%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV284-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 May 5 05:21:27 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.72s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 6 unt; 2 nHn; 12 RR)
% Number of literals : 30 ( 0 equ; 16 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 29 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Omsg__Nonce__supply_0,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(X2),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_x(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(X1)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_N,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Nat_Oadd__leE_0,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(X1,v_x(X1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Nat_Oadd__leE_1,axiom,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
cnf(c_0_6,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(X2),X1,tc_nat) ),
cls_Message_Omsg__Nonce__supply_0 ).
cnf(c_0_7,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_x(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(X1)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
cls_conjecture_2 ).
cnf(c_0_8,negated_conjecture,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_N,X1,tc_nat) ),
cls_conjecture_1 ).
cnf(c_0_9,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_x(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_msg),v_x(X1),tc_nat) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
cls_Nat_Oadd__leE_0 ).
cnf(c_0_11,negated_conjecture,
c_lessequals(X1,v_x(X1),tc_nat),
cls_conjecture_0 ).
cnf(c_0_12,negated_conjecture,
( ~ c_lessequals(v_sko__upX(v_msg),v_x(X1),tc_nat)
| ~ c_lessequals(v_N,v_x(X1),tc_nat) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
c_lessequals(X1,v_x(c_plus(X2,X1,tc_nat)),tc_nat),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat) ),
cls_Nat_Oadd__leE_1 ).
cnf(c_0_15,negated_conjecture,
~ c_lessequals(v_N,v_x(c_plus(X1,v_sko__upX(v_msg),tc_nat)),tc_nat),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
c_lessequals(X1,v_x(c_plus(X1,X2,tc_nat)),tc_nat),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV284-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n005.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 05:00:15 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.24/1.72 % Version : CSE_E---1.7
% 1.24/1.72 % Problem : theBenchmark.p
% 1.24/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.72 % SZS output start CNFRefutation
% See solution above
% 1.24/1.72 % Total time : 1.369s
%------------------------------------------------------------------------------