%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP629+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:34:52 PM UTC 2026
% Result : Theorem 24.41s 13.59s
% Output : CNFRefutation 27.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 229 ( 51 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 302 ( 125 ~; 124 |; 39 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-5 aty)
% Number of variables : 42 ( 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18891,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))
=> ( C = k3_group_1(A,B)
<=> ( k1_group_1(A,C,B) = k2_group_1(A)
& k1_group_1(A,B,C) = k2_group_1(A) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18994,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_group_1(A)
& v4_group_1(A)
& v3_group_1(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33422,axiom,
! [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))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> k6_autgroup(A,k1_group_1(A,B,C)) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33423,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('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33425,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,k3_group_1(A,B)),k6_autgroup(A,B)) = k6_autgroup(A,k2_group_1(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33426,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,k3_group_1(A,B)),k6_autgroup(A,B)) = k6_autgroup(A,k2_group_1(A)) ) ),
inference(negated_conjecture,[status(cth)],[f33425]) ).
fof(f94559,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( C = k3_group_1(A,B)
<=> ( k1_group_1(A,C,B) = k2_group_1(A)
& k1_group_1(A,B,C) = k2_group_1(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(pre_NNF_transformation,[status(thm)],[f18891]) ).
fof(f94560,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( k1_group_1(A,C,B) != k2_group_1(A)
| k1_group_1(A,B,C) != k2_group_1(A)
| C = k3_group_1(A,B) )
& ( ( k1_group_1(A,C,B) = k2_group_1(A)
& k1_group_1(A,B,C) = k2_group_1(A) )
| C != k3_group_1(A,B) ) )
| ~ 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(NNF_transformation,[status(thm)],[f94559]) ).
fof(f94562,plain,
! [X0,X1,X2] :
( k1_group_1(X0,X2,X1) = k2_group_1(X0)
| X2 != k3_group_1(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f94560]) ).
fof(f94795,plain,
! [A,B] :
( m1_subset_1(k3_group_1(A,B),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(pre_NNF_transformation,[status(thm)],[f18994]) ).
fof(f94796,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f94795]) ).
fof(f147699,plain,
! [A] :
( ! [B] :
( ! [C] :
( k6_autgroup(A,k1_group_1(A,B,C)) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,C))
| ~ 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)
| ~ v1_group_1(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f33422]) ).
fof(f147700,plain,
! [X0,X1,X2] :
( k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f147699]) ).
fof(f147701,plain,
! [A] :
( k6_autgroup(A,k2_group_1(A)) = k6_partfun1(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(pre_NNF_transformation,[status(thm)],[f33423]) ).
fof(f147702,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f147701]) ).
fof(f147705,plain,
? [A] :
( ? [B] :
( k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k3_group_1(A,B)),k6_autgroup(A,B)) != k6_autgroup(A,k2_group_1(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(pre_NNF_transformation,[status(thm)],[f33426]) ).
fof(f147706,plain,
( k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,sK11610_skl)) != k6_autgroup(sK11609_skl,k2_group_1(sK11609_skl))
& m1_subset_1(sK11610_skl,u1_struct_0(sK11609_skl))
& l1_group_1(sK11609_skl)
& v4_group_1(sK11609_skl)
& v3_group_1(sK11609_skl)
& v1_group_1(sK11609_skl)
& ~ v3_struct_0(sK11609_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11609_skl,sK11610_skl]),skolemize(A,sK11609_skl),skolemize(B,sK11610_skl)],[f147705]) ).
fof(f147707,plain,
~ v3_struct_0(sK11609_skl),
inference(cnf_transformation,[status(thm)],[f147706]) ).
fof(f147708,plain,
v1_group_1(sK11609_skl),
inference(cnf_transformation,[status(thm)],[f147706]) ).
fof(f147709,plain,
v3_group_1(sK11609_skl),
inference(cnf_transformation,[status(thm)],[f147706]) ).
fof(f147710,plain,
v4_group_1(sK11609_skl),
inference(cnf_transformation,[status(thm)],[f147706]) ).
fof(f147711,plain,
l1_group_1(sK11609_skl),
inference(cnf_transformation,[status(thm)],[f147706]) ).
fof(f147712,plain,
m1_subset_1(sK11610_skl,u1_struct_0(sK11609_skl)),
inference(cnf_transformation,[status(thm)],[f147706]) ).
fof(f147713,plain,
k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,sK11610_skl)) != k6_autgroup(sK11609_skl,k2_group_1(sK11609_skl)),
inference(cnf_transformation,[status(thm)],[f147706]) ).
fof(f167382,plain,
( k6_autgroup(sK11609_skl,k2_group_1(sK11609_skl)) = k6_partfun1(u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl)
| ~ v1_group_1(sK11609_skl)
| v3_struct_0(sK11609_skl) ),
inference(resolution,[status(thm)],[f147702,f147710]) ).
fof(f167383,plain,
( k6_autgroup(sK11609_skl,k2_group_1(sK11609_skl)) = k6_partfun1(u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl)
| ~ v1_group_1(sK11609_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f167382,f147707]) ).
fof(f167400,plain,
( k6_autgroup(sK11609_skl,k2_group_1(sK11609_skl)) = k6_partfun1(u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f167383,f147708]) ).
fof(f167401,plain,
( k6_autgroup(sK11609_skl,k2_group_1(sK11609_skl)) = k6_partfun1(u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl) ),
inference(resolution,[status(thm)],[f167400,f147709]) ).
fof(f167402,plain,
k6_autgroup(sK11609_skl,k2_group_1(sK11609_skl)) = k6_partfun1(u1_struct_0(sK11609_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f167401,f147711]) ).
fof(f167404,plain,
k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,sK11610_skl)) != k6_partfun1(u1_struct_0(sK11609_skl)),
inference(backward_demodulation,[status(thm)],[f167402,f147713]) ).
fof(f167406,plain,
( m1_subset_1(k3_group_1(sK11609_skl,sK11610_skl),u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl)
| v3_struct_0(sK11609_skl) ),
inference(resolution,[status(thm)],[f94796,f147712]) ).
fof(f167408,plain,
( m1_subset_1(k3_group_1(sK11609_skl,sK11610_skl),u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f167406,f147707]) ).
fof(f167409,plain,
( m1_subset_1(k3_group_1(sK11609_skl,sK11610_skl),u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f167408,f147709]) ).
fof(f167410,plain,
( m1_subset_1(k3_group_1(sK11609_skl,sK11610_skl),u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl) ),
inference(resolution,[status(thm)],[f167409,f147710]) ).
fof(f167411,plain,
m1_subset_1(k3_group_1(sK11609_skl,sK11610_skl),u1_struct_0(sK11609_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f167410,f147711]) ).
fof(f167426,plain,
! [X0] :
( k1_group_1(sK11609_skl,X0,sK11610_skl) = k2_group_1(sK11609_skl)
| X0 != k3_group_1(sK11609_skl,sK11610_skl)
| ~ m1_subset_1(X0,u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl)
| v3_struct_0(sK11609_skl) ),
inference(resolution,[status(thm)],[f94562,f147712]) ).
fof(f167431,plain,
! [X0] :
( k1_group_1(sK11609_skl,X0,sK11610_skl) = k2_group_1(sK11609_skl)
| X0 != k3_group_1(sK11609_skl,sK11610_skl)
| ~ m1_subset_1(X0,u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f167426,f147707]) ).
fof(f167481,plain,
! [X0] :
( k1_group_1(sK11609_skl,X0,sK11610_skl) = k2_group_1(sK11609_skl)
| X0 != k3_group_1(sK11609_skl,sK11610_skl)
| ~ m1_subset_1(X0,u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f167431,f147709]) ).
fof(f167482,plain,
( k1_group_1(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl),sK11610_skl) = k2_group_1(sK11609_skl)
| k3_group_1(sK11609_skl,sK11610_skl) != k3_group_1(sK11609_skl,sK11610_skl)
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl) ),
inference(resolution,[status(thm)],[f167481,f167411]) ).
fof(f167485,plain,
( k1_group_1(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl),sK11610_skl) = k2_group_1(sK11609_skl)
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl) ),
inference(trivial_equality_resolution,[status(thm)],[f167482]) ).
fof(f167486,plain,
( k1_group_1(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl),sK11610_skl) = k2_group_1(sK11609_skl)
| ~ l1_group_1(sK11609_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f167485,f147710]) ).
fof(f167489,plain,
k1_group_1(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl),sK11610_skl) = k2_group_1(sK11609_skl),
inference(forward_subsumption_resolution,[status(thm)],[f167486,f147711]) ).
fof(f168707,plain,
! [X0] :
( k6_autgroup(sK11609_skl,k1_group_1(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl),X0)) = k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl)
| ~ v1_group_1(sK11609_skl)
| v3_struct_0(sK11609_skl) ),
inference(resolution,[status(thm)],[f147700,f167411]) ).
fof(f168710,plain,
! [X0] :
( k6_autgroup(sK11609_skl,k1_group_1(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl),X0)) = k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl)
| ~ v1_group_1(sK11609_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f168707,f147707]) ).
fof(f170111,plain,
! [X0] :
( k6_autgroup(sK11609_skl,k1_group_1(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl),X0)) = k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK11609_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f168710,f147708]) ).
fof(f170114,plain,
( k6_autgroup(sK11609_skl,k1_group_1(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl),sK11610_skl)) = k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,sK11610_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl) ),
inference(resolution,[status(thm)],[f170111,f147712]) ).
fof(f170120,plain,
( k6_autgroup(sK11609_skl,k2_group_1(sK11609_skl)) = k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,sK11610_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl) ),
inference(forward_demodulation,[status(thm)],[f167489,f170114]) ).
fof(f170121,plain,
( k6_partfun1(u1_struct_0(sK11609_skl)) = k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,sK11610_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl)
| ~ v3_group_1(sK11609_skl) ),
inference(forward_demodulation,[status(thm)],[f167402,f170120]) ).
fof(f170122,plain,
( k6_partfun1(u1_struct_0(sK11609_skl)) = k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,sK11610_skl))
| ~ l1_group_1(sK11609_skl)
| ~ v4_group_1(sK11609_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f170121,f147709]) ).
fof(f170177,plain,
( k6_partfun1(u1_struct_0(sK11609_skl)) = k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,sK11610_skl))
| ~ l1_group_1(sK11609_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f170122,f147710]) ).
fof(f170178,plain,
k6_partfun1(u1_struct_0(sK11609_skl)) = k7_funct_2(u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),u1_struct_0(sK11609_skl),k6_autgroup(sK11609_skl,k3_group_1(sK11609_skl,sK11610_skl)),k6_autgroup(sK11609_skl,sK11610_skl)),
inference(resolution,[status(thm)],[f170177,f147711]) ).
fof(f170179,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f170178,f167404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP629+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n017.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sun Sep 20 20:16:45 UTC 2026
% 0.17/0.45 % CPUTime :
% 10.77/11.11 % Drodi V4.1.1
% 24.41/13.59 % Refutation found
% 24.41/13.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 24.41/13.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.04/15.43 % Elapsed time: 14.729615 seconds
% 29.04/15.43 % CPU time: 30.779715 seconds
% 29.04/15.43 % Total memory used: 10.361 GB
% 29.04/15.43 % Net memory used: 10.313 GB
%------------------------------------------------------------------------------