TSTP Solution File: GRP644+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP644+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 : n027.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 16:23:18 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 11
% Syntax : Number of formulae : 78 ( 23 unt; 0 def)
% Number of atoms : 370 ( 4 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 492 ( 200 ~; 198 |; 72 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 91 ( 76 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f759,plain,
$false,
inference(subsumption_resolution,[],[f758,f253]) ).
fof(f253,plain,
~ r2_hidden(sF20,sF19),
inference(definition_folding,[],[f193,f250,f249,f252]) ).
fof(f252,plain,
sF20 = k3_group_1(sK4,sK6),
introduced(function_definition,[]) ).
fof(f249,plain,
k1_latsubgr(sK4) = sF18,
introduced(function_definition,[]) ).
fof(f250,plain,
k1_funct_1(sF18,sK5) = sF19,
introduced(function_definition,[]) ).
fof(f193,plain,
~ r2_hidden(k3_group_1(sK4,sK6),k1_funct_1(k1_latsubgr(sK4),sK5)),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( v3_group_1(sK4)
& l1_group_1(sK4)
& v1_group_1(sK5)
& m1_group_2(sK5,sK4)
& m1_subset_1(sK6,u1_struct_0(sK4))
& r2_hidden(sK6,k1_funct_1(k1_latsubgr(sK4),sK5))
& ~ r2_hidden(k3_group_1(sK4,sK6),k1_funct_1(k1_latsubgr(sK4),sK5))
& v4_group_1(sK4)
& ~ v3_struct_0(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f98,f137,f136,f135]) ).
fof(f135,plain,
( ? [X0] :
( v3_group_1(X0)
& l1_group_1(X0)
& ? [X1] :
( v1_group_1(X1)
& m1_group_2(X1,X0)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) )
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v3_group_1(sK4)
& l1_group_1(sK4)
& ? [X1] :
( v1_group_1(X1)
& m1_group_2(X1,sK4)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK4))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK4),X1))
& ~ r2_hidden(k3_group_1(sK4,X2),k1_funct_1(k1_latsubgr(sK4),X1)) ) )
& v4_group_1(sK4)
& ~ v3_struct_0(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X1] :
( v1_group_1(X1)
& m1_group_2(X1,sK4)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK4))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK4),X1))
& ~ r2_hidden(k3_group_1(sK4,X2),k1_funct_1(k1_latsubgr(sK4),X1)) ) )
=> ( v1_group_1(sK5)
& m1_group_2(sK5,sK4)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK4))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK4),sK5))
& ~ r2_hidden(k3_group_1(sK4,X2),k1_funct_1(k1_latsubgr(sK4),sK5)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(sK4))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(sK4),sK5))
& ~ r2_hidden(k3_group_1(sK4,X2),k1_funct_1(k1_latsubgr(sK4),sK5)) )
=> ( m1_subset_1(sK6,u1_struct_0(sK4))
& r2_hidden(sK6,k1_funct_1(k1_latsubgr(sK4),sK5))
& ~ r2_hidden(k3_group_1(sK4,sK6),k1_funct_1(k1_latsubgr(sK4),sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
? [X0] :
( v3_group_1(X0)
& l1_group_1(X0)
& ? [X1] :
( v1_group_1(X1)
& m1_group_2(X1,X0)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) )
& v4_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X2,u1_struct_0(X0)) )
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
=> r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
=> r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_latsubgr) ).
fof(f758,plain,
r2_hidden(sF20,sF19),
inference(forward_demodulation,[],[f757,f250]) ).
fof(f757,plain,
r2_hidden(sF20,k1_funct_1(sF18,sK5)),
inference(forward_demodulation,[],[f756,f249]) ).
fof(f756,plain,
r2_hidden(sF20,k1_funct_1(k1_latsubgr(sK4),sK5)),
inference(subsumption_resolution,[],[f755,f192]) ).
fof(f192,plain,
v4_group_1(sK4),
inference(cnf_transformation,[],[f138]) ).
fof(f755,plain,
( r2_hidden(sF20,k1_funct_1(k1_latsubgr(sK4),sK5))
| ~ v4_group_1(sK4) ),
inference(subsumption_resolution,[],[f754,f199]) ).
fof(f199,plain,
v3_group_1(sK4),
inference(cnf_transformation,[],[f138]) ).
fof(f754,plain,
( ~ v3_group_1(sK4)
| r2_hidden(sF20,k1_funct_1(k1_latsubgr(sK4),sK5))
| ~ v4_group_1(sK4) ),
inference(subsumption_resolution,[],[f753,f196]) ).
fof(f196,plain,
m1_group_2(sK5,sK4),
inference(cnf_transformation,[],[f138]) ).
fof(f753,plain,
( ~ m1_group_2(sK5,sK4)
| ~ v3_group_1(sK4)
| r2_hidden(sF20,k1_funct_1(k1_latsubgr(sK4),sK5))
| ~ v4_group_1(sK4) ),
inference(subsumption_resolution,[],[f752,f386]) ).
fof(f386,plain,
m1_subset_1(sF20,sF17),
inference(subsumption_resolution,[],[f385,f248]) ).
fof(f248,plain,
m1_subset_1(sK6,sF17),
inference(definition_folding,[],[f195,f247]) ).
fof(f247,plain,
u1_struct_0(sK4) = sF17,
introduced(function_definition,[]) ).
fof(f195,plain,
m1_subset_1(sK6,u1_struct_0(sK4)),
inference(cnf_transformation,[],[f138]) ).
fof(f385,plain,
( m1_subset_1(sF20,sF17)
| ~ m1_subset_1(sK6,sF17) ),
inference(superposition,[],[f371,f252]) ).
fof(f371,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK4,X0),sF17)
| ~ m1_subset_1(X0,sF17) ),
inference(forward_demodulation,[],[f370,f247]) ).
fof(f370,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK4,X0),sF17)
| ~ m1_subset_1(X0,u1_struct_0(sK4)) ),
inference(forward_demodulation,[],[f369,f247]) ).
fof(f369,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK4,X0),u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4)) ),
inference(subsumption_resolution,[],[f368,f191]) ).
fof(f191,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f138]) ).
fof(f368,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK4))
| m1_subset_1(k3_group_1(sK4,X0),u1_struct_0(sK4))
| v3_struct_0(sK4) ),
inference(subsumption_resolution,[],[f367,f199]) ).
fof(f367,plain,
! [X0] :
( ~ v3_group_1(sK4)
| m1_subset_1(k3_group_1(sK4,X0),u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| v3_struct_0(sK4) ),
inference(subsumption_resolution,[],[f366,f198]) ).
fof(f198,plain,
l1_group_1(sK4),
inference(cnf_transformation,[],[f138]) ).
fof(f366,plain,
! [X0] :
( ~ l1_group_1(sK4)
| v3_struct_0(sK4)
| m1_subset_1(k3_group_1(sK4,X0),u1_struct_0(sK4))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ v3_group_1(sK4) ),
inference(resolution,[],[f246,f192]) ).
fof(f246,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& v4_group_1(X0) )
=> m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_group_1) ).
fof(f752,plain,
( ~ m1_subset_1(sF20,sF17)
| ~ v4_group_1(sK4)
| r2_hidden(sF20,k1_funct_1(k1_latsubgr(sK4),sK5))
| ~ m1_group_2(sK5,sK4)
| ~ v3_group_1(sK4) ),
inference(subsumption_resolution,[],[f751,f198]) ).
fof(f751,plain,
( ~ l1_group_1(sK4)
| ~ m1_subset_1(sF20,sF17)
| r2_hidden(sF20,k1_funct_1(k1_latsubgr(sK4),sK5))
| ~ v4_group_1(sK4)
| ~ m1_group_2(sK5,sK4)
| ~ v3_group_1(sK4) ),
inference(subsumption_resolution,[],[f750,f191]) ).
fof(f750,plain,
( r2_hidden(sF20,k1_funct_1(k1_latsubgr(sK4),sK5))
| v3_struct_0(sK4)
| ~ m1_group_2(sK5,sK4)
| ~ m1_subset_1(sF20,sF17)
| ~ l1_group_1(sK4)
| ~ v3_group_1(sK4)
| ~ v4_group_1(sK4) ),
inference(superposition,[],[f633,f247]) ).
fof(f633,plain,
! [X0] :
( ~ m1_subset_1(sF20,u1_struct_0(X0))
| r2_hidden(sF20,k1_funct_1(k1_latsubgr(X0),sK5))
| ~ v3_group_1(X0)
| ~ m1_group_2(sK5,X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(subsumption_resolution,[],[f631,f197]) ).
fof(f197,plain,
v1_group_1(sK5),
inference(cnf_transformation,[],[f138]) ).
fof(f631,plain,
! [X0] :
( ~ v4_group_1(X0)
| r2_hidden(sF20,k1_funct_1(k1_latsubgr(X0),sK5))
| v3_struct_0(X0)
| ~ m1_subset_1(sF20,u1_struct_0(X0))
| ~ v1_group_1(sK5)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(sK5,X0) ),
inference(resolution,[],[f629,f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X1,X2)
| ~ v4_group_1(X0)
| r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ m1_group_2(X1,X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ! [X1] :
( ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2) )
& ( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) )
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ! [X1] :
( ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) ) ) )
| ~ l1_group_1(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) ) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( v3_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(f629,plain,
r1_rlvect_1(sK5,sF20),
inference(forward_demodulation,[],[f628,f252]) ).
fof(f628,plain,
r1_rlvect_1(sK5,k3_group_1(sK4,sK6)),
inference(subsumption_resolution,[],[f626,f248]) ).
fof(f626,plain,
( r1_rlvect_1(sK5,k3_group_1(sK4,sK6))
| ~ m1_subset_1(sK6,sF17) ),
inference(resolution,[],[f616,f251]) ).
fof(f251,plain,
r2_hidden(sK6,sF19),
inference(definition_folding,[],[f194,f250,f249]) ).
fof(f194,plain,
r2_hidden(sK6,k1_funct_1(k1_latsubgr(sK4),sK5)),
inference(cnf_transformation,[],[f138]) ).
fof(f616,plain,
! [X0] :
( ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(X0,sF17)
| r1_rlvect_1(sK5,k3_group_1(sK4,X0)) ),
inference(duplicate_literal_removal,[],[f615]) ).
fof(f615,plain,
! [X0] :
( ~ r2_hidden(X0,sF19)
| r1_rlvect_1(sK5,k3_group_1(sK4,X0))
| ~ m1_subset_1(X0,sF17)
| ~ m1_subset_1(X0,sF17) ),
inference(forward_demodulation,[],[f614,f247]) ).
fof(f614,plain,
! [X0] :
( r1_rlvect_1(sK5,k3_group_1(sK4,X0))
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(X0,sF17)
| ~ m1_subset_1(X0,u1_struct_0(sK4)) ),
inference(subsumption_resolution,[],[f613,f192]) ).
fof(f613,plain,
! [X0] :
( ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(X0,sF17)
| ~ v4_group_1(sK4)
| r1_rlvect_1(sK5,k3_group_1(sK4,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK4)) ),
inference(subsumption_resolution,[],[f612,f198]) ).
fof(f612,plain,
! [X0] :
( ~ l1_group_1(sK4)
| r1_rlvect_1(sK5,k3_group_1(sK4,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(X0,sF17)
| ~ v4_group_1(sK4) ),
inference(subsumption_resolution,[],[f611,f199]) ).
fof(f611,plain,
! [X0] :
( ~ v3_group_1(sK4)
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(X0,sF17)
| r1_rlvect_1(sK5,k3_group_1(sK4,X0))
| ~ l1_group_1(sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ v4_group_1(sK4) ),
inference(subsumption_resolution,[],[f610,f191]) ).
fof(f610,plain,
! [X0] :
( ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(X0,sF17)
| r1_rlvect_1(sK5,k3_group_1(sK4,X0))
| v3_struct_0(sK4)
| ~ v3_group_1(sK4)
| ~ v4_group_1(sK4)
| ~ l1_group_1(sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK4)) ),
inference(resolution,[],[f400,f196]) ).
fof(f400,plain,
! [X2,X3] :
( ~ m1_group_2(sK5,X3)
| ~ v3_group_1(X3)
| ~ m1_subset_1(X2,sF17)
| ~ l1_group_1(X3)
| ~ r2_hidden(X2,sF19)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| v3_struct_0(X3)
| ~ v4_group_1(X3)
| r1_rlvect_1(sK5,k3_group_1(X3,X2)) ),
inference(resolution,[],[f398,f232]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X2,X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| r1_rlvect_1(X2,k3_group_1(X0,X1))
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( ! [X2] :
( ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,X0)
| r1_rlvect_1(X2,k3_group_1(X0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_group_1(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_group_2(X2,X0)
=> ( r1_rlvect_1(X2,X1)
=> r1_rlvect_1(X2,k3_group_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_group_2) ).
fof(f398,plain,
! [X0] :
( r1_rlvect_1(sK5,X0)
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(X0,sF17) ),
inference(forward_demodulation,[],[f397,f250]) ).
fof(f397,plain,
! [X0] :
( ~ r2_hidden(X0,k1_funct_1(sF18,sK5))
| ~ m1_subset_1(X0,sF17)
| r1_rlvect_1(sK5,X0) ),
inference(subsumption_resolution,[],[f392,f197]) ).
fof(f392,plain,
! [X0] :
( r1_rlvect_1(sK5,X0)
| ~ r2_hidden(X0,k1_funct_1(sF18,sK5))
| ~ v1_group_1(sK5)
| ~ m1_subset_1(X0,sF17) ),
inference(resolution,[],[f384,f196]) ).
fof(f384,plain,
! [X0,X1] :
( ~ m1_group_2(X1,sK4)
| ~ m1_subset_1(X0,sF17)
| ~ r2_hidden(X0,k1_funct_1(sF18,X1))
| r1_rlvect_1(X1,X0)
| ~ v1_group_1(X1) ),
inference(forward_demodulation,[],[f383,f249]) ).
fof(f383,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK4),X1))
| ~ m1_group_2(X1,sK4)
| r1_rlvect_1(X1,X0)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X0,sF17) ),
inference(forward_demodulation,[],[f382,f247]) ).
fof(f382,plain,
! [X0,X1] :
( ~ v1_group_1(X1)
| ~ m1_group_2(X1,sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK4),X1))
| r1_rlvect_1(X1,X0) ),
inference(subsumption_resolution,[],[f381,f199]) ).
fof(f381,plain,
! [X0,X1] :
( ~ v3_group_1(sK4)
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK4),X1))
| r1_rlvect_1(X1,X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK4)) ),
inference(subsumption_resolution,[],[f380,f191]) ).
fof(f380,plain,
! [X0,X1] :
( r1_rlvect_1(X1,X0)
| v3_struct_0(sK4)
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK4),X1))
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| ~ v3_group_1(sK4)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,sK4) ),
inference(subsumption_resolution,[],[f379,f198]) ).
fof(f379,plain,
! [X0,X1] :
( ~ l1_group_1(sK4)
| ~ r2_hidden(X0,k1_funct_1(k1_latsubgr(sK4),X1))
| ~ m1_group_2(X1,sK4)
| ~ v1_group_1(X1)
| ~ v3_group_1(sK4)
| ~ m1_subset_1(X0,u1_struct_0(sK4))
| r1_rlvect_1(X1,X0)
| v3_struct_0(sK4) ),
inference(resolution,[],[f203,f192]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_rlvect_1(X1,X2)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ),
inference(cnf_transformation,[],[f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:54:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46 % (23229)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)
% 0.19/0.46 % (23220)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47 % (23238)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.48 % (23220)Instruction limit reached!
% 0.19/0.48 % (23220)------------------------------
% 0.19/0.48 % (23220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (23220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (23220)Termination reason: Unknown
% 0.19/0.48 % (23220)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (23220)Memory used [KB]: 5628
% 0.19/0.48 % (23220)Time elapsed: 0.074 s
% 0.19/0.48 % (23220)Instructions burned: 7 (million)
% 0.19/0.48 % (23220)------------------------------
% 0.19/0.48 % (23220)------------------------------
% 0.19/0.49 % (23237)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)
% 0.19/0.49 % (23218)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (23213)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50 % (23221)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (23221)Instruction limit reached!
% 0.19/0.50 % (23221)------------------------------
% 0.19/0.50 % (23221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23215)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (23221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (23221)Termination reason: Unknown
% 0.19/0.50 % (23221)Termination phase: Blocked clause elimination
% 0.19/0.50
% 0.19/0.50 % (23221)Memory used [KB]: 1023
% 0.19/0.50 % (23221)Time elapsed: 0.005 s
% 0.19/0.50 % (23221)Instructions burned: 3 (million)
% 0.19/0.50 % (23221)------------------------------
% 0.19/0.50 % (23221)------------------------------
% 0.19/0.50 % (23236)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (23224)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (23228)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)
% 0.19/0.51 % (23216)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (23229)First to succeed.
% 0.19/0.51 TRYING [1]
% 0.19/0.51 % (23219)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)
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (23231)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (23232)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (23214)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)
% 0.19/0.52 % (23217)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (23223)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (23233)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (23214)Refutation not found, incomplete strategy% (23214)------------------------------
% 0.19/0.52 % (23214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23214)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (23214)Memory used [KB]: 5628
% 0.19/0.52 % (23214)Time elapsed: 0.123 s
% 0.19/0.52 % (23214)Instructions burned: 6 (million)
% 0.19/0.52 % (23214)------------------------------
% 0.19/0.52 % (23214)------------------------------
% 0.19/0.52 % (23240)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)
% 0.19/0.52 % (23242)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (23230)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)
% 0.19/0.52 % (23235)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (23241)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (23222)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (23238)Also succeeded, but the first one will report.
% 0.19/0.53 % (23229)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (23229)------------------------------
% 0.19/0.53 % (23229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (23229)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (23229)Memory used [KB]: 1535
% 0.19/0.53 % (23229)Time elapsed: 0.106 s
% 0.19/0.53 % (23229)Instructions burned: 36 (million)
% 0.19/0.53 % (23229)------------------------------
% 0.19/0.53 % (23229)------------------------------
% 0.19/0.53 % (23209)Success in time 0.187 s
%------------------------------------------------------------------------------