TSTP Solution File: TOP035+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : TOP035+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_uns --cores 0 -t %d %s
% Computer : n007.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 19:52:47 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 20 unt; 0 def)
% Number of atoms : 347 ( 44 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 456 ( 161 ~; 150 |; 113 &)
% ( 5 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 97 ( 73 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,plain,
$false,
inference(subsumption_resolution,[],[f202,f203]) ).
fof(f203,plain,
~ v3_borsuk_1(k1_tsp_2(sK1,sK2),sK1,sK2),
inference(unit_resulting_resolution,[],[f169,f168,f171,f170,f163,f162,f181,f164,f189,f191,f192,f182,f193,f180]) ).
fof(f180,plain,
! [X2,X0,X1,X4] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v5_pre_topc(X2,X0,X1)
| ~ v2_tsp_2(X1,X0)
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X1,X0)
| k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X4))
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v3_borsuk_1(X2,X0,X1)
| v3_struct_0(X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f176]) ).
fof(f176,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1))
| k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3))
| ~ 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)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ! [X2] :
( ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1))
| k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) ) )
| ~ 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) ) )
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3))
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(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))
| ~ v5_pre_topc(X2,X0,X1) )
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(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))
& v5_pre_topc(X2,X0,X1) )
=> ( v3_borsuk_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( X3 = X4
=> k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l33_tsp_2) ).
fof(f193,plain,
m2_relset_1(k1_tsp_2(sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK2)),
inference(unit_resulting_resolution,[],[f168,f169,f171,f170,f163,f185,f160]) ).
fof(f160,plain,
! [X0,X1] :
( m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_tsp_2(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( v3_struct_0(X1)
| ( v1_funct_2(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
& v5_pre_topc(k1_tsp_2(X1,X0),X1,X0)
& v1_funct_1(k1_tsp_2(X1,X0)) )
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ( v1_funct_2(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
& v5_pre_topc(k1_tsp_2(X1,X0),X1,X0)
& v1_funct_1(k1_tsp_2(X1,X0)) )
| ~ v2_pre_topc(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( v2_pre_topc(X1)
& ~ v3_struct_0(X1)
& ~ v3_struct_0(X0)
& v2_tsp_2(X0,X1)
& m1_pre_topc(X0,X1)
& l1_pre_topc(X1) )
=> ( v1_funct_2(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
& v5_pre_topc(k1_tsp_2(X1,X0),X1,X0)
& v1_funct_1(k1_tsp_2(X1,X0)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X1,X0] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0)
& ~ v3_struct_0(X0)
& l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ( v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
fof(f185,plain,
m1_pre_topc(sK2,sK1),
inference(unit_resulting_resolution,[],[f169,f162,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,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,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( m1_pre_topc(X1,X0)
<=> m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,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(f182,plain,
k6_pre_topc(sK1,k1_struct_0(sK1,sK3)) != k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,sK3))),
inference(forward_demodulation,[],[f165,f166]) ).
fof(f166,plain,
sK3 = sK4,
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ~ v3_struct_0(sK1)
& v2_pre_topc(sK1)
& l1_pre_topc(sK1)
& ~ v3_struct_0(sK2)
& m1_subset_1(sK4,u1_struct_0(sK2))
& sK3 = sK4
& k6_pre_topc(sK1,k1_struct_0(sK1,sK3)) != k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,sK4)))
& m1_subset_1(sK3,u1_struct_0(sK1))
& v2_tsp_2(sK2,sK1)
& m2_tsp_1(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f132,f147,f146,f145,f144]) ).
fof(f144,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ? [X1] :
( ~ v3_struct_0(X1)
& ? [X2] :
( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X2 = X3
& k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(X0,k1_struct_0(X0,X2)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) ) )
=> ( ~ v3_struct_0(sK1)
& v2_pre_topc(sK1)
& l1_pre_topc(sK1)
& ? [X1] :
( ~ v3_struct_0(X1)
& ? [X2] :
( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X2 = X3
& k6_pre_topc(sK1,k1_struct_0(sK1,X2)) != k5_pre_topc(sK1,X1,k1_tsp_2(sK1,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) )
& m1_subset_1(X2,u1_struct_0(sK1)) )
& v2_tsp_2(X1,sK1)
& m2_tsp_1(X1,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X1] :
( ~ v3_struct_0(X1)
& ? [X2] :
( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X2 = X3
& k6_pre_topc(sK1,k1_struct_0(sK1,X2)) != k5_pre_topc(sK1,X1,k1_tsp_2(sK1,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) )
& m1_subset_1(X2,u1_struct_0(sK1)) )
& v2_tsp_2(X1,sK1)
& m2_tsp_1(X1,sK1) )
=> ( ~ v3_struct_0(sK2)
& ? [X2] :
( ? [X3] :
( m1_subset_1(X3,u1_struct_0(sK2))
& X2 = X3
& k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,X3))) != k6_pre_topc(sK1,k1_struct_0(sK1,X2)) )
& m1_subset_1(X2,u1_struct_0(sK1)) )
& v2_tsp_2(sK2,sK1)
& m2_tsp_1(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ? [X2] :
( ? [X3] :
( m1_subset_1(X3,u1_struct_0(sK2))
& X2 = X3
& k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,X3))) != k6_pre_topc(sK1,k1_struct_0(sK1,X2)) )
& m1_subset_1(X2,u1_struct_0(sK1)) )
=> ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(sK2))
& sK3 = X3
& k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,X3))) != k6_pre_topc(sK1,k1_struct_0(sK1,sK3)) )
& m1_subset_1(sK3,u1_struct_0(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
( ? [X3] :
( m1_subset_1(X3,u1_struct_0(sK2))
& sK3 = X3
& k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,X3))) != k6_pre_topc(sK1,k1_struct_0(sK1,sK3)) )
=> ( m1_subset_1(sK4,u1_struct_0(sK2))
& sK3 = sK4
& k6_pre_topc(sK1,k1_struct_0(sK1,sK3)) != k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,sK4))) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
? [X0] :
( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ? [X1] :
( ~ v3_struct_0(X1)
& ? [X2] :
( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& X2 = X3
& k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(X0,k1_struct_0(X0,X2)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(X0,k1_struct_0(X0,X2))
& X2 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m2_tsp_1(X1,X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0) )
& l1_pre_topc(X0)
& ~ v3_struct_0(X0)
& v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& ~ v3_struct_0(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v3_struct_0(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_tsp_2) ).
fof(f165,plain,
k6_pre_topc(sK1,k1_struct_0(sK1,sK3)) != k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,sK4))),
inference(cnf_transformation,[],[f148]) ).
fof(f192,plain,
v1_funct_2(k1_tsp_2(sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK2)),
inference(unit_resulting_resolution,[],[f170,f169,f171,f168,f163,f185,f161]) ).
fof(f161,plain,
! [X0,X1] :
( v1_funct_2(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f191,plain,
v5_pre_topc(k1_tsp_2(sK1,sK2),sK1,sK2),
inference(unit_resulting_resolution,[],[f170,f171,f169,f168,f163,f185,f159]) ).
fof(f159,plain,
! [X0,X1] :
( v5_pre_topc(k1_tsp_2(X1,X0),X1,X0)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f189,plain,
v1_funct_1(k1_tsp_2(sK1,sK2)),
inference(unit_resulting_resolution,[],[f170,f168,f171,f169,f163,f185,f158]) ).
fof(f158,plain,
! [X0,X1] :
( v1_funct_1(k1_tsp_2(X1,X0))
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f164,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f148]) ).
fof(f181,plain,
m1_subset_1(sK3,u1_struct_0(sK2)),
inference(backward_demodulation,[],[f167,f166]) ).
fof(f167,plain,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f148]) ).
fof(f162,plain,
m2_tsp_1(sK2,sK1),
inference(cnf_transformation,[],[f148]) ).
fof(f163,plain,
v2_tsp_2(sK2,sK1),
inference(cnf_transformation,[],[f148]) ).
fof(f170,plain,
v2_pre_topc(sK1),
inference(cnf_transformation,[],[f148]) ).
fof(f171,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f148]) ).
fof(f168,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f148]) ).
fof(f169,plain,
l1_pre_topc(sK1),
inference(cnf_transformation,[],[f148]) ).
fof(f202,plain,
v3_borsuk_1(k1_tsp_2(sK1,sK2),sK1,sK2),
inference(unit_resulting_resolution,[],[f168,f170,f171,f169,f162,f163,f189,f191,f192,f193,f179]) ).
fof(f179,plain,
! [X0,X1] :
( ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v2_pre_topc(X0)
| v3_struct_0(X1)
| v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ v2_tsp_2(X1,X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_tsp_1(X1,X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f155,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_borsuk_1(X2,X0,X1)
| k1_tsp_2(X0,X1) != X2
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ! [X2] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( ( v3_borsuk_1(X2,X0,X1)
| k1_tsp_2(X0,X1) != X2 )
& ( k1_tsp_2(X0,X1) = X2
| ~ v3_borsuk_1(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1) ) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ! [X2] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( v3_borsuk_1(X2,X0,X1)
<=> k1_tsp_2(X0,X1) = X2 )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1) ) ) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v3_borsuk_1(X2,X0,X1)
<=> k1_tsp_2(X0,X1) = X2 )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1) )
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v3_struct_0(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( ( v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1) )
=> ( v3_borsuk_1(X2,X0,X1)
<=> k1_tsp_2(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_tsp_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP035+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_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 14:23:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (9725)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51 % (9716)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.51 % (9705)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (9708)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52 % (9699)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (9708)Instruction limit reached!
% 0.20/0.52 % (9708)------------------------------
% 0.20/0.52 % (9708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9714)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (9707)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (9701)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52 % (9725)Instruction limit reached!
% 0.20/0.52 % (9725)------------------------------
% 0.20/0.52 % (9725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9706)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52 % (9725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9725)Termination reason: Unknown
% 0.20/0.52 % (9725)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (9725)Memory used [KB]: 1663
% 0.20/0.52 % (9725)Time elapsed: 0.006 s
% 0.20/0.52 % (9725)Instructions burned: 9 (million)
% 0.20/0.52 % (9725)------------------------------
% 0.20/0.52 % (9725)------------------------------
% 0.20/0.53 % (9715)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.53 % (9702)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (9708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9708)Termination reason: Unknown
% 0.20/0.53 % (9708)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (9708)Memory used [KB]: 1918
% 0.20/0.53 % (9708)Time elapsed: 0.118 s
% 0.20/0.53 % (9708)Instructions burned: 16 (million)
% 0.20/0.53 % (9708)------------------------------
% 0.20/0.53 % (9708)------------------------------
% 0.20/0.53 % (9696)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (9699)First to succeed.
% 0.20/0.53 % (9723)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (9704)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (9717)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (9722)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.53 % (9699)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (9699)------------------------------
% 0.20/0.53 % (9699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9699)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (9699)Memory used [KB]: 6268
% 0.20/0.53 % (9699)Time elapsed: 0.124 s
% 0.20/0.53 % (9699)Instructions burned: 7 (million)
% 0.20/0.53 % (9699)------------------------------
% 0.20/0.53 % (9699)------------------------------
% 0.20/0.53 % (9690)Success in time 0.177 s
%------------------------------------------------------------------------------