%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV052-1.002.001 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 12:46:15 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.31s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 21 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 3 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( X = i
| X = o ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : inv(X) != X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X1,X2] : unpack1(X1,X2,pack1(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X1,X2] : unpack1(inv(X1),X2,pack1(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X1,X2] : unpack1(X1,X2,inv(pack1(X1,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X1,X2] : unpack2(X1,X2,pack1(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X1,X2] : unpack2(X1,inv(X2),pack1(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] :
( X0 = i
| X0 = o ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [X0] : inv(X0) != X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [X0,X1] : unpack1(X0,X1,pack1(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] : unpack1(inv(X0),X1,pack1(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
! [X0,X1] : unpack1(X0,X1,inv(pack1(X0,X1))) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1] : unpack2(X0,X1,pack1(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
! [X0,X1] : unpack2(X0,inv(X1),pack1(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
inv(i) = o,
inference(resolution,[status(thm)],[f11,f12]) ).
fof(f22,plain,
! [X0,X1] :
( X1 = o
| X0 = X1
| X0 = o ),
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f25,plain,
! [X0,X1] :
( pack1(X0,X1) = o
| unpack1(X0,X1,i) = X0 ),
inference(paramodulation,[status(thm)],[f11,f13]) ).
fof(f29,plain,
o != i,
inference(paramodulation,[status(thm)],[f21,f12]) ).
fof(f35,plain,
! [X0,X1] :
( pack1(X0,X1) = o
| unpack1(inv(X0),X1,i) = X0 ),
inference(paramodulation,[status(thm)],[f11,f14]) ).
fof(f37,plain,
! [X0] :
( X0 = inv(o)
| X0 = o ),
inference(resolution,[status(thm)],[f22,f12]) ).
fof(f64,plain,
i = inv(o),
inference(resolution,[status(thm)],[f37,f29]) ).
fof(f180,plain,
! [X0,X1] :
( unpack1(X0,X1,i) = X0
| unpack1(X0,X1,inv(o)) = X0 ),
inference(paramodulation,[status(thm)],[f25,f16]) ).
fof(f185,plain,
! [X0,X1] :
( unpack1(X0,X1,i) = X0
| unpack1(X0,X1,i) = X0 ),
inference(forward_demodulation,[status(thm)],[f64,f180]) ).
fof(f186,plain,
! [X0,X1] : unpack1(X0,X1,i) = X0,
inference(duplicate_literals_removal,[status(thm)],[f185]) ).
fof(f257,plain,
! [X0,X1] :
( pack1(X0,X1) = o
| inv(X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f186,f35]) ).
fof(f264,plain,
! [X0,X1] : unpack2(X0,inv(X1),o) = X1,
inference(backward_demodulation,[status(thm)],[f271,f19]) ).
fof(f266,plain,
! [X0,X1] : unpack2(X0,X1,o) = X1,
inference(backward_demodulation,[status(thm)],[f271,f17]) ).
fof(f271,plain,
! [X0,X1] : pack1(X0,X1) = o,
inference(forward_subsumption_resolution,[status(thm)],[f257,f12]) ).
fof(f294,plain,
! [X0] : inv(X0) = X0,
inference(forward_demodulation,[status(thm)],[f266,f264]) ).
fof(f295,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f294,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HWV052-1.002.001 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sun Sep 20 21:03:08 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.31 % Refutation found
% 0.02/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.33 % Elapsed time: 0.028016 seconds
% 0.02/0.33 % CPU time: 0.062415 seconds
% 0.02/0.33 % Total memory used: 2.160 MB
% 0.02/0.33 % Net memory used: 2.017 MB
%------------------------------------------------------------------------------