%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM010-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 0.37s 0.75s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2736,axiom,
! [V_y,T_a] : c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(V_y,T_a),c_Pair(c_UNITY_OActs(V_y,T_a),c_UNITY_OAllowedActs(V_y,T_a),tc_set(tc_set(tc_prod(T_a,T_a))),tc_set(tc_set(tc_prod(T_a,T_a)))),tc_set(T_a),tc_prod(tc_set(tc_set(tc_prod(T_a,T_a))),tc_set(tc_set(tc_prod(T_a,T_a))))),T_a) = V_y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2737,negated_conjecture,
c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2738,negated_conjecture,
c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2739,negated_conjecture,
c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2740,negated_conjecture,
v_F != v_G,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6090,plain,
! [X0,X1] : c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X0,X1),c_Pair(c_UNITY_OActs(X0,X1),c_UNITY_OAllowedActs(X0,X1),tc_set(tc_set(tc_prod(X1,X1))),tc_set(tc_set(tc_prod(X1,X1)))),tc_set(X1),tc_prod(tc_set(tc_set(tc_prod(X1,X1))),tc_set(tc_set(tc_prod(X1,X1))))),X1) = X0,
inference(cnf_transformation,[status(thm)],[f2736]) ).
fof(f6091,plain,
c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a),
inference(cnf_transformation,[status(thm)],[f2737]) ).
fof(f6092,plain,
c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a),
inference(cnf_transformation,[status(thm)],[f2738]) ).
fof(f6093,plain,
c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a),
inference(cnf_transformation,[status(thm)],[f2739]) ).
fof(f6094,plain,
v_F != v_G,
inference(cnf_transformation,[status(thm)],[f2740]) ).
fof(f6120,plain,
c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_F,t_a),c_Pair(c_UNITY_OActs(v_G,t_a),c_UNITY_OAllowedActs(v_G,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a) = v_G,
inference(paramodulation,[status(thm)],[f6091,f6090]) ).
fof(f6124,plain,
c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_F,t_a),c_Pair(c_UNITY_OActs(v_F,t_a),c_UNITY_OAllowedActs(v_G,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a) = v_G,
inference(forward_demodulation,[status(thm)],[f6092,f6120]) ).
fof(f6125,plain,
c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_F,t_a),c_Pair(c_UNITY_OActs(v_F,t_a),c_UNITY_OAllowedActs(v_F,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a) = v_G,
inference(forward_demodulation,[status(thm)],[f6093,f6124]) ).
fof(f6126,plain,
v_F = v_G,
inference(forward_demodulation,[status(thm)],[f6090,f6125]) ).
fof(f6127,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6126,f6094]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COM010-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n005.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 14:14:03 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.37/0.70 % Drodi V4.1.1
% 0.37/0.75 % Refutation found
% 0.37/0.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.37/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.44/0.82 % Elapsed time: 0.338161 seconds
% 0.44/0.82 % CPU time: 0.520316 seconds
% 0.44/0.82 % Total memory used: 101.778 MB
% 0.44/0.82 % Net memory used: 101.339 MB
%------------------------------------------------------------------------------