%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP629+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 0.96s 1.77s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 51 ( 14 unt; 0 def)
% Number of atoms : 222 ( 46 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 291 ( 120 ~; 118 |; 38 &)
% ( 2 <=>; 13 =>; 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 : 8 ( 8 usr; 2 con; 0-5 aty)
% Number of variables : 66 ( 64 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2668,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(f2677,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))
=> k3_group_1(A,k3_group_1(A,B)) = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2771,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(f3838,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(f3841,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(f3842,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)],[f3841]) ).
fof(f11823,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)],[f2668]) ).
fof(f11824,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)],[f11823]) ).
fof(f11825,plain,
! [X0,X1,X2] :
( k1_group_1(X0,X1,X2) = 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)],[f11824]) ).
fof(f11842,plain,
! [A] :
( ! [B] :
( k3_group_1(A,k3_group_1(A,B)) = 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) ),
inference(pre_NNF_transformation,[status(thm)],[f2677]) ).
fof(f11843,plain,
! [X0,X1] :
( k3_group_1(X0,k3_group_1(X0,X1)) = X1
| ~ 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)],[f11842]) ).
fof(f12059,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)],[f2771]) ).
fof(f12060,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)],[f12059]) ).
fof(f15315,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)],[f3838]) ).
fof(f15316,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)],[f15315]) ).
fof(f15321,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)],[f3842]) ).
fof(f15322,plain,
( k7_funct_2(u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),k6_autgroup(sK1057_skl,k3_group_1(sK1057_skl,sK1058_skl)),k6_autgroup(sK1057_skl,sK1058_skl)) != k6_autgroup(sK1057_skl,k2_group_1(sK1057_skl))
& m1_subset_1(sK1058_skl,u1_struct_0(sK1057_skl))
& l1_group_1(sK1057_skl)
& v4_group_1(sK1057_skl)
& v3_group_1(sK1057_skl)
& v1_group_1(sK1057_skl)
& ~ v3_struct_0(sK1057_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1057_skl,sK1058_skl]),skolemize(A,sK1057_skl),skolemize(B,sK1058_skl)],[f15321]) ).
fof(f15323,plain,
~ v3_struct_0(sK1057_skl),
inference(cnf_transformation,[status(thm)],[f15322]) ).
fof(f15324,plain,
v1_group_1(sK1057_skl),
inference(cnf_transformation,[status(thm)],[f15322]) ).
fof(f15325,plain,
v3_group_1(sK1057_skl),
inference(cnf_transformation,[status(thm)],[f15322]) ).
fof(f15326,plain,
v4_group_1(sK1057_skl),
inference(cnf_transformation,[status(thm)],[f15322]) ).
fof(f15327,plain,
l1_group_1(sK1057_skl),
inference(cnf_transformation,[status(thm)],[f15322]) ).
fof(f15328,plain,
m1_subset_1(sK1058_skl,u1_struct_0(sK1057_skl)),
inference(cnf_transformation,[status(thm)],[f15322]) ).
fof(f15329,plain,
k7_funct_2(u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),k6_autgroup(sK1057_skl,k3_group_1(sK1057_skl,sK1058_skl)),k6_autgroup(sK1057_skl,sK1058_skl)) != k6_autgroup(sK1057_skl,k2_group_1(sK1057_skl)),
inference(cnf_transformation,[status(thm)],[f15322]) ).
fof(f17007,plain,
! [X0,X1] :
( k1_group_1(X0,X1,k3_group_1(X0,X1)) = k2_group_1(X0)
| ~ 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(destructive_equality_resolution,[status(thm)],[f11825]) ).
fof(f17377,plain,
! [X0] :
( k3_group_1(sK1057_skl,k3_group_1(sK1057_skl,X0)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl)
| ~ v4_group_1(sK1057_skl)
| ~ v3_group_1(sK1057_skl) ),
inference(resolution,[status(thm)],[f11843,f15323]) ).
fof(f17378,plain,
! [X0] :
( k3_group_1(sK1057_skl,k3_group_1(sK1057_skl,X0)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl)
| ~ v4_group_1(sK1057_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f17377,f15325]) ).
fof(f17382,plain,
! [X0] :
( k3_group_1(sK1057_skl,k3_group_1(sK1057_skl,X0)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f17378,f15326]) ).
fof(f17383,plain,
! [X0] :
( k3_group_1(sK1057_skl,k3_group_1(sK1057_skl,X0)) = X0
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl)) ),
inference(resolution,[status(thm)],[f17382,f15327]) ).
fof(f17385,plain,
k3_group_1(sK1057_skl,k3_group_1(sK1057_skl,sK1058_skl)) = sK1058_skl,
inference(resolution,[status(thm)],[f17383,f15328]) ).
fof(f17387,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK1057_skl,X0),u1_struct_0(sK1057_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl)
| ~ v4_group_1(sK1057_skl)
| ~ v3_group_1(sK1057_skl) ),
inference(resolution,[status(thm)],[f12060,f15323]) ).
fof(f17388,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK1057_skl,X0),u1_struct_0(sK1057_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl)
| ~ v4_group_1(sK1057_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f17387,f15325]) ).
fof(f17397,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK1057_skl,X0),u1_struct_0(sK1057_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f17388,f15326]) ).
fof(f17398,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK1057_skl,X0),u1_struct_0(sK1057_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl)) ),
inference(resolution,[status(thm)],[f17397,f15327]) ).
fof(f17400,plain,
m1_subset_1(k3_group_1(sK1057_skl,sK1058_skl),u1_struct_0(sK1057_skl)),
inference(resolution,[status(thm)],[f17398,f15328]) ).
fof(f17413,plain,
! [X0,X1] :
( k1_group_1(X0,X1,k3_group_1(X0,X1)) = k2_group_1(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(forward_subsumption_resolution,[status(thm)],[f17007,f12060]) ).
fof(f17414,plain,
! [X0] :
( k1_group_1(sK1057_skl,X0,k3_group_1(sK1057_skl,X0)) = k2_group_1(sK1057_skl)
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl)
| ~ v4_group_1(sK1057_skl)
| ~ v3_group_1(sK1057_skl) ),
inference(resolution,[status(thm)],[f17413,f15323]) ).
fof(f17415,plain,
! [X0] :
( k1_group_1(sK1057_skl,X0,k3_group_1(sK1057_skl,X0)) = k2_group_1(sK1057_skl)
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl)
| ~ v4_group_1(sK1057_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f17414,f15325]) ).
fof(f17419,plain,
! [X0] :
( k1_group_1(sK1057_skl,X0,k3_group_1(sK1057_skl,X0)) = k2_group_1(sK1057_skl)
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f17415,f15326]) ).
fof(f17420,plain,
! [X0] :
( k1_group_1(sK1057_skl,X0,k3_group_1(sK1057_skl,X0)) = k2_group_1(sK1057_skl)
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl)) ),
inference(resolution,[status(thm)],[f17419,f15327]) ).
fof(f17421,plain,
k1_group_1(sK1057_skl,k3_group_1(sK1057_skl,sK1058_skl),k3_group_1(sK1057_skl,k3_group_1(sK1057_skl,sK1058_skl))) = k2_group_1(sK1057_skl),
inference(resolution,[status(thm)],[f17420,f17400]) ).
fof(f17424,plain,
k1_group_1(sK1057_skl,k3_group_1(sK1057_skl,sK1058_skl),sK1058_skl) = k2_group_1(sK1057_skl),
inference(forward_demodulation,[status(thm)],[f17385,f17421]) ).
fof(f17723,plain,
! [X0,X1] :
( k6_autgroup(sK1057_skl,k1_group_1(sK1057_skl,X0,X1)) = k7_funct_2(u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),k6_autgroup(sK1057_skl,X0),k6_autgroup(sK1057_skl,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK1057_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl)
| ~ v4_group_1(sK1057_skl)
| ~ v3_group_1(sK1057_skl)
| ~ v1_group_1(sK1057_skl) ),
inference(resolution,[status(thm)],[f15316,f15323]) ).
fof(f17724,plain,
! [X0,X1] :
( k6_autgroup(sK1057_skl,k1_group_1(sK1057_skl,X0,X1)) = k7_funct_2(u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),k6_autgroup(sK1057_skl,X0),k6_autgroup(sK1057_skl,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK1057_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl)
| ~ v4_group_1(sK1057_skl)
| ~ v3_group_1(sK1057_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f17723,f15324]) ).
fof(f17942,plain,
! [X0,X1] :
( k6_autgroup(sK1057_skl,k1_group_1(sK1057_skl,X0,X1)) = k7_funct_2(u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),k6_autgroup(sK1057_skl,X0),k6_autgroup(sK1057_skl,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK1057_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ l1_group_1(sK1057_skl)
| ~ v4_group_1(sK1057_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f17724,f15325]) ).
fof(f17943,plain,
! [X0,X1] :
( k6_autgroup(sK1057_skl,k1_group_1(sK1057_skl,X0,X1)) = k7_funct_2(u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),k6_autgroup(sK1057_skl,X0),k6_autgroup(sK1057_skl,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK1057_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl))
| ~ v4_group_1(sK1057_skl) ),
inference(resolution,[status(thm)],[f17942,f15327]) ).
fof(f17944,plain,
! [X0,X1] :
( k6_autgroup(sK1057_skl,k1_group_1(sK1057_skl,X0,X1)) = k7_funct_2(u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),k6_autgroup(sK1057_skl,X0),k6_autgroup(sK1057_skl,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK1057_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f17943,f15326]) ).
fof(f18116,plain,
! [X0] :
( k6_autgroup(sK1057_skl,k1_group_1(sK1057_skl,X0,sK1058_skl)) = k7_funct_2(u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),k6_autgroup(sK1057_skl,X0),k6_autgroup(sK1057_skl,sK1058_skl))
| ~ m1_subset_1(X0,u1_struct_0(sK1057_skl)) ),
inference(resolution,[status(thm)],[f17944,f15328]) ).
fof(f18122,plain,
k6_autgroup(sK1057_skl,k1_group_1(sK1057_skl,k3_group_1(sK1057_skl,sK1058_skl),sK1058_skl)) = k7_funct_2(u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),k6_autgroup(sK1057_skl,k3_group_1(sK1057_skl,sK1058_skl)),k6_autgroup(sK1057_skl,sK1058_skl)),
inference(resolution,[status(thm)],[f18116,f17400]) ).
fof(f18125,plain,
k6_autgroup(sK1057_skl,k2_group_1(sK1057_skl)) = k7_funct_2(u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),u1_struct_0(sK1057_skl),k6_autgroup(sK1057_skl,k3_group_1(sK1057_skl,sK1058_skl)),k6_autgroup(sK1057_skl,sK1058_skl)),
inference(forward_demodulation,[status(thm)],[f17424,f18122]) ).
fof(f18126,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f18125,f15329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP629+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n018.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 20:23:28 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.67/1.04 % Drodi V4.1.1
% 0.96/1.77 % Refutation found
% 0.96/1.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.96/1.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.99/1.89 % Elapsed time: 1.422922 seconds
% 0.99/1.89 % CPU time: 6.479295 seconds
% 0.99/1.89 % Total memory used: 696.780 MB
% 0.99/1.89 % Net memory used: 688.611 MB
%------------------------------------------------------------------------------