%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:47:30 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 10 unt; 2 def)
% Number of atoms : 54 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 22 ~; 16 |; 4 &)
% ( 5 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 43 ( 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [U] : ~ contains_pq(create_pq,U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [U] : ~ contains_slb(create_slb,U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [U,V,W,X] :
( contains_cpq(triple(U,V,W),X)
<=> contains_slb(V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,conjecture,
! [U,V,W] :
( contains_cpq(triple(U,create_slb,V),W)
<=> contains_pq(i(triple(U,create_slb,V)),W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
~ ! [U,V,W] :
( contains_cpq(triple(U,create_slb,V),W)
<=> contains_pq(i(triple(U,create_slb,V)),W) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f78,plain,
! [X0] : ~ contains_pq(create_pq,X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f105,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f155,plain,
! [U,V,W,X] :
( ( ~ contains_slb(V,X)
| contains_cpq(triple(U,V,W),X) )
& ( contains_slb(V,X)
| ~ contains_cpq(triple(U,V,W),X) ) ),
inference(NNF_transformation,[status(thm)],[f39]) ).
fof(f156,plain,
( ! [V,X] :
( ~ contains_slb(V,X)
| ! [U,W] : contains_cpq(triple(U,V,W),X) )
& ! [V,X] :
( contains_slb(V,X)
| ! [U,W] : ~ contains_cpq(triple(U,V,W),X) ) ),
inference(miniscoping,[status(thm)],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3] :
( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f192,plain,
! [X0,X1] : i(triple(X0,create_slb,X1)) = create_pq,
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f229,plain,
? [U,V,W] :
( contains_cpq(triple(U,create_slb,V),W)
<~> contains_pq(i(triple(U,create_slb,V)),W) ),
inference(pre_NNF_transformation,[status(thm)],[f64]) ).
fof(f230,plain,
? [U,V,W] :
( ( ~ contains_pq(i(triple(U,create_slb,V)),W)
| ~ contains_cpq(triple(U,create_slb,V),W) )
& ( contains_pq(i(triple(U,create_slb,V)),W)
| contains_cpq(triple(U,create_slb,V),W) ) ),
inference(NNF_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
( ( ~ contains_pq(i(triple(sK4_skl,create_slb,sK5_skl)),sK6_skl)
| ~ contains_cpq(triple(sK4_skl,create_slb,sK5_skl),sK6_skl) )
& ( contains_pq(i(triple(sK4_skl,create_slb,sK5_skl)),sK6_skl)
| contains_cpq(triple(sK4_skl,create_slb,sK5_skl),sK6_skl) ) ),
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)],[f230]) ).
fof(f232,plain,
( contains_pq(i(triple(sK4_skl,create_slb,sK5_skl)),sK6_skl)
| contains_cpq(triple(sK4_skl,create_slb,sK5_skl),sK6_skl) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f234,definition,
( sQ0_spl
<=> contains_cpq(triple(sK4_skl,create_slb,sK5_skl),sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ0_spl
| contains_cpq(triple(sK4_skl,create_slb,sK5_skl),sK6_skl) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,definition,
( sQ1_spl
<=> contains_pq(i(triple(sK4_skl,create_slb,sK5_skl)),sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ1_spl
| contains_pq(i(triple(sK4_skl,create_slb,sK5_skl)),sK6_skl) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f232,f234,f237]) ).
fof(f247,plain,
( ~ sQ1_spl
| contains_pq(create_pq,sK6_skl) ),
inference(forward_demodulation,[status(thm)],[f192,f238]) ).
fof(f248,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f247,f78]) ).
fof(f249,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f248]) ).
fof(f258,plain,
! [X0,X1,X2] : ~ contains_cpq(triple(X0,create_slb,X1),X2),
inference(resolution,[status(thm)],[f105,f157]) ).
fof(f266,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f235,f258]) ).
fof(f267,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f266]) ).
fof(f268,plain,
$false,
inference(sat_refutation,[status(thm)],[f240,f249,f267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:44:32 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.051040 seconds
% 0.14/0.42 % CPU time: 0.137663 seconds
% 0.14/0.42 % Total memory used: 78.606 MB
% 0.14/0.42 % Net memory used: 78.534 MB
%------------------------------------------------------------------------------