%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU355+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 02:22:24 PM UTC 2026
% Result : Theorem 10.34s 1.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU355+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n018.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 06:17:13 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.28/0.51 % Drodi V4.1.1
% 10.34/1.87 % Refutation found
% 10.34/1.87 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.34/1.87 % SZS output start CNFRefutation for theBenchmark
% 10.34/1.87 fof(f89,axiom,(
% 10.34/1.87 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 10.34/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.87 fof(f145,axiom,(
% 10.34/1.87 (! [A] :( rel_str(A)=> (! [B,C] :( element(C,the_carrier(A))=> ( relstr_element_smaller(A,B,C)<=> (! [D] :( element(D,the_carrier(A))=> ( in(D,B)=> related(A,C,D) ) ) )) ) )) )),
% 10.34/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.87 fof(f153,axiom,(
% 10.34/1.87 (! [A] :( rel_str(A)=> (! [B,C] :( element(C,the_carrier(A))=> ( relstr_set_smaller(A,B,C)<=> (! [D] :( element(D,the_carrier(A))=> ( in(D,B)=> related(A,D,C) ) ) )) ) )) )),
% 10.34/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.87 fof(f643,conjecture,(
% 10.34/1.87 (! [A] :( rel_str(A)=> (! [B] :( element(B,the_carrier(A))=> ( relstr_set_smaller(A,empty_set,B)& relstr_element_smaller(A,empty_set,B) ) ) )) )),
% 10.34/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.34/1.87 fof(f644,negated_conjecture,(
% 10.34/1.87 ~((! [A] :( rel_str(A)=> (! [B] :( element(B,the_carrier(A))=> ( relstr_set_smaller(A,empty_set,B)& relstr_element_smaller(A,empty_set,B) ) ) )) ))),
% 10.34/1.87 inference(negated_conjecture,[status(cth)],[f643])).
% 10.34/1.87 fof(f1117,plain,(
% 10.34/1.87 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 10.34/1.87 inference(NNF_transformation,[status(thm)],[f89])).
% 10.34/1.87 fof(f1118,plain,(
% 10.34/1.87 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 10.34/1.87 inference(miniscoping,[status(thm)],[f1117])).
% 10.34/1.87 fof(f1119,plain,(
% 10.34/1.87 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sK48_skl(A),A)))),
% 10.34/1.87 inference(skolemize,[status(esa),new_symbols(skolem,[sK48_skl]),skolemize(B,sK48_skl(A))],[f1118])).
% 10.34/1.87 fof(f1120,plain,(
% 10.34/1.87 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 10.34/1.87 inference(cnf_transformation,[status(thm)],[f1119])).
% 10.34/1.87 fof(f1470,plain,(
% 10.34/1.87 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|(relstr_element_smaller(A,B,C)<=>(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,C,D))))))))),
% 10.34/1.87 inference(pre_NNF_transformation,[status(thm)],[f145])).
% 10.34/1.87 fof(f1471,plain,(
% 10.34/1.87 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|((~relstr_element_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,C,D)))))&(relstr_element_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,C,D)))))))))),
% 10.34/1.87 inference(NNF_transformation,[status(thm)],[f1470])).
% 10.34/1.87 fof(f1472,plain,(
% 10.34/1.87 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_element_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,C,D))))))&(![B]: (relstr_element_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,C,D))))))))))),
% 10.34/1.87 inference(miniscoping,[status(thm)],[f1471])).
% 10.34/1.87 fof(f1473,plain,(
% 10.34/1.87 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_element_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,C,D))))))&(![B]: (relstr_element_smaller(A,B,C)|(element(sK102_skl(B,C,A),the_carrier(A))&(in(sK102_skl(B,C,A),B)&~related(A,C,sK102_skl(B,C,A))))))))))),
% 10.34/1.87 inference(skolemize,[status(esa),new_symbols(skolem,[sK102_skl]),skolemize(D,sK102_skl(B,C,A))],[f1472])).
% 10.34/1.87 fof(f1476,plain,(
% 10.34/1.87 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|relstr_element_smaller(X0,X2,X1)|in(sK102_skl(X2,X1,X0),X2))),
% 10.34/1.87 inference(cnf_transformation,[status(thm)],[f1473])).
% 10.34/1.87 fof(f1525,plain,(
% 10.34/1.87 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|(relstr_set_smaller(A,B,C)<=>(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))))),
% 10.34/1.87 inference(pre_NNF_transformation,[status(thm)],[f153])).
% 10.34/1.87 fof(f1526,plain,(
% 10.34/1.87 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|((~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C)))))&(relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,D,C)))))))))),
% 10.34/1.87 inference(NNF_transformation,[status(thm)],[f1525])).
% 10.34/1.87 fof(f1527,plain,(
% 10.34/1.87 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))&(![B]: (relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,D,C))))))))))),
% 10.34/1.90 inference(miniscoping,[status(thm)],[f1526])).
% 10.34/1.90 fof(f1528,plain,(
% 10.34/1.90 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))&(![B]: (relstr_set_smaller(A,B,C)|(element(sK113_skl(B,C,A),the_carrier(A))&(in(sK113_skl(B,C,A),B)&~related(A,sK113_skl(B,C,A),C)))))))))),
% 10.34/1.90 inference(skolemize,[status(esa),new_symbols(skolem,[sK113_skl]),skolemize(D,sK113_skl(B,C,A))],[f1527])).
% 10.34/1.90 fof(f1531,plain,(
% 10.34/1.90 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|relstr_set_smaller(X0,X2,X1)|in(sK113_skl(X2,X1,X0),X2))),
% 10.34/1.90 inference(cnf_transformation,[status(thm)],[f1528])).
% 10.34/1.90 fof(f3422,plain,(
% 10.34/1.90 (?[A]: (rel_str(A)&(?[B]: (element(B,the_carrier(A))&(~relstr_set_smaller(A,empty_set,B)|~relstr_element_smaller(A,empty_set,B))))))),
% 10.34/1.90 inference(pre_NNF_transformation,[status(thm)],[f644])).
% 10.34/1.90 fof(f3423,plain,(
% 10.34/1.90 (rel_str(sK386_skl)&(element(sK387_skl,the_carrier(sK386_skl))&(~relstr_set_smaller(sK386_skl,empty_set,sK387_skl)|~relstr_element_smaller(sK386_skl,empty_set,sK387_skl))))),
% 10.34/1.90 inference(skolemize,[status(esa),new_symbols(skolem,[sK386_skl,sK387_skl]),skolemize(A,sK386_skl),skolemize(B,sK387_skl)],[f3422])).
% 10.34/1.90 fof(f3424,plain,(
% 10.34/1.90 rel_str(sK386_skl)),
% 10.34/1.90 inference(cnf_transformation,[status(thm)],[f3423])).
% 10.34/1.90 fof(f3425,plain,(
% 10.34/1.90 element(sK387_skl,the_carrier(sK386_skl))),
% 10.34/1.90 inference(cnf_transformation,[status(thm)],[f3423])).
% 10.34/1.90 fof(f3426,plain,(
% 10.34/1.90 ~relstr_set_smaller(sK386_skl,empty_set,sK387_skl)|~relstr_element_smaller(sK386_skl,empty_set,sK387_skl)),
% 10.34/1.90 inference(cnf_transformation,[status(thm)],[f3423])).
% 10.34/1.90 fof(f4321,plain,(
% 10.34/1.90 ![X0,X1]: (~element(X0,the_carrier(sK386_skl))|relstr_element_smaller(sK386_skl,X1,X0)|in(sK102_skl(X1,X0,sK386_skl),X1))),
% 10.34/1.90 inference(resolution,[status(thm)],[f1476,f3424])).
% 10.34/1.90 fof(f4323,plain,(
% 10.34/1.90 ![X0,X1]: (~element(X0,the_carrier(sK386_skl))|relstr_set_smaller(sK386_skl,X1,X0)|in(sK113_skl(X1,X0,sK386_skl),X1))),
% 10.34/1.90 inference(resolution,[status(thm)],[f1531,f3424])).
% 10.34/1.90 fof(f4369,plain,(
% 10.34/1.90 ![X0,X1]: (~element(X0,the_carrier(sK386_skl))|relstr_element_smaller(sK386_skl,X1,X0)|~X1=empty_set)),
% 10.34/1.90 inference(resolution,[status(thm)],[f4321,f1120])).
% 10.34/1.90 fof(f4373,plain,(
% 10.34/1.90 ![X0,X1]: (~element(X0,the_carrier(sK386_skl))|relstr_set_smaller(sK386_skl,X1,X0)|~X1=empty_set)),
% 10.34/1.90 inference(resolution,[status(thm)],[f4323,f1120])).
% 10.34/1.90 fof(f4705,plain,(
% 10.34/1.90 ~element(sK387_skl,the_carrier(sK386_skl))|~empty_set=empty_set|~relstr_element_smaller(sK386_skl,empty_set,sK387_skl)),
% 10.34/1.90 inference(resolution,[status(thm)],[f4373,f3426])).
% 10.34/1.90 fof(f4706,plain,(
% 10.34/1.90 ~element(sK387_skl,the_carrier(sK386_skl))|~relstr_element_smaller(sK386_skl,empty_set,sK387_skl)),
% 10.34/1.90 inference(trivial_equality_resolution,[status(thm)],[f4705])).
% 10.34/1.90 fof(f4707,plain,(
% 10.34/1.90 ~relstr_element_smaller(sK386_skl,empty_set,sK387_skl)),
% 10.34/1.90 inference(forward_subsumption_resolution,[status(thm)],[f4706,f3425])).
% 10.34/1.90 fof(f5354,plain,(
% 10.34/1.90 ~element(sK387_skl,the_carrier(sK386_skl))|~empty_set=empty_set),
% 10.34/1.90 inference(resolution,[status(thm)],[f4707,f4369])).
% 10.34/1.90 fof(f5355,plain,(
% 10.34/1.90 ~element(sK387_skl,the_carrier(sK386_skl))),
% 10.34/1.90 inference(trivial_equality_resolution,[status(thm)],[f5354])).
% 10.34/1.90 fof(f5356,plain,(
% 10.34/1.90 $false),
% 10.34/1.90 inference(forward_subsumption_resolution,[status(thm)],[f5355,f3425])).
% 10.34/1.90 % SZS output end CNFRefutation for theBenchmark.p
% 0.98/1.94 % Elapsed time: 1.474590 seconds
% 0.98/1.94 % CPU time: 10.888836 seconds
% 0.98/1.94 % Total memory used: 278.317 MB
% 0.98/1.94 % Net memory used: 270.859 MB
%------------------------------------------------------------------------------