%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV405+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 : 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 02:50:43 PM UTC 2026
% Result : Theorem 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV405+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
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:46:44 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f10,axiom,(
% 0.11/0.38 (! [U,V] : ~ pair_in_list(create_slb,U,V) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f24,axiom,(
% 0.11/0.38 (! [U,V] : check_cpq(triple(U,create_slb,V)) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f42,conjecture,(
% 0.11/0.38 (! [U,V] :( check_cpq(triple(U,create_slb,V))<=> (! [W,X] :( pair_in_list(create_slb,W,X)=> less_than(X,W) ) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f43,negated_conjecture,(
% 0.11/0.38 ~((! [U,V] :( check_cpq(triple(U,create_slb,V))<=> (! [W,X] :( pair_in_list(create_slb,W,X)=> less_than(X,W) ) )) ))),
% 0.11/0.38 inference(negated_conjecture,[status(cth)],[f42])).
% 0.11/0.38 fof(f63,plain,(
% 0.11/0.38 ![X0,X1]: (~pair_in_list(create_slb,X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.38 fof(f96,plain,(
% 0.11/0.38 ![X0,X1]: (check_cpq(triple(X0,create_slb,X1)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.38 fof(f144,plain,(
% 0.11/0.38 (?[U,V]: (check_cpq(triple(U,create_slb,V))<~>(![W,X]: (~pair_in_list(create_slb,W,X)|less_than(X,W)))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.11/0.38 fof(f145,plain,(
% 0.11/0.38 ?[U,V]: ((check_cpq(triple(U,create_slb,V))|(![W,X]: (~pair_in_list(create_slb,W,X)|less_than(X,W))))&(~check_cpq(triple(U,create_slb,V))|(?[W,X]: (pair_in_list(create_slb,W,X)&~less_than(X,W)))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f144])).
% 0.11/0.38 fof(f146,plain,(
% 0.11/0.38 ((check_cpq(triple(sK0_skl,create_slb,sK1_skl))|(![W,X]: (~pair_in_list(create_slb,W,X)|less_than(X,W))))&(~check_cpq(triple(sK0_skl,create_slb,sK1_skl))|(pair_in_list(create_slb,sK2_skl,sK3_skl)&~less_than(sK3_skl,sK2_skl))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(W,sK2_skl),skolemize(X,sK3_skl)],[f145])).
% 0.11/0.38 fof(f148,plain,(
% 0.11/0.38 ~check_cpq(triple(sK0_skl,create_slb,sK1_skl))|pair_in_list(create_slb,sK2_skl,sK3_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f146])).
% 0.11/0.38 fof(f150,definition,(
% 0.11/0.38 sQ0_spl <=> (check_cpq(triple(sK0_skl,create_slb,sK1_skl)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f152,plain,(
% 0.11/0.38 ~check_cpq(triple(sK0_skl,create_slb,sK1_skl))|sQ0_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f150])).
% 0.11/0.38 fof(f157,definition,(
% 0.11/0.38 sQ2_spl <=> (pair_in_list(create_slb,sK2_skl,sK3_skl))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f158,plain,(
% 0.11/0.38 pair_in_list(create_slb,sK2_skl,sK3_skl)|~sQ2_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f157])).
% 0.11/0.38 fof(f160,plain,(
% 0.11/0.38 ~sQ0_spl|sQ2_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f148,f150,f157])).
% 0.11/0.38 fof(f182,plain,(
% 0.11/0.38 $false|sQ0_spl),
% 0.11/0.38 inference(backward_subsumption_resolution,[status(thm)],[f152,f96])).
% 0.11/0.38 fof(f183,plain,(
% 0.11/0.38 sQ0_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f182])).
% 0.11/0.38 fof(f184,plain,(
% 0.11/0.38 $false|~sQ2_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f158,f63])).
% 0.11/0.38 fof(f185,plain,(
% 0.11/0.38 ~sQ2_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f184])).
% 0.11/0.38 fof(f186,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(sat_refutation,[status(thm)],[f160,f183,f185])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.41 % Elapsed time: 0.038319 seconds
% 0.11/0.41 % CPU time: 0.071066 seconds
% 0.11/0.41 % Total memory used: 9.702 MB
% 0.11/0.41 % Net memory used: 9.693 MB
%------------------------------------------------------------------------------