%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV257-1 : 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 : n013.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 09:07:10 AM UTC 2026
% Result : Unsatisfiable 33.63s 5.33s
% Output : CNFRefutation 33.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Message_Oanalz__increasing_0,axiom,
! [VAR_0] : c_lessequals(VAR_0,c_Message_Oanalz(VAR_0),tc_set(tc_Message_Omsg)),
file('theBenchmark.p',cls_Message_Oanalz__increasing_0) ).
cnf(c_3991,plain,
c_lessequals(A,c_Message_Oanalz(A),tc_set(tc_Message_Omsg)),
inference(clausify,[status(thm)],[cls_Message_Oanalz__increasing_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_4011,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(c_Message_Oparts(v_H),c_Message_Oparts(c_Message_Oanalz(v_H)),tc_set(tc_Message_Omsg)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_4015,plain,
~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_Message_Oanalz(v_H)),tc_set(tc_Message_Omsg)),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_10973,plain,
c_lessequals(c_Message_Oparts(A),c_Message_Oparts(c_Message_Oanalz(A)),tc_set(tc_Message_Omsg)),
inference(resolve,[status(thm)],[c_4011,c_3991]) ).
cnf(c_10974,plain,
$false,
inference(resolve,[status(thm)],[c_10973,c_4015]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV257-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 13:22:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2836660 was started by sandbox2 on n013,
% 0.10/0.37 % Sat Sep 26 13:22:36 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.45
% 0.10/0.45 % From the command line: assign(max_seconds, 300).
% 33.63/5.33
% 33.63/5.33 % given #500 (I,wt=26): 1076 -class_Ring__and__Field_Oidom(A) | -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A). [resolve(59,b,50,a)].
% 33.63/5.33
% 33.63/5.33 % given #1000 (I,wt=24): 1614 c_in(A,c_Inter(B,C),C) | c_in(c_Main_OInterI__1(A,B,C),B,tc_set(C)) # tptp_name(cls_Set_OInterI_0) # clausal_fof(1). [assumption].
% 33.63/5.33
% 33.63/5.33 % given #1500 (I,wt=16): 2132 c_Datatype_Ounit_Ounit__rec(A,c_Product__Type_OUnity,B) = A # tptp_name(cls_Datatype_Ounit_Orecs_0) # clausal_fof(1). [assumption].
% 33.63/5.33
% 33.63/5.33 % given #2000 (I,wt=18): 2915 -class_Ring__and__Field_Oordered__semidom(A) | c_lessequals(c_0,c_NatArith_Oof__nat(B,A),A) # tptp_name(cls_NatArith_Oof__nat__0__le__iff_0) # clausal_fof(1). [assumption].
% 33.63/5.33
% 33.63/5.33 % given #2500 (I,wt=29): 3570 -class_Ring__and__Field_Odivision__by__zero(A) | -class_Ring__and__Field_Oordered__field(A) | -c_less(c_0,B,A) | -c_lessequals(C,B,A) | c_lessequals(c_divide(C,B,A),c_1,A) # tptp_name(cls_Ring__and__Field_Odivide__le__eq__1__pos_1) # clausal_fof(1). [assumption].
% 33.63/5.33
% 33.63/5.33 % SZS status Unsatisfiable for theBenchmark
% 33.63/5.33
% 33.63/5.33 % Proof 1 at 4.55 (+ 0.23) seconds.
% 33.63/5.33 % Length of proof is 5.
% 33.63/5.33 % Level of proof is 2.
% 33.63/5.33 % Maximum clause weight is 23.000.
% 33.63/5.33 % Given clauses 2810.
% 33.63/5.33
% 33.63/5.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------