%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET780-1 : 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 : n005.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 0.16s 5.40s
% Output : Saturation 0.16s
% 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,Difference,Element] :
( member(Element,Set1)
| ~ member(Element,Difference)
| ~ difference(Set1,Set2,Difference) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Element,Set1,Set2,A_set] :
( ~ difference(A_set,Set1,Set2)
| ~ member(Element,Set2)
| ~ member(Element,Set1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Element,Set1,Set2,Difference] :
( member(Element,Set2)
| member(Element,Difference)
| ~ difference(Set1,Set2,Difference)
| ~ member(Element,Set1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Set1,Set2,Difference] :
( member(k(Set1,Set2,Difference),Difference)
| member(k(Set1,Set2,Difference),Set1)
| difference(Set1,Set2,Difference) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [Set1,Set2,Difference] :
( difference(Set1,Set2,Difference)
| member(k(Set1,Set2,Difference),Difference)
| ~ member(k(Set1,Set2,Difference),Set2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [Set1,Set2,Difference] :
( difference(Set1,Set2,Difference)
| member(k(Set1,Set2,Difference),Set2)
| ~ member(k(Set1,Set2,Difference),Set1)
| ~ member(k(Set1,Set2,Difference),Difference) ),
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,
! [Set1,Element] :
( member(Element,Set1)
| ! [Difference] :
( ~ member(Element,Difference)
| ! [Set2] : ~ difference(Set1,Set2,Difference) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( member(X3,X0)
| ~ member(X3,X2)
| ~ difference(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [Set1,Set2] :
( ! [A_set] : ~ difference(A_set,Set1,Set2)
| ! [Element] :
( ~ member(Element,Set2)
| ~ member(Element,Set1) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( ~ difference(X3,X1,X2)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [Element,Set2] :
( member(Element,Set2)
| ! [Difference] :
( member(Element,Difference)
| ! [Set1] :
( ~ difference(Set1,Set2,Difference)
| ~ member(Element,Set1) ) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( member(X0,X2)
| member(X0,X3)
| ~ difference(X1,X2,X3)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( member(k(X0,X1,X2),X2)
| member(k(X0,X1,X2),X0)
| difference(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
! [X0,X1,X2] :
( difference(X0,X1,X2)
| member(k(X0,X1,X2),X2)
| ~ member(k(X0,X1,X2),X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
! [X0,X1,X2] :
( difference(X0,X1,X2)
| member(k(X0,X1,X2),X1)
| ~ member(k(X0,X1,X2),X0)
| ~ member(k(X0,X1,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f29,plain,
! [X0,X1,X2] :
( member(member_of_1_not_of_2(X0,X1),X2)
| ~ subset(X0,X2)
| subset(X0,X1) ),
inference(resolution,[status(thm)],[f15,f14]) ).
fof(f30,plain,
! [X0,X1,X2] :
( member(k(X0,X1,X0),X2)
| ~ subset(X0,X2)
| difference(X0,X1,X0) ),
inference(resolution,[status(thm)],[f26,f14]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( member(k(X0,X1,X2),X3)
| ~ subset(X0,X3)
| member(k(X0,X1,X2),X2)
| difference(X0,X1,X2) ),
inference(resolution,[status(thm)],[f26,f14]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( member(k(X0,X1,X2),X3)
| ~ subset(X2,X3)
| member(k(X0,X1,X2),X0)
| difference(X0,X1,X2) ),
inference(resolution,[status(thm)],[f26,f14]) ).
fof(f36,plain,
! [X0,X1] :
( member(k(X0,X0,X1),X1)
| difference(X0,X0,X1)
| difference(X0,X0,X1)
| member(k(X0,X0,X1),X1) ),
inference(resolution,[status(thm)],[f27,f26]) ).
fof(f40,plain,
! [X0,X1] :
( difference(X0,X0,X1)
| member(k(X0,X0,X1),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f36]) ).
fof(f53,plain,
! [X0,X1,X2] :
( member(k(X0,X0,X1),X2)
| ~ subset(X1,X2)
| difference(X0,X0,X1) ),
inference(resolution,[status(thm)],[f40,f14]) ).
fof(f55,plain,
! [X0] :
( subset(X0,X0)
| subset(X0,X0) ),
inference(resolution,[status(thm)],[f16,f15]) ).
fof(f56,plain,
! [X0] : subset(X0,X0),
inference(duplicate_literals_removal,[status(thm)],[f55]) ).
fof(f59,plain,
! [X0,X1] :
( member(k(X0,X1,X0),X0)
| difference(X0,X1,X0) ),
inference(resolution,[status(thm)],[f56,f30]) ).
fof(f61,plain,
! [X0] :
( equal_sets(X0,X0)
| ~ subset(X0,X0) ),
inference(resolution,[status(thm)],[f19,f56]) ).
fof(f62,plain,
! [X0] : equal_sets(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f61,f56]) ).
fof(f63,plain,
! [X0,X1] :
( difference(X0,X1,X0)
| member(k(X0,X1,X0),X1)
| ~ member(k(X0,X1,X0),X0)
| difference(X0,X1,X0) ),
inference(resolution,[status(thm)],[f59,f28]) ).
fof(f66,plain,
! [X0,X1] :
( member(k(X0,X1,X0),X1)
| ~ member(k(X0,X1,X0),X0)
| difference(X0,X1,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f63]) ).
fof(f67,plain,
! [X0,X1] :
( member(k(X0,X1,X0),X1)
| difference(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f66,f59]) ).
fof(f71,plain,
! [X0,X1,X2] :
( member(k(X0,X1,X0),X2)
| ~ subset(X1,X2)
| difference(X0,X1,X0) ),
inference(resolution,[status(thm)],[f67,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET780-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.39 % Computer : n005.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Mon Sep 21 05:37:23 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.16/5.40 % Drodi V4.1.1
% 0.16/5.40 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.16/5.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.16/5.45 % Elapsed time: 0.051184 seconds
% 0.16/5.45 % CPU time: 0.044936 seconds
% 0.16/5.45 % Total memory used: 612.304 KB
% 0.16/5.45 % Net memory used: 585.248 KB
%------------------------------------------------------------------------------