%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : COM010-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Jul 15 06:18:24 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 7 RR)
% Number of literals : 8 ( 7 equ; 1 neg)
% Maximal clause size : 1 ( 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 : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
v_F != v_G,
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c1,axiom,
c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c2,axiom,
c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c3,axiom,
c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c4,axiom,
c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X,Y),c_Pair(c_UNITY_OActs(X,Y),c_UNITY_OAllowedActs(X,Y),tc_set(tc_set(tc_prod(Y,Y))),tc_set(tc_set(tc_prod(Y,Y)))),tc_set(Y),tc_prod(tc_set(tc_set(tc_prod(Y,Y))),tc_set(tc_set(tc_prod(Y,Y))))),Y) = X,
file('theBenchmark.p',cls_UNITY_Osurjective__mk__program_0) ).
cnf(c5,plain,
v_F = v_G,
inference(equational,[status(thm)],[c1,c2,c3,c4]) ).
cnf(g1,plain,
v_F = v_G,
inference(equational,[status(thm)],[c5]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM010-2 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 14 05:03:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.20/0.46 % SZS status Unsatisfiable
% 0.20/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------