%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP631+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 : 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 : Sun Sep 27 07:30:34 AM UTC 2026
% Result : Theorem 135.09s 17.68s
% Output : CNFRefutation 135.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 129 ( 30 unt; 0 def)
% Number of atoms : 454 ( 74 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 542 ( 217 ~; 253 |; 55 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-6 aty)
% Number of variables : 163 ( 2 sgn 37 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc1_funct_2,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( ( v1_partfun1(C,A,B)
& v1_funct_1(C) )
=> ( v1_funct_2(C,A,B)
& v1_funct_1(C) ) ) ),
file('theBenchmark.p',cc1_funct_2) ).
fof(dt_k4_autgroup,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) )
=> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ),
file('theBenchmark.p',dt_k4_autgroup) ).
fof(dt_k6_autgroup,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) )
=> m2_fraenkel(k6_autgroup(A,B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) ),
file('theBenchmark.p',dt_k6_autgroup) ).
fof(dt_k6_partfun1,axiom,
! [A] :
( m2_relset_1(k6_partfun1(A),A,A)
& v1_partfun1(k6_partfun1(A),A,A) ),
file('theBenchmark.p',dt_k6_partfun1) ).
fof(dt_l1_group_1,axiom,
! [A] :
( l1_group_1(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l1_group_1) ).
fof(dt_m2_fraenkel,axiom,
! [A,B,C] :
( ( m1_fraenkel(C,A,B)
& ~ v1_xboole_0(B) )
=> ! [D] :
( m2_fraenkel(D,A,B,C)
=> ( m2_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D) ) ) ),
file('theBenchmark.p',dt_m2_fraenkel) ).
fof(fc1_struct_0,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('theBenchmark.p',fc1_struct_0) ).
fof(fc2_partfun1,axiom,
! [A] :
( v8_relat_2(k6_relat_1(A))
& v4_relat_2(k6_relat_1(A))
& v3_relat_2(k6_relat_1(A))
& v1_relat_2(k6_relat_1(A))
& v1_funct_1(k6_relat_1(A))
& v1_relat_1(k6_relat_1(A)) ),
file('theBenchmark.p',fc2_partfun1) ).
fof(redefinition_k6_partfun1,axiom,
! [A] : k6_partfun1(A) = k6_relat_1(A),
file('theBenchmark.p',redefinition_k6_partfun1) ).
fof(redefinition_k7_funct_2,axiom,
! [A,B,C,D,E] :
( ( m1_relset_1(E,B,C)
& v1_funct_2(E,B,C)
& v1_funct_1(E)
& m1_relset_1(D,A,B)
& v1_funct_2(D,A,B)
& v1_funct_1(D)
& ~ v1_xboole_0(B) )
=> k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E) ),
file('theBenchmark.p',redefinition_k7_funct_2) ).
fof(redefinition_k7_relset_1,axiom,
! [A,B,C,D,E,F] :
( ( m1_relset_1(F,C,D)
& m1_relset_1(E,A,B) )
=> k7_relset_1(A,B,C,D,E,F) = k5_relat_1(E,F) ),
file('theBenchmark.p',redefinition_k7_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('theBenchmark.p',redefinition_m2_relset_1) ).
fof(t23_funct_2,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C
& k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C ) ),
file('theBenchmark.p',t23_funct_2) ).
fof(t24_autgroup,axiom,
! [A] :
( ( l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& v1_group_1(A)
& ~ v3_struct_0(A) )
=> k6_autgroup(A,k2_group_1(A)) = k6_partfun1(u1_struct_0(A)) ),
file('theBenchmark.p',t24_autgroup) ).
fof(t29_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_subset_1(B,u1_struct_0(A))
=> ( k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,k2_group_1(A))) = k6_autgroup(A,B)
& k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A)),k6_autgroup(A,B)) = k6_autgroup(A,B) ) ) ),
file('theBenchmark.p',t29_autgroup) ).
fof(t29_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_subset_1(B,u1_struct_0(A))
=> ( k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,k2_group_1(A))) = k6_autgroup(A,B)
& k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A)),k6_autgroup(A,B)) = k6_autgroup(A,B) ) ) ),
inference(assume_negation,[status(cth)],[t29_autgroup]) ).
cnf(c_84,plain,
( m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(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)],[dt_k4_autgroup]) ).
cnf(c_85,plain,
( m2_fraenkel(k6_autgroup(A,B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A))
| ~ m1_subset_1(B,u1_struct_0(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)],[dt_k6_autgroup]) ).
cnf(c_90,plain,
( k6_partfun1(u1_struct_0(A)) = k6_autgroup(A,k2_group_1(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)],[t24_autgroup]) ).
fof(nnf_81,plain,
? [A] :
( ? [B] :
( ( k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,k2_group_1(A))) != k6_autgroup(A,B)
| k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A)),k6_autgroup(A,B)) != k6_autgroup(A,B) )
& m1_subset_1(B,u1_struct_0(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)],[t29_autgroup_neg]) ).
fof(sk_t29_autgroup_neg,plain,
( ( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0))) != k6_autgroup(sK0,sK1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1) )
& m1_subset_1(sK1,u1_struct_0(sK0))
& l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& v1_group_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(A,sK0),skolemize(B,sK1)],[nnf_81]) ).
cnf(c_91,negated_conjecture,
v1_group_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t29_autgroup_neg]) ).
cnf(c_117,plain,
( m2_relset_1(D,C,A)
| ~ m2_fraenkel(D,C,A,B)
| ~ m1_fraenkel(B,C,A)
| v1_xboole_0(A) ),
inference(clausify,[status(thm)],[dt_m2_fraenkel]) ).
cnf(c_118,plain,
( v1_funct_2(D,C,A)
| ~ m2_fraenkel(D,C,A,B)
| ~ m1_fraenkel(B,C,A)
| v1_xboole_0(A) ),
inference(clausify,[status(thm)],[dt_m2_fraenkel]) ).
cnf(c_119,plain,
( v1_funct_1(D)
| ~ m2_fraenkel(D,C,A,B)
| ~ m1_fraenkel(B,C,A)
| v1_xboole_0(A) ),
inference(clausify,[status(thm)],[dt_m2_fraenkel]) ).
cnf(c_130,negated_conjecture,
( m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_91,c_84]) ).
cnf(c_131,plain,
( k7_relset_1(B,C,C,C,A,k6_partfun1(C)) = A
| ~ m2_relset_1(A,B,C) ),
inference(clausify,[status(thm)],[t23_funct_2]) ).
cnf(c_137,negated_conjecture,
( m2_relset_1(A,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_130,c_117]) ).
cnf(c_138,plain,
( k7_relset_1(B,B,B,C,k6_partfun1(B),A) = A
| ~ m2_relset_1(A,B,C) ),
inference(clausify,[status(thm)],[t23_funct_2]) ).
cnf(c_140,plain,
( m1_relset_1(A,B,C)
| ~ m2_relset_1(A,B,C) ),
inference(clausify,[status(thm)],[redefinition_m2_relset_1]) ).
cnf(c_146,plain,
m2_relset_1(k6_partfun1(A),A,A),
inference(clausify,[status(thm)],[dt_k6_partfun1]) ).
cnf(c_147,plain,
( ~ v1_xboole_0(u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[fc1_struct_0]) ).
cnf(c_149,plain,
( l1_struct_0(A)
| ~ l1_group_1(A) ),
inference(clausify,[status(thm)],[dt_l1_group_1]) ).
cnf(c_164,plain,
( ~ l1_group_1(A)
| ~ v1_xboole_0(u1_struct_0(A))
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_147,c_149]) ).
cnf(c_169,negated_conjecture,
( v1_funct_1(A)
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_130,c_119]) ).
cnf(c_170,negated_conjecture,
( v1_funct_2(A,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_130,c_118]) ).
cnf(c_219,negated_conjecture,
( m2_fraenkel(k6_autgroup(sK0,A),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_91,c_85]) ).
cnf(c_220,negated_conjecture,
( k6_partfun1(u1_struct_0(sK0)) = k6_autgroup(sK0,k2_group_1(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_91,c_90]) ).
cnf(c_221,negated_conjecture,
( k6_autgroup(sK0,k2_group_1(sK0)) = k6_partfun1(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0) ),
inference(copy,[status(thm)],[c_220]) ).
cnf(c_239,negated_conjecture,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0))) != k6_autgroup(sK0,sK1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1) ),
inference(split_conjunct,[status(thm)],[sk_t29_autgroup_neg]) ).
cnf(c_240,negated_conjecture,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(split_conjunct,[status(thm)],[sk_t29_autgroup_neg]) ).
cnf(c_241,negated_conjecture,
l1_group_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t29_autgroup_neg]) ).
cnf(c_242,negated_conjecture,
v4_group_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t29_autgroup_neg]) ).
cnf(c_243,negated_conjecture,
v3_group_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t29_autgroup_neg]) ).
cnf(c_244,negated_conjecture,
~ v3_struct_0(sK0),
inference(split_conjunct,[status(thm)],[sk_t29_autgroup_neg]) ).
cnf(c_252,plain,
( k7_relset_1(B,C,E,F,A,D) = k5_relat_1(A,D)
| ~ m1_relset_1(D,E,F)
| ~ m1_relset_1(A,B,C) ),
inference(clausify,[status(thm)],[redefinition_k7_relset_1]) ).
cnf(c_253,plain,
( k5_relat_1(B,D) = k7_funct_2(C,A,E,B,D)
| ~ m1_relset_1(D,A,E)
| ~ v1_funct_2(D,A,E)
| ~ v1_funct_1(D)
| ~ m1_relset_1(B,C,A)
| ~ v1_funct_2(B,C,A)
| ~ v1_funct_1(B)
| v1_xboole_0(A) ),
inference(clausify,[status(thm)],[redefinition_k7_funct_2]) ).
cnf(c_254,plain,
( k7_funct_2(C,A,E,B,D) = k5_relat_1(B,D)
| ~ m1_relset_1(D,A,E)
| ~ v1_funct_2(D,A,E)
| ~ v1_funct_1(D)
| ~ m1_relset_1(B,C,A)
| ~ v1_funct_2(B,C,A)
| ~ v1_funct_1(B)
| v1_xboole_0(A) ),
inference(copy,[status(thm)],[c_253]) ).
cnf(c_255,plain,
k6_relat_1(A) = k6_partfun1(A),
inference(clausify,[status(thm)],[redefinition_k6_partfun1]) ).
cnf(c_298,plain,
v1_funct_1(k6_relat_1(A)),
inference(clausify,[status(thm)],[fc2_partfun1]) ).
cnf(c_299,plain,
v1_funct_1(k6_partfun1(A)),
inference(paramod,[status(thm)],[c_255,c_298]) ).
cnf(c_316,plain,
v1_partfun1(k6_partfun1(A),A,A),
inference(clausify,[status(thm)],[dt_k6_partfun1]) ).
cnf(c_325,plain,
( v1_funct_2(A,B,C)
| ~ v1_partfun1(A,B,C)
| ~ v1_funct_1(A)
| ~ m1_relset_1(A,B,C) ),
inference(clausify,[status(thm)],[cc1_funct_2]) ).
cnf(c_354,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),A,k6_partfun1(u1_struct_0(sK0))) = A ),
inference(resolve,[status(thm)],[c_131,c_137]) ).
cnf(c_6122,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),A,k6_partfun1(u1_struct_0(sK0))) = A ),
inference(resolve,[status(thm)],[c_244,c_354]) ).
cnf(c_6123,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),A,k6_partfun1(u1_struct_0(sK0))) = A ),
inference(resolve,[status(thm)],[c_243,c_6122]) ).
cnf(c_6124,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),A,k6_partfun1(u1_struct_0(sK0))) = A ),
inference(resolve,[status(thm)],[c_242,c_6123]) ).
cnf(c_355,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),A,k6_partfun1(u1_struct_0(sK0))) = A ),
inference(resolve,[status(thm)],[c_241,c_6124]) ).
cnf(c_364,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),A) = A ),
inference(resolve,[status(thm)],[c_138,c_137]) ).
cnf(c_6125,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),A) = A ),
inference(resolve,[status(thm)],[c_244,c_364]) ).
cnf(c_6126,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),A) = A ),
inference(resolve,[status(thm)],[c_243,c_6125]) ).
cnf(c_6127,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),A) = A ),
inference(resolve,[status(thm)],[c_242,c_6126]) ).
cnf(c_365,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),A) = A ),
inference(resolve,[status(thm)],[c_241,c_6127]) ).
cnf(c_376,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| m1_relset_1(A,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_140,c_137]) ).
cnf(c_6128,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| m1_relset_1(A,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_244,c_376]) ).
cnf(c_6129,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| m1_relset_1(A,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_243,c_6128]) ).
cnf(c_6130,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| m1_relset_1(A,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_242,c_6129]) ).
cnf(c_377,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| m1_relset_1(A,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_241,c_6130]) ).
cnf(c_406,plain,
m1_relset_1(k6_partfun1(A),A,A),
inference(resolve,[status(thm)],[c_146,c_140]) ).
cnf(c_6131,negated_conjecture,
( k6_autgroup(sK0,k2_group_1(sK0)) = k6_partfun1(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(resolve,[status(thm)],[c_244,c_221]) ).
cnf(c_6132,negated_conjecture,
( k6_autgroup(sK0,k2_group_1(sK0)) = k6_partfun1(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0) ),
inference(resolve,[status(thm)],[c_243,c_6131]) ).
cnf(c_6133,negated_conjecture,
( k6_autgroup(sK0,k2_group_1(sK0)) = k6_partfun1(u1_struct_0(sK0))
| ~ l1_group_1(sK0) ),
inference(resolve,[status(thm)],[c_242,c_6132]) ).
cnf(c_408,negated_conjecture,
k6_autgroup(sK0,k2_group_1(sK0)) = k6_partfun1(u1_struct_0(sK0)),
inference(resolve,[status(thm)],[c_241,c_6133]) ).
cnf(c_6134,negated_conjecture,
( m2_fraenkel(k6_autgroup(sK0,A),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(resolve,[status(thm)],[c_244,c_219]) ).
cnf(c_6135,negated_conjecture,
( m2_fraenkel(k6_autgroup(sK0,A),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0) ),
inference(resolve,[status(thm)],[c_243,c_6134]) ).
cnf(c_6136,negated_conjecture,
( m2_fraenkel(k6_autgroup(sK0,A),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(A,u1_struct_0(sK0))
| ~ l1_group_1(sK0) ),
inference(resolve,[status(thm)],[c_242,c_6135]) ).
cnf(c_409,negated_conjecture,
( m2_fraenkel(k6_autgroup(sK0,A),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(A,u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_241,c_6136]) ).
cnf(c_6137,negated_conjecture,
( v1_funct_2(A,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(resolve,[status(thm)],[c_244,c_170]) ).
cnf(c_6138,negated_conjecture,
( v1_funct_2(A,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0) ),
inference(resolve,[status(thm)],[c_243,c_6137]) ).
cnf(c_6139,negated_conjecture,
( v1_funct_2(A,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0) ),
inference(resolve,[status(thm)],[c_242,c_6138]) ).
cnf(c_414,negated_conjecture,
( v1_funct_2(A,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_241,c_6139]) ).
cnf(c_6140,negated_conjecture,
( v1_funct_1(A)
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(resolve,[status(thm)],[c_244,c_169]) ).
cnf(c_6141,negated_conjecture,
( v1_funct_1(A)
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0) ),
inference(resolve,[status(thm)],[c_243,c_6140]) ).
cnf(c_6142,negated_conjecture,
( v1_funct_1(A)
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_group_1(sK0) ),
inference(resolve,[status(thm)],[c_242,c_6141]) ).
cnf(c_415,negated_conjecture,
( v1_funct_1(A)
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_241,c_6142]) ).
cnf(c_6143,negated_conjecture,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_autgroup(sK0,k2_group_1(sK0))) != k6_autgroup(sK0,sK1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1) ),
inference(paramod,[status(thm)],[c_408,c_239]) ).
cnf(c_481,negated_conjecture,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_partfun1(u1_struct_0(sK0))) != k6_autgroup(sK0,sK1)
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) != k6_autgroup(sK0,sK1) ),
inference(paramod,[status(thm)],[c_408,c_6143]) ).
cnf(c_6144,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_241,c_164]) ).
cnf(c_485,negated_conjecture,
~ v1_xboole_0(u1_struct_0(sK0)),
inference(resolve,[status(thm)],[c_244,c_6144]) ).
cnf(c_488,negated_conjecture,
( v1_funct_1(A)
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(resolve,[status(thm)],[c_485,c_415]) ).
cnf(c_489,negated_conjecture,
( v1_funct_2(A,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(resolve,[status(thm)],[c_485,c_414]) ).
cnf(c_494,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| m1_relset_1(A,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_485,c_377]) ).
cnf(c_495,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),A) = A ),
inference(resolve,[status(thm)],[c_485,c_365]) ).
cnf(c_496,negated_conjecture,
( ~ m2_fraenkel(A,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),A,k6_partfun1(u1_struct_0(sK0))) = A ),
inference(resolve,[status(thm)],[c_485,c_355]) ).
cnf(c_6145,plain,
( v1_funct_2(k6_partfun1(A),A,A)
| ~ v1_funct_1(k6_partfun1(A))
| ~ m1_relset_1(k6_partfun1(A),A,A) ),
inference(resolve,[status(thm)],[c_325,c_316]) ).
cnf(c_6146,plain,
( v1_funct_2(k6_partfun1(A),A,A)
| ~ v1_funct_1(k6_partfun1(A)) ),
inference(resolve,[status(thm)],[c_406,c_6145]) ).
cnf(c_1034,plain,
v1_funct_2(k6_partfun1(A),A,A),
inference(resolve,[status(thm)],[c_299,c_6146]) ).
cnf(c_1684,plain,
m2_fraenkel(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(resolve,[status(thm)],[c_409,c_240]) ).
cnf(c_5604,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_partfun1(u1_struct_0(sK0))) = k6_autgroup(sK0,sK1),
inference(resolve,[status(thm)],[c_1684,c_496]) ).
cnf(c_5605,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k6_autgroup(sK0,sK1),
inference(resolve,[status(thm)],[c_1684,c_495]) ).
cnf(c_5606,plain,
m1_relset_1(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(resolve,[status(thm)],[c_1684,c_494]) ).
cnf(c_5609,plain,
v1_funct_2(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(resolve,[status(thm)],[c_1684,c_489]) ).
cnf(c_5610,plain,
v1_funct_1(k6_autgroup(sK0,sK1)),
inference(resolve,[status(thm)],[c_1684,c_488]) ).
cnf(c_6147,plain,
( k7_relset_1(D,D,B,C,k6_partfun1(D),A) = k5_relat_1(k6_partfun1(D),A)
| ~ m1_relset_1(A,B,C) ),
inference(resolve,[status(thm)],[c_252,c_406]) ).
cnf(c_6014,plain,
k7_relset_1(A,A,u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(A),k6_autgroup(sK0,sK1)) = k5_relat_1(k6_partfun1(A),k6_autgroup(sK0,sK1)),
inference(resolve,[status(thm)],[c_6147,c_5606]) ).
cnf(c_6148,plain,
( k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),B,C,k6_autgroup(sK0,sK1),A) = k5_relat_1(k6_autgroup(sK0,sK1),A)
| ~ m1_relset_1(A,B,C) ),
inference(resolve,[status(thm)],[c_252,c_5606]) ).
cnf(c_6020,plain,
k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),A,A,k6_autgroup(sK0,sK1),k6_partfun1(A)) = k5_relat_1(k6_autgroup(sK0,sK1),k6_partfun1(A)),
inference(resolve,[status(thm)],[c_6148,c_406]) ).
cnf(c_6031,plain,
k5_relat_1(k6_partfun1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k6_autgroup(sK0,sK1),
inference(paramod,[status(thm)],[c_6014,c_5605]) ).
cnf(c_6056,plain,
k5_relat_1(k6_autgroup(sK0,sK1),k6_partfun1(u1_struct_0(sK0))) = k6_autgroup(sK0,sK1),
inference(paramod,[status(thm)],[c_6020,c_5604]) ).
cnf(c_6149,plain,
( k7_funct_2(C,A,E,k6_partfun1(B),D) = k5_relat_1(k6_partfun1(B),D)
| ~ m1_relset_1(D,A,E)
| ~ v1_funct_2(D,A,E)
| ~ v1_funct_1(D)
| ~ m1_relset_1(k6_partfun1(B),C,A)
| ~ v1_funct_2(k6_partfun1(B),C,A)
| v1_xboole_0(A) ),
inference(resolve,[status(thm)],[c_254,c_299]) ).
cnf(c_6150,plain,
( k7_funct_2(A,A,C,k6_partfun1(A),B) = k5_relat_1(k6_partfun1(A),B)
| ~ m1_relset_1(B,A,C)
| ~ v1_funct_2(B,A,C)
| ~ v1_funct_1(B)
| ~ m1_relset_1(k6_partfun1(A),A,A)
| v1_xboole_0(A) ),
inference(resolve,[status(thm)],[c_6149,c_1034]) ).
cnf(c_6151,plain,
( k7_funct_2(A,A,C,k6_partfun1(A),B) = k5_relat_1(k6_partfun1(A),B)
| ~ m1_relset_1(B,A,C)
| ~ v1_funct_2(B,A,C)
| ~ v1_funct_1(B)
| v1_xboole_0(A) ),
inference(resolve,[status(thm)],[c_6150,c_406]) ).
cnf(c_6152,plain,
( k7_funct_2(A,A,B,k6_partfun1(A),k6_autgroup(sK0,sK1)) = k5_relat_1(k6_partfun1(A),k6_autgroup(sK0,sK1))
| ~ m1_relset_1(k6_autgroup(sK0,sK1),A,B)
| ~ v1_funct_2(k6_autgroup(sK0,sK1),A,B)
| v1_xboole_0(A) ),
inference(resolve,[status(thm)],[c_6151,c_5610]) ).
cnf(c_6153,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k5_relat_1(k6_partfun1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1))
| ~ m1_relset_1(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_6152,c_5609]) ).
cnf(c_6154,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k5_relat_1(k6_partfun1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_6153,c_5606]) ).
cnf(c_6155,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k6_autgroup(sK0,sK1)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(paramod,[status(thm)],[c_6031,c_6154]) ).
cnf(c_6115,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_partfun1(u1_struct_0(sK0)),k6_autgroup(sK0,sK1)) = k6_autgroup(sK0,sK1),
inference(resolve,[status(thm)],[c_485,c_6155]) ).
cnf(c_6156,plain,
( k7_funct_2(B,A,D,k6_autgroup(sK0,sK1),C) = k5_relat_1(k6_autgroup(sK0,sK1),C)
| ~ m1_relset_1(C,A,D)
| ~ v1_funct_2(C,A,D)
| ~ v1_funct_1(C)
| ~ m1_relset_1(k6_autgroup(sK0,sK1),B,A)
| ~ v1_funct_2(k6_autgroup(sK0,sK1),B,A)
| v1_xboole_0(A) ),
inference(resolve,[status(thm)],[c_254,c_5610]) ).
cnf(c_6157,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),B,k6_autgroup(sK0,sK1),A) = k5_relat_1(k6_autgroup(sK0,sK1),A)
| ~ m1_relset_1(A,u1_struct_0(sK0),B)
| ~ v1_funct_2(A,u1_struct_0(sK0),B)
| ~ v1_funct_1(A)
| ~ m1_relset_1(k6_autgroup(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_6156,c_5609]) ).
cnf(c_6158,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),B,k6_autgroup(sK0,sK1),A) = k5_relat_1(k6_autgroup(sK0,sK1),A)
| ~ m1_relset_1(A,u1_struct_0(sK0),B)
| ~ v1_funct_2(A,u1_struct_0(sK0),B)
| ~ v1_funct_1(A)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_6157,c_5606]) ).
cnf(c_6159,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),B,k6_autgroup(sK0,sK1),k6_partfun1(A)) = k5_relat_1(k6_autgroup(sK0,sK1),k6_partfun1(A))
| ~ m1_relset_1(k6_partfun1(A),u1_struct_0(sK0),B)
| ~ v1_funct_2(k6_partfun1(A),u1_struct_0(sK0),B)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_6158,c_299]) ).
cnf(c_6160,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_partfun1(u1_struct_0(sK0))) = k5_relat_1(k6_autgroup(sK0,sK1),k6_partfun1(u1_struct_0(sK0)))
| ~ m1_relset_1(k6_partfun1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_6159,c_1034]) ).
cnf(c_6161,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_partfun1(u1_struct_0(sK0))) = k5_relat_1(k6_autgroup(sK0,sK1),k6_partfun1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolve,[status(thm)],[c_6160,c_406]) ).
cnf(c_6162,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_partfun1(u1_struct_0(sK0))) = k6_autgroup(sK0,sK1)
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(paramod,[status(thm)],[c_6056,c_6161]) ).
cnf(c_6118,plain,
k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_partfun1(u1_struct_0(sK0))) = k6_autgroup(sK0,sK1),
inference(resolve,[status(thm)],[c_485,c_6162]) ).
cnf(c_6163,negated_conjecture,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,sK1),k6_partfun1(u1_struct_0(sK0))) != k6_autgroup(sK0,sK1)
| k6_autgroup(sK0,sK1) != k6_autgroup(sK0,sK1) ),
inference(paramod,[status(thm)],[c_6115,c_481]) ).
cnf(c_6164,negated_conjecture,
( k6_autgroup(sK0,sK1) != k6_autgroup(sK0,sK1)
| k6_autgroup(sK0,sK1) != k6_autgroup(sK0,sK1) ),
inference(paramod,[status(thm)],[c_6118,c_6163]) ).
cnf(c_6165,negated_conjecture,
k6_autgroup(sK0,sK1) != k6_autgroup(sK0,sK1),
inference(copy,[status(thm)],[c_6164]) ).
cnf(c_6121,negated_conjecture,
$false,
inference(copy,[status(thm)],[c_6165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP631+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 15:13:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36 % Process 2850981 was started by sandbox2 on n026,
% 0.13/0.36 % Fri Sep 25 15:13:55 2026
% 0.13/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.38
% 0.13/0.38 % From the command line: assign(max_seconds, 300).
% 135.09/17.68
% 135.09/17.68 % SZS status Theorem for theBenchmark
% 135.09/17.68
% 135.09/17.68 % Proof 1 at 0.83 (+ 0.22) seconds.
% 135.09/17.68 % Length of proof is 82.
% 135.09/17.68 % Level of proof is 11.
% 135.09/17.68 % Maximum clause weight is 56.000.
% 135.09/17.68 % Given clauses 412.
% 135.09/17.68
% 135.09/17.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------