%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV379+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 : n002.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 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV379+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:46:32 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,axiom,(
% 0.13/0.39 (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f28,axiom,(
% 0.13/0.39 (! [U,V] :( ok(triple(U,V,bad))<=> $false ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f29,axiom,(
% 0.13/0.39 (! [U,V,W] :( ~ ok(triple(U,V,W))=> W = bad ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f34,axiom,(
% 0.13/0.39 (! [U,V] : findmin_cpq_eff(triple(U,create_slb,V)) = triple(U,create_slb,bad) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f35,axiom,(
% 0.13/0.39 (! [U,V,W,X] :( ( V != create_slb& ~ contains_slb(V,findmin_pqp_res(U)) )=> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f36,axiom,(
% 0.13/0.39 (! [U,V,W,X] :( ( V != create_slb& contains_slb(V,findmin_pqp_res(U))& strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U))) )=> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f37,axiom,(
% 0.13/0.39 (! [U,V,W,X] :( ( V != create_slb& contains_slb(V,findmin_pqp_res(U))& less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) )=> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),W) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f42,conjecture,(
% 0.13/0.39 (! [U,V,W] :( ~ ok(triple(U,V,W))=> ~ ok(findmin_cpq_eff(triple(U,V,W))) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f43,negated_conjecture,(
% 0.13/0.39 ~((! [U,V,W] :( ~ ok(triple(U,V,W))=> ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f42])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 ![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))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 (![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))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f49])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.39 fof(f111,plain,(
% 0.13/0.39 ![U,V]: ((~ok(triple(U,V,bad))|$false)&(ok(triple(U,V,bad))|$true))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f28])).
% 0.13/0.39 fof(f112,plain,(
% 0.13/0.39 ((![U,V]: ~ok(triple(U,V,bad)))|$false)&((![U,V]: ok(triple(U,V,bad)))|$true)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f111])).
% 0.13/0.39 fof(f113,plain,(
% 0.13/0.39 ![U,V]: ~ok(triple(U,V,bad))),
% 0.13/0.39 inference(true_and_false_simplification,[status(thm)],[f112])).
% 0.13/0.39 fof(f114,plain,(
% 0.13/0.39 ![X0,X1]: (~ok(triple(X0,X1,bad)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f113])).
% 0.13/0.39 fof(f115,plain,(
% 0.13/0.39 ![U,V,W]: (ok(triple(U,V,W))|W=bad)),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.13/0.39 fof(f116,plain,(
% 0.13/0.39 ![W]: ((![U,V]: ok(triple(U,V,W)))|W=bad)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f115])).
% 0.13/0.39 fof(f117,plain,(
% 0.13/0.39 ![X0,X1,X2]: (ok(triple(X0,X1,X2))|X2=bad)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/0.39 fof(f128,plain,(
% 0.13/0.39 ![X0,X1]: (findmin_cpq_eff(triple(X0,create_slb,X1))=triple(X0,create_slb,bad))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 ![U,V,W,X]: ((V=create_slb|contains_slb(V,findmin_pqp_res(U)))|findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),bad))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.13/0.39 fof(f130,plain,(
% 0.13/0.39 ![U,V]: ((V=create_slb|contains_slb(V,findmin_pqp_res(U)))|(![W]: findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),bad)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f129])).
% 0.13/0.39 fof(f131,plain,(
% 0.13/0.39 ![X0,X1,X2]: (X0=create_slb|contains_slb(X0,findmin_pqp_res(X1))|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f130])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 ![U,V,W,X]: (((V=create_slb|~contains_slb(V,findmin_pqp_res(U)))|~strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U))))|findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),bad))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 0.13/0.39 fof(f133,plain,(
% 0.13/0.39 ![U,V]: (((V=create_slb|~contains_slb(V,findmin_pqp_res(U)))|~strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U))))|(![W]: findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),bad)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f132])).
% 0.13/0.39 fof(f134,plain,(
% 0.13/0.39 ![X0,X1,X2]: (X0=create_slb|~contains_slb(X0,findmin_pqp_res(X1))|~strictly_less_than(findmin_pqp_res(X1),lookup_slb(X0,findmin_pqp_res(X1)))|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f133])).
% 0.13/0.39 fof(f135,plain,(
% 0.13/0.39 ![U,V,W,X]: (((V=create_slb|~contains_slb(V,findmin_pqp_res(U)))|~less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)))|findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),W))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.13/0.39 fof(f136,plain,(
% 0.13/0.39 ![U,V]: (((V=create_slb|~contains_slb(V,findmin_pqp_res(U)))|~less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)))|(![W]: findmin_cpq_eff(triple(U,V,W))=triple(U,update_slb(V,findmin_pqp_res(U)),W)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f135])).
% 0.13/0.39 fof(f137,plain,(
% 0.13/0.39 ![X0,X1,X2]: (X0=create_slb|~contains_slb(X0,findmin_pqp_res(X1))|~less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f136])).
% 0.13/0.39 fof(f144,plain,(
% 0.13/0.39 (?[U,V,W]: (~ok(triple(U,V,W))&ok(findmin_cpq_eff(triple(U,V,W)))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.13/0.39 fof(f145,plain,(
% 0.13/0.39 (~ok(triple(sK0_skl,sK1_skl,sK2_skl))&ok(findmin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(W,sK2_skl)],[f144])).
% 0.13/0.39 fof(f146,plain,(
% 0.13/0.39 ~ok(triple(sK0_skl,sK1_skl,sK2_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f145])).
% 0.13/0.39 fof(f147,plain,(
% 0.13/0.39 ok(findmin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f145])).
% 0.13/0.39 fof(f148,plain,(
% 0.13/0.39 ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f53,f47])).
% 0.13/0.39 fof(f151,plain,(
% 0.13/0.39 ![X0,X1,X2]: (X0=create_slb|~strictly_less_than(findmin_pqp_res(X1),lookup_slb(X0,findmin_pqp_res(X1)))|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f134,f131])).
% 0.13/0.39 fof(f152,plain,(
% 0.13/0.39 sK2_skl=bad),
% 0.13/0.39 inference(resolution,[status(thm)],[f117,f146])).
% 0.13/0.39 fof(f154,plain,(
% 0.13/0.39 ok(findmin_cpq_eff(triple(sK0_skl,sK1_skl,bad)))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f152,f147])).
% 0.13/0.39 fof(f159,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (X0=create_slb|~less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)|X0=create_slb|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 0.13/0.39 inference(resolution,[status(thm)],[f137,f131])).
% 0.13/0.39 fof(f160,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (X0=create_slb|~less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 0.13/0.39 inference(duplicate_literals_removal,[status(thm)],[f159])).
% 0.13/0.39 fof(f181,plain,(
% 0.13/0.39 ![X0,X1,X2]: (less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))|X0=create_slb|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 0.13/0.39 inference(resolution,[status(thm)],[f148,f151])).
% 0.13/0.39 fof(f184,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,X2))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)|findmin_cpq_eff(triple(X1,X0,X3))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f160,f181])).
% 0.13/0.39 fof(f198,plain,(
% 0.13/0.39 ![X0,X1]: (X0=create_slb|findmin_cpq_eff(triple(X1,X0,bad))=triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad))),
% 0.13/0.39 inference(factoring,[status(thm)],[f184])).
% 0.13/0.39 fof(f202,plain,(
% 0.13/0.39 ![X0,X1]: (~ok(findmin_cpq_eff(triple(X0,X1,bad)))|X1=create_slb)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f198,f114])).
% 0.13/0.39 fof(f204,plain,(
% 0.13/0.39 sK1_skl=create_slb),
% 0.13/0.39 inference(resolution,[status(thm)],[f202,f154])).
% 0.13/0.39 fof(f208,plain,(
% 0.13/0.39 ok(findmin_cpq_eff(triple(sK0_skl,create_slb,bad)))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f204,f154])).
% 0.13/0.39 fof(f209,plain,(
% 0.13/0.39 ok(triple(sK0_skl,create_slb,bad))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f128,f208])).
% 0.13/0.39 fof(f210,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f209,f114])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.052904 seconds
% 0.13/0.41 % CPU time: 0.178484 seconds
% 0.13/0.41 % Total memory used: 103.967 MB
% 0.13/0.41 % Net memory used: 103.857 MB
%------------------------------------------------------------------------------