%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : TOP034+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 : Thu Sep 24 09:12:57 AM UTC 2026
% Result : Theorem 5.57s 5.85s
% Output : Proof 5.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 115 ( 82 unt; 0 def)
% Number of atoms : 353 ( 0 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 381 ( 143 ~; 144 |; 83 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 32 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f_1_1,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(negate,[status(cth)],[t23_tsp_2]) ).
fof(f_1_2,negated_conjecture,
? [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)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_1] :
( ? [U_0] :
( ~ r1_borsuk_1(U_1,U_0)
& m2_tsp_1(U_0,U_1)
& v2_tsp_2(U_0,U_1)
& ~ v3_struct_0(U_0) )
& l1_pre_topc(U_1)
& v2_pre_topc(U_1)
& ~ v3_struct_0(U_1) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_0] :
( ~ r1_borsuk_1(sK1,U_0)
& m2_tsp_1(U_0,sK1)
& v2_tsp_2(U_0,sK1)
& ~ v3_struct_0(U_0) )
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_1,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ~ r1_borsuk_1(sK1,sK2)
& m2_tsp_1(sK2,sK1)
& v2_tsp_2(sK2,sK1)
& ~ v3_struct_0(sK2)
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_0,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ~ r1_borsuk_1(sK1,sK2)
& m2_tsp_1(sK2,sK1)
& v2_tsp_2(sK2,sK1)
& ~ v3_struct_0(sK2)
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(sK1) ),
inference(definitional_conversion,[status(esa)],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
~ v3_struct_0(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
v2_pre_topc(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_9,negated_conjecture,
l1_pre_topc(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_10,negated_conjecture,
~ v3_struct_0(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_11,negated_conjecture,
v2_tsp_2(sK2,sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_12,negated_conjecture,
m2_tsp_1(sK2,sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_13,negated_conjecture,
~ r1_borsuk_1(sK1,sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
fof(f_49_1,plain,
! [A] :
( ! [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) ) )
& ( ? [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) )
| ~ 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(fof_nnf,[status(thm)],[d20_borsuk_1]) ).
fof(f_49_2,plain,
! [U_85] :
( ! [U_84] :
( ( ( r1_borsuk_1(U_85,U_84)
| ! [U_83] :
( ~ v3_borsuk_1(U_83,U_85,U_84)
| ~ m2_relset_1(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v5_pre_topc(U_83,U_85,U_84)
| ~ v1_funct_2(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v1_funct_1(U_83) ) )
& ( ? [U_82] :
( v3_borsuk_1(U_82,U_85,U_84)
& m2_relset_1(U_82,u1_struct_0(U_85),u1_struct_0(U_84))
& v5_pre_topc(U_82,U_85,U_84)
& v1_funct_2(U_82,u1_struct_0(U_85),u1_struct_0(U_84))
& v1_funct_1(U_82) )
| ~ r1_borsuk_1(U_85,U_84) ) )
| ~ m1_pre_topc(U_84,U_85)
| v3_struct_0(U_84) )
| ~ l1_pre_topc(U_85)
| ~ v2_pre_topc(U_85)
| v3_struct_0(U_85) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
! [U_85] :
( ! [U_84] :
( ( ( r1_borsuk_1(U_85,U_84)
| ! [U_83] :
( ~ v3_borsuk_1(U_83,U_85,U_84)
| ~ m2_relset_1(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v5_pre_topc(U_83,U_85,U_84)
| ~ v1_funct_2(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v1_funct_1(U_83) ) )
& ( ( v3_borsuk_1(sK3(U_85,U_84),U_85,U_84)
& m2_relset_1(sK3(U_85,U_84),u1_struct_0(U_85),u1_struct_0(U_84))
& v5_pre_topc(sK3(U_85,U_84),U_85,U_84)
& v1_funct_2(sK3(U_85,U_84),u1_struct_0(U_85),u1_struct_0(U_84))
& v1_funct_1(sK3(U_85,U_84)) )
| ~ r1_borsuk_1(U_85,U_84) ) )
| ~ m1_pre_topc(U_84,U_85)
| v3_struct_0(U_84) )
| ~ l1_pre_topc(U_85)
| ~ v2_pre_topc(U_85)
| v3_struct_0(U_85) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_82,sK3(U_85,U_84))],[f_49_2]) ).
cnf(f_49_9,plain,
( r1_borsuk_1(U_85,U_84)
| ~ v3_borsuk_1(U_83,U_85,U_84)
| ~ m2_relset_1(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v5_pre_topc(U_83,U_85,U_84)
| ~ v1_funct_2(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v1_funct_1(U_83)
| ~ m1_pre_topc(U_84,U_85)
| v3_struct_0(U_84)
| ~ l1_pre_topc(U_85)
| ~ v2_pre_topc(U_85)
| v3_struct_0(U_85) ),
inference(clausify,[status(thm)],[f_49_3]) ).
fof(f_85_1,plain,
! [A] :
( ! [B] :
( ( m2_tsp_1(B,A)
| ~ m1_pre_topc(B,A) )
& ( m1_pre_topc(B,A)
| ~ m2_tsp_1(B,A) ) )
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1]) ).
fof(f_85_2,plain,
! [U_144] :
( ! [U_143] :
( ( m2_tsp_1(U_143,U_144)
| ~ m1_pre_topc(U_143,U_144) )
& ( m1_pre_topc(U_143,U_144)
| ~ m2_tsp_1(U_143,U_144) ) )
| ~ l1_pre_topc(U_144) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
fof(f_85_3,plain,
! [U_144] :
( ( ! [U_146] :
( m2_tsp_1(U_146,U_144)
| ~ m1_pre_topc(U_146,U_144) )
& ! [U_145] :
( m1_pre_topc(U_145,U_144)
| ~ m2_tsp_1(U_145,U_144) ) )
| ~ l1_pre_topc(U_144) ),
inference(miniscope,[status(thm)],[f_85_2]) ).
cnf(f_85_4,plain,
( m1_pre_topc(U_145,U_144)
| ~ m2_tsp_1(U_145,U_144)
| ~ l1_pre_topc(U_144) ),
inference(clausify,[status(thm)],[f_85_3]) ).
fof(f_88_1,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(f_88_2,plain,
! [U_153] :
( ! [U_152] :
( ? [U_151] :
( v3_borsuk_1(U_151,U_153,U_152)
& m2_relset_1(U_151,u1_struct_0(U_153),u1_struct_0(U_152))
& v5_pre_topc(U_151,U_153,U_152)
& v1_funct_2(U_151,u1_struct_0(U_153),u1_struct_0(U_152))
& v1_funct_1(U_151) )
| ~ m2_tsp_1(U_152,U_153)
| ~ v2_tsp_2(U_152,U_153)
| v3_struct_0(U_152) )
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153)
| v3_struct_0(U_153) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
! [U_153] :
( ! [U_152] :
( ( v3_borsuk_1(sK23(U_153,U_152),U_153,U_152)
& m2_relset_1(sK23(U_153,U_152),u1_struct_0(U_153),u1_struct_0(U_152))
& v5_pre_topc(sK23(U_153,U_152),U_153,U_152)
& v1_funct_2(sK23(U_153,U_152),u1_struct_0(U_153),u1_struct_0(U_152))
& v1_funct_1(sK23(U_153,U_152)) )
| ~ m2_tsp_1(U_152,U_153)
| ~ v2_tsp_2(U_152,U_153)
| v3_struct_0(U_152) )
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153)
| v3_struct_0(U_153) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_151,sK23(U_153,U_152))],[f_88_2]) ).
cnf(f_88_4,plain,
( v1_funct_1(sK23(U_153,U_152))
| ~ m2_tsp_1(U_152,U_153)
| ~ v2_tsp_2(U_152,U_153)
| v3_struct_0(U_152)
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153)
| v3_struct_0(U_153) ),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_5,plain,
( v1_funct_2(sK23(U_153,U_152),u1_struct_0(U_153),u1_struct_0(U_152))
| ~ m2_tsp_1(U_152,U_153)
| ~ v2_tsp_2(U_152,U_153)
| v3_struct_0(U_152)
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153)
| v3_struct_0(U_153) ),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_6,plain,
( v5_pre_topc(sK23(U_153,U_152),U_153,U_152)
| ~ m2_tsp_1(U_152,U_153)
| ~ v2_tsp_2(U_152,U_153)
| v3_struct_0(U_152)
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153)
| v3_struct_0(U_153) ),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_7,plain,
( m2_relset_1(sK23(U_153,U_152),u1_struct_0(U_153),u1_struct_0(U_152))
| ~ m2_tsp_1(U_152,U_153)
| ~ v2_tsp_2(U_152,U_153)
| v3_struct_0(U_152)
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153)
| v3_struct_0(U_153) ),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_8,plain,
( v3_borsuk_1(sK23(U_153,U_152),U_153,U_152)
| ~ m2_tsp_1(U_152,U_153)
| ~ v2_tsp_2(U_152,U_153)
| v3_struct_0(U_152)
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153)
| v3_struct_0(U_153) ),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(t1,plain,
~ v3_struct_0(sK1),
inference(start,[status(thm),parent(0:0)],[f_1_7]) ).
cnf(t2,plain,
( ~ v2_pre_topc(sK1)
| ~ l1_pre_topc(sK1)
| v3_struct_0(sK2)
| ~ m1_pre_topc(sK2,sK1)
| ~ v1_funct_1(sK23(sK1,sK2))
| ~ v1_funct_2(sK23(sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v5_pre_topc(sK23(sK1,sK2),sK1,sK2)
| ~ m2_relset_1(sK23(sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v3_borsuk_1(sK23(sK1,sK2),sK1,sK2)
| r1_borsuk_1(sK1,sK2)
| v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t1:1)],[f_49_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
~ r1_borsuk_1(sK1,sK2),
inference(extension,[status(thm),parent(t2:2)],[f_1_13]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ v2_pre_topc(sK1)
| ~ l1_pre_topc(sK1)
| v3_struct_0(sK2)
| ~ v2_tsp_2(sK2,sK1)
| ~ m2_tsp_1(sK2,sK1)
| v3_struct_0(sK1)
| v3_borsuk_1(sK23(sK1,sK2),sK1,sK2) ),
inference(extension,[status(thm),parent(t2:3)],[f_88_8]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
$false,
inference(reduction,[status(thm),parent(t6:2)],[t6:2,t1:1]) ).
cnf(t9,plain,
m2_tsp_1(sK2,sK1),
inference(extension,[status(thm),parent(t6:3)],[f_1_12]) ).
cnf(t10,plain,
$false,
inference(connection,[status(thm),parent(t9:1)],[t9:1,t6:3]) ).
cnf(t11,plain,
v2_tsp_2(sK2,sK1),
inference(extension,[status(thm),parent(t6:4)],[f_1_11]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t6:4]) ).
cnf(t13,plain,
~ v3_struct_0(sK2),
inference(extension,[status(thm),parent(t6:5)],[f_1_10]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t6:5]) ).
cnf(t15,plain,
l1_pre_topc(sK1),
inference(extension,[status(thm),parent(t6:6)],[f_1_9]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t6:6]) ).
cnf(t17,plain,
v2_pre_topc(sK1),
inference(extension,[status(thm),parent(t6:7)],[f_1_8]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t6:7]) ).
cnf(t19,plain,
( ~ v2_pre_topc(sK1)
| ~ l1_pre_topc(sK1)
| v3_struct_0(sK2)
| ~ v2_tsp_2(sK2,sK1)
| ~ m2_tsp_1(sK2,sK1)
| v3_struct_0(sK1)
| m2_relset_1(sK23(sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK2)) ),
inference(extension,[status(thm),parent(t2:4)],[f_88_7]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t2:4]) ).
cnf(t21,plain,
$false,
inference(reduction,[status(thm),parent(t19:2)],[t19:2,t1:1]) ).
cnf(t22,plain,
m2_tsp_1(sK2,sK1),
inference(extension,[status(thm),parent(t19:3)],[f_1_12]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t19:3]) ).
cnf(t24,plain,
v2_tsp_2(sK2,sK1),
inference(extension,[status(thm),parent(t19:4)],[f_1_11]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t19:4]) ).
cnf(t26,plain,
~ v3_struct_0(sK2),
inference(extension,[status(thm),parent(t19:5)],[f_1_10]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t19:5]) ).
cnf(t28,plain,
l1_pre_topc(sK1),
inference(extension,[status(thm),parent(t19:6)],[f_1_9]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t19:6]) ).
cnf(t30,plain,
v2_pre_topc(sK1),
inference(extension,[status(thm),parent(t19:7)],[f_1_8]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t19:7]) ).
cnf(t32,plain,
( ~ v2_pre_topc(sK1)
| ~ l1_pre_topc(sK1)
| v3_struct_0(sK2)
| ~ v2_tsp_2(sK2,sK1)
| ~ m2_tsp_1(sK2,sK1)
| v3_struct_0(sK1)
| v5_pre_topc(sK23(sK1,sK2),sK1,sK2) ),
inference(extension,[status(thm),parent(t2:5)],[f_88_6]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t2:5]) ).
cnf(t34,plain,
$false,
inference(reduction,[status(thm),parent(t32:2)],[t32:2,t1:1]) ).
cnf(t35,plain,
m2_tsp_1(sK2,sK1),
inference(extension,[status(thm),parent(t32:3)],[f_1_12]) ).
cnf(t36,plain,
$false,
inference(connection,[status(thm),parent(t35:1)],[t35:1,t32:3]) ).
cnf(t37,plain,
v2_tsp_2(sK2,sK1),
inference(extension,[status(thm),parent(t32:4)],[f_1_11]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t32:4]) ).
cnf(t39,plain,
~ v3_struct_0(sK2),
inference(extension,[status(thm),parent(t32:5)],[f_1_10]) ).
cnf(t40,plain,
$false,
inference(connection,[status(thm),parent(t39:1)],[t39:1,t32:5]) ).
cnf(t41,plain,
l1_pre_topc(sK1),
inference(extension,[status(thm),parent(t32:6)],[f_1_9]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t32:6]) ).
cnf(t43,plain,
v2_pre_topc(sK1),
inference(extension,[status(thm),parent(t32:7)],[f_1_8]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t32:7]) ).
cnf(t45,plain,
( ~ v2_pre_topc(sK1)
| ~ l1_pre_topc(sK1)
| v3_struct_0(sK2)
| ~ v2_tsp_2(sK2,sK1)
| ~ m2_tsp_1(sK2,sK1)
| v3_struct_0(sK1)
| v1_funct_2(sK23(sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK2)) ),
inference(extension,[status(thm),parent(t2:6)],[f_88_5]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t2:6]) ).
cnf(t47,plain,
$false,
inference(reduction,[status(thm),parent(t45:2)],[t45:2,t1:1]) ).
cnf(t48,plain,
m2_tsp_1(sK2,sK1),
inference(extension,[status(thm),parent(t45:3)],[f_1_12]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t45:3]) ).
cnf(t50,plain,
v2_tsp_2(sK2,sK1),
inference(extension,[status(thm),parent(t45:4)],[f_1_11]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t45:4]) ).
cnf(t52,plain,
~ v3_struct_0(sK2),
inference(extension,[status(thm),parent(t45:5)],[f_1_10]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t45:5]) ).
cnf(t54,plain,
l1_pre_topc(sK1),
inference(extension,[status(thm),parent(t45:6)],[f_1_9]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t45:6]) ).
cnf(t56,plain,
v2_pre_topc(sK1),
inference(extension,[status(thm),parent(t45:7)],[f_1_8]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t45:7]) ).
cnf(t58,plain,
( ~ v2_pre_topc(sK1)
| ~ l1_pre_topc(sK1)
| v3_struct_0(sK2)
| ~ v2_tsp_2(sK2,sK1)
| ~ m2_tsp_1(sK2,sK1)
| v3_struct_0(sK1)
| v1_funct_1(sK23(sK1,sK2)) ),
inference(extension,[status(thm),parent(t2:7)],[f_88_4]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t2:7]) ).
cnf(t60,plain,
$false,
inference(reduction,[status(thm),parent(t58:2)],[t58:2,t1:1]) ).
cnf(t61,plain,
m2_tsp_1(sK2,sK1),
inference(extension,[status(thm),parent(t58:3)],[f_1_12]) ).
cnf(t62,plain,
$false,
inference(connection,[status(thm),parent(t61:1)],[t61:1,t58:3]) ).
cnf(t63,plain,
v2_tsp_2(sK2,sK1),
inference(extension,[status(thm),parent(t58:4)],[f_1_11]) ).
cnf(t64,plain,
$false,
inference(connection,[status(thm),parent(t63:1)],[t63:1,t58:4]) ).
cnf(t65,plain,
~ v3_struct_0(sK2),
inference(extension,[status(thm),parent(t58:5)],[f_1_10]) ).
cnf(t66,plain,
$false,
inference(connection,[status(thm),parent(t65:1)],[t65:1,t58:5]) ).
cnf(t67,plain,
l1_pre_topc(sK1),
inference(extension,[status(thm),parent(t58:6)],[f_1_9]) ).
cnf(t68,plain,
$false,
inference(connection,[status(thm),parent(t67:1)],[t67:1,t58:6]) ).
cnf(t69,plain,
v2_pre_topc(sK1),
inference(extension,[status(thm),parent(t58:7)],[f_1_8]) ).
cnf(t70,plain,
$false,
inference(connection,[status(thm),parent(t69:1)],[t69:1,t58:7]) ).
cnf(t71,plain,
( ~ m2_tsp_1(sK2,sK1)
| ~ l1_pre_topc(sK1)
| m1_pre_topc(sK2,sK1) ),
inference(extension,[status(thm),parent(t2:8)],[f_85_4]) ).
cnf(t72,plain,
$false,
inference(connection,[status(thm),parent(t71:1)],[t71:1,t2:8]) ).
cnf(t73,plain,
l1_pre_topc(sK1),
inference(extension,[status(thm),parent(t71:2)],[f_1_9]) ).
cnf(t74,plain,
$false,
inference(connection,[status(thm),parent(t73:1)],[t73:1,t71:2]) ).
cnf(t75,plain,
m2_tsp_1(sK2,sK1),
inference(extension,[status(thm),parent(t71:3)],[f_1_12]) ).
cnf(t76,plain,
$false,
inference(connection,[status(thm),parent(t75:1)],[t75:1,t71:3]) ).
cnf(t77,plain,
~ v3_struct_0(sK2),
inference(extension,[status(thm),parent(t2:9)],[f_1_10]) ).
cnf(t78,plain,
$false,
inference(connection,[status(thm),parent(t77:1)],[t77:1,t2:9]) ).
cnf(t79,plain,
l1_pre_topc(sK1),
inference(extension,[status(thm),parent(t2:10)],[f_1_9]) ).
cnf(t80,plain,
$false,
inference(connection,[status(thm),parent(t79:1)],[t79:1,t2:10]) ).
cnf(t81,plain,
v2_pre_topc(sK1),
inference(extension,[status(thm),parent(t2:11)],[f_1_8]) ).
cnf(t82,plain,
$false,
inference(connection,[status(thm),parent(t81:1)],[t81:1,t2:11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP034+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 08:31:36 UTC 2026
% 0.14/0.36 % CPUTime :
% 5.57/5.85 % SZS status Theorem for theBenchmark
% 5.57/5.85 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------