%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV237+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:46:57 PM UTC 2026
% Result : Theorem 0.19s 0.82s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 76 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 84 ( 42 ~; 35 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [U,V] : enc(i(U),enc(U,V)) = V,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [U] : i(i(U)) = U,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [U] :
( p(U)
=> p(i(U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [U,V,W] :
( ( p(W)
& p(V)
& p(U) )
=> p(enc(enc(i(tmk),V),enc(i(tc),U))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [U,V,W] :
( ( p(W)
& p(V)
& p(U) )
=> p(enc(tc,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
p(enc(tmk,pp)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
p(i(kk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,conjecture,
p(enc(pp,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ p(enc(pp,a)),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f27,plain,
! [X0,X1] : enc(i(X0),enc(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
! [X0] : i(i(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f30,plain,
! [U] :
( p(i(U))
| ~ p(U) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
! [X0] :
( p(i(X0))
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f44,plain,
! [U,V,W] :
( p(enc(enc(i(tmk),V),enc(i(tc),U)))
| ~ p(W)
| ~ p(V)
| ~ p(U) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f45,plain,
! [U,V] :
( p(enc(enc(i(tmk),V),enc(i(tc),U)))
| ! [W] : ~ p(W)
| ~ p(V)
| ~ p(U) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f46,plain,
! [X0,X1,X2] :
( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [U,V,W] :
( p(enc(tc,U))
| ~ p(W)
| ~ p(V)
| ~ p(U) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f48,plain,
! [U] :
( p(enc(tc,U))
| ! [W] : ~ p(W)
| ! [V] : ~ p(V)
| ~ p(U) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( p(enc(tc,X0))
| ~ p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f66,plain,
p(enc(tmk,pp)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f72,plain,
p(i(kk)),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f73,plain,
p(a),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f74,plain,
~ p(enc(pp,a)),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f88,plain,
! [X0] :
( p(X0)
| ~ p(i(X0)) ),
inference(paramodulation,[status(thm)],[f29,f31]) ).
fof(f347,plain,
! [X0,X1,X2] :
( p(enc(X1,enc(i(tc),X0)))
| ~ p(X2)
| ~ p(enc(tmk,X1))
| ~ p(X0) ),
inference(paramodulation,[status(thm)],[f27,f46]) ).
fof(f487,plain,
! [X0,X1] :
( p(enc(pp,enc(i(tc),X0)))
| ~ p(X1)
| ~ p(X0) ),
inference(resolution,[status(thm)],[f347,f66]) ).
fof(f491,plain,
! [X0,X1] :
( p(enc(pp,X0))
| ~ p(X1)
| ~ p(enc(tc,X0)) ),
inference(paramodulation,[status(thm)],[f27,f487]) ).
fof(f494,plain,
! [X0] :
( ~ p(X0)
| ~ p(enc(tc,a)) ),
inference(resolution,[status(thm)],[f491,f74]) ).
fof(f497,plain,
! [X0,X1,X2] :
( ~ p(X2)
| ~ p(X1)
| ~ p(a)
| ~ p(X0) ),
inference(resolution,[status(thm)],[f494,f49]) ).
fof(f509,plain,
! [X0,X1] :
( ~ p(X1)
| ~ p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f487,f519]) ).
fof(f519,plain,
! [X0,X1,X2] :
( ~ p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f73]) ).
fof(f520,plain,
! [X0] : ~ p(i(X0)),
inference(backward_subsumption_resolution,[status(thm)],[f88,f509]) ).
fof(f524,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f72,f520]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV237+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n013.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 08:35:05 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.82 % Refutation found
% 0.19/0.82 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.86 % Elapsed time: 0.394023 seconds
% 0.27/0.86 % CPU time: 2.683962 seconds
% 0.27/0.86 % Total memory used: 83.338 MB
% 0.27/0.86 % Net memory used: 79.177 MB
%------------------------------------------------------------------------------