%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COM010-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 : Tue Sep 29 09:38:37 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.24s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 24 RR)
% Number of literals : 25 ( 24 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(c1,negated_conjecture,
v_F != v_G,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c2,axiom,
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/sandbox/benchmark/theBenchmark.p',cls_UNITY_Osurjective__mk__program_0) ).
cnf(c3,plain,
c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_G,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(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
v_G = c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_G,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),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c6,plain,
c_UNITY_OInit(v_G,t_a) = c_UNITY_OInit(v_F,t_a),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
c_Pair(c_UNITY_OInit(v_G,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))))) = 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))))),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_G,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) = 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),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,axiom,
c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c10,plain,
c_UNITY_OActs(v_G,t_a) = c_UNITY_OActs(v_F,t_a),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
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)))) = 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)))),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
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))))) = 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))))),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,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) = 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),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,axiom,
c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c15,plain,
c_UNITY_OAllowedActs(v_G,t_a) = c_UNITY_OAllowedActs(v_F,t_a),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
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)))) = 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)))),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,plain,
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))))) = 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))))),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,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) = 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),
inference(congruence,[status(thm)],[c17]) ).
cnf(c19,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_F,
inference(substitution,[status(thm)],[c2]) ).
cnf(c20,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_F,
inference(transitivity,[status(thm)],[c18,c19]) ).
cnf(c21,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_F,
inference(transitivity,[status(thm)],[c13,c20]) ).
cnf(c22,plain,
c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_G,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_F,
inference(transitivity,[status(thm)],[c8,c21]) ).
cnf(c23,plain,
v_G = v_F,
inference(transitivity,[status(thm)],[c4,c22]) ).
cnf(c24,plain,
v_F = v_G,
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
$false,
inference(resolution,[status(thm)],[c1,c24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM010-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n020.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 21:45:34 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.24 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.09/0.24
% 0.09/0.24 % SZS status Unsatisfiable
% 0.09/0.24
% 0.09/0.25 % SZS output start CNFRefutation
% See solution above
% 0.09/0.26
% 0.09/0.26 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------