%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM009-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 0.27s 0.54s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 3 unt; 2 def)
% Number of atoms : 40 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1360,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(f1361,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(f1370,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(f1371,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(f2849,plain,
! [X0,X1] :
( c_UNITY_Ototalize(X0,X1) = X0
| ~ c_UNITY_Oall__total(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1360]) ).
fof(f2850,plain,
! [X0,X1] : c_UNITY_Oall__total(c_UNITY_Ototalize(X0,X1),X1),
inference(cnf_transformation,[status(thm)],[f1361]) ).
fof(f2861,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
inference(cnf_transformation,[status(thm)],[f1370]) ).
fof(f2862,plain,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
inference(cnf_transformation,[status(thm)],[f1371]) ).
fof(f2863,definition,
( sQ0_spl
<=> c_UNITY_Ototalize(v_F,t_a) = v_F ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f2864,plain,
( ~ sQ0_spl
| c_UNITY_Ototalize(v_F,t_a) = v_F ),
inference(component_clause,[status(thm)],[f2863]) ).
fof(f2865,plain,
( sQ0_spl
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
inference(component_clause,[status(thm)],[f2863]) ).
fof(f2866,definition,
( sQ1_spl
<=> c_UNITY_Oall__total(v_F,t_a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f2867,plain,
( ~ sQ1_spl
| c_UNITY_Oall__total(v_F,t_a) ),
inference(component_clause,[status(thm)],[f2866]) ).
fof(f2869,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2861,f2863,f2866]) ).
fof(f2870,plain,
( sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f2862,f2866,f2863]) ).
fof(f2872,plain,
( ~ sQ1_spl
| c_UNITY_Ototalize(v_F,t_a) = v_F ),
inference(resolution,[status(thm)],[f2849,f2867]) ).
fof(f2873,plain,
( ~ sQ1_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2872,f2865]) ).
fof(f2874,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2873]) ).
fof(f2875,plain,
( ~ sQ0_spl
| c_UNITY_Oall__total(v_F,t_a) ),
inference(paramodulation,[status(thm)],[f2864,f2850]) ).
fof(f2876,plain,
( ~ sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f2875,f2866,f2863]) ).
fof(f2877,plain,
$false,
inference(sat_refutation,[status(thm)],[f2869,f2870,f2874,f2876]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COM009-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n011.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 14:14:11 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.49 % Drodi V4.1.1
% 0.27/0.54 % Refutation found
% 0.27/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.57 % Elapsed time: 0.112102 seconds
% 0.27/0.57 % CPU time: 0.229742 seconds
% 0.27/0.57 % Total memory used: 71.257 MB
% 0.27/0.57 % Net memory used: 71.066 MB
%------------------------------------------------------------------------------