%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP395-1 : 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 : 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 12:36:34 PM UTC 2026
% Result : Satisfiable 0.17s 0.54s
% Output : Saturation 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Xg] : group_member(identity_for(Xg),Xg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Xg,X] : product(Xg,identity_for(Xg),X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Xg,X] : product(Xg,X,identity_for(Xg),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Xg] :
( group_member(inverse(Xg,X),Xg)
| ~ group_member(X,Xg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Xg,X] : product(Xg,inverse(Xg,X),X,identity_for(Xg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Xg,X] : product(Xg,X,inverse(Xg,X),identity_for(Xg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Xg,Y] :
( product(Xg,X,Y,multiply(Xg,X,Y))
| ~ group_member(Y,Xg)
| ~ group_member(X,Xg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Xg,Y] :
( group_member(multiply(Xg,X,Y),Xg)
| ~ group_member(Y,Xg)
| ~ group_member(X,Xg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Xg,X,Y,Z,W] :
( W = Z
| ~ product(Xg,X,Y,W)
| ~ product(Xg,X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Xg,X,Y,Xy,Z,Yz,Xyz] :
( product(Xg,X,Yz,Xyz)
| ~ product(Xg,Xy,Z,Xyz)
| ~ product(Xg,Y,Z,Yz)
| ~ product(Xg,X,Y,Xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Xg,X,Y,Xy,Z,Yz,Xyz] :
( product(Xg,Xy,Z,Xyz)
| ~ product(Xg,X,Yz,Xyz)
| ~ product(Xg,Y,Z,Yz)
| ~ product(Xg,X,Y,Xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : group_member(identity_for(X0),X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
! [X0,X1] : product(X0,identity_for(X0),X1,X1),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
! [X0,X1] : product(X0,X1,identity_for(X0),X1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
! [X0,X1] :
( group_member(inverse(X1,X0),X1)
| ~ group_member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
! [X0,X1] : product(X0,inverse(X0,X1),X1,identity_for(X0)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f17,plain,
! [X0,X1] : product(X0,X1,inverse(X0,X1),identity_for(X0)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f18,plain,
! [X0,X1,X2] :
( product(X1,X0,X2,multiply(X1,X0,X2))
| ~ group_member(X2,X1)
| ~ group_member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
! [X0,X1,X2] :
( group_member(multiply(X1,X0,X2),X1)
| ~ group_member(X2,X1)
| ~ group_member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f20,plain,
! [Z,W] :
( W = Z
| ! [Xg,X,Y] :
( ~ product(Xg,X,Y,W)
| ~ product(Xg,X,Y,Z) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4] :
( X4 = X3
| ~ product(X0,X1,X2,X4)
| ~ product(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [Xg,X,Yz,Xyz] :
( product(Xg,X,Yz,Xyz)
| ! [Xy,Z] :
( ~ product(Xg,Xy,Z,Xyz)
| ! [Y] :
( ~ product(Xg,Y,Z,Yz)
| ~ product(Xg,X,Y,Xy) ) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( product(X0,X1,X5,X6)
| ~ product(X0,X3,X4,X6)
| ~ product(X0,X2,X4,X5)
| ~ product(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [Xg,Xy,Z,Xyz] :
( product(Xg,Xy,Z,Xyz)
| ! [X,Yz] :
( ~ product(Xg,X,Yz,Xyz)
| ! [Y] :
( ~ product(Xg,Y,Z,Yz)
| ~ product(Xg,X,Y,Xy) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( product(X0,X3,X4,X6)
| ~ product(X0,X1,X5,X6)
| ~ product(X0,X2,X4,X5)
| ~ product(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f31,plain,
! [X0,X1] :
( product(X1,identity_for(X1),X0,multiply(X1,identity_for(X1),X0))
| ~ group_member(X0,X1) ),
inference(resolution,[status(thm)],[f18,f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( X2 = identity_for(X0)
| ~ product(X0,inverse(X0,X1),X1,X2) ),
inference(resolution,[status(thm)],[f21,f16]) ).
fof(f33,plain,
! [X0,X1,X2] :
( X2 = X1
| ~ product(X0,identity_for(X0),X1,X2) ),
inference(resolution,[status(thm)],[f21,f13]) ).
fof(f34,plain,
! [X0,X1,X2] :
( X2 = identity_for(X0)
| ~ product(X0,X1,inverse(X0,X1),X2) ),
inference(resolution,[status(thm)],[f21,f17]) ).
fof(f35,plain,
! [X0,X1,X2] :
( X2 = X1
| ~ product(X0,X1,identity_for(X0),X2) ),
inference(resolution,[status(thm)],[f21,f14]) ).
fof(f37,plain,
! [X0] : identity_for(X0) = inverse(X0,identity_for(X0)),
inference(resolution,[status(thm)],[f33,f17]) ).
fof(f41,plain,
! [X0,X1] :
( group_member(multiply(X1,identity_for(X1),X0),X1)
| ~ group_member(X0,X1) ),
inference(resolution,[status(thm)],[f19,f12]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,inverse(X0,X1),X3,X4)
| ~ product(X0,identity_for(X0),X2,X4)
| ~ product(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f23,f16]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,identity_for(X0),X3,X4)
| ~ product(X0,X1,X2,X4)
| ~ product(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f23,f13]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,X1,X3,X4)
| ~ product(X0,identity_for(X0),X2,X4)
| ~ product(X0,inverse(X0,X1),X2,X3) ),
inference(resolution,[status(thm)],[f23,f17]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,X3,X2,X4)
| ~ product(X0,X3,X1,X4)
| ~ product(X0,identity_for(X0),X1,X2) ),
inference(resolution,[status(thm)],[f23,f14]) ).
fof(f60,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,identity_for(X0),X2,X4)
| ~ product(X0,inverse(X0,X1),X3,X4)
| ~ product(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f25,f16]) ).
fof(f61,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,X1,X2,X4)
| ~ product(X0,identity_for(X0),X3,X4)
| ~ product(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f25,f13]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,identity_for(X0),X2,X4)
| ~ product(X0,X1,X3,X4)
| ~ product(X0,inverse(X0,X1),X2,X3) ),
inference(resolution,[status(thm)],[f25,f17]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,X3,X1,X4)
| ~ product(X0,X3,X2,X4)
| ~ product(X0,identity_for(X0),X1,X2) ),
inference(resolution,[status(thm)],[f25,f14]) ).
fof(f70,plain,
! [X0] : product(X0,identity_for(X0),identity_for(X0),multiply(X0,identity_for(X0),identity_for(X0))),
inference(resolution,[status(thm)],[f31,f12]) ).
fof(f79,plain,
! [X0,X1,X2] :
( product(X0,inverse(X0,inverse(X0,X1)),identity_for(X0),X2)
| ~ product(X0,identity_for(X0),X1,X2) ),
inference(resolution,[status(thm)],[f50,f16]) ).
fof(f82,plain,
! [X0,X1,X2] :
( product(X0,inverse(X0,X2),X2,X1)
| ~ product(X0,identity_for(X0),identity_for(X0),X1) ),
inference(resolution,[status(thm)],[f50,f14]) ).
fof(f89,plain,
! [X0,X1,X2] :
( product(X0,identity_for(X0),identity_for(X0),X2)
| ~ product(X0,inverse(X0,X1),X1,X2) ),
inference(resolution,[status(thm)],[f51,f16]) ).
fof(f91,plain,
! [X0,X1,X2] :
( product(X0,identity_for(X0),identity_for(X0),X2)
| ~ product(X0,X1,inverse(X0,X1),X2) ),
inference(resolution,[status(thm)],[f51,f17]) ).
fof(f92,plain,
! [X0,X1,X2] :
( product(X0,identity_for(X0),X1,X2)
| ~ product(X0,X1,identity_for(X0),X2) ),
inference(resolution,[status(thm)],[f51,f14]) ).
fof(f97,plain,
! [X0] : multiply(X0,identity_for(X0),identity_for(X0)) = identity_for(X0),
inference(resolution,[status(thm)],[f70,f33]) ).
fof(f106,plain,
! [X0,X1,X2] :
( product(X0,X1,identity_for(X0),X2)
| ~ product(X0,identity_for(X0),X1,X2) ),
inference(resolution,[status(thm)],[f52,f16]) ).
fof(f108,plain,
! [X0,X1,X2] :
( product(X0,X2,inverse(X0,X2),X1)
| ~ product(X0,identity_for(X0),identity_for(X0),X1) ),
inference(resolution,[status(thm)],[f52,f14]) ).
fof(f162,plain,
! [X0,X1] : product(X0,inverse(X0,inverse(X0,X1)),identity_for(X0),X1),
inference(resolution,[status(thm)],[f79,f13]) ).
fof(f173,plain,
! [X0,X1] : X0 = inverse(X1,inverse(X1,X0)),
inference(resolution,[status(thm)],[f162,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP395-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48 % Computer : n017.cluster.edu
% 0.17/0.48 % Model : x86_64 x86_64
% 0.17/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.48 % Memory : 8046.5625MB
% 0.17/0.48 % OS : Linux 6.8.0-71-generic
% 0.17/0.48 % CPULimit : 300
% 0.17/0.48 % WCLimit : 300
% 0.17/0.48 % DateTime : Sun Sep 20 20:06:42 UTC 2026
% 0.17/0.49 % CPUTime :
% 0.17/0.50 % Drodi V4.1.1
% 0.17/0.54 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.17/0.54 % SZS output start Saturation for theBenchmark
% See solution above
% 0.17/0.57 % Elapsed time: 0.068165 seconds
% 0.17/0.57 % CPU time: 0.269778 seconds
% 0.17/0.57 % Total memory used: 4.546 MB
% 0.17/0.57 % Net memory used: 4.097 MB
%------------------------------------------------------------------------------