TSTP Solution File: TOP034+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n023.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 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 193 ( 63 ~; 65 |; 51 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 35 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f311,plain,
$false,
inference(unit_resulting_resolution,[],[f159,f157,f161,f160,f172,f156,f166,f170,f169,f167,f168,f149]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_borsuk_1(X2,X0,X1)
| r1_borsuk_1(X0,X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| ( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& v1_funct_1(X2)
& 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) )
<=> r1_borsuk_1(X0,X1) )
| v3_struct_0(X1) ) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [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))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1) )
<=> r1_borsuk_1(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) )
=> ( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& v1_funct_1(X2)
& 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) )
<=> r1_borsuk_1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d20_borsuk_1) ).
fof(f168,plain,
m2_relset_1(sK0(sK9,sK10),u1_struct_0(sK9),u1_struct_0(sK10)),
inference(unit_resulting_resolution,[],[f157,f161,f159,f160,f155,f158,f130]) ).
fof(f130,plain,
! [X0,X1] :
( m2_relset_1(sK0(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& v5_pre_topc(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))
& v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& v5_pre_topc(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))
& v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ 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)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& v5_pre_topc(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))
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_tsp_2) ).
fof(f158,plain,
m2_tsp_1(sK10,sK9),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
? [X0] :
( ? [X1] :
( m2_tsp_1(X1,X0)
& ~ v3_struct_0(X1)
& ~ r1_borsuk_1(X0,X1)
& v2_tsp_2(X1,X0) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(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,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [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) )
=> r1_borsuk_1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [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) )
=> r1_borsuk_1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_tsp_2) ).
fof(f155,plain,
v2_tsp_2(sK10,sK9),
inference(cnf_transformation,[],[f111]) ).
fof(f167,plain,
v1_funct_2(sK0(sK9,sK10),u1_struct_0(sK9),u1_struct_0(sK10)),
inference(unit_resulting_resolution,[],[f160,f161,f157,f159,f155,f158,f129]) ).
fof(f129,plain,
! [X0,X1] :
( v1_funct_2(sK0(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f169,plain,
v5_pre_topc(sK0(sK9,sK10),sK9,sK10),
inference(unit_resulting_resolution,[],[f160,f157,f161,f159,f155,f158,f131]) ).
fof(f131,plain,
! [X0,X1] :
( v5_pre_topc(sK0(X0,X1),X0,X1)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X1)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f170,plain,
v3_borsuk_1(sK0(sK9,sK10),sK9,sK10),
inference(unit_resulting_resolution,[],[f157,f161,f159,f160,f155,f158,f132]) ).
fof(f132,plain,
! [X0,X1] :
( v3_borsuk_1(sK0(X0,X1),X0,X1)
| ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f166,plain,
v1_funct_1(sK0(sK9,sK10)),
inference(unit_resulting_resolution,[],[f157,f160,f161,f159,f155,f158,f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X0)
| v1_funct_1(sK0(X0,X1))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f156,plain,
~ r1_borsuk_1(sK9,sK10),
inference(cnf_transformation,[],[f111]) ).
fof(f172,plain,
m1_pre_topc(sK10,sK9),
inference(unit_resulting_resolution,[],[f161,f158,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f160,plain,
v2_pre_topc(sK9),
inference(cnf_transformation,[],[f111]) ).
fof(f161,plain,
l1_pre_topc(sK9),
inference(cnf_transformation,[],[f111]) ).
fof(f157,plain,
~ v3_struct_0(sK10),
inference(cnf_transformation,[],[f111]) ).
fof(f159,plain,
~ v3_struct_0(sK9),
inference(cnf_transformation,[],[f111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 14:58:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % (25305)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)
% 0.19/0.46 % (25292)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)
% 0.19/0.47 % (25292)First to succeed.
% 0.19/0.48 % (25292)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (25292)------------------------------
% 0.19/0.48 % (25292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (25292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (25292)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (25292)Memory used [KB]: 6140
% 0.19/0.48 % (25292)Time elapsed: 0.015 s
% 0.19/0.48 % (25292)Instructions burned: 8 (million)
% 0.19/0.48 % (25292)------------------------------
% 0.19/0.48 % (25292)------------------------------
% 0.19/0.48 % (25283)Success in time 0.134 s
%------------------------------------------------------------------------------