%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : TOP026+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 : n001.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 09:12:55 AM UTC 2026
% Result : Theorem 0.38s 0.66s
% Output : Proof 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 54 ( 31 unt; 0 def)
% Number of atoms : 162 ( 15 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 172 ( 64 ~; 48 |; 45 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 43 ( 0 sgn 27 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_tsp_2,conjecture,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> k6_pre_topc(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C))) ) ) ) ),
file('theBenchmark.p',t7_tsp_2) ).
fof(dt_k6_pre_topc,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_pre_topc(A) )
=> m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('theBenchmark.p',dt_k6_pre_topc) ).
fof(fc2_tops_1,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_pre_topc(A)
& v2_pre_topc(A) )
=> v4_pre_topc(k6_pre_topc(A,B),A) ),
file('theBenchmark.p',fc2_tops_1) ).
fof(t5_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( v4_pre_topc(C,A)
=> C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) ) ) ) ) ),
file('theBenchmark.p',t5_tsp_2) ).
fof(f_1_1,negated_conjecture,
~ ! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> k6_pre_topc(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C))) ) ) ) ),
inference(negate,[status(cth)],[t7_tsp_2]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ? [B] :
( ? [C] :
( k6_pre_topc(A,C) != k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C)))
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
& v1_tsp_2(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
& 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_2] :
( ? [U_1] :
( ? [U_0] :
( k6_pre_topc(U_2,U_0) != k3_tex_4(U_2,k5_subset_1(u1_struct_0(U_2),U_1,k6_pre_topc(U_2,U_0)))
& m1_subset_1(U_0,k1_zfmisc_1(u1_struct_0(U_2))) )
& v1_tsp_2(U_1,U_2)
& m1_subset_1(U_1,k1_zfmisc_1(u1_struct_0(U_2))) )
& l1_pre_topc(U_2)
& v2_pre_topc(U_2)
& ~ v3_struct_0(U_2) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_1] :
( ? [U_0] :
( k6_pre_topc(sK1,U_0) != k3_tex_4(sK1,k5_subset_1(u1_struct_0(sK1),U_1,k6_pre_topc(sK1,U_0)))
& m1_subset_1(U_0,k1_zfmisc_1(u1_struct_0(sK1))) )
& v1_tsp_2(U_1,sK1)
& m1_subset_1(U_1,k1_zfmisc_1(u1_struct_0(sK1))) )
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ? [U_0] :
( k6_pre_topc(sK1,U_0) != k3_tex_4(sK1,k5_subset_1(u1_struct_0(sK1),sK2,k6_pre_topc(sK1,U_0)))
& m1_subset_1(U_0,k1_zfmisc_1(u1_struct_0(sK1))) )
& v1_tsp_2(sK2,sK1)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_1,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( k6_pre_topc(sK1,sK3) != k3_tex_4(sK1,k5_subset_1(u1_struct_0(sK1),sK2,k6_pre_topc(sK1,sK3)))
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& v1_tsp_2(sK2,sK1)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_0,sK3)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( k6_pre_topc(sK1,sK3) != k3_tex_4(sK1,k5_subset_1(u1_struct_0(sK1),sK2,k6_pre_topc(sK1,sK3)))
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& v1_tsp_2(sK2,sK1)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(sK1) ),
inference(definitional_conversion,[status(esa)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
~ v3_struct_0(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
v2_pre_topc(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_10,negated_conjecture,
l1_pre_topc(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_11,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_12,negated_conjecture,
v1_tsp_2(sK2,sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_13,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_14,negated_conjecture,
k6_pre_topc(sK1,sK3) != k3_tex_4(sK1,k5_subset_1(u1_struct_0(sK1),sK2,k6_pre_topc(sK1,sK3))),
inference(clausify,[status(thm)],[f_1_7]) ).
fof(f_70_1,plain,
! [A,B] :
( m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A)))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_pre_topc]) ).
fof(f_70_2,plain,
! [U_152,U_151] :
( m1_subset_1(k6_pre_topc(U_152,U_151),k1_zfmisc_1(u1_struct_0(U_152)))
| ~ m1_subset_1(U_151,k1_zfmisc_1(u1_struct_0(U_152)))
| ~ l1_pre_topc(U_152) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
cnf(f_70_3,plain,
( m1_subset_1(k6_pre_topc(U_152,U_151),k1_zfmisc_1(u1_struct_0(U_152)))
| ~ m1_subset_1(U_151,k1_zfmisc_1(u1_struct_0(U_152)))
| ~ l1_pre_topc(U_152) ),
inference(clausify,[status(thm)],[f_70_2]) ).
fof(f_75_1,plain,
! [A,B] :
( v4_pre_topc(k6_pre_topc(A,B),A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[fc2_tops_1]) ).
fof(f_75_2,plain,
! [U_156,U_155] :
( v4_pre_topc(k6_pre_topc(U_156,U_155),U_156)
| ~ m1_subset_1(U_155,k1_zfmisc_1(u1_struct_0(U_156)))
| ~ l1_pre_topc(U_156)
| ~ v2_pre_topc(U_156) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
cnf(f_75_3,plain,
( v4_pre_topc(k6_pre_topc(U_156,U_155),U_156)
| ~ m1_subset_1(U_155,k1_zfmisc_1(u1_struct_0(U_156)))
| ~ l1_pre_topc(U_156)
| ~ v2_pre_topc(U_156) ),
inference(clausify,[status(thm)],[f_75_2]) ).
fof(f_78_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C))
| ~ v4_pre_topc(C,A)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
| ~ v1_tsp_2(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t5_tsp_2]) ).
fof(f_78_2,plain,
! [U_167] :
( ! [U_166] :
( ! [U_165] :
( U_165 = k3_tex_4(U_167,k5_subset_1(u1_struct_0(U_167),U_166,U_165))
| ~ v4_pre_topc(U_165,U_167)
| ~ m1_subset_1(U_165,k1_zfmisc_1(u1_struct_0(U_167))) )
| ~ v1_tsp_2(U_166,U_167)
| ~ m1_subset_1(U_166,k1_zfmisc_1(u1_struct_0(U_167))) )
| ~ l1_pre_topc(U_167)
| ~ v2_pre_topc(U_167)
| v3_struct_0(U_167) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
cnf(f_78_3,plain,
( U_165 = k3_tex_4(U_167,k5_subset_1(u1_struct_0(U_167),U_166,U_165))
| ~ v4_pre_topc(U_165,U_167)
| ~ m1_subset_1(U_165,k1_zfmisc_1(u1_struct_0(U_167)))
| ~ v1_tsp_2(U_166,U_167)
| ~ m1_subset_1(U_166,k1_zfmisc_1(u1_struct_0(U_167)))
| ~ l1_pre_topc(U_167)
| ~ v2_pre_topc(U_167)
| v3_struct_0(U_167) ),
inference(clausify,[status(thm)],[f_78_2]) ).
cnf(t1,plain,
~ v3_struct_0(sK1),
inference(start,[status(thm),parent(0:0)],[f_1_8]) ).
cnf(t2,plain,
( ~ v2_pre_topc(sK1)
| ~ l1_pre_topc(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_tsp_2(sK2,sK1)
| ~ m1_subset_1(k6_pre_topc(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_pre_topc(k6_pre_topc(sK1,sK3),sK1)
| k6_pre_topc(sK1,sK3) = k3_tex_4(sK1,k5_subset_1(u1_struct_0(sK1),sK2,k6_pre_topc(sK1,sK3)))
| v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t1:1)],[f_78_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
k6_pre_topc(sK1,sK3) != k3_tex_4(sK1,k5_subset_1(u1_struct_0(sK1),sK2,k6_pre_topc(sK1,sK3))),
inference(extension,[status(thm),parent(t2:2)],[f_1_14]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ l1_pre_topc(sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v2_pre_topc(sK1)
| v4_pre_topc(k6_pre_topc(sK1,sK3),sK1) ),
inference(extension,[status(thm),parent(t2:3)],[f_75_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
v2_pre_topc(sK1),
inference(extension,[status(thm),parent(t6:2)],[f_1_9]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(extension,[status(thm),parent(t6:3)],[f_1_13]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
l1_pre_topc(sK1),
inference(extension,[status(thm),parent(t6:4)],[f_1_10]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(t14,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_pre_topc(sK1)
| m1_subset_1(k6_pre_topc(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(extension,[status(thm),parent(t2:4)],[f_70_3]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:4]) ).
cnf(t16,plain,
l1_pre_topc(sK1),
inference(extension,[status(thm),parent(t14:2)],[f_1_10]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(extension,[status(thm),parent(t14:3)],[f_1_13]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
v1_tsp_2(sK2,sK1),
inference(extension,[status(thm),parent(t2:5)],[f_1_12]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:5]) ).
cnf(t22,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(extension,[status(thm),parent(t2:6)],[f_1_11]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t2:6]) ).
cnf(t24,plain,
l1_pre_topc(sK1),
inference(extension,[status(thm),parent(t2:7)],[f_1_10]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t2:7]) ).
cnf(t26,plain,
v2_pre_topc(sK1),
inference(extension,[status(thm),parent(t2:8)],[f_1_9]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP026+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
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 08:24:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.38/0.66 % SZS status Theorem for theBenchmark
% 0.38/0.66 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------