%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV268-1 : 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 : n016.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 09:07:12 AM UTC 2026
% Result : Unsatisfiable 45.04s 22.18s
% Output : CNFRefutation 45.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Message_Oparts__idem_0,axiom,
! [VAR_0] : c_Message_Oparts(c_Message_Oparts(VAR_0)) = c_Message_Oparts(VAR_0),
file('theBenchmark.p',cls_Message_Oparts__idem_0) ).
cnf(c_3803,plain,
c_Message_Oparts(c_Message_Oparts(A)) = c_Message_Oparts(A),
inference(clausify,[status(thm)],[cls_Message_Oparts__idem_0]) ).
fof(cls_Message_Oparts__mono_0,axiom,
! [VAR_0,VAR_1] :
( c_lessequals(c_Message_Oparts(VAR_0),c_Message_Oparts(VAR_1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(VAR_0,VAR_1,tc_set(tc_Message_Omsg)) ),
file('theBenchmark.p',cls_Message_Oparts__mono_0) ).
cnf(c_3805,plain,
( c_lessequals(c_Message_Oparts(A),c_Message_Oparts(B),tc_set(tc_Message_Omsg))
| ~ c_lessequals(A,B,tc_set(tc_Message_Omsg)) ),
inference(clausify,[status(thm)],[cls_Message_Oparts__mono_0]) ).
fof(cls_conjecture_0,axiom,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_3808,plain,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_3809,plain,
~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
cnf(c_10435,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(v_H)),tc_set(tc_Message_Omsg)),
inference(resolve,[status(thm)],[c_3808,c_3805]) ).
cnf(c_10436,plain,
c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(paramod,[status(thm)],[c_3803,c_10435]) ).
cnf(c_10434,plain,
$false,
inference(resolve,[status(thm)],[c_3809,c_10436]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV268-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.43 % CPULimit : 300
% 0.10/15.43 % WCLimit : 300
% 0.10/15.43 % DateTime : Sat Sep 26 13:27:52 UTC 2026
% 0.10/15.43 % CPUTime :
% 0.10/15.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/15.44 % Process 1839303 was started by sandbox2 on n002,
% 0.10/15.44 % Sat Sep 26 13:27:52 2026
% 0.10/15.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.35/15.53
% 0.35/15.53 % From the command line: assign(max_seconds, 300).
% 45.04/22.18
% 45.04/22.18 % given #500 (I,wt=22): 836 -class_LOrder_Ojoin__semilorder(A) | -c_less(B,C,A) | c_SetInterval_OatLeastAtMost(C,B,A) = c_emptyset. [resolve(38,b,3,a)].
% 45.04/22.18
% 45.04/22.18 % given #1000 (I,wt=9): 1367 -class_LOrder_Ojoin__semilorder(A) | class_Orderings_Oord(A) # tptp_name(clsrel_LOrder_Ojoin__semilorder_0) # clausal_fof(1). [assumption].
% 45.04/22.18
% 45.04/22.18 % given #1500 (I,wt=9): 1867 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # tptp_name(clsrel_Ring__and__Field_Opordered__ring_5) # clausal_fof(1). [assumption].
% 45.04/22.18
% 45.04/22.18 % given #2000 (I,wt=15): 2611 c_List_Orotate1(c_List_Olist_ONil,A) = c_List_Olist_ONil # tptp_name(cls_List_Orotate1__is__Nil__conv_1) # clausal_fof(1). [assumption].
% 45.04/22.18
% 45.04/22.18 % given #2500 (I,wt=18): 3303 -class_Power_Orecpower(A) | c_Nat_Opower(B,c_1,A) = B # tptp_name(cls_Power_Opower__one__right_0) # clausal_fof(1). [assumption].
% 45.04/22.18
% 45.04/22.18 % SZS status Unsatisfiable for theBenchmark
% 45.04/22.18
% 45.04/22.18 % Proof 1 at 6.05 (+ 0.47) seconds.
% 45.04/22.18 % Length of proof is 5.
% 45.04/22.18 % Level of proof is 1.
% 45.04/22.18 % Maximum clause weight is 23.000.
% 45.04/22.18 % Given clauses 2867.
% 45.04/22.18
% 45.04/22.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------