%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : TOP034+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 : Sun Sep 27 09:53:01 AM UTC 2026
% Result : Theorem 0.13s 5.46s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 67 ( 14 unt; 0 def)
% Number of atoms : 380 ( 0 equ)
% Maximal formula atoms : 35 ( 5 avg)
% Number of connectives : 519 ( 206 ~; 255 |; 47 &)
% ( 2 <=>; 9 =>; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 24 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d20_borsuk_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_pre_topc(B,A)
& ~ v3_struct_0(B) )
=> ( r1_borsuk_1(A,B)
<=> ? [C] :
( v3_borsuk_1(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ) ),
file('theBenchmark.p',d20_borsuk_1) ).
fof(redefinition_m2_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m2_tsp_1(B,A)
<=> m1_pre_topc(B,A) ) ),
file('theBenchmark.p',redefinition_m2_tsp_1) ).
fof(t22_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
=> ? [C] :
( v3_borsuk_1(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ),
file('theBenchmark.p',t22_tsp_2) ).
fof(t23_tsp_2,conjecture,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
=> r1_borsuk_1(A,B) ) ),
file('theBenchmark.p',t23_tsp_2) ).
fof(t23_tsp_2_neg,negated_conjecture,
~ ! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
=> r1_borsuk_1(A,B) ) ),
inference(assume_negation,[status(cth)],[t23_tsp_2]) ).
fof(nnf_95,plain,
? [A] :
( ? [B] :
( ~ r1_borsuk_1(A,B)
& m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
& l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t23_tsp_2_neg]) ).
fof(sk_t23_tsp_2_neg,plain,
( ~ r1_borsuk_1(sK1,sK0)
& m2_tsp_1(sK0,sK1)
& v2_tsp_2(sK0,sK1)
& ~ v3_struct_0(sK0)
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK0]),skolemize(A,sK1),skolemize(B,sK0)],[nnf_95]) ).
cnf(c_96,negated_conjecture,
v2_tsp_2(sK0,sK1),
inference(split_conjunct,[status(thm)],[sk_t23_tsp_2_neg]) ).
fof(nnf_87,plain,
! [A] :
( ! [B] :
( ? [C] :
( v3_borsuk_1(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
| ~ m2_tsp_1(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t22_tsp_2]) ).
fof(sk_t22_tsp_2_sk,plain,
! [A] :
( ! [B] :
( ( v3_borsuk_1(sK2(A,B),A,B)
& m2_relset_1(sK2(A,B),u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(sK2(A,B),A,B)
& v1_funct_2(sK2(A,B),u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(sK2(A,B)) )
| ~ m2_tsp_1(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(C,sK2(A,B))],[nnf_87]) ).
fof(sk_t22_tsp_2,plain,
( ! [VAR_0,VAR_1] :
( v3_borsuk_1(sK2(VAR_0,VAR_1),VAR_0,VAR_1)
| ~ m2_tsp_1(VAR_1,VAR_0)
| ~ v2_tsp_2(VAR_1,VAR_0)
| v3_struct_0(VAR_1)
| ~ l1_pre_topc(VAR_0)
| ~ v2_pre_topc(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1] :
( m2_relset_1(sK2(VAR_0,VAR_1),u1_struct_0(VAR_0),u1_struct_0(VAR_1))
| ~ m2_tsp_1(VAR_1,VAR_0)
| ~ v2_tsp_2(VAR_1,VAR_0)
| v3_struct_0(VAR_1)
| ~ l1_pre_topc(VAR_0)
| ~ v2_pre_topc(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1] :
( v5_pre_topc(sK2(VAR_0,VAR_1),VAR_0,VAR_1)
| ~ m2_tsp_1(VAR_1,VAR_0)
| ~ v2_tsp_2(VAR_1,VAR_0)
| v3_struct_0(VAR_1)
| ~ l1_pre_topc(VAR_0)
| ~ v2_pre_topc(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1] :
( v1_funct_2(sK2(VAR_0,VAR_1),u1_struct_0(VAR_0),u1_struct_0(VAR_1))
| ~ m2_tsp_1(VAR_1,VAR_0)
| ~ v2_tsp_2(VAR_1,VAR_0)
| v3_struct_0(VAR_1)
| ~ l1_pre_topc(VAR_0)
| ~ v2_pre_topc(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1] :
( v1_funct_1(sK2(VAR_0,VAR_1))
| ~ m2_tsp_1(VAR_1,VAR_0)
| ~ v2_tsp_2(VAR_1,VAR_0)
| v3_struct_0(VAR_1)
| ~ l1_pre_topc(VAR_0)
| ~ v2_pre_topc(VAR_0)
| v3_struct_0(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_t22_tsp_2_sk]) ).
cnf(c_97,plain,
( v3_borsuk_1(sK2(A,B),A,B)
| ~ m2_tsp_1(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_t22_tsp_2]) ).
cnf(c_98,plain,
( m2_relset_1(sK2(A,B),u1_struct_0(A),u1_struct_0(B))
| ~ m2_tsp_1(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_t22_tsp_2]) ).
cnf(c_99,plain,
( v5_pre_topc(sK2(A,B),A,B)
| ~ m2_tsp_1(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_t22_tsp_2]) ).
cnf(c_100,plain,
( v1_funct_2(sK2(A,B),u1_struct_0(A),u1_struct_0(B))
| ~ m2_tsp_1(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_t22_tsp_2]) ).
cnf(c_101,plain,
( v1_funct_1(sK2(A,B))
| ~ m2_tsp_1(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_t22_tsp_2]) ).
cnf(c_159,plain,
( ~ v3_borsuk_1(C,A,B)
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v5_pre_topc(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| r1_borsuk_1(A,B)
| ~ m1_pre_topc(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[d20_borsuk_1]) ).
cnf(c_161,negated_conjecture,
( v1_funct_1(sK2(sK1,sK0))
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_96,c_101]) ).
cnf(c_320,plain,
( m1_pre_topc(B,A)
| ~ m2_tsp_1(B,A)
| ~ l1_pre_topc(A) ),
inference(clausify,[status(thm)],[redefinition_m2_tsp_1]) ).
cnf(c_329,negated_conjecture,
~ v3_struct_0(sK1),
inference(split_conjunct,[status(thm)],[sk_t23_tsp_2_neg]) ).
cnf(c_330,negated_conjecture,
v2_pre_topc(sK1),
inference(split_conjunct,[status(thm)],[sk_t23_tsp_2_neg]) ).
cnf(c_331,negated_conjecture,
l1_pre_topc(sK1),
inference(split_conjunct,[status(thm)],[sk_t23_tsp_2_neg]) ).
cnf(c_332,negated_conjecture,
~ v3_struct_0(sK0),
inference(split_conjunct,[status(thm)],[sk_t23_tsp_2_neg]) ).
cnf(c_333,negated_conjecture,
m2_tsp_1(sK0,sK1),
inference(split_conjunct,[status(thm)],[sk_t23_tsp_2_neg]) ).
cnf(c_334,negated_conjecture,
~ r1_borsuk_1(sK1,sK0),
inference(split_conjunct,[status(thm)],[sk_t23_tsp_2_neg]) ).
cnf(c_335,negated_conjecture,
( v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_96,c_97]) ).
cnf(c_686,negated_conjecture,
( v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_329,c_335]) ).
cnf(c_687,negated_conjecture,
( v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_330,c_686]) ).
cnf(c_688,negated_conjecture,
( v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_331,c_687]) ).
cnf(c_689,negated_conjecture,
( v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_tsp_1(sK0,sK1) ),
inference(resolve,[status(thm)],[c_332,c_688]) ).
cnf(c_336,negated_conjecture,
v3_borsuk_1(sK2(sK1,sK0),sK1,sK0),
inference(resolve,[status(thm)],[c_333,c_689]) ).
cnf(c_337,negated_conjecture,
( m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_96,c_98]) ).
cnf(c_690,negated_conjecture,
( m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_329,c_337]) ).
cnf(c_691,negated_conjecture,
( m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_330,c_690]) ).
cnf(c_692,negated_conjecture,
( m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_331,c_691]) ).
cnf(c_693,negated_conjecture,
( m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_tsp_1(sK0,sK1) ),
inference(resolve,[status(thm)],[c_332,c_692]) ).
cnf(c_338,negated_conjecture,
m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0)),
inference(resolve,[status(thm)],[c_333,c_693]) ).
cnf(c_339,negated_conjecture,
( v5_pre_topc(sK2(sK1,sK0),sK1,sK0)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_96,c_99]) ).
cnf(c_694,negated_conjecture,
( v5_pre_topc(sK2(sK1,sK0),sK1,sK0)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_329,c_339]) ).
cnf(c_695,negated_conjecture,
( v5_pre_topc(sK2(sK1,sK0),sK1,sK0)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_330,c_694]) ).
cnf(c_696,negated_conjecture,
( v5_pre_topc(sK2(sK1,sK0),sK1,sK0)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_331,c_695]) ).
cnf(c_697,negated_conjecture,
( v5_pre_topc(sK2(sK1,sK0),sK1,sK0)
| ~ m2_tsp_1(sK0,sK1) ),
inference(resolve,[status(thm)],[c_332,c_696]) ).
cnf(c_340,negated_conjecture,
v5_pre_topc(sK2(sK1,sK0),sK1,sK0),
inference(resolve,[status(thm)],[c_333,c_697]) ).
cnf(c_341,negated_conjecture,
( v1_funct_2(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_96,c_100]) ).
cnf(c_698,negated_conjecture,
( v1_funct_2(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_329,c_341]) ).
cnf(c_699,negated_conjecture,
( v1_funct_2(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_330,c_698]) ).
cnf(c_700,negated_conjecture,
( v1_funct_2(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_331,c_699]) ).
cnf(c_701,negated_conjecture,
( v1_funct_2(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_tsp_1(sK0,sK1) ),
inference(resolve,[status(thm)],[c_332,c_700]) ).
cnf(c_342,negated_conjecture,
v1_funct_2(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0)),
inference(resolve,[status(thm)],[c_333,c_701]) ).
cnf(c_367,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),A,B)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| ~ v5_pre_topc(sK2(sK1,sK0),A,B)
| ~ v1_funct_2(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| r1_borsuk_1(A,B)
| ~ m1_pre_topc(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_161,c_159]) ).
cnf(c_702,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),A,B)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| ~ v5_pre_topc(sK2(sK1,sK0),A,B)
| ~ v1_funct_2(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| r1_borsuk_1(A,B)
| ~ m1_pre_topc(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_329,c_367]) ).
cnf(c_703,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),A,B)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| ~ v5_pre_topc(sK2(sK1,sK0),A,B)
| ~ v1_funct_2(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| r1_borsuk_1(A,B)
| ~ m1_pre_topc(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_330,c_702]) ).
cnf(c_704,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),A,B)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| ~ v5_pre_topc(sK2(sK1,sK0),A,B)
| ~ v1_funct_2(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| r1_borsuk_1(A,B)
| ~ m1_pre_topc(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A)
| ~ m2_tsp_1(sK0,sK1)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_331,c_703]) ).
cnf(c_705,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),A,B)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| ~ v5_pre_topc(sK2(sK1,sK0),A,B)
| ~ v1_funct_2(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| r1_borsuk_1(A,B)
| ~ m1_pre_topc(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A)
| ~ m2_tsp_1(sK0,sK1) ),
inference(resolve,[status(thm)],[c_332,c_704]) ).
cnf(c_368,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),A,B)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| ~ v5_pre_topc(sK2(sK1,sK0),A,B)
| ~ v1_funct_2(sK2(sK1,sK0),u1_struct_0(A),u1_struct_0(B))
| r1_borsuk_1(A,B)
| ~ m1_pre_topc(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_333,c_705]) ).
cnf(c_706,negated_conjecture,
( m1_pre_topc(sK0,sK1)
| ~ l1_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_333,c_320]) ).
cnf(c_636,negated_conjecture,
m1_pre_topc(sK0,sK1),
inference(resolve,[status(thm)],[c_331,c_706]) ).
cnf(c_707,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v5_pre_topc(sK2(sK1,sK0),sK1,sK0)
| r1_borsuk_1(sK1,sK0)
| ~ m1_pre_topc(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_368,c_342]) ).
cnf(c_708,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v5_pre_topc(sK2(sK1,sK0),sK1,sK0)
| r1_borsuk_1(sK1,sK0)
| ~ m1_pre_topc(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_329,c_707]) ).
cnf(c_709,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v5_pre_topc(sK2(sK1,sK0),sK1,sK0)
| r1_borsuk_1(sK1,sK0)
| ~ m1_pre_topc(sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK1) ),
inference(resolve,[status(thm)],[c_330,c_708]) ).
cnf(c_710,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v5_pre_topc(sK2(sK1,sK0),sK1,sK0)
| r1_borsuk_1(sK1,sK0)
| ~ m1_pre_topc(sK0,sK1)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_331,c_709]) ).
cnf(c_711,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v5_pre_topc(sK2(sK1,sK0),sK1,sK0)
| r1_borsuk_1(sK1,sK0)
| ~ m1_pre_topc(sK0,sK1) ),
inference(resolve,[status(thm)],[c_332,c_710]) ).
cnf(c_712,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v5_pre_topc(sK2(sK1,sK0),sK1,sK0)
| r1_borsuk_1(sK1,sK0) ),
inference(resolve,[status(thm)],[c_636,c_711]) ).
cnf(c_713,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v5_pre_topc(sK2(sK1,sK0),sK1,sK0) ),
inference(resolve,[status(thm)],[c_334,c_712]) ).
cnf(c_714,negated_conjecture,
( ~ v3_borsuk_1(sK2(sK1,sK0),sK1,sK0)
| ~ m2_relset_1(sK2(sK1,sK0),u1_struct_0(sK1),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_340,c_713]) ).
cnf(c_715,negated_conjecture,
~ v3_borsuk_1(sK2(sK1,sK0),sK1,sK0),
inference(resolve,[status(thm)],[c_338,c_714]) ).
cnf(c_685,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_336,c_715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP034+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n004.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 26 20:38:43 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.37 % Process 2575459 was started by sandbox on n004,
% 0.10/5.37 % Sat Sep 26 20:38:43 2026
% 0.10/5.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/5.39
% 0.10/5.39 % From the command line: assign(max_seconds, 300).
% 0.13/5.46
% 0.13/5.46 % SZS status Theorem for theBenchmark
% 0.13/5.46
% 0.13/5.46 % Proof 1 at 0.06 (+ 0.01) seconds.
% 0.13/5.46 % Length of proof is 31.
% 0.13/5.46 % Level of proof is 5.
% 0.13/5.46 % Maximum clause weight is 52.000.
% 0.13/5.46 % Given clauses 136.
% 0.13/5.46
% 0.13/5.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------