%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV372+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 : n026.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 54.01s 7.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV372+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 : n026.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 08:46:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 54.01/7.30 % Refutation found
% 54.01/7.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 54.01/7.30 % SZS output start CNFRefutation for theBenchmark
% 54.01/7.30 fof(f39,axiom,(
% 54.01/7.30 (! [U,V,W,X] :( contains_cpq(triple(U,V,W),X)<=> contains_slb(V,X) ) )),
% 54.01/7.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 54.01/7.30 fof(f40,axiom,(
% 54.01/7.30 (! [U,V] :( ok(triple(U,V,bad))<=> $false ) )),
% 54.01/7.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 54.01/7.30 fof(f46,axiom,(
% 54.01/7.30 (! [U,V] : findmin_cpq_eff(triple(U,create_slb,V)) = triple(U,create_slb,bad) )),
% 54.01/7.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 54.01/7.30 fof(f47,axiom,(
% 54.01/7.30 (! [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) ) )),
% 54.01/7.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 54.01/7.30 fof(f51,axiom,(
% 54.01/7.30 (! [U,V,W,X] :( V != create_slb=> findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ) )),
% 54.01/7.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 54.01/7.30 fof(f63,lemma,(
% 54.01/7.30 (! [U,V,W,X] :( contains_cpq(triple(U,V,W),X)<=> contains_pq(i(triple(U,V,W)),X) ) )),
% 54.01/7.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 54.01/7.31 fof(f65,lemma,(
% 54.01/7.31 (! [U,V,W] :( ~ ok(triple(U,V,W))=> ~ phi(triple(U,V,W)) ) )),
% 54.01/7.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 54.01/7.31 fof(f66,conjecture,(
% 54.01/7.31 (! [U,V,W] :( phi(findmin_cpq_eff(triple(U,V,W)))=> contains_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ) )),
% 54.01/7.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 54.01/7.31 fof(f67,negated_conjecture,(
% 54.01/7.31 ~((! [U,V,W] :( phi(findmin_cpq_eff(triple(U,V,W)))=> contains_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ) ))),
% 54.01/7.31 inference(negated_conjecture,[status(cth)],[f66])).
% 54.01/7.31 fof(f158,plain,(
% 54.01/7.31 ![U,V,W,X]: ((~contains_cpq(triple(U,V,W),X)|contains_slb(V,X))&(contains_cpq(triple(U,V,W),X)|~contains_slb(V,X)))),
% 54.01/7.31 inference(NNF_transformation,[status(thm)],[f39])).
% 54.01/7.31 fof(f159,plain,(
% 54.01/7.31 (![V,X]: ((![U,W]: ~contains_cpq(triple(U,V,W),X))|contains_slb(V,X)))&(![V,X]: ((![U,W]: contains_cpq(triple(U,V,W),X))|~contains_slb(V,X)))),
% 54.01/7.31 inference(miniscoping,[status(thm)],[f158])).
% 54.01/7.31 fof(f161,plain,(
% 54.01/7.31 ![X0,X1,X2,X3]: (contains_cpq(triple(X0,X1,X2),X3)|~contains_slb(X1,X3))),
% 54.01/7.31 inference(cnf_transformation,[status(thm)],[f159])).
% 54.01/7.31 fof(f162,plain,(
% 54.01/7.31 ![U,V]: ((~ok(triple(U,V,bad))|$false)&(ok(triple(U,V,bad))|$true))),
% 54.01/7.31 inference(NNF_transformation,[status(thm)],[f40])).
% 54.01/7.31 fof(f163,plain,(
% 54.01/7.31 ((![U,V]: ~ok(triple(U,V,bad)))|$false)&((![U,V]: ok(triple(U,V,bad)))|$true)),
% 54.01/7.31 inference(miniscoping,[status(thm)],[f162])).
% 54.01/7.31 fof(f164,plain,(
% 54.01/7.31 ![U,V]: ~ok(triple(U,V,bad))),
% 54.01/7.31 inference(true_and_false_simplification,[status(thm)],[f163])).
% 54.01/7.31 fof(f165,plain,(
% 54.01/7.31 ![X0,X1]: (~ok(triple(X0,X1,bad)))),
% 54.01/7.31 inference(cnf_transformation,[status(thm)],[f164])).
% 54.01/7.31 fof(f179,plain,(
% 54.01/7.31 ![X0,X1]: (findmin_cpq_eff(triple(X0,create_slb,X1))=triple(X0,create_slb,bad))),
% 54.01/7.31 inference(cnf_transformation,[status(thm)],[f46])).
% 54.01/7.31 fof(f180,plain,(
% 54.01/7.31 ![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))),
% 54.01/7.31 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 54.01/7.31 fof(f181,plain,(
% 54.01/7.31 ![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)))),
% 54.01/7.31 inference(miniscoping,[status(thm)],[f180])).
% 54.01/7.31 fof(f182,plain,(
% 54.01/7.31 ![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))),
% 54.01/7.31 inference(cnf_transformation,[status(thm)],[f181])).
% 54.01/7.31 fof(f190,plain,(
% 54.01/7.31 ![U,V,W,X]: (V=create_slb|findmin_cpq_res(triple(U,V,W))=findmin_pqp_res(U))),
% 54.01/7.31 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 54.01/7.31 fof(f191,plain,(
% 54.01/7.31 ![V]: (V=create_slb|(![U,W]: findmin_cpq_res(triple(U,V,W))=findmin_pqp_res(U)))),
% 54.01/7.31 inference(miniscoping,[status(thm)],[f190])).
% 54.01/7.31 fof(f192,plain,(
% 54.01/7.31 ![X0,X1,X2]: (X0=create_slb|findmin_cpq_res(triple(X1,X0,X2))=findmin_pqp_res(X1))),
% 54.01/7.31 inference(cnf_transformation,[status(thm)],[f191])).
% 54.01/7.31 fof(f232,plain,(
% 54.01/7.31 ![U,V,W,X]: ((~contains_cpq(triple(U,V,W),X)|contains_pq(i(triple(U,V,W)),X))&(contains_cpq(triple(U,V,W),X)|~contains_pq(i(triple(U,V,W)),X)))),
% 51.42/7.34 inference(NNF_transformation,[status(thm)],[f63])).
% 51.42/7.34 fof(f233,plain,(
% 51.42/7.34 (![U,V,W,X]: (~contains_cpq(triple(U,V,W),X)|contains_pq(i(triple(U,V,W)),X)))&(![U,V,W,X]: (contains_cpq(triple(U,V,W),X)|~contains_pq(i(triple(U,V,W)),X)))),
% 51.42/7.34 inference(miniscoping,[status(thm)],[f232])).
% 51.42/7.34 fof(f234,plain,(
% 51.42/7.34 ![X0,X1,X2,X3]: (~contains_cpq(triple(X0,X1,X2),X3)|contains_pq(i(triple(X0,X1,X2)),X3))),
% 51.42/7.34 inference(cnf_transformation,[status(thm)],[f233])).
% 51.42/7.34 fof(f238,plain,(
% 51.42/7.34 ![U,V,W]: (ok(triple(U,V,W))|~phi(triple(U,V,W)))),
% 51.42/7.34 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 51.42/7.34 fof(f239,plain,(
% 51.42/7.34 ![X0,X1,X2]: (ok(triple(X0,X1,X2))|~phi(triple(X0,X1,X2)))),
% 51.42/7.34 inference(cnf_transformation,[status(thm)],[f238])).
% 51.42/7.34 fof(f240,plain,(
% 51.42/7.34 (?[U,V,W]: (phi(findmin_cpq_eff(triple(U,V,W)))&~contains_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W)))))),
% 51.42/7.34 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 51.42/7.34 fof(f241,plain,(
% 51.42/7.34 (phi(findmin_cpq_eff(triple(sK4_skl,sK5_skl,sK6_skl)))&~contains_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl))))),
% 51.42/7.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl]),skolemize(U,sK4_skl),skolemize(V,sK5_skl),skolemize(W,sK6_skl)],[f240])).
% 51.42/7.34 fof(f242,plain,(
% 51.42/7.34 phi(findmin_cpq_eff(triple(sK4_skl,sK5_skl,sK6_skl)))),
% 51.42/7.34 inference(cnf_transformation,[status(thm)],[f241])).
% 51.42/7.34 fof(f243,plain,(
% 51.42/7.34 ~contains_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_cpq_res(triple(sK4_skl,sK5_skl,sK6_skl)))),
% 51.42/7.34 inference(cnf_transformation,[status(thm)],[f241])).
% 51.42/7.34 fof(f249,plain,(
% 51.42/7.34 ~contains_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),findmin_pqp_res(sK4_skl))|sK5_skl=create_slb),
% 51.42/7.34 inference(paramodulation,[status(thm)],[f192,f243])).
% 51.42/7.34 fof(f731,plain,(
% 51.42/7.34 ![X0,X1,X2,X3]: (contains_pq(i(triple(X0,X1,X2)),X3)|~contains_slb(X1,X3))),
% 51.42/7.34 inference(resolution,[status(thm)],[f234,f161])).
% 51.42/7.34 fof(f778,plain,(
% 51.42/7.34 ![X0,X1,X2,X3,X4]: (contains_pq(i(triple(X0,X1,X2)),findmin_pqp_res(X3))|X1=create_slb|findmin_cpq_eff(triple(X3,X1,X4))=triple(X3,update_slb(X1,findmin_pqp_res(X3)),bad))),
% 51.42/7.34 inference(resolution,[status(thm)],[f731,f182])).
% 51.42/7.34 fof(f5185,plain,(
% 51.42/7.34 ![X0]: (sK5_skl=create_slb|findmin_cpq_eff(triple(sK4_skl,sK5_skl,X0))=triple(sK4_skl,update_slb(sK5_skl,findmin_pqp_res(sK4_skl)),bad)|sK5_skl=create_slb)),
% 51.42/7.34 inference(resolution,[status(thm)],[f778,f249])).
% 51.42/7.34 fof(f5202,plain,(
% 51.42/7.34 ![X0]: (sK5_skl=create_slb|findmin_cpq_eff(triple(sK4_skl,sK5_skl,X0))=triple(sK4_skl,update_slb(sK5_skl,findmin_pqp_res(sK4_skl)),bad))),
% 51.42/7.34 inference(duplicate_literals_removal,[status(thm)],[f5185])).
% 51.42/7.34 fof(f5355,plain,(
% 51.42/7.34 ![X0]: (ok(triple(sK4_skl,update_slb(sK5_skl,findmin_pqp_res(sK4_skl)),bad))|~phi(findmin_cpq_eff(triple(sK4_skl,sK5_skl,X0)))|sK5_skl=create_slb)),
% 51.42/7.34 inference(paramodulation,[status(thm)],[f5202,f239])).
% 51.42/7.34 fof(f5377,plain,(
% 51.42/7.34 ![X0]: (~phi(findmin_cpq_eff(triple(sK4_skl,sK5_skl,X0)))|sK5_skl=create_slb)),
% 51.42/7.34 inference(forward_subsumption_resolution,[status(thm)],[f5355,f165])).
% 51.42/7.34 fof(f5386,plain,(
% 51.42/7.34 sK5_skl=create_slb),
% 51.42/7.34 inference(resolution,[status(thm)],[f5377,f242])).
% 51.42/7.34 fof(f5512,plain,(
% 51.42/7.34 phi(findmin_cpq_eff(triple(sK4_skl,create_slb,sK6_skl)))),
% 51.42/7.34 inference(backward_demodulation,[status(thm)],[f5386,f242])).
% 51.42/7.34 fof(f5739,plain,(
% 51.42/7.34 phi(triple(sK4_skl,create_slb,bad))),
% 51.42/7.34 inference(forward_demodulation,[status(thm)],[f179,f5512])).
% 51.42/7.34 fof(f5749,plain,(
% 51.42/7.34 ok(triple(sK4_skl,create_slb,bad))),
% 51.42/7.34 inference(resolution,[status(thm)],[f5739,f239])).
% 51.42/7.34 fof(f5751,plain,(
% 51.42/7.34 $false),
% 51.42/7.34 inference(forward_subsumption_resolution,[status(thm)],[f5749,f165])).
% 51.42/7.34 % SZS output end CNFRefutation for theBenchmark.p
% 51.42/7.38 % Elapsed time: 7.007010 seconds
% 51.42/7.38 % CPU time: 55.268211 seconds
% 51.42/7.38 % Total memory used: 463.671 MB
% 51.42/7.38 % Net memory used: 426.842 MB
%------------------------------------------------------------------------------