%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV276-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 : Sun Sep 27 09:07:14 AM UTC 2026
% Result : Unsatisfiable 20.71s 8.12s
% Output : CNFRefutation 20.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 18
% Syntax : Number of formulae : 74 ( 36 unt; 0 def)
% Number of atoms : 124 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 82 ( 32 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 101 ( 11 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Event_OkeysFor__synth_H_0,axiom,
! [VAR_0,VAR_1] :
( c_in(c_Message_Omsg_OKey(v_sko__uhi(VAR_1,VAR_0)),VAR_1,tc_Message_Omsg)
| c_in(VAR_0,c_Message_OkeysFor(VAR_1),tc_nat)
| ~ c_in(VAR_0,c_Message_OkeysFor(c_Message_Osynth(VAR_1)),tc_nat) ),
file('theBenchmark.p',cls_Event_OkeysFor__synth_H_0) ).
cnf(c_1,plain,
( c_in(c_Message_Omsg_OKey(v_sko__uhi(B,A)),B,tc_Message_Omsg)
| c_in(A,c_Message_OkeysFor(B),tc_nat)
| ~ c_in(A,c_Message_OkeysFor(c_Message_Osynth(B)),tc_nat) ),
inference(clausify,[status(thm)],[cls_Event_OkeysFor__synth_H_0]) ).
fof(cls_Event_OkeysFor__synth_H_1,axiom,
! [VAR_0,VAR_1] :
( VAR_0 = c_Message_OinvKey(v_sko__uhi(VAR_1,VAR_0))
| c_in(VAR_0,c_Message_OkeysFor(VAR_1),tc_nat)
| ~ c_in(VAR_0,c_Message_OkeysFor(c_Message_Osynth(VAR_1)),tc_nat) ),
file('theBenchmark.p',cls_Event_OkeysFor__synth_H_1) ).
cnf(c_2,plain,
( A = c_Message_OinvKey(v_sko__uhi(B,A))
| c_in(A,c_Message_OkeysFor(B),tc_nat)
| ~ c_in(A,c_Message_OkeysFor(c_Message_Osynth(B)),tc_nat) ),
inference(clausify,[status(thm)],[cls_Event_OkeysFor__synth_H_1]) ).
cnf(c_3,plain,
( c_Message_OinvKey(v_sko__uhi(B,A)) = A
| c_in(A,c_Message_OkeysFor(B),tc_nat)
| ~ c_in(A,c_Message_OkeysFor(c_Message_Osynth(B)),tc_nat) ),
inference(copy,[status(thm)],[c_2]) ).
fof(cls_Message_Oanalz__subset__parts_0,axiom,
! [VAR_0] : c_lessequals(c_Message_Oanalz(VAR_0),c_Message_Oparts(VAR_0),tc_set(tc_Message_Omsg)),
file('theBenchmark.p',cls_Message_Oanalz__subset__parts_0) ).
cnf(c_5,plain,
c_lessequals(c_Message_Oanalz(A),c_Message_Oparts(A),tc_set(tc_Message_Omsg)),
inference(clausify,[status(thm)],[cls_Message_Oanalz__subset__parts_0]) ).
fof(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,axiom,
! [VAR_0] : c_Message_OinvKey(c_Message_OinvKey(VAR_0)) = VAR_0,
file('theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
cnf(c_6,plain,
c_Message_OinvKey(c_Message_OinvKey(A)) = A,
inference(clausify,[status(thm)],[cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0]) ).
fof(cls_Message_OkeysFor__mono_0,axiom,
! [VAR_0,VAR_1] :
( c_lessequals(c_Message_OkeysFor(VAR_0),c_Message_OkeysFor(VAR_1),tc_set(tc_nat))
| ~ c_lessequals(VAR_0,VAR_1,tc_set(tc_Message_Omsg)) ),
file('theBenchmark.p',cls_Message_OkeysFor__mono_0) ).
cnf(c_7,plain,
( c_lessequals(c_Message_OkeysFor(A),c_Message_OkeysFor(B),tc_set(tc_nat))
| ~ c_lessequals(A,B,tc_set(tc_Message_Omsg)) ),
inference(clausify,[status(thm)],[cls_Message_OkeysFor__mono_0]) ).
fof(cls_Message_OkeysFor__Un_0,axiom,
! [VAR_0,VAR_1] : c_Message_OkeysFor(c_union(VAR_0,VAR_1,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(VAR_0),c_Message_OkeysFor(VAR_1),tc_nat),
file('theBenchmark.p',cls_Message_OkeysFor__Un_0) ).
cnf(c_8,plain,
c_Message_OkeysFor(c_union(A,B,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(A),c_Message_OkeysFor(B),tc_nat),
inference(clausify,[status(thm)],[cls_Message_OkeysFor__Un_0]) ).
cnf(c_9,plain,
c_union(c_Message_OkeysFor(A),c_Message_OkeysFor(B),tc_nat) = c_Message_OkeysFor(c_union(A,B,tc_Message_Omsg)),
inference(copy,[status(thm)],[c_8]) ).
fof(cls_Message_Oparts__analz_0,axiom,
! [VAR_0] : c_Message_Oparts(c_Message_Oanalz(VAR_0)) = c_Message_Oparts(VAR_0),
file('theBenchmark.p',cls_Message_Oparts__analz_0) ).
cnf(c_10,plain,
c_Message_Oparts(c_Message_Oanalz(A)) = c_Message_Oparts(A),
inference(clausify,[status(thm)],[cls_Message_Oparts__analz_0]) ).
fof(cls_Message_Oparts__insert__subset__Un_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_lessequals(c_Message_Oparts(c_insert(VAR_0,VAR_2,tc_Message_Omsg)),c_union(c_Message_Oparts(VAR_1),c_Message_Oparts(VAR_2),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(VAR_0,VAR_1,tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_Oparts__insert__subset__Un_0) ).
cnf(c_11,plain,
( c_lessequals(c_Message_Oparts(c_insert(A,C,tc_Message_Omsg)),c_union(c_Message_Oparts(B),c_Message_Oparts(C),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(A,B,tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_Oparts__insert__subset__Un_0]) ).
fof(cls_Message_Oparts__synth_0,axiom,
! [VAR_0] : c_Message_Oparts(c_Message_Osynth(VAR_0)) = c_union(c_Message_Oparts(VAR_0),c_Message_Osynth(VAR_0),tc_Message_Omsg),
file('theBenchmark.p',cls_Message_Oparts__synth_0) ).
cnf(c_12,plain,
c_Message_Oparts(c_Message_Osynth(A)) = c_union(c_Message_Oparts(A),c_Message_Osynth(A),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_Message_Oparts__synth_0]) ).
cnf(c_13,plain,
c_union(c_Message_Oparts(A),c_Message_Osynth(A),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(A)),
inference(copy,[status(thm)],[c_12]) ).
fof(cls_Message_Oparts__Un_0,axiom,
! [VAR_0,VAR_1] : c_Message_Oparts(c_union(VAR_0,VAR_1,tc_Message_Omsg)) = c_union(c_Message_Oparts(VAR_0),c_Message_Oparts(VAR_1),tc_Message_Omsg),
file('theBenchmark.p',cls_Message_Oparts__Un_0) ).
cnf(c_14,plain,
c_Message_Oparts(c_union(A,B,tc_Message_Omsg)) = c_union(c_Message_Oparts(A),c_Message_Oparts(B),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_Message_Oparts__Un_0]) ).
cnf(c_15,plain,
c_union(c_Message_Oparts(A),c_Message_Oparts(B),tc_Message_Omsg) = c_Message_Oparts(c_union(A,B,tc_Message_Omsg)),
inference(copy,[status(thm)],[c_14]) ).
fof(cls_Set_OsubsetD_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,VAR_3,VAR_2)
| ~ c_lessequals(VAR_1,VAR_3,tc_set(VAR_2))
| ~ c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(c_16,plain,
( c_in(A,D,C)
| ~ c_lessequals(B,D,tc_set(C))
| ~ c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_Set_OsubsetD_0]) ).
fof(cls_Set_OUn__iff_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,VAR_1,VAR_3)
| c_in(VAR_0,VAR_2,VAR_3)
| ~ c_in(VAR_0,c_union(VAR_1,VAR_2,VAR_3),VAR_3) ),
file('theBenchmark.p',cls_Set_OUn__iff_0) ).
cnf(c_17,plain,
( c_in(A,B,D)
| c_in(A,C,D)
| ~ c_in(A,c_union(B,C,D),D) ),
inference(clausify,[status(thm)],[cls_Set_OUn__iff_0]) ).
fof(cls_Set_OUn__iff_1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,c_union(VAR_1,VAR_3,VAR_2),VAR_2)
| ~ c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OUn__iff_1) ).
cnf(c_18,plain,
( c_in(A,c_union(B,D,C),C)
| ~ c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_Set_OUn__iff_1]) ).
fof(cls_Set_OUn__iff_2,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,c_union(VAR_3,VAR_1,VAR_2),VAR_2)
| ~ c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OUn__iff_2) ).
cnf(c_19,plain,
( c_in(A,c_union(D,B,C),C)
| ~ c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_Set_OUn__iff_2]) ).
fof(cls_conjecture_0,axiom,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_20,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_21,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_2,axiom,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_22,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_conjecture_3,axiom,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_23,plain,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_3]) ).
cnf(c_24,plain,
( c_lessequals(c_Message_Oparts(c_insert(A,C,tc_Message_Omsg)),c_Message_Oparts(c_union(B,C,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(A,B,tc_Message_Omsg) ),
inference(paramod,[status(thm)],[c_15,c_11]) ).
cnf(c_26,plain,
c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(A)),c_Message_OkeysFor(c_Message_Oparts(A)),tc_set(tc_nat)),
inference(resolve,[status(thm)],[c_7,c_5]) ).
cnf(c_31,plain,
( c_in(A,c_Message_OkeysFor(B),tc_nat)
| c_in(A,c_Message_OkeysFor(C),tc_nat)
| ~ c_in(A,c_Message_OkeysFor(c_union(B,C,tc_Message_Omsg)),tc_nat) ),
inference(paramod,[status(thm)],[c_9,c_17]) ).
cnf(c_38,plain,
( c_in(v_K,A,tc_nat)
| ~ c_lessequals(c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),A,tc_set(tc_nat)) ),
inference(resolve,[status(thm)],[c_20,c_16]) ).
cnf(c_1350,plain,
( c_in(A,c_Message_Oparts(B),tc_Message_Omsg)
| ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_16,c_5]) ).
cnf(c_45,plain,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_1350,c_23]) ).
cnf(c_46,plain,
c_lessequals(c_Message_Oparts(c_insert(v_X,A,tc_Message_Omsg)),c_Message_Oparts(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),A,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[status(thm)],[c_24,c_21]) ).
cnf(c_47,plain,
( c_in(A,c_Message_OkeysFor(c_Message_Oparts(B)),tc_nat)
| ~ c_in(A,c_Message_OkeysFor(c_Message_Oanalz(B)),tc_nat) ),
inference(resolve,[status(thm)],[c_26,c_16]) ).
cnf(c_161,plain,
( c_in(A,c_Message_OkeysFor(c_Message_Oparts(B)),tc_nat)
| c_in(A,c_Message_OkeysFor(c_Message_Osynth(B)),tc_nat)
| ~ c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(B))),tc_nat) ),
inference(paramod,[status(thm)],[c_13,c_31]) ).
cnf(c_162,plain,
( c_in(A,c_Message_OkeysFor(c_Message_Oparts(B)),tc_nat)
| c_in(A,c_Message_OkeysFor(c_Message_Oparts(C)),tc_nat)
| ~ c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_union(B,C,tc_Message_Omsg))),tc_nat) ),
inference(paramod,[status(thm)],[c_15,c_31]) ).
cnf(c_350,plain,
c_lessequals(c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,A,tc_Message_Omsg))),c_Message_OkeysFor(c_Message_Oparts(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),A,tc_Message_Omsg))),tc_set(tc_nat)),
inference(resolve,[status(thm)],[c_46,c_7]) ).
cnf(c_870,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),v_G,tc_Message_Omsg))),tc_nat),
inference(resolve,[status(thm)],[c_350,c_38]) ).
cnf(c_874,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat) ),
inference(resolve,[status(thm)],[c_870,c_162]) ).
cnf(c_883,plain,
( c_in(v_K,c_union(c_Message_OkeysFor(c_Message_Oparts(v_G)),A,tc_nat),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat) ),
inference(resolve,[status(thm)],[c_874,c_18]) ).
cnf(c_898,plain,
( c_in(v_K,c_Message_OkeysFor(c_union(c_Message_Oparts(v_G),A,tc_Message_Omsg)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat) ),
inference(paramod,[status(thm)],[c_9,c_883]) ).
cnf(c_918,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,A,tc_Message_Omsg))),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat) ),
inference(paramod,[status(thm)],[c_15,c_898]) ).
cnf(c_935,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat),
inference(resolve,[status(thm)],[c_918,c_22]) ).
cnf(c_1351,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Oanalz(v_H))),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat) ),
inference(resolve,[status(thm)],[c_935,c_161]) ).
cnf(c_936,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat) ),
inference(paramod,[status(thm)],[c_10,c_1351]) ).
cnf(c_955,plain,
( c_in(v_K,c_union(A,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat) ),
inference(resolve,[status(thm)],[c_936,c_19]) ).
cnf(c_1035,plain,
( c_in(v_K,c_Message_OkeysFor(c_union(A,c_Message_Oparts(v_H),tc_Message_Omsg)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat) ),
inference(paramod,[status(thm)],[c_9,c_955]) ).
cnf(c_1072,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(A,v_H,tc_Message_Omsg))),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat) ),
inference(paramod,[status(thm)],[c_15,c_1035]) ).
cnf(c_1101,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat),
inference(resolve,[status(thm)],[c_1072,c_22]) ).
cnf(c_1106,plain,
( c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)) = v_K
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
inference(resolve,[status(thm)],[c_1101,c_3]) ).
cnf(c_1107,plain,
( c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
inference(resolve,[status(thm)],[c_1101,c_1]) ).
cnf(c_1166,plain,
( c_Message_OinvKey(v_K) = v_sko__uhi(c_Message_Oanalz(v_H),v_K)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
inference(paramod,[status(thm)],[c_1106,c_6]) ).
cnf(c_1172,plain,
( ~ c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
inference(paramod,[status(thm)],[c_1166,c_45]) ).
cnf(c_1352,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
inference(resolve,[status(thm)],[c_1172,c_1107]) ).
cnf(c_1245,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
inference(copy,[status(thm)],[c_1352]) ).
cnf(c_1246,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(resolve,[status(thm)],[c_1245,c_47]) ).
cnf(c_1262,plain,
c_in(v_K,c_union(A,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),tc_nat),
inference(resolve,[status(thm)],[c_1246,c_19]) ).
cnf(c_1308,plain,
c_in(v_K,c_Message_OkeysFor(c_union(A,c_Message_Oparts(v_H),tc_Message_Omsg)),tc_nat),
inference(paramod,[status(thm)],[c_9,c_1262]) ).
cnf(c_1348,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(A,v_H,tc_Message_Omsg))),tc_nat),
inference(paramod,[status(thm)],[c_15,c_1308]) ).
cnf(c_1349,plain,
$false,
inference(resolve,[status(thm)],[c_1348,c_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV276-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n014.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 26 13:26:07 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.38 % Process 3255980 was started by sandbox2 on n014,
% 0.10/5.38 % Sat Sep 26 13:26:07 2026
% 0.10/5.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/5.39
% 0.10/5.39 % From the command line: assign(max_seconds, 300).
% 20.71/8.12
% 20.71/8.12 % given #500 (T,wt=28): 811 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_union(A,c_insert(v_X,v_G,tc_Message_Omsg),tc_Message_Omsg))))),tc_nat). [para(28(a,1),787(a,2,1))].
% 20.71/8.12
% 20.71/8.12 % SZS status Unsatisfiable for theBenchmark
% 20.71/8.12
% 20.71/8.12 % Proof 1 at 1.62 (+ 0.94) seconds.
% 20.71/8.12 % Length of proof is 53.
% 20.71/8.12 % Level of proof is 24.
% 20.71/8.12 % Maximum clause weight is 29.000.
% 20.71/8.12 % Given clauses 667.
% 20.71/8.12
% 20.71/8.12 % SZS output start CNFRefutation for theBenchmark
% See solution above
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