%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GRP643+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 08:42:08 AM UTC 2026
% Result : Theorem 2.45s 2.79s
% Output : Proof 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 108 ( 81 unt; 0 def)
% Number of atoms : 331 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 344 ( 121 ~; 110 |; 93 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 65 ( 0 sgn 38 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t21_latsubgr,conjecture,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& v1_group_1(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( r2_hidden(D,k1_funct_1(k1_latsubgr(A),B))
& r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) )
=> r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ) ),
file('theBenchmark.p',t21_latsubgr) ).
fof(dt_k1_group_1,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_group_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)) ),
file('theBenchmark.p',dt_k1_group_1) ).
fof(t18_latsubgr,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& v1_group_1(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
<=> r1_rlvect_1(B,C) ) ) ) ),
file('theBenchmark.p',t18_latsubgr) ).
fof(t59_group_2,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_group_2(D,A)
=> ( ( r1_rlvect_1(D,C)
& r1_rlvect_1(D,B) )
=> r1_rlvect_1(D,k1_group_1(A,B,C)) ) ) ) ) ),
file('theBenchmark.p',t59_group_2) ).
fof(f_1_1,negated_conjecture,
~ ! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_group_2(B,A)
& v1_group_1(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( r2_hidden(D,k1_funct_1(k1_latsubgr(A),B))
& r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) )
=> r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ) ),
inference(negate,[status(cth)],[t21_latsubgr]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( ~ r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B))
& r2_hidden(D,k1_funct_1(k1_latsubgr(A),B))
& r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m1_group_2(B,A)
& v1_group_1(B) )
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_3] :
( ? [U_2] :
( ? [U_1] :
( ? [U_0] :
( ~ r2_hidden(k1_group_1(U_3,U_1,U_0),k1_funct_1(k1_latsubgr(U_3),U_2))
& r2_hidden(U_0,k1_funct_1(k1_latsubgr(U_3),U_2))
& r2_hidden(U_1,k1_funct_1(k1_latsubgr(U_3),U_2))
& m1_subset_1(U_0,u1_struct_0(U_3)) )
& m1_subset_1(U_1,u1_struct_0(U_3)) )
& m1_group_2(U_2,U_3)
& v1_group_1(U_2) )
& l1_group_1(U_3)
& v4_group_1(U_3)
& v3_group_1(U_3)
& ~ v3_struct_0(U_3) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_2] :
( ? [U_1] :
( ? [U_0] :
( ~ r2_hidden(k1_group_1(sK1,U_1,U_0),k1_funct_1(k1_latsubgr(sK1),U_2))
& r2_hidden(U_0,k1_funct_1(k1_latsubgr(sK1),U_2))
& r2_hidden(U_1,k1_funct_1(k1_latsubgr(sK1),U_2))
& m1_subset_1(U_0,u1_struct_0(sK1)) )
& m1_subset_1(U_1,u1_struct_0(sK1)) )
& m1_group_2(U_2,sK1)
& v1_group_1(U_2) )
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_3,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ? [U_1] :
( ? [U_0] :
( ~ r2_hidden(k1_group_1(sK1,U_1,U_0),k1_funct_1(k1_latsubgr(sK1),sK2))
& r2_hidden(U_0,k1_funct_1(k1_latsubgr(sK1),sK2))
& r2_hidden(U_1,k1_funct_1(k1_latsubgr(sK1),sK2))
& m1_subset_1(U_0,u1_struct_0(sK1)) )
& m1_subset_1(U_1,u1_struct_0(sK1)) )
& m1_group_2(sK2,sK1)
& v1_group_1(sK2)
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_2,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ? [U_0] :
( ~ r2_hidden(k1_group_1(sK1,sK3,U_0),k1_funct_1(k1_latsubgr(sK1),sK2))
& r2_hidden(U_0,k1_funct_1(k1_latsubgr(sK1),sK2))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2))
& m1_subset_1(U_0,u1_struct_0(sK1)) )
& m1_subset_1(sK3,u1_struct_0(sK1))
& m1_group_2(sK2,sK1)
& v1_group_1(sK2)
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_1,sK3)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ~ r2_hidden(k1_group_1(sK1,sK3,sK4),k1_funct_1(k1_latsubgr(sK1),sK2))
& r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK1),sK2))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2))
& m1_subset_1(sK4,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK1))
& m1_group_2(sK2,sK1)
& v1_group_1(sK2)
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_0,sK4)],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ~ r2_hidden(k1_group_1(sK1,sK3,sK4),k1_funct_1(k1_latsubgr(sK1),sK2))
& r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK1),sK2))
& r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2))
& m1_subset_1(sK4,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK1))
& m1_group_2(sK2,sK1)
& v1_group_1(sK2)
& l1_group_1(sK1)
& v4_group_1(sK1)
& v3_group_1(sK1)
& ~ v3_struct_0(sK1) ),
inference(definitional_conversion,[status(esa)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
~ v3_struct_0(sK1),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_10,negated_conjecture,
v3_group_1(sK1),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_11,negated_conjecture,
v4_group_1(sK1),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_12,negated_conjecture,
l1_group_1(sK1),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_13,negated_conjecture,
v1_group_1(sK2),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_14,negated_conjecture,
m1_group_2(sK2,sK1),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_15,negated_conjecture,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_16,negated_conjecture,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_17,negated_conjecture,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_18,negated_conjecture,
r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_19,negated_conjecture,
~ r2_hidden(k1_group_1(sK1,sK3,sK4),k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(clausify,[status(thm)],[f_1_8]) ).
fof(f_10_1,plain,
! [A,B,C] :
( m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_group_1]) ).
fof(f_10_2,plain,
! [U_23,U_22,U_21] :
( m1_subset_1(k1_group_1(U_23,U_22,U_21),u1_struct_0(U_23))
| ~ m1_subset_1(U_21,u1_struct_0(U_23))
| ~ m1_subset_1(U_22,u1_struct_0(U_23))
| ~ l1_group_1(U_23)
| v3_struct_0(U_23) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( m1_subset_1(k1_group_1(U_23,U_22,U_21),u1_struct_0(U_23))
| ~ m1_subset_1(U_21,u1_struct_0(U_23))
| ~ m1_subset_1(U_22,u1_struct_0(U_23))
| ~ l1_group_1(U_23)
| v3_struct_0(U_23) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_46_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
| ~ r1_rlvect_1(B,C) )
& ( r1_rlvect_1(B,C)
| ~ r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_group_2(B,A)
| ~ v1_group_1(B) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t18_latsubgr]) ).
fof(f_46_2,plain,
! [U_81] :
( ! [U_80] :
( ! [U_79] :
( ( ( r2_hidden(U_79,k1_funct_1(k1_latsubgr(U_81),U_80))
| ~ r1_rlvect_1(U_80,U_79) )
& ( r1_rlvect_1(U_80,U_79)
| ~ r2_hidden(U_79,k1_funct_1(k1_latsubgr(U_81),U_80)) ) )
| ~ m1_subset_1(U_79,u1_struct_0(U_81)) )
| ~ m1_group_2(U_80,U_81)
| ~ v1_group_1(U_80) )
| ~ l1_group_1(U_81)
| ~ v4_group_1(U_81)
| ~ v3_group_1(U_81)
| v3_struct_0(U_81) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
cnf(f_46_3,plain,
( r1_rlvect_1(U_80,U_79)
| ~ r2_hidden(U_79,k1_funct_1(k1_latsubgr(U_81),U_80))
| ~ m1_subset_1(U_79,u1_struct_0(U_81))
| ~ m1_group_2(U_80,U_81)
| ~ v1_group_1(U_80)
| ~ l1_group_1(U_81)
| ~ v4_group_1(U_81)
| ~ v3_group_1(U_81)
| v3_struct_0(U_81) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_4,plain,
( r2_hidden(U_79,k1_funct_1(k1_latsubgr(U_81),U_80))
| ~ r1_rlvect_1(U_80,U_79)
| ~ m1_subset_1(U_79,u1_struct_0(U_81))
| ~ m1_group_2(U_80,U_81)
| ~ v1_group_1(U_80)
| ~ l1_group_1(U_81)
| ~ v4_group_1(U_81)
| ~ v3_group_1(U_81)
| v3_struct_0(U_81) ),
inference(clausify,[status(thm)],[f_46_2]) ).
fof(f_51_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( r1_rlvect_1(D,k1_group_1(A,B,C))
| ~ r1_rlvect_1(D,C)
| ~ r1_rlvect_1(D,B)
| ~ m1_group_2(D,A) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t59_group_2]) ).
fof(f_51_2,plain,
! [U_98] :
( ! [U_97] :
( ! [U_96] :
( ! [U_95] :
( r1_rlvect_1(U_95,k1_group_1(U_98,U_97,U_96))
| ~ r1_rlvect_1(U_95,U_96)
| ~ r1_rlvect_1(U_95,U_97)
| ~ m1_group_2(U_95,U_98) )
| ~ m1_subset_1(U_96,u1_struct_0(U_98)) )
| ~ m1_subset_1(U_97,u1_struct_0(U_98)) )
| ~ l1_group_1(U_98)
| ~ v4_group_1(U_98)
| ~ v3_group_1(U_98)
| v3_struct_0(U_98) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
cnf(f_51_3,plain,
( r1_rlvect_1(U_95,k1_group_1(U_98,U_97,U_96))
| ~ r1_rlvect_1(U_95,U_96)
| ~ r1_rlvect_1(U_95,U_97)
| ~ m1_group_2(U_95,U_98)
| ~ m1_subset_1(U_96,u1_struct_0(U_98))
| ~ m1_subset_1(U_97,u1_struct_0(U_98))
| ~ l1_group_1(U_98)
| ~ v4_group_1(U_98)
| ~ v3_group_1(U_98)
| v3_struct_0(U_98) ),
inference(clausify,[status(thm)],[f_51_2]) ).
cnf(t1,plain,
~ v3_struct_0(sK1),
inference(start,[status(thm),parent(0:0)],[f_1_9]) ).
cnf(t2,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_group_2(sK2,sK1)
| ~ r1_rlvect_1(sK2,sK3)
| ~ r1_rlvect_1(sK2,sK4)
| r1_rlvect_1(sK2,k1_group_1(sK1,sK3,sK4))
| v3_struct_0(sK1) ),
inference(extension,[status(thm),parent(t1:1)],[f_51_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_group_1(sK2)
| ~ m1_group_2(sK2,sK1)
| ~ m1_subset_1(k1_group_1(sK1,sK3,sK4),u1_struct_0(sK1))
| r2_hidden(k1_group_1(sK1,sK3,sK4),k1_funct_1(k1_latsubgr(sK1),sK2))
| v3_struct_0(sK1)
| ~ r1_rlvect_1(sK2,k1_group_1(sK1,sK3,sK4)) ),
inference(extension,[status(thm),parent(t2:2)],[f_46_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
$false,
inference(reduction,[status(thm),parent(t4:2)],[t4:2,t1:1]) ).
cnf(l3,lemma,
~ v3_struct_0(sK1),
inference(lemma,[status(cth),parent(t4:2),below(t2:2)],[t4:2]) ).
cnf(t7,plain,
~ r2_hidden(k1_group_1(sK1,sK3,sK4),k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(extension,[status(thm),parent(t4:3)],[f_1_19]) ).
cnf(t8,plain,
$false,
inference(connection,[status(thm),parent(t7:1)],[t7:1,t4:3]) ).
cnf(t9,plain,
( ~ l1_group_1(sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| v3_struct_0(sK1)
| m1_subset_1(k1_group_1(sK1,sK3,sK4),u1_struct_0(sK1)) ),
inference(extension,[status(thm),parent(t4:4)],[f_10_3]) ).
cnf(t10,plain,
$false,
inference(connection,[status(thm),parent(t9:1)],[t9:1,t4:4]) ).
cnf(t11,plain,
~ v3_struct_0(sK1),
inference(lemma_extension,[status(thm),parent(t9:2)],[l3:1]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t9:2]) ).
cnf(t13,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(extension,[status(thm),parent(t9:3)],[f_1_16]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t9:3]) ).
cnf(t15,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(extension,[status(thm),parent(t9:4)],[f_1_15]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t9:4]) ).
cnf(t17,plain,
l1_group_1(sK1),
inference(extension,[status(thm),parent(t9:5)],[f_1_12]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t9:5]) ).
cnf(t19,plain,
m1_group_2(sK2,sK1),
inference(extension,[status(thm),parent(t4:5)],[f_1_14]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t4:5]) ).
cnf(t21,plain,
v1_group_1(sK2),
inference(extension,[status(thm),parent(t4:6)],[f_1_13]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t4:6]) ).
cnf(t23,plain,
l1_group_1(sK1),
inference(extension,[status(thm),parent(t4:7)],[f_1_12]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t4:7]) ).
cnf(t25,plain,
v4_group_1(sK1),
inference(extension,[status(thm),parent(t4:8)],[f_1_11]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t4:8]) ).
cnf(t27,plain,
v3_group_1(sK1),
inference(extension,[status(thm),parent(t4:9)],[f_1_10]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t4:9]) ).
cnf(t29,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_group_1(sK2)
| ~ m1_group_2(sK2,sK1)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK1),sK2))
| v3_struct_0(sK1)
| r1_rlvect_1(sK2,sK4) ),
inference(extension,[status(thm),parent(t2:3)],[f_46_3]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t2:3]) ).
cnf(t31,plain,
$false,
inference(reduction,[status(thm),parent(t29:2)],[t29:2,t1:1]) ).
cnf(t32,plain,
r2_hidden(sK4,k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(extension,[status(thm),parent(t29:3)],[f_1_18]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t29:3]) ).
cnf(t34,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(extension,[status(thm),parent(t29:4)],[f_1_16]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t29:4]) ).
cnf(t36,plain,
m1_group_2(sK2,sK1),
inference(extension,[status(thm),parent(t29:5)],[f_1_14]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t29:5]) ).
cnf(t38,plain,
v1_group_1(sK2),
inference(extension,[status(thm),parent(t29:6)],[f_1_13]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t29:6]) ).
cnf(t40,plain,
l1_group_1(sK1),
inference(extension,[status(thm),parent(t29:7)],[f_1_12]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t29:7]) ).
cnf(t42,plain,
v4_group_1(sK1),
inference(extension,[status(thm),parent(t29:8)],[f_1_11]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t29:8]) ).
cnf(t44,plain,
v3_group_1(sK1),
inference(extension,[status(thm),parent(t29:9)],[f_1_10]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t29:9]) ).
cnf(t46,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_group_1(sK2)
| ~ m1_group_2(sK2,sK1)
| ~ m1_subset_1(sK3,u1_struct_0(sK1))
| ~ r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2))
| v3_struct_0(sK1)
| r1_rlvect_1(sK2,sK3) ),
inference(extension,[status(thm),parent(t2:4)],[f_46_3]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t2:4]) ).
cnf(t48,plain,
$false,
inference(reduction,[status(thm),parent(t46:2)],[t46:2,t1:1]) ).
cnf(t49,plain,
r2_hidden(sK3,k1_funct_1(k1_latsubgr(sK1),sK2)),
inference(extension,[status(thm),parent(t46:3)],[f_1_17]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t46:3]) ).
cnf(t51,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(extension,[status(thm),parent(t46:4)],[f_1_15]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t46:4]) ).
cnf(t53,plain,
m1_group_2(sK2,sK1),
inference(extension,[status(thm),parent(t46:5)],[f_1_14]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t46:5]) ).
cnf(t55,plain,
v1_group_1(sK2),
inference(extension,[status(thm),parent(t46:6)],[f_1_13]) ).
cnf(t56,plain,
$false,
inference(connection,[status(thm),parent(t55:1)],[t55:1,t46:6]) ).
cnf(t57,plain,
l1_group_1(sK1),
inference(extension,[status(thm),parent(t46:7)],[f_1_12]) ).
cnf(t58,plain,
$false,
inference(connection,[status(thm),parent(t57:1)],[t57:1,t46:7]) ).
cnf(t59,plain,
v4_group_1(sK1),
inference(extension,[status(thm),parent(t46:8)],[f_1_11]) ).
cnf(t60,plain,
$false,
inference(connection,[status(thm),parent(t59:1)],[t59:1,t46:8]) ).
cnf(t61,plain,
v3_group_1(sK1),
inference(extension,[status(thm),parent(t46:9)],[f_1_10]) ).
cnf(t62,plain,
$false,
inference(connection,[status(thm),parent(t61:1)],[t61:1,t46:9]) ).
cnf(t63,plain,
m1_group_2(sK2,sK1),
inference(extension,[status(thm),parent(t2:5)],[f_1_14]) ).
cnf(t64,plain,
$false,
inference(connection,[status(thm),parent(t63:1)],[t63:1,t2:5]) ).
cnf(t65,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(extension,[status(thm),parent(t2:6)],[f_1_16]) ).
cnf(t66,plain,
$false,
inference(connection,[status(thm),parent(t65:1)],[t65:1,t2:6]) ).
cnf(t67,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(extension,[status(thm),parent(t2:7)],[f_1_15]) ).
cnf(t68,plain,
$false,
inference(connection,[status(thm),parent(t67:1)],[t67:1,t2:7]) ).
cnf(t69,plain,
l1_group_1(sK1),
inference(extension,[status(thm),parent(t2:8)],[f_1_12]) ).
cnf(t70,plain,
$false,
inference(connection,[status(thm),parent(t69:1)],[t69:1,t2:8]) ).
cnf(t71,plain,
v4_group_1(sK1),
inference(extension,[status(thm),parent(t2:9)],[f_1_11]) ).
cnf(t72,plain,
$false,
inference(connection,[status(thm),parent(t71:1)],[t71:1,t2:9]) ).
cnf(t73,plain,
v3_group_1(sK1),
inference(extension,[status(thm),parent(t2:10)],[f_1_10]) ).
cnf(t74,plain,
$false,
inference(connection,[status(thm),parent(t73:1)],[t73:1,t2:10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP643+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 10:07:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 2.45/2.79 % SZS status Theorem for theBenchmark
% 2.45/2.79 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------