1)
& v5_vectsp_2(X1,X0)
& v3_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v6_rlvect_1(X1) ) )
=> ( v8_vectsp_1(sK4)
& v3_rlvect_1(sK4)
& v7_vectsp_1(sK4)
& v4_group_1(sK4)
& l3_vectsp_1(sK4)
& v4_rlvect_1(sK4)
& v6_rlvect_1(sK4)
& v5_rlvect_1(sK4)
& ~ v3_struct_0(sK4)
& v6_vectsp_1(sK4)
& ? [X1] :
( l1_vectsp_2(X1,sK4)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& k1_rlvect_1(sK4) != k2_group_1(sK4)
& ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),sK4,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),sK4,X1) ) )
& ~ v3_struct_0(X1)
& v5_vectsp_2(X1,sK4)
& v3_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v6_rlvect_1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ? [X1] :
( l1_vectsp_2(X1,sK4)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& k1_rlvect_1(sK4) != k2_group_1(sK4)
& ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),sK4,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),sK4,X1) ) )
& ~ v3_struct_0(X1)
& v5_vectsp_2(X1,sK4)
& v3_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v6_rlvect_1(X1) )
=> ( l1_vectsp_2(sK5,sK4)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK5))
& k1_rlvect_1(sK4) != k2_group_1(sK4)
& ( v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),X2),sK4,sK5)
| v1_rmod_5(k8_rlvect_2(sK5,X2,k1_rlvect_1(sK5)),sK4,sK5) ) )
& ~ v3_struct_0(sK5)
& v5_vectsp_2(sK5,sK4)
& v3_rlvect_1(sK5)
& v5_rlvect_1(sK5)
& v4_rlvect_1(sK5)
& v6_rlvect_1(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK5))
& k1_rlvect_1(sK4) != k2_group_1(sK4)
& ( v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),X2),sK4,sK5)
| v1_rmod_5(k8_rlvect_2(sK5,X2,k1_rlvect_1(sK5)),sK4,sK5) ) )
=> ( m1_subset_1(sK6,u1_struct_0(sK5))
& k1_rlvect_1(sK4) != k2_group_1(sK4)
& ( v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),sK6),sK4,sK5)
| v1_rmod_5(k8_rlvect_2(sK5,sK6,k1_rlvect_1(sK5)),sK4,sK5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
? [X0] :
( v8_vectsp_1(X0)
& v3_rlvect_1(X0)
& v7_vectsp_1(X0)
& v4_group_1(X0)
& l3_vectsp_1(X0)
& v4_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& ~ v3_struct_0(X0)
& v6_vectsp_1(X0)
& ? [X1] :
( l1_vectsp_2(X1,X0)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& k1_rlvect_1(X0) != k2_group_1(X0)
& ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) ) )
& ~ v3_struct_0(X1)
& v5_vectsp_2(X1,X0)
& v3_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v6_rlvect_1(X1) ) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v4_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v5_rlvect_1(X1)
& v3_rlvect_1(X1) )
& v4_group_1(X0)
& v4_rlvect_1(X0)
& l3_vectsp_1(X0)
& v3_rlvect_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v6_rlvect_1(X0)
& v8_vectsp_1(X0)
& v5_rlvect_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v4_group_1(X0)
& v4_rlvect_1(X0)
& l3_vectsp_1(X0)
& v3_rlvect_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v6_rlvect_1(X0)
& v8_vectsp_1(X0)
& v5_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v4_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v5_rlvect_1(X1)
& v3_rlvect_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v4_group_1(X0)
& v4_rlvect_1(X0)
& l3_vectsp_1(X0)
& v3_rlvect_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v6_rlvect_1(X0)
& v8_vectsp_1(X0)
& v5_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v4_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v5_rlvect_1(X1)
& v3_rlvect_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_rmod_5) ).
fof(f441,plain,
~ l3_vectsp_1(sK4),
inference(resolution,[],[f439,f254]) ).
fof(f254,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l3_vectsp_1(X0) ),
inference(resolution,[],[f247,f161]) ).
fof(f161,plain,
! [X0] :
( l1_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) )
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( l3_vectsp_1(X0)
=> ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(f247,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| l1_struct_0(X0) ),
inference(resolution,[],[f217,f158]) ).
fof(f158,plain,
! [X0] :
( ~ l2_struct_0(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( l2_struct_0(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(f217,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> l2_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(f439,plain,
~ l1_struct_0(sK4),
inference(resolution,[],[f438,f272]) ).
fof(f272,plain,
( l1_rlvect_1(sK5)
| ~ l1_struct_0(sK4) ),
inference(resolution,[],[f221,f182]) ).
fof(f182,plain,
l1_vectsp_2(sK5,sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f221,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| l1_rlvect_1(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ~ l1_vectsp_2(X1,X0)
| l1_rlvect_1(X1) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( l1_vectsp_2(X1,X0)
=> l1_rlvect_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).
fof(f438,plain,
~ l1_rlvect_1(sK5),
inference(resolution,[],[f436,f217]) ).
fof(f436,plain,
~ l2_struct_0(sK5),
inference(subsumption_resolution,[],[f435,f420]) ).
fof(f420,plain,
( ~ v1_rmod_5(sF25,sK4,sK5)
| ~ l2_struct_0(sK5) ),
inference(subsumption_resolution,[],[f419,f237]) ).
fof(f237,plain,
m1_subset_1(sK6,sF21),
inference(definition_folding,[],[f181,f236]) ).
fof(f236,plain,
u1_struct_0(sK5) = sF21,
introduced(function_definition,[]) ).
fof(f181,plain,
m1_subset_1(sK6,u1_struct_0(sK5)),
inference(cnf_transformation,[],[f120]) ).
fof(f419,plain,
( ~ v1_rmod_5(sF25,sK4,sK5)
| ~ l2_struct_0(sK5)
| ~ m1_subset_1(sK6,sF21) ),
inference(superposition,[],[f418,f242]) ).
fof(f242,plain,
k8_rlvect_2(sK5,sF24,sK6) = sF25,
introduced(function_definition,[]) ).
fof(f418,plain,
! [X0] :
( ~ v1_rmod_5(k8_rlvect_2(sK5,sF24,X0),sK4,sK5)
| ~ m1_subset_1(X0,sF21)
| ~ l2_struct_0(sK5) ),
inference(resolution,[],[f416,f267]) ).
fof(f267,plain,
( m1_subset_1(sF24,sF21)
| ~ l2_struct_0(sK5) ),
inference(forward_demodulation,[],[f265,f236]) ).
fof(f265,plain,
( m1_subset_1(sF24,u1_struct_0(sK5))
| ~ l2_struct_0(sK5) ),
inference(superposition,[],[f197,f241]) ).
fof(f241,plain,
sF24 = k1_rlvect_1(sK5),
introduced(function_definition,[]) ).
fof(f197,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( l2_struct_0(X0)
=> m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rlvect_1) ).
fof(f416,plain,
! [X0] :
( ~ m1_subset_1(sF24,sF21)
| ~ m1_subset_1(X0,sF21)
| ~ v1_rmod_5(k8_rlvect_2(sK5,sF24,X0),sK4,sK5) ),
inference(forward_demodulation,[],[f415,f236]) ).
fof(f415,plain,
! [X0] :
( ~ v1_rmod_5(k8_rlvect_2(sK5,sF24,X0),sK4,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(sF24,sF21) ),
inference(forward_demodulation,[],[f414,f241]) ).
fof(f414,plain,
! [X0] :
( ~ v1_rmod_5(k8_rlvect_2(sK5,sF24,X0),sK4,sK5)
| ~ m1_subset_1(k1_rlvect_1(sK5),sF21)
| ~ m1_subset_1(X0,u1_struct_0(sK5)) ),
inference(forward_demodulation,[],[f413,f241]) ).
fof(f413,plain,
! [X0] :
( ~ v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),X0),sK4,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(k1_rlvect_1(sK5),sF21) ),
inference(forward_demodulation,[],[f412,f236]) ).
fof(f412,plain,
! [X0] :
( ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),X0),sK4,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK5)) ),
inference(subsumption_resolution,[],[f411,f178]) ).
fof(f178,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f120]) ).
fof(f411,plain,
! [X0] :
( ~ v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),X0),sK4,sK5)
| v3_struct_0(sK5)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5)) ),
inference(subsumption_resolution,[],[f410,f174]) ).
fof(f174,plain,
v4_rlvect_1(sK5),
inference(cnf_transformation,[],[f120]) ).
fof(f410,plain,
! [X0] :
( ~ v4_rlvect_1(sK5)
| ~ v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),X0),sK4,sK5)
| v3_struct_0(sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5)) ),
inference(subsumption_resolution,[],[f409,f173]) ).
fof(f173,plain,
v6_rlvect_1(sK5),
inference(cnf_transformation,[],[f120]) ).
fof(f409,plain,
! [X0] :
( ~ v6_rlvect_1(sK5)
| ~ v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),X0),sK4,sK5)
| ~ v4_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5)) ),
inference(subsumption_resolution,[],[f408,f182]) ).
fof(f408,plain,
! [X0] :
( ~ l1_vectsp_2(sK5,sK4)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),X0),sK4,sK5)
| v3_struct_0(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5) ),
inference(subsumption_resolution,[],[f407,f175]) ).
fof(f175,plain,
v5_rlvect_1(sK5),
inference(cnf_transformation,[],[f120]) ).
fof(f407,plain,
! [X0] :
( ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| v3_struct_0(sK5)
| ~ v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),X0),sK4,sK5)
| ~ v6_rlvect_1(sK5)
| ~ l1_vectsp_2(sK5,sK4) ),
inference(subsumption_resolution,[],[f406,f176]) ).
fof(f176,plain,
v3_rlvect_1(sK5),
inference(cnf_transformation,[],[f120]) ).
fof(f406,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ v3_rlvect_1(sK5)
| ~ v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),X0),sK4,sK5)
| ~ v4_rlvect_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ l1_vectsp_2(sK5,sK4)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| v3_struct_0(sK5)
| ~ v5_rlvect_1(sK5) ),
inference(resolution,[],[f357,f177]) ).
fof(f177,plain,
v5_vectsp_2(sK5,sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f357,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X0,sK4)
| ~ l1_vectsp_2(X0,sK4)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v5_rlvect_1(X0) ),
inference(subsumption_resolution,[],[f356,f240]) ).
fof(f240,plain,
sF23 != sF22,
inference(definition_folding,[],[f180,f239,f238]) ).
fof(f238,plain,
k1_rlvect_1(sK4) = sF22,
introduced(function_definition,[]) ).
fof(f239,plain,
sF23 = k2_group_1(sK4),
introduced(function_definition,[]) ).
fof(f180,plain,
k1_rlvect_1(sK4) != k2_group_1(sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f356,plain,
! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X0,sK4)
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v5_vectsp_2(X0,sK4)
| sF23 = sF22
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(forward_demodulation,[],[f355,f238]) ).
fof(f355,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ l1_vectsp_2(X0,sK4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ v4_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| sF23 = k1_rlvect_1(sK4)
| ~ v3_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK4)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)) ),
inference(forward_demodulation,[],[f354,f239]) ).
fof(f354,plain,
! [X0,X1] :
( ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v5_vectsp_2(X0,sK4)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ l1_vectsp_2(X0,sK4) ),
inference(subsumption_resolution,[],[f353,f186]) ).
fof(f186,plain,
v6_rlvect_1(sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f353,plain,
! [X0,X1] :
( ~ v5_rlvect_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK4)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v5_vectsp_2(X0,sK4)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ v4_rlvect_1(X0)
| ~ v6_rlvect_1(sK4) ),
inference(subsumption_resolution,[],[f352,f190]) ).
fof(f190,plain,
v7_vectsp_1(sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f352,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X0,sK4)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK4)
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ v5_rlvect_1(X0)
| v3_struct_0(X0)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v7_vectsp_1(sK4)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v6_rlvect_1(sK4)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(subsumption_resolution,[],[f351,f191]) ).
fof(f191,plain,
v3_rlvect_1(sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f351,plain,
! [X0,X1] :
( ~ v3_rlvect_1(sK4)
| ~ v7_vectsp_1(sK4)
| ~ v5_vectsp_2(X0,sK4)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK4)
| ~ v6_rlvect_1(sK4)
| ~ v5_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(subsumption_resolution,[],[f350,f184]) ).
fof(f184,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f350,plain,
! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK4)
| ~ v5_vectsp_2(X0,sK4)
| ~ v6_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| v3_struct_0(X0)
| v3_struct_0(sK4)
| ~ v3_rlvect_1(sK4)
| ~ v6_rlvect_1(sK4)
| ~ v7_vectsp_1(sK4) ),
inference(subsumption_resolution,[],[f349,f187]) ).
fof(f187,plain,
v4_rlvect_1(sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f349,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X0,sK4)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(sK4)
| ~ v6_rlvect_1(sK4)
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ v5_vectsp_2(X0,sK4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v7_vectsp_1(sK4)
| v3_struct_0(sK4)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(sK4) ),
inference(subsumption_resolution,[],[f348,f183]) ).
fof(f183,plain,
v6_vectsp_1(sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f348,plain,
! [X0,X1] :
( ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ v5_vectsp_2(X0,sK4)
| ~ v6_vectsp_1(sK4)
| ~ v6_rlvect_1(sK4)
| ~ v6_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(sK4)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(sK4)
| ~ v3_rlvect_1(sK4)
| v3_struct_0(X0)
| ~ v4_rlvect_1(X0)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ l1_vectsp_2(X0,sK4)
| v3_struct_0(sK4)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(subsumption_resolution,[],[f347,f188]) ).
fof(f347,plain,
! [X0,X1] :
( ~ l3_vectsp_1(sK4)
| ~ v3_rlvect_1(sK4)
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(sK4)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(X0,sK4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v7_vectsp_1(sK4)
| v3_struct_0(sK4)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v6_rlvect_1(sK4)
| ~ v4_rlvect_1(sK4)
| ~ v5_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v5_vectsp_2(X0,sK4) ),
inference(subsumption_resolution,[],[f346,f189]) ).
fof(f189,plain,
v4_group_1(sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f346,plain,
! [X0,X1] :
( ~ v4_group_1(sK4)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v6_vectsp_1(sK4)
| ~ l1_vectsp_2(X0,sK4)
| v3_struct_0(sK4)
| ~ v7_vectsp_1(sK4)
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_rlvect_1(sK4)
| ~ v3_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK4)
| ~ v6_rlvect_1(X0)
| ~ l3_vectsp_1(sK4)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(sK4)
| ~ v3_rlvect_1(sK4)
| ~ v4_rlvect_1(X0) ),
inference(subsumption_resolution,[],[f345,f185]) ).
fof(f185,plain,
v5_rlvect_1(sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f345,plain,
! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK4,X0)
| ~ v5_rlvect_1(sK4)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v6_rlvect_1(sK4)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X0,sK4)
| ~ v6_vectsp_1(sK4)
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_group_1(sK4)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v4_rlvect_1(sK4)
| ~ l3_vectsp_1(sK4)
| ~ v3_rlvect_1(sK4)
| v3_struct_0(sK4)
| ~ v7_vectsp_1(sK4)
| ~ v5_vectsp_2(X0,sK4) ),
inference(resolution,[],[f234,f192]) ).
fof(f192,plain,
v8_vectsp_1(sK4),
inference(cnf_transformation,[],[f120]) ).
fof(f234,plain,
! [X3,X0,X1] :
( ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X3),X0,X1)
| ~ l3_vectsp_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v5_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v6_vectsp_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v4_rlvect_1(X0)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1) ),
inference(equality_resolution,[],[f223]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ l3_vectsp_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v6_vectsp_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| k1_rlvect_1(X1) != X2
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v6_vectsp_1(X0)
| ! [X1] :
( ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ! [X3] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ( k1_rlvect_1(X1) != X2
& k1_rlvect_1(X1) != X3 )
| ~ m1_subset_1(X3,u1_struct_0(X1)) ) ) )
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( k1_rlvect_1(X1) != X2
& k1_rlvect_1(X1) != X3 )
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ v4_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ( v4_rlvect_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& v6_rlvect_1(X0)
& v3_rlvect_1(X0)
& v5_rlvect_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
=> ( ( k1_rlvect_1(X1) != X2
& k1_rlvect_1(X1) != X3 )
| k1_rlvect_1(X0) = k2_group_1(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_rmod_5) ).
fof(f435,plain,
( v1_rmod_5(sF25,sK4,sK5)
| ~ l2_struct_0(sK5) ),
inference(resolution,[],[f434,f244]) ).
fof(f244,plain,
( v1_rmod_5(sF26,sK4,sK5)
| v1_rmod_5(sF25,sK4,sK5) ),
inference(definition_folding,[],[f179,f243,f241,f242,f241]) ).
fof(f243,plain,
k8_rlvect_2(sK5,sK6,sF24) = sF26,
introduced(function_definition,[]) ).
fof(f179,plain,
( v1_rmod_5(k8_rlvect_2(sK5,k1_rlvect_1(sK5),sK6),sK4,sK5)
| v1_rmod_5(k8_rlvect_2(sK5,sK6,k1_rlvect_1(sK5)),sK4,sK5) ),
inference(cnf_transformation,[],[f120]) ).
fof(f434,plain,
( ~ v1_rmod_5(sF26,sK4,sK5)
| ~ l2_struct_0(sK5) ),
inference(subsumption_resolution,[],[f433,f237]) ).
fof(f433,plain,
( ~ l2_struct_0(sK5)
| ~ v1_rmod_5(sF26,sK4,sK5)
| ~ m1_subset_1(sK6,sF21) ),
inference(superposition,[],[f432,f243]) ).
fof(f432,plain,
! [X0] :
( ~ v1_rmod_5(k8_rlvect_2(sK5,X0,sF24),sK4,sK5)
| ~ l2_struct_0(sK5)
| ~ m1_subset_1(X0,sF21) ),
inference(resolution,[],[f431,f267]) ).
fof(f431,plain,
! [X0] :
( ~ m1_subset_1(sF24,sF21)
| ~ m1_subset_1(X0,sF21)
| ~ v1_rmod_5(k8_rlvect_2(sK5,X0,sF24),sK4,sK5) ),
inference(forward_demodulation,[],[f430,f241]) ).
fof(f430,plain,
! [X0] :
( ~ m1_subset_1(X0,sF21)
| ~ m1_subset_1(k1_rlvect_1(sK5),sF21)
| ~ v1_rmod_5(k8_rlvect_2(sK5,X0,sF24),sK4,sK5) ),
inference(forward_demodulation,[],[f429,f236]) ).
fof(f429,plain,
! [X0] :
( ~ v1_rmod_5(k8_rlvect_2(sK5,X0,sF24),sK4,sK5)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ m1_subset_1(X0,sF21) ),
inference(forward_demodulation,[],[f428,f241]) ).
fof(f428,plain,
! [X0] :
( ~ v1_rmod_5(k8_rlvect_2(sK5,X0,k1_rlvect_1(sK5)),sK4,sK5)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ m1_subset_1(X0,sF21) ),
inference(forward_demodulation,[],[f427,f236]) ).
fof(f427,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ v1_rmod_5(k8_rlvect_2(sK5,X0,k1_rlvect_1(sK5)),sK4,sK5) ),
inference(subsumption_resolution,[],[f426,f173]) ).
fof(f426,plain,
! [X0] :
( ~ v1_rmod_5(k8_rlvect_2(sK5,X0,k1_rlvect_1(sK5)),sK4,sK5)
| ~ v6_rlvect_1(sK5)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5)) ),
inference(subsumption_resolution,[],[f425,f182]) ).
fof(f425,plain,
! [X0] :
( ~ l1_vectsp_2(sK5,sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ v6_rlvect_1(sK5)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ v1_rmod_5(k8_rlvect_2(sK5,X0,k1_rlvect_1(sK5)),sK4,sK5) ),
inference(subsumption_resolution,[],[f424,f176]) ).
fof(f424,plain,
! [X0] :
( ~ v3_rlvect_1(sK5)
| ~ l1_vectsp_2(sK5,sK4)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ v6_rlvect_1(sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ v1_rmod_5(k8_rlvect_2(sK5,X0,k1_rlvect_1(sK5)),sK4,sK5) ),
inference(subsumption_resolution,[],[f423,f174]) ).
fof(f423,plain,
! [X0] :
( ~ v4_rlvect_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ l1_vectsp_2(sK5,sK4)
| ~ v3_rlvect_1(sK5)
| ~ v1_rmod_5(k8_rlvect_2(sK5,X0,k1_rlvect_1(sK5)),sK4,sK5)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5))
| ~ m1_subset_1(X0,u1_struct_0(sK5)) ),
inference(subsumption_resolution,[],[f422,f178]) ).
fof(f422,plain,
! [X0] :
( v3_struct_0(sK5)
| ~ l1_vectsp_2(sK5,sK4)
| ~ v6_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ v3_rlvect_1(sK5)
| ~ v1_rmod_5(k8_rlvect_2(sK5,X0,k1_rlvect_1(sK5)),sK4,sK5)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5)) ),
inference(subsumption_resolution,[],[f421,f175]) ).
fof(f421,plain,
! [X0] :
( ~ v5_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ v1_rmod_5(k8_rlvect_2(sK5,X0,k1_rlvect_1(sK5)),sK4,sK5)
| ~ v6_rlvect_1(sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK5))
| ~ l1_vectsp_2(sK5,sK4)
| ~ v3_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ m1_subset_1(k1_rlvect_1(sK5),u1_struct_0(sK5)) ),
inference(resolution,[],[f379,f177]) ).
fof(f379,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X0,sK4)
| ~ v4_rlvect_1(X0)
| ~ l1_vectsp_2(X0,sK4)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0)
| ~ v5_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(subsumption_resolution,[],[f378,f240]) ).
fof(f378,plain,
! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0)
| ~ v6_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(X0,sK4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v5_vectsp_2(X0,sK4)
| sF23 = sF22
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(forward_demodulation,[],[f377,f238]) ).
fof(f377,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X0,sK4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ l1_vectsp_2(X0,sK4)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0)
| ~ v3_rlvect_1(X0)
| sF23 = k1_rlvect_1(sK4)
| v3_struct_0(X0) ),
inference(forward_demodulation,[],[f376,f239]) ).
fof(f376,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v5_vectsp_2(X0,sK4)
| ~ v5_rlvect_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0)
| ~ l1_vectsp_2(X0,sK4)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| k1_rlvect_1(sK4) = k2_group_1(sK4) ),
inference(subsumption_resolution,[],[f375,f185]) ).
fof(f375,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X0,sK4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_rlvect_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v5_rlvect_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(sK4)
| ~ v5_vectsp_2(X0,sK4)
| k1_rlvect_1(sK4) = k2_group_1(sK4) ),
inference(subsumption_resolution,[],[f374,f190]) ).
fof(f374,plain,
! [X0,X1] :
( ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v7_vectsp_1(sK4)
| ~ v5_rlvect_1(sK4)
| v3_struct_0(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(X0,sK4)
| ~ v5_vectsp_2(X0,sK4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0) ),
inference(subsumption_resolution,[],[f373,f191]) ).
fof(f373,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X0,sK4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK4)
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(sK4)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v7_vectsp_1(sK4)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(sK4)
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0) ),
inference(subsumption_resolution,[],[f372,f184]) ).
fof(f372,plain,
! [X0,X1] :
( k1_rlvect_1(sK4) = k2_group_1(sK4)
| v3_struct_0(sK4)
| v3_struct_0(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(sK4)
| ~ v5_vectsp_2(X0,sK4)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(sK4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK4)
| ~ v6_rlvect_1(X0)
| ~ v7_vectsp_1(sK4)
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0)
| ~ v5_rlvect_1(X0) ),
inference(subsumption_resolution,[],[f371,f186]) ).
fof(f371,plain,
! [X0,X1] :
( ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0)
| ~ v6_rlvect_1(sK4)
| ~ v5_vectsp_2(X0,sK4)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| v3_struct_0(sK4)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v5_rlvect_1(sK4)
| ~ v3_rlvect_1(sK4)
| ~ v5_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ v7_vectsp_1(sK4)
| ~ l1_vectsp_2(X0,sK4)
| ~ v3_rlvect_1(X0) ),
inference(subsumption_resolution,[],[f370,f188]) ).
fof(f370,plain,
! [X0,X1] :
( k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_vectsp_1(sK4)
| v3_struct_0(X0)
| ~ v3_rlvect_1(sK4)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(sK4)
| v3_struct_0(sK4)
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0)
| ~ v5_rlvect_1(X0)
| ~ l1_vectsp_2(X0,sK4)
| ~ v6_rlvect_1(sK4)
| ~ v3_rlvect_1(X0)
| ~ v7_vectsp_1(sK4)
| ~ v5_vectsp_2(X0,sK4) ),
inference(subsumption_resolution,[],[f369,f189]) ).
fof(f369,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| v3_struct_0(X0)
| ~ v4_group_1(sK4)
| ~ l3_vectsp_1(sK4)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v4_rlvect_1(X0)
| v3_struct_0(sK4)
| ~ v3_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK4)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(sK4)
| ~ v3_rlvect_1(sK4)
| ~ l1_vectsp_2(X0,sK4)
| ~ v6_rlvect_1(sK4)
| ~ v5_rlvect_1(sK4) ),
inference(subsumption_resolution,[],[f368,f183]) ).
fof(f368,plain,
! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0)
| ~ v6_vectsp_1(sK4)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ l3_vectsp_1(sK4)
| v3_struct_0(sK4)
| ~ l1_vectsp_2(X0,sK4)
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(sK4)
| ~ v4_group_1(sK4)
| ~ v7_vectsp_1(sK4)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v6_rlvect_1(sK4)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v5_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(sK4)
| ~ v5_vectsp_2(X0,sK4) ),
inference(subsumption_resolution,[],[f367,f187]) ).
fof(f367,plain,
! [X0,X1] :
( ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(sK4)
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK4,X0)
| ~ l1_vectsp_2(X0,sK4)
| ~ l3_vectsp_1(sK4)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v3_rlvect_1(sK4)
| ~ v5_vectsp_2(X0,sK4)
| v3_struct_0(sK4)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(sK4)
| ~ v5_rlvect_1(sK4)
| ~ v6_rlvect_1(X0)
| k1_rlvect_1(sK4) = k2_group_1(sK4)
| ~ v6_rlvect_1(sK4)
| ~ v6_vectsp_1(sK4)
| v3_struct_0(X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ v4_group_1(sK4) ),
inference(resolution,[],[f235,f192]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l3_vectsp_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v7_vectsp_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X0)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(equality_resolution,[],[f222]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ l3_vectsp_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v6_vectsp_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| k1_rlvect_1(X1) != X3
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Aug 29 14:54:59 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.45 % (32229)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.45 % (32221)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.45 % (32231)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.46 % (32222)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.46 % (32230)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.47 % (32238)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.47 % (32216)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47 TRYING [1]
% 0.15/0.47 TRYING [2]
% 0.15/0.47 % (32223)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.48 % (32223)Instruction limit reached!
% 0.15/0.48 % (32223)------------------------------
% 0.15/0.48 % (32223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 TRYING [3]
% 0.15/0.48 % (32223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (32223)Termination reason: Unknown
% 0.15/0.48 % (32223)Termination phase: Preprocessing 3
% 0.15/0.48
% 0.15/0.48 % (32223)Memory used [KB]: 895
% 0.15/0.48 % (32223)Time elapsed: 0.003 s
% 0.15/0.48 % (32223)Instructions burned: 2 (million)
% 0.15/0.48 % (32223)------------------------------
% 0.15/0.48 % (32223)------------------------------
% 0.15/0.48 % (32240)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.48 % (32222)Instruction limit reached!
% 0.15/0.48 % (32222)------------------------------
% 0.15/0.48 % (32222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (32239)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.48 % (32222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (32222)Termination reason: Unknown
% 0.15/0.48 % (32222)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (32222)Memory used [KB]: 5628
% 0.15/0.48 % (32222)Time elapsed: 0.116 s
% 0.15/0.48 % (32222)Instructions burned: 8 (million)
% 0.15/0.48 % (32222)------------------------------
% 0.15/0.48 % (32222)------------------------------
% 0.15/0.48 % (32230)First to succeed.
% 0.15/0.49 % (32230)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Theorem for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50 % (32230)------------------------------
% 0.15/0.50 % (32230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (32230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (32230)Termination reason: Refutation
% 0.15/0.50
% 0.15/0.50 % (32230)Memory used [KB]: 1279
% 0.15/0.50 % (32230)Time elapsed: 0.119 s
% 0.15/0.50 % (32230)Instructions burned: 14 (million)
% 0.15/0.50 % (32230)------------------------------
% 0.15/0.50 % (32230)------------------------------
% 0.15/0.50 % (32214)Success in time 0.187 s
%------------------------------------------------------------------------------