TSTP Solution File: TOP034+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : TOP034+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 : Mon Jun 24 21:16:28 EDT 2024
% Result : Theorem 1.31s 1.19s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 66 ( 16 unt; 0 def)
% Number of atoms : 429 ( 15 equ)
% Maximal formula atoms : 17 ( 6 avg)
% Number of connectives : 567 ( 204 ~; 234 |; 111 &)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 52 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [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) )
=> r1_borsuk_1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [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) )
=> r1_borsuk_1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f50,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_pre_topc(X1,X0)
& ~ v3_struct_0(X1) )
=> ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_borsuk_1) ).
fof(f86,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
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)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).
fof(f127,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(X0,X1)
& 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,[],[f2]) ).
fof(f128,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(X0,X1)
& 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(flattening,[],[f127]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f190]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,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(f221,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,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(flattening,[],[f220]) ).
fof(f235,plain,
( ? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(X0,X1)
& 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) )
=> ( ? [X1] :
( ~ r1_borsuk_1(sK2,X1)
& m2_tsp_1(X1,sK2)
& v2_tsp_2(X1,sK2)
& ~ v3_struct_0(X1) )
& l1_pre_topc(sK2)
& v2_pre_topc(sK2)
& ~ v3_struct_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
( ? [X1] :
( ~ r1_borsuk_1(sK2,X1)
& m2_tsp_1(X1,sK2)
& v2_tsp_2(X1,sK2)
& ~ v3_struct_0(X1) )
=> ( ~ r1_borsuk_1(sK2,sK3)
& m2_tsp_1(sK3,sK2)
& v2_tsp_2(sK3,sK2)
& ~ v3_struct_0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f237,plain,
( ~ r1_borsuk_1(sK2,sK3)
& m2_tsp_1(sK3,sK2)
& v2_tsp_2(sK3,sK2)
& ~ v3_struct_0(sK3)
& l1_pre_topc(sK2)
& v2_pre_topc(sK2)
& ~ v3_struct_0(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f128,f236,f235]) ).
fof(f239,plain,
! [X0] :
( ! [X1] :
( ( ( r1_borsuk_1(X0,X1)
| ! [X2] :
( ~ v3_borsuk_1(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) ) )
& ( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ r1_borsuk_1(X0,X1) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f191]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( ( ( r1_borsuk_1(X0,X1)
| ! [X2] :
( ~ v3_borsuk_1(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) ) )
& ( ? [X3] :
( v3_borsuk_1(X3,X0,X1)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
| ~ r1_borsuk_1(X0,X1) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f239]) ).
fof(f241,plain,
! [X0,X1] :
( ? [X3] :
( v3_borsuk_1(X3,X0,X1)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ( v3_borsuk_1(sK4(X0,X1),X0,X1)
& m2_relset_1(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK4(X0,X1),X0,X1)
& v1_funct_2(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( ( ( r1_borsuk_1(X0,X1)
| ! [X2] :
( ~ v3_borsuk_1(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) ) )
& ( ( v3_borsuk_1(sK4(X0,X1),X0,X1)
& m2_relset_1(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK4(X0,X1),X0,X1)
& v1_funct_2(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK4(X0,X1)) )
| ~ r1_borsuk_1(X0,X1) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f240,f241]) ).
fof(f283,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f218]) ).
fof(f284,plain,
! [X0,X1] :
( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v3_borsuk_1(sK24(X0,X1),X0,X1)
& m2_relset_1(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK24(X0,X1),X0,X1)
& v1_funct_2(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK24(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f285,plain,
! [X0] :
( ! [X1] :
( ( v3_borsuk_1(sK24(X0,X1),X0,X1)
& m2_relset_1(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK24(X0,X1),X0,X1)
& v1_funct_2(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK24(X0,X1)) )
| ~ 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(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f221,f284]) ).
fof(f286,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f237]) ).
fof(f287,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f237]) ).
fof(f288,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f237]) ).
fof(f289,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f237]) ).
fof(f290,plain,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f237]) ).
fof(f291,plain,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f237]) ).
fof(f292,plain,
~ r1_borsuk_1(sK2,sK3),
inference(cnf_transformation,[],[f237]) ).
fof(f398,plain,
! [X2,X0,X1] :
( r1_borsuk_1(X0,X1)
| ~ v3_borsuk_1(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f469,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f473,plain,
! [X0,X1] :
( v1_funct_1(sK24(X0,X1))
| ~ 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(cnf_transformation,[],[f285]) ).
fof(f474,plain,
! [X0,X1] :
( v1_funct_2(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ 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(cnf_transformation,[],[f285]) ).
fof(f475,plain,
! [X0,X1] :
( v5_pre_topc(sK24(X0,X1),X0,X1)
| ~ 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(cnf_transformation,[],[f285]) ).
fof(f476,plain,
! [X0,X1] :
( m2_relset_1(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ 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(cnf_transformation,[],[f285]) ).
fof(f477,plain,
! [X0,X1] :
( v3_borsuk_1(sK24(X0,X1),X0,X1)
| ~ 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(cnf_transformation,[],[f285]) ).
cnf(c_49,negated_conjecture,
~ r1_borsuk_1(sK2,sK3),
inference(cnf_transformation,[],[f292]) ).
cnf(c_50,negated_conjecture,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f291]) ).
cnf(c_51,negated_conjecture,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f290]) ).
cnf(c_52,negated_conjecture,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f289]) ).
cnf(c_53,negated_conjecture,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f288]) ).
cnf(c_54,negated_conjecture,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f287]) ).
cnf(c_55,negated_conjecture,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f286]) ).
cnf(c_124,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v3_borsuk_1(X0,X1,X2)
| ~ v5_pre_topc(X0,X1,X2)
| ~ m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_1(X0)
| r1_borsuk_1(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_201,plain,
( ~ m2_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f469]) ).
cnf(c_204,plain,
( ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_borsuk_1(sK24(X1,X0),X1,X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f477]) ).
cnf(c_205,plain,
( ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| m2_relset_1(sK24(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f476]) ).
cnf(c_206,plain,
( ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v5_pre_topc(sK24(X1,X0),X1,X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f475]) ).
cnf(c_207,plain,
( ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v1_funct_2(sK24(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f474]) ).
cnf(c_208,plain,
( ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v1_funct_1(sK24(X1,X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_2698,plain,
( X0 != sK2
| X1 != sK3
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_funct_1(sK24(X0,X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_208]) ).
cnf(c_2699,plain,
( ~ m2_tsp_1(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| v1_funct_1(sK24(sK2,sK3))
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_2698]) ).
cnf(c_2705,plain,
( X0 != sK2
| X1 != sK3
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_funct_2(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_207]) ).
cnf(c_2706,plain,
( ~ m2_tsp_1(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| v1_funct_2(sK24(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_2705]) ).
cnf(c_2712,plain,
( X0 != sK2
| X1 != sK3
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v5_pre_topc(sK24(X0,X1),X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_206]) ).
cnf(c_2713,plain,
( ~ m2_tsp_1(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| v5_pre_topc(sK24(sK2,sK3),sK2,sK3)
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_2712]) ).
cnf(c_2719,plain,
( X0 != sK2
| X1 != sK3
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m2_relset_1(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_205]) ).
cnf(c_2720,plain,
( ~ m2_tsp_1(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| m2_relset_1(sK24(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_2719]) ).
cnf(c_2726,plain,
( X0 != sK2
| X1 != sK3
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_borsuk_1(sK24(X0,X1),X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_204]) ).
cnf(c_2727,plain,
( ~ m2_tsp_1(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| v3_borsuk_1(sK24(sK2,sK3),sK2,sK3)
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_2726]) ).
cnf(c_2728,plain,
v3_borsuk_1(sK24(sK2,sK3),sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_2727,c_54,c_53,c_55,c_52,c_50,c_2727]) ).
cnf(c_2742,plain,
( X0 != sK2
| X1 != sK3
| ~ l1_pre_topc(X0)
| m1_pre_topc(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_201]) ).
cnf(c_2743,plain,
( ~ l1_pre_topc(sK2)
| m1_pre_topc(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_2742]) ).
cnf(c_2782,plain,
( sK24(sK2,sK3) != X0
| X1 != sK2
| X2 != sK3
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(X0,X1,X2)
| ~ m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_1(X0)
| r1_borsuk_1(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_124,c_2728]) ).
cnf(c_2783,plain,
( ~ m2_relset_1(sK24(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK24(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v5_pre_topc(sK24(sK2,sK3),sK2,sK3)
| ~ v1_funct_1(sK24(sK2,sK3))
| ~ m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| r1_borsuk_1(sK2,sK3)
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_2782]) ).
cnf(c_2784,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2783,c_2743,c_2720,c_2713,c_2706,c_2699,c_49,c_50,c_52,c_55,c_53,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP034+1 : TPTP v8.2.0. Released v3.4.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jun 18 11:07:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.31/1.19 % SZS status Started for theBenchmark.p
% 1.31/1.19 % SZS status Theorem for theBenchmark.p
% 1.31/1.19
% 1.31/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.31/1.19
% 1.31/1.19 ------ iProver source info
% 1.31/1.19
% 1.31/1.19 git: date: 2024-06-12 09:56:46 +0000
% 1.31/1.19 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.31/1.19 git: non_committed_changes: false
% 1.31/1.19
% 1.31/1.19 ------ Parsing...
% 1.31/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.31/1.19
% 1.31/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 66 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s
% 1.31/1.19
% 1.31/1.19 % SZS status Theorem for theBenchmark.p
% 1.31/1.19
% 1.31/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.31/1.19
% 1.44/1.19
%------------------------------------------------------------------------------