%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV377+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 : n013.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 02:50:41 PM UTC 2026
% Result : Theorem 0.15s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV377+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 : n013.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 08:43:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f28,axiom,(
% 0.15/0.39 (! [U,V] :( ok(triple(U,V,bad))<=> $false ) )),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f29,axiom,(
% 0.15/0.39 (! [U,V,W] :( ~ ok(triple(U,V,W))=> W = bad ) )),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f30,axiom,(
% 0.15/0.39 (! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W) )),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f42,conjecture,(
% 0.15/0.39 (! [U,V,W,X] :( ~ ok(triple(U,V,W))=> ~ ok(insert_cpq(triple(U,V,W),X)) ) )),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f43,negated_conjecture,(
% 0.15/0.39 ~((! [U,V,W,X] :( ~ ok(triple(U,V,W))=> ~ ok(insert_cpq(triple(U,V,W),X)) ) ))),
% 0.15/0.39 inference(negated_conjecture,[status(cth)],[f42])).
% 0.15/0.39 fof(f111,plain,(
% 0.15/0.39 ![U,V]: ((~ok(triple(U,V,bad))|$false)&(ok(triple(U,V,bad))|$true))),
% 0.15/0.39 inference(NNF_transformation,[status(thm)],[f28])).
% 0.15/0.39 fof(f112,plain,(
% 0.15/0.39 ((![U,V]: ~ok(triple(U,V,bad)))|$false)&((![U,V]: ok(triple(U,V,bad)))|$true)),
% 0.15/0.39 inference(miniscoping,[status(thm)],[f111])).
% 0.15/0.39 fof(f113,plain,(
% 0.15/0.39 ![U,V]: ~ok(triple(U,V,bad))),
% 0.15/0.39 inference(true_and_false_simplification,[status(thm)],[f112])).
% 0.15/0.39 fof(f114,plain,(
% 0.15/0.39 ![X0,X1]: (~ok(triple(X0,X1,bad)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f113])).
% 0.15/0.39 fof(f115,plain,(
% 0.15/0.39 ![U,V,W]: (ok(triple(U,V,W))|W=bad)),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.15/0.39 fof(f116,plain,(
% 0.15/0.39 ![W]: ((![U,V]: ok(triple(U,V,W)))|W=bad)),
% 0.15/0.39 inference(miniscoping,[status(thm)],[f115])).
% 0.15/0.39 fof(f117,plain,(
% 0.15/0.39 ![X0,X1,X2]: (ok(triple(X0,X1,X2))|X2=bad)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f116])).
% 0.15/0.39 fof(f118,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (insert_cpq(triple(X0,X1,X2),X3)=triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.39 fof(f144,plain,(
% 0.15/0.39 (?[U,V,W,X]: (~ok(triple(U,V,W))&ok(insert_cpq(triple(U,V,W),X))))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.15/0.39 fof(f145,plain,(
% 0.15/0.39 ?[U,V,W]: (~ok(triple(U,V,W))&(?[X]: ok(insert_cpq(triple(U,V,W),X))))),
% 0.15/0.39 inference(miniscoping,[status(thm)],[f144])).
% 0.15/0.39 fof(f146,plain,(
% 0.15/0.39 (~ok(triple(sK0_skl,sK1_skl,sK2_skl))&ok(insert_cpq(triple(sK0_skl,sK1_skl,sK2_skl),sK3_skl)))),
% 0.15/0.39 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])).
% 0.15/0.39 fof(f147,plain,(
% 0.15/0.39 ~ok(triple(sK0_skl,sK1_skl,sK2_skl))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f146])).
% 0.15/0.39 fof(f148,plain,(
% 0.15/0.39 ok(insert_cpq(triple(sK0_skl,sK1_skl,sK2_skl),sK3_skl))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f146])).
% 0.15/0.39 fof(f151,plain,(
% 0.15/0.39 sK2_skl=bad),
% 0.15/0.39 inference(resolution,[status(thm)],[f117,f147])).
% 0.15/0.39 fof(f154,plain,(
% 0.15/0.39 ![X0,X1]: (~ok(triple(X0,X1,sK2_skl)))),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f151,f114])).
% 0.15/0.39 fof(f200,plain,(
% 0.15/0.39 ![X0,X1,X2]: (~ok(insert_cpq(triple(X0,X1,sK2_skl),X2)))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f118,f154])).
% 0.15/0.39 fof(f233,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(backward_subsumption_resolution,[status(thm)],[f148,f200])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.045597 seconds
% 0.15/0.42 % CPU time: 0.102606 seconds
% 0.15/0.42 % Total memory used: 22.960 MB
% 0.15/0.42 % Net memory used: 22.931 MB
%------------------------------------------------------------------------------