%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:10:16 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 18 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_F,T_a] :
( c_UNITY_Ototalize(V_F,T_a) = V_F
| ~ c_UNITY_Oall__total(V_F,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_F,T_a] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [X0,X1] :
( c_UNITY_Ototalize(X0,X1) = X0
| ~ c_UNITY_Oall__total(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0,X1] : c_UNITY_Oall__total(c_UNITY_Ototalize(X0,X1),X1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
c_UNITY_Ototalize(v_F,t_a) = v_F,
inference(backward_subsumption_resolution,[status(thm)],[f6,f7]) ).
fof(f10,plain,
~ c_UNITY_Oall__total(v_F,t_a),
inference(backward_subsumption_resolution,[status(thm)],[f5,f7]) ).
fof(f12,plain,
c_UNITY_Oall__total(v_F,t_a),
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f13,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f12,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n008.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 14:14:55 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.39 % Elapsed time: 0.042594 seconds
% 0.12/0.39 % CPU time: 0.121458 seconds
% 0.12/0.39 % Total memory used: 57.206 MB
% 0.12/0.39 % Net memory used: 56.757 MB
%------------------------------------------------------------------------------