%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV376+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 : 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 02:50:40 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV376+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
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:46:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f28,axiom,(
% 0.13/0.40 (! [U,V] :( ok(triple(U,V,bad))<=> $false ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f29,axiom,(
% 0.13/0.40 (! [U,V,W] :( ~ ok(triple(U,V,W))=> W = bad ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f42,axiom,(
% 0.13/0.40 ( (! [U,V,W,X,Y,Z] :( succ_cpq(triple(U,V,W),triple(X,Y,Z))=> ( ~ ok(triple(X,Y,Z))=> ~ ok(im_succ_cpq(triple(X,Y,Z))) ) ))=> (! [X1,X2,X3] :( ~ ok(triple(X1,X2,X3))=> (! [X4,X5,X6] :( succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))=> ~ ok(triple(X4,X5,X6)) ) )) )) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f43,lemma,(
% 0.13/0.40 (! [U,V,W] :( ~ ok(triple(U,V,W))=> ~ ok(im_succ_cpq(triple(U,V,W))) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f44,conjecture,(
% 0.13/0.40 (! [U,V,W] :( ~ ok(triple(U,V,W))=> (! [X,Y,Z] :( succ_cpq(triple(U,V,W),triple(X,Y,Z))=> ~ ok(triple(X,Y,Z)) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f45,negated_conjecture,(
% 0.13/0.40 ~((! [U,V,W] :( ~ ok(triple(U,V,W))=> (! [X,Y,Z] :( succ_cpq(triple(U,V,W),triple(X,Y,Z))=> ~ ok(triple(X,Y,Z)) ) )) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f44])).
% 0.13/0.40 fof(f113,plain,(
% 0.13/0.40 ![U,V]: ((~ok(triple(U,V,bad))|$false)&(ok(triple(U,V,bad))|$true))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f28])).
% 0.13/0.40 fof(f114,plain,(
% 0.13/0.40 ((![U,V]: ~ok(triple(U,V,bad)))|$false)&((![U,V]: ok(triple(U,V,bad)))|$true)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f113])).
% 0.13/0.40 fof(f115,plain,(
% 0.13/0.40 ![U,V]: ~ok(triple(U,V,bad))),
% 0.13/0.40 inference(true_and_false_simplification,[status(thm)],[f114])).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 ![X0,X1]: (~ok(triple(X0,X1,bad)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.13/0.40 fof(f117,plain,(
% 0.13/0.40 ![U,V,W]: (ok(triple(U,V,W))|W=bad)),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 ![W]: ((![U,V]: ok(triple(U,V,W)))|W=bad)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f117])).
% 0.13/0.40 fof(f119,plain,(
% 0.13/0.40 ![X0,X1,X2]: (ok(triple(X0,X1,X2))|X2=bad)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f118])).
% 0.13/0.40 fof(f146,plain,(
% 0.13/0.40 (?[U,V,W,X,Y,Z]: (succ_cpq(triple(U,V,W),triple(X,Y,Z))&(~ok(triple(X,Y,Z))&ok(im_succ_cpq(triple(X,Y,Z))))))|(![X1,X2,X3]: (ok(triple(X1,X2,X3))|(![X4,X5,X6]: (~succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))|~ok(triple(X4,X5,X6))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.13/0.40 fof(f147,plain,(
% 0.13/0.40 (?[X,Y,Z]: ((?[U,V,W]: succ_cpq(triple(U,V,W),triple(X,Y,Z)))&(~ok(triple(X,Y,Z))&ok(im_succ_cpq(triple(X,Y,Z))))))|(![X1,X2,X3]: (ok(triple(X1,X2,X3))|(![X4,X5,X6]: (~succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))|~ok(triple(X4,X5,X6))))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f146])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 (succ_cpq(triple(sK3_skl,sK4_skl,sK5_skl),triple(sK0_skl,sK1_skl,sK2_skl))&(~ok(triple(sK0_skl,sK1_skl,sK2_skl))&ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))))|(![X1,X2,X3]: (ok(triple(X1,X2,X3))|(![X4,X5,X6]: (~succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))|~ok(triple(X4,X5,X6))))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(Z,sK2_skl),skolemize(U,sK3_skl),skolemize(V,sK4_skl),skolemize(W,sK5_skl)],[f147])).
% 0.13/0.40 fof(f150,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5]: (~ok(triple(sK0_skl,sK1_skl,sK2_skl))|ok(triple(X0,X1,X2))|~succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))|~ok(triple(X3,X4,X5)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f148])).
% 0.13/0.40 fof(f151,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5]: (ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))|ok(triple(X0,X1,X2))|~succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))|~ok(triple(X3,X4,X5)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f148])).
% 0.13/0.40 fof(f152,plain,(
% 0.13/0.40 ![U,V,W]: (ok(triple(U,V,W))|~ok(im_succ_cpq(triple(U,V,W))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.13/0.40 fof(f153,plain,(
% 0.13/0.40 ![X0,X1,X2]: (ok(triple(X0,X1,X2))|~ok(im_succ_cpq(triple(X0,X1,X2))))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f152])).
% 0.13/0.40 fof(f154,plain,(
% 0.13/0.40 (?[U,V,W]: (~ok(triple(U,V,W))&(?[X,Y,Z]: (succ_cpq(triple(U,V,W),triple(X,Y,Z))&ok(triple(X,Y,Z))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.13/0.40 fof(f155,plain,(
% 0.13/0.40 (~ok(triple(sK6_skl,sK7_skl,sK8_skl))&(succ_cpq(triple(sK6_skl,sK7_skl,sK8_skl),triple(sK9_skl,sK10_skl,sK11_skl))&ok(triple(sK9_skl,sK10_skl,sK11_skl))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl]),skolemize(U,sK6_skl),skolemize(V,sK7_skl),skolemize(W,sK8_skl),skolemize(X,sK9_skl),skolemize(Y,sK10_skl),skolemize(Z,sK11_skl)],[f154])).
% 0.13/0.40 fof(f156,plain,(
% 0.13/0.40 ~ok(triple(sK6_skl,sK7_skl,sK8_skl))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f155])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 succ_cpq(triple(sK6_skl,sK7_skl,sK8_skl),triple(sK9_skl,sK10_skl,sK11_skl))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f155])).
% 0.13/0.40 fof(f158,plain,(
% 0.13/0.40 ok(triple(sK9_skl,sK10_skl,sK11_skl))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f155])).
% 0.13/0.40 fof(f168,plain,(
% 0.13/0.40 sK8_skl=bad),
% 0.13/0.40 inference(resolution,[status(thm)],[f119,f156])).
% 0.13/0.40 fof(f170,plain,(
% 0.13/0.40 succ_cpq(triple(sK6_skl,sK7_skl,bad),triple(sK9_skl,sK10_skl,sK11_skl))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f168,f157])).
% 0.13/0.40 fof(f287,plain,(
% 0.13/0.40 ![X0,X1,X2]: (ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))|ok(triple(X0,X1,X2))|~succ_cpq(triple(X0,X1,X2),triple(sK9_skl,sK10_skl,sK11_skl)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f151,f158])).
% 0.13/0.40 fof(f312,plain,(
% 0.13/0.40 ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))|ok(triple(sK6_skl,sK7_skl,bad))),
% 0.13/0.40 inference(resolution,[status(thm)],[f287,f170])).
% 0.13/0.40 fof(f315,plain,(
% 0.13/0.40 ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f312,f116])).
% 0.13/0.40 fof(f317,plain,(
% 0.13/0.40 ok(triple(sK0_skl,sK1_skl,sK2_skl))),
% 0.13/0.40 inference(resolution,[status(thm)],[f315,f153])).
% 0.13/0.40 fof(f318,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5]: (ok(triple(X0,X1,X2))|~succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))|~ok(triple(X3,X4,X5)))),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f150,f317])).
% 0.13/0.40 fof(f319,plain,(
% 0.13/0.40 ![X0,X1,X2]: (ok(triple(X0,X1,X2))|~succ_cpq(triple(X0,X1,X2),triple(sK9_skl,sK10_skl,sK11_skl)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f318,f158])).
% 0.13/0.40 fof(f324,plain,(
% 0.13/0.40 ok(triple(sK6_skl,sK7_skl,bad))),
% 0.13/0.40 inference(resolution,[status(thm)],[f319,f170])).
% 0.13/0.40 fof(f327,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f324,f116])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.054895 seconds
% 0.13/0.42 % CPU time: 0.193055 seconds
% 0.13/0.42 % Total memory used: 83.087 MB
% 0.13/0.42 % Net memory used: 82.920 MB
%------------------------------------------------------------------------------