%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEV436-1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 02:33:36 PM UTC 2026
% Result : Satisfiable 0.09s 0.39s
% Output : Saturation 0.13s
% 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Subset,Superset] :
( member(member_of_1_not_of_2(Subset,Superset),Subset)
| subset(Subset,Superset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Subset,Superset] :
( subset(Subset,Superset)
| ~ member(member_of_1_not_of_2(Subset,Superset),Superset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Subset,Superset] :
( subset(Subset,Superset)
| ~ equal_sets(Subset,Superset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Superset,Subset] :
( subset(Subset,Superset)
| ~ equal_sets(Superset,Subset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Set1,Set2] :
( equal_sets(Set2,Set1)
| ~ subset(Set2,Set1)
| ~ subset(Set1,Set2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Set1,Set2,Union,Element] :
( member(Element,Union)
| ~ member(Element,Set1)
| ~ union(Set1,Set2,Union) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Set1,Set2,Union,Element] :
( member(Element,Union)
| ~ member(Element,Set2)
| ~ union(Set1,Set2,Union) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [Set1,Set2,Intersection,Element] :
( member(Element,Set1)
| ~ member(Element,Intersection)
| ~ intersection(Set1,Set2,Intersection) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Set1,Set2,Intersection,Element] :
( member(Element,Set2)
| ~ member(Element,Intersection)
| ~ intersection(Set1,Set2,Intersection) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Set1,Set2,Intersection,Element] :
( member(Element,Intersection)
| ~ member(Element,Set1)
| ~ member(Element,Set2)
| ~ intersection(Set1,Set2,Intersection) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [Set1,Set2,Intersection] :
( member(h(Set1,Set2,Intersection),Set1)
| intersection(Set1,Set2,Intersection)
| member(h(Set1,Set2,Intersection),Intersection) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [Set1,Set2,Intersection] :
( member(h(Set1,Set2,Intersection),Set2)
| intersection(Set1,Set2,Intersection)
| member(h(Set1,Set2,Intersection),Intersection) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [Set1,Set2,Intersection] :
( intersection(Set1,Set2,Intersection)
| ~ member(h(Set1,Set2,Intersection),Set1)
| ~ member(h(Set1,Set2,Intersection),Set2)
| ~ member(h(Set1,Set2,Intersection),Intersection) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [Set1,Set2,Difference,Element] :
( member(Element,Set1)
| ~ member(Element,Difference)
| ~ difference(Set1,Set2,Difference) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [Element,Set1,Set2,A_set] :
( ~ difference(A_set,Set1,Set2)
| ~ member(Element,Set2)
| ~ member(Element,Set1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Element,Set1,Set2,Difference] :
( member(Element,Set2)
| member(Element,Difference)
| ~ difference(Set1,Set2,Difference)
| ~ member(Element,Set1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Set1,Set2,Difference] :
( member(k(Set1,Set2,Difference),Difference)
| member(k(Set1,Set2,Difference),Set1)
| difference(Set1,Set2,Difference) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Set1,Set2,Difference] :
( difference(Set1,Set2,Difference)
| member(k(Set1,Set2,Difference),Difference)
| ~ member(k(Set1,Set2,Difference),Set2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [Element,Superset] :
( member(Element,Superset)
| ! [Subset] :
( ~ subset(Subset,Superset)
| ~ member(Element,Subset) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f26,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ subset(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f28,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(member_of_1_not_of_2(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f29,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ equal_sets(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ equal_sets(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f31,plain,
! [X0,X1] :
( equal_sets(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f32,plain,
! [Set2,Element] :
( member(Element,Set2)
| ! [Set1] :
( member(Element,Set1)
| ! [Union] :
( ~ member(Element,Union)
| ~ union(Set1,Set2,Union) ) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( member(X3,X1)
| member(X3,X0)
| ~ member(X3,X2)
| ~ union(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [Union,Element] :
( member(Element,Union)
| ! [Set1] :
( ~ member(Element,Set1)
| ! [Set2] : ~ union(Set1,Set2,Union) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( member(X3,X2)
| ~ member(X3,X0)
| ~ union(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [Union,Element] :
( member(Element,Union)
| ! [Set2] :
( ~ member(Element,Set2)
| ! [Set1] : ~ union(Set1,Set2,Union) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( member(X3,X2)
| ~ member(X3,X1)
| ~ union(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,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(f39,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(f40,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(f41,plain,
! [Set1,Element] :
( member(Element,Set1)
| ! [Intersection] :
( ~ member(Element,Intersection)
| ! [Set2] : ~ intersection(Set1,Set2,Intersection) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( member(X3,X0)
| ~ member(X3,X2)
| ~ intersection(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [Set2,Element] :
( member(Element,Set2)
| ! [Intersection] :
( ~ member(Element,Intersection)
| ! [Set1] : ~ intersection(Set1,Set2,Intersection) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( member(X3,X1)
| ~ member(X3,X2)
| ~ intersection(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [Intersection,Element] :
( member(Element,Intersection)
| ! [Set1] :
( ~ member(Element,Set1)
| ! [Set2] :
( ~ member(Element,Set2)
| ~ intersection(Set1,Set2,Intersection) ) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( member(X3,X2)
| ~ member(X3,X0)
| ~ member(X3,X1)
| ~ intersection(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [X0,X1,X2] :
( member(h(X0,X1,X2),X0)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f48,plain,
! [X0,X1,X2] :
( member(h(X0,X1,X2),X1)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f49,plain,
! [X0,X1,X2] :
( intersection(X0,X1,X2)
| ~ member(h(X0,X1,X2),X0)
| ~ member(h(X0,X1,X2),X1)
| ~ member(h(X0,X1,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f50,plain,
! [Set1,Element] :
( member(Element,Set1)
| ! [Difference] :
( ~ member(Element,Difference)
| ! [Set2] : ~ difference(Set1,Set2,Difference) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( member(X3,X0)
| ~ member(X3,X2)
| ~ difference(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [Set1,Set2] :
( ! [A_set] : ~ difference(A_set,Set1,Set2)
| ! [Element] :
( ~ member(Element,Set2)
| ~ member(Element,Set1) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ~ difference(X3,X1,X2)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [Element,Set2] :
( member(Element,Set2)
| ! [Difference] :
( member(Element,Difference)
| ! [Set1] :
( ~ difference(Set1,Set2,Difference)
| ~ member(Element,Set1) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( member(X0,X2)
| member(X0,X3)
| ~ difference(X1,X2,X3)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,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)],[f22]) ).
fof(f57,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)],[f23]) ).
fof(f58,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)],[f24]) ).
fof(f62,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)],[f57,f56]) ).
fof(f66,plain,
! [X0,X1] :
( difference(X0,X0,X1)
| member(k(X0,X0,X1),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f62]) ).
fof(f67,plain,
! [X0] :
( subset(X0,X0)
| subset(X0,X0) ),
inference(resolution,[status(thm)],[f28,f27]) ).
fof(f68,plain,
! [X0] : subset(X0,X0),
inference(duplicate_literals_removal,[status(thm)],[f67]) ).
fof(f72,plain,
! [X0,X1] :
( difference(X0,X1,X0)
| difference(X0,X1,X0)
| member(k(X0,X1,X0),X1)
| ~ member(k(X0,X1,X0),X0) ),
inference(resolution,[status(thm)],[f58,f56]) ).
fof(f76,plain,
! [X0,X1] :
( difference(X0,X1,X0)
| member(k(X0,X1,X0),X1)
| ~ member(k(X0,X1,X0),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f72]) ).
fof(f79,plain,
! [X0,X1] :
( difference(X0,X1,X0)
| difference(X0,X1,X0)
| member(k(X0,X1,X0),X1) ),
inference(resolution,[status(thm)],[f76,f56]) ).
fof(f84,plain,
! [X0,X1] :
( difference(X0,X1,X0)
| member(k(X0,X1,X0),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f79]) ).
fof(f89,plain,
! [X0,X1] :
( difference(X0,X1,X0)
| member(k(X0,X1,X0),X0)
| difference(X0,X1,X0) ),
inference(resolution,[status(thm)],[f84,f57]) ).
fof(f90,plain,
! [X0,X1] :
( member(k(X0,X1,X0),X0)
| difference(X0,X1,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f89]) ).
fof(f95,plain,
! [X0] :
( equal_sets(X0,X0)
| ~ subset(X0,X0) ),
inference(resolution,[status(thm)],[f68,f31]) ).
fof(f97,plain,
! [X0] : equal_sets(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f95,f68]) ).
fof(f98,plain,
! [X0] :
( union(X0,X0,X0)
| union(X0,X0,X0)
| ~ member(g(X0,X0,X0),X0) ),
inference(resolution,[status(thm)],[f39,f38]) ).
fof(f104,plain,
! [X0] :
( union(X0,X0,X0)
| ~ member(g(X0,X0,X0),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f98]) ).
fof(f118,plain,
! [X0,X1] :
( intersection(X0,X1,X1)
| intersection(X0,X1,X1)
| ~ member(h(X0,X1,X1),X0)
| ~ member(h(X0,X1,X1),X1) ),
inference(resolution,[status(thm)],[f49,f48]) ).
fof(f122,plain,
! [X0,X1] :
( intersection(X0,X1,X0)
| intersection(X0,X1,X0)
| ~ member(h(X0,X1,X0),X0)
| ~ member(h(X0,X1,X0),X1) ),
inference(resolution,[status(thm)],[f49,f47]) ).
fof(f126,plain,
! [X0,X1] :
( intersection(X0,X1,X1)
| ~ member(h(X0,X1,X1),X0)
| ~ member(h(X0,X1,X1),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f118]) ).
fof(f128,plain,
! [X0,X1] :
( intersection(X0,X1,X0)
| ~ member(h(X0,X1,X0),X0)
| ~ member(h(X0,X1,X0),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f122]) ).
fof(f130,plain,
! [X0] :
( union(X0,X0,X0)
| union(X0,X0,X0) ),
inference(resolution,[status(thm)],[f104,f38]) ).
fof(f136,plain,
! [X0] : union(X0,X0,X0),
inference(duplicate_literals_removal,[status(thm)],[f130]) ).
fof(f142,plain,
! [X0,X1] :
( intersection(X0,X1,X1)
| intersection(X0,X1,X1)
| ~ member(h(X0,X1,X1),X0) ),
inference(resolution,[status(thm)],[f126,f48]) ).
fof(f150,plain,
! [X0,X1] :
( intersection(X0,X1,X1)
| ~ member(h(X0,X1,X1),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f142]) ).
fof(f159,plain,
! [X0] :
( intersection(X0,X0,X0)
| intersection(X0,X0,X0) ),
inference(resolution,[status(thm)],[f150,f48]) ).
fof(f164,plain,
! [X0,X1] :
( intersection(X0,X1,X1)
| member(h(X0,X1,X1),X1)
| intersection(X0,X1,X1) ),
inference(resolution,[status(thm)],[f150,f47]) ).
fof(f167,plain,
! [X0] : intersection(X0,X0,X0),
inference(duplicate_literals_removal,[status(thm)],[f159]) ).
fof(f172,plain,
! [X0,X1] :
( member(h(X0,X1,X1),X1)
| intersection(X0,X1,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV436-1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 07:21:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.09/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.050946 seconds
% 0.13/0.42 % CPU time: 0.070099 seconds
% 0.13/0.42 % Total memory used: 1.001 MB
% 0.13/0.42 % Net memory used: 920.176 KB
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