%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV268-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 : Fri Sep 25 03:12:41 PM UTC 2026
% Result : Unsatisfiable 6.84s 1.34s
% Output : Proof 6.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 4
% Syntax : Number of formulae : 91 ( 87 unt; 0 def)
% Number of atoms : 95 ( 79 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 25 ( 8 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f3,axiom,
( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).
fof(f3_nnf,plain,
! [V_G,V_H] :
( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [V_G,V_H] :
( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi2,axiom,
ifeq(c_lessequals(X0,X1,tc_set(tc_Message_Omsg)),true,c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(f0,negated_conjecture,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f0_nnf,plain,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(hi0,negated_conjecture,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h0,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(v_H)),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,hi0]) ).
cnf(h1,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(v_G)),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h0]) ).
cnf(h2,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h1]) ).
cnf(h3,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h2]) ).
cnf(h4,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h3]) ).
cnf(h5,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h4]) ).
cnf(h6,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h5]) ).
cnf(h7,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h6]) ).
cnf(h8,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h7]) ).
cnf(h9,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h8]) ).
cnf(h10,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h9]) ).
cnf(h11,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h10]) ).
cnf(h12,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h11]) ).
cnf(h13,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h12]) ).
cnf(h14,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h13]) ).
cnf(h15,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h14]) ).
cnf(h16,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h15]) ).
cnf(h17,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h16]) ).
cnf(h18,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h17]) ).
cnf(h19,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h18]) ).
cnf(h20,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h19]) ).
cnf(h21,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h20]) ).
cnf(t26,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h21]) ).
cnf(f2,axiom,
c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__idem_0) ).
fof(f2_nnf,plain,
! [V_H] : c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [V_H] : c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t0,plain,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t28,plain,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
inference(orient,[status(thm)],[t0]) ).
cnf(t30,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t26,t28]) ).
cnf(t31,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t30,t28]) ).
cnf(t32,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t31,t28]) ).
cnf(t33,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t32,t28]) ).
cnf(t34,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t33,t28]) ).
cnf(t35,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t34,t28]) ).
cnf(t36,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t35,t28]) ).
cnf(t37,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t36,t28]) ).
cnf(t38,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t37,t28]) ).
cnf(t39,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t38,t28]) ).
cnf(t40,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t39,t28]) ).
cnf(t41,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t40,t28]) ).
cnf(t42,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t41,t28]) ).
cnf(t43,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t42,t28]) ).
cnf(t44,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t43,t28]) ).
cnf(t45,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t44,t28]) ).
cnf(t46,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t45,t28]) ).
cnf(t47,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t46,t28]) ).
cnf(t48,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t47,t28]) ).
cnf(t49,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t48,t28]) ).
cnf(t50,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(v_G)),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t49,t28]) ).
cnf(t51,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t50,t28]) ).
cnf(t52,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t51,t28]) ).
cnf(t53,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t52,t28]) ).
cnf(t54,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t53,t28]) ).
cnf(t55,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t54,t28]) ).
cnf(t56,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t55,t28]) ).
cnf(t57,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t56,t28]) ).
cnf(t58,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t57,t28]) ).
cnf(t59,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t58,t28]) ).
cnf(t60,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t59,t28]) ).
cnf(t61,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t60,t28]) ).
cnf(t62,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t61,t28]) ).
cnf(t63,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t62,t28]) ).
cnf(t64,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t63,t28]) ).
cnf(t65,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t64,t28]) ).
cnf(t66,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t65,t28]) ).
cnf(t67,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t66,t28]) ).
cnf(t68,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t67,t28]) ).
cnf(t69,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t68,t28]) ).
cnf(t70,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t69,t28]) ).
cnf(t71,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H)))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t70,t28]) ).
cnf(t72,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t71,t28]) ).
cnf(t73,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(v_H)),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t72,t28]) ).
cnf(t74,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) = true,
inference(step,[status(thm)],[t73,t28]) ).
cnf(t29,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) = true,
inference(orient,[status(thm)],[t74]) ).
cnf(f1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1_nnf,plain,
~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(goal_0,negated_conjecture,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) != true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t29]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV268-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 18:58:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.84/1.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.84/1.34 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------