%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL049-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:03:29 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
join(sk3,sk2) = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
join(join(sk1,sk3),sk2) != sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f18,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f30,plain,
join(sk1,sk2) = sk2,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f31,plain,
join(sk3,sk2) = sk2,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f32,plain,
join(join(sk1,sk3),sk2) != sk2,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f39,plain,
join(sk2,sk1) = sk2,
inference(forward_demodulation,[status(thm)],[f17,f30]) ).
fof(f40,plain,
join(sk2,sk3) = sk2,
inference(forward_demodulation,[status(thm)],[f17,f31]) ).
fof(f41,plain,
join(sk1,join(sk3,sk2)) != sk2,
inference(forward_demodulation,[status(thm)],[f18,f32]) ).
fof(f42,plain,
join(sk1,join(sk2,sk3)) != sk2,
inference(forward_demodulation,[status(thm)],[f17,f41]) ).
fof(f43,plain,
join(sk1,sk2) != sk2,
inference(forward_demodulation,[status(thm)],[f40,f42]) ).
fof(f44,plain,
join(sk2,sk1) != sk2,
inference(forward_demodulation,[status(thm)],[f17,f43]) ).
fof(f45,plain,
sk2 != sk2,
inference(forward_demodulation,[status(thm)],[f39,f44]) ).
fof(f46,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL049-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n017.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 04:04:11 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.53 % Elapsed time: 0.074189 seconds
% 0.15/0.53 % CPU time: 0.039142 seconds
% 0.15/0.53 % Total memory used: 677.776 KB
% 0.15/0.53 % Net memory used: 654.384 KB
%------------------------------------------------------------------------------