%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU355+1 : 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 : n015.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 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU355+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n015.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
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 06:18:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (! [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) ) ) )) ) )) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,axiom,(
% 0.10/0.40 (! [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) ) ) )) ) )) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f15,axiom,(
% 0.10/0.40 (? [A] : empty(A) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f19,axiom,(
% 0.10/0.40 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f20,conjecture,(
% 0.10/0.40 (! [A] :( rel_str(A)=> (! [B] :( element(B,the_carrier(A))=> ( relstr_set_smaller(A,empty_set,B)& relstr_element_smaller(A,empty_set,B) ) ) )) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f21,negated_conjecture,(
% 0.10/0.40 ~((! [A] :( rel_str(A)=> (! [B] :( element(B,the_carrier(A))=> ( relstr_set_smaller(A,empty_set,B)& relstr_element_smaller(A,empty_set,B) ) ) )) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f20])).
% 0.10/0.40 fof(f22,axiom,(
% 0.10/0.40 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f28,plain,(
% 0.10/0.40 ![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))))))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f29,plain,(
% 0.10/0.40 ![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)))))))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f28])).
% 0.10/0.40 fof(f30,plain,(
% 0.10/0.40 ![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))))))))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f29])).
% 0.10/0.40 fof(f31,plain,(
% 0.10/0.40 ![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(sK0_skl(B,C,A),the_carrier(A))&(in(sK0_skl(B,C,A),B)&~related(A,C,sK0_skl(B,C,A))))))))))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(B,C,A))],[f30])).
% 0.10/0.40 fof(f34,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|relstr_element_smaller(X0,X2,X1)|in(sK0_skl(X2,X1,X0),X2))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.40 fof(f36,plain,(
% 0.10/0.40 ![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))))))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.10/0.40 fof(f37,plain,(
% 0.10/0.40 ![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)))))))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f36])).
% 0.10/0.40 fof(f38,plain,(
% 0.10/0.40 ![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))))))))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f37])).
% 0.10/0.40 fof(f39,plain,(
% 0.10/0.40 ![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(sK1_skl(B,C,A),the_carrier(A))&(in(sK1_skl(B,C,A),B)&~related(A,sK1_skl(B,C,A),C)))))))))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(B,C,A))],[f38])).
% 0.10/0.40 fof(f42,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|relstr_set_smaller(X0,X2,X1)|in(sK1_skl(X2,X1,X0),X2))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.40 fof(f56,plain,(
% 0.10/0.40 empty(sK6_skl)),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(A,sK6_skl)],[f15])).
% 0.10/0.40 fof(f57,plain,(
% 0.10/0.40 empty(sK6_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f56])).
% 0.10/0.40 fof(f64,plain,(
% 0.10/0.40 ![A]: (~empty(A)|A=empty_set)),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.10/0.40 fof(f65,plain,(
% 0.10/0.40 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f64])).
% 0.10/0.40 fof(f66,plain,(
% 0.10/0.40 (?[A]: (rel_str(A)&(?[B]: (element(B,the_carrier(A))&(~relstr_set_smaller(A,empty_set,B)|~relstr_element_smaller(A,empty_set,B))))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.10/0.40 fof(f67,plain,(
% 0.10/0.40 (rel_str(sK8_skl)&(element(sK9_skl,the_carrier(sK8_skl))&(~relstr_set_smaller(sK8_skl,empty_set,sK9_skl)|~relstr_element_smaller(sK8_skl,empty_set,sK9_skl))))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(A,sK8_skl),skolemize(B,sK9_skl)],[f66])).
% 0.10/0.40 fof(f68,plain,(
% 0.10/0.40 rel_str(sK8_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f67])).
% 0.10/0.40 fof(f69,plain,(
% 0.10/0.40 element(sK9_skl,the_carrier(sK8_skl))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f67])).
% 0.10/0.40 fof(f70,plain,(
% 0.10/0.40 ~relstr_set_smaller(sK8_skl,empty_set,sK9_skl)|~relstr_element_smaller(sK8_skl,empty_set,sK9_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f67])).
% 0.10/0.40 fof(f71,plain,(
% 0.10/0.40 ![A,B]: (~in(A,B)|~empty(B))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.10/0.40 fof(f72,plain,(
% 0.10/0.40 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f71])).
% 0.10/0.40 fof(f73,plain,(
% 0.10/0.40 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f72])).
% 0.10/0.40 fof(f78,plain,(
% 0.10/0.40 sK6_skl=empty_set),
% 0.10/0.40 inference(resolution,[status(thm)],[f57,f65])).
% 0.10/0.40 fof(f81,plain,(
% 0.10/0.40 ~relstr_set_smaller(sK8_skl,empty_set,sK9_skl)|~relstr_element_smaller(sK8_skl,sK6_skl,sK9_skl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f78,f70])).
% 0.10/0.40 fof(f82,plain,(
% 0.10/0.40 ~relstr_set_smaller(sK8_skl,sK6_skl,sK9_skl)|~relstr_element_smaller(sK8_skl,sK6_skl,sK9_skl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f78,f81])).
% 0.10/0.40 fof(f95,plain,(
% 0.10/0.40 ![X0,X1]: (~element(X0,the_carrier(sK8_skl))|relstr_element_smaller(sK8_skl,X1,X0)|in(sK0_skl(X1,X0,sK8_skl),X1))),
% 0.10/0.40 inference(resolution,[status(thm)],[f34,f68])).
% 0.10/0.40 fof(f101,plain,(
% 0.10/0.40 ![X0]: (relstr_element_smaller(sK8_skl,X0,sK9_skl)|in(sK0_skl(X0,sK9_skl,sK8_skl),X0))),
% 0.10/0.40 inference(resolution,[status(thm)],[f95,f69])).
% 0.10/0.40 fof(f104,plain,(
% 0.10/0.40 ![X0]: (relstr_element_smaller(sK8_skl,X0,sK9_skl)|~empty(X0))),
% 0.10/0.40 inference(resolution,[status(thm)],[f101,f73])).
% 0.10/0.40 fof(f110,plain,(
% 0.10/0.40 relstr_element_smaller(sK8_skl,sK6_skl,sK9_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f104,f57])).
% 0.10/0.40 fof(f111,plain,(
% 0.10/0.40 ~relstr_set_smaller(sK8_skl,sK6_skl,sK9_skl)),
% 0.10/0.40 inference(backward_subsumption_resolution,[status(thm)],[f82,f110])).
% 0.10/0.40 fof(f130,plain,(
% 0.10/0.40 ![X0,X1]: (~element(X0,the_carrier(sK8_skl))|relstr_set_smaller(sK8_skl,X1,X0)|in(sK1_skl(X1,X0,sK8_skl),X1))),
% 0.10/0.40 inference(resolution,[status(thm)],[f42,f68])).
% 0.10/0.40 fof(f140,plain,(
% 0.10/0.40 ![X0,X1]: (~element(X0,the_carrier(sK8_skl))|relstr_set_smaller(sK8_skl,X1,X0)|~empty(X1))),
% 0.10/0.40 inference(resolution,[status(thm)],[f130,f73])).
% 0.10/0.40 fof(f142,plain,(
% 0.10/0.40 ![X0]: (~element(X0,the_carrier(sK8_skl))|relstr_set_smaller(sK8_skl,sK6_skl,X0))),
% 0.10/0.40 inference(resolution,[status(thm)],[f140,f57])).
% 0.10/0.40 fof(f146,plain,(
% 0.10/0.40 relstr_set_smaller(sK8_skl,sK6_skl,sK9_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f142,f69])).
% 0.10/0.40 fof(f148,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f146,f111])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.060219 seconds
% 0.13/0.43 % CPU time: 0.146436 seconds
% 0.13/0.43 % Total memory used: 80.999 MB
% 0.13/0.43 % Net memory used: 80.750 MB
%------------------------------------------------------------------------------