%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP629+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 2.01s 2.82s
% Output : CNFRefutation 2.03s
% 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(f7368,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f7471,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f12904,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f12905,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f12907,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f12908,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)],[f12907]) ).
fof(f35306,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)],[f7368]) ).
fof(f35307,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)],[f35306]) ).
fof(f35309,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)],[f35307]) ).
fof(f35542,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)],[f7471]) ).
fof(f35543,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)],[f35542]) ).
fof(f54016,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)],[f12904]) ).
fof(f54017,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)],[f54016]) ).
fof(f54018,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)],[f12905]) ).
fof(f54019,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)],[f54018]) ).
fof(f54022,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)],[f12908]) ).
fof(f54023,plain,
( k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,sK3711_skl)) != k6_autgroup(sK3710_skl,k2_group_1(sK3710_skl))
& m1_subset_1(sK3711_skl,u1_struct_0(sK3710_skl))
& l1_group_1(sK3710_skl)
& v4_group_1(sK3710_skl)
& v3_group_1(sK3710_skl)
& v1_group_1(sK3710_skl)
& ~ v3_struct_0(sK3710_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3710_skl,sK3711_skl]),skolemize(A,sK3710_skl),skolemize(B,sK3711_skl)],[f54022]) ).
fof(f54024,plain,
~ v3_struct_0(sK3710_skl),
inference(cnf_transformation,[status(thm)],[f54023]) ).
fof(f54025,plain,
v1_group_1(sK3710_skl),
inference(cnf_transformation,[status(thm)],[f54023]) ).
fof(f54026,plain,
v3_group_1(sK3710_skl),
inference(cnf_transformation,[status(thm)],[f54023]) ).
fof(f54027,plain,
v4_group_1(sK3710_skl),
inference(cnf_transformation,[status(thm)],[f54023]) ).
fof(f54028,plain,
l1_group_1(sK3710_skl),
inference(cnf_transformation,[status(thm)],[f54023]) ).
fof(f54029,plain,
m1_subset_1(sK3711_skl,u1_struct_0(sK3710_skl)),
inference(cnf_transformation,[status(thm)],[f54023]) ).
fof(f54030,plain,
k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,sK3711_skl)) != k6_autgroup(sK3710_skl,k2_group_1(sK3710_skl)),
inference(cnf_transformation,[status(thm)],[f54023]) ).
fof(f57510,plain,
( k6_autgroup(sK3710_skl,k2_group_1(sK3710_skl)) = k6_partfun1(u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl)
| ~ v1_group_1(sK3710_skl)
| v3_struct_0(sK3710_skl) ),
inference(resolution,[status(thm)],[f54019,f54027]) ).
fof(f57511,plain,
( k6_autgroup(sK3710_skl,k2_group_1(sK3710_skl)) = k6_partfun1(u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl)
| ~ v1_group_1(sK3710_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f57510,f54024]) ).
fof(f57528,plain,
( k6_autgroup(sK3710_skl,k2_group_1(sK3710_skl)) = k6_partfun1(u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f57511,f54025]) ).
fof(f57529,plain,
( k6_autgroup(sK3710_skl,k2_group_1(sK3710_skl)) = k6_partfun1(u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl) ),
inference(resolution,[status(thm)],[f57528,f54026]) ).
fof(f57530,plain,
k6_autgroup(sK3710_skl,k2_group_1(sK3710_skl)) = k6_partfun1(u1_struct_0(sK3710_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f57529,f54028]) ).
fof(f57532,plain,
k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,sK3711_skl)) != k6_partfun1(u1_struct_0(sK3710_skl)),
inference(backward_demodulation,[status(thm)],[f57530,f54030]) ).
fof(f57534,plain,
( m1_subset_1(k3_group_1(sK3710_skl,sK3711_skl),u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl)
| v3_struct_0(sK3710_skl) ),
inference(resolution,[status(thm)],[f35543,f54029]) ).
fof(f57536,plain,
( m1_subset_1(k3_group_1(sK3710_skl,sK3711_skl),u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f57534,f54024]) ).
fof(f57537,plain,
( m1_subset_1(k3_group_1(sK3710_skl,sK3711_skl),u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f57536,f54026]) ).
fof(f57538,plain,
( m1_subset_1(k3_group_1(sK3710_skl,sK3711_skl),u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl) ),
inference(resolution,[status(thm)],[f57537,f54027]) ).
fof(f57539,plain,
m1_subset_1(k3_group_1(sK3710_skl,sK3711_skl),u1_struct_0(sK3710_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f57538,f54028]) ).
fof(f57554,plain,
! [X0] :
( k1_group_1(sK3710_skl,X0,sK3711_skl) = k2_group_1(sK3710_skl)
| X0 != k3_group_1(sK3710_skl,sK3711_skl)
| ~ m1_subset_1(X0,u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl)
| v3_struct_0(sK3710_skl) ),
inference(resolution,[status(thm)],[f35309,f54029]) ).
fof(f57559,plain,
! [X0] :
( k1_group_1(sK3710_skl,X0,sK3711_skl) = k2_group_1(sK3710_skl)
| X0 != k3_group_1(sK3710_skl,sK3711_skl)
| ~ m1_subset_1(X0,u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f57554,f54024]) ).
fof(f57609,plain,
! [X0] :
( k1_group_1(sK3710_skl,X0,sK3711_skl) = k2_group_1(sK3710_skl)
| X0 != k3_group_1(sK3710_skl,sK3711_skl)
| ~ m1_subset_1(X0,u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f57559,f54026]) ).
fof(f57610,plain,
( k1_group_1(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl),sK3711_skl) = k2_group_1(sK3710_skl)
| k3_group_1(sK3710_skl,sK3711_skl) != k3_group_1(sK3710_skl,sK3711_skl)
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl) ),
inference(resolution,[status(thm)],[f57609,f57539]) ).
fof(f57613,plain,
( k1_group_1(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl),sK3711_skl) = k2_group_1(sK3710_skl)
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl) ),
inference(trivial_equality_resolution,[status(thm)],[f57610]) ).
fof(f57614,plain,
( k1_group_1(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl),sK3711_skl) = k2_group_1(sK3710_skl)
| ~ l1_group_1(sK3710_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f57613,f54027]) ).
fof(f57617,plain,
k1_group_1(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl),sK3711_skl) = k2_group_1(sK3710_skl),
inference(forward_subsumption_resolution,[status(thm)],[f57614,f54028]) ).
fof(f58389,plain,
! [X0] :
( k6_autgroup(sK3710_skl,k1_group_1(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl),X0)) = k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl)
| ~ v1_group_1(sK3710_skl)
| v3_struct_0(sK3710_skl) ),
inference(resolution,[status(thm)],[f54017,f57539]) ).
fof(f58392,plain,
! [X0] :
( k6_autgroup(sK3710_skl,k1_group_1(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl),X0)) = k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl)
| ~ v1_group_1(sK3710_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f58389,f54024]) ).
fof(f59754,plain,
! [X0] :
( k6_autgroup(sK3710_skl,k1_group_1(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl),X0)) = k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK3710_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f58392,f54025]) ).
fof(f59757,plain,
( k6_autgroup(sK3710_skl,k1_group_1(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl),sK3711_skl)) = k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,sK3711_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl) ),
inference(resolution,[status(thm)],[f59754,f54029]) ).
fof(f59763,plain,
( k6_autgroup(sK3710_skl,k2_group_1(sK3710_skl)) = k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,sK3711_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl) ),
inference(forward_demodulation,[status(thm)],[f57617,f59757]) ).
fof(f59764,plain,
( k6_partfun1(u1_struct_0(sK3710_skl)) = k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,sK3711_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl)
| ~ v3_group_1(sK3710_skl) ),
inference(forward_demodulation,[status(thm)],[f57530,f59763]) ).
fof(f59765,plain,
( k6_partfun1(u1_struct_0(sK3710_skl)) = k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,sK3711_skl))
| ~ l1_group_1(sK3710_skl)
| ~ v4_group_1(sK3710_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f59764,f54026]) ).
fof(f59900,plain,
( k6_partfun1(u1_struct_0(sK3710_skl)) = k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,sK3711_skl))
| ~ l1_group_1(sK3710_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f59765,f54027]) ).
fof(f59901,plain,
k6_partfun1(u1_struct_0(sK3710_skl)) = k7_funct_2(u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),u1_struct_0(sK3710_skl),k6_autgroup(sK3710_skl,k3_group_1(sK3710_skl,sK3711_skl)),k6_autgroup(sK3710_skl,sK3711_skl)),
inference(resolution,[status(thm)],[f59900,f54028]) ).
fof(f59902,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f59901,f57532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP629+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39 % Computer : n013.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 20 20:20:52 UTC 2026
% 0.14/0.40 % CPUTime :
% 1.66/2.03 % Drodi V4.1.1
% 2.01/2.82 % Refutation found
% 2.01/2.82 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.01/2.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.04/3.09 % Elapsed time: 2.657949 seconds
% 2.04/3.09 % CPU time: 8.243507 seconds
% 2.04/3.09 % Total memory used: 3.679 GB
% 2.04/3.09 % Net memory used: 3.657 GB
%------------------------------------------------------------------------------