%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV367+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 : n007.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 0.07s 0.37s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 15 ( 12 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [U] : ~ contains_pq(create_pq,U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,conjecture,
! [U,V,W] :
( contains_pq(i(triple(U,create_slb,V)),W)
=> i(remove_cpq(triple(U,create_slb,V),W)) = remove_pq(i(triple(U,create_slb,V)),W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
~ ! [U,V,W] :
( contains_pq(i(triple(U,create_slb,V)),W)
=> i(remove_cpq(triple(U,create_slb,V),W)) = remove_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(f192,plain,
! [X0,X1] : i(triple(X0,create_slb,X1)) = create_pq,
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f229,plain,
? [U,V,W] :
( i(remove_cpq(triple(U,create_slb,V),W)) != remove_pq(i(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,
( i(remove_cpq(triple(sK4_skl,create_slb,sK5_skl),sK6_skl)) != remove_pq(i(triple(sK4_skl,create_slb,sK5_skl)),sK6_skl)
& contains_pq(i(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)],[f229]) ).
fof(f231,plain,
contains_pq(i(triple(sK4_skl,create_slb,sK5_skl)),sK6_skl),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f282,plain,
contains_pq(create_pq,sK6_skl),
inference(backward_demodulation,[status(thm)],[f192,f231]) ).
fof(f287,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f282,f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV367+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n007.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 08:41:20 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.37 % Refutation found
% 0.07/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.044503 seconds
% 0.12/0.40 % CPU time: 0.088966 seconds
% 0.12/0.40 % Total memory used: 19.951 MB
% 0.12/0.40 % Net memory used: 19.924 MB
%------------------------------------------------------------------------------