%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWX233-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 03:13:31 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
f(nil) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : prop1(X) = eq(f(X),bfalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
eq(btrue,bfalse) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : eq(X,X) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X] : eq(prop1(X),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,plain,
f(nil) = btrue,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f22,plain,
! [X0] : prop1(X0) = eq(f(X0),bfalse),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
eq(btrue,bfalse) = bfalse,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f25,plain,
! [X0] : eq(X0,X0) = btrue,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f26,plain,
! [X0] : eq(prop1(X0),bfalse) != btrue,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f29,plain,
prop1(nil) = eq(btrue,bfalse),
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f30,plain,
prop1(nil) = bfalse,
inference(forward_demodulation,[status(thm)],[f24,f29]) ).
fof(f31,plain,
eq(bfalse,bfalse) != btrue,
inference(paramodulation,[status(thm)],[f30,f26]) ).
fof(f32,plain,
btrue != btrue,
inference(forward_demodulation,[status(thm)],[f25,f31]) ).
fof(f33,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWX233-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n009.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 10:37:14 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.54 % Elapsed time: 0.055509 seconds
% 0.24/0.54 % CPU time: 0.025579 seconds
% 0.24/0.54 % Total memory used: 202.240 KB
% 0.24/0.54 % Net memory used: 197.344 KB
%------------------------------------------------------------------------------