TSTP Solution File: TOP034+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP034+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 : n011.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 19:53:31 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 79 ( 15 unt; 0 def)
% Number of atoms : 436 ( 0 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 539 ( 182 ~; 228 |; 111 &)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 70 ( 52 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f941,plain,
$false,
inference(subsumption_resolution,[],[f940,f472]) ).
fof(f472,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
( v2_pre_topc(sK20)
& ~ v3_struct_0(sK20)
& m2_tsp_1(sK21,sK20)
& ~ r1_borsuk_1(sK20,sK21)
& ~ v3_struct_0(sK21)
& v2_tsp_2(sK21,sK20)
& l1_pre_topc(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f212,f294,f293]) ).
fof(f293,plain,
( ? [X0] :
( v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_tsp_1(X1,X0)
& ~ r1_borsuk_1(X0,X1)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0) )
& l1_pre_topc(X0) )
=> ( v2_pre_topc(sK20)
& ~ v3_struct_0(sK20)
& ? [X1] :
( m2_tsp_1(X1,sK20)
& ~ r1_borsuk_1(sK20,X1)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,sK20) )
& l1_pre_topc(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f294,plain,
( ? [X1] :
( m2_tsp_1(X1,sK20)
& ~ r1_borsuk_1(sK20,X1)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,sK20) )
=> ( m2_tsp_1(sK21,sK20)
& ~ r1_borsuk_1(sK20,sK21)
& ~ v3_struct_0(sK21)
& v2_tsp_2(sK21,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f212,plain,
? [X0] :
( v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_tsp_1(X1,X0)
& ~ r1_borsuk_1(X0,X1)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0) )
& l1_pre_topc(X0) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(X0,X1)
& m2_tsp_1(X1,X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0) )
=> r1_borsuk_1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0) )
=> r1_borsuk_1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).
fof(f940,plain,
v3_struct_0(sK20),
inference(subsumption_resolution,[],[f939,f470]) ).
fof(f470,plain,
~ r1_borsuk_1(sK20,sK21),
inference(cnf_transformation,[],[f295]) ).
fof(f939,plain,
( r1_borsuk_1(sK20,sK21)
| v3_struct_0(sK20) ),
inference(subsumption_resolution,[],[f938,f510]) ).
fof(f510,plain,
m1_pre_topc(sK21,sK20),
inference(subsumption_resolution,[],[f509,f467]) ).
fof(f467,plain,
l1_pre_topc(sK20),
inference(cnf_transformation,[],[f295]) ).
fof(f509,plain,
( m1_pre_topc(sK21,sK20)
| ~ l1_pre_topc(sK20) ),
inference(resolution,[],[f394,f471]) ).
fof(f471,plain,
m2_tsp_1(sK21,sK20),
inference(cnf_transformation,[],[f295]) ).
fof(f394,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) )
& ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( m1_pre_topc(X1,X0)
<=> m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
<=> m2_tsp_1(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f938,plain,
( ~ m1_pre_topc(sK21,sK20)
| v3_struct_0(sK20)
| r1_borsuk_1(sK20,sK21) ),
inference(subsumption_resolution,[],[f937,f467]) ).
fof(f937,plain,
( ~ l1_pre_topc(sK20)
| r1_borsuk_1(sK20,sK21)
| v3_struct_0(sK20)
| ~ m1_pre_topc(sK21,sK20) ),
inference(subsumption_resolution,[],[f936,f897]) ).
fof(f897,plain,
v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21)),
inference(subsumption_resolution,[],[f896,f473]) ).
fof(f473,plain,
v2_pre_topc(sK20),
inference(cnf_transformation,[],[f295]) ).
fof(f896,plain,
( ~ v2_pre_topc(sK20)
| v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21)) ),
inference(subsumption_resolution,[],[f895,f469]) ).
fof(f469,plain,
~ v3_struct_0(sK21),
inference(cnf_transformation,[],[f295]) ).
fof(f895,plain,
( v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| v3_struct_0(sK21)
| ~ v2_pre_topc(sK20) ),
inference(subsumption_resolution,[],[f894,f471]) ).
fof(f894,plain,
( ~ m2_tsp_1(sK21,sK20)
| ~ v2_pre_topc(sK20)
| v3_struct_0(sK21)
| v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21)) ),
inference(subsumption_resolution,[],[f893,f467]) ).
fof(f893,plain,
( ~ l1_pre_topc(sK20)
| ~ m2_tsp_1(sK21,sK20)
| ~ v2_pre_topc(sK20)
| v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| v3_struct_0(sK21) ),
inference(subsumption_resolution,[],[f892,f472]) ).
fof(f892,plain,
( v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20)
| v3_struct_0(sK21)
| v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| ~ m2_tsp_1(sK21,sK20) ),
inference(resolution,[],[f401,f468]) ).
fof(f468,plain,
v2_tsp_2(sK21,sK20),
inference(cnf_transformation,[],[f295]) ).
fof(f401,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| v1_funct_2(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ v2_tsp_2(X1,X0)
| ( v3_borsuk_1(sK14(X0,X1),X0,X1)
& m2_relset_1(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK14(X0,X1),X0,X1)
& v1_funct_1(sK14(X0,X1)) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f169,f274]) ).
fof(f274,plain,
! [X0,X1] :
( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v3_borsuk_1(sK14(X0,X1),X0,X1)
& m2_relset_1(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK14(X0,X1),X0,X1)
& v1_funct_1(sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ v2_tsp_2(X1,X0)
| ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_1(X2) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0) )
=> ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).
fof(f936,plain,
( ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| r1_borsuk_1(sK20,sK21)
| ~ m1_pre_topc(sK21,sK20)
| ~ l1_pre_topc(sK20)
| v3_struct_0(sK20) ),
inference(subsumption_resolution,[],[f935,f469]) ).
fof(f935,plain,
( v3_struct_0(sK21)
| ~ m1_pre_topc(sK21,sK20)
| r1_borsuk_1(sK20,sK21)
| ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| ~ l1_pre_topc(sK20)
| v3_struct_0(sK20) ),
inference(subsumption_resolution,[],[f934,f891]) ).
fof(f891,plain,
v3_borsuk_1(sK14(sK20,sK21),sK20,sK21),
inference(subsumption_resolution,[],[f890,f469]) ).
fof(f890,plain,
( v3_struct_0(sK21)
| v3_borsuk_1(sK14(sK20,sK21),sK20,sK21) ),
inference(subsumption_resolution,[],[f889,f473]) ).
fof(f889,plain,
( ~ v2_pre_topc(sK20)
| v3_struct_0(sK21)
| v3_borsuk_1(sK14(sK20,sK21),sK20,sK21) ),
inference(subsumption_resolution,[],[f888,f468]) ).
fof(f888,plain,
( ~ v2_tsp_2(sK21,sK20)
| ~ v2_pre_topc(sK20)
| v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
| v3_struct_0(sK21) ),
inference(subsumption_resolution,[],[f887,f472]) ).
fof(f887,plain,
( v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ v2_tsp_2(sK21,sK20)
| v3_struct_0(sK21) ),
inference(subsumption_resolution,[],[f880,f467]) ).
fof(f880,plain,
( ~ l1_pre_topc(sK20)
| v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
| v3_struct_0(sK21)
| ~ v2_tsp_2(sK21,sK20)
| ~ v2_pre_topc(sK20)
| v3_struct_0(sK20) ),
inference(resolution,[],[f403,f471]) ).
fof(f403,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| v3_borsuk_1(sK14(X0,X1),X0,X1)
| ~ v2_tsp_2(X1,X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f275]) ).
fof(f934,plain,
( ~ v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
| ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| ~ l1_pre_topc(sK20)
| v3_struct_0(sK21)
| ~ m1_pre_topc(sK21,sK20)
| v3_struct_0(sK20)
| r1_borsuk_1(sK20,sK21) ),
inference(subsumption_resolution,[],[f933,f868]) ).
fof(f868,plain,
v5_pre_topc(sK14(sK20,sK21),sK20,sK21),
inference(subsumption_resolution,[],[f867,f469]) ).
fof(f867,plain,
( v3_struct_0(sK21)
| v5_pre_topc(sK14(sK20,sK21),sK20,sK21) ),
inference(subsumption_resolution,[],[f866,f472]) ).
fof(f866,plain,
( v3_struct_0(sK20)
| v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
| v3_struct_0(sK21) ),
inference(subsumption_resolution,[],[f865,f467]) ).
fof(f865,plain,
( ~ l1_pre_topc(sK20)
| v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
| v3_struct_0(sK21)
| v3_struct_0(sK20) ),
inference(subsumption_resolution,[],[f864,f473]) ).
fof(f864,plain,
( ~ v2_pre_topc(sK20)
| v3_struct_0(sK21)
| v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
| ~ l1_pre_topc(sK20)
| v3_struct_0(sK20) ),
inference(subsumption_resolution,[],[f863,f471]) ).
fof(f863,plain,
( ~ m2_tsp_1(sK21,sK20)
| v3_struct_0(sK21)
| v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| v3_struct_0(sK20) ),
inference(resolution,[],[f400,f468]) ).
fof(f400,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,X0)
| v3_struct_0(X0)
| v5_pre_topc(sK14(X0,X1),X0,X1)
| ~ v2_pre_topc(X0)
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f933,plain,
( ~ v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
| ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| ~ v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
| r1_borsuk_1(sK20,sK21)
| ~ m1_pre_topc(sK21,sK20)
| v3_struct_0(sK21)
| v3_struct_0(sK20)
| ~ l1_pre_topc(sK20) ),
inference(subsumption_resolution,[],[f932,f473]) ).
fof(f932,plain,
( ~ v2_pre_topc(sK20)
| ~ m1_pre_topc(sK21,sK20)
| v3_struct_0(sK20)
| ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| r1_borsuk_1(sK20,sK21)
| v3_struct_0(sK21)
| ~ v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
| ~ l1_pre_topc(sK20)
| ~ v5_pre_topc(sK14(sK20,sK21),sK20,sK21) ),
inference(subsumption_resolution,[],[f931,f832]) ).
fof(f832,plain,
v1_funct_1(sK14(sK20,sK21)),
inference(subsumption_resolution,[],[f831,f472]) ).
fof(f831,plain,
( v3_struct_0(sK20)
| v1_funct_1(sK14(sK20,sK21)) ),
inference(subsumption_resolution,[],[f830,f473]) ).
fof(f830,plain,
( ~ v2_pre_topc(sK20)
| v1_funct_1(sK14(sK20,sK21))
| v3_struct_0(sK20) ),
inference(subsumption_resolution,[],[f829,f469]) ).
fof(f829,plain,
( v3_struct_0(sK21)
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| v1_funct_1(sK14(sK20,sK21)) ),
inference(subsumption_resolution,[],[f828,f467]) ).
fof(f828,plain,
( ~ l1_pre_topc(sK20)
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| v3_struct_0(sK21)
| v1_funct_1(sK14(sK20,sK21)) ),
inference(subsumption_resolution,[],[f827,f471]) ).
fof(f827,plain,
( ~ m2_tsp_1(sK21,sK20)
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20)
| v3_struct_0(sK21)
| v1_funct_1(sK14(sK20,sK21)) ),
inference(resolution,[],[f399,f468]) ).
fof(f399,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,X0)
| ~ l1_pre_topc(X0)
| v1_funct_1(sK14(X0,X1))
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f275]) ).
fof(f931,plain,
( ~ v1_funct_1(sK14(sK20,sK21))
| ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| v3_struct_0(sK20)
| ~ v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
| v3_struct_0(sK21)
| r1_borsuk_1(sK20,sK21)
| ~ v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
| ~ l1_pre_topc(sK20)
| ~ m1_pre_topc(sK21,sK20)
| ~ v2_pre_topc(sK20) ),
inference(resolution,[],[f909,f416]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_borsuk_1(X2,X0,X1)
| v3_struct_0(X1)
| ~ v5_pre_topc(X2,X0,X1)
| r1_borsuk_1(X0,X1)
| ~ m1_pre_topc(X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ( ( r1_borsuk_1(X0,X1)
| ! [X2] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v5_pre_topc(X2,X0,X1)
| ~ v3_borsuk_1(X2,X0,X1) ) )
& ( ( v1_funct_2(sK15(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(sK15(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK15(X0,X1))
& v5_pre_topc(sK15(X0,X1),X0,X1)
& v3_borsuk_1(sK15(X0,X1),X0,X1) )
| ~ r1_borsuk_1(X0,X1) ) ) )
| ~ v2_pre_topc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f278,f279]) ).
fof(f279,plain,
! [X0,X1] :
( ? [X3] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3)
& v5_pre_topc(X3,X0,X1)
& v3_borsuk_1(X3,X0,X1) )
=> ( v1_funct_2(sK15(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(sK15(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK15(X0,X1))
& v5_pre_topc(sK15(X0,X1),X0,X1)
& v3_borsuk_1(sK15(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ( ( r1_borsuk_1(X0,X1)
| ! [X2] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v5_pre_topc(X2,X0,X1)
| ~ v3_borsuk_1(X2,X0,X1) ) )
& ( ? [X3] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3)
& v5_pre_topc(X3,X0,X1)
& v3_borsuk_1(X3,X0,X1) )
| ~ r1_borsuk_1(X0,X1) ) ) )
| ~ v2_pre_topc(X0) ),
inference(rectify,[],[f277]) ).
fof(f277,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ( ( r1_borsuk_1(X0,X1)
| ! [X2] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v5_pre_topc(X2,X0,X1)
| ~ v3_borsuk_1(X2,X0,X1) ) )
& ( ? [X2] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v5_pre_topc(X2,X0,X1)
& v3_borsuk_1(X2,X0,X1) )
| ~ r1_borsuk_1(X0,X1) ) ) )
| ~ v2_pre_topc(X0) ),
inference(nnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v5_pre_topc(X2,X0,X1)
& v3_borsuk_1(X2,X0,X1) ) ) )
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v5_pre_topc(X2,X0,X1)
& v3_borsuk_1(X2,X0,X1) ) )
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& m1_pre_topc(X1,X0) )
=> ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v5_pre_topc(X2,X0,X1)
& v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_borsuk_1) ).
fof(f909,plain,
m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21)),
inference(subsumption_resolution,[],[f908,f467]) ).
fof(f908,plain,
( m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| ~ l1_pre_topc(sK20) ),
inference(subsumption_resolution,[],[f907,f472]) ).
fof(f907,plain,
( m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| v3_struct_0(sK20)
| ~ l1_pre_topc(sK20) ),
inference(subsumption_resolution,[],[f906,f471]) ).
fof(f906,plain,
( ~ m2_tsp_1(sK21,sK20)
| ~ l1_pre_topc(sK20)
| v3_struct_0(sK20)
| m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21)) ),
inference(subsumption_resolution,[],[f905,f469]) ).
fof(f905,plain,
( v3_struct_0(sK21)
| ~ m2_tsp_1(sK21,sK20)
| ~ l1_pre_topc(sK20)
| m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| v3_struct_0(sK20) ),
inference(subsumption_resolution,[],[f904,f473]) ).
fof(f904,plain,
( m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20)
| v3_struct_0(sK21)
| v3_struct_0(sK20)
| ~ m2_tsp_1(sK21,sK20) ),
inference(resolution,[],[f402,f468]) ).
fof(f402,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,X0)
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| m2_relset_1(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % 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 : n011.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 14:34:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (4010)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)
% 0.20/0.49 % (4012)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)
% 0.20/0.50 % (4015)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)
% 0.20/0.50 % (4023)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)
% 0.20/0.50 % (4010)Refutation not found, incomplete strategy% (4010)------------------------------
% 0.20/0.50 % (4010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (4026)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (4036)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)
% 0.20/0.51 % (4018)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)
% 0.20/0.51 % (4031)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)
% 0.20/0.51 % (4028)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [1]
% 0.20/0.52 % (4020)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)
% 0.20/0.52 % (4013)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (4010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (4010)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (4010)Memory used [KB]: 5756
% 0.20/0.52 % (4010)Time elapsed: 0.104 s
% 0.20/0.52 % (4010)Instructions burned: 13 (million)
% 0.20/0.52 % (4010)------------------------------
% 0.20/0.52 % (4010)------------------------------
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (4009)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)
% 0.20/0.52 % (4032)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)
% 0.20/0.52 TRYING [3]
% 0.20/0.53 % (4014)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 % (4035)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)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (4011)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)
% 0.20/0.53 % (4022)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (4037)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (4034)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 % (4033)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (4025)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)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (4029)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (4024)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)
% 0.20/0.54 % (4027)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (4038)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (4017)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (4017)Instruction limit reached!
% 0.20/0.54 % (4017)------------------------------
% 0.20/0.54 % (4017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (4017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (4017)Termination reason: Unknown
% 0.20/0.54 % (4017)Termination phase: Preprocessing 2
% 0.20/0.54
% 0.20/0.54 % (4017)Memory used [KB]: 1023
% 0.20/0.54 % (4017)Time elapsed: 0.002 s
% 0.20/0.54 % (4017)Instructions burned: 2 (million)
% 0.20/0.54 % (4017)------------------------------
% 0.20/0.54 % (4017)------------------------------
% 0.20/0.54 % (4021)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (4019)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (4016)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (4030)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 TRYING [4]
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (4013)First to succeed.
% 0.20/0.55 TRYING [3]
% 0.20/0.56 % (4013)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (4013)------------------------------
% 0.20/0.56 % (4013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (4013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (4013)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (4013)Memory used [KB]: 6012
% 0.20/0.56 % (4013)Time elapsed: 0.141 s
% 0.20/0.56 % (4013)Instructions burned: 16 (million)
% 0.20/0.56 % (4013)------------------------------
% 0.20/0.56 % (4013)------------------------------
% 0.20/0.56 % (4008)Success in time 0.204 s
%------------------------------------------------------------------------------