%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET778-1 : 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 : n009.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 02:12:35 PM UTC 2026
% Result : Satisfiable 0.08s 0.39s
% Output : Saturation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Element,Subset,Superset] :
( member(Element,Superset)
| ~ subset(Subset,Superset)
| ~ member(Element,Subset) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Subset,Superset] :
( member(member_of_1_not_of_2(Subset,Superset),Subset)
| subset(Subset,Superset) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Subset,Superset] :
( subset(Subset,Superset)
| ~ member(member_of_1_not_of_2(Subset,Superset),Superset) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Subset,Superset] :
( subset(Subset,Superset)
| ~ equal_sets(Subset,Superset) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Superset,Subset] :
( subset(Subset,Superset)
| ~ equal_sets(Superset,Subset) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Set1,Set2] :
( equal_sets(Set2,Set1)
| ~ subset(Set2,Set1)
| ~ subset(Set1,Set2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Set1,Set2,Union,Element] :
( member(Element,Set2)
| member(Element,Set1)
| ~ member(Element,Union)
| ~ union(Set1,Set2,Union) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Set1,Set2,Union,Element] :
( member(Element,Union)
| ~ member(Element,Set1)
| ~ union(Set1,Set2,Union) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Set1,Set2,Union,Element] :
( member(Element,Union)
| ~ member(Element,Set2)
| ~ union(Set1,Set2,Union) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Set1,Set2,Union] :
( member(g(Set1,Set2,Union),Union)
| member(g(Set1,Set2,Union),Set2)
| member(g(Set1,Set2,Union),Set1)
| union(Set1,Set2,Union) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Set1,Set2,Union] :
( union(Set1,Set2,Union)
| ~ member(g(Set1,Set2,Union),Union)
| ~ member(g(Set1,Set2,Union),Set1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [Set1,Set2,Union] :
( union(Set1,Set2,Union)
| ~ member(g(Set1,Set2,Union),Union)
| ~ member(g(Set1,Set2,Union),Set2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [Element,Superset] :
( member(Element,Superset)
| ! [Subset] :
( ~ subset(Subset,Superset)
| ~ member(Element,Subset) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f14,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ subset(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(member_of_1_not_of_2(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f17,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ equal_sets(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ equal_sets(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f19,plain,
! [X0,X1] :
( equal_sets(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f20,plain,
! [Set2,Element] :
( member(Element,Set2)
| ! [Set1] :
( member(Element,Set1)
| ! [Union] :
( ~ member(Element,Union)
| ~ union(Set1,Set2,Union) ) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( member(X3,X1)
| member(X3,X0)
| ~ member(X3,X2)
| ~ union(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [Union,Element] :
( member(Element,Union)
| ! [Set1] :
( ~ member(Element,Set1)
| ! [Set2] : ~ union(Set1,Set2,Union) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( member(X3,X2)
| ~ member(X3,X0)
| ~ union(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [Union,Element] :
( member(Element,Union)
| ! [Set2] :
( ~ member(Element,Set2)
| ! [Set1] : ~ union(Set1,Set2,Union) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( member(X3,X2)
| ~ member(X3,X1)
| ~ union(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( member(g(X0,X1,X2),X2)
| member(g(X0,X1,X2),X1)
| member(g(X0,X1,X2),X0)
| union(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
! [X0,X1,X2] :
( union(X0,X1,X2)
| ~ member(g(X0,X1,X2),X2)
| ~ member(g(X0,X1,X2),X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
! [X0,X1,X2] :
( union(X0,X1,X2)
| ~ member(g(X0,X1,X2),X2)
| ~ member(g(X0,X1,X2),X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f29,plain,
! [X0] :
( subset(X0,X0)
| subset(X0,X0) ),
inference(resolution,[status(thm)],[f16,f15]) ).
fof(f30,plain,
! [X0] : subset(X0,X0),
inference(duplicate_literals_removal,[status(thm)],[f29]) ).
fof(f32,plain,
! [X0] :
( equal_sets(X0,X0)
| ~ subset(X0,X0) ),
inference(resolution,[status(thm)],[f19,f30]) ).
fof(f33,plain,
! [X0] : equal_sets(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f32,f30]) ).
fof(f36,plain,
! [X0] :
( union(X0,X0,X0)
| union(X0,X0,X0)
| ~ member(g(X0,X0,X0),X0) ),
inference(resolution,[status(thm)],[f27,f26]) ).
fof(f42,plain,
! [X0] :
( union(X0,X0,X0)
| ~ member(g(X0,X0,X0),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f36]) ).
fof(f45,plain,
! [X0] :
( union(X0,X0,X0)
| union(X0,X0,X0) ),
inference(resolution,[status(thm)],[f42,f26]) ).
fof(f51,plain,
! [X0] : union(X0,X0,X0),
inference(duplicate_literals_removal,[status(thm)],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET778-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:37:12 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.08/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.08/0.41 % Elapsed time: 0.033643 seconds
% 0.08/0.41 % CPU time: 0.082003 seconds
% 0.08/0.41 % Total memory used: 1.516 MB
% 0.08/0.41 % Net memory used: 1.471 MB
%------------------------------------------------------------------------------