%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWX206-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 03:13:26 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 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 : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Q] : impl(btrue,Q) = Q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Y] : x2(z,Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : plus_not_idem(X) = impl(eq(x2(X,X),X),eq2(btrue,bfalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
eq2(btrue,bfalse) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : eq(X,X) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : eq2(X,X) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X] : eq2(plus_not_idem(X),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0] : impl(btrue,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0] : x2(z,X0) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0] : plus_not_idem(X0) = impl(eq(x2(X0,X0),X0),eq2(btrue,bfalse)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
eq2(btrue,bfalse) = bfalse,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f24,plain,
! [X0] : eq(X0,X0) = btrue,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f25,plain,
! [X0] : eq2(X0,X0) = btrue,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f26,plain,
! [X0] : eq2(plus_not_idem(X0),bfalse) != btrue,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f29,plain,
! [X0] : plus_not_idem(X0) = impl(eq(x2(X0,X0),X0),bfalse),
inference(backward_demodulation,[status(thm)],[f20,f18]) ).
fof(f30,plain,
plus_not_idem(z) = impl(eq(z,z),bfalse),
inference(paramodulation,[status(thm)],[f16,f29]) ).
fof(f34,plain,
plus_not_idem(z) = impl(btrue,bfalse),
inference(forward_demodulation,[status(thm)],[f24,f30]) ).
fof(f35,plain,
plus_not_idem(z) = bfalse,
inference(forward_demodulation,[status(thm)],[f14,f34]) ).
fof(f36,plain,
eq2(bfalse,bfalse) != btrue,
inference(paramodulation,[status(thm)],[f35,f26]) ).
fof(f37,plain,
btrue != btrue,
inference(forward_demodulation,[status(thm)],[f25,f36]) ).
fof(f38,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWX206-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n020.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 10:34:17 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.52 % Elapsed time: 0.071057 seconds
% 0.16/0.52 % CPU time: 0.030475 seconds
% 0.16/0.52 % Total memory used: 213.920 KB
% 0.16/0.52 % Net memory used: 213.664 KB
%------------------------------------------------------------------------------