%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TOP034+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:55:25 PM UTC 2026
% Result : Theorem 1.83s 1.17s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 62 ( 16 unt; 0 def)
% Number of atoms : 387 ( 15 equ)
% Maximal formula atoms : 17 ( 6 avg)
% Number of connectives : 519 ( 194 ~; 234 |; 77 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 90 ( 0 sgn 78 !; 12 ?; 30 :)
% 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/sandbox2/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,[status(cth)],[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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t22_tsp_2) ).
fof(f127,plain,
? [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(ennf_transformation,[],[f2]) ).
fof(f128,plain,
? [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(flattening,[],[f127]) ).
fof(f190,plain,
! [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) ) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f191,plain,
! [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) ) ) ) ),
inference(flattening,[],[f190]) ).
fof(f218,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f220,plain,
! [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) ) ) ),
inference(ennf_transformation,[],[f89]) ).
fof(f221,plain,
! [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) ) ) ),
inference(flattening,[],[f220]) ).
fof(f235,plain,
( l1_pre_topc(sK2)
& v2_pre_topc(sK2)
& ~ v3_struct_0(sK2)
& m2_tsp_1(sK3,sK2)
& v2_tsp_2(sK3,sK2)
& ~ v3_struct_0(sK3)
& ~ r1_borsuk_1(sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f128]) ).
fof(f238,plain,
! [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) ) )
& ( ! [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) ) ) ) ),
inference(nnf_transformation,[],[f191]) ).
fof(f239,plain,
! [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)
| ? [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) ) )
& ( ! [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) ) ) ) ),
inference(rectify,[],[f238]) ).
fof(f240,plain,
! [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)
| ( 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)) ) )
& ( ! [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) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1))],[f239]) ).
fof(f262,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) )
& ( ~ m1_pre_topc(X1,X0)
| m2_tsp_1(X1,X0) ) ) ),
inference(nnf_transformation,[],[f218]) ).
fof(f263,plain,
! [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)
| ( 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)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X2,sK24(X0,X1))],[f221]) ).
fof(f264,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f235]) ).
fof(f265,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f235]) ).
fof(f266,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f235]) ).
fof(f267,plain,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f235]) ).
fof(f268,plain,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f235]) ).
fof(f269,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f235]) ).
fof(f270,plain,
~ r1_borsuk_1(sK2,sK3),
inference(cnf_transformation,[],[f235]) ).
fof(f376,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(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)
| r1_borsuk_1(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f447,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f451,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| v3_borsuk_1(sK24(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f263]) ).
fof(f452,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| m2_relset_1(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f263]) ).
fof(f453,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| v5_pre_topc(sK24(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f263]) ).
fof(f454,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| v1_funct_2(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f263]) ).
fof(f455,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| v1_funct_1(sK24(X0,X1)) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_49,negated_conjecture,
~ r1_borsuk_1(sK2,sK3),
inference(cnf_transformation,[],[f270]) ).
tcf(c_50,negated_conjecture,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f269]) ).
tcf(c_51,negated_conjecture,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f268]) ).
tcf(c_52,negated_conjecture,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f267]) ).
tcf(c_53,negated_conjecture,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f266]) ).
tcf(c_54,negated_conjecture,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f265]) ).
tcf(c_55,negated_conjecture,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f264]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| r1_borsuk_1(X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X2,X1)
| ~ v3_borsuk_1(X0,X1,X2)
| ~ v5_pre_topc(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] :
( m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(sK24(X1,X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_2(sK24(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v5_pre_topc(sK24(X1,X0),X1,X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f453]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m2_relset_1(sK24(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f452]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v3_borsuk_1(sK24(X1,X0),X1,X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f451]) ).
tcf(c_2689,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v3_borsuk_1(sK24(X0,X1),X0,X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_208]) ).
tcf(c_2690,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v3_borsuk_1(sK24(sK2,sK3),sK2,sK3)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m2_tsp_1(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_2689]) ).
tcf(c_2696,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m2_relset_1(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_207]) ).
tcf(c_2697,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| m2_relset_1(sK24(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m2_tsp_1(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_2696]) ).
tcf(c_2703,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v5_pre_topc(sK24(X0,X1),X0,X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_206]) ).
tcf(c_2704,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v5_pre_topc(sK24(sK2,sK3),sK2,sK3)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m2_tsp_1(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_2703]) ).
tcf(c_2705,plain,
v5_pre_topc(sK24(sK2,sK3),sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_2704,c_55,c_54,c_53,c_52,c_50,c_2704]) ).
tcf(c_2710,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_2(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_205]) ).
tcf(c_2711,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v1_funct_2(sK24(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m2_tsp_1(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_2710]) ).
tcf(c_2717,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(sK24(X0,X1))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_204]) ).
tcf(c_2718,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v1_funct_1(sK24(sK2,sK3))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m2_tsp_1(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_2717]) ).
tcf(c_2733,plain,
! [X0: $i,X1: $i] :
( m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_201]) ).
tcf(c_2734,plain,
( m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_2733]) ).
tcf(c_2961,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| r1_borsuk_1(X1,X2)
| ~ v1_funct_1(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X2,X1)
| ~ v3_borsuk_1(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ( X2 != sK3 )
| ( X1 != sK2 )
| ( sK24(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_124,c_2705]) ).
tcf(c_2962,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| r1_borsuk_1(sK2,sK3)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_pre_topc(sK3,sK2)
| ~ v1_funct_1(sK24(sK2,sK3))
| ~ v3_borsuk_1(sK24(sK2,sK3),sK2,sK3)
| ~ 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)) ),
inference(unflattening,[status(thm)],[c_2961]) ).
tcf(c_2963,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2962,c_2734,c_2718,c_2711,c_2697,c_2690,c_49,c_50,c_52,c_53,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP034+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 04:13:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.83/1.17 % SZS status Started for theBenchmark.p
% 1.83/1.17 % SZS status Theorem for theBenchmark.p
% 1.83/1.17
% 1.83/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.83/1.17
% 1.83/1.17 % ------ iProver source info
% 1.83/1.17
% 1.83/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.83/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.83/1.17 % git: non_committed_changes: false
% 1.83/1.17
% 1.83/1.17 % ------ Parsing...
% 1.83/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.83/1.17
% 1.83/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 66 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 1.83/1.17
% 1.83/1.17 % SZS status Theorem for theBenchmark.p
% 1.83/1.17
% 1.83/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.83/1.17
% 1.83/1.17
%------------------------------------------------------------------------------