%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV380+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 02:47:32 PM UTC 2026
% Result : Theorem 8.89s 1.84s
% Output : CNFRefutation 8.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 22 unt; 2 def)
% Number of atoms : 218 ( 91 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 200 ( 75 ~; 98 |; 14 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 224 ( 221 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [U,V] :
( less_than(V,U)
| less_than(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [U,V] :
( strictly_less_than(U,V)
<=> ( ~ less_than(V,U)
& less_than(U,V) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [U] : ~ contains_slb(create_slb,U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [U,V] :
( ok(triple(U,V,bad))
<=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [U,V,W] :
( ~ ok(triple(U,V,W))
=> W = bad ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [U,V,W,X] :
( ~ contains_slb(V,X)
=> remove_cpq(triple(U,V,W),X) = triple(U,V,bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [U,V] : findmin_cpq_eff(triple(U,create_slb,V)) = triple(U,create_slb,bad),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [U,V,W,X] :
( ( ~ contains_slb(V,findmin_pqp_res(U))
& V != create_slb )
=> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [U,V,W,X] :
( ( strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U)))
& contains_slb(V,findmin_pqp_res(U))
& V != create_slb )
=> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [U,V,W,X] :
( ( less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U))
& contains_slb(V,findmin_pqp_res(U))
& V != create_slb )
=> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [U,V] : findmin_cpq_res(triple(U,create_slb,V)) = bottom,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [U,V,W,X] :
( V != create_slb
=> findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [U] : removemin_cpq_eff(U) = remove_cpq(findmin_cpq_eff(U),findmin_cpq_res(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,lemma,
! [U,V,W,X] :
( ~ ok(triple(U,V,W))
=> ~ ok(remove_cpq(triple(U,V,W),X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,conjecture,
! [U,V,W] :
( ~ ok(triple(U,V,W))
=> ~ ok(removemin_cpq_eff(triple(U,V,W))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
~ ! [U,V,W] :
( ~ ok(triple(U,V,W))
=> ~ ok(removemin_cpq_eff(triple(U,V,W))) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f48,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
! [U,V] :
( ( less_than(V,U)
| ~ less_than(U,V)
| strictly_less_than(U,V) )
& ( ( ~ less_than(V,U)
& less_than(U,V) )
| ~ strictly_less_than(U,V) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f51,plain,
( ! [U,V] :
( less_than(V,U)
| ~ less_than(U,V)
| strictly_less_than(U,V) )
& ! [U,V] :
( ( ~ less_than(V,U)
& less_than(U,V) )
| ~ strictly_less_than(U,V) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f54,plain,
! [X0,X1] :
( less_than(X1,X0)
| ~ less_than(X0,X1)
| strictly_less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f58,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f112,plain,
! [U,V] :
( ( $true
| ok(triple(U,V,bad)) )
& ( $false
| ~ ok(triple(U,V,bad)) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f113,plain,
( ( $true
| ! [U,V] : ok(triple(U,V,bad)) )
& ( $false
| ! [U,V] : ~ ok(triple(U,V,bad)) ) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f114,plain,
! [U,V] : ~ ok(triple(U,V,bad)),
inference(true_and_false_simplification,[status(thm)],[f113]) ).
fof(f115,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f116,plain,
! [U,V,W] :
( W = bad
| ok(triple(U,V,W)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f117,plain,
! [W] :
( W = bad
| ! [U,V] : ok(triple(U,V,W)) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f118,plain,
! [X0,X1,X2] :
( X2 = bad
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f120,plain,
! [U,V,W,X] :
( remove_cpq(triple(U,V,W),X) = triple(U,V,bad)
| contains_slb(V,X) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f121,plain,
! [V,X] :
( ! [U,W] : remove_cpq(triple(U,V,W),X) = triple(U,V,bad)
| contains_slb(V,X) ),
inference(miniscoping,[status(thm)],[f120]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X2,X0,X3),X1) = triple(X2,X0,bad)
| contains_slb(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f129,plain,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f130,plain,
! [U,V,W,X] :
( findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad)
| contains_slb(V,findmin_pqp_res(U))
| V = create_slb ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f131,plain,
! [U,V] :
( ! [W] : findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad)
| contains_slb(V,findmin_pqp_res(U))
| V = create_slb ),
inference(miniscoping,[status(thm)],[f130]) ).
fof(f132,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)
| contains_slb(X0,findmin_pqp_res(X1))
| X0 = create_slb ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
! [U,V,W,X] :
( findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad)
| ~ strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U)))
| ~ contains_slb(V,findmin_pqp_res(U))
| V = create_slb ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f134,plain,
! [U,V] :
( ! [W] : findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad)
| ~ strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U)))
| ~ contains_slb(V,findmin_pqp_res(U))
| V = create_slb ),
inference(miniscoping,[status(thm)],[f133]) ).
fof(f135,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)
| ~ strictly_less_than(findmin_pqp_res(X1),lookup_slb(X0,findmin_pqp_res(X1)))
| ~ contains_slb(X0,findmin_pqp_res(X1))
| X0 = create_slb ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
! [U,V,W,X] :
( findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),W)
| ~ less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U))
| ~ contains_slb(V,findmin_pqp_res(U))
| V = create_slb ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f137,plain,
! [U,V] :
( ! [W] : findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),W)
| ~ less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U))
| ~ contains_slb(V,findmin_pqp_res(U))
| V = create_slb ),
inference(miniscoping,[status(thm)],[f136]) ).
fof(f138,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)
| ~ less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))
| ~ contains_slb(X0,findmin_pqp_res(X1))
| X0 = create_slb ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f139,plain,
! [X0,X1] : findmin_cpq_res(triple(X0,create_slb,X1)) = bottom,
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f140,plain,
! [U,V,W,X] :
( findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U)
| V = create_slb ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f141,plain,
! [V] :
( ! [U,W] : findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U)
| V = create_slb ),
inference(miniscoping,[status(thm)],[f140]) ).
fof(f142,plain,
! [X0,X1,X2] :
( findmin_cpq_res(triple(X1,X0,X2)) = findmin_pqp_res(X1)
| X0 = create_slb ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f145,plain,
! [U,V,W,X] :
( ~ ok(remove_cpq(triple(U,V,W),X))
| ok(triple(U,V,W)) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f146,plain,
! [U,V,W] :
( ! [X] : ~ ok(remove_cpq(triple(U,V,W),X))
| ok(triple(U,V,W)) ),
inference(miniscoping,[status(thm)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
? [U,V,W] :
( ok(removemin_cpq_eff(triple(U,V,W)))
& ~ ok(triple(U,V,W)) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f149,plain,
( ok(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl)))
& ~ ok(triple(sK0_skl,sK1_skl,sK2_skl)) ),
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)],[f148]) ).
fof(f150,plain,
~ ok(triple(sK0_skl,sK1_skl,sK2_skl)),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
ok(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl))),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f154,plain,
sK2_skl = bad,
inference(resolution,[status(thm)],[f118,f150]) ).
fof(f157,plain,
! [X0,X1] : ~ ok(triple(X0,X1,sK2_skl)),
inference(backward_demodulation,[status(thm)],[f154,f115]) ).
fof(f160,plain,
! [X0,X1] :
( less_than(X1,X0)
| strictly_less_than(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f48]) ).
fof(f163,plain,
! [X0,X1] : removemin_cpq_eff(triple(X0,create_slb,X1)) = remove_cpq(findmin_cpq_eff(triple(X0,create_slb,X1)),bottom),
inference(paramodulation,[status(thm)],[f139,f143]) ).
fof(f174,plain,
! [X0,X1,X2] :
( X1 = create_slb
| removemin_cpq_eff(triple(X0,X1,X2)) = remove_cpq(findmin_cpq_eff(triple(X0,X1,X2)),findmin_pqp_res(X0)) ),
inference(paramodulation,[status(thm)],[f142,f143]) ).
fof(f191,plain,
! [X0,X1] : removemin_cpq_eff(triple(X0,create_slb,X1)) = remove_cpq(triple(X0,create_slb,sK2_skl),bottom),
inference(backward_demodulation,[status(thm)],[f192,f163]) ).
fof(f192,plain,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,sK2_skl),
inference(forward_demodulation,[status(thm)],[f154,f129]) ).
fof(f256,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X2,X0,X3),X1) = triple(X2,X0,sK2_skl)
| contains_slb(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f154,f122]) ).
fof(f258,plain,
! [X0,X1,X2] : remove_cpq(triple(X0,create_slb,X1),X2) = triple(X0,create_slb,sK2_skl),
inference(resolution,[status(thm)],[f256,f58]) ).
fof(f273,plain,
! [X0,X1] : removemin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,sK2_skl),
inference(backward_demodulation,[status(thm)],[f258,f191]) ).
fof(f308,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),sK2_skl)
| contains_slb(X0,findmin_pqp_res(X1))
| X0 = create_slb ),
inference(forward_demodulation,[status(thm)],[f154,f132]) ).
fof(f319,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),sK2_skl)
| ~ strictly_less_than(findmin_pqp_res(X1),lookup_slb(X0,findmin_pqp_res(X1)))
| ~ contains_slb(X0,findmin_pqp_res(X1))
| X0 = create_slb ),
inference(forward_demodulation,[status(thm)],[f154,f135]) ).
fof(f320,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),sK2_skl)
| ~ strictly_less_than(findmin_pqp_res(X1),lookup_slb(X0,findmin_pqp_res(X1)))
| X0 = create_slb ),
inference(forward_subsumption_resolution,[status(thm)],[f319,f308]) ).
fof(f326,plain,
! [X0,X1,X2,X3] :
( findmin_cpq_eff(triple(X1,X0,X3)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),sK2_skl)
| X0 = create_slb
| findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)
| ~ less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))
| X0 = create_slb ),
inference(resolution,[status(thm)],[f138,f308]) ).
fof(f330,plain,
! [X0,X1,X2,X3] :
( findmin_cpq_eff(triple(X1,X0,X3)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),sK2_skl)
| findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)
| ~ less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))
| X0 = create_slb ),
inference(duplicate_literals_removal,[status(thm)],[f326]) ).
fof(f452,plain,
! [X0,X1,X2,X3] :
( strictly_less_than(findmin_pqp_res(X1),lookup_slb(X0,findmin_pqp_res(X1)))
| findmin_cpq_eff(triple(X1,X0,X3)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),sK2_skl)
| findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)
| X0 = create_slb ),
inference(resolution,[status(thm)],[f330,f160]) ).
fof(f459,plain,
! [X0,X1,X2,X3] :
( findmin_cpq_eff(triple(X1,X0,X3)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),sK2_skl)
| findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)
| X0 = create_slb ),
inference(forward_subsumption_resolution,[status(thm)],[f452,f320]) ).
fof(f1027,plain,
! [X0,X1,X2,X3,X4] :
( findmin_cpq_eff(triple(X0,X1,X4)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X4)
| X1 = create_slb
| ~ ok(remove_cpq(findmin_cpq_eff(triple(X0,X1,X2)),X3))
| ok(triple(X0,update_slb(X1,findmin_pqp_res(X0)),sK2_skl)) ),
inference(paramodulation,[status(thm)],[f459,f147]) ).
fof(f1088,plain,
! [X0,X1,X2,X3,X4] :
( findmin_cpq_eff(triple(X0,X1,X4)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X4)
| X1 = create_slb
| ~ ok(remove_cpq(findmin_cpq_eff(triple(X0,X1,X2)),X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1027,f157]) ).
fof(f1361,plain,
! [X0,X1,X2,X3] :
( X1 = create_slb
| findmin_cpq_eff(triple(X0,X1,X3)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X3)
| X1 = create_slb
| ~ ok(removemin_cpq_eff(triple(X0,X1,X2))) ),
inference(paramodulation,[status(thm)],[f174,f1088]) ).
fof(f1369,plain,
! [X0,X1,X2,X3] :
( findmin_cpq_eff(triple(X0,X1,X3)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X3)
| X1 = create_slb
| ~ ok(removemin_cpq_eff(triple(X0,X1,X2))) ),
inference(duplicate_literals_removal,[status(thm)],[f1361]) ).
fof(f1530,plain,
! [X0] :
( findmin_cpq_eff(triple(sK0_skl,sK1_skl,X0)) = triple(sK0_skl,update_slb(sK1_skl,findmin_pqp_res(sK0_skl)),X0)
| sK1_skl = create_slb ),
inference(resolution,[status(thm)],[f1369,f151]) ).
fof(f1536,definition,
( sQ50_spl
<=> sK1_skl = create_slb ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1537,plain,
( ~ sQ50_spl
| sK1_skl = create_slb ),
inference(component_clause,[status(thm)],[f1536]) ).
fof(f1539,definition,
! [X0] :
( sQ51_spl
<=> findmin_cpq_eff(triple(sK0_skl,sK1_skl,X0)) = triple(sK0_skl,update_slb(sK1_skl,findmin_pqp_res(sK0_skl)),X0) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
! [X0] :
( ~ sQ51_spl
| findmin_cpq_eff(triple(sK0_skl,sK1_skl,X0)) = triple(sK0_skl,update_slb(sK1_skl,findmin_pqp_res(sK0_skl)),X0) ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,plain,
( sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1530,f1536,f1539]) ).
fof(f1580,plain,
! [X0,X1] :
( ~ sQ50_spl
| removemin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,sK1_skl,sK2_skl) ),
inference(backward_demodulation,[status(thm)],[f1537,f273]) ).
fof(f1600,plain,
! [X0,X1] :
( ~ sQ50_spl
| removemin_cpq_eff(triple(X0,sK1_skl,X1)) = triple(X0,sK1_skl,sK2_skl) ),
inference(forward_demodulation,[status(thm)],[f1537,f1580]) ).
fof(f2079,plain,
( ~ sQ50_spl
| ok(triple(sK0_skl,sK1_skl,sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f1600,f151]) ).
fof(f2082,plain,
( ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2079,f157]) ).
fof(f2083,plain,
~ sQ50_spl,
inference(contradiction_clause,[status(thm)],[f2082]) ).
fof(f2235,plain,
( ~ sQ51_spl
| ~ ok(findmin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl))) ),
inference(paramodulation,[status(thm)],[f1540,f157]) ).
fof(f2260,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ ok(remove_cpq(findmin_cpq_eff(triple(sK0_skl,sK1_skl,X0)),X1))
| ok(triple(sK0_skl,update_slb(sK1_skl,findmin_pqp_res(sK0_skl)),X0)) ),
inference(paramodulation,[status(thm)],[f1540,f147]) ).
fof(f2276,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ ok(remove_cpq(findmin_cpq_eff(triple(sK0_skl,sK1_skl,X0)),X1))
| ok(findmin_cpq_eff(triple(sK0_skl,sK1_skl,X0))) ),
inference(forward_demodulation,[status(thm)],[f1540,f2260]) ).
fof(f2608,plain,
! [X0] :
( ~ sQ51_spl
| ~ ok(remove_cpq(findmin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl)),X0)) ),
inference(resolution,[status(thm)],[f2276,f2235]) ).
fof(f2615,plain,
( ~ sQ51_spl
| ~ ok(removemin_cpq_eff(triple(sK0_skl,sK1_skl,sK2_skl))) ),
inference(paramodulation,[status(thm)],[f143,f2608]) ).
fof(f2620,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2615,f151]) ).
fof(f2621,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f2620]) ).
fof(f2622,plain,
$false,
inference(sat_refutation,[status(thm)],[f1542,f2083,f2621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV380+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.45 % Computer : n014.cluster.edu
% 0.21/0.45 % Model : x86_64 x86_64
% 0.21/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.45 % Memory : 8046.5625MB
% 0.21/0.45 % OS : Linux 6.8.0-71-generic
% 0.21/0.45 % CPULimit : 300
% 0.21/0.45 % WCLimit : 300
% 0.21/0.45 % DateTime : Mon Sep 21 08:43:50 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.50 % Drodi V4.1.1
% 8.89/1.84 % Refutation found
% 8.89/1.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.89/1.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.89/1.89 % Elapsed time: 1.408556 seconds
% 8.89/1.89 % CPU time: 10.479615 seconds
% 8.89/1.89 % Total memory used: 185.751 MB
% 8.89/1.89 % Net memory used: 170.284 MB
%------------------------------------------------------------------------------