%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV269-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 09:07:13 AM UTC 2026
% Result : Unsatisfiable 37.23s 5.87s
% Output : CNFRefutation 37.23s
% 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 : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 9 ( 2 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Set_OUn__iff_2,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,c_union(VAR_3,VAR_1,VAR_2),VAR_2)
| ~ c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OUn__iff_2) ).
cnf(c_478,plain,
( c_in(A,c_union(D,B,C),C)
| ~ c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_Set_OUn__iff_2]) ).
fof(cls_conjecture_0,axiom,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_4003,plain,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_4004,plain,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
cnf(c_13550,plain,
c_in(v_X,c_union(A,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_4003,c_478]) ).
cnf(c_13551,plain,
$false,
inference(resolve,[status(thm)],[c_13550,c_4004]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV269-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 13:24:48 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.36 % Process 3253490 was started by sandbox on n014,
% 0.11/0.36 % Sat Sep 26 13:24:48 2026
% 0.11/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.44
% 0.14/0.44 % From the command line: assign(max_seconds, 300).
% 37.23/5.87
% 37.23/5.87 % given #500 (I,wt=30): 1048 c_Numeral_OBit(c_Numeral_Obin__pred(c_Numeral_Obin__minus(A)),c_Numeral_Obit_OB1) = c_Numeral_Obin__minus(c_Numeral_OBit(A,c_Numeral_Obit_OB1)). [copy(1047),flip(a)].
% 37.23/5.87
% 37.23/5.87 % given #1000 (I,wt=28): 1660 c_List_Olist_ONil = A | c_List_Olist_OCons(c_List_Ohd(A,B),c_List_Otl(A,B),B) = A. [copy(1659),flip(a)].
% 37.23/5.87
% 37.23/5.87 % given #1500 (I,wt=9): 2271 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Osemigroup__add(A) # tptp_name(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_12) # clausal_fof(1). [assumption].
% 37.23/5.87
% 37.23/5.87 % given #2000 (I,wt=7): 2771 class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) # tptp_name(clsarity_nat_41) # clausal_fof(1). [assumption].
% 37.23/5.87
% 37.23/5.87 % given #2500 (I,wt=20): 3293 -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset. [resolve(41,a,3,a)].
% 37.23/5.87
% 37.23/5.87 % given #3000 (I,wt=28): 3935 -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg) | c_in(B,c_Message_Osynth(C),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg) # tptp_name(cls_Message_OCrypt__synth_1) # clausal_fof(1). [assumption].
% 37.23/5.87
% 37.23/5.87 % SZS status Unsatisfiable for theBenchmark
% 37.23/5.87
% 37.23/5.87 % Proof 1 at 5.05 (+ 0.29) seconds.
% 37.23/5.87 % Length of proof is 5.
% 37.23/5.87 % Level of proof is 2.
% 37.23/5.87 % Maximum clause weight is 24.000.
% 37.23/5.87 % Given clauses 3050.
% 37.23/5.87
% 37.23/5.87 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------