%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COM010-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 : Fri Sep 25 01:03:28 PM UTC 2026
% Result : Unsatisfiable 5.04s 1.11s
% Output : CNFRefutation 5.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 14 RR)
% Number of literals : 16 ( 15 equ; 2 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 : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X1,X2),c_Pair(c_UNITY_OActs(X1,X2),c_UNITY_OAllowedActs(X1,X2),tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2)))),tc_set(X2),tc_prod(tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2))))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,plain,
c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X1,X2),c_Pair(c_UNITY_OActs(X1,X2),c_UNITY_OAllowedActs(X1,X2),tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2)))),tc_set(X2),tc_prod(tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2))))),X2) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t1,axiom,
c_UNITY_OAllowedActs(v_G,t_a) = c_UNITY_OAllowedActs(v_F,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a),
inference(orient,[status(thm)],[t1]) ).
cnf(t10,plain,
v_F = 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(cp,[status(thm)],[t4,t9]) ).
cnf(t2,axiom,
c_UNITY_OInit(v_G,t_a) = c_UNITY_OInit(v_F,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a),
inference(orient,[status(thm)],[t2]) ).
cnf(t12,plain,
v_F = c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_G,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(step,[status(thm)],[t10,t5]) ).
cnf(t0,axiom,
c_UNITY_OActs(v_G,t_a) = c_UNITY_OActs(v_F,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a),
inference(orient,[status(thm)],[t0]) ).
cnf(t13,plain,
v_F = 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(step,[status(thm)],[t12,t7]) ).
cnf(t14,plain,
v_F = v_G,
inference(step,[status(thm)],[t13,t4]) ).
cnf(t11,plain,
v_F = v_G,
inference(orient,[status(thm)],[t14]) ).
cnf(goal_0,negated_conjecture,
v_G != v_F,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
v_G != v_G,
inference(rw,[status(thm)],[goal_0,t11]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM010-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 07:46:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.04/1.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.04/1.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------