%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET016-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 02:11:11 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET016-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:42:34 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (![X]: (member(X,singleton_set(X)) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (![X,Y]: (( ~ member(X,singleton_set(Y))| X = Y ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (![X,Y]: (member(X,unordered_pair(X,Y)) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (![X,Y,Z]: (( ~ member(X,unordered_pair(Y,Z))| X = Y| X = Z ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,axiom,(
% 0.14/0.38 (![X,Y]: (ordered_pair(X,Y) = unordered_pair(singleton_set(X),unordered_pair(X,Y)) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,hypothesis,(
% 0.14/0.38 ordered_pair(m1,r1) = ordered_pair(m2,r2) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f8,negated_conjecture,(
% 0.14/0.38 m1 != m2 ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,plain,(
% 0.14/0.38 ![X0]: (member(X0,singleton_set(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f10,plain,(
% 0.14/0.38 ![X0,X1]: (~member(X0,singleton_set(X1))|X0=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f11,plain,(
% 0.14/0.38 ![X0,X1]: (member(X0,unordered_pair(X0,X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 ![X,Z]: ((![Y]: (~member(X,unordered_pair(Y,Z))|X=Y))|X=Z)),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(singleton_set(X0),unordered_pair(X0,X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 ordered_pair(m1,r1)=ordered_pair(m2,r2)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 ~m1=m2),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.38 fof(f22,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~member(X0,ordered_pair(X1,X2))|X0=singleton_set(X1)|X0=unordered_pair(X1,X2))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f15,f14])).
% 0.14/0.38 fof(f24,plain,(
% 0.14/0.38 ![X0,X1]: (member(singleton_set(X0),ordered_pair(X0,X1)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f15,f11])).
% 0.14/0.38 fof(f35,plain,(
% 0.14/0.38 ![X0]: (~member(X0,ordered_pair(m2,r2))|X0=singleton_set(m1)|X0=unordered_pair(m1,r1))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f16,f22])).
% 0.14/0.38 fof(f36,definition,(
% 0.14/0.38 sQ0_spl <=> (unordered_pair(m1,r1)=singleton_set(m2))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f37,plain,(
% 0.14/0.38 unordered_pair(m1,r1)=singleton_set(m2)|~sQ0_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f36])).
% 0.14/0.38 fof(f43,definition,(
% 0.14/0.38 sQ2_spl <=> (singleton_set(m1)=singleton_set(m2))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f44,plain,(
% 0.14/0.38 singleton_set(m1)=singleton_set(m2)|~sQ2_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f43])).
% 0.14/0.38 fof(f55,plain,(
% 0.14/0.38 member(m1,singleton_set(m2))|~sQ2_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f44,f9])).
% 0.14/0.38 fof(f56,plain,(
% 0.14/0.38 m1=m2|~sQ2_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f55,f10])).
% 0.14/0.38 fof(f57,plain,(
% 0.14/0.38 $false|~sQ2_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f56,f17])).
% 0.14/0.38 fof(f58,plain,(
% 0.14/0.38 ~sQ2_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f57])).
% 0.14/0.38 fof(f69,plain,(
% 0.14/0.38 singleton_set(m2)=singleton_set(m1)|singleton_set(m2)=unordered_pair(m1,r1)),
% 0.14/0.38 inference(resolution,[status(thm)],[f35,f24])).
% 0.14/0.38 fof(f78,plain,(
% 0.14/0.38 sQ2_spl|sQ0_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f69,f43,f36])).
% 0.14/0.38 fof(f86,plain,(
% 0.14/0.38 member(m1,singleton_set(m2))|~sQ0_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f37,f11])).
% 0.14/0.38 fof(f94,plain,(
% 0.14/0.38 m1=m2|~sQ0_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f86,f10])).
% 0.14/0.38 fof(f95,plain,(
% 0.14/0.38 $false|~sQ0_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f94,f17])).
% 0.14/0.38 fof(f96,plain,(
% 0.14/0.38 ~sQ0_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f95])).
% 0.14/0.38 fof(f97,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f58,f78,f96])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.050878 seconds
% 0.14/0.41 % CPU time: 0.144063 seconds
% 0.14/0.41 % Total memory used: 79.162 MB
% 0.14/0.41 % Net memory used: 78.744 MB
%------------------------------------------------------------------------------