%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV399+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV399+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:46:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f1,axiom,(
% 0.09/0.41 (! [U,V,W] :( ( less_than(U,V)& less_than(V,W) )=> less_than(U,W) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f2,axiom,(
% 0.09/0.41 (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f4,axiom,(
% 0.09/0.41 (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f5,axiom,(
% 0.09/0.41 (! [U] : less_than(bottom,U) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f19,lemma,(
% 0.09/0.41 (! [U,V,W,X] :( ( pair_in_list(U,V,W)& less_than(X,W) )=> pair_in_list(update_slb(U,X),V,W) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f20,lemma,(
% 0.09/0.41 (! [U,V,W,X] :( ( pair_in_list(U,V,W)& strictly_less_than(W,X) )=> pair_in_list(update_slb(U,X),V,X) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f21,conjecture,(
% 0.09/0.41 (! [U] :( (? [V,W] :( pair_in_list(U,V,W)& strictly_less_than(V,W) ))=> (! [X] :(? [Y,Z] :( pair_in_list(update_slb(U,X),Y,Z)& strictly_less_than(Y,Z) ) ))) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f22,negated_conjecture,(
% 0.09/0.41 ~((! [U] :( (? [V,W] :( pair_in_list(U,V,W)& strictly_less_than(V,W) ))=> (! [X] :(? [Y,Z] :( pair_in_list(update_slb(U,X),Y,Z)& strictly_less_than(Y,Z) ) ))) ))),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f21])).
% 0.09/0.41 fof(f23,plain,(
% 0.09/0.41 ![U,V,W]: ((~less_than(U,V)|~less_than(V,W))|less_than(U,W))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.09/0.41 fof(f24,plain,(
% 0.09/0.41 ![U,W]: ((![V]: (~less_than(U,V)|~less_than(V,W)))|less_than(U,W))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f23])).
% 0.09/0.41 fof(f25,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~less_than(X0,X1)|~less_than(X1,X2)|less_than(X0,X2))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.41 fof(f26,plain,(
% 0.09/0.41 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.41 fof(f28,plain,(
% 0.09/0.41 ![U,V]: ((~strictly_less_than(U,V)|(less_than(U,V)&~less_than(V,U)))&(strictly_less_than(U,V)|(~less_than(U,V)|less_than(V,U))))),
% 0.09/0.41 inference(NNF_transformation,[status(thm)],[f4])).
% 0.09/0.41 fof(f29,plain,(
% 0.09/0.41 (![U,V]: (~strictly_less_than(U,V)|(less_than(U,V)&~less_than(V,U))))&(![U,V]: (strictly_less_than(U,V)|(~less_than(U,V)|less_than(V,U))))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f28])).
% 0.09/0.41 fof(f30,plain,(
% 0.09/0.41 ![X0,X1]: (~strictly_less_than(X0,X1)|less_than(X0,X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.41 fof(f31,plain,(
% 0.09/0.41 ![X0,X1]: (~strictly_less_than(X0,X1)|~less_than(X1,X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.41 fof(f32,plain,(
% 0.09/0.41 ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.41 fof(f33,plain,(
% 0.09/0.41 ![X0]: (less_than(bottom,X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.41 fof(f64,plain,(
% 0.09/0.41 ![U,V,W,X]: ((~pair_in_list(U,V,W)|~less_than(X,W))|pair_in_list(update_slb(U,X),V,W))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.09/0.41 fof(f65,plain,(
% 0.09/0.41 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~less_than(X3,X2)|pair_in_list(update_slb(X0,X3),X1,X2))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f64])).
% 0.09/0.41 fof(f66,plain,(
% 0.09/0.41 ![U,V,W,X]: ((~pair_in_list(U,V,W)|~strictly_less_than(W,X))|pair_in_list(update_slb(U,X),V,X))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.09/0.41 fof(f67,plain,(
% 0.09/0.41 ![U,V,X]: ((![W]: (~pair_in_list(U,V,W)|~strictly_less_than(W,X)))|pair_in_list(update_slb(U,X),V,X))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f66])).
% 0.09/0.41 fof(f68,plain,(
% 0.09/0.41 ![X0,X1,X2,X3]: (~pair_in_list(X0,X1,X2)|~strictly_less_than(X2,X3)|pair_in_list(update_slb(X0,X3),X1,X3))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f67])).
% 0.09/0.41 fof(f69,plain,(
% 0.09/0.41 (?[U]: ((?[V,W]: (pair_in_list(U,V,W)&strictly_less_than(V,W)))&(?[X]: ![Y,Z]: (~pair_in_list(update_slb(U,X),Y,Z)|~strictly_less_than(Y,Z)))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.09/0.41 fof(f70,plain,(
% 0.09/0.41 ((pair_in_list(sK0_skl,sK1_skl,sK2_skl)&strictly_less_than(sK1_skl,sK2_skl))&![Y,Z]: (~pair_in_list(update_slb(sK0_skl,sK3_skl),Y,Z)|~strictly_less_than(Y,Z)))),
% 0.09/0.41 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)],[f69])).
% 0.09/0.41 fof(f71,plain,(
% 0.09/0.41 pair_in_list(sK0_skl,sK1_skl,sK2_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.41 fof(f72,plain,(
% 0.09/0.41 strictly_less_than(sK1_skl,sK2_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.41 fof(f73,plain,(
% 0.09/0.41 ![X0,X1]: (~pair_in_list(update_slb(sK0_skl,sK3_skl),X0,X1)|~strictly_less_than(X0,X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.41 fof(f76,plain,(
% 0.09/0.41 ![X0,X1]: (~strictly_less_than(X0,X1)|~strictly_less_than(X1,X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f31,f30])).
% 0.09/0.41 fof(f85,plain,(
% 0.09/0.41 ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 0.09/0.41 inference(backward_subsumption_resolution,[status(thm)],[f32,f26])).
% 0.09/0.41 fof(f89,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~less_than(X0,X1)|~less_than(X1,X2)|~strictly_less_than(X2,X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f25,f31])).
% 0.09/0.41 fof(f91,plain,(
% 0.09/0.41 ![X0]: (~less_than(sK2_skl,X0)|~less_than(X0,sK1_skl))),
% 0.09/0.41 inference(resolution,[status(thm)],[f89,f72])).
% 0.09/0.41 fof(f92,plain,(
% 0.09/0.41 ![X0]: (~less_than(X0,sK1_skl)|strictly_less_than(X0,sK2_skl))),
% 0.09/0.41 inference(resolution,[status(thm)],[f91,f85])).
% 0.09/0.41 fof(f95,plain,(
% 0.09/0.41 ![X0]: (~less_than(X0,sK1_skl)|less_than(X0,sK2_skl))),
% 0.09/0.41 inference(resolution,[status(thm)],[f91,f26])).
% 0.09/0.41 fof(f100,plain,(
% 0.09/0.41 strictly_less_than(bottom,sK2_skl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f92,f33])).
% 0.09/0.41 fof(f104,plain,(
% 0.09/0.41 ![X0]: (strictly_less_than(X0,sK2_skl)|less_than(sK1_skl,X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f92,f26])).
% 0.09/0.41 fof(f114,plain,(
% 0.09/0.41 ![X0]: (~less_than(sK2_skl,X0)|~less_than(X0,bottom))),
% 0.09/0.41 inference(resolution,[status(thm)],[f100,f89])).
% 0.09/0.41 fof(f147,definition,(
% 0.09/0.41 sQ1_spl <=> (strictly_less_than(sK1_skl,sK2_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f151,plain,(
% 0.09/0.41 strictly_less_than(sK1_skl,sK2_skl)|strictly_less_than(sK1_skl,sK2_skl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f104,f92])).
% 0.09/0.41 fof(f154,plain,(
% 0.09/0.41 sQ1_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f151,f147])).
% 0.09/0.41 fof(f158,plain,(
% 0.09/0.41 ![X0]: (~less_than(X0,bottom)|strictly_less_than(X0,sK2_skl))),
% 0.09/0.41 inference(resolution,[status(thm)],[f114,f85])).
% 0.09/0.41 fof(f161,plain,(
% 0.09/0.41 ![X0]: (~less_than(X0,bottom)|less_than(X0,sK2_skl))),
% 0.09/0.41 inference(resolution,[status(thm)],[f114,f26])).
% 0.09/0.41 fof(f166,definition,(
% 0.09/0.41 sQ2_spl <=> (less_than(sK2_skl,bottom))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f193,plain,(
% 0.09/0.41 ![X0]: (strictly_less_than(X0,sK2_skl)|strictly_less_than(bottom,X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f158,f85])).
% 0.09/0.41 fof(f201,definition,(
% 0.09/0.41 sQ3_spl <=> (strictly_less_than(bottom,sK2_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f205,plain,(
% 0.09/0.41 ~less_than(sK2_skl,bottom)|~less_than(sK2_skl,bottom)),
% 0.09/0.41 inference(resolution,[status(thm)],[f161,f114])).
% 0.09/0.41 fof(f209,plain,(
% 0.09/0.41 ~sQ2_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f205,f166])).
% 0.09/0.41 fof(f211,plain,(
% 0.09/0.41 ![X0,X1]: (~pair_in_list(sK0_skl,X0,X1)|~less_than(sK3_skl,X1)|~strictly_less_than(X0,X1))),
% 0.09/0.41 inference(resolution,[status(thm)],[f65,f73])).
% 0.09/0.41 fof(f213,plain,(
% 0.09/0.41 ![X0,X1]: (~pair_in_list(sK0_skl,X0,X1)|~strictly_less_than(X1,sK3_skl)|~strictly_less_than(X0,sK3_skl))),
% 0.09/0.41 inference(resolution,[status(thm)],[f68,f73])).
% 0.09/0.41 fof(f223,plain,(
% 0.09/0.41 ![X0]: (strictly_less_than(bottom,X0)|~strictly_less_than(sK2_skl,X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f193,f76])).
% 0.09/0.41 fof(f235,plain,(
% 0.09/0.41 strictly_less_than(bottom,sK2_skl)|strictly_less_than(bottom,sK2_skl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f223,f193])).
% 0.09/0.41 fof(f237,plain,(
% 0.09/0.41 sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f235,f201])).
% 0.09/0.41 fof(f321,plain,(
% 0.09/0.41 ~less_than(sK3_skl,sK2_skl)|~strictly_less_than(sK1_skl,sK2_skl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f211,f71])).
% 0.09/0.41 fof(f322,definition,(
% 0.09/0.41 sQ7_spl <=> (less_than(sK3_skl,sK2_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f324,plain,(
% 0.09/0.41 ~less_than(sK3_skl,sK2_skl)|sQ7_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f322])).
% 0.09/0.41 fof(f325,plain,(
% 0.09/0.41 ~sQ7_spl|~sQ1_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f321,f322,f147])).
% 0.09/0.41 fof(f327,plain,(
% 0.09/0.41 ~less_than(sK3_skl,sK1_skl)|sQ7_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f324,f95])).
% 0.09/0.41 fof(f328,plain,(
% 0.09/0.41 strictly_less_than(sK2_skl,sK3_skl)|sQ7_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f324,f85])).
% 0.09/0.41 fof(f338,plain,(
% 0.09/0.41 strictly_less_than(sK1_skl,sK3_skl)|sQ7_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f327,f85])).
% 0.09/0.41 fof(f423,plain,(
% 0.09/0.41 ~strictly_less_than(sK2_skl,sK3_skl)|~strictly_less_than(sK1_skl,sK3_skl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f213,f71])).
% 0.09/0.41 fof(f424,definition,(
% 0.09/0.41 sQ8_spl <=> (strictly_less_than(sK2_skl,sK3_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f426,plain,(
% 0.09/0.41 ~strictly_less_than(sK2_skl,sK3_skl)|sQ8_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f424])).
% 0.09/0.41 fof(f427,definition,(
% 0.09/0.41 sQ9_spl <=> (strictly_less_than(sK1_skl,sK3_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f429,plain,(
% 0.09/0.41 ~strictly_less_than(sK1_skl,sK3_skl)|sQ9_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f427])).
% 0.09/0.41 fof(f430,plain,(
% 0.09/0.41 ~sQ8_spl|~sQ9_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f423,f424,f427])).
% 0.09/0.41 fof(f431,plain,(
% 0.09/0.41 $false|sQ7_spl|sQ8_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f426,f328])).
% 0.09/0.41 fof(f432,plain,(
% 0.09/0.41 sQ7_spl|sQ8_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f431])).
% 0.09/0.41 fof(f433,plain,(
% 0.09/0.41 $false|sQ7_spl|sQ9_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f429,f338])).
% 0.09/0.41 fof(f434,plain,(
% 0.09/0.41 sQ7_spl|sQ9_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f433])).
% 0.09/0.41 fof(f435,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(sat_refutation,[status(thm)],[f154,f209,f237,f325,f430,f432,f434])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.45 % Elapsed time: 0.076057 seconds
% 0.09/0.45 % CPU time: 0.275540 seconds
% 0.09/0.45 % Total memory used: 103.756 MB
% 0.09/0.45 % Net memory used: 103.418 MB
%------------------------------------------------------------------------------