%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP396+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 12:36:34 PM UTC 2026
% Result : Satisfiable 0.12s 0.38s
% Output : Saturation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [G,X,Y] :
( ( group_member(Y,G)
& group_member(X,G) )
=> group_member(multiply(G,X,Y),G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [G,X,Y,Z] :
( ( group_member(Z,G)
& group_member(Y,G)
& group_member(X,G) )
=> multiply(G,multiply(G,X,Y),Z) = multiply(G,X,multiply(G,Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [G,X,Y] :
( group_member(multiply(G,X,Y),G)
| ~ group_member(Y,G)
| ~ group_member(X,G) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f4,plain,
! [X0,X1,X2] :
( group_member(multiply(X1,X0,X2),X1)
| ~ group_member(X2,X1)
| ~ group_member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
! [G,X,Y,Z] :
( multiply(G,multiply(G,X,Y),Z) = multiply(G,X,multiply(G,Y,Z))
| ~ group_member(Z,G)
| ~ group_member(Y,G)
| ~ group_member(X,G) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
! [X0,X1,X2,X3] :
( multiply(X1,multiply(X1,X0,X2),X3) = multiply(X1,X0,multiply(X1,X2,X3))
| ~ group_member(X3,X1)
| ~ group_member(X2,X1)
| ~ group_member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP396+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:09:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.12/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.39 % Elapsed time: 0.031420 seconds
% 0.12/0.39 % CPU time: 0.069114 seconds
% 0.12/0.39 % Total memory used: 891.952 KB
% 0.12/0.39 % Net memory used: 722.768 KB
%------------------------------------------------------------------------------