%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV281-2 : 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 : n019.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 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 23 unt; 0 def)
% Number of atoms : 43 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 20 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 91 ( 37 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
! [VAR_0,VAR_1] :
( c_in(c_Message_Omsg_ONonce(VAR_0),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(VAR_1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| VAR_0 = VAR_1 ),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_1,plain,
( c_in(c_Message_Omsg_ONonce(A),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(B),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| A = B ),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_List_Olist_Odistinct__1_0,axiom,
! [VAR_0,VAR_1,VAR_2] : c_List_Olist_ONil != c_List_Olist_OCons(VAR_0,VAR_1,VAR_2),
file('theBenchmark.p',cls_List_Olist_Odistinct__1_0) ).
cnf(c_2,plain,
c_List_Olist_ONil != c_List_Olist_OCons(A,B,C),
inference(clausify,[status(thm)],[cls_List_Olist_Odistinct__1_0]) ).
cnf(c_3,plain,
c_List_Olist_OCons(A,B,C) != c_List_Olist_ONil,
inference(copy,[status(thm)],[c_2]) ).
fof(cls_Nat_Ole__add2_0,axiom,
! [VAR_0,VAR_1] : c_lessequals(VAR_0,c_plus(VAR_1,VAR_0,tc_nat),tc_nat),
file('theBenchmark.p',cls_Nat_Ole__add2_0) ).
cnf(c_4,plain,
c_lessequals(A,c_plus(B,A,tc_nat),tc_nat),
inference(clausify,[status(thm)],[cls_Nat_Ole__add2_0]) ).
fof(cls_Nat_Onat__add__right__cancel_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( VAR_0 = VAR_2
| c_plus(VAR_0,VAR_1,tc_nat) != c_plus(VAR_2,VAR_1,tc_nat) ),
file('theBenchmark.p',cls_Nat_Onat__add__right__cancel_0) ).
cnf(c_5,plain,
( A = C
| c_plus(A,B,tc_nat) != c_plus(C,B,tc_nat) ),
inference(clausify,[status(thm)],[cls_Nat_Onat__add__right__cancel_0]) ).
fof(cls_Nat_Oop_A_L_Oadd__0_0,axiom,
! [VAR_0] : c_plus(c_0,VAR_0,tc_nat) = VAR_0,
file('theBenchmark.p',cls_Nat_Oop_A_L_Oadd__0_0) ).
cnf(c_6,plain,
c_plus(c_0,A,tc_nat) = A,
inference(clausify,[status(thm)],[cls_Nat_Oop_A_L_Oadd__0_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_7,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_8,plain,
c_plus(c_List_Olist_OCons(A,B,C),D,tc_nat) != c_plus(c_List_Olist_ONil,D,tc_nat),
inference(resolve,[status(thm)],[c_5,c_3]) ).
cnf(c_11,plain,
~ c_in(c_Message_Omsg_ONonce(c_plus(A,v_sko__urX(B),tc_nat)),c_Event_Oused(B),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_7,c_4]) ).
cnf(c_12,plain,
c_plus(c_plus(c_List_Olist_OCons(A,B,C),D,tc_nat),E,tc_nat) != c_plus(c_plus(c_List_Olist_ONil,D,tc_nat),E,tc_nat),
inference(resolve,[status(thm)],[c_5,c_8]) ).
cnf(c_15,plain,
~ c_in(c_Message_Omsg_ONonce(v_sko__urX(A)),c_Event_Oused(A),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_6,c_11]) ).
cnf(c_16,plain,
( c_in(c_Message_Omsg_ONonce(A),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| v_sko__urX(v_evs) = A ),
inference(resolve,[status(thm)],[c_15,c_1]) ).
cnf(c_18,plain,
c_plus(c_plus(c_plus(c_List_Olist_OCons(A,B,C),D,tc_nat),E,tc_nat),F,tc_nat) != c_plus(c_plus(c_plus(c_List_Olist_ONil,D,tc_nat),E,tc_nat),F,tc_nat),
inference(resolve,[status(thm)],[c_5,c_12]) ).
cnf(c_19,plain,
c_plus(c_plus(c_plus(c_plus(c_List_Olist_OCons(A,B,C),D,tc_nat),E,tc_nat),F,tc_nat),V6,tc_nat) != c_plus(c_plus(c_plus(c_plus(c_List_Olist_ONil,D,tc_nat),E,tc_nat),F,tc_nat),V6,tc_nat),
inference(resolve,[status(thm)],[c_5,c_18]) ).
cnf(c_31,plain,
v_sko__urX(v_evs) = v_sko__urX(v_evs_H),
inference(resolve,[status(thm)],[c_16,c_15]) ).
cnf(c_20,plain,
v_sko__urX(v_evs_H) = v_sko__urX(v_evs),
inference(copy,[status(thm)],[c_31]) ).
cnf(c_32,plain,
v_sko__urX(v_evs) = c_plus(A,v_sko__urX(v_evs_H),tc_nat),
inference(resolve,[status(thm)],[c_16,c_11]) ).
cnf(c_33,plain,
v_sko__urX(v_evs) = c_plus(A,v_sko__urX(v_evs),tc_nat),
inference(paramod,[status(thm)],[c_20,c_32]) ).
cnf(c_21,plain,
c_plus(A,v_sko__urX(v_evs),tc_nat) = v_sko__urX(v_evs),
inference(copy,[status(thm)],[c_33]) ).
cnf(c_25,plain,
c_plus(c_plus(c_plus(c_plus(c_plus(c_List_Olist_OCons(A,B,C),D,tc_nat),E,tc_nat),F,tc_nat),V6,tc_nat),V7,tc_nat) != c_plus(c_plus(c_plus(c_plus(c_plus(c_List_Olist_ONil,D,tc_nat),E,tc_nat),F,tc_nat),V6,tc_nat),V7,tc_nat),
inference(resolve,[status(thm)],[c_5,c_19]) ).
cnf(c_26,plain,
c_plus(c_plus(c_plus(c_plus(c_plus(c_plus(c_List_Olist_OCons(A,B,C),D,tc_nat),E,tc_nat),F,tc_nat),V6,tc_nat),V7,tc_nat),V8,tc_nat) != c_plus(c_plus(c_plus(c_plus(c_plus(c_plus(c_List_Olist_ONil,D,tc_nat),E,tc_nat),F,tc_nat),V6,tc_nat),V7,tc_nat),V8,tc_nat),
inference(resolve,[status(thm)],[c_5,c_25]) ).
cnf(c_27,plain,
c_plus(c_plus(c_plus(c_plus(c_plus(c_plus(c_plus(c_List_Olist_OCons(A,B,C),D,tc_nat),E,tc_nat),F,tc_nat),V6,tc_nat),V7,tc_nat),V8,tc_nat),V9,tc_nat) != c_plus(c_plus(c_plus(c_plus(c_plus(c_plus(c_plus(c_List_Olist_ONil,D,tc_nat),E,tc_nat),F,tc_nat),V6,tc_nat),V7,tc_nat),V8,tc_nat),V9,tc_nat),
inference(resolve,[status(thm)],[c_5,c_26]) ).
cnf(c_34,plain,
( B = A
| v_sko__urX(v_evs) != c_plus(A,v_sko__urX(v_evs),tc_nat) ),
inference(paramod,[status(thm)],[c_21,c_5]) ).
cnf(c_35,plain,
( B = A
| v_sko__urX(v_evs) != v_sko__urX(v_evs) ),
inference(paramod,[status(thm)],[c_21,c_34]) ).
cnf(c_29,plain,
A = B,
inference(copy,[status(thm)],[c_35]) ).
cnf(c_30,plain,
$false,
inference(resolve,[status(thm)],[c_29,c_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 13:27:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 1428099 was started by sandbox2 on n019,
% 0.09/0.36 % Sat Sep 26 13:27:18 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.09/0.38
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.38
% 0.09/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.38 % Length of proof is 21.
% 0.09/0.38 % Level of proof is 9.
% 0.09/0.38 % Maximum clause weight is 48.000.
% 0.09/0.38 % Given clauses 21.
% 0.09/0.38
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------