%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP618+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 07:30:30 AM UTC 2026
% Result : Theorem 37.77s 10.86s
% Output : CNFRefutation 37.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 3
% Syntax : Number of formulae : 130 ( 16 unt; 0 def)
% Number of atoms : 581 ( 0 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 711 ( 260 ~; 372 |; 55 &)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 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 : 124 ( 0 sgn 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l1_autgroup,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) )
=> v1_group_3(B,A) ) ) ),
file('theBenchmark.p',l1_autgroup) ).
fof(l2_autgroup,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( v1_group_3(B,A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) ) ) ) ),
file('theBenchmark.p',l2_autgroup) ).
fof(t1_autgroup,conjecture,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) )
<=> v1_group_3(B,A) ) ) ),
file('theBenchmark.p',t1_autgroup) ).
fof(t1_autgroup_neg,negated_conjecture,
~ ! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( m1_subset_1(D,u1_struct_0(B))
=> r1_rlvect_1(B,k2_group_3(A,D,C)) ) ) )
<=> v1_group_3(B,A) ) ) ),
inference(assume_negation,[status(cth)],[t1_autgroup]) ).
fof(nnf_58,plain,
! [A] :
( ! [B] :
( v1_group_3(B,A)
| ? [C] :
( ? [D] :
( ~ r1_rlvect_1(B,k2_group_3(A,D,C))
& m1_subset_1(D,u1_struct_0(B))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_group_2(B,A) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| ~ v1_group_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[l1_autgroup]) ).
fof(sk_l1_autgroup_sk,plain,
! [A] :
( ! [B] :
( v1_group_3(B,A)
| ( ~ r1_rlvect_1(B,k2_group_3(A,sK1(A,B),sK0(A,B)))
& m1_subset_1(sK1(A,B),u1_struct_0(B))
& m1_subset_1(sK1(A,B),u1_struct_0(A))
& m1_subset_1(sK0(A,B),u1_struct_0(A)) )
| ~ m1_group_2(B,A) )
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| ~ v1_group_1(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(C,sK0(A,B)),skolemize(D,sK1(A,B))],[nnf_58]) ).
fof(sk_l1_autgroup,plain,
( ! [VAR_0,VAR_1] :
( v1_group_3(VAR_1,VAR_0)
| ~ r1_rlvect_1(VAR_1,k2_group_3(VAR_0,sK1(VAR_0,VAR_1),sK0(VAR_0,VAR_1)))
| ~ m1_group_2(VAR_1,VAR_0)
| ~ l1_group_1(VAR_0)
| ~ v4_group_1(VAR_0)
| ~ v3_group_1(VAR_0)
| ~ v1_group_1(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1] :
( v1_group_3(VAR_1,VAR_0)
| m1_subset_1(sK1(VAR_0,VAR_1),u1_struct_0(VAR_1))
| ~ m1_group_2(VAR_1,VAR_0)
| ~ l1_group_1(VAR_0)
| ~ v4_group_1(VAR_0)
| ~ v3_group_1(VAR_0)
| ~ v1_group_1(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1] :
( v1_group_3(VAR_1,VAR_0)
| m1_subset_1(sK1(VAR_0,VAR_1),u1_struct_0(VAR_0))
| ~ m1_group_2(VAR_1,VAR_0)
| ~ l1_group_1(VAR_0)
| ~ v4_group_1(VAR_0)
| ~ v3_group_1(VAR_0)
| ~ v1_group_1(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1] :
( v1_group_3(VAR_1,VAR_0)
| m1_subset_1(sK0(VAR_0,VAR_1),u1_struct_0(VAR_0))
| ~ m1_group_2(VAR_1,VAR_0)
| ~ l1_group_1(VAR_0)
| ~ v4_group_1(VAR_0)
| ~ v3_group_1(VAR_0)
| ~ v1_group_1(VAR_0)
| v3_struct_0(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_l1_autgroup_sk]) ).
cnf(c_69,plain,
( v1_group_3(B,A)
| m1_subset_1(sK0(A,B),u1_struct_0(A))
| ~ m1_group_2(B,A)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| ~ v1_group_1(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_l1_autgroup]) ).
cnf(c_70,plain,
( v1_group_3(B,A)
| m1_subset_1(sK1(A,B),u1_struct_0(A))
| ~ m1_group_2(B,A)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| ~ v1_group_1(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_l1_autgroup]) ).
cnf(c_71,plain,
( v1_group_3(B,A)
| m1_subset_1(sK1(A,B),u1_struct_0(B))
| ~ m1_group_2(B,A)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| ~ v1_group_1(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_l1_autgroup]) ).
cnf(c_72,plain,
( v1_group_3(B,A)
| ~ r1_rlvect_1(B,k2_group_3(A,sK1(A,B),sK0(A,B)))
| ~ m1_group_2(B,A)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| ~ v1_group_1(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_l1_autgroup]) ).
cnf(c_73,plain,
( r1_rlvect_1(B,k2_group_3(A,D,C))
| ~ m1_subset_1(D,u1_struct_0(B))
| ~ m1_subset_1(D,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ v1_group_3(B,A)
| ~ m1_group_2(B,A)
| ~ l1_group_1(A)
| ~ v4_group_1(A)
| ~ v3_group_1(A)
| ~ v1_group_1(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[l2_autgroup]) ).
fof(nnf_60,plain,
? [A] :
( ? [B] :
( ( ~ v1_group_3(B,A)
| ? [C] :
( ? [D] :
( ~ r1_rlvect_1(B,k2_group_3(A,D,C))
& m1_subset_1(D,u1_struct_0(B))
& m1_subset_1(D,u1_struct_0(A)) )
& m1_subset_1(C,u1_struct_0(A)) ) )
& ( v1_group_3(B,A)
| ! [X0] :
( ! [X1] :
( r1_rlvect_1(B,k2_group_3(A,X1,X0))
| ~ m1_subset_1(X1,u1_struct_0(B))
| ~ m1_subset_1(X1,u1_struct_0(A)) )
| ~ m1_subset_1(X0,u1_struct_0(A)) ) )
& m1_group_2(B,A) )
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t1_autgroup_neg]) ).
fof(sk_t1_autgroup_neg_sk,plain,
( ( ~ v1_group_3(sK3,sK2)
| ( ~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4))
& m1_subset_1(sK5,u1_struct_0(sK3))
& m1_subset_1(sK5,u1_struct_0(sK2))
& m1_subset_1(sK4,u1_struct_0(sK2)) ) )
& ( v1_group_3(sK3,sK2)
| ! [X0] :
( ! [X1] :
( r1_rlvect_1(sK3,k2_group_3(sK2,X1,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| ~ m1_subset_1(X1,u1_struct_0(sK2)) )
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ) )
& m1_group_2(sK3,sK2)
& l1_group_1(sK2)
& v4_group_1(sK2)
& v3_group_1(sK2)
& v1_group_1(sK2)
& ~ v3_struct_0(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(A,sK2),skolemize(B,sK3),skolemize(C,sK4),skolemize(D,sK5)],[nnf_60]) ).
fof(sk_t1_autgroup_neg,plain,
( ( ~ v1_group_3(sK3,sK2)
| ~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4)) )
& ( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK3)) )
& ( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK2)) )
& ( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK4,u1_struct_0(sK2)) )
& ! [VAR_0,VAR_1] :
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,VAR_1,VAR_0))
| ~ m1_subset_1(VAR_1,u1_struct_0(sK3))
| ~ m1_subset_1(VAR_1,u1_struct_0(sK2))
| ~ m1_subset_1(VAR_0,u1_struct_0(sK2)) )
& m1_group_2(sK3,sK2)
& l1_group_1(sK2)
& v4_group_1(sK2)
& v3_group_1(sK2)
& v1_group_1(sK2)
& ~ v3_struct_0(sK2) ),
inference(cnf_transformation,[status(thm)],[sk_t1_autgroup_neg_sk]) ).
cnf(c_74,negated_conjecture,
v1_group_1(sK2),
inference(split_conjunct,[status(thm)],[sk_t1_autgroup_neg]) ).
cnf(c_283,negated_conjecture,
~ v3_struct_0(sK2),
inference(split_conjunct,[status(thm)],[sk_t1_autgroup_neg]) ).
cnf(c_284,negated_conjecture,
v3_group_1(sK2),
inference(split_conjunct,[status(thm)],[sk_t1_autgroup_neg]) ).
cnf(c_285,negated_conjecture,
v4_group_1(sK2),
inference(split_conjunct,[status(thm)],[sk_t1_autgroup_neg]) ).
cnf(c_286,negated_conjecture,
l1_group_1(sK2),
inference(split_conjunct,[status(thm)],[sk_t1_autgroup_neg]) ).
cnf(c_287,negated_conjecture,
m1_group_2(sK3,sK2),
inference(split_conjunct,[status(thm)],[sk_t1_autgroup_neg]) ).
cnf(c_288,negated_conjecture,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,B,A))
| ~ m1_subset_1(B,u1_struct_0(sK3))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2)) ),
inference(split_conjunct,[status(thm)],[sk_t1_autgroup_neg]) ).
cnf(c_289,negated_conjecture,
( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(split_conjunct,[status(thm)],[sk_t1_autgroup_neg]) ).
cnf(c_290,negated_conjecture,
( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK2)) ),
inference(split_conjunct,[status(thm)],[sk_t1_autgroup_neg]) ).
cnf(c_291,negated_conjecture,
( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(split_conjunct,[status(thm)],[sk_t1_autgroup_neg]) ).
cnf(c_292,negated_conjecture,
( ~ v1_group_3(sK3,sK2)
| ~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4)) ),
inference(split_conjunct,[status(thm)],[sk_t1_autgroup_neg]) ).
cnf(c_341,negated_conjecture,
( r1_rlvect_1(A,k2_group_3(sK2,C,B))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(sK2))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ v1_group_3(A,sK2)
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2) ),
inference(resolve,[status(thm)],[c_74,c_73]) ).
cnf(c_19121,negated_conjecture,
( r1_rlvect_1(A,k2_group_3(sK2,C,B))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(sK2))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ v1_group_3(A,sK2)
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2) ),
inference(resolve,[status(thm)],[c_283,c_341]) ).
cnf(c_19122,negated_conjecture,
( r1_rlvect_1(A,k2_group_3(sK2,C,B))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(sK2))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ v1_group_3(A,sK2)
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2) ),
inference(resolve,[status(thm)],[c_284,c_19121]) ).
cnf(c_19123,negated_conjecture,
( r1_rlvect_1(A,k2_group_3(sK2,C,B))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(sK2))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ v1_group_3(A,sK2)
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2) ),
inference(resolve,[status(thm)],[c_285,c_19122]) ).
cnf(c_342,negated_conjecture,
( r1_rlvect_1(A,k2_group_3(sK2,C,B))
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(C,u1_struct_0(sK2))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ v1_group_3(A,sK2)
| ~ m1_group_2(A,sK2) ),
inference(resolve,[status(thm)],[c_286,c_19123]) ).
cnf(c_343,negated_conjecture,
( v1_group_3(A,sK2)
| ~ r1_rlvect_1(A,k2_group_3(sK2,sK1(sK2,A),sK0(sK2,A)))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2) ),
inference(resolve,[status(thm)],[c_74,c_72]) ).
cnf(c_19124,negated_conjecture,
( v1_group_3(A,sK2)
| ~ r1_rlvect_1(A,k2_group_3(sK2,sK1(sK2,A),sK0(sK2,A)))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2) ),
inference(resolve,[status(thm)],[c_283,c_343]) ).
cnf(c_19125,negated_conjecture,
( v1_group_3(A,sK2)
| ~ r1_rlvect_1(A,k2_group_3(sK2,sK1(sK2,A),sK0(sK2,A)))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2) ),
inference(resolve,[status(thm)],[c_284,c_19124]) ).
cnf(c_19126,negated_conjecture,
( v1_group_3(A,sK2)
| ~ r1_rlvect_1(A,k2_group_3(sK2,sK1(sK2,A),sK0(sK2,A)))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2) ),
inference(resolve,[status(thm)],[c_285,c_19125]) ).
cnf(c_344,negated_conjecture,
( v1_group_3(A,sK2)
| ~ r1_rlvect_1(A,k2_group_3(sK2,sK1(sK2,A),sK0(sK2,A)))
| ~ m1_group_2(A,sK2) ),
inference(resolve,[status(thm)],[c_286,c_19126]) ).
cnf(c_345,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK1(sK2,A),u1_struct_0(A))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2) ),
inference(resolve,[status(thm)],[c_74,c_71]) ).
cnf(c_19127,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK1(sK2,A),u1_struct_0(A))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2) ),
inference(resolve,[status(thm)],[c_283,c_345]) ).
cnf(c_19128,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK1(sK2,A),u1_struct_0(A))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2) ),
inference(resolve,[status(thm)],[c_284,c_19127]) ).
cnf(c_19129,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK1(sK2,A),u1_struct_0(A))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2) ),
inference(resolve,[status(thm)],[c_285,c_19128]) ).
cnf(c_346,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK1(sK2,A),u1_struct_0(A))
| ~ m1_group_2(A,sK2) ),
inference(resolve,[status(thm)],[c_286,c_19129]) ).
cnf(c_347,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK1(sK2,A),u1_struct_0(sK2))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2) ),
inference(resolve,[status(thm)],[c_74,c_70]) ).
cnf(c_19130,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK1(sK2,A),u1_struct_0(sK2))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2) ),
inference(resolve,[status(thm)],[c_283,c_347]) ).
cnf(c_19131,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK1(sK2,A),u1_struct_0(sK2))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2) ),
inference(resolve,[status(thm)],[c_284,c_19130]) ).
cnf(c_19132,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK1(sK2,A),u1_struct_0(sK2))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2) ),
inference(resolve,[status(thm)],[c_285,c_19131]) ).
cnf(c_348,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK1(sK2,A),u1_struct_0(sK2))
| ~ m1_group_2(A,sK2) ),
inference(resolve,[status(thm)],[c_286,c_19132]) ).
cnf(c_349,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK0(sK2,A),u1_struct_0(sK2))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2)
| v3_struct_0(sK2) ),
inference(resolve,[status(thm)],[c_74,c_69]) ).
cnf(c_19133,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK0(sK2,A),u1_struct_0(sK2))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ v3_group_1(sK2) ),
inference(resolve,[status(thm)],[c_283,c_349]) ).
cnf(c_19134,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK0(sK2,A),u1_struct_0(sK2))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2)
| ~ v4_group_1(sK2) ),
inference(resolve,[status(thm)],[c_284,c_19133]) ).
cnf(c_19135,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK0(sK2,A),u1_struct_0(sK2))
| ~ m1_group_2(A,sK2)
| ~ l1_group_1(sK2) ),
inference(resolve,[status(thm)],[c_285,c_19134]) ).
cnf(c_350,negated_conjecture,
( v1_group_3(A,sK2)
| m1_subset_1(sK0(sK2,A),u1_struct_0(sK2))
| ~ m1_group_2(A,sK2) ),
inference(resolve,[status(thm)],[c_286,c_19135]) ).
cnf(c_480,plain,
( v1_group_3(sK3,sK2)
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_346,c_287]) ).
cnf(c_481,plain,
( v1_group_3(sK3,sK2)
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_348,c_287]) ).
cnf(c_482,plain,
( v1_group_3(sK3,sK2)
| m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_350,c_287]) ).
cnf(c_19136,negated_conjecture,
( r1_rlvect_1(sK3,k2_group_3(sK2,B,A))
| ~ m1_subset_1(B,u1_struct_0(sK3))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| ~ m1_group_2(sK3,sK2)
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_480,c_342]) ).
cnf(c_1002,negated_conjecture,
( r1_rlvect_1(sK3,k2_group_3(sK2,B,A))
| ~ m1_subset_1(B,u1_struct_0(sK3))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_287,c_19136]) ).
cnf(c_1003,plain,
( m1_subset_1(sK5,u1_struct_0(sK3))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_480,c_291]) ).
cnf(c_1004,plain,
( m1_subset_1(sK5,u1_struct_0(sK2))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_480,c_290]) ).
cnf(c_1005,plain,
( m1_subset_1(sK4,u1_struct_0(sK2))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_480,c_289]) ).
cnf(c_19137,negated_conjecture,
( r1_rlvect_1(sK3,k2_group_3(sK2,B,A))
| ~ m1_subset_1(B,u1_struct_0(sK3))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| ~ m1_group_2(sK3,sK2)
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_481,c_342]) ).
cnf(c_1014,negated_conjecture,
( r1_rlvect_1(sK3,k2_group_3(sK2,B,A))
| ~ m1_subset_1(B,u1_struct_0(sK3))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_287,c_19137]) ).
cnf(c_1015,plain,
( m1_subset_1(sK5,u1_struct_0(sK3))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_481,c_291]) ).
cnf(c_1016,plain,
( m1_subset_1(sK5,u1_struct_0(sK2))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_481,c_290]) ).
cnf(c_1017,plain,
( m1_subset_1(sK4,u1_struct_0(sK2))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_481,c_289]) ).
cnf(c_19138,negated_conjecture,
( r1_rlvect_1(sK3,k2_group_3(sK2,B,A))
| ~ m1_subset_1(B,u1_struct_0(sK3))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| ~ m1_group_2(sK3,sK2)
| m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_482,c_342]) ).
cnf(c_1019,negated_conjecture,
( r1_rlvect_1(sK3,k2_group_3(sK2,B,A))
| ~ m1_subset_1(B,u1_struct_0(sK3))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_287,c_19138]) ).
cnf(c_1020,plain,
( m1_subset_1(sK5,u1_struct_0(sK3))
| m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_482,c_291]) ).
cnf(c_1021,plain,
( m1_subset_1(sK5,u1_struct_0(sK2))
| m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_482,c_290]) ).
cnf(c_1022,plain,
( m1_subset_1(sK4,u1_struct_0(sK2))
| m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_482,c_289]) ).
cnf(c_1209,plain,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),A))
| ~ m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_1003,c_288]) ).
cnf(c_1245,plain,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),A))
| ~ m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK5,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_1004,c_288]) ).
cnf(c_1254,plain,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),A))
| ~ m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_1005,c_288]) ).
cnf(c_19139,plain,
( m1_subset_1(sK5,u1_struct_0(sK3))
| v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),A))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_1209,c_1015]) ).
cnf(c_3414,plain,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),A))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(copy,[status(thm)],[c_19139]) ).
cnf(c_19140,plain,
( m1_subset_1(sK5,u1_struct_0(sK2))
| v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),A))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK5,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_1245,c_1016]) ).
cnf(c_3716,plain,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),A))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK5,u1_struct_0(sK2)) ),
inference(copy,[status(thm)],[c_19140]) ).
cnf(c_19141,plain,
( m1_subset_1(sK4,u1_struct_0(sK2))
| v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),A))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_1254,c_1017]) ).
cnf(c_3814,plain,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),A))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(copy,[status(thm)],[c_19141]) ).
cnf(c_19142,plain,
( m1_subset_1(sK5,u1_struct_0(sK3))
| v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),sK0(sK2,sK3)))
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_3414,c_1020]) ).
cnf(c_12714,plain,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),sK0(sK2,sK3)))
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(copy,[status(thm)],[c_19142]) ).
cnf(c_19143,negated_conjecture,
( v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_12714,c_344]) ).
cnf(c_19144,negated_conjecture,
( ~ m1_group_2(sK3,sK2)
| v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(copy,[status(thm)],[c_19143]) ).
cnf(c_12715,negated_conjecture,
( v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_287,c_19144]) ).
cnf(c_19145,negated_conjecture,
( m1_subset_1(sK5,u1_struct_0(sK3))
| m1_subset_1(sK5,u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_12715,c_291]) ).
cnf(c_12720,negated_conjecture,
m1_subset_1(sK5,u1_struct_0(sK3)),
inference(copy,[status(thm)],[c_19145]) ).
cnf(c_12737,plain,
( r1_rlvect_1(sK3,k2_group_3(sK2,sK5,A))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_12720,c_1019]) ).
cnf(c_12739,plain,
( r1_rlvect_1(sK3,k2_group_3(sK2,sK5,A))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_12720,c_1014]) ).
cnf(c_12741,plain,
( r1_rlvect_1(sK3,k2_group_3(sK2,sK5,A))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_12720,c_1002]) ).
cnf(c_19146,plain,
( m1_subset_1(sK5,u1_struct_0(sK2))
| v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),sK0(sK2,sK3)))
| m1_subset_1(sK5,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_3716,c_1021]) ).
cnf(c_13744,plain,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),sK0(sK2,sK3)))
| m1_subset_1(sK5,u1_struct_0(sK2)) ),
inference(copy,[status(thm)],[c_19146]) ).
cnf(c_19147,negated_conjecture,
( v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_13744,c_344]) ).
cnf(c_19148,negated_conjecture,
( ~ m1_group_2(sK3,sK2)
| v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK2)) ),
inference(copy,[status(thm)],[c_19147]) ).
cnf(c_13745,negated_conjecture,
( v1_group_3(sK3,sK2)
| m1_subset_1(sK5,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_287,c_19148]) ).
cnf(c_19149,negated_conjecture,
( m1_subset_1(sK5,u1_struct_0(sK2))
| m1_subset_1(sK5,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_13745,c_290]) ).
cnf(c_13750,negated_conjecture,
m1_subset_1(sK5,u1_struct_0(sK2)),
inference(copy,[status(thm)],[c_19149]) ).
cnf(c_13787,plain,
( r1_rlvect_1(sK3,k2_group_3(sK2,sK5,A))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_13750,c_12741]) ).
cnf(c_13789,plain,
( r1_rlvect_1(sK3,k2_group_3(sK2,sK5,A))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_13750,c_12739]) ).
cnf(c_13791,plain,
( r1_rlvect_1(sK3,k2_group_3(sK2,sK5,A))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_13750,c_12737]) ).
cnf(c_19150,plain,
( m1_subset_1(sK4,u1_struct_0(sK2))
| v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),sK0(sK2,sK3)))
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_3814,c_1022]) ).
cnf(c_15688,plain,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),sK0(sK2,sK3)))
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(copy,[status(thm)],[c_19150]) ).
cnf(c_19151,negated_conjecture,
( v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| v1_group_3(sK3,sK2)
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_15688,c_344]) ).
cnf(c_19152,negated_conjecture,
( ~ m1_group_2(sK3,sK2)
| v1_group_3(sK3,sK2)
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(copy,[status(thm)],[c_19151]) ).
cnf(c_15689,negated_conjecture,
( v1_group_3(sK3,sK2)
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_287,c_19152]) ).
cnf(c_19153,negated_conjecture,
( m1_subset_1(sK4,u1_struct_0(sK2))
| m1_subset_1(sK4,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_15689,c_289]) ).
cnf(c_15693,negated_conjecture,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(copy,[status(thm)],[c_19153]) ).
cnf(c_15698,plain,
( r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4))
| m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_15693,c_13791]) ).
cnf(c_15699,plain,
( r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_15693,c_13789]) ).
cnf(c_15700,plain,
( r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_15693,c_13787]) ).
cnf(c_15914,plain,
( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_15698,c_292]) ).
cnf(c_19154,plain,
( m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2))
| m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_15914,c_482]) ).
cnf(c_15915,plain,
m1_subset_1(sK0(sK2,sK3),u1_struct_0(sK2)),
inference(copy,[status(thm)],[c_19154]) ).
cnf(c_15958,plain,
( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_15699,c_292]) ).
cnf(c_19155,plain,
( m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_15958,c_481]) ).
cnf(c_15959,plain,
m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2)),
inference(copy,[status(thm)],[c_19155]) ).
cnf(c_15997,plain,
( ~ v1_group_3(sK3,sK2)
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_15700,c_292]) ).
cnf(c_19156,plain,
( m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3))
| m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)) ),
inference(resolve,[status(thm)],[c_15997,c_480]) ).
cnf(c_15998,plain,
m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK3)),
inference(copy,[status(thm)],[c_19156]) ).
cnf(c_19157,negated_conjecture,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),A))
| ~ m1_subset_1(sK1(sK2,sK3),u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_15998,c_288]) ).
cnf(c_16015,negated_conjecture,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),A))
| ~ m1_subset_1(A,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_15959,c_19157]) ).
cnf(c_18845,plain,
( v1_group_3(sK3,sK2)
| r1_rlvect_1(sK3,k2_group_3(sK2,sK1(sK2,sK3),sK0(sK2,sK3))) ),
inference(resolve,[status(thm)],[c_16015,c_15915]) ).
cnf(c_19158,negated_conjecture,
( v1_group_3(sK3,sK2)
| ~ m1_group_2(sK3,sK2)
| v1_group_3(sK3,sK2) ),
inference(resolve,[status(thm)],[c_18845,c_344]) ).
cnf(c_19159,negated_conjecture,
( ~ m1_group_2(sK3,sK2)
| v1_group_3(sK3,sK2) ),
inference(copy,[status(thm)],[c_19158]) ).
cnf(c_18893,negated_conjecture,
v1_group_3(sK3,sK2),
inference(resolve,[status(thm)],[c_287,c_19159]) ).
cnf(c_18894,negated_conjecture,
~ r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4)),
inference(resolve,[status(thm)],[c_18893,c_292]) ).
cnf(c_19160,negated_conjecture,
( r1_rlvect_1(sK3,k2_group_3(sK2,B,A))
| ~ m1_subset_1(B,u1_struct_0(sK3))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2))
| ~ m1_group_2(sK3,sK2) ),
inference(resolve,[status(thm)],[c_18893,c_342]) ).
cnf(c_18896,negated_conjecture,
( r1_rlvect_1(sK3,k2_group_3(sK2,B,A))
| ~ m1_subset_1(B,u1_struct_0(sK3))
| ~ m1_subset_1(B,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_287,c_19160]) ).
cnf(c_19161,plain,
( r1_rlvect_1(sK3,k2_group_3(sK2,sK5,A))
| ~ m1_subset_1(sK5,u1_struct_0(sK2))
| ~ m1_subset_1(A,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_18896,c_12720]) ).
cnf(c_19047,plain,
( r1_rlvect_1(sK3,k2_group_3(sK2,sK5,A))
| ~ m1_subset_1(A,u1_struct_0(sK2)) ),
inference(resolve,[status(thm)],[c_13750,c_19161]) ).
cnf(c_19162,plain,
r1_rlvect_1(sK3,k2_group_3(sK2,sK5,sK4)),
inference(resolve,[status(thm)],[c_19047,c_15693]) ).
cnf(c_19120,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_18894,c_19162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP618+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n015.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 : Fri Sep 25 15:06:02 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 1681101 was started by sandbox2 on n015,
% 0.10/5.37 % Fri Sep 25 15:06:02 2026
% 0.10/5.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/5.39
% 0.10/5.39 % From the command line: assign(max_seconds, 300).
% 37.77/10.86
% 37.77/10.86 % given #500 (T,wt=21): 715 v4_group_1(f6(f6(c8))). [back_unit_del(600),unit_del(a,710)].
% 37.77/10.86
% 37.77/10.86 % given #1000 (W,wt=23): 2603 v1_xboole_0(f3(f6(c13))) | -v1_xboole_0(u1_struct_0(f6(c13))). [resolve(878,a,766,b)].
% 37.77/10.86
% 37.77/10.86 % given #1500 (W,wt=27): 2864 g1_group_1(u1_struct_0(c13),u1_group_1(c13)) != c12 | u1_struct_0(c13) = u1_struct_0(c12). [para(300(a,1),962(a,2))].
% 37.77/10.86
% 37.77/10.86 % given #2000 (T,wt=29): 2857 f7(c13) != g1_group_1(u1_struct_0(c13),u1_group_1(c13)) | u1_group_1(f7(c13)) = u1_group_1(c13). [para(853(a,1),961(a,2)),flip(a),flip(b)].
% 37.77/10.86
% 37.77/10.86 % given #2500 (T,wt=28): 6939 v3_struct_0(g1_group_1(c1,f1(k2_zfmisc_1(c4,k1_xboole_0),k1_xboole_0))). [para(561(a,1),6519(a,1,1))].
% 37.77/10.86
% 37.77/10.86 % given #3000 (W,wt=32): 5529 f7(f8(c8)) != c12 | u1_struct_0(f7(f8(c8))) = u1_struct_0(c12). [para(1478(a,1),2630(a,1)),flip(b)].
% 37.77/10.86
% 37.77/10.86 % given #3500 (T,wt=29): 10811 v1_xboole_0(k1_zfmisc_1(f9(k1_zfmisc_1(c4)))) | r2_hidden(c5,k1_zfmisc_1(c1)). [para(1852(a,1),10666(b,2,1))].
% 37.77/10.86
% 37.77/10.86 % given #4000 (W,wt=33): 9312 v1_xboole_0(k1_zfmisc_1(u1_struct_0(f8(c13)))) | -r2_hidden(k1_zfmisc_1(u1_struct_0(f8(c13))),f3(f8(c13))). [resolve(2283,b,245,b)].
% 37.77/10.86
% 37.77/10.86 % given #4500 (W,wt=27): 15963 m1_subset_1(k2_group_3(c13,f11(c13,c14),k2_group_3(c13,c16,c16)),u1_struct_0(c13)). [resolve(15959,a,14210,a)].
% 37.77/10.86
% 37.77/10.86 % SZS status Theorem for theBenchmark
% 37.77/10.86
% 37.77/10.86 % Proof 1 at 4.53 (+ 0.64) seconds.
% 37.77/10.86 % Length of proof is 81.
% 37.77/10.86 % Level of proof is 21.
% 37.77/10.86 % Maximum clause weight is 40.000.
% 37.77/10.86 % Given clauses 4695.
% 37.77/10.86
% 37.77/10.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------