TSTP Solution File: GRP623+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP623+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 : n004.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 16:23:05 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 94 ( 15 unt; 0 def)
% Number of atoms : 333 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 390 ( 151 ~; 152 |; 62 &)
% ( 6 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 131 ( 125 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f559,plain,
$false,
inference(subsumption_resolution,[],[f558,f466]) ).
fof(f466,plain,
~ v1_xboole_0(k1_autgroup(sK15)),
inference(resolution,[],[f463,f228]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X0,X1,X2)
| ( v1_fraenkel(X0)
& ~ v1_xboole_0(X0) ) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X1,X2,X0] :
( ~ m1_fraenkel(X1,X2,X0)
| ( v1_fraenkel(X1)
& ~ v1_xboole_0(X1) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X2,X1] :
( m1_fraenkel(X1,X2,X0)
=> ( v1_fraenkel(X1)
& ~ v1_xboole_0(X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1,X2,X0] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f463,plain,
m1_fraenkel(k1_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15)),
inference(subsumption_resolution,[],[f462,f273]) ).
fof(f273,plain,
~ v3_struct_0(sK15),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ~ v3_struct_0(sK15)
& v3_group_1(sK15)
& l1_group_1(sK15)
& v1_group_1(sK15)
& v4_group_1(sK15)
& ~ r1_tarski(k4_autgroup(sK15),k1_autgroup(sK15)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f118,f184]) ).
fof(f184,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0)) )
=> ( ~ v3_struct_0(sK15)
& v3_group_1(sK15)
& l1_group_1(sK15)
& v1_group_1(sK15)
& v4_group_1(sK15)
& ~ r1_tarski(k4_autgroup(sK15),k1_autgroup(sK15)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
? [X0] :
( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0)) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0))
& v3_group_1(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v3_group_1(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> r1_tarski(k4_autgroup(X0),k1_autgroup(X0)) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v3_group_1(X0)
& v1_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> r1_tarski(k4_autgroup(X0),k1_autgroup(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_autgroup) ).
fof(f462,plain,
( v3_struct_0(sK15)
| m1_fraenkel(k1_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15)) ),
inference(subsumption_resolution,[],[f461,f270]) ).
fof(f270,plain,
v1_group_1(sK15),
inference(cnf_transformation,[],[f185]) ).
fof(f461,plain,
( ~ v1_group_1(sK15)
| v3_struct_0(sK15)
| m1_fraenkel(k1_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15)) ),
inference(subsumption_resolution,[],[f460,f272]) ).
fof(f272,plain,
v3_group_1(sK15),
inference(cnf_transformation,[],[f185]) ).
fof(f460,plain,
( ~ v3_group_1(sK15)
| ~ v1_group_1(sK15)
| v3_struct_0(sK15)
| m1_fraenkel(k1_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15)) ),
inference(subsumption_resolution,[],[f454,f271]) ).
fof(f271,plain,
l1_group_1(sK15),
inference(cnf_transformation,[],[f185]) ).
fof(f454,plain,
( ~ l1_group_1(sK15)
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v1_group_1(sK15)
| m1_fraenkel(k1_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15)) ),
inference(resolution,[],[f212,f269]) ).
fof(f269,plain,
v4_group_1(sK15),
inference(cnf_transformation,[],[f185]) ).
fof(f212,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( v1_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& v3_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f558,plain,
v1_xboole_0(k1_autgroup(sK15)),
inference(subsumption_resolution,[],[f557,f355]) ).
fof(f355,plain,
m1_subset_1(sK5(k1_autgroup(sK15),k4_autgroup(sK15)),k4_autgroup(sK15)),
inference(resolution,[],[f352,f239]) ).
fof(f239,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X1,X0] :
( ~ r2_hidden(X1,X0)
| m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X1,X0] :
( r2_hidden(X1,X0)
=> m1_subset_1(X1,X0) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X1,X0] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f352,plain,
r2_hidden(sK5(k1_autgroup(sK15),k4_autgroup(sK15)),k4_autgroup(sK15)),
inference(resolution,[],[f226,f268]) ).
fof(f268,plain,
~ r1_tarski(k4_autgroup(sK15),k1_autgroup(sK15)),
inference(cnf_transformation,[],[f185]) ).
fof(f226,plain,
! [X0,X1] :
( r1_tarski(X1,X0)
| r2_hidden(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( r1_tarski(X1,X0)
| ( ~ r2_hidden(sK5(X0,X1),X0)
& r2_hidden(sK5(X0,X1),X1) ) )
& ( ! [X3] :
( r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
| ~ r1_tarski(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f157,f158]) ).
fof(f158,plain,
! [X0,X1] :
( ? [X2] :
( ~ r2_hidden(X2,X0)
& r2_hidden(X2,X1) )
=> ( ~ r2_hidden(sK5(X0,X1),X0)
& r2_hidden(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0,X1] :
( ( r1_tarski(X1,X0)
| ? [X2] :
( ~ r2_hidden(X2,X0)
& r2_hidden(X2,X1) ) )
& ( ! [X3] :
( r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
| ~ r1_tarski(X1,X0) ) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X1,X0] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f557,plain,
( ~ m1_subset_1(sK5(k1_autgroup(sK15),k4_autgroup(sK15)),k4_autgroup(sK15))
| v1_xboole_0(k1_autgroup(sK15)) ),
inference(resolution,[],[f553,f364]) ).
fof(f364,plain,
( ~ m1_subset_1(sK5(k1_autgroup(sK15),k4_autgroup(sK15)),k1_autgroup(sK15))
| v1_xboole_0(k1_autgroup(sK15)) ),
inference(resolution,[],[f245,f357]) ).
fof(f357,plain,
~ r2_hidden(sK5(k1_autgroup(sK15),k4_autgroup(sK15)),k1_autgroup(sK15)),
inference(resolution,[],[f227,f268]) ).
fof(f227,plain,
! [X0,X1] :
( r1_tarski(X1,X0)
| ~ r2_hidden(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f245,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| r2_hidden(X1,X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ( v1_xboole_0(X0)
| r2_hidden(X1,X0) ) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X1,X0] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f553,plain,
! [X0] :
( m1_subset_1(X0,k1_autgroup(sK15))
| ~ m1_subset_1(X0,k4_autgroup(sK15)) ),
inference(subsumption_resolution,[],[f552,f475]) ).
fof(f475,plain,
m1_fraenkel(k4_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15)),
inference(subsumption_resolution,[],[f474,f273]) ).
fof(f474,plain,
( m1_fraenkel(k4_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15))
| v3_struct_0(sK15) ),
inference(subsumption_resolution,[],[f473,f272]) ).
fof(f473,plain,
( ~ v3_group_1(sK15)
| m1_fraenkel(k4_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15))
| v3_struct_0(sK15) ),
inference(subsumption_resolution,[],[f472,f270]) ).
fof(f472,plain,
( ~ v1_group_1(sK15)
| v3_struct_0(sK15)
| m1_fraenkel(k4_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15))
| ~ v3_group_1(sK15) ),
inference(subsumption_resolution,[],[f470,f271]) ).
fof(f470,plain,
( m1_fraenkel(k4_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15))
| ~ l1_group_1(sK15)
| v3_struct_0(sK15)
| ~ v3_group_1(sK15)
| ~ v1_group_1(sK15) ),
inference(resolution,[],[f238,f269]) ).
fof(f238,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ~ l1_group_1(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f552,plain,
! [X0] :
( ~ m1_fraenkel(k4_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15))
| ~ m1_subset_1(X0,k4_autgroup(sK15))
| m1_subset_1(X0,k1_autgroup(sK15)) ),
inference(subsumption_resolution,[],[f551,f392]) ).
fof(f392,plain,
~ v1_xboole_0(u1_struct_0(sK15)),
inference(subsumption_resolution,[],[f389,f271]) ).
fof(f389,plain,
( ~ l1_group_1(sK15)
| ~ v1_xboole_0(u1_struct_0(sK15)) ),
inference(resolution,[],[f344,f273]) ).
fof(f344,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(resolution,[],[f294,f253]) ).
fof(f253,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f294,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f551,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK15))
| m1_subset_1(X0,k1_autgroup(sK15))
| v1_xboole_0(u1_struct_0(sK15))
| ~ m1_fraenkel(k4_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15)) ),
inference(resolution,[],[f545,f284]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X1,X2,X0)
| ~ m1_subset_1(X3,X0)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X1,X2,X0)
| ~ m1_subset_1(X3,X0) )
& ( m1_subset_1(X3,X0)
| ~ m2_fraenkel(X3,X1,X2,X0) ) )
| ~ m1_fraenkel(X0,X1,X2)
| v1_xboole_0(X2) ),
inference(rectify,[],[f192]) ).
fof(f192,plain,
! [X1,X2,X0] :
( ! [X3] :
( ( m2_fraenkel(X3,X2,X0,X1)
| ~ m1_subset_1(X3,X1) )
& ( m1_subset_1(X3,X1)
| ~ m2_fraenkel(X3,X2,X0,X1) ) )
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X1,X2,X0] :
( ! [X3] :
( m2_fraenkel(X3,X2,X0,X1)
<=> m1_subset_1(X3,X1) )
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X2,X1] :
( ! [X3] :
( m2_fraenkel(X3,X2,X0,X1)
<=> m1_subset_1(X3,X1) )
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X2,X1] :
( ( m1_fraenkel(X1,X2,X0)
& ~ v1_xboole_0(X0) )
=> ! [X3] :
( m2_fraenkel(X3,X2,X0,X1)
<=> m1_subset_1(X3,X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X1,X2,X0] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f545,plain,
! [X1] :
( ~ m2_fraenkel(X1,u1_struct_0(sK15),u1_struct_0(sK15),k4_autgroup(sK15))
| m1_subset_1(X1,k1_autgroup(sK15)) ),
inference(subsumption_resolution,[],[f544,f392]) ).
fof(f544,plain,
! [X1] :
( v1_xboole_0(u1_struct_0(sK15))
| m1_subset_1(X1,k1_autgroup(sK15))
| ~ m2_fraenkel(X1,u1_struct_0(sK15),u1_struct_0(sK15),k4_autgroup(sK15)) ),
inference(subsumption_resolution,[],[f538,f463]) ).
fof(f538,plain,
! [X1] :
( ~ m1_fraenkel(k1_autgroup(sK15),u1_struct_0(sK15),u1_struct_0(sK15))
| v1_xboole_0(u1_struct_0(sK15))
| ~ m2_fraenkel(X1,u1_struct_0(sK15),u1_struct_0(sK15),k4_autgroup(sK15))
| m1_subset_1(X1,k1_autgroup(sK15)) ),
inference(resolution,[],[f536,f283]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X1,X2,X0)
| v1_xboole_0(X2)
| m1_subset_1(X3,X0)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f536,plain,
! [X0] :
( m2_fraenkel(X0,u1_struct_0(sK15),u1_struct_0(sK15),k1_autgroup(sK15))
| ~ m2_fraenkel(X0,u1_struct_0(sK15),u1_struct_0(sK15),k4_autgroup(sK15)) ),
inference(subsumption_resolution,[],[f535,f272]) ).
fof(f535,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK15),u1_struct_0(sK15),k4_autgroup(sK15))
| m2_fraenkel(X0,u1_struct_0(sK15),u1_struct_0(sK15),k1_autgroup(sK15))
| ~ v3_group_1(sK15) ),
inference(subsumption_resolution,[],[f534,f271]) ).
fof(f534,plain,
! [X0] :
( m2_fraenkel(X0,u1_struct_0(sK15),u1_struct_0(sK15),k1_autgroup(sK15))
| ~ l1_group_1(sK15)
| ~ v3_group_1(sK15)
| ~ m2_fraenkel(X0,u1_struct_0(sK15),u1_struct_0(sK15),k4_autgroup(sK15)) ),
inference(subsumption_resolution,[],[f533,f273]) ).
fof(f533,plain,
! [X0] :
( v3_struct_0(sK15)
| m2_fraenkel(X0,u1_struct_0(sK15),u1_struct_0(sK15),k1_autgroup(sK15))
| ~ m2_fraenkel(X0,u1_struct_0(sK15),u1_struct_0(sK15),k4_autgroup(sK15))
| ~ v3_group_1(sK15)
| ~ l1_group_1(sK15) ),
inference(subsumption_resolution,[],[f527,f270]) ).
fof(f527,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK15),u1_struct_0(sK15),k4_autgroup(sK15))
| ~ v1_group_1(sK15)
| m2_fraenkel(X0,u1_struct_0(sK15),u1_struct_0(sK15),k1_autgroup(sK15))
| ~ l1_group_1(sK15)
| ~ v3_group_1(sK15)
| v3_struct_0(sK15) ),
inference(resolution,[],[f288,f269]) ).
fof(f288,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_autgroup) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP623+1 : TPTP v8.1.0. Released v3.4.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n004.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 : Mon Aug 29 22:32:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (16315)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)
% 0.20/0.48 % (16297)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)
% 0.20/0.49 % (16307)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)
% 0.20/0.49 % (16298)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (16314)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)
% 0.20/0.50 TRYING [1]
% 0.20/0.51 % (16306)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)
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (16298)Instruction limit reached!
% 0.20/0.51 % (16298)------------------------------
% 0.20/0.51 % (16298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (16298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (16298)Termination reason: Unknown
% 0.20/0.51 % (16298)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (16298)Memory used [KB]: 5628
% 0.20/0.51 % (16298)Time elapsed: 0.093 s
% 0.20/0.51 % (16298)Instructions burned: 7 (million)
% 0.20/0.51 % (16298)------------------------------
% 0.20/0.51 % (16298)------------------------------
% 0.20/0.51 % (16318)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)
% 0.20/0.51 % (16295)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (16293)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)
% 0.20/0.52 TRYING [3]
% 0.20/0.53 % (16294)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)
% 0.20/0.53 % (16296)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)
% 0.20/0.53 % (16291)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)
% 0.20/0.53 % (16317)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (16310)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (16292)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)
% 0.20/0.53 % (16292)Refutation not found, incomplete strategy% (16292)------------------------------
% 0.20/0.53 % (16292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (16292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (16292)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (16292)Memory used [KB]: 5628
% 0.20/0.53 % (16314)First to succeed.
% 0.20/0.53 % (16292)Time elapsed: 0.135 s
% 0.20/0.53 % (16292)Instructions burned: 7 (million)
% 0.20/0.53 % (16292)------------------------------
% 0.20/0.53 % (16292)------------------------------
% 0.20/0.53 % (16311)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)
% 0.20/0.54 % (16301)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (16305)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (16320)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (16314)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (16314)------------------------------
% 0.20/0.54 % (16314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (16314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (16314)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (16314)Memory used [KB]: 1279
% 0.20/0.54 % (16314)Time elapsed: 0.130 s
% 0.20/0.54 % (16314)Instructions burned: 14 (million)
% 0.20/0.54 % (16314)------------------------------
% 0.20/0.54 % (16314)------------------------------
% 0.20/0.54 % (16288)Success in time 0.185 s
%------------------------------------------------------------------------------