%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV280-1 : 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 : n011.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 09:07:15 AM UTC 2026
% Result : Unsatisfiable 26.88s 4.33s
% Output : CNFRefutation 26.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 2 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clsarity_nat_3,axiom,
class_Orderings_Oorder(tc_nat),
file('theBenchmark.p',clsarity_nat_3) ).
cnf(c_40,plain,
class_Orderings_Oorder(tc_nat),
inference(clausify,[status(thm)],[clsarity_nat_3]) ).
fof(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
! [VAR_0,VAR_1] :
( c_lessequals(VAR_1,VAR_1,VAR_0)
| ~ class_Orderings_Oorder(VAR_0) ),
file('theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(c_42,plain,
( c_lessequals(B,B,A)
| ~ class_Orderings_Oorder(A) ),
inference(clausify,[status(thm)],[cls_Orderings_Oorder__class_Oaxioms__1_0]) ).
fof(cls_conjecture_0,axiom,
! [VAR_0] : c_in(c_Message_Omsg_ONonce(VAR_0),c_Event_Oused(v_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_1020,plain,
c_in(c_Message_Omsg_ONonce(A),c_Event_Oused(v_evs),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_Public_ONonce__supply__lemma_0,axiom,
! [VAR_0,VAR_1] :
( ~ c_lessequals(v_sko__urX(VAR_1),VAR_0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(VAR_0),c_Event_Oused(VAR_1),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
cnf(c_1021,plain,
( ~ c_lessequals(v_sko__urX(B),A,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(A),c_Event_Oused(B),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Public_ONonce__supply__lemma_0]) ).
cnf(c_3954,plain,
c_lessequals(A,A,tc_nat),
inference(resolve,[status(thm)],[c_42,c_40]) ).
cnf(c_4389,plain,
~ c_lessequals(v_sko__urX(v_evs),A,tc_nat),
inference(resolve,[status(thm)],[c_1021,c_1020]) ).
cnf(c_4390,plain,
$false,
inference(resolve,[status(thm)],[c_4389,c_3954]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV280-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n011.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 26 13:27:29 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.34 % Process 663298 was started by sandbox2 on n011,
% 0.07/0.34 % Sat Sep 26 13:27:29 2026
% 0.07/0.34 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.42
% 0.12/0.42 % From the command line: assign(max_seconds, 300).
% 26.88/4.33
% 26.88/4.33 % SZS status Unsatisfiable for theBenchmark
% 26.88/4.33
% 26.88/4.33 % Proof 1 at 3.69 (+ 0.08) seconds.
% 26.88/4.33 % Length of proof is 7.
% 26.88/4.33 % Level of proof is 2.
% 26.88/4.33 % Maximum clause weight is 21.000.
% 26.88/4.33 % Given clauses 456.
% 26.88/4.33
% 26.88/4.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------