%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 01:28:19 PM UTC 2026
% Result : Theorem 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 6 unt; 2 def)
% Number of atoms : 109 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 123 ( 54 ~; 44 |; 10 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 30 ( 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [D] :
( dive(D)
=> ( ( greater(time(D),time_limit)
| greater(depth(D),depth_limit) )
<=> greater(nitrogen(D),nitrogen_limit) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [D] :
( dive(D)
=> ( greater(nitrogen(D),nitrogen_limit)
<=> outcome(D,dci) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [D] :
( dive(D)
=> ! [O] :
( ( bad(O)
& outcome(D,O) )
=> O = dci ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [D] :
( dive(D)
=> ( ~ greater(time(D),time_limit)
& ~ greater(depth(D),depth_limit) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
! [D] :
( dive(D)
=> ! [O] :
( outcome(D,O)
=> ~ bad(O) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ! [D] :
( dive(D)
=> ! [O] :
( outcome(D,O)
=> ~ bad(O) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f11,plain,
! [D] :
( ( ( greater(time(D),time_limit)
| greater(depth(D),depth_limit) )
<=> greater(nitrogen(D),nitrogen_limit) )
| ~ dive(D) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [D] :
( ( ( ~ greater(nitrogen(D),nitrogen_limit)
| greater(time(D),time_limit)
| greater(depth(D),depth_limit) )
& ( greater(nitrogen(D),nitrogen_limit)
| ( ~ greater(time(D),time_limit)
& ~ greater(depth(D),depth_limit) ) ) )
| ~ dive(D) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f15,plain,
! [X0] :
( ~ greater(nitrogen(X0),nitrogen_limit)
| greater(time(X0),time_limit)
| greater(depth(X0),depth_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f16,plain,
! [D] :
( ( greater(nitrogen(D),nitrogen_limit)
<=> outcome(D,dci) )
| ~ dive(D) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f17,plain,
! [D] :
( ( ( ~ outcome(D,dci)
| greater(nitrogen(D),nitrogen_limit) )
& ( outcome(D,dci)
| ~ greater(nitrogen(D),nitrogen_limit) ) )
| ~ dive(D) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f19,plain,
! [X0] :
( ~ outcome(X0,dci)
| greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f21,plain,
! [D] :
( ! [O] :
( O = dci
| ~ bad(O)
| ~ outcome(D,O) )
| ~ dive(D) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f22,plain,
! [X0,X1] :
( X1 = dci
| ~ bad(X1)
| ~ outcome(X0,X1)
| ~ dive(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [D] :
( ( ~ greater(time(D),time_limit)
& ~ greater(depth(D),depth_limit) )
| ~ dive(D) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0] :
( ~ greater(depth(X0),depth_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0] :
( ~ greater(time(X0),time_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f26,plain,
? [D] :
( ? [O] :
( bad(O)
& outcome(D,O) )
& dive(D) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
( bad(sK1_skl)
& outcome(sK0_skl,sK1_skl)
& dive(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(D,sK0_skl),skolemize(O,sK1_skl)],[f26]) ).
fof(f28,plain,
dive(sK0_skl),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
outcome(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f30,plain,
bad(sK1_skl),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f31,plain,
! [X0] :
( X0 = dci
| ~ bad(X0)
| ~ outcome(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f22,f28]) ).
fof(f32,plain,
( sK1_skl = dci
| ~ bad(sK1_skl) ),
inference(resolution,[status(thm)],[f31,f29]) ).
fof(f33,definition,
( sQ0_spl
<=> bad(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f35,plain,
( sQ0_spl
| ~ bad(sK1_skl) ),
inference(component_clause,[status(thm)],[f33]) ).
fof(f36,definition,
( sQ1_spl
<=> sK1_skl = dci ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f37,plain,
( ~ sQ1_spl
| sK1_skl = dci ),
inference(component_clause,[status(thm)],[f36]) ).
fof(f39,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f32,f33,f36]) ).
fof(f40,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f30]) ).
fof(f41,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f40]) ).
fof(f61,plain,
! [X0] :
( ~ sQ1_spl
| ~ outcome(X0,sK1_skl)
| greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(forward_demodulation,[status(thm)],[f37,f19]) ).
fof(f63,plain,
! [X0] :
( ~ greater(nitrogen(X0),nitrogen_limit)
| greater(time(X0),time_limit)
| ~ dive(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f15,f24]) ).
fof(f64,plain,
! [X0] :
( ~ dive(X0)
| ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(resolution,[status(thm)],[f63,f25]) ).
fof(f65,plain,
! [X0] :
( ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f64]) ).
fof(f66,plain,
! [X0] :
( ~ sQ1_spl
| ~ outcome(X0,sK1_skl)
| ~ dive(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f61,f65]) ).
fof(f67,plain,
( ~ sQ1_spl
| ~ dive(sK0_skl) ),
inference(resolution,[status(thm)],[f66,f29]) ).
fof(f68,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f28]) ).
fof(f69,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f68]) ).
fof(f70,plain,
$false,
inference(sat_refutation,[status(thm)],[f39,f41,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n009.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 01:28:12 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.49 % Drodi V4.1.1
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.59 % Elapsed time: 0.104495 seconds
% 0.25/0.59 % CPU time: 0.097898 seconds
% 0.25/0.59 % Total memory used: 2.515 MB
% 0.25/0.59 % Net memory used: 2.514 MB
%------------------------------------------------------------------------------