%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MSC009+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:28:21 PM UTC 2026
% Result : Satisfiable 0.15s 0.40s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( female(X)
<=> ~ male(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( person(X)
<=> ? [Y] :
( ( female(Y)
| male(Y) )
& sex(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( parent(X)
<=> ( ? [Y] :
( person(Y)
& child(X,Y) )
& person(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( mother(X)
<=> ( ? [Y] :
( female(Y)
& sex(X,Y) )
& parent(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( father(X)
<=> ( ~ mother(X)
& parent(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( grandparent(X)
<=> ( ? [Y] :
( parent(Y)
& child(X,Y) )
& parent(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( parent_with_sons_only(X)
<=> ( ! [Y] :
( child(X,Y)
=> ? [Z] :
( male(Z)
& sex(Y,Z) ) )
& parent(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X] :
( ( male(X)
| female(X) )
& ( ~ male(X)
| ~ female(X) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
( ! [X] :
( male(X)
| female(X) )
& ! [X] :
( ~ male(X)
| ~ female(X) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f10,plain,
! [X0] :
( ~ male(X0)
| ~ female(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0] :
( male(X0)
| female(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,plain,
! [X] :
( ( ! [Y] :
( ( ~ female(Y)
& ~ male(Y) )
| ~ sex(X,Y) )
| person(X) )
& ( ? [Y] :
( ( female(Y)
| male(Y) )
& sex(X,Y) )
| ~ person(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
( ! [X] :
( ! [Y] :
( ( ~ female(Y)
& ~ male(Y) )
| ~ sex(X,Y) )
| person(X) )
& ! [X] :
( ? [Y] :
( ( female(Y)
| male(Y) )
& sex(X,Y) )
| ~ person(X) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f14,plain,
( ! [X] :
( ! [Y] :
( ( ~ female(Y)
& ~ male(Y) )
| ~ sex(X,Y) )
| person(X) )
& ! [X] :
( ( ( female(sK0_skl(X))
| male(sK0_skl(X)) )
& sex(X,sK0_skl(X)) )
| ~ person(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f13]) ).
fof(f15,plain,
! [X0] :
( sex(X0,sK0_skl(X0))
| ~ person(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f17,plain,
! [X0,X1] :
( ~ male(X1)
| ~ sex(X0,X1)
| person(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f18,plain,
! [X0,X1] :
( ~ female(X1)
| ~ sex(X0,X1)
| person(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f19,plain,
! [X] :
( ( ! [Y] :
( ~ person(Y)
| ~ child(X,Y) )
| ~ person(X)
| parent(X) )
& ( ( ? [Y] :
( person(Y)
& child(X,Y) )
& person(X) )
| ~ parent(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
( ! [X] :
( ! [Y] :
( ~ person(Y)
| ~ child(X,Y) )
| ~ person(X)
| parent(X) )
& ! [X] :
( ( ? [Y] :
( person(Y)
& child(X,Y) )
& person(X) )
| ~ parent(X) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f21,plain,
( ! [X] :
( ! [Y] :
( ~ person(Y)
| ~ child(X,Y) )
| ~ person(X)
| parent(X) )
& ! [X] :
( ( person(sK1_skl(X))
& child(X,sK1_skl(X))
& person(X) )
| ~ parent(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f20]) ).
fof(f22,plain,
! [X0] :
( person(X0)
| ~ parent(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0] :
( child(X0,sK1_skl(X0))
| ~ parent(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f24,plain,
! [X0] :
( person(sK1_skl(X0))
| ~ parent(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f25,plain,
! [X0,X1] :
( ~ person(X1)
| ~ child(X0,X1)
| ~ person(X0)
| parent(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f26,plain,
! [X] :
( ( ! [Y] :
( ~ female(Y)
| ~ sex(X,Y) )
| ~ parent(X)
| mother(X) )
& ( ( ? [Y] :
( female(Y)
& sex(X,Y) )
& parent(X) )
| ~ mother(X) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
( ! [X] :
( ! [Y] :
( ~ female(Y)
| ~ sex(X,Y) )
| ~ parent(X)
| mother(X) )
& ! [X] :
( ( ? [Y] :
( female(Y)
& sex(X,Y) )
& parent(X) )
| ~ mother(X) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f28,plain,
( ! [X] :
( ! [Y] :
( ~ female(Y)
| ~ sex(X,Y) )
| ~ parent(X)
| mother(X) )
& ! [X] :
( ( female(sK2_skl(X))
& sex(X,sK2_skl(X))
& parent(X) )
| ~ mother(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f27]) ).
fof(f29,plain,
! [X0] :
( parent(X0)
| ~ mother(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [X0] :
( sex(X0,sK2_skl(X0))
| ~ mother(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f31,plain,
! [X0] :
( female(sK2_skl(X0))
| ~ mother(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f32,plain,
! [X0,X1] :
( ~ female(X1)
| ~ sex(X0,X1)
| ~ parent(X0)
| mother(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f33,plain,
! [X] :
( ( mother(X)
| ~ parent(X)
| father(X) )
& ( ( ~ mother(X)
& parent(X) )
| ~ father(X) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f34,plain,
( ! [X] :
( mother(X)
| ~ parent(X)
| father(X) )
& ! [X] :
( ( ~ mother(X)
& parent(X) )
| ~ father(X) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f35,plain,
! [X0] :
( parent(X0)
| ~ father(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0] :
( ~ mother(X0)
| ~ father(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
! [X0] :
( mother(X0)
| ~ parent(X0)
| father(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f38,plain,
! [X] :
( ( ! [Y] :
( ~ parent(Y)
| ~ child(X,Y) )
| ~ parent(X)
| grandparent(X) )
& ( ( ? [Y] :
( parent(Y)
& child(X,Y) )
& parent(X) )
| ~ grandparent(X) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f39,plain,
( ! [X] :
( ! [Y] :
( ~ parent(Y)
| ~ child(X,Y) )
| ~ parent(X)
| grandparent(X) )
& ! [X] :
( ( ? [Y] :
( parent(Y)
& child(X,Y) )
& parent(X) )
| ~ grandparent(X) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f40,plain,
( ! [X] :
( ! [Y] :
( ~ parent(Y)
| ~ child(X,Y) )
| ~ parent(X)
| grandparent(X) )
& ! [X] :
( ( parent(sK3_skl(X))
& child(X,sK3_skl(X))
& parent(X) )
| ~ grandparent(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f39]) ).
fof(f41,plain,
! [X0] :
( parent(X0)
| ~ grandparent(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
! [X0] :
( child(X0,sK3_skl(X0))
| ~ grandparent(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f43,plain,
! [X0] :
( parent(sK3_skl(X0))
| ~ grandparent(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f44,plain,
! [X0,X1] :
( ~ parent(X1)
| ~ child(X0,X1)
| ~ parent(X0)
| grandparent(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f45,plain,
! [X] :
( parent_with_sons_only(X)
<=> ( ! [Y] :
( ? [Z] :
( male(Z)
& sex(Y,Z) )
| ~ child(X,Y) )
& parent(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f46,plain,
! [X] :
( ( ? [Y] :
( ! [Z] :
( ~ male(Z)
| ~ sex(Y,Z) )
& child(X,Y) )
| ~ parent(X)
| parent_with_sons_only(X) )
& ( ( ! [Y] :
( ? [Z] :
( male(Z)
& sex(Y,Z) )
| ~ child(X,Y) )
& parent(X) )
| ~ parent_with_sons_only(X) ) ),
inference(NNF_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
( ! [X] :
( ? [Y] :
( ! [Z] :
( ~ male(Z)
| ~ sex(Y,Z) )
& child(X,Y) )
| ~ parent(X)
| parent_with_sons_only(X) )
& ! [X] :
( ( ! [Y] :
( ? [Z] :
( male(Z)
& sex(Y,Z) )
| ~ child(X,Y) )
& parent(X) )
| ~ parent_with_sons_only(X) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f48,plain,
( ! [X] :
( ( ! [Z] :
( ~ male(Z)
| ~ sex(sK5_skl(X),Z) )
& child(X,sK5_skl(X)) )
| ~ parent(X)
| parent_with_sons_only(X) )
& ! [X] :
( ( ! [Y] :
( ( male(sK4_skl(Y,X))
& sex(Y,sK4_skl(Y,X)) )
| ~ child(X,Y) )
& parent(X) )
| ~ parent_with_sons_only(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(Z,sK4_skl(Y,X)),skolemize(Y,sK5_skl(X))],[f47]) ).
fof(f49,plain,
! [X0] :
( parent(X0)
| ~ parent_with_sons_only(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( sex(X1,sK4_skl(X1,X0))
| ~ child(X0,X1)
| ~ parent_with_sons_only(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f51,plain,
! [X0,X1] :
( male(sK4_skl(X1,X0))
| ~ child(X0,X1)
| ~ parent_with_sons_only(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f52,plain,
! [X0] :
( child(X0,sK5_skl(X0))
| ~ parent(X0)
| parent_with_sons_only(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f53,plain,
! [X0,X1] :
( ~ male(X1)
| ~ sex(sK5_skl(X0),X1)
| ~ parent(X0)
| parent_with_sons_only(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC009+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 01:25:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.15/0.40 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.15/0.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.15/0.42 % Elapsed time: 0.035260 seconds
% 0.15/0.42 % CPU time: 0.101484 seconds
% 0.15/0.42 % Total memory used: 1.739 MB
% 0.15/0.42 % Net memory used: 1.693 MB
%------------------------------------------------------------------------------